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and 31951?
351461
Calculate the least common multiple of 50022 and 14.
50022
What is the least common multiple of 6795 and 1890?
285390
What is the common denominator of 79/31752 and -117/686?
222264
Find the common denominator of -121/1000 and -43/40.
1000
Calculate the smallest common multiple of 94 and 401.
37694
Calculate the common denominator of -77/1676 and 55/252.
105588
Calculate the common denominator of 12/621325 and -57/173971.
4349275
Find the common denominator of -39/160 and 67/34720.
34720
Calculate the lowest common multiple of 818085 and 1636170.
1636170
Calculate the smallest common multiple of 65925 and 7325.
65925
Calculate the smallest common multiple of 3455 and 1255.
867205
Find the common denominator of 91/4 and -23/5300.
5300
Calculate the smallest common multiple of 920 and 6120.
140760
Calculate the common denominator of 101/6800 and 107/1530.
61200
Calculate the common denominator of -47/5964 and -35/32.
47712
Calculate the lowest common multiple of 12777 and 12.
51108
Calculate the common denominator of 95/6 and -68/4255.
25530
Find the common denominator of 97/5416 and 23/1352.
915304
Calculate the common denominator of 106/105 and -52/6289.
660345
Calculate the least common multiple of 1416 and 35636.
213816
Calculate the lowest common multiple of 1298 and 1595.
188210
What is the smallest common multiple of 76804 and 1688?
153608
Calculate the least common multiple of 2611 and 2611.
2611
Calculate the common denominator of 26/113 and -10/1197.
135261
Calculate the common denominator of 41/18634 and 65/238.
316778
What is the common denominator of -97/409918 and -58/9?
3689262
What is the common denominator of 129/5500 and 113/264?
33000
Calculate the least common multiple of 8 and 36556.
73112
What is the least common multiple of 357 and 15096?
105672
What is the common denominator of 169/336 and 59/8232?
16464
What is the common denominator of 121/168266 and -23/510?
2523990
What is the lowest common multiple of 9650 and 1930?
9650
Calculate the common denominator of 44/25 and -64/245535.
1227675
Calculate the least common multiple of 64920 and 30.
64920
What is the lowest common multiple of 155714 and 47912?
622856
Calculate the least common multiple of 355382 and 16.
2843056
Calculate the lowest common multiple of 40426 and 328.
161704
Calculate the common denominator of 57/238 and 27/2465.
34510
Calculate the common denominator of -3/892 and -11/8240.
1837520
Calculate the least common multiple of 36990 and 24660.
73980
Calculate the common denominator of -145/41832 and -107/28.
41832
What is the common denominator of 73/26 and 58/19167?
498342
What is the smallest common multiple of 3420 and 33?
37620
Calculate the common denominator of -14/15677 and -44.
15677
Calculate the smallest common multiple of 448 and 22848.
22848
Calculate the common denominator of -59/310 and -22/26133.
261330
What is the least common multiple of 27972 and 20424?
1286712
Calculate the least common multiple of 111558 and 9.
334674
Calculate the least common multiple of 548 and 268.
36716
What is the lowest common multiple of 164116 and 1958?
1805276
Find the common denominator of -29/16 and -93/72056.
144112
What is the common denominator of -58/543 and 19/492?
89052
What is the common denominator of -17/851968 and -119/1040?
4259840
Calculate the common denominator of -47/82446 and 65/48.
659568
What is the common denominator of 29/156 and -17/86710?
520260
What is the common denominator of 3/4745 and -72/715?
52195
Calculate the lowest common multiple of 46 and 1816.
41768
Find the common denominator of 43/803594 and 25/16.
6428752
Calculate the smallest common multiple of 1590 and 52470.
52470
Calculate the common denominator of 49/684 and -109/70.
23940
What is the common denominator of -131/374040 and 13/540?
1122120
Find the common denominator of -87/36476 and 157/198960.
2188560
What is the common denominator of 64/1395 and -67/135?
4185
What is the common denominator of -87/22846 and -17/6?
68538
What is the common denominator of 5/7326 and 61/288?
117216
Calculate the common denominator of 85/1020236 and 17/7024.
4080944
Calculate the smallest common multiple of 30186 and 20124.
60372
Find the common denominator of 55/57152 and -71/256.
228608
Find the common denominator of -125/4774 and 163/14322.
14322
Calculate the common denominator of 83/8 and 4/107629.
861032
Find the common denominator of 83/290520 and 73/72630.
290520
What is the least common multiple of 204 and 83661?
5688948
Calculate the common denominator of 33/480940 and -2/519.
1442820
Calculate the least common multiple of 852 and 2556.
2556
Calculate the smallest common multiple of 167870 and 75.
2518050
What is the least common multiple of 72 and 23104?
207936
What is the smallest common multiple of 162 and 63048?
1702296
What is the common denominator of -38/1631 and -55/168?
39144
Calculate the least common multiple of 84397 and 6.
506382
What is the common denominator of -27/79376 and 125/64944?
714384
What is the common denominator of -7/54946 and 10/82419?
164838
Calculate the smallest common multiple of 957 and 4224.
122496
Calculate the least common multiple of 992 and 3968.
3968
Calculate the least common multiple of 24720 and 535.
2645040
Calculate the common denominator of 163/624 and -37/268.
41808
What is the smallest common multiple of 126 and 4977?
9954
What is the common denominator of 187/25020 and -23/33360?
100080
Calculate the lowest common multiple of 223 and 54.
12042
What is the lowest common multiple of 908064 and 20?
4540320
What is the lowest common multiple of 299460 and 85560?
598920
Calculate the smallest common multiple of 44 and 104132.
1145452
What is the common denominator of 29/52402 and -75/3458?
681226
Calculate the common denominator of -127/756 and 157/2814.
50652
Find the common denominator of -23/202 and -76/18513.
3739626
Find the common denominator of -67/132 and -115/6564.
72204
Find the common denominator of 85/1584 and -143/228.
30096
What is the smallest common multiple of 9485186 and 20?
94851860
Calculate the lowest common multiple of 394680 and 660.
394680
Calculate the smallest common multiple of 410710 and 55.
4517810
Find the common denominator of 16/70817 and -57/4.
283268
What is the lowest common multiple of 559 and 8554?
367822
What is the least common multiple of 15960 and 6384?
31920
What is the common denominator of 7/18 and -79/88700?
798300
Calculate the least common multiple of 7 and 927693.
6493851
What is the smallest common multiple of 1358 and 11676?
1132572
Calculate the common denominator of -85/2332 and 41/375452.
375452
Calculate the lowest common multiple of 9810 and 198.
107910
Calculate the least common multiple of 110 and 300410.
300410
What is the common denominator of 103/187230 and 57/869?
2059530
What is the lowest common multiple of 308 and 87428?
611996
What is the smallest common multiple of 212 and 94340?
94340
Calculate the smallest common multiple of 27426 and 6.
27426
Find the common denominator of -103/7560 and 17/3360.
30240
Find the common denominator of -95/6606 and -181/11010.
33030
What is the smallest common multiple of 60 and 34120?
102360
What is the common denominator of -65/297 and -131/1585386?
1585386
Find the common denominator of 67/36052 and -59/40.
360520
Calculate the least common multiple of 19 and 2044.
38836
Find the common denominator of -47/60907 and -47/99.
548163
Calculate the common denominator of 22/855 and -46/5.
855
Find the common denominator of 6/74347 and -45/40033.
520429
What is the smallest common multiple of 101565 and 67710?
203130
Calculate the lowest common multiple of 27 and 846.
2538
What is the lowest common multiple of 151928 and 28?
151928
What is the smallest common multiple of 18300 and 200?
36600
What is the smallest common multiple of 199868 and 88?
4397096
Calculate the smallest common multiple of 261 and 146367.
4244643
Find the common denominator of 62/40635 and 77/30.
81270
Calculate the lowest common multiple of 76958 and 16730.
384790
What is the least common multiple of 4113340 and 5?
4113340
What is the common denominator of -17/15340 and -109/1040?
61360
What is the smallest common multiple of 240 and 14760?
29
|
{
"pile_set_name": "DM Mathematics"
}
|
ming b is positive.
b**(-17/4)
Simplify (u**(-1/3))**38 assuming u is positive.
u**(-38/3)
Simplify w**1/w*w**3*(w/w**(-1/4))/w*w*((w**6/w)/w*w*w)/w assuming w is positive.
w**(37/4)
Simplify (q**8*q)/q**(9/2) assuming q is positive.
q**(9/2)
Simplify (i**(-1))**(-1)*(i**(2/9)*i)/i**(-4) assuming i is positive.
i**(56/9)
Simplify x**(1/2)*x*x/x**(-3/7)*(x/(x/x**(2/15)))/(x/x**4) assuming x is positive.
x**(1273/210)
Simplify (x**(2/17)/(x/(x*x**(3/4)*x)))/(x**(-1))**(-2/5) assuming x is positive.
x**(499/340)
Simplify (k**4)**39 assuming k is positive.
k**156
Simplify c**(-7)/c*c**(-5)*c assuming c is positive.
c**(-12)
Simplify (l**(-2))**(-10)/(l*l**(3/4)*l*l*l**8/l) assuming l is positive.
l**(37/4)
Simplify j**17/j**(-15/8) assuming j is positive.
j**(151/8)
Simplify (o*(o**(2/53)/o)/o)**7 assuming o is positive.
o**(-357/53)
Simplify (j**(-1/2))**(-15)/(j*j/((j*(j/(j**(1/3)/j))/j)/j)*j**(-3/5)) assuming j is positive.
j**(203/30)
Simplify (f/(f/(f*f/(f**(-2)/f)*f)))**(-2/15)/(((f/(f/f**(-5)))/f*f)/(((((f*f*f**7/f)/f)/f)/f)/f)) assuming f is positive.
f**(41/5)
Simplify o**(-2/5)*o*o/o**(4/7)*(o/(o/(o/o**(5/2))))/o**(-2/5) assuming o is positive.
o**(-1/14)
Simplify m**(-23)/(m/(m**(-33)*m)) assuming m is positive.
m**(-56)
Simplify ((n**1/n*n)/(n/(n*n**4)))/(n*n**(-3)/n*n/n**3) assuming n is positive.
n**10
Simplify ((n**(-3/5))**(-2))**12 assuming n is positive.
n**(72/5)
Simplify z**(-9)*z*z/(z*z**26*z) assuming z is positive.
z**(-35)
Simplify ((o*o**1/o)**(-3/19))**(11/3) assuming o is positive.
o**(-11/19)
Simplify (h*h**(1/7))**(-27) assuming h is positive.
h**(-216/7)
Simplify (p**9)**44 assuming p is positive.
p**396
Simplify (h**(-11)/h)**(-8/5) assuming h is positive.
h**(96/5)
Simplify p/p**(-23/5)*p**(-2/93)*p*p assuming p is positive.
p**(3524/465)
Simplify (v/v**(-36))/v**21 assuming v is positive.
v**16
Simplify (m/m**23*m)**(-22) assuming m is positive.
m**462
Simplify (k*k**(-2/17)*k)**40 assuming k is positive.
k**(1280/17)
Simplify ((s/s**(-1/2))/s**(-2/13))/(((s*s/s**(-1)*s*s)/s)/s)**(-2/3) assuming s is positive.
s**(95/26)
Simplify x*(x*x**7)/x*x*x/(x*x*x/(x**(2/7)*x*x)*x*x)*x*x*x**(2/9)/(x**2/x*x) assuming x is positive.
x**(473/63)
Simplify (t/(t*t/(t/(t*t/t**(-21)*t))))**(-11) assuming t is positive.
t**264
Simplify y/(y/y**(1/2))*y**10 assuming y is positive.
y**(21/2)
Simplify (n**(-16/3)/(n/(n*(n*n**(-7/4))/n*n*n)))**24 assuming n is positive.
n**(-122)
Simplify (z**(-37)*z)/(z/z**(4/7)) assuming z is positive.
z**(-255/7)
Simplify ((c*c**(-7))**(-34))**(-38) assuming c is positive.
c**(-7752)
Simplify ((n/((n*n**11)/n))/n**(2/43))**(-22) assuming n is positive.
n**(9504/43)
Simplify (n/(n*n**(-2)*n))**(21/2)*n**(-2/11)*n*n**(3/7) assuming n is positive.
n**(1809/154)
Simplify u/(u/u**(2/11))*((u*u**(-8))/u)/u*u/u**5*u/u**(-1) assuming u is positive.
u**(-119/11)
Simplify k/(k*k**1*k)*k*k*k/(k**(2/19)/k)*(((k/(k*(k**(3/2)/k)/k*k))/k)/k)/(k**(-7)/k) assuming k is positive.
k**(281/38)
Simplify ((z*z**(-1/2)/z)/z*z**(2/15))/(z**(2/11)*z*z/(z**(1/9)/z)) assuming z is positive.
z**(-4393/990)
Simplify ((x*x**0/x*x)/x)**(-1/15)/(x**9/x**8) assuming x is positive.
1/x
Simplify (i*i/i**(-3/7))**(12/17) assuming i is positive.
i**(12/7)
Simplify (g*(g/(g*g**(-37)))/g)/g*g*g*g**(-2/77) assuming g is positive.
g**(2924/77)
Simplify ((g**0)**(-28))**(-1/10) assuming g is positive.
1
Simplify (i/i**(-2))/(i/(i*(i/i**(1/4))/i*i))*(i*i**0*i*i)**(-7/9) assuming i is positive.
i**(17/12)
Simplify f/f**(-13)*f**(2/19) assuming f is positive.
f**(268/19)
Simplify v*(((v/v**(-22)*v)/v)/v)/v*v**20 assuming v is positive.
v**42
Simplify (u/(u**0/u*u)*u)**48*(u/u**(2/13))/(u*u**2*u) assuming u is positive.
u**(1207/13)
Simplify (p**47/p)**7 assuming p is positive.
p**322
Simplify (w/(w**(-2)/w))**(-37)/((w*(w/(w/(w**(-8)/w)))/w)/(w/(w/w**8))) assuming w is positive.
w**(-131)
Simplify (t**5*t)/t**9*(t/t**8)/t*t*(t**(2/5)*t)/t assuming t is positive.
t**(-48/5)
Simplify h/h**(-8)*(h*h*h/(h/((h/(h*h*h**(2/7))*h)/h))*h)/h assuming h is positive.
h**(68/7)
Simplify (b**(-2/29)*b*b)/(b/(b*b/(b*b*b/b**(2/15))))*(b*b**(-1/7))/(b**(-2/7)/b) assuming b is positive.
b**(6721/3045)
Simplify (u*u/u**(-12))/(u/(u/u**(-24))) assuming u is positive.
u**38
Simplify ((o*o**(-2/9))**(-46))**(-10/11) assuming o is positive.
o**(3220/99)
Simplify (u*u*u**(-1/2)*u)**(-12)*u*u/(u*u**(-2/15))*u/(u/(u**2/u))*u assuming u is positive.
u**(-403/15)
Simplify ((r*r**(2/9))/r**7)/((r/(r*r*r**0/r*r))/(r*r**7)) assuming r is positive.
r**(29/9)
Simplify ((z/(z/z**(-5)))/z*(((z*z**(-3))/z)/z)/z)/((z**(2/9)/z)/(z**(-3)*z)) assuming z is positive.
z**(-110/9)
Simplify ((r**(-17)*r)/(r*r/r**18))**33 assuming r is positive.
1
Simplify (p*p**10*p**10)**39 assuming p is positive.
p**819
Simplify t*t**(-2/3)*t**(-2/7)*(t*t**2*t)/(t/t**(-2)) assuming t is positive.
t**(22/21)
Simplify (q/(q*q*q**(2/3))*q)**1*(q**(2/7)/q)**(-18) assuming q is positive.
q**(256/21)
Simplify z**(-8)/((z**(-5)*z)/z)*z**(-7)*z*z**9 assuming z is positive.
1
Simplify c**(15/8)*c**(-12) assuming c is positive.
c**(-81/8)
Simplify ((u/u**(-4))/(u/(u*(((u**(-2/3)*u)/u*u)/u)/u)))/((u**(2/3)*u*u)/u*u)**34 assuming u is positive.
u**(-262/3)
Simplify (j**9*j*j*(j**2/j*j)/j)**(-2) assuming j is positive.
j**(-24)
Simplify (u*(u/((((u**(-2/11)*u)/u*u)/u)/u)*u*u)/u*u**(1/10))/((u**(-5)*u)/(u*u**1)) assuming u is positive.
u**(1131/110)
Simplify x**3*(x*((x*x/(x/x**(-7)))/x)/x)/x*((x*x**(1/3))/x*x)**(-2/41) assuming x is positive.
x**(-623/123)
Simplify ((s/(s/s**(2/3)))/s*(s*s**(-8))/s)**(18/5) assuming s is positive.
s**(-30)
Simplify (j*(j*j*j/(j**0/j))/j)**(-3/8)*(j*j**(-2))**(-6/5) assuming j is positive.
j**(-3/10)
Simplify (l*l/(l*l**13/l))/l**(-22) assuming l is positive.
l**11
Simplify u**(-2/13)*u**(-2)*(u**1)**(-8/3) assuming u is positive.
u**(-188/39)
Simplify (m**(2/9))**(-34/5)/((m*m*m*m**(2/19))/(m**(1/11)/m)) assuming m is positive.
m**(-51967/9405)
Simplify m/(m/m**(-37)*m)*m*m*m/(m*m**43)*m*m assuming m is positive.
m**(-77)
Simplify (b*b**(-3/14))/b**11 assuming b is positive.
b**(-143/14)
Simplify ((k/k**(-2/3))**(3/20))**(1/4) assuming k is positive.
k**(1/16)
Simplify l*(l**(-19)*l)/l*l**(-2)/l assuming l is positive.
l**(-21)
Simplify (u/(u/u**(-2/7)))**(3/20)*(u*u*u/u**3)/u**(-2/21) assuming u is positive.
u**(11/210)
Simplify b**(-2/17)*b**(-2/7)*((b*b*b**6*b)/b*b)/((b/(b/(b/b**(-7))))/b*b) assuming b is positive.
b**(71/119)
Simplify (r**(-1/9)/(r*(r/(((r*((r*(r**(-2)/r)/r*r*r)/r)/r)/r)/r))/r))**48 assuming r is positive.
r**(-736/3)
Simplify ((g**2*g)/(g/(g*g*g**(-6/11))))**3 assuming g is positive.
g**(114/11)
Simplify (f**(-1/2)*f*f)/((f**(-8)/f)/f) assuming f is positive.
f**(23/2)
Simplify (p*((p*p*p**4*p)/p)/p)**(2/37) assuming p is positive.
p**(12/37)
Simplify (p**(6/5)*(p/(p**(4/9)/p)*p)/p)**(-34) assuming p is positive.
p**(-4216/45)
Simplify (q/(q**5/q)*q**(-6))/((q/(q/q**8))/q**(-5)) assuming q is positive.
q**(-22)
Simplify v**6*v**(1/9)*(v*v**0/v*v)**(1/21) assuming v is positive.
v**(388/63)
Simplify ((w**23/w*w)/w)**(1/7) assuming w is positive.
w**(22/7)
Simplify x**(-1/2)/((x**(-9)/x*x*x)/x*x)*x/(x**(-1)/x*x)*x/x**(5/3)*x assuming x is positive.
x**(59/6)
Simplify (s**(2/5)/s)**(-34)/(s/(s/(s**(1/3)*s))*s)**(-18) assuming s is positive.
s**(312/5)
Simplify q/q**(2/47)*q/q**(1/25) assuming q is positive.
q**(2253/1175)
Simplify ((v*v**(1/4)*v)/(v**(-6/5)/v))/((((v**(-3/8)/v)/v)/v*v)/(v/(v/(v**(-8)/v)))) assuming v is positive.
v**(-87/40)
Simplify y**8*y**(-4/19) assuming y is positive.
y**(148/19)
Simplify (d**(-2/7))**(-2/11)/(d**(-3/8)/d*d*d*d/((d**(1/4)*d*d*d*d)/d)*d) assuming d is positive.
d**(417/616)
Simplify ((z**2/z)/z)/(((z/(z/(z/(z*z*z*z/(z**6/z)))))/z*z)/z)*(z/(z*z*z**(4/5)))/z**3 assuming z is positive.
z**(-29/5)
Simplify c**(2/79)*c**(-3/4)/c assuming c is positive.
c**(-545/316)
Simplify (z/(z/(z**(1/3)/z)))/z**6*(z**1)**(-45) assuming z is positive.
z**(-155/3)
Simplify (m*m/m**15)**48 assuming m is positive.
m**(-624)
Simplify (v**(-3/22))**(-4) assuming v is positive.
v**(6/11)
Simplify (g**(-6/5)*g*g)**(14/9) assuming g is positive.
g**(56/45)
Simplify (l**2)**(-1/36)*((l**(-1/2)/l)/l*l)/(l**(1/4)/l) assuming l is positive.
l**(-29/36)
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the biggest value in 2/3, 2/13, k?
2/3
Let b = -379 - -379.3. What is the third smallest value in -1/7, b, 2/29?
b
Suppose 5*k + g + 228 = -3*g, 0 = -2*k + 3*g - 105. Let s be 4/(k/(-58)) - 1. Let j = -19/6 + s. Which is the second biggest value? (a) j (b) 0.5 (c) -5
b
Let w = 2 + 11. Let u = 0.6 + -12.6. Let f = u + w. Which is the smallest value? (a) -3 (b) f (c) 0.5
a
Let q be (-44)/(-11) - (208/28 - 3). What is the second biggest value in q, 1, 17?
1
Suppose 48 = 2*z - 188. Suppose -2*r - z + 110 = 0. What is the second smallest value in -1/3, r, 84?
-1/3
Let f = 157 + -153. What is the fourth smallest value in 0.1, -3/5, f, 1/3?
f
Let l be -2 + 0 + 3 - -3. Which is the second smallest value? (a) -5 (b) -2/7 (c) l
b
Let g(x) = -2*x - 7. Let k be g(-13). Let o = k - 37. Let j be 15/o*(-6)/10. Which is the third biggest value? (a) j (b) -2/9 (c) -4/3
c
Let y = 283.8 - 284. Which is the second biggest value? (a) -4 (b) y (c) 1
b
Let r = 69 - 72.3. Let q = 3.4 + r. Let z(j) = j**3 - 6*j**2 + 6*j - 2. Let u be z(5). Which is the second smallest value? (a) q (b) -0.1 (c) u
a
Let z = 12.75 + 0.25. Let i = 13.19 - z. Let n = 0.24 - i. What is the second smallest value in n, -2, -5?
-2
Let q be (-7 + 5)*(-442)/4. Let o = 4201/19 - q. Which is the third biggest value? (a) o (b) -12 (c) 2
b
Let f = -246.4 - -270. Let d = f + -24. Which is the third biggest value? (a) -0.5 (b) d (c) 5
a
Let d = 23 - 23.4. Let v = 11 + -14. What is the third biggest value in d, -3/5, v?
v
Let f = -409 - -408.9. Which is the second biggest value? (a) -0.5 (b) -4/7 (c) f
a
Let m = -4.37 - -0.37. Let p = -3 - -3.6. Let l = 2888/13 + -222. Which is the biggest value? (a) p (b) m (c) l
a
Let z = 19 + -18. Let m = 145.8 - 146. Which is the third smallest value? (a) -0.5 (b) z (c) m
b
Suppose n - 4 = 0, 2*n - 38 = -6*g + 3*g. Let y be (((-2)/(-4))/((-5)/g))/2. What is the biggest value in y, -4, 6?
6
Suppose 11*k = 6*k + 35. Let i(f) = -2*f**2 + 13*f + 6. Let p be i(k). What is the third smallest value in 4, 1/4, p?
4
Let a = 40/357 - -2/357. What is the third biggest value in a, 0.3, 3, 1/2?
0.3
Let q = -8 - -4. Let n = 1.9 + 2.1. Let j = n - 1. Which is the biggest value? (a) q (b) -0.5 (c) j
c
Suppose 11 = -2*x - 23. Let n = -42.7 - -43. Which is the fourth biggest value? (a) x (b) -2 (c) n (d) -3
a
Let s(f) = f**2 - f. Let k be s(-1). Let t(m) = 6*m**2 + 2*m - 1. Let p be t(-2). Suppose 4*o + 35 = p. What is the smallest value in 4, k, o?
o
Let k(m) be the second derivative of m**4/12 - 2*m**2 - 3*m. Let x be k(-3). Suppose x = a + 4*a. What is the third smallest value in 0.3, a, -2/3?
a
Let s = -98/3 + 181/6. Let z = 112779613/5432 + -166099/8. Let o = z + 1/97. What is the biggest value in s, -1/4, o?
-1/4
Let b be (-21 - -19)/(65/(-5)). What is the biggest value in 0.3, b, 2.2?
2.2
Let l be 53/318 - (-3 - 26/(-12)). What is the smallest value in l, -0.4, 0.1, -8/5?
-8/5
Suppose m - 20 = -4*m. Suppose m*n = 3*n + 1. What is the second smallest value in 0.5, n, -3?
0.5
Let b(s) = s**2 + 2*s - 31. Let i be b(-7). Let j be (-2 - -1)/(0 - -1). Let m be j/4 + 2 + -2. What is the biggest value in 3/8, i, m?
i
Let t = 3.01 - 3.51. Let x = -0.27 - 0.13. Which is the second smallest value? (a) 0.1 (b) 2 (c) t (d) x
d
Suppose -32*x + 28*x + 2*u + 2 = 0, 7 = -x + 3*u. Which is the smallest value? (a) -1/7 (b) -3/5 (c) x (d) 1
b
Suppose 25 = -5*q, -i - 2*q = -6*q + 27. Let g = i - -283/6. Let y = -1 - -2. Which is the third biggest value? (a) 3/8 (b) g (c) y
b
Let n = 0.196 + 0.204. Which is the third smallest value? (a) -1/3 (b) n (c) 4
c
Let q = 6.83 + 0.17. Let v = 3 - q. Let p be -2 + 5 - 44/11. What is the third smallest value in -5, v, p?
p
Let k(y) = y**3 - 3*y**2 + 4*y - 3. Let w be k(2). Let j be (-7)/(-2) - (-2)/(-1). Let p = 9.9 + -9.5. Which is the third biggest value? (a) w (b) p (c) j
b
Let a = -5642/17 - -332. Let g = 2134 + -2129. Let h = -1.3 - -1. What is the biggest value in a, h, g?
g
Let h = -21 + 70. Let g = h + -48.7. Which is the biggest value? (a) g (b) 2/9 (c) 0.1
a
Let y = -1518 + 1507. Which is the third biggest value? (a) 0 (b) 2/7 (c) y
c
Let k be -2 + (0 - 2 - 0). Let g be (-60)/(-60)*-3*1. Let s be (5/k)/(g/(-8)). Which is the second smallest value? (a) s (b) 0 (c) -2
c
Let w(z) = 35*z + 7. Let y be w(14). Let m = -10439/21 + y. Which is the biggest value? (a) -1/4 (b) 5 (c) m
b
Let i = -0.596 + -0.034. Let v = -0.23 - i. Let o = 0.7 + -3.7. Which is the smallest value? (a) 3 (b) v (c) o
c
Let y(p) be the third derivative of -p**4/24 + p**3/3 + 2*p**2 - 1. Let o be y(-10). Which is the fourth biggest value? (a) o (b) -2/11 (c) 3/5 (d) 2/11
b
Let p = 353 + -361. Let u = -0.04 + -3.96. What is the second smallest value in p, u, -0.5?
u
Let p be (-28)/(-84) - 22/60. Let d = -845/36 + 93/4. What is the third biggest value in 4, 0, p, d?
p
Suppose 4*n = n - 15. Let k be (-38)/(-4) + (-8 - 0). What is the biggest value in -2, n, k?
k
Let s be 14/12*16/28. Let z = 37 - 37. Which is the second biggest value? (a) s (b) 3 (c) 2 (d) z
c
Let q = -0.0426 - 1.9254. Let v = 0.032 - q. Which is the third biggest value? (a) 0.1 (b) v (c) -2/3
c
Let g be ((-4)/6)/((-17)/(-3)). Let z be 50/(-4)*7/((-175)/10). Which is the third biggest value? (a) g (b) 2 (c) z
a
Let z = -52.43 + 52. Let t = z - -5.43. Which is the third smallest value? (a) -8 (b) t (c) -2
b
Let s be (1 + -3)/(2/4). Let j = -25.95 + 26.95. Which is the smallest value? (a) 0.19 (b) j (c) s
c
Let j(p) = p**3 + 4*p**2 + 1. Let f be j(-6). Let d = 211/3 + f. Let g = 0.4606 + -0.0606. What is the third biggest value in 2, g, d?
d
Let r = -2.6431 + 0.6431. Let l be 2/6 + (-2)/12. Which is the fourth smallest value? (a) 4 (b) r (c) -0.3 (d) l
a
Let z be 16/(-30) - 26/195. Let q = 0.028 - 1.028. Which is the biggest value? (a) 1/4 (b) q (c) z (d) -4/5
a
Let z = 2/2965 - -5776/228305. Which is the second smallest value? (a) 2 (b) z (c) -0.5 (d) -5
c
Let s = -5.6 - -9.5. Let o = 6.9 - s. Which is the third biggest value? (a) 0.3 (b) 3/8 (c) -5 (d) o
a
Let i(s) = -s**3 + 10*s**2 - 21*s - 20. Let x be i(6). Which is the second biggest value? (a) x (b) 0.4 (c) -22/23
c
Let s(z) = -4*z - 7*z**2 - 2*z - 2*z**3 - 3 + z**3. Let u be s(-6). Which is the fourth biggest value? (a) 4/7 (b) -2 (c) 0 (d) u
d
Let x = -49 + 102. Let j = x - 48. What is the smallest value in -18, -2, 0, j?
-18
Let v be (0 - -6)*(128/12)/2. Suppose 3*l + 2*l - 15 = 0, 4*w = -3*l - 3. Let f be w/(-26)*v/(-24). Which is the biggest value? (a) f (b) 4 (c) -1/4
b
Let h = 3.5 + -3. Suppose 2*k - 2 = 4*j, -14*j = -13*j + 5*k + 17. Which is the second smallest value? (a) -0.5 (b) h (c) j
a
Let p be (-20)/(-25) - 856/70. What is the smallest value in p, -2, 0?
p
Let k(l) = -8*l - 4. Let u be k(8). Let r = u - -341/5. Let y = -6 - -8. Which is the smallest value? (a) -1 (b) y (c) r
a
Let s = -0.6 - -2.6. Let w = 149 - 79. Let z be (-26)/(-91) - 6/w. What is the third smallest value in z, 2/5, s?
s
Let w = 0.0794 + 0.1206. What is the second biggest value in 3, w, 4, 1/3?
3
Let s be -1 - (4 + 0 + -3). Let v be ((-16)/(-12) - 1)*(-3)/s. Which is the second smallest value? (a) v (b) 2/9 (c) 3
a
Let t(j) = j**3 - 13*j**2 + 12*j - 18. Let u be t(12). Let i be -6 + (2 - 2) + (-5 - -5). Let a be (3/u)/((-2)/i). What is the biggest value in 0.5, a, -2/3?
0.5
Let d = -5.95 + -0.05. Let w = d + 3. Let r = -794 - -794. What is the second biggest value in w, -0.1, r?
-0.1
Let p(k) = k**3 + 3*k**2 - 4*k - 3. Let w = -66 + 62. Let c be p(w). What is the third smallest value in 4, 2, c?
4
Let l = -10.16 + 6.16. Suppose -5*b - 2 = -2*j + 1, 21 = 5*j + b. What is the third smallest value in 2, l, -2/13, j?
2
Suppose g + 8 = -2*r, 2*g - g - 3*r - 7 = 0. Let s be (-1 - 11/(-3))*((-36)/8 - -6). What is the second biggest value in g, s, -2/23?
-2/23
Let r = -335.9 - -359. Let g = r + -0.1. Let b = -22.5 + g. What is the smallest value in -3, 0.1, b?
-3
Let i = -1735.9 + 1737. Which is the third smallest value? (a) i (b) 3 (c) -2 (d) 0
a
Let l be (-5 - 10/(-3))*18/(-10). Let a = 2877/2 - 520741/362. Let c = a - -368/543. What is the thir
|
{
"pile_set_name": "DM Mathematics"
}
|
Let n be (-3)/(2/(-2 - 0)). Suppose x = n*x - 66. What is the greatest common divisor of x and m?
11
Suppose -2*z + 10 = s - 15, -2*z + 22 = 2*s. What is the highest common factor of 154 and z?
14
Suppose -5*k - 14 = -o - 5, 2*o - 51 = -k. Let a = 263 + -257. Calculate the highest common divisor of o and a.
6
Let s be (0 + -1)*(-1 + -2). Suppose -41 = -s*g + 4*x, -2*g + 4*x = -x - 39. Let t be 76 - (-1 + 1 + -1). Calculate the highest common factor of t and g.
7
Suppose q - 3*q + 8 = 0. Let u be 0 + -1 + 1 + 44. What is the greatest common factor of q and u?
4
Let m be 2/(-3)*45/(-10). Suppose 0 = m*f - 3*n - 303, 5*f + 2*n = -3*n + 495. What is the highest common divisor of f and 25?
25
Suppose 98 = 5*s - 22. Suppose -s = -g - 3*g. Let h be (-501)/(-12) + 2/8. What is the highest common factor of h and g?
6
Suppose 0 = -2*m - 4*r - 41 - 29, -2*r = -4*m - 140. Let g be 3*1/(-5)*m. Calculate the greatest common factor of 14 and g.
7
Let l = -5 + 15. Let n(j) = -10*j + 2. Let g be n(2). Let o = 7 - g. What is the greatest common divisor of o and l?
5
Let r be 4/(-10) - 6*(-16)/15. What is the highest common factor of 66 and r?
6
Let j be -1 + -3 - 8/4. Let i = j - -10. Suppose 0*v - 36 = -i*v. Calculate the greatest common divisor of v and 72.
9
Let j be 8/1 - 2/1. Suppose 5 = 2*y + 3*y + 5*f, -3*f - 9 = 0. What is the highest common factor of j and y?
2
Let u = -35 + 56. Let y be 9*1 - (-1 - -3). Calculate the greatest common factor of u and y.
7
Let p be (-3 - -4)/(1/59). Let x = 5 + p. Suppose x = h + h. Calculate the highest common factor of 4 and h.
4
Let l = 86 - -61. Suppose -m = 2*m - l. Let t = 5 - -2. What is the greatest common factor of m and t?
7
Let n be 0 + (-12)/9*-3. Let q = 154 - 90. Suppose 0*s - q = -n*s. What is the greatest common divisor of s and 24?
8
Let a be (-1204)/(-6) + (-4)/6. Suppose -4*w - w = -a. Suppose -40 = -4*j + 5*y, -w = -2*j - 2*j - 5*y. What is the highest common factor of j and 80?
10
Let x(w) = 4*w - 21. Let l be x(21). What is the greatest common factor of 105 and l?
21
Suppose 2*x - 47 - 17 = 0. Let u be (-3)/9*-12*1. Calculate the highest common factor of x and u.
4
Suppose -28*l = -24*l - 20. Suppose 12 - 42 = -2*v. What is the highest common factor of v and l?
5
Suppose -2*w + 2*a = -220, 2*w + 5*a - 220 = a. Calculate the greatest common divisor of w and 10.
10
Suppose 2*v + 0 = 10, 2*o = v - 49. Let x = -9 - o. What is the greatest common factor of x and 65?
13
Suppose 4*b - 2 = 2*w, 4*b - 5*w = -9 + 2. What is the highest common factor of b and 34?
2
Suppose -4*t - 35 = -3*z, 13 + 37 = 5*z - 5*t. Suppose 3*i - f = 13, z*i - 11 - 12 = 2*f. Let l = -2 + i. Calculate the greatest common divisor of 8 and l.
1
Suppose 3*z = z. Suppose z = n + 3*n - 52. Calculate the highest common divisor of n and 104.
13
Let k(t) = -3 - 4*t**3 + 5*t**3 - 6 + 8*t**2 - 10*t. Let h be k(-9). Suppose 0 = w + 2*a - 92, h = 4*a - 2 - 2. What is the highest common factor of w and 10?
10
Let v be 2*4 - (1 - -1). Let z(k) = -k**3 + 5*k**2 + 7*k - 3. Let g be z(v). Calculate the greatest common divisor of 3 and g.
3
Let c(l) = -l**3 - 7*l**2 + 13. Let t be c(-8). What is the highest common factor of 7 and t?
7
Let s(i) = -i - 2. Let j be s(-3). Let f = -13 - -20. What is the highest common factor of j and f?
1
Let o be 1*(-3)/(-9)*6. Suppose -3*v = -2*s + 95, 3*s + o*v + 0*v - 136 = 0. What is the greatest common factor of s and 115?
23
Suppose 0 = -3*p + 163 + 23. Let c = p + -38. Calculate the highest common divisor of c and 6.
6
Suppose 0*v = 3*v + 27. Let c = 12 - v. What is the greatest common factor of 21 and c?
21
Suppose 5 + 7 = 3*l. Suppose l = 6*b - 2*b. Let g be b/(-2)*52/(-2). Calculate the highest common factor of g and 13.
13
Suppose -4*c = -444 - 380. Suppose n + 3*y - c = 0, 2*n + 131 = 5*y + 565. Let v = 356 - n. What is the highest common factor of v and 16?
16
Let u(r) = -2*r - 4. Let d be u(-3). Suppose d*v + 0*n = 2*n + 24, n = -v + 16. Let w = 3 - 1. Calculate the highest common factor of w and v.
2
Let i(x) be the third derivative of 2/3*x**5 + 0*x**3 - 3*x**2 + 0*x**4 + 0*x + 0. Let h be i(1). Calculate the highest common divisor of 8 and h.
8
Let p = 57 + -46. Calculate the highest common divisor of 22 and p.
11
Suppose 3*o - 14 = -2. Calculate the highest common divisor of 36 and o.
4
Let j = -41 - -90. Calculate the highest common factor of j and 7.
7
Let z = 1 - -3. Let n = 2 + 18. Calculate the greatest common factor of z and n.
4
Suppose -4*z - 112 = -b, 4*z = b - z - 113. Let v(o) = 16*o + 1. Let q be v(2). Let c = -21 + q. What is the highest common divisor of c and b?
12
Let d = 76 - 52. Let m = -15 + 25. Let t = 16 - m. What is the highest common factor of d and t?
6
Let b = -9 + 16. Calculate the greatest common divisor of 49 and b.
7
Let c = 11 - -13. Let b = -15 + c. Suppose -4*k - 9 = -5*k. What is the greatest common factor of b and k?
9
Let s = 8 + -11. Let w = 7 + s. What is the greatest common divisor of w and 44?
4
Suppose 155 + 130 = r. Suppose -3*q + 2*y = -2*y - r, 4*q - 2*y - 380 = 0. What is the greatest common divisor of q and 38?
19
Let j be ((-264)/30)/((-1)/10). Let w(n) = 21*n**3 + n**2. Let t be w(1). What is the greatest common divisor of j and t?
22
Let s = 3 - 0. Suppose -2*h + 1 = -1, 27 = 4*q + s*h. Let t be 13 + 1*(2 - 0). Calculate the highest common divisor of q and t.
3
Suppose 25 = 3*o + 2*o. What is the greatest common divisor of o and 2?
1
Suppose 3*r - j = 14, 0*r + 4*j - 46 = -5*r. Suppose -5*t - 69 = -2*s, -s + r*t = t - 47. Suppose -s = -g - 0. What is the highest common divisor of 33 and g?
11
Suppose 6*j = 3*j - 4*a + 31, 0 = -a + 4. Suppose 5*y = 4*c + c + 295, 0 = j*c + 15. What is the highest common factor of 7 and y?
7
Suppose s - 42 = 5*j + 2*s, -6 = j + s. Let q be ((-24)/j)/((-4)/(-54)). What is the highest common factor of 54 and q?
18
Let l be (70/(-3))/((-4)/18). Calculate the greatest common divisor of l and 15.
15
Let b(w) = w**2 + 10*w + 11. Let v be b(-8). Let x = 3 - v. Suppose 2 + 3 = 5*n. What is the highest common factor of n and x?
1
Let z(r) = -2*r + 2*r - r + 7. Let u be z(7). Suppose 4*j = 4, u*k + 2*k = 4*j + 32. Calculate the greatest common divisor of 54 and k.
18
Suppose -5*u - 5*g = -260, u - 8 - 38 = 5*g. Calculate the highest common factor of 34 and u.
17
Let l = -3 - 1. Let v be 28/21*(-6)/l. Let n be (v - -3) + -2 + 9. Calculate the highest common divisor of 30 and n.
6
Let p(h) be the first derivative of -9*h**4/2 - h**3 - 3*h**2/2 - 2*h - 7. Let c be p(-2). What is the highest common factor of c and 17?
17
Let y(l) be the first derivative of -l**3/3 - 7*l**2/2 + 9*l - 1. Let g be y(-8). Let v be g/((-33)/18 - -2). What is the highest common factor of v and 66?
6
Let p = -4 - -9. Suppose -k - p*r + 3*r = -51, 0 = -k + 4*r + 63. Calculate the highest common divisor of 5 and k.
5
Let m = 1 - 19. Let c be (-52)/(-9) - 4/m. What is the greatest common factor of 48 and c?
6
Let i(o) = 11*o - 3. Let f be i(7). Suppose 5*h - f = 2*q + q, 2*h - 41 = 5*q. What is the greatest common divisor of h and 117?
13
Let b be 6/(-10) - (-2 + (-18)/5). What is the highest common divisor of 20 and b?
5
Let y(x) = x**2 - 12*x + 9. Let q be y(11). Let v(b) = -5*b - 1. Let a be v(q). Let n = 158 - 95. Calculate the greatest common factor of n and a.
9
Suppose 0 = 5*l + 156 + 164. Suppose 2*s = -5*d + 2*d - 3, 2*s = -5*d - 9. Let w be (s/(-2))/(12/l). Calculate the greatest common factor of w and 32.
8
Let s(j) = j**3 + 28*j**2 + 26. Let d be s(-28). What is the highest common factor of d and 39?
13
Suppose 0 = -4*u + u + 318. Suppose -7*f + 20 = -3*f, 4*f = 3*c - u. What is the highest common divisor of 14 and c?
14
Let k be ((-13)/(-2))/(3/6). Let l = k - -20. Suppose -2*f + 4*f - 44 = 0. Calculate the highest common divisor of f and l.
11
Let c(n) = 2*n - 1. Let k be c(2). Suppose 16 = 7*a - k*a. Suppose 4 = 3*v + 4*y, 2*v - 3*y - 15 - 16 = 0. What is the highest common divisor of v and a?
4
Let b(z) = z**2 + 2*z. Let v be b(-2). Let m(y) = y**3 + y**2 + y + 10. Let d be m(v). Calculate the highest common factor of 1 and d.
1
Suppose -2*u = -x - 6 - 9, -4*x = 4*u - 24. Let h = -46 + 95. What is the highest common factor of u and h?
7
Let v
|
{
"pile_set_name": "DM Mathematics"
}
|
alue in 5/33, 1, -1681.04?
5/33
What is the third smallest value in -26, 2/5, -6/7483, -5, 2/3, 3?
-6/7483
Which is the fourth biggest value? (a) -32 (b) 1 (c) -0.811 (d) -3 (e) -11
e
What is the fifth smallest value in -2, 0.2, -24, -0.2, -0.5, -351320, -2/3?
-0.5
What is the fifth biggest value in 3274, -2, 0.2, -2/49, -27/5, 0.3?
-2
Which is the third smallest value? (a) 105 (b) -108 (c) -4 (d) -33
c
What is the third biggest value in -3, -8, -0.07, 2/29, 1/3, 3, 143?
1/3
Which is the fourth biggest value? (a) 1/1965 (b) -3/11 (c) -4/7 (d) 0 (e) -0.3 (f) 260
b
Which is the third smallest value? (a) 0.8125 (b) -1/4 (c) -3/2 (d) 5/3
a
Which is the second smallest value? (a) -1.1 (b) 5 (c) 1/6 (d) -4/7 (e) 18/11 (f) 1/1288
d
Which is the fifth smallest value? (a) -13 (b) -93/2 (c) 152 (d) -2/17 (e) -2
c
What is the fifth smallest value in -0.015, 4/691, 0, -0.1, -0.4, 1?
4/691
What is the fourth smallest value in 0.3, 1/2, -4, 2896, 90, 2, 1?
1
Which is the fourth biggest value? (a) -37 (b) -12 (c) 1.6 (d) 0.6 (e) 0.02
b
Which is the fourth smallest value? (a) -2/37 (b) 14 (c) 2/3 (d) -158 (e) 0.4 (f) 1
c
Which is the second smallest value? (a) 0 (b) -0.289 (c) -1.1 (d) -154
c
Which is the biggest value? (a) 0 (b) 8633 (c) 6.5 (d) 5 (e) -2
b
What is the sixth smallest value in 2.174, 5, -0.4, 0.4, -1, 2, -0.3?
2.174
What is the sixth smallest value in -1, 0.22, -2/5, -1/3, -0.8, -0.2, -34?
-0.2
What is the biggest value in 0.3, -0.3, 20, -3, 4, 39/206?
20
Which is the smallest value? (a) 2/11 (b) -5/326 (c) 302
b
Which is the smallest value? (a) 3 (b) -3/22 (c) 2.785 (d) 2/17
b
Which is the second biggest value? (a) -2/13 (b) -3/5 (c) -0.033 (d) 6/11 (e) -5 (f) -1/429 (g) -2
f
What is the fourth biggest value in -196827, 5, -4/7, -5, -0.5?
-5
What is the third biggest value in 12.787, -0.4, -0.01, -10?
-0.4
Which is the sixth smallest value? (a) 3 (b) 1/6 (c) 114 (d) 1 (e) 15405/8 (f) 0.1
e
Which is the fourth biggest value? (a) -5 (b) 3/7 (c) 0.02 (d) -943 (e) 174
a
Which is the biggest value? (a) 19.6934 (b) 0.2 (c) -5
a
What is the fourth smallest value in 9, 30, -4/7, -20, -2, -2/21?
-2/21
Which is the biggest value? (a) -3 (b) -3/740 (c) -2/7 (d) 4 (e) 0.016 (f) 7
f
Which is the sixth biggest value? (a) 310 (b) 5 (c) 0.5 (d) 0.664 (e) 0.4 (f) -1 (g) -6
f
Which is the fifth smallest value? (a) -2 (b) 3 (c) -4 (d) 67 (e) -4/5 (f) -5452 (g) -2/7
g
Which is the biggest value? (a) 0.22 (b) 0.16 (c) -0.05 (d) -2/13 (e) -6 (f) 40
f
What is the second biggest value in 25/7, 2, 2/3, 8/437?
2
Which is the smallest value? (a) -2 (b) 1/516 (c) 3 (d) -3 (e) -4 (f) 8 (g) 0.25
e
What is the fourth biggest value in -0.01, -1, 6, 3/7, 0.03, 61/3, 8?
3/7
Which is the third smallest value? (a) -260 (b) -12.361 (c) 1 (d) -1/7
d
What is the fifth smallest value in 2, -0.3, 24/163, -2/23, 11?
11
What is the third biggest value in -2, -20, -3/19, 0.5, 1/5, 15?
1/5
What is the third biggest value in 53, 0.2387, 4, -5, -0.2?
0.2387
What is the fourth biggest value in 53, -1, -738, 13, 1/9, 0.5, 1/5?
1/5
Which is the smallest value? (a) -0.24 (b) 104 (c) -22267
c
What is the fourth smallest value in 4.5, -104/11, -3/2, 0.1?
4.5
What is the third biggest value in 1/3, 3, 74, 1289?
3
Which is the biggest value? (a) -0.2 (b) -5 (c) -314729 (d) 8
d
What is the third biggest value in -104, -4.398, 169?
-104
What is the second biggest value in 2/11, 246, 265627, -1?
246
Which is the second smallest value? (a) 36 (b) 1/41 (c) 0.0246
c
What is the third biggest value in -3, 1, -1, -4.96, 44.579?
-1
Which is the seventh smallest value? (a) 5 (b) 1/914 (c) -2/5 (d) 32/5 (e) 2 (f) -0.7 (g) -0.3
d
Which is the second biggest value? (a) 353/8 (b) -4 (c) 1/2 (d) 1.03
d
Which is the third biggest value? (a) 5 (b) 0 (c) 76 (d) 7 (e) 0.334
a
What is the third biggest value in -128, 15/4, -0.6, 1237?
-0.6
What is the fourth smallest value in -3, -0.114, 0.5, 0, -0.244, -6/13?
-0.114
What is the smallest value in 2/5, 301, 61.7?
2/5
What is the second smallest value in -0.05, -0.4, -4, 3, 351, -3/2?
-3/2
Which is the fifth biggest value? (a) 1/8 (b) 126/19 (c) 5 (d) 1/9 (e) 0.3 (f) -1/3 (g) -0.2
d
What is the third biggest value in -53742, 0.03, 53?
-53742
Which is the biggest value? (a) 23 (b) 90.8582 (c) -2/21
b
What is the smallest value in -14124, 5/2, -4/9, 4?
-14124
What is the biggest value in 4/7, 9/11, 90593.1?
90593.1
Which is the biggest value? (a) -293 (b) -28 (c) -0.27 (d) 5/2 (e) 1/3 (f) 6/13
d
What is the third smallest value in 1/4, 3, -5.66, -16/11, 1, -16, -0.4?
-16/11
Which is the third biggest value? (a) -29 (b) -2/63 (c) -60125
c
What is the fifth biggest value in 31, 0, 153, 16, -2?
-2
What is the second biggest value in -2, 106.6, -2/3, -5, 0.3, -277?
0.3
What is the smallest value in -134, -17, -0.5, -7.5, 2/5, 0.1, -3?
-134
Which is the sixth smallest value? (a) -0.03 (b) 2/11 (c) -0.5 (d) 0.04 (e) 0 (f) 3 (g) -253
b
Which is the second smallest value? (a) -5 (b) -2/1157 (c) 0
b
What is the second biggest value in -1/2, -9503619, 0?
-1/2
Which is the second biggest value? (a) -2/7 (b) -4 (c) -2002 (d) -2287
b
What is the fourth biggest value in -1/3, 0, -1612, 209?
-1612
Which is the fifth smallest value? (a) -9 (b) 2/9 (c) 5 (d) -0.2 (e) -29 (f) -3 (g) 4/19
g
Which is the seventh smallest value? (a) 4/11 (b) -1768 (c) -3/2 (d) 4 (e) 1 (f) 0.08 (g) 0.4
d
What is the second biggest value in -0.352, -97.528, -3/7, 4?
-0.352
What is the fifth biggest value in -0.3, 3/5, 10.7782, 1/10, -3?
-3
What is the second smallest value in 2/433, 2/5, 5, 2/13, -1/2, 2?
2/433
What is the biggest value in 0.5, -170, -1440, 3?
3
Which is the third biggest value? (a) -1/4 (b) 0.03 (c) -2 (d) 131 (e) -4 (f) 0.245
b
What is the third smallest value in -3, -2/11, -4/7, 939, 0.5, 16656?
-2/11
What is the biggest value in 756, -18, -2/9, -1.6, 1.6?
756
What is the sixth smallest value in 0.3, -0.044, 1/5, 4/9, 1141, -4/3?
1141
What is the second biggest value in 13, -10.3, 18424?
13
What is the fourth biggest value in 2, 2/19, -0.11, -1, 2/61, -38?
-0.11
Which is the biggest value? (a) 6/7 (b) -29543 (c) -1.3 (d) 1/7 (e) 1/2
a
Which is the third biggest value? (a) -1 (b) -0.503 (c) 3 (d) -2 (e) 13
b
What is the fifth smallest value in -0.6771, -0.02, -2/9, 1/9, -28?
1/9
What is the second smallest value in 1752, -1/3, 4688?
1752
What is the biggest value in 1, 3, -2218, 36064?
36064
Which is the second biggest value? (a) -3/10 (b) 294.6 (c) -0.2 (d) 1.24
d
What is the fourth smallest value in -1, -0.1, 0.4, 0.6197, 0.5, 1/4, -5?
1/4
Which is the biggest value? (a) -2302 (b) 4115 (c) -5
b
Which is the biggest value? (a) 3/7 (b) 1.5 (c) -600 (d) 156
d
Which is the second biggest value? (a) -9/2 (b) 203 (c) 2 (d) 0.1 (e) 0.03
c
Which is the fifth biggest value? (a) 0.4 (b) -0.04 (c) -15/28766 (d) -4 (e) -1/10
d
What is the sixth smallest value in -62, -1/6, -2/39, -2, -5, -126?
-2/39
What is the sixth smallest value in 2.6, -3, 2, 0.2, -1117, -40?
2.6
Which is the biggest value? (a) 19 (b) -106/5 (c) 0 (d) -298
a
Which is the third biggest value? (a) -4 (b) 90588/65 (c) -44/5
c
Which is the fourth biggest value? (a) -0.001538 (b) 3 (c) 49 (d) 4
a
What is the smallest value in 10/81, 349, -0.595?
-0.595
Which is the seventh biggest value? (a) 5 (b) 1 (c) 6 (d) 1/3 (e) 2/2183 (f) 2/3 (g) 87
e
Which is the seventh smallest value? (a) 4 (b) 9/4 (c) 0.3 (d) -2/19 (e) 9 (f) 0.52 (g) -1
e
Which is the biggest value? (a) -16 (b) 1/4 (c) 24124
c
Which is the fifth smallest value? (a) -2.3 (b) -4 (c) -1/2 (d) 395 (e) 5 (f) 77 (g) 1/4
e
Which is the third biggest value? (a) 5584 (b) -6/7 (c) 0.2
b
What is the fourth biggest value in -2, -0.1, 3/12683, 0.2, -0.5, 2/3?
-0.1
What is the smallest value in -0.4, 2/11, -3, -1195126?
-1195126
Which is the third biggest value? (a) 27.61874 (b) 14 (c) -0.2 (d) 3
d
Which is the second biggest value? (a) 1/4 (b) -9.7 (c) -2 (d) 3 (e) 4.6 (f) 1
d
What is the third smallest value in -1
|
{
"pile_set_name": "DM Mathematics"
}
|
446
What is 1615 divided by -4?
-1615/4
Calculate -5227656 divided by -6.
871276
-1254748 divided by 1
-1254748
-2556 divided by -12
213
Calculate 44612 divided by -38.
-1174
What is -234 divided by 6941?
-234/6941
Calculate -1 divided by -32920.
1/32920
-347 divided by 155
-347/155
192136 divided by 28
6862
Calculate 119112 divided by 4.
29778
Calculate 220384 divided by 776.
284
Divide 3 by -6244.
-3/6244
Calculate -96 divided by -5039.
96/5039
2437 divided by 12
2437/12
What is 37728 divided by 9432?
4
1 divided by 1029923
1/1029923
What is 11 divided by -12532?
-11/12532
What is -3 divided by 9515?
-3/9515
Calculate 4 divided by -577003.
-4/577003
Divide -1826 by 83.
-22
Divide 267504 by 5573.
48
What is 231254 divided by -2?
-115627
46 divided by -603
-46/603
Calculate -3 divided by 23526.
-1/7842
Calculate -663232 divided by -64.
10363
Calculate -3242568 divided by -14.
231612
What is -1263 divided by 2?
-1263/2
Divide 71856 by 5988.
12
-114044 divided by 10
-57022/5
Divide 1693026 by 188114.
9
Divide 3 by 10622.
3/10622
Calculate -21391 divided by 21.
-21391/21
Divide 79700 by 39.
79700/39
Divide -1494501 by 3.
-498167
29359 divided by 1
29359
-80620 divided by -58
1390
Calculate 4 divided by 226672.
1/56668
What is 2218 divided by 1109?
2
Divide -1150 by -177.
1150/177
Divide -186562 by -5.
186562/5
Calculate -20556 divided by -5139.
4
Calculate -67197 divided by -5169.
13
What is 308830 divided by -694?
-445
Divide -710860 by -710860.
1
22230 divided by 190
117
What is -90 divided by -2?
45
What is 121574 divided by 4?
60787/2
Calculate -7919 divided by 99.
-7919/99
What is -1604 divided by -2?
802
What is 8932 divided by -2233?
-4
Divide 2 by 19438.
1/9719
Calculate -2914 divided by 58.
-1457/29
What is 8274 divided by -52?
-4137/26
-4881 divided by 3
-1627
93125 divided by -18625
-5
-16 divided by 3893
-16/3893
Divide -124716 by 3.
-41572
Divide 1351806 by 6.
225301
Divide -14574 by -7287.
2
Divide 1139920 by -4.
-284980
4044079 divided by 221
18299
Calculate -28770 divided by 21.
-1370
Calculate -19932 divided by 63.
-6644/21
Calculate 418479 divided by -3.
-139493
What is 464211 divided by 154737?
3
What is 104 divided by -374?
-52/187
Divide 197504 by 24688.
8
34120 divided by -20
-1706
What is -67272 divided by -16818?
4
Divide 18406 by -6.
-9203/3
Calculate 928012 divided by -232003.
-4
0 divided by 1018
0
What is -142260 divided by 35565?
-4
Calculate -236572 divided by -1.
236572
What is -432626 divided by -1?
432626
Divide 199260 by 2214.
90
Calculate 11 divided by 4638.
11/4638
-1397764 divided by 349441
-4
-4 divided by 18039
-4/18039
-19074 divided by 6
-3179
What is 458384 divided by 8?
57298
Divide 133263 by -117.
-1139
Calculate 7 divided by -719252.
-7/719252
Divide -28 by -43032.
7/10758
What is -8410 divided by -10?
841
Calculate 2322 divided by -1.
-2322
-1 divided by 403987
-1/403987
Divide -126378 by -118.
1071
1725210 divided by -6
-287535
Divide -371630 by 37163.
-10
3 divided by -24197
-3/24197
-116 divided by 786
-58/393
Divide 8624 by 4.
2156
Divide 14912 by -8.
-1864
Calculate 257154 divided by 1.
257154
62628 divided by -8
-15657/2
70110 divided by 19
3690
What is 5 divided by -1484670?
-1/296934
What is -235 divided by 14?
-235/14
-181194 divided by -299
606
Calculate 5948 divided by -19.
-5948/19
-174820 divided by -34964
5
Calculate 1627770 divided by -30.
-54259
Divide -91813 by 5.
-91813/5
0 divided by 3111
0
Calculate 0 divided by -170.
0
Calculate 133 divided by -7643.
-133/7643
124 divided by -701
-124/701
What is 103929 divided by -21?
-4949
Calculate 15 divided by 87073.
15/87073
Divide -3 by -37012.
3/37012
4 divided by 685899
4/685899
133887 divided by 44629
3
Divide 0 by -11314.
0
Calculate -1318410 divided by 4883.
-270
-7338 divided by -617
7338/617
-23692065 divided by 3
-7897355
What is -602 divided by 260?
-301/130
-986 divided by -198
493/99
599540 divided by 9670
62
Divide -2605 by -43.
2605/43
Calculate 113130 divided by -18855.
-6
What is -61249 divided by 1?
-61249
What is 962 divided by -9?
-962/9
Calculate -4 divided by 273586.
-2/136793
Calculate -5 divided by -263748.
5/263748
Calculate 1292460 divided by 107705.
12
Divide -379518 by -13.
379518/13
Divide 5 by -1428.
-5/1428
What is -3659 divided by -53?
3659/53
What is 13728 divided by -39?
-352
-9 divided by -678
3/226
What is 3294 divided by -54?
-61
What is 21534 divided by 3?
7178
465840 divided by -5823
-80
44942 divided by -23
-1954
Calculate 6927 divided by -457.
-6927/457
Divide 8024 by 68.
118
656825 divided by 131365
5
-24 divided by -1839
8/613
1316 divided by 2
658
Calculate 31 divided by -3083.
-31/3083
4592 divided by 656
7
Divide 22533 by 5.
22533/5
Calculate 4 divided by -839.
-4/839
1564595 divided by -19805
-79
Calculate 1220791 divided by -8537.
-143
Divide -379880 by -5.
75976
Calculate -6496 divided by 116.
-56
What is 13437 divided by -3?
-4479
What is -9982 divided by -246?
4991/123
-1 divided by -750
1/750
What is -656 divided by 37?
-656/37
Divide -914 by 35.
-914/35
What is 773070 divided by 365?
2118
-239235 divided by 4
-239235/4
Calculate -8562500 divided by 12500.
-685
What is -2 divided by -52948?
1/26474
3 divided by 6501
1/2167
Divide 119 by -78.
-119/78
What is 1604 divided by -1192?
-401/298
-22770 divided by -345
66
Divide -5 by 1911.
-5/1911
Calculate 88257 divided by 13.
6789
Calculate 2 divided by 48170.
1/24085
3 divided by 56093
3/56093
0 divided by 256713
0
15335 divided by 3067
5
Divide -113520 by 8.
-14190
Calculate -1000248 divided by -852.
1174
Calculate 5828 divided by 6.
2914/3
422080 divided by 6595
64
Calculate -7997 divided by 230.
-7997/230
Calculate -363948 divided by 26.
-13998
Divide -319739 by 3.
-319739/3
Calculate 30593 divided by 2.
30593/2
What is -4 divided by 3969?
-4/3969
Calculate -311499 divided by -3753.
83
77 divided by -36
-77/36
What is -15456 divided by -12?
1288
Calculate 39 divided by -12.
-13/4
What is 28432 divided by 5?
28432/5
What is 32430 divided by -94?
-345
Divide -3213 by 3.
-1071
Calculate -1 divided by 58395.
-1/58395
What is 438460 divided by -44?
-9965
What is -214272 divided by 108?
-1984
Calculate 719505 divided by -1355.
-531
What is -453 divided by 1?
-453
Calculate -282200 divided by -10.
28220
What is 169008 divided by 8048?
21
What is -1337724 divided by -222954?
6
Divide -7433080 by 34.
-218620
Divide 76704 by -799.
-96
Calculate 17568 divided by -96.
-183
What is 201921 divided by 67307?
3
1 divided by -211340
-1/211340
Divide 318 by -205.
-318/205
4396 divided by -28
-157
Calculate 3 divided by 138320.
3/138320
What is -86034 divided by 15?
-28678/5
-53835 divided by 111
-485
Divide -185658 by 16878.
-11
Divide -525728 by -8.
65716
Calculate 12567 divided by 71.
177
What is 1440 divided by 60?
24
Divide -43 by -88.
43/88
Divide -23 by 2241.
-23/2241
Calculate -114240 divided by 16.
-7140
What is -4 divided by -7011?
4/7011
What is -146814 divided by -1?
146814
-266824 divided by 66706
-4
What is 35 divided by 986?
35/986
Calculate -303930 divided by -5.
60786
Calculate -11 divided by -8996.
11/8996
What is -400 divided by 32?
-25/2
What is 47008 divided by 4?
11752
-13636 divided by 2
-6818
Calculate 1104 divided by -4356.
-92/363
Calculate 1364670 divided by 118.
11565
-26570 divided by 5314
-5
-2540248 divided by -635062
4
Calculate -4 divided by -1385.
4/1385
What is -4 divided by 51367?
-4/51367
Divide 261 by 219.
87/73
What is 146616 divided by 6?
24436
What is 25330 divided by 17?
1490
Calculate 0 divided by 39340.
0
1305 divided by 609
15/7
Divide -461360 by -632.
730
What is 0 divided by -32894?
0
What is -3 divided by -3915?
1/1305
-47930 divided by 5
-9586
-28405 divided by -437
65
Divide -103265 by 1.
-103265
5201 divided by -74
-5201/74
What is -9911910 divided by 145?
-68358
Divide -3320 by 15.
-664/3
Divide 30954 by 6.
5159
What is 8378 divided by 18?
4189/9
391215 divided by 2371
165
Divide -3 by -28819.
3/28819
Divide -972 by -95.
972/95
195 divided by 405
13/27
What is -934529 divided by 2?
-934529/2
What is 4 divided by -651480?
-1/162870
Divide -8861 by 28.
-8861/28
Calculate 83232 divided by 4.
20808
Calculate -1039 divided by 59.
-1039/59
Calculate -49 divided by -21172.
49/21172
Calculate -3 divided by 123119
|
{
"pile_set_name": "DM Mathematics"
}
|
ve -5*k - 4*h = 7, -37*k + 32*k + 2 = h for k.
1
Solve 5 = -3*o + 4*z + z, o + z - 9 = 0 for o.
5
Solve -220*j + 218*j + u = 7, -j - 2*u - 11 = 0 for j.
-5
Solve c = -5*r - 15, -8*c = -4*c - r + 18 for c.
-5
Solve -3*s + 5 = -a, 34*s = -5*a + 39*s - 25 for a.
-5
Solve 3*j - 7*j - 2*t = 10, -2*j - 5*t = -7 for j.
-4
Solve -b - 3*s - 1 = -4, s = b + 1 for b.
0
Solve -2*a - 21 = -5*f, 3*f + 3 - 22 = -2*a for f.
5
Solve -o = 4, -7*o - 72 = -5*w - 24 for w.
4
Solve -6*o + 3*o - 8 = 4*j, -4*o - 11 = 5*j for j.
1
Solve m - 2*r - 16 = 3*r, 16 = -3*m - r for m.
-4
Solve 2*y = 5*i - 5, -5 = -3*y - 2*i - 3 for y.
0
Solve -3*y + 5*y - d = 6, 0 = y + 3*d - 3 for y.
3
Solve 5*j + 14 = 10*j - 3*a, 3*j - 3*a - 6 = 0 for j.
4
Solve 5*a + 1 = -2*g + 5, 4*a + 2*g = 4 for a.
0
Solve r - 3*n = -10, 4*r + n + 39 - 25 = 0 for r.
-4
Solve 3*r + 76*u = 74*u - 7, -5*u - 5 = -5*r for r.
-1
Solve g + g = -3*x + 20, 0 = 2*x - 8 for g.
4
Solve -2*m - 2*h - 2*h - 6 = 0, 5*m = h + 29 for m.
5
Solve 0 = j - 4, -4 = -k - 2*j + 6 for k.
2
Solve 2*w - 1 = 4*a - 5, 4*w = -3*a - 8 for w.
-2
Solve -3*m - 5*a = 33 - 11, 0 = -2*m - 2*a - 8 for m.
1
Solve 29*a = 23*a + 2*p + 10, -5*p + 32 = 4*a for a.
3
Solve 4*d - 7 = 3*q, -2*q + 5*q = -4*d + 25 for d.
4
Solve -b = -4*u + 2 + 1, -5*b + 2 = -3*u for u.
1
Solve -5*o + 8 = -2*m + 2, -m + 3*o - 4 = 0 for m.
2
Solve -2*t + 4*t - 2*i - 12 = 0, -2*i - 13 = -3*t for t.
1
Solve -a = -2*t + 4, 2 = 4*a - 51*t + 52*t for a.
0
Solve -28 = 4*b - 6*f, -b + 13 = -3*f + 26 for b.
-1
Solve -2*x = 4*d + 16, 3*x = 9*d - 11*d - 4 for x.
2
Solve -5*h - 8 = -2*b, -2*b - 5*h - 10 - 2 = 0 for b.
-1
Solve -11 = c + 2*v, 3*c + 5*v - 10*v = 11 for c.
-3
Solve -25 = -5*q, 4*f - 3*q - 174 + 201 = 0 for f.
-3
Solve 5*k = 0, 0 = 3*t + k - 7 + 1 for t.
2
Solve 5*v + 10 = 5*g, 2*g = 6*v - v + 1 for v.
1
Solve 17 = -u + 5*h, -3*u + h - 5*h + 25 = 0 for u.
3
Solve 0 = 2*r - g, 0*g + 12 = 2*r + 5*g for r.
1
Solve 0*u = 4*h - u + 1, -4*u = 5*h + 17 for h.
-1
Solve v + v + 5*m = 17, -2*v - 10 = -4*m for v.
1
Solve 4*s = 6*s - 2*q, 5 = 5*q for s.
1
Solve 10*x = 14*x, -q - 2 = -4*x - 0*x for q.
-2
Solve 1 - 6 = 5*p, 3*n - p = 1 for n.
0
Solve 3*o + 6 = -2*z, 4*z - 17*o = -12*o + 32 for z.
3
Solve -6*j + 2*q = -3*j + 13, -4*j - 18 = -3*q for j.
-3
Solve 12 = -5*q + 3*k + 31, 2*q + k - 1 = 0 for q.
2
Solve 0*d - 14 = -3*d - n, 3*d = -2*n + 13 for d.
5
Solve -3*j = -3*b - 14 - 4, -5*b + j = 14 for b.
-2
Solve 3*k + 3*w = -6, 3*k - 2*w = 2*w + 8 for k.
0
Solve 5*p - 3*l = -13, -9*p + 5*p = -l + 16 for p.
-5
Solve -4*x + 4*g = 0, 4*g = 3*x - 2*x - 3 for x.
-1
Solve -2*t + 3*i + 10 = 0, 5*i + 16 = t - 3 for t.
-1
Solve -10*k + 6*k + 4 = 2*o, -5*k + 5*o = -35 for k.
3
Solve -2*y + 2*z + 6 = -2, 5*y - 3*z - 18 = 0 for y.
3
Solve 5*a + 20 = -2*b + 7*b, -4*a + 2*b - 6 = 0 for a.
1
Solve 2*a + 18 = -17*j + 19*j, 5*a - 3*j + 37 = 0 for a.
-5
Solve -3*m - 10 = -5*j + 3*j, 2*m = -5*j - 13 for j.
-1
Solve y + 2*s = -3, 4*y - 7*y - s - 4 = 0 for y.
-1
Solve j = -5*x - j - 33, -2*x + 3*j = -2 for x.
-5
Solve f + 24 = -5*i, -15*i + 11*i - 3*f = 17 for i.
-5
Solve -10 = -2*x - 4*m, -3*x + 4*m + 2 = 37 for x.
-5
Solve 0 = 4*n + 2*f - 6, n + 1 = 9*f - 7*f for n.
1
Solve -27 = -3*t + 3*u, 2*u - 10 + 3 = -3*t for t.
5
Solve 0*q - q + l = 0, q = -3*l - 16 for q.
-4
Solve 3*p - 5*s = -10*s + 23, -4*s + 16 = 0 for p.
1
Solve 2*y + 7*t - 4 = 5*t, -3*y + 4*t = 29 for y.
-3
Solve 2*w = -5*d + 8 + 3, -d + 16 = 5*w for w.
3
Solve 0 = 4*i - 4*t + 16, -7*t = -5*i - 5*t - 8 for i.
0
Solve 8*o + c + 1 = 7*o, 5*o - 3*c = 3 for o.
0
Solve 2*i = -4*u + 22, 3*u = -17*i + 13*i + 24 for i.
3
Solve 3 = n, -6*o + 4*o + 3*n = 13 for o.
-2
Solve 31*i - o = 29*i, 5*i + 9 = -2*o for i.
-1
Solve 8 = -w + 2*a, 38 = -3*w - 3*a + 32 for w.
-4
Solve 5*h - 5 = -4*r, -1 + 6 = r for h.
-3
Solve 59 = 4*s + 47, -3*s + 12 = 3*j for j.
1
Solve 0 = -b - 3, -4 = 2*c + 5*b + 5 for c.
3
Solve 24 = 4*j - 4*s, -6 = -5*j - 5*s + 4 for j.
4
Solve -4*w - 26 = -3*c, 2 = -5*w - 4*c - 15 for w.
-5
Solve -u = 4*y - 5, -4*y = -2*y - 2*u for y.
1
Solve 8*o + 4*w = 3*o + 22, -4*o - 4*w + 20 = 0 for o.
2
Solve -5*r - 30 = 4*v, 5*v + 4 = 3*r - 15 for v.
-5
Solve -2*n + 5*z + 0 + 3 = 0, 2*n = -z + 9 for n.
4
Solve -4*y + 3*p = 6*p - 18, -y = -p - 1 for y.
3
Solve -5*q = 5*m + 20, 3*q - 3*m = -q - 9 for q.
-3
Solve -1 - 3 = 4*k + w, -3*w + 10 = k for k.
-2
Solve 0 = y - 4*r + 2*r + 1, 12 = 4*r for y.
5
Solve 0 = 5*z + 2*f - 4, -3*f = 2*z - 3 + 8 for z.
2
Solve 0 = -2*z - 5*r - 31, 0 = 2*z - 5*r + 3 - 22 for z.
-3
Solve 2*k = -2*t + 12, k + 47 = 2*t + 38 for t.
5
Solve 5*p - 2*h - 14 = 16, -3*p + 2 = 2*h for p.
4
Solve -5*m = 3*v, 0*v = -v + m for v.
0
Solve -5*u + 5*b + 35 = 0, 6*b - 3 = -u + 5*b for u.
5
Solve 0*h + 7 = -4*h - v, 3*v - 15 = 0 for h.
-3
Solve 5*i = 0, 4*l = -l + 3*i + 20 for l.
4
Solve 3*g + 9*x = 7*x + 12, -5*g + x + 20 = 0 for g.
4
Solve 0 = 2*p + p + 5*n, 13 = 5*p + 4*n for p.
5
Solve -5*k - 2 = -v, -4*v + 8 = 151*k - 153*k for v.
2
Solve 5*m = 3*m - 5*c - 16, 7 = -5*m + 4*c for m.
-3
Solve -5*n + y = 22, 4*n - 4*y = -0*y - 8 for n.
-5
Solve -t - 3*i + 1271 - 1259 = 0, 17 = -4*t + i for t.
-3
Solve 9*q - 4*g + 5 = 8*q, -q + 3*g = 4 for q.
-1
Solve -2*f = 5*y - 5*f - 22, 3*y + 3*f + 6 = 0 for y.
2
Solve 8 = -2*l, o + l = 1 - 0 for o.
5
Solve -k + 15 = -5*c, 4*c + 11*k - 14*k + 12 = 0 for c.
-3
Solve -5*n + 5*m + 25 = 0, 14*n - 11*n + 6*m = 15 for n.
5
Solve -l + 29 = 5*c, -4*l - 25*c = -20*c - 41 for l.
4
Solve -4*b - 28 = 4*x, 0*b = 4*x + b + 19 for x.
-4
Solve -3*a - 4 = -2*p + 2, -5*a = 5*p + 35 for p.
-3
Solve 0 = -l + 2*p - 5, -3*p - 16 = -4*l - 7*p for l.
1
Solve -5*z - 5 = -5*n, 21*n = -z + 17*n - 11 for z.
-3
Solve 0 = 2*v - p + 13, 4*v - p = 3*p - 32 for v.
-5
Solve -5*u - 6 = -2*x - 4, -x = u - 1 for x.
1
Solve 2*s - 2*g - 103 + 105 = 0, 14 = -2*s - 2*g for s.
-4
Solve g - 6*x + 13 = -3*x, 18 = 2*g + 5*x for g.
-1
Solve f = 0, 5*q - f - 15 = 4*f for q.
3
Solve -5*r + r + 21 = -3*b, -r = -2*b - 9 for b.
-3
Solve -2*q + 4 = 10, -4*f = -q - 23 for f.
5
Solve -y - 22*f + 23*f = 0, 9 = 3*f for y.
3
Solve 0 = -i - 4*l + 11, 0 = 3*i - l + 12 + 7 for i.
-5
Solve 5*c - 5*y - 7 = 8, 0 = -y - 1 for c.
2
Solve 4*k - 8*h + 5*h = -13, -5*k = h + 21 for k.
-4
Solve h - 5*h = 5*z - 21, 0 = -5*h + 2*z + 18 for h.
4
Solve -81*t + 2*p + 24 = -77*t, 0 = 5*t + 5*p - 15 for t.
5
Solve -4*u - 7 = g + 5, -g - 9 = 3*u for u.
-3
Solve -2 = p, 0 = -2*q - 3*p + 12 - 6 for q.
6
Solve -o + j = o - 5, -o + 2*j - 2 = 0 for o.
4
Solve 3*m - 5*m = -5*w + 6, -3*w - 4 = -5*m for w.
2
Solve -5*q - 12 = -2*s, 29*s - 33*s = -q + 12 for s.
-4
Solve -o = -2*y - 4*o - 1, 15 = 3*y - o for y.
4
Solve -3*f + 4*o = -21, -7*f - 5*o = -6*f + 12 for f.
3
Solve 3*k - 1 = 6*d - 4*d, -3*k - 3*d = -21 for k.
3
Solve 0 = 5*y - 2*z + 4, -y + 44*z = 46*z + 8 for y.
-2
Solve 5*b - 11 = 35*t - 31*t, -3*t - b = -6 for t.
1
Solve 0 = -b - 4*z - 17, b - 12 = 5*b + 2*z for b.
-1
Solve -22*x + 24*x + 2*u = -18, 0 = u + 4 for x.
-5
Solve -4*s - 16 = 2*d, 18*s - 19*s - 4*d + 3 = 0 for s.
-5
Solve -4*t + v = -6*t, 0 = -3*t + v for t.
0
Solve 0 = 7*x - 6*x + 2*n - 2, 0 = 4*n for x.
2
Solve 5*f = -3*z - 9, -4*z = -3*f - 50 + 33 for f.
-3
Solve 2*t = -4*m + 8, 2*t - 3*m = 2*m - 19 for t.
-2
Solve 2*k + 4*o - 8 = 0, -3*k + 10 = -2*k + 5*o for k.
0
Solve -4 = 2*f - 4*f, -2*h + 4 = -f for h.
3
Solve -3*h + 9*m - 4*m = 5, -13 = h + 4*m for h.
-5
Solve 0 = -3*l + 4*n + 35, 0*n + 5*n = -3*l - 10 for l.
5
Solve -2*j = 2*z + 4, -j + 5 = -z + 1 for j.
1
Solve -4*r + 9 + 7 = 4*f, -4*f + 17 = 5*r for f.
3
Solve 0 = -2*c + 2*v - 2, 0 = 3*c - 3*v - v + 8 for c.
4
Solve 0 = 3*l - 6, -6 = 2*h + 2*l - 4 for h.
-3
Solve -2*l = 5*v - v + 10, -5*v = 4*l + 5 for l.
5
Solve m + 24 = -5*c - 3*m, 0 = -4*m - 4 for c.
-4
Solve -4*y = -3*d - 4, 0 = -5*y - 5*d + 45 - 40 for y.
1
Solve 15 = x + 3*g, -10*x - 2 = -8*x - 2*g for x.
3
Solve -4*i = -2*i - 4*p + 10, -i - 2*p + 15 = 0 for i.
5
Solve 4*j = -3*u - 19, 0 = -u - 2 + 1 for j.
-4
Solve 9 = 3*t, -m - 624*t + 622*t + 9 = 0 for m.
3
Solve t + 4 = -y, 2 = 4*y - 3*t + 11 for y.
-3
Solve 4*t = 5*m - 37, -5*t = -4*m + 47 - 12 for t.
-3
Solve -6*j = -j - 5*g - 5, -3*g = -2*j + 4 for j.
-1
Solve m + 19 = -5*q, -4*q + m + 21 = 38 for q.
-4
Solve 2*s + f = 3 - 11, 3*s =
|
{
"pile_set_name": "DM Mathematics"
}
|
actor of 1241920484?
True
Does 99 divide 36229784?
False
Does 75 divide 726870525?
True
Does 76 divide 100070972?
False
Is 88521238 a multiple of 607?
True
Does 2399 divide 29452523?
True
Is 641951576 a multiple of 871?
False
Is 77029320 a multiple of 2840?
True
Is 18893942 a multiple of 35?
False
Is 1928372400 a multiple of 141?
True
Is 173442500 a multiple of 1190?
True
Does 3220 divide 493775409?
False
Is 6 a factor of 6995580?
True
Does 5 divide 675387055?
True
Is 256564 a multiple of 1597?
False
Is 739231 a multiple of 2?
False
Does 47 divide 3692430820?
False
Is 705096 a multiple of 36?
True
Is 18 a factor of 105003720?
True
Is 288649232 a multiple of 126?
False
Does 376 divide 2849329128?
True
Is 204583425 a multiple of 25?
True
Does 4933 divide 365425475?
False
Is 1495184304 a multiple of 516?
True
Does 275 divide 496883200?
True
Is 724794924 a multiple of 244?
True
Does 2725 divide 93165025?
True
Is 68568912 a multiple of 582?
True
Is 327528887 a multiple of 2688?
False
Is 54933414 a multiple of 26?
False
Is 60 a factor of 30389940?
True
Does 8 divide 5128144?
True
Is 337 a factor of 44515066?
False
Does 103 divide 445000405?
False
Does 57 divide 80725167?
True
Does 133 divide 496749946?
True
Does 226 divide 119209802?
True
Does 700 divide 46620000?
True
Is 896702222 a multiple of 38?
False
Is 5 a factor of 7887411?
False
Is 1608 a factor of 788183712?
True
Is 50 a factor of 762100347?
False
Does 76 divide 2785185528?
True
Is 299354306 a multiple of 13?
False
Does 21 divide 3442677?
True
Is 69139047 a multiple of 1377?
False
Does 6703 divide 803112580?
False
Is 18 a factor of 117849240?
True
Is 9855878 a multiple of 17?
False
Is 7625 a factor of 467368112?
False
Is 5631305 a multiple of 31?
True
Is 23737160 a multiple of 269?
False
Is 873139021 a multiple of 11?
False
Is 88092307 a multiple of 40?
False
Does 191 divide 277726033?
True
Is 16 a factor of 743138?
False
Does 13 divide 2789835319?
False
Is 3107597868 a multiple of 4518?
True
Is 42 a factor of 9268938?
True
Is 633346625 a multiple of 125?
True
Is 206437158 a multiple of 746?
False
Does 1543 divide 103036373?
False
Does 1617 divide 237501028?
False
Does 97 divide 273683366?
True
Is 7128 a factor of 3099681241?
False
Is 57 a factor of 58558722?
True
Is 43 a factor of 124794686?
True
Is 442313497 a multiple of 73?
True
Does 149 divide 6975921468?
False
Is 163432932 a multiple of 156?
True
Does 2277 divide 1113108956?
False
Does 1797 divide 124758222?
False
Is 107310024 a multiple of 47?
True
Is 745 a factor of 236194800?
True
Does 48 divide 282592608?
True
Is 117 a factor of 14874795?
True
Does 84 divide 46612526?
False
Is 1052462958 a multiple of 31?
True
Is 9779 a factor of 1124360083?
True
Does 2481 divide 1628572919?
False
Does 703 divide 211556602?
True
Is 47416834 a multiple of 113?
True
Is 6843 a factor of 1009155043?
False
Is 32 a factor of 599422491?
False
Is 3042 a factor of 514694232?
True
Is 122465729 a multiple of 46?
False
Is 51928327 a multiple of 251?
False
Is 20 a factor of 46289220?
True
Is 272 a factor of 42419010?
False
Does 311 divide 449506338?
True
Does 17 divide 114017464?
False
Is 3668533428 a multiple of 14686?
True
Is 36618812 a multiple of 5?
False
Is 26 a factor of 204119543?
False
Is 1088717912 a multiple of 168?
False
Does 4 divide 38879?
False
Is 38 a factor of 74132119?
False
Is 8232545 a multiple of 6?
False
Does 207 divide 33700014?
True
Is 27585001 a multiple of 15?
False
Does 104 divide 141209432?
True
Does 65 divide 20086237?
False
Is 12307848 a multiple of 1281?
True
Does 17 divide 17455622?
False
Is 67 a factor of 24755191?
False
Is 313104607 a multiple of 11?
False
Is 24 a factor of 1532537952?
True
Is 7219516649 a multiple of 2159?
False
Is 380682161 a multiple of 151?
False
Is 157988467 a multiple of 193?
False
Is 1005052715 a multiple of 409?
False
Does 12 divide 87162163?
False
Is 537837249 a multiple of 43?
True
Is 196603977 a multiple of 159?
True
Is 792 a factor of 23737314?
False
Does 10 divide 1296920?
True
Is 145 a factor of 99391955?
False
Does 91 divide 109397925?
True
Is 108671688 a multiple of 12?
True
Does 847 divide 67022082?
False
Is 59 a factor of 157165439?
True
Is 41 a factor of 2010682886?
True
Is 750771780 a multiple of 30?
True
Is 10 a factor of 108934634?
False
Is 64 a factor of 67252948?
False
Is 2030 a factor of 492780741?
False
Is 145 a factor of 179893670?
True
Does 5489 divide 251626738?
True
Is 117695890 a multiple of 3558?
False
Is 76 a factor of 10860972?
False
Does 7477 divide 626721039?
False
Does 719 divide 87351733?
False
Does 109 divide 6433862?
False
Is 47852640 a multiple of 1881?
True
Is 11603306 a multiple of 22?
True
Is 14591444 a multiple of 1198?
False
Is 16 a factor of 1398184352?
True
Is 133718328 a multiple of 963?
True
Is 71 a factor of 175238224?
True
Does 2883 divide 319251888?
True
Does 313 divide 4110044629?
True
Is 80 a factor of 172900800?
True
Is 83833461 a multiple of 81?
True
Is 3173 a factor of 951354244?
True
Does 420 divide 81213864?
False
Is 2059 a factor of 738377057?
False
Does 224 divide 107722272?
True
Is 20326020 a multiple of 2860?
True
Is 7713476 a multiple of 15?
False
Is 24762926 a multiple of 43?
True
Is 53389953 a multiple of 18?
False
Is 5 a factor of 14767677?
False
Is 236901642 even?
True
Is 98908323 a multiple of 199?
False
Does 417 divide 10403388?
False
Does 187 divide 128189663?
False
Is 163058675 a multiple of 131?
False
Does 2427 divide 42210384?
True
Is 865776360 a multiple of 2281?
True
Is 3 a factor of 20783983?
False
Is 12 a factor of 1970480?
False
Is 21 a factor of 92512959?
True
Does 435 divide 2632273020?
False
Is 40138811 a multiple of 8?
False
Is 2621 a factor of 9066126?
False
Is 98295084 a multiple of 678?
True
Does 570 divide 2112607530?
True
Does 33 divide 485709239?
False
Is 162 a factor of 51817479?
False
Is 10945365 a multiple of 1078?
False
Is 1117 a factor of 170084473?
True
Is 4 a factor of 143208?
True
Is 20 a factor of 2287715080?
True
Is 1552 a factor of 123532664?
False
Is 393597320 a multiple of 113?
False
Does 69 divide 72770022?
True
Does 34 divide 623758812?
False
Does 327 divide 470397338?
False
Is 2691 a factor of 28294489?
False
Does 25 divide 807474800?
True
Is 106461712 a multiple of 931?
True
Does 241 divide 298286857?
False
Does 1670 divide 377560280?
True
Does 1065 divide 15061230?
True
Is 20227760 a multiple of 656?
True
Does 14 divide 607941684?
True
Is 1032 a factor of 38765718?
False
Does 862 divide 3219456261?
False
Is 5410288 a multiple of 104?
True
Is 33726798 a multiple of 33?
False
Is 4100 a factor of 565349000?
True
Does 10 divide 41667151?
False
Does 4 divide 58307364?
True
Does 4428 divide 540871344?
True
Is 467327160 a multiple of 45?
True
Is 29006328 a multiple of 372?
True
Is 181 a factor of 36287785?
True
Is 130559561 a multiple of 64?
False
Does 53 divide 29100607?
False
Is 821614666 a multiple of 1013?
False
Is 32907420 a multiple of 1372?
True
Does 9 divide 518783976?
True
Is 440 a factor of 20408223?
False
Is 23 a factor of 12837071?
False
Is 38 a factor of 13532630?
False
Is 112177548 a multiple of 81?
True
Is 67441653 a multiple of 96?
False
Does 164 divide 901326780?
True
Does 101 divide 814813561?
True
Is 1798 a factor of 62579244?
False
Is 54 a factor of 10677258?
True
Is 1021488709 a multiple of 45?
False
Does 7331 divide 596384181?
True
Does 14 divide 1215036928?
True
Does 26 divide 677248042?
False
Is 455088876 a multiple of 44?
True
Is 106479011 a multiple of 423?
False
Is 36122765 a multiple of 2?
False
Is 18 a factor of 53543383?
False
Does 3057 divide 20047806?
True
Is 12519955 a multiple of 2345?
True
Is 2990 a factor of 296437910?
False
Is 121833128 a multiple of 2284?
True
Does 3838 divide 324560295?
False
Is 30004775 a multiple of 179?
False
Is 1997 a factor of 96884402?
False
Is 17 a factor of 3080757?
True
Does 813 divide 5978620?
False
Is 1490 a factor of 162934480?
True
Does 300 divide 233931900?
True
Is 103899924 a multiple of 276?
True
Does 20 divide 4723070?
False
Is 9620754 a multiple of 444?
False
Is 2 a factor of 2713117?
False
Is 6 a factor of 1764556581?
False
Does 4 divide 3228785?
False
Is 571530793 a multiple of 1093?
True
Does 33 divide 298501566?
True
Is 15500190 a
|
{
"pile_set_name": "DM Mathematics"
}
|
cked without replacement from {o: 13, k: 4, l: 3}?
156/1615
Two letters picked without replacement from {l: 7, x: 1}. What is prob of picking 1 l and 1 x?
1/4
Calculate prob of picking 3 x when three letters picked without replacement from xxeepxepe.
1/84
Three letters picked without replacement from {z: 4, v: 7}. Give prob of picking 1 v and 2 z.
14/55
What is prob of picking 1 q and 3 f when four letters picked without replacement from qfffqfqqqffffqqfffqq?
99/323
What is prob of picking 1 y, 2 s, and 1 l when four letters picked without replacement from {j: 3, s: 1, y: 3, o: 5, l: 1}?
0
Calculate prob of picking 2 j when two letters picked without replacement from zzjjjzjjjzjzzjzjjzzj.
11/38
What is prob of picking 1 m, 1 q, and 2 r when four letters picked without replacement from {q: 1, b: 1, m: 2, r: 3, l: 1, w: 3}?
1/55
Four letters picked without replacement from yasctycctcayaycycy. What is prob of picking 1 y, 1 t, and 2 c?
1/17
What is prob of picking 1 y and 2 v when three letters picked without replacement from {y: 3, v: 15}?
105/272
Three letters picked without replacement from {s: 1, i: 2, x: 4, u: 1, y: 1}. Give prob of picking 3 x.
1/21
Three letters picked without replacement from {h: 1, m: 2, r: 10, a: 5, w: 2}. What is prob of picking 1 r, 1 m, and 1 h?
1/57
Calculate prob of picking 1 e, 1 v, 1 t, and 1 y when four letters picked without replacement from {t: 1, v: 1, m: 1, e: 1, y: 2, u: 2}.
1/35
Two letters picked without replacement from mhjrc. What is prob of picking 1 c and 1 h?
1/10
Three letters picked without replacement from {w: 5, e: 3, f: 1, i: 1, n: 5}. Give prob of picking 1 i, 1 n, and 1 f.
1/91
Three letters picked without replacement from {v: 2, b: 3, t: 10}. Give prob of picking 2 v and 1 b.
3/455
What is prob of picking 2 j and 1 f when three letters picked without replacement from {w: 2, j: 2, f: 1, t: 7}?
1/220
Two letters picked without replacement from sqyym. What is prob of picking 1 y and 1 q?
1/5
What is prob of picking 3 t when three letters picked without replacement from {t: 4, e: 3, j: 5}?
1/55
Two letters picked without replacement from {n: 10}. What is prob of picking 2 n?
1
Four letters picked without replacement from {v: 1, a: 5, g: 5}. What is prob of picking 3 a and 1 v?
1/33
Two letters picked without replacement from sqsciqsssis. Give prob of picking 1 c and 1 s.
6/55
Calculate prob of picking 1 w and 3 t when four letters picked without replacement from {w: 2, b: 1, t: 4, e: 2}.
4/63
Four letters picked without replacement from {p: 6, i: 3, z: 5, e: 1, o: 3, d: 1}. What is prob of picking 2 i, 1 z, and 1 e?
5/1292
What is prob of picking 1 b and 1 v when two letters picked without replacement from {b: 1, v: 1, g: 2, x: 1, y: 1, i: 1}?
1/21
What is prob of picking 1 a, 1 q, and 1 n when three letters picked without replacement from naqqhhzhnzqzqznhzznz?
4/285
Calculate prob of picking 1 u, 1 b, and 1 y when three letters picked without replacement from ubxbpxxypykubx.
3/91
What is prob of picking 1 z, 1 v, and 1 g when three letters picked without replacement from {l: 1, h: 1, w: 1, g: 2, z: 1, v: 1}?
2/35
Calculate prob of picking 1 q and 1 a when two letters picked without replacement from mjnmqqqjnmam.
1/22
Two letters picked without replacement from {z: 15, s: 3}. Give prob of picking 2 s.
1/51
Two letters picked without replacement from wwwwhwhwwwwhwhwwwh. Give prob of picking 2 h.
10/153
Four letters picked without replacement from {t: 2, k: 6, e: 4, p: 1, j: 2}. What is prob of picking 2 t and 2 e?
2/455
Two letters picked without replacement from rrmjx. Give prob of picking 1 x and 1 j.
1/10
Two letters picked without replacement from {t: 2, h: 2}. Give prob of picking 1 t and 1 h.
2/3
Three letters picked without replacement from {d: 2, l: 3, t: 1, x: 1, y: 4}. Give prob of picking 1 t, 1 y, and 1 l.
4/55
Calculate prob of picking 1 u and 3 i when four letters picked without replacement from {m: 2, q: 5, r: 1, u: 2, p: 1, i: 5}.
1/91
Four letters picked without replacement from eeeeeeeeeheeeee. What is prob of picking 4 e?
11/15
Three letters picked without replacement from {n: 2, u: 3, i: 4, k: 1, e: 1, r: 1}. What is prob of picking 1 i, 1 n, and 1 e?
2/55
Calculate prob of picking 1 t and 2 o when three letters picked without replacement from oiimoooomomiotdiooo.
15/323
Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {m: 1, r: 1, i: 1, k: 2}.
1/10
What is prob of picking 1 n and 1 r when two letters picked without replacement from xgxpgixrxgnrrg?
3/91
Four letters picked without replacement from woooooowow. What is prob of picking 2 w and 2 o?
3/10
Calculate prob of picking 1 t and 1 y when two letters picked without replacement from yjtqqptky.
1/9
Two letters picked without replacement from yyyypyyyyyypyypy. Give prob of picking 1 p and 1 y.
13/40
What is prob of picking 3 g and 1 s when four letters picked without replacement from gewspgwwwgwg?
4/495
What is prob of picking 1 n and 1 h when two letters picked without replacement from chschssshsshszsn?
1/30
What is prob of picking 1 q, 1 y, and 2 m when four letters picked without replacement from {m: 5, q: 1, y: 5, v: 1}?
10/99
What is prob of picking 2 p when two letters picked without replacement from eteppppettteppp?
1/5
Four letters picked without replacement from {b: 2, t: 3, m: 3, h: 2, i: 3}. What is prob of picking 3 m and 1 i?
3/715
What is prob of picking 1 e and 1 k when two letters picked without replacement from {k: 2, w: 1, p: 3, d: 3, e: 1, o: 1}?
2/55
Calculate prob of picking 3 b when three letters picked without replacement from {h: 1, p: 4, b: 3}.
1/56
Four letters picked without replacement from uucvuuucchgvvghhu. Give prob of picking 3 h and 1 g.
1/1190
Calculate prob of picking 2 x and 1 b when three letters picked without replacement from {b: 5, x: 4, y: 7}.
3/56
Calculate prob of picking 1 m and 1 p when two letters picked without replacement from lzvlzpvlmcmllvvll.
1/68
What is prob of picking 1 t and 1 y when two letters picked without replacement from ytytyt?
3/5
What is prob of picking 2 m when two letters picked without replacement from nuiuumuio?
0
Two letters picked without replacement from {u: 3, q: 2, i: 4, j: 1}. What is prob of picking 1 i and 1 j?
4/45
Two letters picked without replacement from {o: 3, l: 3, p: 1}. What is prob of picking 2 o?
1/7
Two letters picked without replacement from {l: 4, v: 6}. What is prob of picking 2 l?
2/15
Four letters picked without replacement from ufuuffqquqbubqbqqqqq. What is prob of picking 1 f and 3 u?
2/323
What is prob of picking 2 s when two letters picked without replacement from fsfffssssffsfs?
3/13
What is prob of picking 4 t when four letters picked without replacement from ftteetteeffeetee?
1/364
Three letters picked without replacement from fddfdddd. What is prob of picking 3 d?
5/14
Four letters picked without replacement from zzuuuzyu. Give prob of picking 2 u, 1 z, and 1 y.
9/35
Two letters picked without replacement from {g: 1, r: 11}. What is prob of picking 2 r?
5/6
Two letters picked without replacement from hhzhzhhhzh. Give prob of picking 1 z and 1 h.
7/15
Three letters picked without replacement from swsrosswssrosms. What is prob of picking 1 m and 2 r?
1/455
What is prob of picking 2 y and 1 z when three letters picked without replacement from yyhhpnhzphyhzphpp?
3/340
What is prob of picking 1 x and 1 c when two letters picked without replacement from {g: 7, x: 2, c: 6, h: 3, y: 1}?
4/57
Calculate prob of picking 2 s, 1 k, and 1 e when four letters picked without replacement from {e: 2, d: 2, k: 2, s: 4}.
4/35
Calculate prob of picking 1 a, 1 d, and 2 s when four letters picked without replacement from {c: 5, p: 3, s: 5, d: 4, a: 1}.
2/153
What is prob of picking 2 b and 1 s when three letters picked without replacement from {n: 5, b: 4, s: 1, y: 2, o: 1, t: 2}?
6/455
What is prob of picking 4 k when four letters picked without replacement from {o: 12, k: 6}?
1/204
Calculate prob of picking 1 y, 2 r, and 1 s when four letters picked without replacement from rsrryry.
12/35
Two letters picked without replacement from {k: 1, b: 9, m: 2, u: 2}. Give prob of picking 1 b and 1 u.
18/91
Three let
|
{
"pile_set_name": "DM Mathematics"
}
|
tor of 70 and i.
14
Let c be (-4)/18 + (-7552)/36. Let r = -78 - c. What is the highest common factor of r and 33?
33
Let x be 5 - -3 - (-4 - -11). Calculate the highest common factor of x and 6.
1
Let g(n) = -4*n**2 + 81*n + 3. Let o be g(18). Let i be ((-6)/4)/(2/(-20)). What is the highest common divisor of i and o?
15
Suppose -9*x = -7*x + 24. Let n be (-222)/(-11) - x/(-66). Calculate the highest common factor of 20 and n.
20
Let k be 3 - ((-1)/1 + -2). Let h = 67 - 39. Suppose -b + k*b + 2*v - 52 = 0, -3*b + 2*v = -h. Calculate the greatest common factor of b and 110.
10
Let l = 335 - 63. What is the greatest common divisor of l and 170?
34
Let q(f) = f**3 + f**2 + f + 1. Let o be q(-1). Suppose o*p - p + 12 = 0. Suppose -160 + 40 = -2*n. Calculate the greatest common factor of n and p.
12
Let m = 94 + -73. What is the greatest common divisor of 42 and m?
21
Let z(v) = v + 1. Let q be z(4). Suppose -3*s + 20 = -6*g + g, 0 = -q*s - g - 4. Let t be (s + -1 + 13)/1. What is the greatest common divisor of t and 48?
12
Let d be (-552)/(-115)*(-10)/(-4). Let i be 1/(4 + 30/(-8)). Calculate the highest common divisor of i and d.
4
Let u be ((-8)/6)/((-44)/(-1914)). Let t = u - -84. Calculate the highest common divisor of 78 and t.
26
Let j(z) = -z**3 + 3*z**2 + 2*z - 1. Let b be j(4). Let w = 0 - b. Suppose 3*c - 2*c - 54 = 0. Calculate the highest common factor of c and w.
9
Let r(u) = -u**3 + 21*u - 20. Let z be r(-6). Calculate the highest common divisor of z and 80.
10
Let j(l) be the third derivative of 2/3*l**3 - 1/24*l**4 + 11*l**2 + 0 + 0*l. Let w be j(3). What is the highest common factor of w and 2?
1
Let x be 5/20*-1 + (-98)/(-8). Let d be (1 - (-198)/x) + 3/2. Calculate the greatest common factor of d and 114.
19
Suppose m + 2*m = -3*w + 273, 4*m - 363 = -3*w. Calculate the greatest common factor of m and 105.
15
Let o(h) = 2*h**2 - 12*h - 7. Let n = -16 + 23. Let b be o(n). What is the greatest common factor of 1 and b?
1
Suppose -2*c + 0 = 3*h - 14, 17 = 3*h + 5*c. Let k(b) = -b**2 + 7*b - 4. Let z be k(h). What is the greatest common factor of 12 and z?
4
Let i = -3440 - -5409. Calculate the greatest common divisor of 11 and i.
11
Let i = 6 - -16. Let v = i - 3. Let j = -199 + 294. What is the highest common divisor of v and j?
19
Suppose b - 3*i = 2*b - 7, 0 = -4*b + 3*i + 103. Let r be 3/6*(-3)/1*(-22)/3. What is the highest common factor of b and r?
11
Let n = 254 - 247. Calculate the greatest common divisor of n and 707.
7
Let s = -92 + 1901. Calculate the greatest common divisor of s and 18.
9
Suppose -3*p + 1972 = 57*d - 56*d, -d = 2. What is the greatest common factor of 14 and p?
14
Let p(n) = -n - 6. Let v be p(-16). Suppose -9*k = -v*k + 140. What is the greatest common factor of 56 and k?
28
Let y(o) = -o**3 - 6*o**2 - 4*o - 3. Let g be y(-6). Let n(l) = 5*l + 23. Let c be n(-4). What is the greatest common factor of g and c?
3
Suppose -162 = 31*u - 34*u. Calculate the highest common factor of 450 and u.
18
Let s be (-5*38/(-15))/((-1)/(-6)). Calculate the highest common divisor of s and 532.
76
Suppose b - 19 = 3*n, 4*n = 2*b - 3*b - 16. Suppose 0 = b*i - 0*i - 16. Let l = 27 - i. What is the highest common divisor of l and 46?
23
Suppose q + 2*j = 14, -q - 4*j - 42 = -4*q. What is the highest common divisor of q and 16?
2
Let w be (5 - 6) + (-14)/(-1). Let p be -5 + w + 2/(-1). Suppose -4*h + 2*n = -52, 5*h + 3*n = p*n + 64. What is the greatest common factor of h and 42?
14
Suppose h - 150 = -5*h. Let n = 12 - h. Let c = 28 + n. What is the highest common divisor of 3 and c?
3
Suppose 2*u - 3*b = 242, u + 5*b = -0*u + 95. What is the greatest common divisor of 46 and u?
23
Let g(b) = -2*b + 10. Let a be g(-4). Calculate the highest common factor of 342 and a.
18
Let x be (-139)/((2/(-8))/((-12)/(-16))). Calculate the highest common factor of x and 3.
3
Let o(b) = b**3 + 2*b**2 + b + 1. Let u be o(-1). Calculate the greatest common factor of 19 and u.
1
Let t = 1345 + -1055. What is the greatest common factor of 50 and t?
10
Suppose -10*f + 33 = -1087. Calculate the highest common factor of 560 and f.
112
Suppose -5*w = 4*m - 311, 0*w + 248 = 4*w + 4*m. Let u(a) = 2*a**2 + 43*a - 8. Let d be u(-22). What is the highest common factor of w and d?
7
Suppose 4*a = -5*z - 3150, -789 = 2*a - 2*z + 777. Let g be a/(-30) + (-2)/12. Calculate the greatest common divisor of g and 26.
26
Let n be 2*2 - 13/(-13). Suppose -56 = -k - n*j, 2*k + 4*j = 88 + 24. Suppose 2*z + k = 3*l, l - 2*z - 2 = 2*z. What is the highest common divisor of l and 55?
11
Let o be 2/(-13) + 435/39. Let m be ((-4)/(-10))/(7/630). Suppose -m = 3*k - 168. Calculate the highest common divisor of k and o.
11
Let h(l) = -l**3 - 10*l**2 - 10*l + 27. Let r be h(-9). Calculate the highest common divisor of r and 369.
9
Let f(z) = -z**3 + 7*z**2 - 5*z - 5. Let y be f(5). Calculate the highest common factor of y and 20.
20
Let o(u) = -u**3 - 4*u**2 - 3*u. Let q be o(-4). Let g be 0/(-2 - -4) + 48. Calculate the highest common factor of q and g.
12
Suppose -7*h + 463 = 239. What is the greatest common divisor of 608 and h?
32
Let o(c) = 65*c + 943. Let l be o(-14). Suppose -5*a + 5*j - j = -998, 2*a = -2*j + 392. Calculate the greatest common factor of l and a.
33
Suppose 5*s = -5*t - 0*s, 16 = 3*t - s. Suppose 0 = -t*n - 12, 4*y = -y - 2*n + 219. Let k be (-71)/(-4) + 8/32. What is the highest common factor of k and y?
9
Let j(g) = g**2 + 6*g + 5. Suppose 5*i - 12 + 42 = 0. Let v be j(i). Suppose 0*y + 4*h = 4*y, v*y = 4*h + 5. What is the greatest common factor of 1 and y?
1
Let n(l) = -l - 3. Let f = 19 - 23. Let o be n(f). Calculate the highest common factor of o and 4.
1
Let g(j) be the third derivative of -j**6/120 - 7*j**5/60 + 7*j**4/24 + j**3/3 - 13*j**2. Let o be g(-8). What is the greatest common factor of o and 80?
10
Let f = -1861 + 2165. Calculate the highest common factor of 38 and f.
38
Suppose -4*l + 455 = -3*l. What is the highest common factor of 35 and l?
35
Suppose 1012 = 37*c + 7*c. Calculate the greatest common factor of c and 667.
23
Let z(t) = 7*t + 13. Let s be z(4). What is the greatest common divisor of 2 and s?
1
Let o be (240/84)/(0 - (-1)/14). Calculate the greatest common factor of o and 64.
8
Suppose -16 = -2*c - 2*x, c + 11*x - 5 = 7*x. Suppose -7*h + c*h = 24. Calculate the greatest common factor of 228 and h.
12
Let q be -53*(0 - -1)/(-1). Suppose -3*k = 2*l - 36, 0*l + q = 3*l + 4*k. Suppose -33 - 1167 = -10*u. Calculate the highest common divisor of l and u.
15
Let v be (-47 - -22) + 2*2/(-4). Let p be (-11)/9 + v/(-117) - -3. What is the highest common factor of 1 and p?
1
Let l = -630 - -1065. Calculate the highest common divisor of 87 and l.
87
Let j = -2 - -11. Suppose 5*a - j*a + 132 = 0. Suppose 2*b = -b + a. Calculate the highest common divisor of b and 55.
11
Let o(a) = -35*a. Let y be o(1). Let c be (y/2 + 1)/(6/(-16)). Calculate the highest common divisor of 66 and c.
22
Suppose 0 = -9*c + 734 + 814. What is the greatest common divisor of c and 4?
4
Let x(k) = 7*k - 1. Let w be x(1). Let n be (23/(-2))/(((-44)/(-24))/(-11)). Let b = 84 - n. Calculate the greatest common divisor of b and w.
3
Suppose -n - 4*q = -46 + 6, 4*q = n - 48. What is the highest common factor of 11 and n?
11
Let x be 4/(-6)*(-195)/10. Let c = -3 + x. Let a = 2 + c. What is the highest common divisor of a and 8?
4
Let v(b) = b**3 - 5*b**2 + 7*b + 1. Let o be v(3). Suppose k = 3*k - o. Calculate the highest common divisor of 14 and k.
2
Let h be (-2512)/(-6) + 96/72. What is the highest common divisor of 294 and h?
42
Let u(q) = 7*q**2 + 4*q - 1. Let s be u(-3). Suppose 0*f + s = 5*f. Let v = 7 + -2. What is the highest common divisor of f and v?
5
Suppose 11*u - 14*u = -12. Suppose u*n = t + 124, -4*t - 40 = -2*n - 9*t. What is the highest common factor of n and 15?
15
Suppose 82*u - 83*u = -21. What is the greatest common divisor of 63 and u?
21
Let d(i) = -6*i + 1. Suppose 4*t + 12 = 4*m, -2*t - 3*m + 0 = -4. Let x be d(t). Calculate the highest common factor of x and 14.
7
Let g(n) = -n. Let v be g(-1). Let f(y) = 18*y**2 - 2. Let a be f(v). Let x = -39 + 55. Calculate the greatest common factor of a and x.
16
Let n be (6 - 0)*10/15. Su
|
{
"pile_set_name": "DM Mathematics"
}
|
decimal places?
-1.36
What is -13.452 rounded to the nearest ten?
-10
What is -1379500 rounded to the nearest 100000?
-1400000
Round 0.068071 to 2 dps.
0.07
What is 5793000 rounded to the nearest 100000?
5800000
Round 140300 to the nearest one thousand.
140000
What is -0.000000324 rounded to 7 decimal places?
-0.0000003
Round 0.00008583 to 5 dps.
0.00009
Round 862.35 to the nearest 100.
900
Round -0.009718 to 4 dps.
-0.0097
What is -0.001001 rounded to 4 decimal places?
-0.001
What is -0.001776 rounded to four decimal places?
-0.0018
What is 0.05813 rounded to 2 dps?
0.06
Round 0.000000496 to 7 dps.
0.0000005
Round 16.457 to the nearest one hundred.
0
What is 0.0000003005 rounded to seven dps?
0.0000003
Round 168380 to the nearest one hundred thousand.
200000
What is -7400 rounded to the nearest 100?
-7400
Round 0.00171 to four dps.
0.0017
Round -2116100 to the nearest ten thousand.
-2120000
What is -1742 rounded to the nearest 1000?
-2000
Round 5.32 to zero decimal places.
5
What is -0.99094 rounded to two decimal places?
-0.99
Round 0.30356 to one dp.
0.3
Round -0.000050304 to 5 decimal places.
-0.00005
Round -0.000000064397 to seven decimal places.
-0.0000001
What is -20.673 rounded to the nearest integer?
-21
What is 0.00198 rounded to 4 decimal places?
0.002
What is -11.853 rounded to zero dps?
-12
Round -8396 to the nearest one hundred.
-8400
Round 2896900 to the nearest 10000.
2900000
What is -306.8 rounded to the nearest ten?
-310
What is 18.33 rounded to 1 dp?
18.3
Round 117.639 to zero dps.
118
Round 6.2234 to 2 decimal places.
6.22
What is -683280 rounded to the nearest 10000?
-680000
Round -1012.35 to the nearest integer.
-1012
Round -53724000 to the nearest 100000.
-53700000
What is -0.000011104 rounded to 7 decimal places?
-0.0000111
Round 0.0012094 to four dps.
0.0012
Round 0.000094 to five dps.
0.00009
What is 82800 rounded to the nearest ten thousand?
80000
What is 11399 rounded to the nearest 100?
11400
What is 0.0006147 rounded to four dps?
0.0006
Round 42.85 to the nearest ten.
40
Round -3315000 to the nearest one million.
-3000000
What is -0.000001778 rounded to six decimal places?
-0.000002
Round -0.000769 to five dps.
-0.00077
Round -0.000008319 to 6 dps.
-0.000008
What is 63009000 rounded to the nearest 1000000?
63000000
What is 0.000011777 rounded to 6 decimal places?
0.000012
What is -0.0000040125 rounded to 7 dps?
-0.000004
Round 1.7911 to one decimal place.
1.8
Round 527.6 to the nearest 10.
530
What is -965300 rounded to the nearest 100000?
-1000000
What is -0.00071481 rounded to five decimal places?
-0.00071
What is 0.0029122 rounded to 4 dps?
0.0029
Round 0.03819 to 3 decimal places.
0.038
Round -1247.59 to the nearest one hundred.
-1200
Round 105420 to the nearest 1000.
105000
What is -0.00186784 rounded to 4 decimal places?
-0.0019
What is -0.21382 rounded to three decimal places?
-0.214
What is -752270 rounded to the nearest 1000?
-752000
Round 0.00218683 to 4 dps.
0.0022
What is -0.000545151 rounded to five dps?
-0.00055
What is 9.31 rounded to 1 decimal place?
9.3
Round 0.0000039861 to six decimal places.
0.000004
What is -0.62848 rounded to one decimal place?
-0.6
What is -0.0000069 rounded to five decimal places?
-0.00001
What is 0.095 rounded to two decimal places?
0.1
Round 0.005648 to 3 dps.
0.006
What is 0.00481 rounded to three dps?
0.005
Round 13560 to the nearest 1000.
14000
What is -276140000 rounded to the nearest one million?
-276000000
Round -0.0000032555 to seven dps.
-0.0000033
Round 654300 to the nearest 10000.
650000
What is -3816700 rounded to the nearest ten thousand?
-3820000
What is -6.48 rounded to the nearest integer?
-6
What is -0.00051 rounded to 4 dps?
-0.0005
Round 105240 to the nearest ten thousand.
110000
What is 2.33986 rounded to one decimal place?
2.3
Round 0.2604 to two decimal places.
0.26
Round -0.000057408 to seven decimal places.
-0.0000574
What is 0.021897 rounded to 3 decimal places?
0.022
Round 10620000 to the nearest one million.
11000000
What is 0.008908 rounded to four dps?
0.0089
What is 0.000002721 rounded to seven dps?
0.0000027
Round -16050 to the nearest one thousand.
-16000
What is 0.000126192 rounded to six decimal places?
0.000126
What is 146.18 rounded to the nearest 10?
150
Round 0.050801 to 2 decimal places.
0.05
Round 1.4018 to 2 decimal places.
1.4
What is -11454 rounded to the nearest 1000?
-11000
Round 1228740 to the nearest 100000.
1200000
What is -62770000 rounded to the nearest 1000000?
-63000000
What is -0.00251 rounded to three decimal places?
-0.003
Round -9154000 to the nearest 1000000.
-9000000
Round 157510 to the nearest ten thousand.
160000
What is 0.2535 rounded to 2 dps?
0.25
What is -0.43939 rounded to three dps?
-0.439
Round -0.1206 to 3 dps.
-0.121
What is 1.315 rounded to 2 dps?
1.32
What is -0.6138 rounded to one decimal place?
-0.6
What is -1075 rounded to the nearest one hundred?
-1100
What is -0.000113 rounded to four decimal places?
-0.0001
Round -0.08076 to 2 decimal places.
-0.08
What is -445.65 rounded to the nearest one hundred?
-400
Round 108100 to the nearest 100000.
100000
Round -5032000 to the nearest one hundred thousand.
-5000000
Round -185640 to the nearest ten thousand.
-190000
What is 0.0012147 rounded to four decimal places?
0.0012
What is -0.000065148 rounded to 6 decimal places?
-0.000065
Round -0.022723 to three dps.
-0.023
What is 0.208808 rounded to three dps?
0.209
What is -0.042233 rounded to three dps?
-0.042
Round -939.4 to the nearest one hundred.
-900
What is -134991 rounded to the nearest ten thousand?
-130000
Round -715.8 to the nearest ten.
-720
Round -129170 to the nearest one thousand.
-129000
What is 0.000005765 rounded to seven dps?
0.0000058
Round 8015000 to the nearest 10000.
8020000
What is -0.12587 rounded to two decimal places?
-0.13
What is -0.01897 rounded to two decimal places?
-0.02
What is 2381530 rounded to the nearest 10000?
2380000
Round -2537000 to the nearest one hundred thousand.
-2500000
What is 0.000000192 rounded to 7 dps?
0.0000002
Round -166900 to the nearest ten thousand.
-170000
Round 151600 to the nearest 1000.
152000
Round 52.09 to the nearest integer.
52
Round 21.66 to the nearest ten.
20
What is 0.022262 rounded to three decimal places?
0.022
What is -85.185 rounded to one dp?
-85.2
Round 0.00882 to 4 decimal places.
0.0088
What is 22493400 rounded to the nearest 100000?
22500000
Round 0.0063661 to 4 dps.
0.0064
What is 1.6268 rounded to zero dps?
2
Round -2538.1 to the nearest one hundred.
-2500
Round -0.0040781 to 5 decimal places.
-0.00408
What is -0.00011544 rounded to 6 decimal places?
-0.000115
Round 3060.81 to the nearest one hundred.
3100
Round 2017 to the nearest 100.
2000
Round 126.61 to the nearest integer.
127
What is 0.00050225 rounded to 4 dps?
0.0005
Round -238.93 to 0 decimal places.
-239
What is 4430000 rounded to the nearest 100000?
4400000
What is -0.000073824 rounded to six decimal places?
-0.000074
Round 4.19 to one dp.
4.2
What is 2289000 rounded to the nearest 100000?
2300000
What is 162250 rounded to the nearest ten thousand?
160000
Round -0.03057 to 4 dps.
-0.0306
What is 6.92 rounded to the nearest 10?
10
Round 0.00731 to 3 decimal places.
0.007
What is -0.000000127177 rounded to seven decimal places?
-0.0000001
Round 3.7847 to 0 decimal places.
4
What is -8740 rounded to the nearest one thousand?
-9000
Round -280130 to the nearest 10000.
-280000
Round -0.0000000189 to seven dps.
0
Round -0.00048005 to six dps.
-0.00048
Round 215.87 to the nearest 10.
220
Round -6290 to the nearest one hundred.
-6300
Round -639.8 to the nearest one hundred.
-600
What is -0.37136 rounded to 2 dps?
-0.37
What is 86390000 rounded to the nearest one million?
86000000
Round -116450 to the nearest 10000.
-120000
What is 0.024331 rounded to 2 decimal places?
0.02
Round -1371620 to the nearest ten thousand.
-1370000
Round 0.07293 to two decimal places.
0.07
What is -223.9 rounded to the nearest 100?
-200
What is 8314000 rounded to the nearest one million?
8000000
Round 0.18239 to three dps.
0.182
Round 232.5 to the nearest ten.
230
Round 15.7665 to the nearest integer.
16
What is 0.2297 rounded to two dps?
0.23
Round -4687000 to the nearest one hundred thousand.
-470
|
{
"pile_set_name": "DM Mathematics"
}
|
. Which is the closest to 0? (a) -5 (b) o (c) 3
b
Let v be 20/(-9) + 6/27. Let i = -0.28 - -118.28. Let r = i - 119. What is the closest to r in -17, v, -0.4?
-0.4
Let d = 1.83 + -2.5. Let g = -6.33 + d. Let s = 4 + g. Which is the closest to 0.3? (a) -5 (b) 1 (c) s
b
Let l = -2493 + 2493. What is the closest to 3 in 72, -1, l?
l
Let a = -427/5 - -85. Let i = -688 - -19255/28. Let f = -5/28 + i. What is the closest to f in 2, a, 4?
a
Let h = -0.4086 + 0.0086. Which is the closest to -0.19? (a) -0.01 (b) h (c) 0
a
Let t = 2/27709 - 221690/249381. What is the closest to -8 in t, 1/4, -3, 15?
-3
Let l = -0.32 + 0.72. Let n = 10.01 + -103.91. Let a = n + 94. What is the nearest to a in l, 3, 1/8?
1/8
Let z be (-1 - -2)*(-12 + (-150)/(-12)). Which is the closest to z? (a) 40 (b) -2 (c) 0.24
c
Let x = 55427/6 + -9238. Suppose 2*p = -2*p - 4. Which is the nearest to 0.1? (a) p (b) -1/11 (c) x
b
Let n = 14.2 - -50.6. Let o = n + -65. Which is the closest to -1/4? (a) -4 (b) -0.1 (c) o
c
Let w = -10.9 + 11. Let j = -0.3 + w. Suppose 7512*u + 54 = 7494*u. What is the nearest to j in 2/47, -0.3, u?
-0.3
Let q = -0.20664 + 0.14664. What is the closest to q in -4, 3/5, 0.048, -5?
0.048
Let s = 16 - 14. Suppose s*l = 3*l + 10. Which is the closest to l? (a) -2/17 (b) 1 (c) 5
a
Suppose 0 = 2*p + 6*p + 16. Let u = 1.1 + 3.9. Suppose 0 = 6*g - 10 + 40. Which is the closest to -4? (a) g (b) p (c) u
a
Let g be (3/2)/(6/8). Let h = -264 - -265. Let v = -4 - h. Which is the closest to g? (a) v (b) 1 (c) 1/3
b
Let w be (-7)/(-49) + 6/504*44. What is the nearest to -0.4 in 19, -1, w?
-1
Suppose 581 = 5*w - 0*g - 4*g, 3*g + 238 = 2*w. Which is the closest to w? (a) 2 (b) -3 (c) 1/2
a
Let n be ((-3)/(-66))/(2/(-8)). Let g be (-2)/3 + 5/3. Let b be (-2)/6*g*3*0. What is the nearest to -2 in n, -3, b?
-3
Let q = 0 - -1. Let s be 1/q*2/14. Let o be 345/207*(9 + (2 - 9) - (-18)/(-10)). Which is the nearest to o? (a) 0.7 (b) 3 (c) s
c
Let k = -1.0817 + 1.1817. Which is the nearest to k? (a) 2 (b) 0.84 (c) 2/3 (d) -4
c
Let m = 39560 - 39559.9. Let p = 3.2 + 0.8. What is the closest to m in 13, -0.4, p?
-0.4
Let y = 0.5815 - 0.4815. Which is the nearest to y? (a) -2/3 (b) 3 (c) -11 (d) -2
a
Let d be (-451)/(-8) - 48/128. Let y = d - 50. What is the nearest to y in -2/5, 0.2, -2/7?
0.2
Suppose 3*y + 162 = -168. Suppose 3*m = 2*a + 325 - 338, -5*m = 35. What is the nearest to 1 in y, -5, a?
a
Let r = -8589 - -17179/2. Which is the nearest to -2/9? (a) 15 (b) r (c) 24 (d) 4
b
Let o = 0.33607 + -0.23607. What is the closest to -1326 in o, 3/5, 2/13?
o
Let n = -3177.9 + 3178. Which is the closest to -2? (a) -1/5 (b) 17 (c) n (d) 1
a
Let n = -0.35 - -0.45. Let o = -8.8 + 17.8. What is the closest to 1 in n, 0.5, o?
0.5
Let l = -4557 - -4525. Which is the closest to 0.2? (a) 4 (b) 2 (c) l
b
Let k(o) = -o**3 - 5*o**2 + 6*o - 3. Let g be k(-6). Let j = -155493.96 - -155494. What is the closest to -0.1 in j, -0.5, g?
j
Let o = -0.1271 - -0.1271. Let g = -39 + 42. Let l = -21/22 - -5/11. What is the closest to 4/11 in l, o, g?
o
Let z = -6.7 + 7. Let u(g) = 1045*g + 143163. Let j be u(-137). Which is the nearest to j? (a) z (b) 3/4 (c) -8 (d) 1/3
a
Let r = -268 - -268. Let u be (-10 + 8)*(3/3 - 0). What is the closest to r in -1/9, 2/9, u?
-1/9
Let w = -119/6 - -20. Let s = -4.59 - -4.363. Let i = s + 0.127. Which is the nearest to 1? (a) w (b) 3/4 (c) i
b
Suppose 0 = 3*x - 5*p + 26, -2205*x + 2206*x = -4*p + 31. What is the nearest to -2/7 in -76, x, 0.1?
0.1
Let x = 9.3 - 3.3. Let i = 370/3 + -124. Let z = 0.2 + 0.1. What is the closest to x in z, i, -2/11?
z
Let x = 5.03675 + -0.03675. Which is the closest to 2/3? (a) x (b) -1 (c) -2/7 (d) -7/15
c
Let k = 3992/6051 - -14/2017. Which is the closest to -1/7? (a) -0.3 (b) 2/7 (c) -1 (d) k
a
Let m = -1561 - -1463.7. Let v = -97.2 - m. Let o = 2 + -1.9. Which is the nearest to o? (a) v (b) 2/9 (c) -28
a
Let y(h) = h**3 - 4*h**2 - 4*h + 6. Let p be y(5). Suppose p = -3*a - r, -17 = 3*a - r - 4*r. What is the nearest to 1 in a, -3/5, 5?
-3/5
Let c = -184.234 + 184. Let r = 20.034 - 20.1. Let f = c + r. What is the nearest to 0 in f, -3, -1?
f
Let z = -7.08 + 7.48. Which is the nearest to z? (a) 1/5 (b) 2/7 (c) -2 (d) 3
b
Let n = -23496 - -70486/3. Which is the nearest to n? (a) -98 (b) -2 (c) -10
b
Let h = -3791 + 22745/6. What is the nearest to 1/2 in h, -0.2, 8, 2/13?
2/13
Suppose 0 = -0*o - 3*o - 5*d + 29, 2*d = 5*o - 7. Let g = -4.6 + 4.3. Let j = -0.6 + 0.6. What is the closest to j in 4, o, g?
g
Let n = 2053 + -2048. What is the nearest to 2/21 in 1, 1/2, n?
1/2
Let u = -419.5 + 420. Let d = 5.8 - 5.6. Which is the closest to 7? (a) 3 (b) d (c) u
a
Let v = 35.662 - 36.662. What is the nearest to v in 3/2, -5, 4, -0.01?
-0.01
Let x = -174 - -194. Let k be -12*x/56 + 4. Which is the nearest to -3? (a) 2 (b) -3/2 (c) k
b
Let w be ((-162)/24 + 0)/((-3)/12). Let t = -29 + w. Let q = 0.3 + 1.7. Which is the nearest to 2/3? (a) t (b) -1/4 (c) q
b
Let h = 11348 + -79308/7. Let m = h + -626/35. Which is the closest to m? (a) -0.6 (b) -1/5 (c) -0.4
b
Let t = -85.5 + 85.6. Which is the closest to -21? (a) 0 (b) -0.14 (c) 0.5 (d) t
b
Let u = 131 - 395/3. Let y = 6.28 + -6.18. What is the nearest to u in y, 0.3, 8?
y
Let z = 2704 - 2704.3. Suppose -3*f + 18 = -3. Which is the closest to f? (a) 0.1 (b) z (c) 9
c
Suppose 5*q = 7 - 132. Let o = -0.04 + 5.04. Which is the closest to -1? (a) q (b) o (c) -5 (d) 1
d
Suppose 3*t - 5*y = -951, -2*y = y. Let s = t + 322. What is the closest to -2/5 in 2/3, s, -0.19?
-0.19
Let p = -0.9 + 1. Let z = -0.001 + -14.799. Let c = 15 + z. What is the closest to c in p, -9, -5?
p
Let g(f) = 6*f**3 - 2*f**2 - 37*f + 37. Let l be g(1). Which is the nearest to -5? (a) l (b) -0.05 (c) -1/3
c
Suppose -4*y - 2*y = 210. Let k = y - -26. Let c be (k/6)/((-22)/4). What is the nearest to 2/5 in -1/3, c, -0.1?
c
Let n = 39.77 - 3.17. Let t = n + -26.6. Which is the nearest to -1? (a) -0.2 (b) t (c) 0.3
a
Let z be 12/(15/5)*(-12)/(-24). Suppose 0*t + 3 = -3*t - 3*f, 2*t = -3*f - 5. What is the closest to z in -1/17, t, -0.1?
t
Let s be (10 - 172/16)/(((-342)/(-48))/1). Which is the closest to -2/19? (a) -4 (b) 3 (c) -2 (d) s
d
Let m = -8368.2 - -8368. What is the nearest to -7 in m, -2/7, -4/21?
-2/7
Let w = -0.602 - -55.002. Let h = w + -58.4. What is the nearest to -0.1 in -1, -5, -0.01, h?
-0.01
Let n = -4.6946 + -0.3054. What is the closest to 0.22 in -2, n, -4?
-2
Let o = 0.24 + 0.06. Let x = 103 + -102.8. Let g = -34/19 - -18/95. Which is the closest to -1/4? (a) g (b) o (c) x
c
Let b = -304 + 303.819. Let j = b + 0.081. What is the nearest to 1/26 in j, 2/3, -4?
j
Let s = -72 + 498. Let x = s + -427. What is the nearest to x in -91, 2, -2/17?
-2/17
Let j be 2*(-1)/4*(25 - 707). Suppose -340 = o - j. Which is the nearest to -1? (a) 5 (b) o (c) 0.5 (d) -0.3
d
Let q = 71676704/330012153 - -664/73483. Let t = -2/499 + q. Which is the closest to 1/3? (a) -0.3 (b) t (c) -5/3
b
Let f = -0.82 - 4.68. Let w = -1.5 + f. Let q = w + 6. What is the closest to 0.1 in -0.05, q, -3?
-0.05
Let h be (-4)/(-22) - (-29)/22. Let b = 115725 - 115720.0089. Let j = 0.0089 + b. What is the closest to 0.08 in -0.1, h, j?
-0.1
Let d = -0.4 - 0. Let o = -311/5 - -73. Let q = o - 11. What is the nearest to 1 in -1, d, q?
q
Let f = 9 - 33. Let o = f + 7. Let v = o + 16.6. What is the nearest to -3/4 in -0.5, v, -5?
-0.5
Let j = -7.005 - -13.005. Which is the closest to 0.2? (a) -1 (b) j (c) 2 (d) -3/7
d
Let s = -163 + 165. Suppose 2 = -16*d + 82. Let y be (-4)/(-10) + (-14)/(-15). What is the nearest to s in d, y, -0.1?
y
Suppose -7*p + 4*p = -21. Suppose p - 22 = -3*w. Suppose -48 = -w*h - a, 3*h + 3*a - 39 + 3 = 0. What is the nearest to h in 2/9, 5, 3/4?
5
Let j = -6704 - -33519/5. Which is the closest to -6/113? (a) -0.5 (b) -3 (c) j
c
Let z = 7573 - 7573.6. Which is the nearest to 0.2? (a) 0.3 (b) z (c) -20
a
Suppose -1356*q + 1306*q = 100. Which is the nearest to q? (a) 0 (b) 9 (c) 5 (d) 1
a
Let b = -5.53 - -5.13. Let c = 207 - 206.96. What is the nearest to -2 in b, 4, 0.2, c?
b
Let s be 12/70 + (-6)/(-15
|
{
"pile_set_name": "DM Mathematics"
}
|
pose 3*h + a = 18, -8*h + a = -7*h - 6. Solve b = -c*w - w - h for w.
-2
Let x be 12/(-30) + (-38)/5. Let h be x/40 - 4/5. Let m be h/7 + (-90)/(-42). Solve -9 = -m*u - 1 for u.
4
Let l(m) = 3*m**3 - m**2 - m + 4. Let c be l(0). Suppose -f - 6 = f + 5*x, 0 = -f - 3*x - c. Solve -2*y = f*y + 12 for y.
-3
Suppose 3 - 29 = -2*r - 4*l, 0 = -2*l - 2. Solve 0 = 3*j + r - 12 for j.
-1
Let i(b) = b**3 + 3*b**2 - 3*b - 11. Let a be i(-4). Let l be 3*(1 + a/(-5)). Solve -5*v = -v + l for v.
-3
Suppose 2 = 2*c - 4. Suppose 0 = 2*k - 9 + c. Let u be -3*(-3)/(9/k). Solve -10 = 5*l - u*l for l.
-5
Let h(p) = 2*p + 15. Let v be h(-4). Solve -v*i + 10*i = 12 for i.
4
Suppose -2*k = 5*y - 35, -k + 4*y - 10 = y. Let w be (-8)/20 + 7/5. Solve z - w = -k for z.
-4
Let u = 8 - 5. Suppose 4*p + 5*q + 4 = 0, 2*p - 12 - 8 = u*q. Let v(r) = r**3 - 4*r**2 + 2*r - 5. Let y be v(p). Solve -y*c = c + 20 for c.
-5
Let a(r) = r**2 + 5*r - 9. Let n be a(-6). Let l be (2/4)/((-203)/70 - n). Solve l*s = -0*s for s.
0
Suppose -2*q + 4*a = -16, 11 = 4*q + 2*a - 3*a. Solve -q*k - 4 = 2 for k.
-3
Suppose 4*d - d + 3*d = 0. Suppose n + 2*y = 6, -3*n - 2*y = 2*y - 12. Suppose 3*a - 2*a - 1 = n. Solve d*p - a = -p for p.
1
Suppose -24*j + 6*j = -36. Solve h + j*h = -6 for h.
-2
Let u = 1 + -6. Let r be (0/2)/(5/u). Solve r = -5*h - 5 for h.
-1
Let b = 2 - -2. Suppose 3*z + 5*g - 12 = 0, -3*g + 0 = z - b. Let p be 1/1 - 0/(-3). Solve 0 = -3*s + z - p for s.
1
Suppose 0 = -2*o - o - w - 8, -5*w - 30 = 5*o. Let n be 4 + (3/o)/3. Let l be (-1)/((n + -5)/2). Solve 2*z = -l - 5 for z.
-3
Suppose 112 = 41*v - 175. Solve 0 = n + 6 - v for n.
1
Let z be -2 + 1 - 20/(-10). Let r be (6 - -1 - z)*1. Suppose -2*q = 2*b, 2*q - 6 = 2*b + r. Solve q = -5*d + 8 for d.
1
Suppose -5*j - 27 = 4*a - 0*j, 0 = 2*j + 6. Let w be a/(-4) + 69/4. Let g be (2 + -1)/((-2)/(-6)). Solve -g*o + 3 - w = 0 for o.
-5
Let d be (-994)/(-126) - 3/(-27). Solve -d = -11*b + 13*b for b.
-4
Suppose -x - 4*g = -15, -4*x = -5*g - 0 + 3. Suppose -2*k - 11 = -l - 2*l, 0 = x*k + 3. Suppose -7 - l = -s. Solve 3*h + 2*h = -s for h.
-2
Let h be (16/(-6))/(16/(-24)). Suppose -h*p + p + 24 = 0. Suppose v = -0*c + 2*c + p, 2*v - 9 = -3*c. Solve -s + v = s for s.
3
Let s(p) be the second derivative of p**6/720 - p**5/40 + 5*p**4/12 + 3*p. Let a(x) be the third derivative of s(x). Let l be a(7). Solve -3*f = -f + l for f.
-2
Suppose 4*u - 10*w + 6*w - 36 = 0, w + 15 = 2*u. Solve u = -12*n + 10*n for n.
-3
Let h(b) = b**3 + 9*b**2 + 6*b - 13. Let d be h(-8). Suppose -2*a = 4 - 10. Suppose g - 2 = v, -2*g = a*g - 4*v - 10. Solve r - d = g for r.
5
Suppose -5*s + 11 = 6*s. Solve s = -h - 2 for h.
-3
Let q be 45/(-18)*(-36)/10. Suppose -5*o + 15 = 3*l, 0*o + 3*l = -o - q. Solve f - o = -3 for f.
3
Let l be 24/60 + 78/5. Suppose 4 = 4*w - l. Solve 5 = -w*b - 0 for b.
-1
Let l = -43 + 56. Let s be l + (-32)/(-48)*(-18)/4. Solve u + s = -4*u for u.
-2
Let m(u) = -3*u - 12. Let y be m(-4). Let w be -3 - (-3 + y - 2). Solve q + w = 5 for q.
3
Let h(a) = -a**3 - 10*a**2 + 45*a - 118. Let n be h(-14). Solve 17*w + n = -w for w.
-2
Suppose 37 = -4*a + 57. Suppose -4*m + 2*y - 22 = 0, 5*m - 3*y + 29 + 0 = 0. Let g = m + 7. Solve 2 + g = -a*w for w.
-1
Suppose -4*o + 48 = 4*s, 2*s + 2*s - 2*o = 36. Suppose -2*h - 2*u = -s - 14, h - 27 = -4*u. Solve 5 + h = 3*f for f.
4
Let y = 53 + 37. Let q be (-4)/18 + 470/y. Solve -17 = q*u - 7 for u.
-2
Let v = -6 + 9. Solve 4 = -v*q - 5 for q.
-3
Let l be 12/4 - (0/1)/2. Let s(d) = 2*d - 3. Let m be s(3). Solve -m = -2*q + l*q for q.
-3
Let b = 37 + -35. Suppose -6*r + 16 = -b*r. Solve -r*g + 0*g = -8 for g.
2
Let n = -4 + 16. Suppose -3*h - 3*q = -n, -7*h + 19 = -2*h + 4*q. Solve h = -4*t - 13 for t.
-4
Suppose -16*x + 20 = -12*x. Suppose x*k + 2*c + c - 8 = 0, 2*k - c - 12 = 0. Solve -2*l + 6 = -k*l for l.
-3
Suppose 4*q + 7 = 3*p + 4, 0 = q + 2*p - 2. Suppose -y - 3*y + 26 = 2*w, -22 = -4*y + 2*w. Solve q = -5*o + 2*o + y for o.
2
Let u(a) = 2*a**2 + 3*a - 4. Let v be u(-3). Let t be ((-8)/(-2))/4*-1 - -1. Let y be v + 3 - (t - -3). Solve y*o + 9 = -16 for o.
-5
Let i = 26 + -24. Suppose 5*r - i*r - 10 = -2*f, 5*f = -3*r + 25. Let q be 8/12*-3 + f. Solve 0*c + c - q = 0 for c.
3
Let c(a) = a - 10. Let m = -2 - -18. Let u be c(m). Solve 3*q + 0 - u = 0 for q.
2
Suppose 2 + 0 = 2*t. Suppose 0 = -2*s + t + 7. Let q(n) = 5*n**2 + 5*n - 98. Let m be q(-5). Solve 0 = -m*x + 3*x + s for x.
-4
Let n be ((-280)/50 - -6)/(1/25). Let p = -9 + 3. Let f = p + n. Solve 12 = -f*x - 0*x for x.
-3
Let j be (6/4 + -1)*0. Suppose 5*m = -j*m + 25. Suppose -5*n + 3*s + 4 = 0, -m*n = s - 9 - 3. Solve -n*k - k = 0 for k.
0
Let a = 56 - 51. Suppose a*b + 4*f - f = 22, 5*f - 18 = b. Solve -b*u = -0*u + 4 for u.
-2
Let i(d) = -d**2 + 29*d + 351. Let z be i(-9). Solve -z*j = 1 + 8 for j.
-1
Suppose 4*b + 4*g = -20, 0 = -3*b - 0*g + 4*g + 13. Let o be b*(-2)/4*6. Solve -6*r + 6 = -o*r for r.
2
Suppose -7*o = -12*o - q + 190, 3*o + 4*q = 114. Solve 33*x - o*x - 5 = 0 for x.
-1
Suppose 0 = q + 2*q + 24. Let l(j) = -j - 4. Let i be l(q). Let t(w) = 26*w - 491. Let k be t(19). Solve i*o - o - k = 0 for o.
1
Let g be (-75)/(-27) + (-4)/(-18). Let y(w) = -6*w**2 - 526*w - 326. Let n be y(-87). Solve 5*f - n - g = 0 for f.
5
Let v = -43 - -20. Let z = 36 + -53. Let c = z - v. Solve -2*u = -c*u + 4 for u.
1
Let q(y) = y**3 - 12*y**2 + 39*y - 9. Let d be q(6). Solve 0 = 20*h + d - 69 for h.
3
Let q = -84 + 95. Suppose -15 = -3*n + 2*r + r, 0 = 3*n + r - q. Solve -j - n = -2 for j.
-2
Suppose -4*o + 30 = -5*x, o - 3*x + 4 = 3*o. Suppose 3*q = -z + 2, -2*q = -o*z - q + 42. Suppose 0 = -z*h + 6*h + 10. Solve -3*t + 1 = -h for t.
2
Let i(z) = -z**2 - 2*z + 17. Let v be i(-9). Let p = v - -48. Solve -p*s = s for s.
0
Let g be 23/7 + 8/(-28) - 1. Solve -g*c + 7 - 3 = 0 for c.
2
Let u(w) = w**3 - 4*w**2 - 46*w. Let g be u(-5). Solve -3 = g*l - 2*l for l.
-1
Suppose -2*h + 7 - 7 = 0. Let p be ((-10)/(6 - 1))/(-1). Solve h*g = p*g + 4 for g.
-2
Let k be -2 + 6 + (-1 - -2). Suppose 3*b = -5*q + 171, -k*b + 57 = -q + 3*q. Solve q - 11 = 5*d for d.
5
Let m be (5/(-2))/((-2)/4). Let l(k) = 21*k**2 - 483*k + 3. Let c be l(23). Solve 6 = m*g - c*g for g.
3
Let q be (-3)/12 - (-111)/12. Let f(b) = 3 - q - 5 - 2*b + 3*b. Let p be f(12). Solve -u = -0*u + p for u.
-1
Let t(c) = 5*c**2 + 5*c + 2. Let d be t(-2). Suppose -d*g = -7*g - 45. Solve 10*j - g*j = -4 for j.
-4
Let t be 1/(((-3)/(-9))/((-14)/(-6))). Suppose -2*z + 2*u - 43 = -5*z, 5*z + u = 67. Let w = z - t. Solve 4 = 5*m - w for m.
2
Let h = 47 - 35. Let k be (-32)/h*(-3)/4. Solve k - 4 = n for n.
-2
Let a(p) = -p**3 - 26*p**2 - p + 14. Let y be a(-26). Solve 5*b = -3*b - y for b.
-5
Let d(b) = -4*b**2 - 7*b + 2*b**3 + 14*b - 3*b**3 + 3. Let z be d(-5). Let t(h) = -2*h - 9. Let s be t(z). Solve -5 = -s*u + 20 for u.
5
Let w be 6 + (-10 - -2) + 6. Solve 17 - 1 = w*m for m.
4
Suppose 0*s + 2*s = 4*f + 30, 50 = 4*s - 3*f. Solve s*r - 13*r + 2 = 0 for r.
1
Let t(f) = -4*f - 1. Let u be t(-2). Let b = 11 + -10. Let q(w) = -3*w + 3. Let z be q(b). Solve z = -2*o + u*o for o.
0
Let v(f) = f**2 + 3*f - 24. Let o be v(4). Solve 0 = -o*q - 19 + 3 for q.
-4
Suppose 5*d = 4*u - 49, 5*d = -13 - 12. Suppose u*w = w + 5. Suppose -2 + 12 = 2*s. Solve w - 6 = -s*f for f.
1
Let g be 2/9 - (-1 - 10/(-45)). Let v be (g/3)/((-7)/(-42)). Solve -v*l - l = -12 for l.
4
Suppose 4*q = -3*z - 3, 2*q + 12 = 5*z + 43. Let m be 3 + (-1 - (z - -3)). Solve -m*y + 3 + 1 = 0 for y.
1
Let w(a) be the third derivative of a**5/20 + a**4/8 + a**3/6 - 6*a**2. Let k be w(-2). Solve 16 = -k*v + 3*v for v.
-4
Suppose 0 = -4*m - 5*u + 25, 3*m - 21 = -5*u + 4. Let d = -77 - -77. Solve m = -2*t - d*t + 4 for t.
2
Let v be 4/28 + (404/14 - -3). Solve 5*o + v = 13*o for o.
4
Let t be (10 - 3) + (-2)/1. Suppose i - 2*x = -t, 0 = -x + 5 - 0. Suppose -2*d = -3*c + 4, -d = -3*c + i*c - 5. Solve -4*v + 5*v = -c for v.
-2
Let h(b) = -3 - 32*b + 9*b + 12*b + 10*b. Let m be h(-6). Solve -20 = -m*g - 5 for g.
5
Let p be (4 + 0)/4*3. Suppose -p*b - 5*j + 3*j = 5, 0 = -2*b + j + 6. Solve b + 14 = 5*q for q.
3
Suppose -5*z + 6 = -2*h, 3*h = -2*z + 2*h + 6. Solve -13 = -z*l - 5 for l.
4
Suppose 0 = -3*o - 346 + 511. Solve -55 = -3*w - o for w.
0
Suppose 0 = 1
|
{
"pile_set_name": "DM Mathematics"
}
|
0 = 5*r - n*b - 19, 16 = 7*r - 3*r - 4*b for r.
3
Let h be ((-104)/32)/(1/(-4)). Suppose h*j = 18*j - 25. Solve -c = j*z - 6 - 23, -4*z + 8 = -3*c for z.
5
Let k(s) = 2*s**2 - 2. Let j be k(-3). Let n be (-13)/4 - (-4)/j. Let q be (-14)/n - 3/(-9). Solve -14 = -3*a + 3*p - 5*p, q*a + p - 21 = 0 for a.
4
Suppose 93 = 5*p + 83. Solve q - 4*q = p*c - 6, 0 = 5*q - 2*c - 26 for q.
4
Let f = 138 + -134. Let x(j) be the first derivative of j**4/4 - j**3 - 2*j**2 + 5*j + 1. Let r be x(f). Solve 5*p + 5*z = -r, p - 1 = -4*z - 5 for p.
0
Let x = -14 + 14. Suppose x = 2*t + 2 - 6. Suppose t*l = 6*l - 12. Solve 12 = -4*j + 4*r, -l*j + 4 = -2*r + 9 for j.
1
Suppose 15*p = 19*p + 31*p. Solve -9 = 5*r + s - 3, p = -2*r - 2*s - 4 for r.
-1
Let s = -1 - -5. Suppose s*a = a + 12. Solve o + 0*o = w, w = a*o + 6 for w.
-2
Suppose 11*m + 10*m = -0*m. Solve 0 = -l - i, 4*i = -2*l - m*i + 4 for l.
-2
Let h be -1 - -3 - 0 - -2. Suppose 5*t + 2 - 3 = -3*l, 5 = 3*l + h*t. Solve -4*w = -2*k + 26, 0 = -2*k + l*k - 4*w - 41 for k.
5
Let c = 7 + -4. Let k(h) = 5*h**2 - 44 - 8*h - 4*h**2 + 0*h**2 + 39. Let t be k(9). Solve -t*z - 5*x = 4 + 9, -c*z = -5*x - 34 for z.
3
Suppose -5*g = 4*b - 16, 3*b - 5*b - 3*g = -8. Solve -2*w + 2 = -b*o, 5*o + 0*w + 3*w + 19 = 0 for o.
-2
Suppose s + s - 4 = 0. Let a(b) = 2*b**2 + 5*b + 1. Let v be (-38)/247 - (-2 - 189/(-39)). Let x be a(v). Solve x*z + 2 = -5*j, s = 4*j + 5*z - 0 for j.
-2
Let j(h) = -h**3 + 4*h**2 + 21*h - 50. Let y be j(6). Solve -7*s + 3*s = -t, 4*s = -y*t + 20 for t.
4
Suppose -5*r - 10 = 3*t, 5*r = 4*t - 22 - 23. Solve 1 = 3*h - t*o + 14, 3*h + 3*o - 27 = 0 for h.
4
Suppose 5*x - 21 + 1 = 0. Suppose -x*l + 0*l - 5*j = -81, 0 = -3*l + 2*j + 55. Solve 0*u + l = 3*y - u, 4*y = -2*u + 12 for y.
5
Let f be (1 + 11)*(-1)/(-4). Solve m = 3*l + 3, 6 = 3*m - f for l.
0
Let w(f) = f**3 + 19*f**2 + 2*f + 4. Let p be w(-19). Let y = 54 + p. Solve 3*i = -4*z - 4, -4*i + 0*i = -z - y for i.
4
Let s = 72 - 42. Let n = -30 + s. Suppose n = -2*z - 3*z + 10, 106 = 4*i + 3*z. Solve -8*u + 3*u + 2*f - 25 = 0, -f - i = 5*u for u.
-5
Let c be ((-35)/(-25) - -2 - 3)*5. Solve b = 2, v - c = 6*v - b for v.
0
Suppose 4*s - 2*s = -2, 0 = -3*z + 5*s - 22. Let c(o) = -o**3 - 2*o**2 + 6. Let j be c(-4). Let d = j + z. Solve 3*x - 18 - 5 = -4*m, 0 = 4*x + 5*m - d for x.
1
Let k = 1 + -1. Let v be (k - -2) + (-8 - -19). Suppose 1 + 5 = 2*o, 0 = -4*z + o + v. Solve -w + 17 = 3*t, -z*w + 3 + 10 = t for t.
5
Suppose -13*n + 258 = -7*n. Let d = 45 - n. Solve -3*b + 1 + 9 = 2*h, 0 = -5*h + d*b - 13 for h.
-1
Let a be (-204)/(-153) - 22/(-6). Solve 4*p + a*i - 2 = 0, -3*i - 8 = 2*p - 5*i for p.
-2
Let x(r) = r**2 + 30*r + 239. Let k be x(-11). Solve 5*y = -a + k, 6*a - a = -2*y + 35 for a.
5
Let c = -18 - -21. Suppose 7*m - 2 = 26. Solve 4*w = c*k - 8, 16 = m*w + 2*k + k for w.
1
Let x(t) = t**2 - 13*t. Let z be x(13). Let g be z*((-6)/4 + 2). Solve a + 4*o - 15 = g, -2*o = 4*a + 13 - 3 for a.
-5
Suppose -7*a - 19*a = -18*a. Solve -j - 4*d + 5 = a, -5*j - 5*d + 14 - 4 = 0 for j.
1
Let n = -26 + 17. Let r(j) = -14 - 3*j + 5 - 12. Let i be r(n). Solve -2*c - 2 = -5*t + 1, 3*t = -3*c + i for t.
1
Suppose -5*m + 65 = 20. Let y = -9 + m. Let z(t) = t**3 + 3*t**2 - 4*t - 7. Let h be z(-3). Solve 0 = 3*i - 3, -3*c + 4*c + h*i - 9 = y for c.
4
Let g be 18/8 - 3/12. Suppose -2*a = -5*k + 28, a = 4*k + 2*a - 12. Solve -w - 3 = z - 1, k*z = -2*w - g for z.
1
Let u(o) = -o**3 - 5*o**2 + 28*o + 133. Let m be u(-4). Solve -11 = -3*y - 2*j + 6*j, m*y + 3*j = 28 for y.
5
Let d = 24 - 24. Suppose -2*c + 21 + 9 = d. Suppose h + 4 = -h, w = 4*h + 33. Solve 2*o - l - c = 0, -3*o + 2*l + 0*l + w = 0 for o.
5
Let v be (2 + 4)/(-2 - 10/(-8)). Let p(m) = 5*m + 46. Let g be p(v). Solve d - 3*h = -h + g, -2*d = -2*h - 10 for d.
4
Suppose -6*z + 5*z = 23. Suppose -o + 4*x = -35, -o + 19 = -3*x - 14. Let h = z + o. Solve 0 = -h*a + 3*a + 3*m - 10, 0 = 5*m - 15 for a.
-1
Let t be (-3)/30 + (-510)/(-100). Solve 2*m = 2*x + 5*m - 14, 6 = -x + t*m for x.
4
Suppose -4*t + 3*a + 39 = 0, -2*t + 0*t + 32 = -4*a. Suppose -t*c + 15 = -3*c. Solve -p + 4 = 5*n - 1, 4*p = c*n + 20 for p.
5
Suppose 20*u - 39 = 7*u. Solve 2*m - 23 = -0*m + u*f, 3*f - 5 = -5*m for m.
4
Let j be 8 + -11 - (-20)/4. Solve -2*r + 0*r + 2 = -2*g, -5*r - 23 = j*g for g.
-4
Let x = -74 + 36. Let n be (x/3)/((-6)/36). Let b be (-1)/4 + 627/n. Solve y = 2*l + b, 3*y + 1 = 5*l - 4*l for y.
-2
Let x = 283 - 280. Solve 5*c - 2*o + 12 = -1, 4*o = -x*c + 13 for c.
-1
Let f(u) be the third derivative of u**4/8 + 5*u**3 - 7*u**2. Let t be f(-9). Solve -t*k = w - 8*k + 17, 0 = w + 3*k - 15 for w.
3
Let q be -2*3/6 + 10. Let o be (-4)/((7 + -1)*(-3)/q). Solve -2*i = o*i + c, -3*i = -c for i.
0
Let a(b) = b**2 + b + 2. Let c be a(-2). Let k(i) = 25*i - 612. Let j be k(25). Solve -t + 27 = 5*w + 11, 3*w + c*t - j = 0 for w.
3
Let b(v) = 7*v - 282. Let l be b(41). Suppose 5*q = 3*a - 24, 5*a + 2*q - 6 = 3. Solve -5*y - l*i = -a*y - 33, -2*i = 5*y - 30 for y.
4
Let p(o) = o**2 - 5*o + 8. Let b be p(6). Let a = 18 - b. Solve -a*u = 2*j - 14, j = 3 - 2 for u.
3
Let v(n) = -n**2 + 19*n + 25. Let b be v(19). Suppose b = -r + 6*r. Solve -3*z - r*t - 5 + 0 = 0, -5*z = 2*t + 21 for z.
-5
Suppose 35*t = 39*t. Solve t = 2*v - 5*l + 4 - 1, -4*v - l = 17 for v.
-4
Let f(s) = -8*s**2 + 5*s + 3. Let t be f(4). Let q = t + 110. Solve -20 + q = -c - 5*x, -x + 3 = c for c.
0
Let y = 314 + -311. Solve y*a + 8 = 2*x - 0*x, -8 = -2*x - 4*a for x.
4
Suppose -22 = -69*m + 65*m - 2*z, -3*m + 21 = -3*z. Suppose 7*h = 2*h. Solve -5*i - 4*t - 9 = h, -5*i = m*t - t + 5 for i.
-5
Let v be (10/40)/((-1)/(-8) - 0). Solve 0*w + 2*m = -2*w - v, 6 = -4*w - 5*m for w.
1
Suppose -x + 3*u - 1 = 0, u + 9 = -2*x + 14. Suppose 3*s = 4*s + 1. Let q = 9 + s. Solve -5 - 11 = 2*n + 5*g, 4*n = x*g - q for n.
-3
Let i = -20 + 25. Suppose -h + 10 = -3*f - i*h, -3*h - 4 = 4*f. Suppose -2*n + v = -4*n + 9, -f*n - 1 = 3*v. Solve 2*x - y = -8, -x = 2*y + 2 + n for x.
-5
Suppose -2 = 3*s - 68. Suppose -10 + s = 3*j. Solve 5*t + 14 + 11 = 5*r, t = j*r - 20 for t.
0
Let r = 173 - 275. Let l = r - -282. Suppose -5*d - d = -l. Solve -v = -3*m + 2*v + d, 0 = 2*m - v - 15 for m.
5
Let u(v) = -2*v**2 - 7*v - 4*v**2 - 3*v + 18 + v**3 + v. Let k be u(7). Solve -k*o - 40 = 4*l, 11 = -5*o + l - 9 for o.
-5
Let f(v) = 18*v**2 + 10*v + 11. Let c be f(-1). Solve 0 = 3*m + 3*i + 3, 2*m - 3*i = -6 + c for m.
2
Let t = -873 + 876. Let s = 8 - 5. Suppose s*g - 2*g = 9. Solve 3*w - 13 = 3*a - 4, g = -t*a - 5*w for a.
-3
Let i(l) = -l**2 - 3*l + 14. Let c be i(-5). Let w be c + (-2 - -4) + -3. Solve -5*a = 3*g + 10, -4*g = -w*g for a.
-2
Let d = 82 - 82. Let p be 2/(-5) + d + (-17)/(-5). Solve 1 = -p*g + 5*z + 10, 6 = 2*g + 4*z for g.
3
Let l be 288/24 + 1*-10. Solve s = 2*t + l*t - 10, -5*t = 5*s for t.
2
Let f(d) = 60*d + 1. Let a be f(2). Suppose 18*w - 7*w = a. Solve -2*n - w = -c, -3*n + 2*c - 14 = -n for n.
-4
Let i(m) = 3*m**2 - 2*m + 6. Let o be i(2). Suppose 5*x = 4*r + 4*x - 3, -3*r = -4*x + o. Solve -14 = -w - 2*w - 5*l, 0 = r*w + 2*l - 4 for w.
-2
Suppose 3*l - 7 = -1. Suppose 10*t - 8*t - 2 = 0, 6 = h + 2*t. Solve -9 = w - l*w + b, b = -h for w.
5
Let v(w) be the second derivative of w**4/12 - 5*w**3/2 - 7*w**2 + 12*w. Let q be v(16). Suppose 10*u - 5*u = 0. Solve q*a = 2*l - 6, -4*l + u*l = 0 for a.
-3
Let f be ((-3)/(-2))/((-39)/(-182)). Suppose z - f = -a, -2 = a - 3*z + 11. Solve 1 = -a*c - 1, 0 = -o - 5*c - 6 for o.
-1
Suppose 0 = z - 2*z. Let v(g) = g**2 + 6*g + 2. Let l be v(-7). Suppose l = r + 6. Solve 0 = 3*c - 5*n + 11, -c + z*n = -r*n + 9 for c.
3
Suppose -5*d - 1 = 4*h, d - 3*d + 18 = -3*h. Solve 11 = f - 5*t, f = -d*f - 3*t - 2 for f.
1
Let i be -12*(57/(-6))/1. Let w = i - 109. Solve -3*t = -3*b - 10 + 1, -w*t + 19 = -3*b for t.
5
Let j = -256 - -301. Solve 5*a + j = -5*f, f + 2*a + 12 + 1 = 0 for f.
-5
Let k(r) = -r**2 + 5*r - 4. Let v be k(4). Suppose 0 = 2*j - v*x - x + 2, 5*j + 2*x + 5 = 0. Let b = 9 + j. Solve -4*q = 2*n + b, -q + 4*n = q - 6 for q.
-1
Let j(v) = -3 + 3 + v**2 - 8 + 3 + v. Let r be j(-3). Solve 0 = -5*y + 4*y + m + r, -2*m = -5*y + 2 for y.
0
Suppose 0 = -17*s + 13*s + 20. Solve -21 = -s*a - 3*o, a - 5*o - 2 = -3*a for a.
3
Let u = -2828 - -2835. Solv
|
{
"pile_set_name": "DM Mathematics"
}
|
, what is 11 - 202201?
-202120
In base 6, what is -5 - 3315?
-3324
In base 15, what is ad - 5?
a8
In base 11, what is 1 - 16?
-15
In base 12, what is -2 - 156?
-158
In base 4, what is -2 + -20012?
-20020
In base 8, what is 0 - -22?
22
In base 7, what is 21 - -1002?
1023
In base 15, what is -489e - 3?
-48a2
In base 9, what is 517 - 8?
508
In base 9, what is -40 - 22?
-62
In base 2, what is -101110 - 1?
-101111
In base 10, what is -112 - 50?
-162
In base 6, what is -12134 - -4?
-12130
In base 5, what is 110 - -111?
221
In base 11, what is 6 - -23?
29
In base 6, what is -4 + -201?
-205
In base 7, what is 12 + 135?
150
In base 4, what is 0 - 1030032?
-1030032
In base 10, what is -4 + 507?
503
In base 16, what is -5 + -5?
-a
In base 8, what is 7 + 36?
45
In base 13, what is 12 - -26?
38
In base 9, what is 133 - 16?
116
In base 14, what is 1 + 493?
494
In base 5, what is -10 - -21443?
21433
In base 13, what is 11 + -15?
-4
In base 12, what is -5 - -307?
302
In base 15, what is -1de + 0?
-1de
In base 2, what is 11110000 + 11?
11110011
In base 11, what is -5 - 684?
-689
In base 12, what is -529 + -4?
-531
In base 9, what is -2 - 5?
-7
In base 3, what is 10 - -1022?
1102
In base 9, what is 245 + -47?
187
In base 15, what is -1b19 - -5?
-1b14
In base 5, what is 2 + 11?
13
In base 4, what is -22 - -11?
-11
In base 13, what is -4 + 5a3?
59c
In base 11, what is -138 - -4?
-134
In base 4, what is -10130 - -11?
-10113
In base 12, what is 493 + 4?
497
In base 7, what is 1 - -12241?
12242
In base 10, what is -320 - -6?
-314
In base 6, what is -1 - 122?
-123
In base 15, what is -1c28 + 3?
-1c25
In base 4, what is -2122 + 21?
-2101
In base 3, what is 11 + 22?
110
In base 13, what is 4 - 20?
-19
In base 5, what is 4 + -143?
-134
In base 9, what is 0 - -47?
47
In base 11, what is -30 - -559?
529
In base 8, what is 16435 + 2?
16437
In base 13, what is 7 - -34a?
354
In base 2, what is -1001 - -1100100011?
1100011010
In base 14, what is -2 + -7a0?
-7a2
In base 16, what is 4 + -ac?
-a8
In base 15, what is -1 - 2e?
-30
In base 6, what is 1223 + 5?
1232
In base 14, what is -26 + -c?
-34
In base 9, what is 3 + -153?
-150
In base 7, what is 16 - 3?
13
In base 5, what is -3124 + -3?
-3132
In base 13, what is 66 + -16?
50
In base 4, what is 3 - -10310?
10313
In base 4, what is -10 + -1321?
-1331
In base 15, what is 292 - 5?
28c
In base 5, what is 112 - 30?
32
In base 2, what is -10011000100 - -1?
-10011000011
In base 13, what is 3 + c2?
c5
In base 5, what is -10 - 1?
-11
In base 6, what is 2 - -5431?
5433
In base 4, what is 1002100 + -1?
1002033
In base 2, what is 1001101011 - 1?
1001101010
In base 15, what is 54d + -3?
54a
In base 3, what is -10 - -10?
0
In base 10, what is 8 + 1705?
1713
In base 2, what is 100 - 10000101101?
-10000101001
In base 6, what is 2 - 203?
-201
In base 9, what is 145 + -50?
85
In base 8, what is -123 - 0?
-123
In base 13, what is 1 + 3?
4
In base 9, what is -3 - -46?
43
In base 15, what is 14 - -65?
79
In base 12, what is -5 - -b9?
b4
In base 7, what is 240 + 3?
243
In base 10, what is -36 - 14?
-50
In base 3, what is -11 + -20020020?
-20020101
In base 13, what is 41ab + 5?
41b3
In base 8, what is -1 + -741?
-742
In base 14, what is 368 - -14?
37c
In base 4, what is 11 - 11301?
-11230
In base 3, what is 120112 + 1?
120120
In base 14, what is -2 + 1bc?
1ba
In base 11, what is 3 - -117?
11a
In base 2, what is -101000 + 11000?
-10000
In base 14, what is -14 + -19d?
-1b3
In base 9, what is 8 - 23?
-14
In base 2, what is 10 + 11110?
100000
In base 10, what is 19 + -106?
-87
In base 11, what is 4 - -a9?
102
In base 10, what is 1057 - 1?
1056
In base 5, what is 20314 - -1?
20320
In base 8, what is 737 + 7?
746
In base 12, what is 177 - 7?
170
In base 5, what is 0 - 3332?
-3332
In base 14, what is -2a - 4?
-30
In base 3, what is -101102 - 11?
-101120
In base 15, what is -12d - 0?
-12d
In base 2, what is 111001100 - 100?
111001000
In base 15, what is -29 + 2?
-27
In base 16, what is -11f - -21?
-fe
In base 16, what is 3 - -39?
3c
In base 12, what is -5 + -3bb?
-404
In base 5, what is -11 - -42?
31
In base 5, what is 2310 + 2?
2312
In base 5, what is 1242 - 10?
1232
In base 6, what is 23 + -4450?
-4423
In base 4, what is -12232 + -2?
-12300
In base 4, what is 2 - -10301?
10303
In base 6, what is 1442 + 2?
1444
In base 7, what is -14303 - -2?
-14301
In base 3, what is -12 - 1210201?
-1210220
In base 16, what is 3515 - 4?
3511
In base 8, what is 175 + -2?
173
In base 12, what is 12 - -124?
136
In base 16, what is -b - -6?
-5
In base 9, what is -25710 - -4?
-25705
In base 16, what is 3 + -151?
-14e
In base 4, what is 10 - -222?
232
In base 12, what is -6 - -1279?
1273
In base 4, what is -10 - -1310?
1300
In base 10, what is -61 + 1?
-60
In base 13, what is 5 + -175?
-170
In base 12, what is -5a - 1?
-5b
In base 14, what is -3 + -20cb?
-20d0
In base 6, what is 50 - 5232?
-5142
In base 16, what is 1e7 + -2?
1e5
In base 2, what is 1011 + 1001110101?
1010000000
In base 8, what is 200 + -11?
167
In base 5, what is -1012033 + -4?
-1012042
In base 11, what is 7 - 18?
-11
In base 10, what is 33 + -2?
31
In base 3, what is 1102112112 + 12?
1102112201
In base 16, what is -12b - 3?
-12e
In base 8, what is -4 - 63?
-67
In base 4, what is 3 - -10?
13
In base 13, what is 5 - -3b?
43
In base 11, what is -3 + 18?
15
In base 5, what is 0 + 220?
220
In base 4, what is 1300 + 3?
1303
In base 8, what is 44 + -102?
-36
In base 2, what is 1101001000001 - 101?
1101000111100
In base 15, what is d8a + 5?
d90
In base 2, what is 10101 + -110101?
-100000
In base 8, what is 260 + 5?
265
In base 4, what is 3 + 12213?
12222
In base 4, what is -12302 - 111?
-13013
In base 3, what is -110 + -20?
-200
In base 16, what is 2c0 + -2?
2be
In base 13, what is -17 - -6?
-11
In base 4, what is 11 - -13?
30
In base 6, what is -1 + -45?
-50
In base 11, what is 40 + 3?
43
In base 12, what is -149 + -36?
-183
In base 5, what is 224 + -2?
222
In base 13, what is -b0 + 1?
-ac
In base 9, what is -71 + 21?
-50
In base 3, what is 12 - -1012?
1101
In base 10, what is -525 - 20?
-545
In base 13, what is 9 - 38?
-2c
In base 15, what is 5965 + 3?
5968
In base 16, what is -1 - 530?
-531
In base 12, what is 2 + 13?
15
In base 11, what is -42 + -2?
-44
In base 13, what is 5 + -4c4?
-4bc
In base 4, what is -31 + -102?
-133
In base 3, what is -21200 + -10?
-21210
In base 16, what is -3 - 7f2?
-7f5
In base 10, what is -8 + 1161?
1153
In base 15, what is d + -37?
-29
In base 15, what is 3 - 6d?
-6a
In base 16, what is f5c - 5?
f57
In base 12, what is -2 - 131?
-133
In base 14, what is 14 + 31?
45
In base 13, what is 7 + -b?
-4
In base 7, what is 22 + 3013?
3035
In base 3, what is 111021 - -1112?
112210
In base 10, what is -73035 - 4?
-73039
In base 7, what is 466 - -4?
503
In base 4, what is 101 + 10122?
10223
In base 11, what is 37 + 4?
40
In base 5, what is -3 + 1043?
1040
In base 13, what is 3b5 + 1a?
402
In base 14, what is 68 - -1?
69
In base 8, what is 1542 + 1?
1543
In base 6, what is -1534 - -12?
-1522
In base 3, what is 10 + 1110?
1120
In base 4, what is 202 - 0?
202
In base 4, what is -23 + -22?
-111
In base 2, what is 10100100011 - 1111?
10100010100
In base 3, what is -12110 - 20?
-12200
In base 11, what is -2725 - 1?
-2726
In base 7, what is 4 + 3445?
3452
In base 10, what is 6 - -2811?
2817
In base 14, what is 5 + 85?
8a
In base 16, what is -4be + 0?
-4be
In base 9, what is 336 - 1?
335
In base 9, what is -3 + -60?
-63
In base 16, what is 5 - e45?
-e40
In base 11, what is 1244 + 5?
1249
In base 15, what is 0 - 1c5?
-1c5
In base 13, what is -2b8a + 3?
-2b87
In base 8, what is -16 + -4?
-22
In base 12, what is -2898 - 5?
-28a1
In base 4, what is -11 - 311323?
-312000
In base 16, what is 229 - -5?
22e
In base 5, what is 4 - -131?
140
In base 8, what is -33 + 4?
-27
In base 7, what is -36 + 14?
-22
In base 4, what is -1 + -332011?
-332012
In base 10, what is -2 + 295?
293
In base 14, what is -4 + d19?
d15
In base 13, what is -5a + 2?
-58
In base 2, what is -10 - 1001100?
-1001110
In base 8, what is 132 - 225?
-73
In base 8, what is 70 - -31?
121
In base 11, what is -712 + 2?
-710
In base 8, what is -2 - 215?
-217
In base 14, what is 114 - 1?
113
In base 11, what is -71 - -1?
-70
In base 10, what is -5 - -
|
{
"pile_set_name": "DM Mathematics"
}
|
e product of -842 and 0?
0
Work out -54.9 * 0.1.
-5.49
Work out -0.2 * -189.
37.8
Multiply -0.3 and 3.3.
-0.99
Product of -6 and -1922.
11532
What is 4 times -10.9?
-43.6
What is the product of -108 and 0.06?
-6.48
-1079 * 3
-3237
Product of 114 and 0.17.
19.38
Product of 580 and 0.6.
348
Multiply -299 and 1.8.
-538.2
0.59 * 0.1
0.059
Work out -0.3 * 418.
-125.4
-3*-1583
4749
What is -149 times 0.04?
-5.96
241 * 0.3
72.3
-1409*1
-1409
Product of 4 and -24.
-96
-0.7299*-4
2.9196
-11.3*-16
180.8
Work out 135 * 19.
2565
3.714 * 5
18.57
What is the product of -5 and -0.4?
2
Calculate -0.266*5.
-1.33
Calculate -0.02*-1.
0.02
What is the product of -0.3 and 2.02?
-0.606
0.631 times -1
-0.631
-9.1 times -0.29
2.639
-0.00591 * -0.5
0.002955
Calculate 4*115.
460
0.296*-23
-6.808
Work out 0.2 * 0.052.
0.0104
Work out -0.04 * -289.
11.56
What is the product of 0 and -17?
0
Product of -1221 and 0.
0
Product of -69 and -0.3.
20.7
Multiply -100 and -0.1.
10
Work out -9.7 * 0.4.
-3.88
Calculate 0.3*984.
295.2
What is the product of 2 and -2.08?
-4.16
What is -0.087 times 4?
-0.348
What is the product of 0.1 and 0.89?
0.089
5 times -195.9
-979.5
Multiply -2 and 2.11.
-4.22
Calculate -3*-76.
228
-3*0.55
-1.65
Multiply 19 and 0.3.
5.7
Work out 1 * 931.
931
112 * -0.4
-44.8
Product of 0.174 and 0.1.
0.0174
What is the product of 0.94 and 0.1?
0.094
Work out 1 * -1.33.
-1.33
Multiply 2.608 and 0.5.
1.304
Work out 869 * 0.06.
52.14
What is the product of 3 and 1233?
3699
Multiply 3 and -0.61.
-1.83
Product of -1.594 and 0.
0
Calculate -29*-0.44.
12.76
Multiply -0.1 and 72.
-7.2
8.5 times 0.9
7.65
Product of 0.191 and 0.5.
0.0955
Product of 11 and -1.43.
-15.73
-5 * -0.071
0.355
Work out -3 * 12.
-36
What is -6 times -3.24?
19.44
What is the product of 1 and -3.3?
-3.3
-41 * 6.6
-270.6
Calculate 0.05*8.
0.4
Multiply -22 and -13.7.
301.4
-5 * -2.546
12.73
0 * 107
0
6*-73
-438
Work out 5.333 * 0.3.
1.5999
Product of -0.1 and 0.37.
-0.037
What is -0.3 times -36?
10.8
-1.63*3.3
-5.379
Work out 586 * -0.11.
-64.46
Calculate 5*154.
770
Work out 11.9 * -4.
-47.6
Work out 0.3061 * 4.
1.2244
Work out -3 * -1.2.
3.6
Calculate -203.3*0.5.
-101.65
Calculate 4*-73.3.
-293.2
What is -19 times 0.05?
-0.95
Calculate 2.1*0.1.
0.21
What is -0.34 times 2?
-0.68
Product of 4 and -0.059.
-0.236
What is the product of -2 and 75?
-150
Multiply 0.4364 and 0.2.
0.08728
Multiply -3 and -252.
756
What is 1231 times 5?
6155
Calculate -0.4*185.
-74
Calculate 0.5*285.
142.5
3*-782
-2346
456*3
1368
Product of 0.2 and -8.
-1.6
Multiply -0.04365 and 0.2.
-0.00873
Multiply -2.5 and -0.2.
0.5
-0.14*-3
0.42
Work out -4593 * 0.3.
-1377.9
Product of 0.052 and -3.
-0.156
0.61 * -0.4
-0.244
Work out -1.3 * -61.
79.3
0.04 times 3.09
0.1236
Product of -393.5 and -0.3.
118.05
Work out -12.37 * -4.
49.48
Work out -0.4 * -2232.
892.8
Multiply -1.8278 and 0.4.
-0.73112
Work out -0.5 * -1035.
517.5
What is 18 times -53?
-954
-0.5*-97
48.5
What is -2 times -0.002?
0.004
-1*7303
-7303
Calculate -21*-2.6.
54.6
-0.04*-0.02
0.0008
Product of 3 and 24.4.
73.2
0.8 times -31
-24.8
What is 11 times -9?
-99
-476 times -3
1428
Work out 2 * -0.0164.
-0.0328
Product of -0.029 and -1.34.
0.03886
What is -4 times 1411?
-5644
0*54
0
What is -0.0132 times 0.3?
-0.00396
What is -0.5 times 96?
-48
3.1*-35
-108.5
Work out -3 * -6.652.
19.956
What is -5 times -2.3?
11.5
Multiply 240.2 and 0.
0
Calculate 12*414.
4968
-13 times -15
195
Calculate 1*-5.4.
-5.4
0.03 times 1242
37.26
4 * 82
328
Multiply -268 and -0.2.
53.6
0.035*-0.033
-0.001155
What is the product of 0.047644 and -0.3?
-0.0142932
-0.143 * 0.05
-0.00715
Product of 10 and 7.03.
70.3
Product of -0.12 and 0.5.
-0.06
-156 * -0.7
109.2
What is -3 times -717?
2151
-0.022*-3
0.066
-1.07 * -3
3.21
Multiply -258 and -1.8.
464.4
-3837*-0.4
1534.8
Work out -4 * -3.4.
13.6
Multiply 0.5 and -89.6.
-44.8
0 * 3.491
0
-0.4 times -0.036
0.0144
2050.4 * -0.3
-615.12
-12.736 times 0.3
-3.8208
-0.1*-2.2
0.22
What is the product of 0.1 and 785?
78.5
Multiply 12736 and -0.1.
-1273.6
-0.1*30
-3
-0.1*82.2
-8.22
Calculate -0.1*-0.2.
0.02
2.3 times -16
-36.8
What is 0 times -29.9?
0
53.2*-0.29
-15.428
0.1*0.009
0.0009
9 * -0.41
-3.69
Multiply 0.6 and -0.2.
-0.12
Product of 0.2 and 0.0463.
0.00926
What is -0.26 times 6?
-1.56
What is the product of 5 and -295?
-1475
-41*-0.8
32.8
-1.4 times -3
4.2
Product of -0.1 and 0.202.
-0.0202
-0.18925 times 0.4
-0.0757
What is 63.9 times -7?
-447.3
What is the product of 3 and 81?
243
Work out -270 * -4.
1080
5.62 times -0.6
-3.372
32*105
3360
-5 * 0.345
-1.725
-3.2*-4
12.8
Calculate -2.5*-10.
25
20 times -5
-100
-5*536
-2680
What is 6.32 times 0.06?
0.3792
Product of -36 and 0.2.
-7.2
-2 times 61
-122
0.79 times -0.1
-0.079
5 * -6.936
-34.68
What is -23 times 0.114?
-2.622
What is the product of -1.19 and 5?
-5.95
Multiply -87 and -3.
261
What is -433 times -0.4?
173.2
Product of -0.4 and 141.2.
-56.48
What is 3 times 5.6?
16.8
Calculate 3*0.217.
0.651
-4 times 1910
-7640
-0.16 times -29
4.64
0.3*-530
-159
-0.06*108
-6.48
Product of 130 and -2.
-260
What is the product of -1414 and -0.4?
565.6
What is the product of -0.5 and -0.0934?
0.0467
What is -0.678 times 1?
-0.678
0.1 times -18
-1.8
Work out 0.5 * 2.4.
1.2
Calculate 0.0085*-49.
-0.4165
Multiply -1922 and 0.
0
What is the product of -0.518 and 0.6?
-0.3108
Multiply -5385 and 5.
-26925
What is 0.7 times 1?
0.7
Product of 0.4 and 15.
6
What is the product of 1.1 and -0.05?
-0.055
-0.016 times -1.8
0.0288
Product of 0.5 and -49.
-24.5
Multiply 2 and -403.
-806
-0.2 times -1170
234
What is the product of 0.88 and -0.1?
-0.088
What is -0.0016 times -0.4?
0.00064
-11*9.6
-105.6
Product of 0.2 and -0.0009.
-0.00018
Product of 30 and -0.5.
-15
Calculate 305*0.3.
91.5
Product of 0.1 and 0.82.
0.082
Calculate -5*3333.
-16665
Work out -0.04 * -1108.
44.32
-125 * -0.4
50
2 times 2.8
5.6
Calculate -5.331*-0.5.
2.6655
-129.1*-0.4
51.64
Calculate -5026*-1.
5026
-3237 * -2
6474
-0.1 * 44
-4.4
0.106 times 12
1.272
-1 * 0.053
-0.053
What is the product of -0.08 and -374?
29.92
0.026 * 86
2.236
Work out -0.1 * -0.014.
0.0014
What is -11 times 0.13?
-1.43
2.9 times 3
8.7
Multiply 3 and 4962.
14886
Product of -15 and 8.
-120
Multiply -0.033 and -0.02.
0.00066
0.09267 * 2
0.18534
Calculate -2.9033*4.
-11.6132
What is the product of 0.6 and 81?
48.6
4 * 0.019
0.076
Work out 0.9 * 76.
68.4
Product of 4 and -2405.
-9620
Multiply 288 and 4.
1152
What is the product of -5 and -2118?
10590
Calculate 666*0.5.
333
-0.161*-6.8
1.0948
What is the product of 0 and -40?
0
14.694*4
58.776
What is the product of 56 and -0.07?
-3.92
What is -5 times -0.047?
0.235
4*-92
-368
What is the product of 0 and -0.115?
0
Multiply 3 and -9.
-27
Calculate -53.7*-0.5.
26.85
Product of 0.06 and 905.
54.3
What is the product of 283.9 and 4?
1135.6
What is -4 times 2012?
-8048
41*-0.0563
-2.3083
What is 271 times 0.4?
108.4
Work out 6 * -1.9.
-11.4
-0.1*-629
62.9
Calculate 29*-392.
-11368
What is -0.55 times 1?
-0.55
What is the product of -57 and -0.3?
17.1
Work out 73 * 4.
292
34 * -4
-136
82 times 2
164
0.2 times -0.49
-0.098
What is the product of -0.1 and -67.3?
6.73
What is 0.03 times 0.056?
0.00168
28 * -1.7
-47.6
-5*1.7
-8.5
What is 72 times 6.8?
489.6
-126*5
-630
What is -121 times -36?
4356
Multiply -20 and -174.
3480
Work out 1.16 * -1.
-1.16
Product of -0.54 and 16.
-8.64
Calculate -0.2808*-5.
1.404
4.2 times 0.06
0.252
Multiply 4 and -0.072.
-0.288
Work out -120.3 * 13.
-1563.9
-3900 times -0.3
1170
What is the product of 0 and 0.04?
0
-0.214*-1.1
0.2354
-553*-5
2765
4 times 2.874
11.496
0.08*0.019
0.00152
-0.06*39
-2.34
What is the product of -3 and 0.28?
-0.84
Work out -0.11 * 1.6.
-0.176
-0.04*-0.22
0.0088
-0.048*0.7
-0.0336
Work out 4 * 0.04604.
0.18416
Multiply -7 and -21.
147
What is the product of 0.03 and 5?
0.15
Product of -4328 and 0.5.
-2164
Calculate 2*-6309.
-12618
0.2 * 19
3.8
Work out -1565 * -0.5.
782.5
15*8
120
What is the product of 0.5 and 0.048?
0.024
Calculate 11.4*-7.
-79.8
Product of 46 and -0.114.
-5.244
Product of -0.07 and 198.
-13.86
1 times 0.029
0.029
-19*206
-3914
Calculate -0.06*3785.
-227.1
-211 * 4
-844
Work out 25 * 6.7.
167.5
What is 5 times 5060?
25300
-43*0.3
-12.9
59*0.01
0.59
Multiply 0.138 and -
|
{
"pile_set_name": "DM Mathematics"
}
|
*4 + 9*b - 9*b + (0 + b**2 + 0)*(6*b**2 + 0*b + 0*b) + 2*b**4 - 4 + 4 + (-b + 4 - 4)*(3*b**3 - b**3 + 0*b**3).
3*b**4
Expand 15*h**5 - 21*h**5 - 91*h**5 + (2*h**2 - 2*h**2 - 2*h**2)*(h**3 + 3*h**3 - 2*h**3) - 7*h**5 + 4*h**5 - h**5.
-105*h**5
Expand 75*f**3 + 100*f**3 - 154*f**3 + (-f**2 + 3*f**2 - 4*f**2)*(-5*f + 5*f + f).
19*f**3
Expand (-5 + 5 - 33)*(-2 + 4 + 1)*(3 + z - z - z).
99*z - 297
Expand (-2*x**4 - 7 - 4 + 13)*(-1 + 1 - 1) + (-x**4 - x**3 + x**3)*(-3 - 1 + 2) - 4*x**4 + 2*x**4 + 3*x**4.
5*x**4 - 2
Expand 4*s + 4 - 4 + (-10*s + 2*s - 2*s)*(-2 + 0 - 3).
54*s
Expand (-2 - 2 + 0)*(5 - 3 - 3)*(67*q**2 - 873 + 873)*(q - 3*q + 3*q).
268*q**3
Expand (-o + o + 3*o)*(170 + 4*o**4 - 99 - 6*o**4).
-6*o**5 + 213*o
Expand (120 + 47 + 202)*(h**2 + 1 - 1).
369*h**2
Expand (-4*c**4 + c**4 + 2*c**4)*(-2*c - 1 + 1) + c**5 - 3*c**5 - 5*c**5 + (-c**3 + 3*c**3 - 3*c**3)*(4*c**2 - 3*c**2 - 4*c**2).
-2*c**5
Expand (-22*w**3 + 13*w**3 - 37*w**3)*(-2*w + 0*w + w).
46*w**4
Expand (-16 + 45 - 19)*(-1 - 2*o + 1)*(-8 + 473*o - 32 - 475*o).
40*o**2 + 800*o
Expand (w**4 - 2*w**4 - w**4)*((-1 + 0 + 2)*(2 + 0 + 0) + 127 - 43 + 43 - 3 - 1 + 2 + 1 + 1 + 0).
-258*w**4
Expand (4 - 6 + 0)*(-1 - 4 + 4)*(4 - 7 - 3)*(0 + 0 + l) - l - 2 + 2 - l - 2*l + 2*l + (-2 + 0 + 3)*(5 - 5 - l).
-15*l
Expand 6*i**3 - i**3 - i**3 + (-i**3 - 2*i**3 + i**3)*(-2 - 2 + 3) + 2*i**3 + 3*i**3 - 3*i**3 + i**3 + 2*i**3 - 4*i**3 - 4*i**3 - 2*i**3 + 3*i**3.
4*i**3
Expand (-1 - 5 + 3)*(3*u + 0*u - 6*u)*(21*u**2 + 13*u**2 - 10*u**2).
216*u**3
Expand (1 - 2 + 0)*(22*m - 23*m + 285*m - 42*m).
-242*m
Expand (-6 + 6 + 3*b)*(3*b - b - 3*b)*(61 - 27 + 7).
-123*b**2
Expand (1 - 2 + 2)*(0*j + 0*j - j) + (-7*j + 3*j + 2*j)*(0 + 3 + 0) + j - 31*j - 63*j + 0 + 0 + j.
-99*j
Expand 106*q**2 + 69*q**2 + 59*q**2 - 2 + (-1 - 5 + 4)*(-2*q**2 + q**2 + 3*q**2) + (3*q - 3*q - q**2)*(3 - 2 - 2).
231*q**2 - 2
Expand (-r**3 - 7 + 7)*(2 - 7*r + 8*r - 8*r**2 + 2*r).
8*r**5 - 3*r**4 - 2*r**3
Expand 0 + 0 - l**2 + (1 + 2 - 1)*(7*l**2 - 2*l**2 + 2*l**2)*(15 + 26 + 0).
573*l**2
Expand (-4 + 0 - 1)*(2*i**3 - 1 + 1) + (1 - 3 + 4)*(-9*i + 9*i - i**3).
-12*i**3
Expand (f + 3*f - 3*f)*(-4*f**2 + f**2 + f**2) - 3*f**3 + 2*f**3 - f**3 + 39*f**3 - 166 + 166 + f**3 + f**2 - f**2 + (4*f + f - 3*f)*(3*f**2 - 5*f**2 + 4*f**2).
40*f**3
Expand -3*p**3 + p**3 + 9*p**3 + (2*p**2 + 2*p**2 - 3*p**2)*(2*p - p + p) + (4*p + 1 - 1)*(p**2 + 1 - 1).
13*p**3
Expand ((i**2 - i**2 + i**2)*(1 + 1 + 30) - 4*i**2 + 2*i**2 - i**2)*(4 - 2*i - 4).
-58*i**3
Expand (-59*d**2 - 35*d**2 - 101*d**2)*(3*d - 5*d + 0*d)*(3 - 2 + 0).
390*d**3
Expand 2*s**5 + s**4 - s**4 + (27 + 24 - 53 + 27*s)*(0 + 4 - 3)*(-5*s - 4*s**4 + 5*s).
-106*s**5 + 8*s**4
Expand (-2*f + 0*f + f)*(5 + 1 - 5)*(-1 - 5 - 1) + 1 + 2*f - 1 + (-6*f + 4 - 4)*(3 - 2 + 0).
3*f
Expand (35 + 15 + 31 - 300)*(0*m + 2*m - 4*m).
438*m
Expand (-24*p - 22*p + 34*p)*(3 - 2*p - 3 + (3 + p - 3)*(1 + 2 - 2) - 4*p + 0 + 0).
60*p**2
Expand (-6*c - 2*c + 3*c)*(-3*c + 2*c - 2*c + (0*c + 4*c - 3*c)*(-1 + 2 - 3)).
25*c**2
Expand (k**2 + 2*k**2 + 5*k**2)*(8*k**3 + 10*k**3 - 29*k**3).
-88*k**5
Expand (5*x**3 - 1 - x**3 - 3*x**3)*(156713*x - 582*x**2 - 156713*x).
-582*x**5 + 582*x**2
Expand (-7*t - 5*t + 7 + 13*t)*(-3*t**2 + 2*t**2 + 3*t**2).
2*t**3 + 14*t**2
Expand -5*r + 11 - 11 + (-2 - 1 + 1)*(-3*r + 5*r - r) + (-r - r + r)*(0 - 1 - 1) - 29 - 25*r + 29.
-30*r
Expand 0 + 0 + 2*z**2 + (-5*z + 3*z + 3*z)*(2 - 2 - 2*z) - 1941*z**2 + 929*z**2 + 941*z**2.
-71*z**2
Expand (-8 + 4 - l**2 + 0*l**2)*(-4*l**2 - 13*l**2 - l**2).
18*l**4 + 72*l**2
Expand -y**3 + y**3 - y**4 - 224*y**4 + 24251*y**2 - 24251*y**2 + (2*y - y**3 - 2*y)*(y + 0 + 0).
-226*y**4
Expand (-1252 - 1253 + 2505 - 1702*c)*(3 - 4 - 2)*(2*c**4 + 3*c**2 - 3*c**2).
10212*c**5
Expand (159*w**2 + 109*w**2 + w - 355*w**2)*(-1 + w + 4 - 1).
-87*w**3 - 173*w**2 + 2*w
Expand 2 - 2 - 2*d**3 + (-4*d + 4*d + d)*(73*d**2 - 4*d**2 - 28*d**2) + (1 + 1 - 4)*(0 - 1 - d**3 - 1).
41*d**3 + 4
Expand (-2*m + 5*m - m)*(-3 + 2 + 3) + 5 - 2*m - 5 + 2*m - 2*m + m - 7*m + 47*m + 14*m.
57*m
Expand (8*c**2 - 2*c**3 - 8*c**2)*(-4 + 161*c + 4 - 464*c).
606*c**4
Expand (-4*t + t + 4*t)*(-t + 2 + 0 - t + 2*t + t + 2*t + (0*t - 5*t + 2*t)*(-1 + 0 + 0)).
6*t**2 + 2*t
Expand (-1 - 3 + 0)*(1 + 2 + 2)*(6 - 3 - 2)*(-4*q - q - 5*q).
200*q
Expand (-3 + 0 + 2)*(-1 - 9 - 1)*(-6*k - k - 2*k)*(-2*k**3 + 2*k**4 + 2*k**3).
-198*k**5
Expand (-2 + 3 + 0)*(-4 + 3 + 2)*(8388*r**3 + 91*r**4 - 8388*r**3).
91*r**4
Expand (-3*b + 0*b + 2*b)*(44 + 3*b**2 + 6 + 15).
-3*b**3 - 65*b
Expand (-110 - 562 + 40 + 83)*(-2 - q**2 + 2).
549*q**2
Expand (-1 + 2 + 0)*(-201 - 45*s + 201) - 10 + 8 - 2*s - 3.
-47*s - 5
Expand (4*d + 8*d - 2*d)*(-3 - 1 - 1)*(-5 - 6*d**2 + 5).
300*d**3
Expand (-8*z + 11*z - 7*z)*(-2*z + 2*z + z**2)*(26 + z + 38 - 49).
-4*z**4 - 60*z**3
Expand (-3*t + 3*t - t)*((t - 1 + 1)*(4*t - 3*t + 0*t) + t**2 + 0*t + 0*t + 353*t**2 + 141*t**2 - 350*t**2).
-146*t**3
Expand (-16 + 22 + 23)*(2 - 6 + 1)*(0*t + 2*t - t + (t - 2 + 2)*(1 + 3 - 2) + 5*t - 3*t - 3*t).
-174*t
Expand (-3*n**2 + 3*n**2 - 6*n**3)*(1 - 4*n**2 - 1) - 5*n**5 - n**5 - 2*n**5 + (n**4 - n**5 - n**4)*(0 + 2 - 4) + 6*n**5 - 3*n**5 - 2*n**5.
19*n**5
Expand (k**3 + 3*k - 3*k)*(91 + 37 - 232 + 2*k**2).
2*k**5 - 104*k**3
Expand (3 - 5 + 1)*(-o**3 - 2*o**3 + 5*o**3) + 0*o**3 - o**3 + 3*o**3 + (0*o + o - 3*o)*(-7*o**2 + 2*o**2 + 3*o**2).
4*o**3
Expand (38*k**3 + 4*k**3 - 2*k**3)*(-3 - 3 + 3)*(-k + 2 - 2).
120*k**4
Expand (5 - s - 5)*(0 + 0 + 2)*(0*s + 2*s + 0*s)*(-5*s + 0*s - 3*s)*(-7 - 2 - 4).
-416*s**3
Expand (2*b + 0*b + 0*b)*(-24*b**2 + 24*b**2 - 9*b**2)*(-b**2 - 4*b**2 + 2*b**2).
54*b**5
Expand (158*k + 158*k - 105*k**4 - 316*k)*(2*k + 3*k - 2*k).
-315*k**5
Expand (-3*h + 0*h + 2*h - h + 3*h - 3*h + (-h - h + 3*h)*(4 - 3 - 3) + 2*h - 6 + 6)*((0 + 0 + 2*h)*(0*h - 3*h + h) + 7*h**2 - 18*h**2 - 9*h**2).
48*h**3
Expand (47*m**3 + 49 + 15*m - 12*m + 3*m**2 - 49*m**3)*(3 + 5 - 4).
-8*m**3 + 12*m**2 + 12*m + 196
Expand 3*z + z - 3*z + (-3 + 1 + 0)*(-2*z - 2*z + 6*z) + 0 + 25*z + 0.
22*z
Expand (3 + 0 - 1)*(4*i - 2*i + 0*i) + (2 + 1 - 4)*(28*i + 182*i + 231*i).
-437*i
Expand (-n + n - n)*(5*n - 15*n - 25*n)*(-1 + 1 - 2).
-70*n**2
Expand (3*r**2 + 0*r**2 - 2*r**2)*((1 + 3 - 2)*(4 + 4 - 6) + (0 + 2 + 5)*(-2 + 5 - 2)).
11*r**2
Expand (1 - 1 + u**2)*(-2*u**3 + 3*u**3 + 0*u**3) + 0*u**4 + 8*u**4 - u**5 + 2*u**5.
2*u**5 + 8*u**4
Expand (-22 + 64 - 471 - 405)*(3*k + k - 2*k).
-1668*k
Expand (-2*s + 0*s - s)*(8 - 23 - 15).
90*s
Expand (-3*r**2 + 4 - 3 + 0)*(r + 3*r - 7*r).
9*r**3 - 3*r
Expand (-4*n**4 + 0*n**4 + 2*n**4)*(5*n - 3*n - n + (0 - 2*n + 0)*(1 + 2 - 6) + 4 - 4 - 2*n + 2 + 2 + 8*n - 5).
-26*n**5 + 2*n**4
Expand (-2*a**2 - 4*a**2 + 5*a**2)*(-4 - a**3 + 4) + 2*a**5 + a - a - 3*a - a**5 + 3*a + 90*a**4 + 113*a**5 - 90*a**4.
115*a**5
Expand (-4*k - k + 4*k)*(-352 + 570 - 447) + (-1 + 4 - 1)*(-k + 2*k - 3*k).
225*k
Expand ((-5*y**2 + 2*y**2 + 2*y**2)*(-y + 2*y + y) - 14*y**3 - 273 + 273)*(-y**2 + 4*y**2 + 4*y**2).
-112*y**5
Expand (-j + 0*j + 3*j)*(-3 + 2 + 5)*(1 - 5 + 1)*(-4 + 0 + 2).
48*j
Expand -3*i**4 + 2*i**4 + 3*i**4 + (-34*i + 304*i - 22*i)*(-18*i**2 + 18*i**2 - 3*i**3).
-742*i**4
Expand (-2*l**2 + 2*l**2 - l**4)*((l - 3 + 3)*(-3 - 2 + 6) + 3 - 3 - 2*l + 0*l + 3*l - 5*l + 23*l + 86*l + 160*l).
-266*l**5
Expand (-5 + 4 + 6)*(11*b**2 + 7*b - 7*b).
55*b**2
Expand 4*p - 3*p + 0*p + (1 + 2 - 4)*(0*p - 3*p + 4*p) + 1 - p - 1 - p - 3*p + 3*p + 29*p - 14*p + 6*p.
19*p
Expand (-2 + 5*v + v - 11*v)*((-6*v + 6*v + 8*v)*(-2*v - 4 + 4) - 2*v**2 - 2*v**2 + 3*v**2 - v**2 - 4*v**2 + 4*v**2).
90*v**3 + 36*v**2
Expand (3*a + 0*a - a + 0 + 0 + a + (a + a + 0*a)*(0 - 3 + 2))*(1299 + 15*a - 1299).
15*a**2
Expand (-i + i + 3*i**2)*((-3*i - 2*i + 3*i)*(2*i + i - i) - 90*i**2 - 181 + 181 + i**2 - i**2 - i**2).
-285*i**4
Expand (3 - 3 + 3*d)*(-66 - 131 + 17 - 64).
-732*d
Expand -2*l**3 + l**5 + 2*l**3 + (176*l**2 - 176*l**2 - 53*l**3)*(-2*l**2 - l**2 - 5*l**2).
425*l**5
Expand (-8*a + 3*a + 0*a)*(-a + 0*a + 2*a)*(12*a - 12*a + 4*a**3 + (-1 - 2 + 2)*(2*a**3 + 0*a**3 + 0*a**3) + a**3 - 2*a + 2*a + 3*a**3 - 3*a**3 + 2*a**3).
-25*a**5
Expand (60 + 820 - 242)*(-u - 3*u + 3*u)*(-4*u + 3*u - 2*u).
1914*u**2
Expand j - 4*j**4 - j + (0 - 5 + 0)*(2*j**4 + 0*j + 0*j) - j**4 + 0*j**4 + 4*j**
|
{
"pile_set_name": "DM Mathematics"
}
|
Let x(u) = 2 + 5*u + 0 - u**2 + 2*u**2 + 0*u**2. What is the units digit of x(z)?
2
Suppose 2*i - 13 + 59 = 0. Let d = -14 - i. What is the units digit of d?
9
What is the tens digit of (-6)/9*1 - (-1376)/12?
1
Let k = 154 - 72. What is the tens digit of k?
8
Let f(x) = -4*x - 1. Let v(y) = -y + 1. Let i(u) = f(u) - 3*v(u). Let a be i(-7). Suppose a*q = 7 - 1. What is the units digit of q?
2
Let m(w) be the first derivative of w**3/3 + 5*w**2 - 2. Let i be m(-10). Let d = i - -2. What is the units digit of d?
2
Let v = 37 + -20. Suppose -v = -5*n - 2*p, 0*n - 4*p = 2*n - 10. What is the units digit of n?
3
Let b be (-5 + 4)/((-1)/2). Suppose -b*k - 3*q + 17 + 118 = 0, 2*k - 5*q = 95. What is the units digit of 2/(-5) - k/(-25)?
2
Let t = -47 - -67. Suppose 0*h = h - t. Suppose 0 = -4*i + h, -g - 3*i + 18 = 2*g. What is the units digit of g?
1
Let z be 153/36 - 2/8. Suppose -z*d - 8 = -8*d. Suppose s + 1 = d*s. What is the units digit of s?
1
Let t(n) = -n**3 - 8*n**2 - n - 12. What is the units digit of t(-9)?
8
Let y = 160 + -110. Suppose y = 3*p - 2*d + 7*d, -5*p + 4*d + 34 = 0. Suppose -3*n = -n - p. What is the units digit of n?
5
What is the hundreds digit of 43*(48/(-80))/(1/(-5))?
1
Let t(f) be the first derivative of f**2/2 + 2*f - 2. Let c be t(3). Suppose -4*u - 16 - 5 = c*x, 3*u = -4*x - 17. What is the units digit of u?
1
Suppose -5*z + 5*v = -0*v - 1735, -z - 2*v + 359 = 0. What is the units digit of z?
1
Suppose 3*f - 6*f + 237 = -g, 0 = g. What is the tens digit of f?
7
Let h = -1 + 9. Let z be (2/(-6))/(h/48). Let t(m) = -m**3 - 2*m**2 - m + 1. What is the units digit of t(z)?
3
Suppose 5*i - 189 - 611 = 0. What is the tens digit of i?
6
Suppose 0 = -3*i + 6. Suppose 2*j = -3*q + 13, 3*q + 3*j = 6 + 6. Suppose i*u = 2*l + 28, -u - q*l + 0 = 10. What is the units digit of u?
0
Suppose -3*a + a = -10. Let d be (1 + 3)*1/1. Suppose -d*f - 16 = -r + 10, 0 = a*r - f - 35. What is the units digit of r?
6
Let o(r) = -r**3 - 7*r**2 - 2*r - 9. Let y be o(-7). Suppose 5*l - 3*g = 9, y*l - 5*g + 2 = 17. Suppose l = -4*n + 15 - 3. What is the units digit of n?
3
Let r(n) be the first derivative of -n**2 + 6*n - 3. Let y be r(4). Let h = 5 - y. What is the units digit of h?
7
Suppose -2*v - 2*v = -16. Let g = -6 + v. What is the units digit of 10/3*(-3)/g?
5
Let y = -5 + 6. Suppose 0 = -2*x + 29 + y. What is the tens digit of x?
1
Let z be ((-8)/4 - -19)/1. Suppose 3*v + 0*v + 4*a - z = 0, -v - 5 = -4*a. What is the units digit of v?
3
Let j(f) = -f + 4. Let o be j(0). What is the units digit of (-6)/(-9)*66/o?
1
Suppose 2*v + 5 = 5*q, -4*v = 2*q + 3*q - 35. What is the units digit of 3/v - (-12)/30?
1
Suppose i = 2*s + 14, 2*i - 21 = -2*s - s. Suppose -i = -4*c - 0. Suppose -42 = -c*v - 0. What is the units digit of v?
4
Let q = -233 + 344. What is the units digit of q?
1
Suppose -o = 5*f - 206, 7*f = -5*o + 2*f + 990. Suppose -b = 4*d - 27, -o - 2 = -5*b + d. What is the units digit of b?
9
Let d(v) = -v**2 + v - 5. Let c be d(0). Let a(b) = b**2 - 8*b + 7. Let h be a(7). Let p = h - c. What is the units digit of p?
5
Suppose 31 = 4*s + 3*q + 2*q, s = q + 1. Suppose t = -u - 2*t - 19, s*t = -20. Let l = -2 - u. What is the units digit of l?
2
Let n(h) = -h**3 + 7*h**2 + 9*h - 3. Let p be n(8). Suppose 0 = -p*z + 7*z - 34. Let q = z + -12. What is the units digit of q?
5
Suppose 2*q - 37 = 3*k + 2*k, 4*k + 3*q + 25 = 0. What is the units digit of k/(-4) - (-1)/4?
2
Let i(h) = 1. Let o(q) = -5*q + 7. Let j(r) = -6*i(r) + o(r). Let p be j(-6). Let k = -15 + p. What is the tens digit of k?
1
Let m(p) = 3*p**2 - 10 + 4*p - 3*p**2 + 6*p**2 - 5*p**2. What is the units digit of m(4)?
2
Let w be (30/(-25))/((-2)/(-10)). Let o = 7 + w. Suppose f + 5*b = 11, -5*f - 6 + o = -5*b. What is the units digit of f?
1
Let s(p) be the first derivative of -p**6/360 - 3*p**5/40 - p**4/8 + p**3/3 + 4. Let n(r) be the third derivative of s(r). What is the tens digit of n(-5)?
1
Suppose 2*h - 4 = 8. Suppose 36 = 5*a + f - 4*f, -a - h = -5*f. What is the units digit of a?
9
Suppose -c - 2 = -6. Suppose 0*t = 2*x + 4*t - 14, c*x = -2*t + 10. What is the units digit of x?
1
Let i = 6 - 2. Suppose -4*z - 4 = -3*c, 3*z = i*c - 0*c - 3. Suppose -3*m + c*m = -24. What is the units digit of m?
8
Let m(v) = -v**2 + 7*v - 8. Let f be m(7). What is the units digit of 36/f*(-56)/12?
1
Suppose -f - 2 = 3*i - 1, f + 1 = 4*i. What is the units digit of f/6 - (-148)/24?
6
Suppose 2*t - t + 287 = 3*v, 5*t - 275 = -3*v. What is the tens digit of v?
9
Let z be (-2 + 2/2)*5. Let f be 2/z + 388/20. Suppose -f = -3*d + 23. What is the units digit of d?
4
Let i be (18/27)/((-1)/3). Let f(a) = -3*a**3 - a**2 + 4*a + 3. What is the tens digit of f(i)?
1
Let p be (1 + -3)/(3/(-12)). Let s(y) = -y + 8. Let j be s(p). Suppose 0 = -4*z + 16 - j. What is the units digit of z?
4
Let w be -2*(-1)/(4/(-6)). Let m be 1/w - (-16)/3. Suppose 2*j + 3*d + 5 = j, m = 2*j + d. What is the units digit of j?
4
Suppose 9*k - 4 = 8*k. What is the units digit of k?
4
Let g = -31 + 120. What is the tens digit of g?
8
Let r = 2 - 0. Suppose r*n - 30 = 8. What is the units digit of n?
9
Let m(o) = -o**3 - 4*o**2 + 3*o - 32. Let a(b) = b**2 - b - 1. Let l(r) = -3*a(r) - m(r). What is the tens digit of l(0)?
3
Suppose 5*f + 409 = 2*z, 0 = -2*z - f + 128 + 263. What is the tens digit of z?
9
Let f = -16 + 26. Let b(x) = -x**3 - 19*x**2 - 20*x - 11. Let h be b(-18). Suppose -5*z = -f*z + h. What is the units digit of z?
5
What is the units digit of (-207)/15*(-10)/3?
6
Let w = 4 + 29. Let t = w - 60. Let s = t + 39. What is the tens digit of s?
1
Let s be (3/9*0)/(-1). Suppose 2 = -n - s*n. Let a = -1 - n. What is the units digit of a?
1
Suppose 0 = 2*m + r - 6, 2*m + 2*m - r = 0. Let w be 33 + (m/(-1))/1. Suppose 5*k - k - w = 0. What is the units digit of k?
8
Let r(z) = -z**3 - 8*z**2 - 8*z - 2. Let i be r(-7). Suppose -9 = -v + i. What is the tens digit of v?
1
What is the tens digit of (9/6)/(6/100)?
2
Suppose -7*a = -2*a - 2*s - 28, 5*a - 26 = 4*s. What is the units digit of 108/a*(-1 - -2)?
8
Let c be 2/8 + (-5)/4. Let v = 1 + c. Suppose v*p - 28 = -4*p. What is the units digit of p?
7
Suppose -2*k + 307 = -193. What is the tens digit of k?
5
Suppose -t + 1381 - 277 = 3*p, -5*p + 5*t = -1840. What is the hundreds digit of p?
3
Let m(x) = -x**3 + 17*x**2 - 17*x + 16. Let y be m(16). What is the tens digit of (-1 - y) + (-204)/(-6)?
3
Suppose -2*z = p - 62 + 10, 3 = -3*z. What is the units digit of p?
4
Let j(c) = -34*c - 12. What is the tens digit of j(-11)?
6
Suppose 5*p + 2 = 3*i, -3*p = -0*i - i - 2. Let s(o) = o**3 + 6*o**2 + 4*o - 5. Let j be s(-5). Suppose j = u + p*u - 51. What is the tens digit of u?
1
Let f = 17 + -11. Suppose 6 + f = 2*g. What is the units digit of g?
6
Suppose 0 = -d - 2*d - 15. Let z(t) = t. Let y(l) = l**2 + 4*l + 6. Let s(a) = d*z(a) - y(a). What is the tens digit of s(-4)?
1
Suppose -17 = -5*l + 8. Let z(k) = k**3 + 5*k**2 + 3*k - 2. Let o be z(-4). Suppose l*a - 10 = -3*y, o*a - 2*y + 0 = 20. What is the units digit of a?
5
Let q be (-16)/20 - (-11)/(-5). Let x(f) = 2*f**2 + f - 1. Let r be x(2). What is the units digit of 33/r + (-1)/q?
4
Let n(i) = 2*i**3 - 2*i**2 - 3*i + 2. Let h be n(2). Suppose -l = -g + 10, -5*g + h*l + 58 = l. What is the tens digit of g?
1
Suppose 0 = -5*j - 20 - 0. Let v = -2 - j. Suppose -v + 6 = 2*i. What is the units digit of i?
2
Let i = 3 - -10. Suppose -t = -4*m + i, -15 = -0*m - 5*m + t. Suppose 0 = -m*j + j - 2*q + 5, 3*q = -3*j + 15. What is the units digit of j?
5
Let a be 5/3*(-252)/(-6). Suppose a = 4*p + 2. What is the units digit of p?
7
What is the tens digit of (-4)/1 + 24 - -3?
2
Let l(t) = t - 2. Let i be l(6). Suppose 3*q - 3*j = -0*q + 3, 0 = q + 4*j + i. Let a = 3 - q. What is the units digit of a?
3
Let h(o) = o**3 + 2*o**2 - o. Suppose 0 = 5*m - 2*d + 5, -4*m - 6 + 0 = -2*d. What is the units digit of h(m)?
2
Let x(u) = u**3 + 9*u**2 + 13*u + 7. What is the tens digit of x(-5)?
4
Suppose -3*r + 1 = 10. What is the units digit of ((-4)/r)/((-2)/(-12))?
8
What is the units digit of 37 - 2 - 0/1?
5
Let j = -132 - -160. What is the units digit of j?
8
Let z be ((-6)/4)/((-12)/40). Let n(o) = o**3 - 6*o**2 + 5*o + 7. What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
e?
True
Is 1248631 composite?
False
Is 671483 a composite number?
True
Is 334563 prime?
False
Is 29819 prime?
True
Is 61823 composite?
True
Is 74653 prime?
True
Is 262097 prime?
False
Is 132571 prime?
False
Is 146563 composite?
False
Is 409573 a prime number?
True
Is 15349 composite?
False
Is 853 composite?
False
Is 888047 a prime number?
True
Is 1996907 composite?
True
Is 701809 a composite number?
True
Is 83833 composite?
False
Is 206749 a prime number?
True
Is 246242 a composite number?
True
Is 349963 a composite number?
False
Is 23657 a composite number?
True
Is 40301 a prime number?
False
Is 177883 a prime number?
True
Is 1271227 prime?
True
Is 87103 prime?
True
Is 169427 a prime number?
True
Is 427213 a composite number?
False
Is 8051 composite?
True
Is 44771 prime?
True
Is 6767 a prime number?
False
Is 463283 a prime number?
True
Is 560438 prime?
False
Is 2746 a prime number?
False
Is 108343 composite?
False
Is 68093 a prime number?
False
Is 1791865 prime?
False
Is 5921 a prime number?
False
Is 76459 a composite number?
True
Is 4583 a composite number?
False
Is 36521 prime?
False
Is 2492161 a composite number?
True
Is 28169 composite?
True
Is 91229 composite?
False
Is 5437 a composite number?
False
Is 4373 a composite number?
False
Is 3037 a prime number?
True
Is 33679 composite?
False
Is 474857 composite?
False
Is 467963 a composite number?
False
Is 5221 a prime number?
False
Is 3847 a prime number?
True
Is 24763 a prime number?
True
Is 4327 a composite number?
False
Is 465683 composite?
True
Is 31669 composite?
True
Is 78377 prime?
False
Is 36902 a composite number?
True
Is 3985 prime?
False
Is 38011 a composite number?
False
Is 48099 prime?
False
Is 52229 prime?
False
Is 129629 a prime number?
True
Is 31469 a composite number?
False
Is 23869 prime?
True
Is 880513 prime?
True
Is 2589 a prime number?
False
Is 713807 a prime number?
True
Is 3271 a composite number?
False
Is 1468591 a prime number?
True
Is 21253 prime?
False
Is 2291 a prime number?
False
Is 918839 a composite number?
False
Is 10057 a composite number?
True
Is 470021 composite?
False
Is 2303359 a composite number?
False
Is 484691 a prime number?
True
Is 260849 a prime number?
True
Is 30437 prime?
False
Is 33926 composite?
True
Is 469363 composite?
False
Is 14377 a composite number?
True
Is 124378 composite?
True
Is 1710061 composite?
False
Is 58703 composite?
True
Is 71927 a prime number?
False
Is 489 a prime number?
False
Is 712393 prime?
False
Is 9217 a composite number?
True
Is 186377 a prime number?
True
Is 468803 composite?
False
Is 4783 prime?
True
Is 27663 a prime number?
False
Is 3713 a composite number?
True
Is 264514 composite?
True
Is 5381 prime?
True
Is 9813 a prime number?
False
Is 986165 composite?
True
Is 368609 composite?
False
Is 409 a composite number?
False
Is 1066595 prime?
False
Is 9059 composite?
False
Is 279581 prime?
False
Is 443 prime?
True
Is 40003 a composite number?
True
Is 26419 composite?
True
Is 299987 a composite number?
True
Is 114447 composite?
True
Is 1387 a prime number?
False
Is 355297 prime?
True
Is 72677 prime?
False
Is 17783 a composite number?
False
Is 33557 prime?
False
Is 85549 prime?
True
Is 17863 composite?
False
Is 2306 a composite number?
True
Is 3473 a composite number?
True
Is 1949 prime?
True
Is 7571 a prime number?
False
Is 1305541 prime?
False
Is 9383 a composite number?
True
Is 2447 a prime number?
True
Is 5809 a prime number?
False
Is 4169 prime?
False
Is 10015 prime?
False
Is 1183823 prime?
False
Is 8143 a prime number?
False
Is 480839 a composite number?
False
Is 142673 composite?
False
Is 491 prime?
True
Is 211 composite?
False
Is 154519 a composite number?
True
Is 4117 prime?
False
Is 26387 composite?
False
Is 12053 prime?
False
Is 5591 a composite number?
False
Is 150862 a prime number?
False
Is 227813 composite?
True
Is 64741 a prime number?
False
Is 21407 prime?
True
Is 69733 a composite number?
True
Is 44539 a prime number?
False
Is 256621 a composite number?
True
Is 27381 a prime number?
False
Is 926293 composite?
False
Is 5951 composite?
True
Is 1686469 a prime number?
False
Is 49141 prime?
False
Is 3989 a composite number?
False
Is 419231 a composite number?
False
Is 94769 composite?
True
Is 629407 prime?
False
Is 56033 composite?
True
Is 17231 a composite number?
False
Is 5737 a composite number?
False
Is 338659 composite?
False
Is 31715 prime?
False
Is 9923 composite?
False
Is 6337 a prime number?
True
Is 516973 a composite number?
False
Is 995 a prime number?
False
Is 26137 a composite number?
True
Is 29077 a prime number?
True
Is 8819 a composite number?
False
Is 123139 prime?
False
Is 289015 a prime number?
False
Is 14507 composite?
True
Is 48427 a composite number?
True
Is 31985 a composite number?
True
Is 18457 prime?
True
Is 244973 composite?
True
Is 14107 composite?
False
Is 28901 prime?
True
Is 149 prime?
True
Is 575917 composite?
True
Is 273631 a prime number?
False
Is 871 prime?
False
Is 11197 prime?
True
Is 39643 prime?
False
Is 36193 composite?
True
Is 563401 prime?
True
Is 232741 prime?
True
Is 58657 prime?
True
Is 146513 composite?
False
Is 395069 a composite number?
False
Is 45233 prime?
True
Is 38326 a prime number?
False
Is 4721 composite?
False
Is 35011 a composite number?
True
Is 341641 a composite number?
False
Is 2165 a composite number?
True
Is 8639 a composite number?
True
Is 63113 a composite number?
False
Is 36383 prime?
True
Is 103081 a prime number?
False
Is 93371 prime?
True
Is 7871 composite?
True
Is 1154 a prime number?
False
Is 56285 a composite number?
True
Is 914777 composite?
False
Is 331433 prime?
False
Is 97987 a composite number?
False
Is 26449 composite?
False
Is 20323 prime?
True
Is 65951 prime?
True
Is 665282 a composite number?
True
Is 1731 prime?
False
Is 19463 a prime number?
True
Is 36241 a composite number?
False
Is 3587 composite?
True
Is 5579 a composite number?
True
Is 5042 a composite number?
True
Is 1757579 a prime number?
False
Is 25735 a prime number?
False
Is 1921991 a prime number?
False
Is 2843 prime?
True
Is 54515 a composite number?
True
Is 91731 a prime number?
False
Is 2901 composite?
True
Is 2073 a prime number?
False
Is 106619 prime?
True
Is 162251 prime?
True
Is 98999 composite?
False
Is 6101 composite?
False
Is 1739 a composite number?
True
Is 3863 composite?
False
Is 20813 prime?
False
Is 181045 prime?
False
Is 13705 a prime number?
False
Is 17947 a prime number?
False
Is 633 prime?
False
Is 11141 a prime number?
False
Is 21077 composite?
True
Is 122443 a prime number?
True
Is 73382 a prime number?
False
Is 524047 a prime number?
True
Is 708409 a prime number?
False
Is 172871 a prime number?
True
Is 1117959 composite?
True
Is 12007 a composite number?
False
Is 10427 a prime number?
True
Is 133831 a composite number?
False
Is 250103 prime?
False
Is 894503 a composite number?
False
Is 7897 a composite number?
True
Is 76595 a prime number?
False
Is 282197 composite?
True
Is 15089 prime?
False
Is 53683 a prime number?
False
Is 1049057 composite?
False
Is 476713 composite?
False
Is 95943 a prime number?
False
Is 16609 a composite number?
True
Is 45161 a composite number?
False
Is 30241 prime?
True
Is 3607 prime?
True
Is 26493 composite?
True
Is 3299 a composite number?
False
Is 10037 composite?
False
Is 21169 a prime number?
True
Is 3199 a composite number?
True
Is 4507 a prime number?
True
Is 28383 a composite number?
True
Is 6883 a prime number?
True
Is 182581 a composite number?
True
Is 25697 a composite number?
True
Is 42677 composite?
False
Is 143867 composite?
True
Is 19237 prime?
True
Is 54251 prime?
True
Is 104605 composite?
True
Is 1943 a composite number?
True
Is 68131 a prime number?
False
Is 25841 a prime number?
True
Is 583577 composite?
False
Is 11369 prime?
True
Is 134243 composite?
False
Is 148061 prime?
True
Is 1171189 a prime number?
True
Is 5399 a prime number?
True
Is 11129 a prime number?
False
Is 75467 a prime number?
False
Is 1779661 composite?
True
Is 179897 prime?
True
Is 2893 a composite number?
True
Is 4907 prime?
False
Is 15131 prime?
True
Is 943 prime?
False
Is 12849 prime?
False
Is 16574 a composite number?
True
Is 6109 composite?
True
Is 7607 a prime number?
True
Is 17851 prime?
True
Is 395377 prime?
True
Is 9661
|
{
"pile_set_name": "DM Mathematics"
}
|
5*k**2 + 4*k - 5. Let y(u) = -u**3 + u**2 - u + 1. Give -c(z) - 5*y(z).
11*z**3 + z
Let f(r) = -5*r - 6. Let w(c) = 10*c + 13. Give 13*f(t) + 6*w(t).
-5*t
Let y(p) be the third derivative of p**6/120 + p**5/60 - p**3/6 + 40*p**2. Let d(g) = -2*g**2 + g + 1. Calculate -d(t) - y(t).
-t**3 + t**2 - t
Let q(n) = -4*n**2 - 4. Let b(j) = j**3 - 3*j**2 - 3. Let l = 36 - 32. Calculate l*b(d) - 3*q(d).
4*d**3
Let y(u) = u**3 - 9*u - 9. Let b(h) = -h**3 + 3*h**2 + 4*h - 3. Let n be b(2). Let r be (-5 + 9)*n/(-4). Let k(j) = 2*j + 2. Determine r*k(m) - 2*y(m).
-2*m**3
Let f(z) = -2*z**3 + 3*z - 37. Let o(k) = -5*k**3 + 8*k - 112. What is 8*f(u) - 3*o(u)?
-u**3 + 40
Let v(w) = -6*w**3 - 13*w - 16. Let g(f) = 2*f**3 + 4*f + 5. Give -7*g(z) - 2*v(z).
-2*z**3 - 2*z - 3
Let w(l) = 4*l**2 - l + 3. Let k(b) = 12*b**2 - 4*b + 8. Calculate -3*k(n) + 8*w(n).
-4*n**2 + 4*n
Let g(y) be the third derivative of y**4/24 + 7*y**3/6 - 11*y**2. Let c(z) = z + 8. Determine 6*c(s) - 7*g(s).
-s - 1
Suppose -2*a + 15 - 3 = 0. Let p(i) = -i**2 + 6*i + 3. Let u be p(a). Let c(n) = 2*n - 1 - 1 + 1. Let m(z) = 2*z - 1. Give u*m(t) - 4*c(t).
-2*t + 1
Let p(o) = -4*o. Let a(j) = -14*j - 2. Let l(b) = 13*b + 1. Let k(w) = 2*a(w) + 3*l(w). Determine 3*k(y) + 8*p(y).
y - 3
Let a(y) = 2*y**3 + 5*y**2 - 2*y. Let t(b) = 8*b**3 + 20*b**2 - 8*b. What is -9*a(s) + 2*t(s)?
-2*s**3 - 5*s**2 + 2*s
Let a(i) = i + 1. Let n(d) = 20*d**3 + 3*d + 1. Give 2*a(k) - n(k).
-20*k**3 - k + 1
Let h(i) = 2*i + 7. Let r(p) be the second derivative of -p**3/3 - 4*p**2 - 4*p. What is 7*h(a) + 6*r(a)?
2*a + 1
Let p(r) be the second derivative of -3*r + 2*r**2 - 1/6*r**3 + 0. Let a(k) = 1. Determine -4*a(n) + p(n).
-n
Let x(q) = 14*q**3 - 6*q**2 - 6*q + 6. Let j(c) = c**2 + c - 1. Give 6*j(p) + x(p).
14*p**3
Let h(m) = -m**2 - m + 1. Let d(r) = -r**2 + 4. What is -d(i) + 3*h(i)?
-2*i**2 - 3*i - 1
Let q(d) = -2*d**2 + 3*d - 3. Suppose 2*n + 10 = 4*n. Let f(w) = -3*w**2 + 5*w - 5. Suppose -p - 3*p = -52. Suppose -5*t - 2 = p. Determine n*q(s) + t*f(s).
-s**2
Let m(f) = 2. Let j(t) = 2*t**2 - 2*t - 2. Let r be j(2). Let q(g) = g**3 + 7. Give r*q(v) - 7*m(v).
2*v**3
Let q be ((-1)/2)/((-5)/30). Let k be 2/q + (-55)/15. Let t(h) = -3*h**2 + 2*h. Let d(i) = 4*i**2 - 3*i. Determine k*t(u) - 2*d(u).
u**2
Suppose -2*w - 14 = 3*q, 4*q = -7 - 9. Let j(y) = y. Let m(t) = -t**2 - 2*t**2 + 2*t**2 - t - 1. Calculate w*m(x) - 3*j(x).
x**2 - 2*x + 1
Let h(o) = -5*o**2 - 2*o. Let r(x) = x**2. What is -h(w) - 4*r(w)?
w**2 + 2*w
Let g(b) = -9*b. Let z(n) = 18*n. Determine 9*g(p) + 5*z(p).
9*p
Let x(b) = 3*b. Let p(w) = 1. Determine 3*p(s) - x(s).
-3*s + 3
Let p(w) = -2*w**2 - 1 - 5 + 1 + 0*w**2. Let g(o) = o**2 + 3. Calculate 5*g(c) + 3*p(c).
-c**2
Let w(f) = 4*f**2 - 2*f - 15. Let y(a) = -2*a**2 + a + 7. Let z be (-6)/(-10) - 186/(-15). Calculate z*y(n) + 6*w(n).
-2*n**2 + n + 1
Suppose 0 = -c + 10*c - 45. Let k be 1 + 1/(-1) + 1. Let u(z) = z**2 + z + 1. Let l(s) = 2*s**3 - 5*s**2 - 5*s - 5. What is c*u(x) + k*l(x)?
2*x**3
Let l(a) = 4*a - 3. Let v be l(-2). Let s(x) = -5*x**3 - 11*x**2. Let r(q) = -q**3 - 2*q**2. What is v*r(k) + 2*s(k)?
k**3
Let f = -1 + 4. Suppose -f*w + 48 = -0*w. Let o(i) = 10*i**3 + 16. Suppose 3 = -3*v - 6. Let x(b) = 2*b**3 + 3. What is v*o(p) + w*x(p)?
2*p**3
Let p(y) = -7*y + 3. Let h(n) = -14*n + 4. Let j(g) = -2*g. Let w(a) = -2*h(a) + 4*j(a). Determine -17*p(i) - 6*w(i).
-i - 3
Let w = 34 + -23. Let u(d) = d**3 + 5. Let a(l) = -4. Let j(v) be the first derivative of -5*v - 3. Let c(p) = -4*a(p) + 3*j(p). What is w*c(s) - 2*u(s)?
-2*s**3 + 1
Suppose 0 = -4*g + 3*l + 4, -4*g + 8*g = -4*l + 4. Let d(t) = 2*t - 6. Let n(p) = -1. Determine g*d(q) - 8*n(q).
2*q + 2
Let t(n) = -3*n**3 - 5*n**2 - 5*n + 5. Suppose 3*q = 4*v + 3 - 5, 4*q - v - 6 = 0. Let z(l) = -l**3 - 2*l**2 - 2*l + 2. Determine q*t(k) - 5*z(k).
-k**3
Let b(r) = -5 + 2 - 11*r**2 + 6*r + 3*r. Let w(q) = -5*q**2 + 4*q - 1. Let z be (16/(-10))/((-20)/(-50)). What is z*b(s) + 9*w(s)?
-s**2 + 3
Let g(y) = y**3 + 22*y**2 - 6*y - 5. Let p(k) = -k**3 - 21*k**2 + 5*k + 4. Give 4*g(f) + 5*p(f).
-f**3 - 17*f**2 + f
Let q(v) = -v**3 + v - 1. Let b(f) = -4*f**3 - 36*f - 4. Give b(w) - 5*q(w).
w**3 - 41*w + 1
Suppose -l + 2*q + 4 + 1 = 0, -2*l = -3*q - 8. Let p(k) = -k - 1. Suppose -1 = 2*i - 5. Let a(z) = -8*z + 11*z + i + 1. Determine l*a(s) + 4*p(s).
-s - 1
Let v(x) = x**3 - 3*x**2 - 2*x - 3. Let h = 4 - 6. Let l = 2 - h. Suppose l*a = a - 6. Let s(z) = -2*z**2 - z - 2. Calculate a*v(i) + 3*s(i).
-2*i**3 + i
Let a(r) = r. Let u be (2/5)/(2/(-20)). Let n(k) = 5*k + 5. Let z(h) = 5*h + 4. Suppose 0 = -4*p + 7 + 5. Let q(c) = p*n(c) + u*z(c). Calculate -4*a(g) - q(g).
g + 1
Let b(u) = -u + 6. Let y(m) = -m + 5. Suppose w = -h + 6*w + 25, w + 19 = 3*h. Let k = -4 - 2. What is h*b(f) + k*y(f)?
f
Let c(d) = 27*d**3 - 3*d**2 + d + 1. Let x(h) = -27*h**3 + 4*h**2 - 2*h - 1. What is -4*c(u) - 3*x(u)?
-27*u**3 + 2*u - 1
Let q(a) = -57*a**2 - 5. Let v(m) = 58*m**2 + 6. What is 5*q(f) + 4*v(f)?
-53*f**2 - 1
Let n(q) = q - 1. Let z(k) = -6*k + 6. Let o(f) = -2*f + 2. Let g(b) = -10*o(b) + 3*z(b). Determine 3*g(v) - 5*n(v).
v - 1
Let o be 5 + (0/2)/(-1). Suppose -4*x + 6 = -v - 8*x, -o*x = -4*v + 60. Let y(u) = -2*u**3 + 5*u**2. Let d(j) = -j**3 + 3*j**2. Calculate v*d(q) - 6*y(q).
2*q**3
Let m(j) = -9. Let x(r) = r + 9. Give 4*m(u) + 3*x(u).
3*u - 9
Let c(a) = -5*a**2 + a + 2. Let h(m) be the third derivative of m**5/15 - m**4/24 - m**3/6 + 5*m**2 + 2*m. Give -2*c(q) - 3*h(q).
-2*q**2 + q - 1
Let c(d) = -11*d**2 - 5*d + 6. Let k(i) = 4 + 4*i**2 - 3*i - 8*i**2 - 3*i**2. Give 5*c(f) - 8*k(f).
f**2 - f - 2
Let y(p) = p**3 - p**2 + p - 1. Let c(i) = 9*i**3 - 12*i**2 + i - 7. Let q(o) = -3*o**3 + 4*o**2 + 2. Let x(v) = 4*c(v) + 11*q(v). What is -x(m) + 4*y(m)?
m**3 + 2
Let a(z) = -5*z**3 - 4*z**2. Let h be (-10)/2*(-22)/10. Let n(w) = 14*w**3 + 11*w**2. Calculate h*a(m) + 4*n(m).
m**3
Let q(l) = 5*l**3 + 6*l**2 - 6*l - 9. Let m(k) = k**3 + k**2 - k. What is 6*m(t) - q(t)?
t**3 + 9
Let y(w) = 14*w**3 - 2*w**2 - 5*w. Let z(h) = 29*h**3 - 4*h**2 - 11*h. Calculate 13*y(i) - 6*z(i).
8*i**3 - 2*i**2 + i
Let a(t) = -12*t**2 + 9. Let b(d) = 1 - 44*d**2 - 1 + 2 + 41*d**2. Determine 2*a(y) - 9*b(y).
3*y**2
Let m(b) = 0 + b + 7 - 1 - 2. Let t(g) = -1. Calculate -3*m(h) - 12*t(h).
-3*h
Let o(t) = -2*t - 3. Suppose -12 + 8 = -x. Let v(p) = p + 2. Determine x*o(g) + 5*v(g).
-3*g - 2
Let s(c) = -9*c**3 - 5*c**2 - 3*c. Let b(i) = -46*i**3 - 24*i**2 - 14*i. Give -3*b(y) + 14*s(y).
12*y**3 + 2*y**2
Let a(h) = -12*h**3 + 4*h**2 + 3*h + 1. Let w(x) = -11*x**3 + 3*x**2 + 2*x + 1. What is 3*a(g) - 4*w(g)?
8*g**3 + g - 1
Let y(m) = -42*m**3 + 17*m**2 - 17*m. Let j(r) = -14*r**3 + 6*r**2 - 6*r. Determine 17*j(b) - 6*y(b).
14*b**3
Let i = 5/16 + 51/16. Let a(l) be the second derivative of 0 + i*l**2 + 0*l**3 + l - 1/3*l**4. Let g(d) = -6*d**2 + 10. What is 7*a(o) - 5*g(o)?
2*o**2 - 1
Let s = 1 - -2. Let u(x) = 2*x**3 + 4*x**2 - 4*x**s + 0 - 3*x + 1. Let g(t) = -4*t**3 + 7*t**2 - 5*t + 1. Suppose 0*m - 6 = -2*m. Calculate m*g(q) - 5*u(q).
-2*q**3 + q**2 - 2
Let t(f) = -3*f + 4. Let y(m) be the first derivative of -3 + 7/2*m**2 - 9*m. Suppose -5*q - 26 = 5*j - 11, 10 = -2*q. Give j*y(o) + 5*t(o).
-o + 2
Let b(a) = 2*a**2 + 4*a - 5. Let z = -67 - -1. Let o be (2/6)/((-2)/z). Let p(r) = -5*r**2 - 11*r + 14. Give o*b(s) + 4*p(s).
2*s**2 + 1
Suppose -2*n + 11 = -7. Let q(b) = -5*b**3 - 17*b**2 + 13*b. Let h(s) = s**3 + 4*s**2 - 3*s. Determine n*h(d) + 2*q(d).
-d**3 + 2*d**2 - d
Let w(q) = -2*q**3 + 4*q**2 - 4*q - 4. Let b = -11 + 19. Suppose -b*z - 27 = -5*z. Let d(y) = 5*y**3 - 9*y**2 + 9*y + 9. Give z*w(a) - 4*d(a).
-2*a**3
Let n be 11 + (1 + -2)*0. Let r(h) be the first derivative of h**4 + 3*h**3 - 3*h**2 + 36. Let u(f) = -2*f**3 - 5*f**2 + 3*f. Determine n*u(g) + 6*r(g).
2*g**3 - g**2 - 3*g
Let u(n) = -7*n + 2. Let r(s) be the third derivative of -s**4/4 + s**3/3 + 2*s**2. Suppose q - 15 = 4*q. Give q*r(y) + 4*u(y).
2*y - 2
Suppose 4 = -b + 2*b. Let i = b - 2. Let c(l) = 2*l**2 - 2*l - 2. Let v be c(i). Let z(x) = 3*x. Let o(a) = -2*a. Determine v*z(h) + 4*o(h).
-2*h
Let x(d) = d**2 - 2*d + 1. Let p(v) = -v**2 + v. What is -3*p(h) - x(h)?
2*h**2 - h - 1
Let r(w) = -w + 8. Let j be r(7). Le
|
{
"pile_set_name": "DM Mathematics"
}
|
*-1 a prime number?
True
Suppose 15 = 6*n + 3. Suppose -w = -2*d + 7*d - 261, -n*w + 486 = -2*d. Let j = -83 + w. Is j a composite number?
False
Is ((-109042)/5)/((-214)/535) composite?
False
Suppose -66*b = -53*b - 122083. Is b a prime number?
True
Let a = -1718 - -4277. Is a a composite number?
True
Suppose -2*b + 19930 = -4*i, 0 = -4*i + 4 - 12. Is b a composite number?
True
Let w(p) be the first derivative of p**2/2 + p - 5. Let m be w(-8). Let v = m + 29. Is v composite?
True
Suppose -3942 - 8931 = -21*w. Is w composite?
False
Let q(n) = 37*n - 8. Let u(f) be the second derivative of f**3/6 - 4*f**2 - 9*f. Let b be u(15). Is q(b) prime?
True
Let g = 3223 - -2656. Is g a composite number?
False
Let n(k) = k**3 - 31*k**2 + 28*k - 119. Is n(37) prime?
False
Let z be ((-16)/(-8))/(2/5). Suppose 5*o - b - 832 = 0, -z*o - b = 4*b - 850. Let a = o - 46. Is a composite?
True
Let t(v) = -38*v + 28. Let j be t(13). Let q = 839 + j. Is q a composite number?
False
Let p = 17639 + -11500. Is p composite?
True
Let b be ((-4)/10)/((-2)/(-40)). Let d = b - -10. Suppose 0*s - 5*n + 143 = d*s, 2*s = -4*n + 138. Is s a prime number?
True
Let n(u) = -21*u + 22. Let k be n(-6). Let t = k - -1231. Is t prime?
False
Let y(c) = -18*c**2 + 47*c - 44. Let d be y(19). Let v = -3316 - d. Is v a prime number?
True
Suppose -4*a + 25 = 3*b + 5, -3*b = -4*a - 4. Suppose -4*d = -11 - 5. Suppose 4*h - 84 = -a*m, 7*m = 3*h + d*m - 72. Is h a prime number?
False
Let x(h) = h**3 + 6*h**2 + 8*h + 6. Let i be x(-5). Is 1940/3 + (-3)/i a composite number?
False
Let r(c) = -11*c - 70. Let h be r(-37). Suppose 54 + 116 = 5*v. Suppose o = h + v. Is o prime?
False
Suppose 0*n = k + 3*n - 2288, 3*n = k - 2282. Is k a composite number?
True
Let k(z) = 23*z**2 - 13*z + 163. Is k(10) prime?
True
Suppose t + 3*x + 453 = 2*x, 5*x + 25 = 0. Let g = -17 - t. Is g a composite number?
False
Let c be -3 - 2*(-20)/8. Let w be (6*c)/((-10)/(-150)). Let r = w + 383. Is r composite?
False
Let l(x) = 350*x + 2. Let u be l(6). Let w be 3/9 - u/(-3). Suppose -2*y - w = -3*q, q - 1167 = -4*q + 4*y. Is q a prime number?
False
Let k = 30 + -14. Let z = -13 + k. Is -6 + (6 - z) + 422 a prime number?
True
Let g be 25731/18*(-12)/(-9). Let l = g + -1005. Is l a composite number?
True
Let h(w) = 3*w**3 - 5*w**2 + w + 2. Let c(j) = j**2 + 5*j + 7. Let n be c(-4). Let l be h(n). Suppose q + l = 3*b - 3*q, -2*b + 39 = -5*q. Is b prime?
True
Suppose i = -5*m + 24186, 2*m + 868 - 10545 = -3*i. Is m composite?
True
Suppose 2*z = -z + 21. Let v = -3 + z. Is 500/16 + (-1)/v a composite number?
False
Let s be (-1 + 2)/((-2)/(-16)). Let b be 22/12 - s/(-48). Suppose -5*i + b*i = -537. Is i prime?
True
Let a(f) = -f**2 + f. Let m(x) = -2*x**2 + 14*x + 8. Let g(j) = 3*a(j) - m(j). Let n be g(-11). Is ((-4)/n)/(1/1790) composite?
True
Suppose -5*a + 7 = 4*q - 22, 3*q - 5*a - 13 = 0. Suppose f - q*f - 3355 = 0. Let w = 978 + f. Is w composite?
False
Suppose 3*b = b. Suppose 3*c - 7 - 8 = b. Is 3830/50 + 2/c composite?
True
Suppose 0 = 2*m - 2695 + 185. Is m composite?
True
Let q(r) = 58*r + 41. Suppose -4*t - 3*n + 69 = -2*n, -50 = -3*t + n. Is q(t) a prime number?
False
Suppose -13*g + 135274 = 41219. Is g composite?
True
Let k = 222 - 37. Is k prime?
False
Let f(x) = -x**3 - 5*x**2 + 1. Let q be (-74)/14 + (-12)/(-42). Let o be f(q). Is (2 - (-141 + 3)) + o a composite number?
True
Let i(o) = -6*o**3 + o**2 + 4*o - 1. Let b = 48 - 51. Is i(b) a prime number?
False
Let a(t) = 13*t - 4. Let h be a(1). Suppose 1984 = 4*c - 436. Is 10/(-45) + c/h prime?
True
Is 36/(-162) + 16211/9 a composite number?
False
Suppose 0 = 6*a + a - 13104. Let w = 3233 - a. Is w a composite number?
False
Let b(x) be the second derivative of x**5/20 - x**4/4 + x**3/6 - x**2/2 + 3*x. Let r be b(3). Is r/4*440/4 composite?
True
Let l(m) = 2*m**2 + 6*m + 13. Is l(-7) a prime number?
False
Suppose -2*t + 1775 = z, -1789 = -z + t - 8. Is z a prime number?
False
Let x = 48 - 51. Let f(y) = -18*y**3 + 4*y**2 - y - 4. Is f(x) a composite number?
False
Suppose 0 = 5*x - 23*q + 25*q - 2031, -q + 812 = 2*x. Is x a prime number?
False
Suppose -3*s + 6*q + 20735 = 8*q, 4*q - 4 = 0. Is s a prime number?
True
Let t(d) = -d + 135. Is t(-14) prime?
True
Suppose -5*d - 4*h = -2*h - 10763, h = 3*d - 6460. Is d a composite number?
False
Let w be 924 - (-2 - (-4)/((-3)/(-3))). Let x = 167 + 462. Let s = w - x. Is s a composite number?
False
Let k(o) = -o**3 - 8*o**2 - 9*o - 41. Is k(-14) composite?
True
Let j(d) = 5*d - 25. Let u be j(5). Suppose -8*c + 15*c - 4102 = u. Is c composite?
True
Let f = 29 - 24. Suppose -104 = -f*l + 1551. Is l composite?
False
Suppose 0 = 4*l + 7 + 5, 3*l + 34782 = 3*u. Is u composite?
True
Suppose -2*q + 3*q - 5 = 0. Let n(o) = -8*o + o**3 - q*o - 6*o**2 + 19 - 6*o**2 - 14*o. Is n(18) a prime number?
False
Suppose 67*x - 1734355 = 32*x. Is x composite?
True
Let f be (-1)/9 - (-478)/9. Let h = 36 + f. Is h a composite number?
False
Let f be (-6)/27 + (-7172)/(-36). Suppose -5*q - f = 511. Let r = -39 - q. Is r prime?
True
Is (-558520)/220*44/(-8) prime?
True
Suppose 5*u - 4*x - 16127 = 0, 4*u - 4*x - 7416 = 5488. Is u composite?
True
Suppose 2*v = -3*t - 3*v + 274, -3*v - 468 = -5*t. Let u(m) = m**2 - 14*m + 4. Let d be u(14). Suppose d*w - 91 = t. Is w a composite number?
True
Is (106/(-8))/(40/(-18080)) composite?
True
Let a(i) = -i. Let d be a(0). Suppose d = 4*s - 3*u - 1916 - 3612, 3*s + 4*u = 4171. Is s a prime number?
False
Let r be (5 - 5 - (-6)/(-2)) + 15. Is (-2 + (-20367)/r)*1*-4 a prime number?
False
Suppose -3*a + g = 4*g - 24, 0 = 4*a + 2*g - 22. Suppose a*r = 2*n + n + 81, -2*n = 4*r - 78. Is r a prime number?
False
Let m = -22 + 26. Suppose 0 = -j - m, -2*j = 2*t + 3*j - 2778. Is t a prime number?
True
Let b be (-3)/15*-4*90. Suppose 2*u + 3*i - b - 110 = 0, 5*u + i - 455 = 0. Is u a composite number?
True
Let x be -3 + 3 + 0 + 2. Suppose j - x = -2*g + 9, 0 = -2*j + g + 12. Suppose 3*u - j*u = -1324. Is u a prime number?
True
Let l be 3 + 57/3 - -3. Suppose 3*a + l + 14 = 0. Is -388*(3 - a/(-4)) prime?
True
Let p(h) = 627*h**2 - 59*h - 17. Is p(-14) a composite number?
False
Let i = 1278 + 667. Is i composite?
True
Suppose -10*l + 23104 = -73446. Is l prime?
False
Let x = -44 + 43. Is 234 + 13 + x + 3 composite?
True
Suppose 3*a + a + 448 = 0. Let t be a/(-63) + (-4)/(-18). Suppose -1523 = -t*o - 261. Is o a composite number?
False
Let d(l) = -l. Let h be d(10). Let x = h - -10. Suppose -4*i + 2*c = -3*c - 1762, -4*i - c + 1774 = x. Is i composite?
False
Suppose 0 = -5*w - 20, 0 = n - 3*w - 16. Suppose r - n*k = -4*r + 13, -r = -4*k + 7. Suppose 112 + 73 = r*j. Is j prime?
True
Let n(g) = -2*g**3 + 8*g**2 + 5*g - 7. Let s be n(-5). Suppose 119 = -b + 2*f + s, 1451 = 5*b + f. Is b composite?
True
Suppose -5*q = 2*n - 21 + 6, 4*n = -2*q + 6. Suppose -2*y - 10 = n, 2*b + 2*y - y - 263 = 0. Is (0 - (-1)/2)*b prime?
True
Let y(m) = -m**2 - 6*m - 1. Let z be y(-5). Let v be 1/(z*4/64). Is ((-109)/v)/((-2)/8) a composite number?
False
Suppose 44*k - 4*k - 99920 = 0. Is k composite?
True
Suppose -7 = i + 4*v, -3*i - i + 5*v = -56. Let c be 1*(8 + 3/(-1)). Let g = c + i. Is g a prime number?
False
Suppose 0 = 6*n - n, 5*q + 4*n = 1085. Is q composite?
True
Let n = -14240 + 22463. Is n a composite number?
True
Let x(d) = d**3 - 2*d**2 - 2*d - 1. Suppose -4*z + 0*z = -12. Let k be x(z). Suppose -k*s = 2, o + 5*s = 501 - 135. Is o composite?
True
Let d(u) = 28*u - 6. Let w(m) = 29*m - 7. Let r(l) = -4*d(l) + 3*w(l). Let p be r(-3). Let x = p - 41. Is x composite?
False
Suppose 0*y - y = -3*w + 26986, 5*w - 2*y - 44977 = 0. Suppose -8*j + 3*j = -w. Is j prime?
False
Let c(p) = p**3 - 2*p**2 + 2*p - 2. Let r be c(3). Let h = 239 + -231. Suppose h*x - r*x = -325. Is x prime?
False
Is (1/3)/(-1)*(-56 - 60781) composite?
True
Let q(v) = -136*v - 1. Let w be q(-7). Suppose 0 = 12*k - 15*k + w. Is k a prime number?
True
Let g be (-2)/((-12)/39) + 1/(-2). Suppose 0 = g*b - 1764 - 3570. Is b composite?
True
Suppose 3*k + 533 = 2*l - 3113, 0 = -3*l + 3*k + 5463. Let j = 72 + l. Is j a composite number?
False
Let i be (-2)/8 + 111/12. Suppose -r + 7 - 4 = 2*u, 4*u + 3*r = i. Suppose 3*g - f - 155 = u, 4*f = -0*g - g + 69. Is g prime?
Tr
|
{
"pile_set_name": "DM Mathematics"
}
|
-12*l + 10*l = 3*j - 76811, 2*j - 51177 = 3*l. Does 49 divide j?
False
Suppose 158*j - 153*j = 12*a - 513, -5*a + 2*j = -214. Does 11 divide a?
True
Suppose -c = -4*m - 273 + 6897, -4968 = -3*m - c. Suppose -2*a = -6*a + m. Does 18 divide a?
True
Is 7/(-3)*38232/(-18) a multiple of 28?
True
Let g = -239 + 1416. Suppose -g = -12*t + 167. Is 14 a factor of t?
True
Does 19 divide (0 + (6 - -199))*(0 - -1)?
False
Suppose -7*n = -2*n + 2*v - 58189, 6 = -2*v. Is n a multiple of 12?
False
Let u(x) = 2*x**2 - 2*x - 14. Let y be u(-7). Suppose 0 = -2*j + 5*k - 2, 5*j - 2*j - 19 = 2*k. Suppose -y = -j*q + 2*q. Is 2 a factor of q?
True
Suppose -2*g = 4*f - 138, 5*g = 2*g - 2*f + 195. Let s be 5/4*g/15*4. Is (-1667)/(-7) - -2 - 3/s a multiple of 40?
True
Suppose -5*z + 12*z = 42. Let w(a) = -3*a**2 + 30 - 7*a - 40 + 5*a**2. Is w(z) even?
True
Is (-32)/72 - 79000/(-36) a multiple of 98?
False
Let i = -6 + 61. Let t = 58 - i. Suppose 3*f - 696 = -p, -t*p - 232 = -f + 2*p. Is 29 a factor of f?
True
Suppose 0 = 5*g - 9*g - 8. Let d(x) = x**3 + 4*x**2 + 4*x + 3. Let f be d(g). Suppose 0 = -f*p + 3*z + 354, 0 = -5*p - z + 4*z + 582. Is p a multiple of 15?
False
Suppose 0 = 4*r - 5 - 3, 16 = 2*k + 3*r. Suppose k = -2*f + 17. Suppose -f*c + 4*c + 12 = 0. Does 2 divide c?
True
Suppose -k + 3424 = -5*c, 127*k = 132*k + c - 17146. Is k a multiple of 3?
True
Suppose -127*w - 137262 = -2823312. Does 94 divide w?
True
Suppose 2*x = 3*q + 10381, -16*q + 13*q = -x + 5195. Is x a multiple of 70?
False
Suppose -2*q + 326 = -5*o - 385, 3*o + 15 = 0. Suppose -5*c - 18 + q = 0. Suppose -g + 206 = 3*d, d + 5*g = g + c. Does 13 divide d?
False
Suppose -5*x - 20*p + 44 = -24*p, 4*x + p - 52 = 0. Is -218*(2/(-5))/(x/15) a multiple of 4?
False
Let l = -221 + 1300. Suppose 3*n - 118 = l. Is 82 a factor of n?
False
Let l(q) = -6*q**3 + 7*q**2 + 4*q - 1. Let s be l(6). Let y = 2005 + s. Is 82 a factor of y?
True
Suppose -3*o + 2701 = 2*k, -28*o + 30*o + 4*k = 1814. Let c = o - 406. Is c a multiple of 10?
False
Let m(x) = 60*x - 16. Does 14 divide m(39)?
True
Suppose -27*t = -97168 - 141971. Does 17 divide t?
True
Suppose -3*j + 2*j = -2*u + 382, 0 = -4*j - 5*u - 1593. Let x be (-2)/11 + j/22 + 0. Is x/6 + (38 - 1) a multiple of 17?
True
Suppose 69*x - 65*x - t - 1272 = 0, 3*x - 8*t = 954. Is 159 a factor of x?
True
Does 14 divide (-17568)/(-35) + 2 + (-282)/(-4935)?
True
Let l(d) = d**3 + 4*d - 6. Let s be l(-6). Let y = 448 + s. Suppose -4*t + y = n + 74, -n + 4*t = -96. Is 30 a factor of n?
False
Let i(g) = 10*g + g - 7*g - 33. Let a(w) = -20*w + 166. Let y(m) = 2*a(m) + 11*i(m). Does 7 divide y(16)?
False
Does 7 divide -5 - (17/(-68) - ((-219159)/12)/(-3))?
True
Suppose -48*r + 51161 + 103591 = 0. Does 52 divide r?
True
Is 4 a factor of -4*(-5)/(-30) + (-1841)/(-21)?
False
Let p = -41121 + 96801. Is p a multiple of 82?
False
Suppose 27*s + 22*s = 9*s + 2245440. Is s a multiple of 8?
True
Let c(f) = 4*f**2 + 27*f - 101. Let v be c(5). Let d = -14 + v. Does 15 divide d?
True
Suppose 10 = 8*r - 6. Suppose r*z - 158 = 18. Is 11 a factor of z?
True
Let l be (-61 - -26) + 0/((-6)/2). Is ((-28)/l)/((-6)/(-4200)) a multiple of 20?
True
Suppose 0 = 4*n - 5*v + 13 + 2, 0 = 4*v + 20. Let q be 5/(n/8) + 8. Suppose 5*g - 612 = -q*d, 5*g - 4*d + 185 = 773. Is 15 a factor of g?
True
Let c be ((-3)/2)/(21/(-3206)). Let o = 1034 - c. Suppose 5*k = -3*n - 2*n + o, -k + 146 = -2*n. Is k a multiple of 26?
True
Suppose -2*i = 4*j + 60, 5*j = i + 3*j + 14. Let n = 19 - i. Is 10 a factor of 1 + n - (3 - 4)?
False
Let v = 659 + -455. Let p = 234 - v. Does 4 divide p?
False
Is 6 a factor of 1926/2*(-32)/30*75/(-30)?
True
Let d(r) = -1. Let f(h) = -41*h - 5. Let o(w) = -2. Let j(i) = f(i) - 4*o(i). Let v(c) = 3*d(c) - j(c). Is 33 a factor of v(9)?
True
Suppose 2*d - 5678 - 15377 = -h, -4*h - 20 = 0. Is d a multiple of 30?
True
Suppose -93*p = -48530 - 235306. Does 2 divide p?
True
Suppose 2 - 182 = -9*o. Let r = 46 - o. Let y = r - -52. Is y a multiple of 26?
True
Let k = 10 + -3. Suppose 0 = -n + 1 - k. Is n/(-4)*(3 - 1 - -4) a multiple of 4?
False
Let v(a) = -42*a + a**3 - 44*a + 75*a + 10*a**2 + 16 + 0*a**3. Is 45 a factor of v(8)?
True
Let t(v) be the first derivative of 152*v**2 - 21*v - 113. Does 13 divide t(1)?
False
Let r be ((-360)/(-140))/(-1*(-2)/56). Suppose 43*b - r*b = -7337. Is 14 a factor of b?
False
Let y be 166/(-913) - 12588/(-22). Suppose 2*w + 4*n - y = 0, 9*n = 3*w + 12*n - 846. Is 29 a factor of w?
False
Let t(m) = m**3 + 4*m**2 - m - 2. Suppose -f = 3*d + 10, -d = -2*d - f - 2. Let s be t(d). Suppose 0 = 5*g + 25, 2*g - 288 = -s*w + 4*g. Is 27 a factor of w?
False
Let t be 0/(3/(-1*(4 + -5))). Is 1191 - -1 - (t + (-12)/3) a multiple of 14?
False
Let v be 9/(-4 - 3/(-18)*22). Let o = -22 - v. Suppose p - 71 = -5*m, -5*m = -0*p - o*p + 295. Does 13 divide p?
False
Let j(b) = b**2 + 8*b + 776. Let t be j(0). Is t + (-23)/((-115)/(-30)) a multiple of 55?
True
Suppose 199*f = 146394 + 122256. Is f a multiple of 6?
True
Let p(t) = 116*t**2 + 505*t**2 - 46*t**2 + 45*t - 87*t - 11 + 54*t. Does 36 divide p(1)?
True
Suppose -11*w = -15*w + 40. Let h be (-16)/(0 + (-4)/w). Suppose 2*y - 3*y + 31 = 3*m, -4*m - 2*y + h = 0. Is 11 a factor of m?
True
Let d = -7160 - -12195. Is 265 a factor of d?
True
Suppose 0 = 4*b + 4, 0 = 2*w + 126*b - 133*b - 3063. Is 3 a factor of w?
False
Let b be (12/(-20))/((-1)/65). Let v = b - -22. Suppose 95 = 6*g - v. Is 3 a factor of g?
False
Let p(o) = o**2 - 42*o - 11. Let s = -130 - -121. Is p(s) a multiple of 14?
True
Let f = -1611 + 1655. Suppose 105 = -4*r + u, -6 = -u + 3*u. Let z = f + r. Is z a multiple of 17?
True
Let p be (0 - 294)/(2 + (-28)/8). Suppose -5*z - p = -z. Let h = z + 109. Does 19 divide h?
False
Suppose 0 = -z + 2*d + 41 + 195, 0 = -z - 4*d + 206. Suppose -10 + 16 = 3*s. Suppose s*y = 12 + z. Is y a multiple of 17?
True
Let k(y) = -y**2 + 4*y - 1. Let q be k(3). Let a(c) = 30*c - 3. Is a(q) a multiple of 6?
False
Suppose y = -1, y + 1481 = -5*i + 9*i. Suppose x = 5*l + 368, i = -x + 2*x - 3*l. Is x a multiple of 6?
False
Let l be (24/16)/3*-28. Is 6 a factor of (-1342)/l + -1 - (-64)/448?
False
Suppose -193*r + 1403904 = 47*r - 2107296. Is 22 a factor of r?
True
Let q be (-23)/(-2) - 5/(-10). Suppose 0*w - 4*b = w - 49, q = 3*b. Let l = w + -24. Is l even?
False
Let k = -859 + 2329. Suppose 9*f - k = -26*f. Does 41 divide f?
False
Let j(b) = -97 + b - 22*b + 45. Let d be j(-7). Is 10/d - (-1195)/19 a multiple of 21?
True
Is 68 a factor of (0 - 9)/((-20)/9000)?
False
Let v(w) = 50*w**2 - 8*w - 60. Is v(-6) a multiple of 149?
True
Let l(p) = p**3 - 3*p**2 - 4*p + 833. Suppose 23*i + 28*i = 22*i. Is 25 a factor of l(i)?
False
Let g(p) = p**3 - 11*p**2 - 10*p + 4. Suppose 5*o + 200 = 3*l - 3, -5*l = 3*o - 327. Suppose 3*t = -i + 7 + 27, 5*t - 3*i - l = 0. Is g(t) a multiple of 15?
False
Let a(x) = 437*x - 2541. Is a(18) a multiple of 15?
True
Let w be 5/((-180)/(-17097)) - (-2)/24. Let u = -139 + w. Is 14 a factor of u?
True
Let p = -12 + 3. Suppose -4*r + 106 = -d - 16, -r + d = -29. Let v = p + r. Is 10 a factor of v?
False
Is ((-90)/8)/(-7 - 3/((-43320)/101065)) a multiple of 38?
True
Let s(g) = 70*g**3 + 6*g**2 - 46*g + 188. Does 55 divide s(4)?
False
Let j(n) = 469*n - 1394. Is 33 a factor of j(20)?
True
Let b = -44534 + 79214. Is 120 a factor of b?
True
Suppose -81 = r - 71. Let q(w) = -18*w - 60. Is 24 a factor of q(r)?
True
Let i be 20*(-12)/(-56) - (-8)/(-28). Suppose 186 = i*g - 23*p + 26*p, 3*g - 5*p = 154. Is 4 a factor of g?
True
Suppose 53 = -3*f - 7. Let m be (-160)/12 + f/(-6) + -3. Let x = -7 - m. Is x a multiple of 3?
True
Is (-1 + 15 + -2)/(420/65240) a multiple of 8?
True
Let v(z) = 5*z + 158. Let y be v(21). Suppose 1331 = 2*l - y. Is l a multiple of 39?
False
Let b = -12807 - -18333. Is 121 a factor of b?
False
Let j = -36959 - -58019. Is 54 a factor of j?
True
Let a be 2/14 - 54730/(-70). Let t = 1189 - a. Is t a multiple of 11?
True
Suppose -8730 = 12*s - 27*s. Let d = s - 410. Does 43 divide d?
True
Suppose -543 = -3*p - 0*p - 111. Does 4 divide p?
True
Suppose -349*a + 345*a + 25805 = -5*c, -5*c = -2*a + 12905. Is 258 a factor of a?
True
Suppose 47454 = 4*j - 85274 - 12692. Does 66 divide j?
False
Suppose 4*p - 31 =
|
{
"pile_set_name": "DM Mathematics"
}
|
989.
-5
What is -3 divided by 11211?
-1/3737
Calculate -10220 divided by -5110.
2
What is -5 divided by -9827?
5/9827
-90 divided by 20
-9/2
Calculate 23 divided by -191193.
-23/191193
Calculate -1589703 divided by -3.
529901
-990264 divided by 2904
-341
4 divided by -21881
-4/21881
Divide 111573 by -12397.
-9
What is 134440 divided by -5?
-26888
2964 divided by 30
494/5
Calculate 5 divided by -57425.
-1/11485
21757 divided by -11
-21757/11
What is 344490 divided by 22966?
15
Divide -1049598 by 27.
-38874
What is -12659 divided by 4?
-12659/4
What is 288132 divided by 4?
72033
What is -32 divided by 399?
-32/399
Calculate -66474 divided by -9.
7386
Calculate -33327 divided by -9.
3703
Divide -1136 by -16.
71
-2609158 divided by 41
-63638
Divide -2064 by -129.
16
Divide -124748 by -13.
9596
Calculate -19 divided by 2495.
-19/2495
What is -213180 divided by 44?
-4845
131 divided by -5790
-131/5790
-367 divided by -212
367/212
Calculate 68390 divided by -9770.
-7
What is 574 divided by 2?
287
-102780 divided by 2
-51390
Divide -6 by -627789.
2/209263
Calculate 4 divided by -26514.
-2/13257
Calculate -77477 divided by 2.
-77477/2
-30388 divided by -62
15194/31
What is 140776 divided by -2?
-70388
0 divided by 54931
0
-86955 divided by -561
155
What is -5314 divided by 1006?
-2657/503
Divide 1466352 by 162928.
9
Divide 252594 by 126297.
2
Calculate 375609 divided by 13.
28893
What is -8316 divided by -42?
198
-138180 divided by -588
235
7705 divided by -335
-23
Calculate 90542 divided by -5.
-90542/5
1480685 divided by -5
-296137
-15240 divided by 762
-20
What is -582673 divided by -4381?
133
-28 divided by -1293
28/1293
What is 7948 divided by -1?
-7948
Calculate 3 divided by -4009.
-3/4009
34706 divided by -134
-259
Divide -453201 by 3083.
-147
Divide -114254 by 1.
-114254
Calculate -464165 divided by 2509.
-185
542 divided by 2
271
12 divided by 399
4/133
-17816 divided by 130
-8908/65
What is 3021 divided by -19?
-159
What is 25288 divided by -3161?
-8
What is 92906 divided by 451?
206
Divide 1222350 by 4.
611175/2
What is -9231 divided by -6?
3077/2
Calculate -1846764 divided by 9.
-205196
Calculate 324248 divided by -2.
-162124
What is -585432 divided by -173?
3384
Calculate 150627 divided by -4071.
-37
107481 divided by -11
-9771
Calculate 181021 divided by 157.
1153
119482 divided by 1
119482
What is 119552 divided by 3736?
32
What is 5707 divided by 13?
439
-65726 divided by -6
32863/3
Divide -341 by 22.
-31/2
-1327 divided by -33
1327/33
Divide 449 by 325.
449/325
-70527 divided by 23509
-3
Divide 3211 by -1087.
-3211/1087
What is -6848 divided by 2?
-3424
-3221 divided by -580
3221/580
-274703 divided by 3
-274703/3
-3 divided by 54788
-3/54788
Calculate 103656 divided by 56.
1851
What is -2570 divided by -6?
1285/3
-258860 divided by -4
64715
What is 11 divided by 16498?
11/16498
What is 566995 divided by 113399?
5
Divide 21068 by -4.
-5267
Divide -76627 by 109.
-703
What is -3 divided by -1572?
1/524
What is -550 divided by -491?
550/491
What is -316 divided by -227?
316/227
What is -81235 divided by 2321?
-35
Calculate 3 divided by -222216.
-1/74072
Calculate 4 divided by 52112.
1/13028
Calculate -112 divided by 22577.
-112/22577
Divide -38344 by 4.
-9586
-13 divided by -150
13/150
Calculate 3048 divided by 6.
508
What is 7147036 divided by 274886?
26
What is 45588 divided by -5?
-45588/5
0 divided by -551013
0
293611 divided by -89
-3299
11550 divided by 5775
2
What is -2488 divided by 1244?
-2
2 divided by 19039
2/19039
134592 divided by -32
-4206
Calculate -37150 divided by 7430.
-5
-260 divided by -165
52/33
What is 132274 divided by 4?
66137/2
Divide -679254 by -5.
679254/5
Calculate 221850 divided by -25.
-8874
Calculate -69924 divided by 6.
-11654
4558 divided by 8
2279/4
-4300 divided by 430
-10
What is -1419 divided by 138?
-473/46
-54 divided by 3100
-27/1550
What is 0 divided by 11673?
0
Divide -20550 by -20550.
1
114 divided by -72
-19/12
What is -440770 divided by 5?
-88154
What is 2027340 divided by 405468?
5
Calculate -44695 divided by -2.
44695/2
Calculate -46824 divided by 7804.
-6
What is -7 divided by 2574?
-7/2574
Calculate -10048 divided by -2.
5024
Divide 811 by -49.
-811/49
What is 0 divided by 1002207?
0
What is 100080 divided by -2?
-50040
-18942 divided by 9471
-2
Calculate 6456 divided by 1614.
4
33888 divided by -8472
-4
Calculate -44 divided by 30550.
-22/15275
What is 922560 divided by 9610?
96
What is -3791245 divided by -758249?
5
What is 33384 divided by -8346?
-4
Calculate 532674 divided by -3.
-177558
Divide 49951 by 49951.
1
Calculate 1489020 divided by 28635.
52
Divide -3479 by 1.
-3479
Calculate -765391 divided by -11.
69581
71 divided by 17887
71/17887
483151 divided by 8189
59
What is 87814 divided by -46?
-1909
Calculate -50730 divided by -16910.
3
-164673 divided by -2
164673/2
Calculate -70104 divided by 24.
-2921
What is 38195 divided by -1?
-38195
Calculate 1957 divided by 163.
1957/163
Calculate -12162 divided by -12162.
1
Calculate 44940 divided by -1070.
-42
What is 4963 divided by -153?
-4963/153
Divide 18421 by 3.
18421/3
What is -4639365 divided by 655?
-7083
Divide -227910 by 3.
-75970
What is -1763 divided by 61?
-1763/61
Divide 33 by -1528.
-33/1528
What is 15162 divided by -7?
-2166
What is 69681 divided by 7?
69681/7
Divide -84168 by -1.
84168
Divide 51 by -127671.
-17/42557
Divide -11398 by -82.
139
-179484 divided by 29914
-6
-15975 divided by 5
-3195
Divide -1875120 by 468780.
-4
Calculate 141076 divided by 1.
141076
Calculate 1 divided by 121677.
1/121677
4878216 divided by 348444
14
8570 divided by -3
-8570/3
115206 divided by -5486
-21
What is -6707 divided by 271?
-6707/271
-1498350 divided by -99890
15
Divide 19026 by -9513.
-2
Calculate -450687 divided by 150229.
-3
-70221 divided by 267
-263
28674 divided by -118
-243
What is -31592 divided by -10?
15796/5
Divide -27768 by -156.
178
-990 divided by -2358
55/131
What is 4536 divided by 8?
567
3892 divided by 3892
1
What is 1641049 divided by -4?
-1641049/4
What is -10334 divided by -48?
5167/24
What is -399102 divided by -6?
66517
10967 divided by 10967
1
Calculate 13 divided by 63338.
13/63338
What is 568 divided by -52?
-142/13
What is -103760 divided by 25940?
-4
-20985 divided by -1399
15
-884387 divided by 4
-884387/4
38540 divided by -9635
-4
Calculate 238825 divided by 5.
47765
What is -986 divided by 239?
-986/239
-205200 divided by -13680
15
11520 divided by -1440
-8
Divide 11292204 by 6.
1882034
What is -51000 divided by 340?
-150
What is -1322608 divided by 482?
-2744
What is 46593 divided by 15531?
3
Calculate 0 divided by -57611.
0
Calculate -121900 divided by -23.
5300
59852 divided by 4604
13
What is -537077 divided by -1?
537077
33 divided by -1505
-33/1505
46671 divided by 993
47
What is 1776 divided by 24?
74
What is -33852 divided by 28?
-1209
Calculate 15 divided by -3796.
-15/3796
Calculate 17808 divided by -3.
-5936
-4 divided by -312229
4/312229
Calculate 3856 divided by -1928.
-2
Calculate 118144 divided by -26.
-4544
Divide -370278 by -18.
20571
What is -997696 divided by -3668?
272
What is 0 divided by -8948?
0
379890 divided by 12663
30
Calculate 1269384 divided by 423128.
3
Calculate 736389 divided by 153.
4813
Divide -143580 by -28716.
5
Divide -8205 by -25.
1641/5
Calculate 26143 divided by 2.
26143/2
Divide 1 by -565394.
-1/565394
What is 83784 divided by -6982?
-12
Divide -4356 by -121.
36
What is 196352 divided by 128?
1534
Divide 5140 by 6.
2570/3
Divide -178563 by 3.
-59521
What is -61 divided by -92?
61/92
Calculate 82136 divided by 4.
20534
What is 330480 divided by 612?
540
Calculate -32644 divided by 8161.
-4
What is -5 divided by -62213?
5/62213
What is -1899 divided by -105?
633/35
Calculate 126663 divided by 1.
126663
Calculate 2 divided by -50379.
-2/50379
Calculate -80143 divided by 6.
-80143/6
What is 3 divided by -2648?
-3/2648
-323664 divided by 14712
-22
Divide -6 by 111159.
-2/37053
1172 divided by 7
1172/7
Calculate -19586 divided by -1.
19586
What is -26032 divided by 4?
-6508
Divide 61424 by 41.
61424/41
What is -3109 divided by -95?
3109/95
Divide -864204 by 4.
-216051
-15363 divided by 569
-27
Divide -901 by -205.
901/205
Divide -36695 by -5.
7339
Calculate -774
|
{
"pile_set_name": "DM Mathematics"
}
|
actors of y.
2
Let l(u) = u**2 + 4*u. List the prime factors of l(3).
3, 7
Suppose 0 = -9*n - n + 90. List the prime factors of n.
3
Let k(g) be the first derivative of g**5/60 - g**4/12 + g**3 - 2. Let t(h) be the third derivative of k(h). What are the prime factors of t(2)?
2
Suppose 0 = -3*n - 2*w - 34, 0*n + 4*w + 58 = -5*n. Let j = 0 - 4. List the prime factors of n/j*(-2 - -4).
5
Suppose 4*s - 18 = -2*h, 2*h + 0 = s + 3. Suppose h*k - 11 = 2*k. What are the prime factors of k?
11
Suppose -t - 13 = o, -4*o - 3*t + 6*t - 45 = 0. Let n = -7 - o. Suppose -5*k - 2*g + 42 = -17, n*k = -3*g + 61. List the prime factors of k.
11
Let z be (10 - 3 - 1) + -2. Suppose -3*n - 1 = -i - 3, 5*n + 6 = 4*i. List the prime factors of (i - z) + 4 + 0.
2
Suppose -2*b + 3*v + 13 + 10 = 0, 5*b + v = 15. Suppose -75 = n + b*n. Let u = n + 23. What are the prime factors of u?
2
Let w(c) = -2*c - 5. Let z be w(-5). Suppose p = 4*f + 18, -z*p + 0*f + 18 = -2*f. Let x = p + 0. List the prime factors of x.
2
Suppose 2*x + 5 = -3*x. Let p(g) = g**2 + g + g**3 - g**3 - 3*g**3. What are the prime factors of p(x)?
3
Suppose 0 = 7*s - 106 - 6. List the prime factors of s.
2
Suppose -2*c - 5*d = -0*d + 25, c - 15 = 3*d. List the prime factors of c + (-3)/((-3)/2).
2
Let h be (-2 - -4)*(-3)/2. Let a(s) = 4*s + 3. Let r(g) = 4*g + 2. Let f(w) = 5*a(w) - 6*r(w). What are the prime factors of f(h)?
3, 5
Let o = 6 - 15. Let i = 14 + o. Suppose -49 - 6 = -i*v. What are the prime factors of v?
11
Let k(w) = -5*w + 1. Let q be k(1). List the prime factors of -6 - q - -5*1.
3
Suppose 4*a + 6 = -10, 2*y - 4*a = 68. What are the prime factors of y?
2, 13
Let f(o) = -5*o - 14. List the prime factors of f(-14).
2, 7
Suppose 2*s - 5*u = -21, -2*s - 5*u = -0*s - 29. Suppose -2 - 4 = -s*v. Suppose -44 = -v*p - p. What are the prime factors of p?
11
Let l(g) = g**2 + 2. Let y be l(-2). Suppose -d - 3*o + 30 = 0, -5*d + y*o - o = -110. List the prime factors of d.
2, 3
Suppose 0 = 6*m - 4*m - 5*c - 30, -5*c = 0. Suppose -5*g + 4*g + m = 0. List the prime factors of g.
3, 5
Let y = 0 + 1. Let f = 1 + y. Suppose 0 = 3*j - 32 + f. What are the prime factors of j?
2, 5
Let z = 10 + 21. What are the prime factors of z?
31
Let t(w) = 2*w**2 - 6*w - 2. What are the prime factors of t(6)?
2, 17
Suppose -3*m + 20 = m. Suppose 0 = -4*x - 4*l + 44, 0 = -3*x + x - m*l + 34. What are the prime factors of x?
7
Let t(f) = 36*f**3 - f**2 - f + 2. Let i be t(1). Suppose -i = -5*c - 4*h + 18, 0 = 4*h + 16. List the prime factors of c.
2, 7
Let j(c) = 3*c - 7. Let h be j(5). Let g = 19 - h. Let z = 22 - g. What are the prime factors of z?
11
Let g(w) = w**3 + 8*w**2 - 9*w. Let j be g(-9). Suppose p + 28 = 3*c - j*p, -c + 5*p = -14. List the prime factors of c.
3
Suppose -151 = -3*g - 34. What are the prime factors of g?
3, 13
Let j(k) = 16*k**2 - k + 3. List the prime factors of j(-2).
3, 23
Let y be (-5)/(1 - (0 - -2)). Let r(k) = k**2 - 4*k - 1. Let i be r(y). Suppose 5*c - 2*o - 31 = 0, -o + i = o. What are the prime factors of c?
7
Let b = -25 - -42. Suppose -5*n = -2*r - b, -2*r = -3*r + 3*n - 9. List the prime factors of ((-10)/r)/((-1)/(-3)).
5
Suppose -2*v + 91 = 1. What are the prime factors of v?
3, 5
Let q(i) = -i**2 - 7*i - 5. Let m(o) = -o. Let n(z) = 5*m(z) + q(z). What are the prime factors of n(-10)?
3, 5
Let u(n) = -n**2 + 15*n - 4. Let x be u(11). Suppose 2*j = -3*j + x. List the prime factors of j.
2
Suppose -5*k - 37 = -532. What are the prime factors of k?
3, 11
Suppose j - 5*l = 40 + 103, 0 = 4*j - 5*l - 632. List the prime factors of j.
163
Let x(r) = 8 + 0 - r + 25. List the prime factors of x(0).
3, 11
Let v(g) = -3*g + 4. Let f(u) = u**2 + 7*u - 3. Let z be f(-7). Let k be v(z). List the prime factors of k/4 + (-1)/4.
3
Let v(k) = -k**3 + k**2 + k - 20. Let r be v(0). Let n be (-11)/(-4) - 5/r. Suppose 11 = -n*c + 4*c. List the prime factors of c.
11
Let z(r) = 101*r + 3. What are the prime factors of z(1)?
2, 13
Suppose 5*i + 4*l - 45 = 0, 3*i - 5*l - 20 = -6*l. Suppose 0 = -4*v + i*v - 25. List the prime factors of v.
5
Let n = 29 + -29. Suppose n = d - 39 - 2. What are the prime factors of d?
41
Let z be -3 + (2 - -3) + -4. Let x(p) = p**3 - 2*p**2 - 3*p + 2. Let d be x(3). List the prime factors of z*(-5 + 2) + d.
2
Let o be ((-12)/10)/((-15)/1150). Suppose -4*a = -0*a - o. What are the prime factors of a?
23
Suppose -b - 6 = 2*b. What are the prime factors of (26/(-10) - b)*-25?
3, 5
Let l = 2 - -1. Suppose -5*w = -17 - l. List the prime factors of (-28)/w*1*-1.
7
Let w = -41 - -156. What are the prime factors of w?
5, 23
Let b(c) = -50*c + 5. Let n be b(2). Let d = -48 - n. What are the prime factors of d?
47
Suppose 5 = 2*r - 11. What are the prime factors of r?
2
List the prime factors of 212/7 - 18/63.
2, 3, 5
Let f(x) = -x**3 - 3*x**2 - x - 3. Let m = 8 + -12. Let c be f(m). Let d = -8 + c. List the prime factors of d.
3
Let q = 28 + -17. Let m(l) = -l + 1. Let n be m(0). Suppose q - n = r. What are the prime factors of r?
2, 5
Suppose a - 6 = -2*a. Let j(s) = -2*s**2 - 9*s - 3. Let v(u) = -2*u**2 - 8*u - 2. Let q(k) = 5*j(k) - 6*v(k). What are the prime factors of q(a)?
11
Let v(u) = -u**2 - 5*u + 3. Let d(q) = -4*q**2 + 4*q - q**3 - 3*q**2 + 8 + 2*q**2 + 4*q. Let s be d(-6). What are the prime factors of v(s)?
7
Let g be (90/35)/((-2)/98). List the prime factors of g/(-12) + 2/(-4).
2, 5
Let s(j) = j**2 - 8*j - 6. Let a be s(9). Suppose 0 = p - a - 0. What are the prime factors of p?
3
Suppose -5*v + 105 = 15. What are the prime factors of v?
2, 3
Suppose 0*o = o - 21. Let n = o - 6. What are the prime factors of n?
3, 5
Suppose 3*y - 3*o + 12 = 0, 2*y + 0*o + 3*o = 12. Suppose y = -4*z - 5*p + 69, 6*z - 11 = 5*z + 5*p. What are the prime factors of z?
2
Let c(h) = -h**2 - 9*h + 5. List the prime factors of c(-9).
5
Let q = -49 - -97. List the prime factors of q.
2, 3
Let v = 18 - -3. List the prime factors of v.
3, 7
Suppose -5*b + n - 2*n = -24, -2*b + 2*n = 0. Suppose -4*s = 0, -v + s = -b*s - 3. List the prime factors of v.
3
Suppose -a = -1 - 32. List the prime factors of a.
3, 11
Suppose -4*s + 3*s + 41 = 5*u, 6 = u - 2*s. Let d = 11 - u. Suppose -q - 10 = -p, -2*p - d*p - 2*q + 85 = 0. What are the prime factors of p?
3, 5
Let b = 28 - 21. Let c = 34 - b. List the prime factors of c.
3
Let p = -72 - -152. List the prime factors of p.
2, 5
Suppose f - 15 = 5*g + 2, -5*f + 131 = -2*g. Suppose 81 - f = 2*x. What are the prime factors of x?
3
What are the prime factors of 4/((-4)/(-205)) + (10 - 11)?
2, 3, 17
Let c(l) = -l**2 - 12*l - 11. Let b be c(-10). Let y(g) = -17*g**3 + 1. Let n be y(-1). Let r = n - b. What are the prime factors of r?
3
Let c be (4/(-6))/((-3)/1350). What are the prime factors of c/28 + 2/7?
11
Let v(z) = z**3 - 9*z**2 - z + 11. What are the prime factors of v(9)?
2
Let c be (-646)/(-12) - (-2)/12. Suppose 0 = 5*w + 3*v - 0*v - 159, -c = -2*w + 2*v. List the prime factors of w.
2, 3, 5
Suppose 0 = 6*w - 2*w - 952. List the prime factors of w.
2, 7, 17
Suppose -2*j = 2*j + 4. List the prime factors of 3/j - 46/(-2).
2, 5
Let t be 1/4 + 1253/28. Suppose 5*s - 110 = -t. What are the prime factors of s?
13
Let d = -5 + 8. Let l = d - 3. Suppose -p + 0 + 3 = l. List the prime factors of p.
3
Let z be (1 - 1)*(-4)/(-8). Suppose 10 = 2*h + h + 4*l, -l + 25 = 3*h. Suppose 5*v + h = z, 6*c - v - 38 = 2*c. List the prime factors of c.
3
Suppose -3*p = -22 - 2. Suppose l + c = 11, -c + p = -l + 27. What are the prime factors of l?
3, 5
Let s(l) = l**3 - l**2. Let j(k) = 3*k**3 - 10*k**2 - 10*k - 5. Let f(v) = -j(v) + 2*s(v). What are the prime factors of f(9)?
2, 7
Let s be ((-54)/(-12))/(3/4). Suppose -n - 2 = -2*n. Suppose 5*f - 22 = 3*o, n*o - 18 = -f + s*o. List the prime factors of f.
2
Let r = 131 + -92. Let a = -20 + r. What are the prime factors of a?
19
Suppose -6 = -2*d - 2. Let i(x) = d*x - x - 8 + 4*x + x**2. What are the prime factors of i(-7)?
2, 3
Let l(r) = 3*r - 6. Suppose 3*s = s - 10. Let n be l(s). List the prime factors of 98/n*(-3 - 0).
2, 7
Suppose 3*v = -4*s + 15, s - 4*v + 0*v = -1. Suppose 2*k + 2 = 0, 5*g - 2*k + 25 = 3*k. Let q = s - g. List the prime factors of q.
3
Let i = -3 + 2. Let c be ((i + 0)*0)/(-2). Suppose 5*m
|
{
"pile_set_name": "DM Mathematics"
}
|
0.5. Let b = 187 - 184. Put -2, b, w in descending order.
b, w, -2
Let r be (-120)/(-36) + 2/(-6). Suppose -2*t + 19 = -2*s - s, 5*s + 2*t + 21 = 0. Let q = -9 - s. Put 4, r, q in decreasing order.
4, r, q
Let j(q) = -q**3 + 5*q**2 - 5*q + 1. Let s be j(4). Let t = s - 0. Let a = 4.4 - 4. Sort a, -2/9, t in increasing order.
t, -2/9, a
Let u(y) = y**3 + 1 + 1 - 4 + 3*y**2 - y. Let i be u(-3). Put 4, 0, i in increasing order.
0, i, 4
Let z be 2/4*(1 - -1). Suppose 3*x - z = 5. Suppose -x*h = 2*h + 4. Sort h, -4, 3.
-4, h, 3
Let f = 28.6 - 29. Sort f, 0.07, 5 in ascending order.
f, 0.07, 5
Suppose 0 = -4*v - 6 + 2. Sort 6, v, 0 in decreasing order.
6, 0, v
Let s = 1.1 + 0.9. Sort s, 0.3, 1/4.
1/4, 0.3, s
Let c be 2*(-1)/(-2) - -3. Sort c, 7/3, -0.5 in decreasing order.
c, 7/3, -0.5
Let a(f) = f**2 + 4*f. Let b be a(-2). Let p = -31 + 32. Put p, 2, b in increasing order.
b, p, 2
Let a = 5 + -6. Let l = 12 + -10.8. Let u = l + 3.8. Sort u, a, 1/4 in decreasing order.
u, 1/4, a
Let z = -23/176 + 5/16. Let u = 6 + -8. Sort u, -0.3, z in ascending order.
u, -0.3, z
Suppose 2*a - 3*f = -3, 5*f - 5 = -2*a + 7*a. Put a, -2, 4 in decreasing order.
4, a, -2
Let m = 0 - 1. Let j be (1 - 2) + 2 + m. Let x(r) = 3*r + 2. Let l be x(-2). Put j, l, 1 in ascending order.
l, j, 1
Let f = 8.1 - 2.1. Sort -3, -2/11, f, -0.3 in ascending order.
-3, -0.3, -2/11, f
Let t = 57 + -58. Put t, 2, -31 in descending order.
2, t, -31
Let z = -0.05 - -2.05. Let r be (4/48)/(3/(-8)). Sort r, -5, z in increasing order.
-5, r, z
Let v(h) = -h - 10. Let y be v(-3). Sort 1/2, y, 4.
y, 1/2, 4
Let o = -30.7 - -29. Let l = o - -3.1. Let b = -1 + l. Sort 1, b, -0.06.
-0.06, b, 1
Let o(i) = 0 + 4 + i + 3 - 3. Let k be o(-9). Sort 1/7, 2/5, k in increasing order.
k, 1/7, 2/5
Let t = -33 - -28. Let f = -3 - -2. Sort -0.5, t, f in increasing order.
t, f, -0.5
Let f = -1593/7 - -228. Sort f, 1/2, -4 in descending order.
1/2, f, -4
Suppose k - 9 = 3*d + 6*k, 5*k = 2*d + 6. Suppose -l + 13 = -0*l - 2*r, 5*l - 17 = -2*r. Put 1, d, l in descending order.
l, 1, d
Let q(f) = -f**3 - 9*f**2 - 7*f - 3. Let r be q(-8). Let s(l) = -l - 6. Let n be s(r). Let g be (-4)/10 + 17/5. Sort n, g, -2 in ascending order.
-2, g, n
Let f = 28 + -31. Sort 3, 1, -4, f in descending order.
3, 1, f, -4
Let t = -95.9 + 101. Let z = t - 0.1. Let i = -4 + 6. Put z, 1/2, i in increasing order.
1/2, i, z
Let j = -1/61 - 113/549. Let l = -3 + 3.53. Let u = 0.03 - l. Sort 0, j, u.
u, j, 0
Suppose -i + 0 - 6 = -2*k, -2*k = i - 14. Put k, -5, -2 in descending order.
k, -2, -5
Let z(l) = -l**2 + 18*l + 14. Let g be z(19). Put 1/5, 3/8, g in decreasing order.
3/8, 1/5, g
Let y(g) = -g**3 - 6*g**2 + 2. Let n be y(-6). Suppose n*a = -a + 6. Let i = 0.6 - 0.4. Put i, a, -0.2 in decreasing order.
a, i, -0.2
Suppose -3*g - 2 - 5 = 2*h, -2*h - 12 = -2*g. Suppose 0 = 5*s - 0*s - 20. Sort h, 3, s in descending order.
s, 3, h
Let c(j) = -j**2 + 7*j + 1. Let b be c(7). Let l = -2 - -1. Suppose 4 = 2*q - 2*n, -4*n = n - 15. Put q, b, l in increasing order.
l, b, q
Let b = -8 + 5. Let y = 6 + -8. Let d = -4 + 3. Put b, y, d in descending order.
d, y, b
Let m = 1.1 - 0.8. Suppose -5*s + 10 = 2*r - 22, 0 = 5*s - 20. Let o be (r/(-4))/(3/(-8)). Sort m, o, -3.
-3, m, o
Let l = 47 + -42. Put 10, l, -3 in descending order.
10, l, -3
Let g be (-2)/8 - 5/(-36). Let d = 0.3 + -0.5. Sort d, g, -2/11 in descending order.
g, -2/11, d
Let z(s) = s**2 + s - 3. Let y be z(3). Let p = y - 8. Put -4, 9, p in descending order.
9, p, -4
Let b = 51 + -51.5. Sort b, -1, -0.2, -0.1 in decreasing order.
-0.1, -0.2, b, -1
Let a(b) = b**3 - 2*b**2 - 2*b + 1. Let g be a(2). Let z be (-2)/4 + (-26)/(-4). Suppose -3*m = -z*m + 15. Put 1, m, g in ascending order.
g, 1, m
Let a(g) = -2*g - 6. Let h be a(-5). Suppose -h*l + 11 = -1. Put -2/3, l, -5/3 in descending order.
l, -2/3, -5/3
Let y be (3/(-6))/(52/(-16)). Put -4, 0.5, y in increasing order.
-4, y, 0.5
Suppose 5*u + 14 = -4*y, -2*u = 2*y + 3 + 3. Let i = y - -4. Let r(j) = -j + 4. Let m be r(i). Sort m, 0, 5.
0, m, 5
Let n = -5 - -9. Let y = 2.06 - 0.06. Let p = y + -5. Sort p, n, 2/5 in ascending order.
p, 2/5, n
Suppose 0 = -6*n + 2*n - 4. Let b = 3 + n. Let x(d) = -d**2 - 2*d + 4. Let g be x(-4). Put 0, b, g in decreasing order.
b, 0, g
Suppose 16 = -4*d - 2*z, -6 = 3*d - z + 6. Let y = -6.3 + 6.2. Put d, -1/2, y in increasing order.
d, -1/2, y
Let s be (-1)/(-1) - 4/(-4). Let y = 0 - s. Sort y, 1, 5 in ascending order.
y, 1, 5
Let o be (((-21)/(-4))/1)/(54/(-12)). Put 2/11, o, -5 in decreasing order.
2/11, o, -5
Let w be (-8)/(-6)*3/46. Let n = 3 - 3. Sort w, -3/5, n in descending order.
w, n, -3/5
Let g = 1 + 1. Let z be 9/6*(-2)/(-3). Put 4, g, z in ascending order.
z, g, 4
Let m = -6 - -10. Let c = -10 + 8. Put c, -5, m in increasing order.
-5, c, m
Let v be ((-3)/6 - -1)*2. Suppose -5*p = -a - 6, 0 = 5*p + 5*a - 2*a - 22. Put v, -4, p in decreasing order.
p, v, -4
Let o(l) = 11*l**2 + 16*l - 12. Let x(s) = 4*s**2 + 5*s - 4. Let d(w) = 3*o(w) - 8*x(w). Let n be d(-9). Sort n, -4, -2/7.
-4, -2/7, n
Let p = 119 + -114. Sort -2, p, -0.5, 5/2 in increasing order.
-2, -0.5, 5/2, p
Let g(r) = r**3 - 7*r**2 - r + 9. Let v be g(7). Suppose v = -c - c. Put c, 4, -3 in descending order.
4, c, -3
Let z be (3/2)/(6/16). Sort z, -4, 13, 0.
-4, 0, z, 13
Let x = -9 + 5. Let a(r) = r**3 - 6*r**2 + 5*r + 1. Let p be a(5). Sort -2, x, p in decreasing order.
p, -2, x
Let m = 2.8 + -2.9. Sort -1/3, -0.07, m.
-1/3, m, -0.07
Let d = 3.1 + -3. Let g = 1.9 + d. Let c = 157 + -1728/11. Put c, g, 1 in increasing order.
c, 1, g
Let d(x) be the first derivative of -x**4/4 + 7*x**3/3 - 5*x**2/2 - x + 4. Let f = 2 - -4. Let y be d(f). Put y, -3, -1 in descending order.
y, -1, -3
Let k = -0.1 + 0.1. Let a = 126.5 - 127. Sort a, k, -0.2 in decreasing order.
k, -0.2, a
Let q = 175 + -527/3. Sort 3/4, -5, q.
-5, q, 3/4
Let x = -0.2 + -1.8. Let o(k) = k - 14. Let p be o(10). Let n be p/(-6) - 8/9. Sort 2/7, n, x in ascending order.
x, n, 2/7
Let k = -34 + 20. Let w = k + 25. Put w, 2, 5 in decreasing order.
w, 5, 2
Let i = 2 + 0. Suppose 3*x - 22 = 5*t, -2*x + i = -2*t - 6. Let z be ((-4)/6)/((-4)/(-18)). Sort -0.2, z, x.
z, x, -0.2
Suppose 15 - 43 = 7*m. Suppose -1 = 3*z + 4*r, 5*z = z - 2*r + 2. Let w be (2 - 1)/z - 0. Put w, m, 4 in decreasing order.
4, w, m
Let k be -9*(-1)/(-1 + 0). Let i(h) = 10*h + 58. Let s be i(-6). Sort k, -3, s in increasing order.
k, -3, s
Let o = -35.3 + 34. Let k = o - -5.3. Sort k, 5, 4/7 in decreasing order.
5, k, 4/7
Let j = -4 + 2. Put j, 3, -4 in decreasing order.
3, j, -4
Suppose -f = -0*f - 1. Let z = 1 - f. Let a be (-154)/(-44) - 2/(-4). Sort -2, z, a in increasing order.
-2, z, a
Let t = 27 + -23. Put 0.2, t, -2 in ascending order.
-2, 0.2, t
Let w = 142 + -146. Put -6, 2, w in descending order.
2, w, -6
Let b = 8 - 0. Suppose 2 = 2*t - 4*a, t - b = 5*t - 4*a. Let v(p) = p**2 + 4*p - 6. Let k be v(t). Put 3, -4, k in descending order.
3, k, -4
Let j be 1/(-3)*36/228. Sort -5, j, -2/3 in descending order.
j, -2/3, -5
Let z be (-8)/92 + ((-16)/(-184) - -4). Suppose 5 = 4*q + 5*y + 42, 5*q + 3*y + 30 = 0. Sort 3, z, q.
q, 3, z
Let z be 5*((-6)/(-15) + 1). Put 0, 2, z in increasing order.
0, 2, z
Let c = -1.7 + 3.7. Let d = 14/15 - 3/5. Put c, -5, d in increasing order.
-5, d, c
Suppose -p + l - 7 = 0, 2*l + 1 = -2*p - p. Let n(c) = -c**2 - c + 1. Let m be n(0). Put m, p, 0 in decreasing order.
m, 0, p
Let x = 0.1 + 3.9. Let l = 0.36 - -0.04. Sort l, x, -3.
-3, l, x
Suppose -12 = b - 2*c, 3*b + 6 = -4*c - 0. Let y be (3 + -2)/(2/b). Sort 5, 0, y in decreasing order.
5, 0, y
Suppose -4*n - y + 0*y + 11 = 0, 5*y = -25. Let q = 8 + -6. Let o = -28 - -29. Put n, o, q in descending order.
n, q, o
Let t = -0.34 + 4.34. Sort 1, t, 1/3, 3 in increasing order.
1/3, 1, 3, t
Let z = -12 - -9. Let i(j) = -j - 2. Let k(y) = -2*y + 9. Let p be k(6). Let t be i(p). Put -1, t, z in ascending order.
z, -1, t
Suppose -4*h = -5*d + d - 20, -4*d - 12 = 0. Put -5, 30, h in increasing order.
-5, h, 30
Let h = 0.41 + -0.33. Sort 0.2, h, -1 in descending order.
0.2, h, -1
Let b be (5/(-2))/(7/(-14)). Let l = 0.2 + -1.2. Sort b, 0.5, l in descending order.
b, 0.5, l
Let v be 0 - ((-2)/(-2) - 0). Suppose 0 = -2*w - 2, -w
|
{
"pile_set_name": "DM Mathematics"
}
|
m of -1040, -2272, -3698, -5312, -7108, -9080?
w**3 - 103*w**2 - 930*w - 8
What is the d'th term of 19541, 39121, 58701, 78281?
19580*d - 39
What is the q'th term of -1192, -1920, -2646, -3370, -4092, -4812?
q**2 - 731*q - 462
What is the o'th term of 43740, 43762, 43800, 43854, 43924, 44010, 44112?
8*o**2 - 2*o + 43734
What is the s'th term of 24, 35, 62, 117, 212, 359?
2*s**3 - 4*s**2 + 9*s + 17
What is the z'th term of -16390, -16392, -16402, -16426, -16470, -16540?
-z**3 + 2*z**2 - z - 16390
What is the k'th term of -40600, -162355, -365280, -649375?
-40585*k**2 - 15
What is the b'th term of -100, -63, -24, 17, 60?
b**2 + 34*b - 135
What is the p'th term of 142, 89, -94, -485, -1162?
-13*p**3 + 13*p**2 - p + 143
What is the b'th term of -41395, -41389, -41383, -41377?
6*b - 41401
What is the a'th term of -376, -355, -320, -271?
7*a**2 - 383
What is the j'th term of -8121, -15855, -23589, -31323?
-7734*j - 387
What is the s'th term of -134948, -134950, -134952, -134954, -134956?
-2*s - 134946
What is the p'th term of -36287, -72563, -108839, -145115?
-36276*p - 11
What is the i'th term of 96881, 193767, 290655, 387545, 484437?
i**2 + 96883*i - 3
What is the y'th term of 21206, 21204, 21200, 21194, 21186, 21176?
-y**2 + y + 21206
What is the a'th term of -34311, -68612, -102903, -137178, -171431, -205656, -239847?
a**3 - a**2 - 34305*a - 6
What is the h'th term of 4183, 4031, 3879, 3727, 3575?
-152*h + 4335
What is the y'th term of -223, -145, -21, 143, 341, 567?
-y**3 + 29*y**2 - 2*y - 249
What is the r'th term of -230951, -923817, -2078595, -3695285?
-230956*r**2 + 2*r + 3
What is the f'th term of -19, -163, -565, -1357, -2671, -4639?
-22*f**3 + 3*f**2 + f - 1
What is the x'th term of -39, -8, 29, 60, 73, 56?
-2*x**3 + 15*x**2 - 52
What is the k'th term of 18263, 36535, 54807, 73085, 91375, 109683, 128015?
k**3 - 6*k**2 + 18283*k - 15
What is the h'th term of 8, -72, -224, -442, -720?
h**3 - 42*h**2 + 39*h + 10
What is the q'th term of 31664, 31666, 31668, 31670, 31672?
2*q + 31662
What is the j'th term of 181987, 727966, 1637943, 2911924, 4549915?
j**3 + 181993*j**2 - 7*j
What is the a'th term of 14539, 14555, 14571, 14587, 14603, 14619?
16*a + 14523
What is the v'th term of -2393, -4744, -7045, -9290, -11473, -13588, -15629?
v**3 + 19*v**2 - 2415*v + 2
What is the i'th term of -14762, -29519, -44262, -58985, -73682, -88347, -102974, -117557?
i**3 + i**2 - 14767*i + 3
What is the x'th term of 21576, 21544, 21512, 21480, 21448, 21416?
-32*x + 21608
What is the o'th term of 878, 3727, 8480, 15143, 23722, 34223?
o**3 + 946*o**2 + 4*o - 73
What is the q'th term of 767334, 1534669, 2302004, 3069339, 3836674, 4604009?
767335*q - 1
What is the h'th term of 5268, 5369, 5638, 6159, 7016, 8293, 10074?
14*h**3 + 3*h + 5251
What is the a'th term of 307, 1158, 2583, 4588, 7179, 10362?
a**3 + 281*a**2 + a + 24
What is the k'th term of 494305, 988608, 1482911?
494303*k + 2
What is the w'th term of 3357, 13447, 30277, 53853, 84181, 121267, 165117?
w**3 + 3364*w**2 - 9*w + 1
What is the m'th term of -5101, -10201, -15301, -20401?
-5100*m - 1
What is the k'th term of -253, -601, -949?
-348*k + 95
What is the j'th term of -383, -767, -1135, -1481, -1799, -2083?
j**3 + 2*j**2 - 397*j + 11
What is the f'th term of -186, -314, -388, -408, -374, -286?
27*f**2 - 209*f - 4
What is the a'th term of -913, -2664, -4415, -6166, -7917?
-1751*a + 838
What is the m'th term of -9532, -19056, -28580, -38104?
-9524*m - 8
What is the b'th term of 56072, 56068, 56064, 56060?
-4*b + 56076
What is the w'th term of 18000, 36019, 54024, 72009, 89968, 107895?
-w**3 - w**2 + 18029*w - 27
What is the s'th term of 7240, 14446, 21652, 28858?
7206*s + 34
What is the a'th term of -163767, -327520, -491275, -655032, -818791?
-a**2 - 163750*a - 16
What is the a'th term of -154, -251, -348, -445?
-97*a - 57
What is the l'th term of 865, 1256, 1647, 2038, 2429, 2820?
391*l + 474
What is the q'th term of -126980, -126981, -126982, -126983, -126984, -126985?
-q - 126979
What is the o'th term of -1562518, -1562517, -1562514, -1562509, -1562502?
o**2 - 2*o - 1562517
What is the f'th term of -6206, -12414, -18622, -24830, -31038?
-6208*f + 2
What is the h'th term of -180, -385, -580, -759, -916, -1045?
h**3 - h**2 - 209*h + 29
What is the z'th term of -379, -450, -569, -736, -951, -1214, -1525?
-24*z**2 + z - 356
What is the c'th term of 124, 1141, 2158?
1017*c - 893
What is the t'th term of 539, 1096, 1671, 2270, 2899, 3564, 4271, 5026?
t**3 + 3*t**2 + 541*t - 6
What is the u'th term of -749855, -1499708, -2249561?
-749853*u - 2
What is the q'th term of 578, 953, 1578, 2453?
125*q**2 + 453
What is the d'th term of -77952, -77958, -77950, -77922, -77868, -77782, -77658, -77490?
d**3 + d**2 - 16*d - 77938
What is the u'th term of 77, 84, 67, 14, -87?
-2*u**3 + 21*u + 58
What is the o'th term of -180, -373, -566, -759, -952, -1145?
-193*o + 13
What is the n'th term of -2679, -5482, -8521, -11916, -15787, -20254, -25437?
-20*n**3 + 2*n**2 - 2669*n + 8
What is the z'th term of 100, 95, 90, 85, 80, 75?
-5*z + 105
What is the b'th term of -85, -691, -2333, -5527, -10789?
-86*b**3 - 2*b**2 + 2*b + 1
What is the r'th term of 5003, 10013, 15023, 20033, 25043?
5010*r - 7
What is the a'th term of 2090, 2094, 2100, 2108, 2118?
a**2 + a + 2088
What is the z'th term of -7766, -7764, -7762?
2*z - 7768
What is the a'th term of 5254, 42385, 143172, 339445, 663034, 1145769, 1819480, 2715997?
5305*a**3 - 2*a**2 + 2*a - 51
What is the d'th term of -247772, -247769, -247766?
3*d - 247775
What is the c'th term of 8160, 32620, 73386, 130458, 203836?
8153*c**2 + c + 6
What is the s'th term of -262, -482, -1120, -2386, -4490?
-35*s**3 + s**2 + 22*s - 250
What is the t'th term of -5074, -20296, -45666, -81184, -126850, -182664?
-5074*t**2
What is the o'th term of -174, -1227, -4072, -9603, -18714, -32299, -51252, -76467?
-149*o**3 - 2*o**2 - 4*o - 19
What is the i'th term of -115, -79, -41, -1, 41?
i**2 + 33*i - 149
What is the t'th term of -14071, -28143, -42215, -56287, -70359?
-14072*t + 1
What is the t'th term of 128840, 257680, 386520, 515360?
128840*t
What is the m'th term of -1660, -1638, -1616?
22*m - 1682
What is the m'th term of -2191, -4259, -6329, -8401, -10475?
-m**2 - 2065*m - 125
What is the i'th term of -1714, -6756, -15164, -26938?
-1683*i**2 + 7*i - 38
What is the u'th term of 105, 1156, 4113, 9930, 19561, 33960, 54081, 80878?
159*u**3 - u**2 - 59*u + 6
What is the y'th term of -2461, -2514, -2611, -2758, -2961, -3226, -3559?
-y**3 - 16*y**2 + 2*y - 2446
What is the f'th term of -344, -355, -382, -431, -508?
-f**3 - 2*f**2 + 2*f - 343
What is the g'th term of 1203053, 2406106, 3609159, 4812212?
1203053*g
What is the o'th term of 87, 73, 37, -27, -125, -263?
-o**3 - 5*o**2 + 8*o + 85
What is the v'th term of -72189, -72188, -72187, -72186, -72185, -72184?
v - 72190
What is the x'th term of -22, -49, -44, 5, 110?
2*x**3 + 4*x**2 - 53*x + 25
What is the q'th term of -140785, -281570, -422355, -563140, -703925, -844710?
-140785*q
What is the g'th term of -14188, -14183, -14174, -14161, -14144, -14123, -14098?
2*g**2 - g - 14189
What is the p'th term of -1907, -3785, -5693, -7643, -9647, -11717?
-2*p**3 - 3*p**2 - 1855*p - 47
What is the s'th term of -3329, -3104, -2881, -2660, -2441, -2224, -2009?
-s**2 + 228*s - 3556
What is the b'th term of 981, 3301, 7161, 12555, 19477, 27921, 37881, 49351?
-b**3 + 776*b**2 - b + 207
What is the r'th term of 3429, 6842, 10241, 13620, 16973, 20294, 23577?
-r**3 - r**2 + 3423*r + 8
What is the v'th term of 7331, 12949, 18567?
5618*v + 1713
What is the k'th term of -4885, -9848, -14829, -19834, -24869, -29940, -35053, -40214?
-k**3 - 3*k**2 - 4947*k + 66
What is the g'th term of -1518, -1605, -1692, -1779?
-87*g - 1431
What is the c'th term of -76388, -305335, -686914, -1221125, -1907968?
-76316*c**2 + c - 73
What is the x'th term of 89, 265, 421, 557?
-10*x**2 + 206*x - 107
What is the d'th term of -111827, -223694, -335555, -447404, -559235, -671042, -782819, -894560?
d**3 - 3*d**2 - 111865*d + 40
What is the o'th term of -3602, -7642, -11682?
-4040*o + 438
What is the q'th term of -608, -1133, -1572, -1925, -2192?
43*q**2 - 654*q + 3
What is the m'th term of 14112,
|
{
"pile_set_name": "DM Mathematics"
}
|
der when 2588 is divided by 70.
68
Calculate the remainder when 3527 is divided by 704.
7
What is the remainder when 31 is divided by 16?
15
Calculate the remainder when 22039 is divided by 16.
7
Calculate the remainder when 5051 is divided by 79.
74
Calculate the remainder when 830 is divided by 61.
37
Calculate the remainder when 260 is divided by 167.
93
What is the remainder when 10782 is divided by 16?
14
Calculate the remainder when 3110 is divided by 518.
2
What is the remainder when 189 is divided by 40?
29
Calculate the remainder when 39 is divided by 7.
4
What is the remainder when 1117 is divided by 361?
34
Calculate the remainder when 1278 is divided by 61.
58
Calculate the remainder when 247 is divided by 15.
7
Calculate the remainder when 1112 is divided by 13.
7
Calculate the remainder when 1527 is divided by 304.
7
Calculate the remainder when 781 is divided by 131.
126
Calculate the remainder when 10255 is divided by 5123.
9
Calculate the remainder when 600 is divided by 105.
75
Calculate the remainder when 138 is divided by 14.
12
What is the remainder when 410 is divided by 156?
98
What is the remainder when 166 is divided by 14?
12
What is the remainder when 1208 is divided by 110?
108
Calculate the remainder when 196 is divided by 38.
6
What is the remainder when 51 is divided by 50?
1
What is the remainder when 359 is divided by 15?
14
Calculate the remainder when 3521 is divided by 87.
41
What is the remainder when 363 is divided by 11?
0
What is the remainder when 111 is divided by 19?
16
Calculate the remainder when 103 is divided by 11.
4
What is the remainder when 131 is divided by 7?
5
Calculate the remainder when 547 is divided by 65.
27
Calculate the remainder when 198 is divided by 35.
23
Calculate the remainder when 269 is divided by 122.
25
Calculate the remainder when 460 is divided by 149.
13
What is the remainder when 6761 is divided by 23?
22
Calculate the remainder when 723 is divided by 29.
27
What is the remainder when 3572 is divided by 11?
8
Calculate the remainder when 445 is divided by 422.
23
Calculate the remainder when 160 is divided by 43.
31
What is the remainder when 3694 is divided by 231?
229
What is the remainder when 15433 is divided by 15?
13
Calculate the remainder when 435 is divided by 49.
43
What is the remainder when 63 is divided by 3?
0
What is the remainder when 115 is divided by 63?
52
Calculate the remainder when 2266 is divided by 13.
4
Calculate the remainder when 244 is divided by 42.
34
Calculate the remainder when 2723 is divided by 47.
44
Calculate the remainder when 8436 is divided by 13.
12
What is the remainder when 322 is divided by 158?
6
What is the remainder when 527 is divided by 40?
7
What is the remainder when 879 is divided by 16?
15
Calculate the remainder when 88 is divided by 33.
22
What is the remainder when 5932 is divided by 56?
52
Calculate the remainder when 195 is divided by 84.
27
What is the remainder when 57 is divided by 40?
17
What is the remainder when 8743 is divided by 159?
157
What is the remainder when 5838 is divided by 146?
144
Calculate the remainder when 339 is divided by 73.
47
Calculate the remainder when 80 is divided by 70.
10
What is the remainder when 256 is divided by 18?
4
What is the remainder when 8976 is divided by 4484?
8
Calculate the remainder when 1106 is divided by 33.
17
What is the remainder when 4828 is divided by 8?
4
What is the remainder when 616 is divided by 214?
188
What is the remainder when 333 is divided by 130?
73
What is the remainder when 1285 is divided by 39?
37
What is the remainder when 99 is divided by 40?
19
What is the remainder when 1727 is divided by 173?
170
Calculate the remainder when 1465 is divided by 147.
142
What is the remainder when 773 is divided by 51?
8
What is the remainder when 108 is divided by 29?
21
What is the remainder when 1559 is divided by 5?
4
What is the remainder when 29 is divided by 15?
14
What is the remainder when 223 is divided by 75?
73
Calculate the remainder when 41 is divided by 22.
19
Calculate the remainder when 220 is divided by 15.
10
What is the remainder when 119 is divided by 25?
19
What is the remainder when 2057 is divided by 109?
95
Calculate the remainder when 781 is divided by 51.
16
What is the remainder when 129 is divided by 52?
25
Calculate the remainder when 1983 is divided by 455.
163
Calculate the remainder when 239 is divided by 78.
5
What is the remainder when 220 is divided by 16?
12
What is the remainder when 702 is divided by 19?
18
Calculate the remainder when 135 is divided by 28.
23
What is the remainder when 548 is divided by 10?
8
What is the remainder when 644 is divided by 108?
104
Calculate the remainder when 211 is divided by 50.
11
What is the remainder when 176 is divided by 89?
87
What is the remainder when 8962 is divided by 11?
8
Calculate the remainder when 67 is divided by 36.
31
What is the remainder when 46 is divided by 31?
15
What is the remainder when 145 is divided by 21?
19
What is the remainder when 1338 is divided by 445?
3
Calculate the remainder when 12299 is divided by 75.
74
What is the remainder when 5633 is divided by 47?
40
What is the remainder when 284 is divided by 77?
53
Calculate the remainder when 177 is divided by 45.
42
What is the remainder when 1292 is divided by 186?
176
What is the remainder when 1110 is divided by 87?
66
Calculate the remainder when 342 is divided by 3.
0
What is the remainder when 1249 is divided by 25?
24
What is the remainder when 308 is divided by 26?
22
Calculate the remainder when 454 is divided by 114.
112
Calculate the remainder when 3846 is divided by 1917.
12
What is the remainder when 89 is divided by 30?
29
Calculate the remainder when 512 is divided by 173.
166
Calculate the remainder when 161 is divided by 61.
39
What is the remainder when 473 is divided by 96?
89
Calculate the remainder when 873 is divided by 431.
11
What is the remainder when 37 is divided by 13?
11
Calculate the remainder when 322 is divided by 121.
80
Calculate the remainder when 3520 is divided by 141.
136
Calculate the remainder when 2322 is divided by 194.
188
What is the remainder when 93 is divided by 10?
3
Calculate the remainder when 186 is divided by 63.
60
What is the remainder when 137 is divided by 18?
11
Calculate the remainder when 134 is divided by 116.
18
What is the remainder when 1528 is divided by 170?
168
What is the remainder when 135 is divided by 51?
33
What is the remainder when 2272 is divided by 53?
46
Calculate the remainder when 1333 is divided by 167.
164
Calculate the remainder when 1030 is divided by 316.
82
Calculate the remainder when 17999 is divided by 40.
39
What is the remainder when 765 is divided by 252?
9
What is the remainder when 167 is divided by 158?
9
What is the remainder when 1525 is divided by 120?
85
Calculate the remainder when 620 is divided by 32.
12
What is the remainder when 133 is divided by 75?
58
Calculate the remainder when 76 is divided by 11.
10
Calculate the remainder when 1588 is divided by 134.
114
What is the remainder when 2430 is divided by 32?
30
What is the remainder when 2711 is divided by 23?
20
What is the remainder when 1369 is divided by 41?
16
What is the remainder when 1593 is divided by 28?
25
Calculate the remainder when 347 is divided by 116.
115
What is the remainder when 714 is divided by 29?
18
Calculate the remainder when 457 is divided by 66.
61
What is the remainder when 2242 is divided by 22?
20
What is the remainder when 83 is divided by 14?
13
Calculate the remainder when 1362 is divided by 194.
4
What is the remainder when 119 is divided by 26?
15
Calculate the remainder when 4207 is divided by 61.
59
Calculate the remainder when 61 is divided by 21.
19
Calculate the remainder when 74 is divided by 8.
2
Calculate the remainder when 1050 is divided by 8.
2
What is the remainder when 10293 is divided by 100?
93
What is the remainder when 84 is divided by 83?
1
Calculate the remainder when 4836 is divided by 966.
6
What is the remainder when 239 is divided by 228?
11
Calculate the remainder when 208 is divided by 43.
36
Calculate the remainder when 82 is divided by 29.
24
What is the remainder when 154 is divide
|
{
"pile_set_name": "DM Mathematics"
}
|
= 2*l, 3*t + z*l = 191 + 31. Calculate the greatest common divisor of 8 and t.
8
Let l(j) be the second derivative of j**4/12 + 7*j**3/3 - 3*j**2 + 8*j. Let f be l(-13). Let q = f + 28. What is the greatest common divisor of q and 9?
9
Let u(i) = -i - 12. Let m be u(-13). What is the highest common divisor of m and 2?
1
Let o = 10 + -138. Let b be (-6)/(-27) - 2/9 - o. What is the highest common factor of 16 and b?
16
Suppose f = 2*f - 4*x - 33, 0 = 3*x + 15. Suppose 0 = m + f - 14. What is the greatest common factor of 11 and m?
1
Suppose -4*q - 2*o = -3266, 2*o + 1085 = 5*q - 3020. What is the highest common factor of 63 and q?
63
Let t(v) = v**3 + 3*v**2 - 2*v - 3. Let k be t(-5). Let s = k - -58. What is the highest common factor of 165 and s?
15
Let w = 123 + -87. Suppose p + w = 3*p. Calculate the highest common divisor of 18 and p.
18
Suppose 0 = -160*d + 114*d + 3864. What is the highest common factor of d and 644?
28
Let b(r) = r**3 - 3*r**2 + 3*r - 2. Let f be b(2). Suppose 5*w = -f*w + 1030. Let g be (-10)/(-40) + w/8. What is the highest common divisor of 130 and g?
26
Suppose 343 = 12*a + 43. Let b = a - -23. Suppose 0 = -5*u - 4*n + n + 57, 3*u = -4*n + 32. What is the greatest common divisor of b and u?
12
Let s(k) = -3*k**3 + 28*k**2 + 2*k + 1. Let t be s(8). Calculate the highest common divisor of t and 63.
21
Let f(j) = -j**2 - 14*j - 6. Let r be f(-6). Suppose -5*z + 3*k = -185, -z - k + 37 = 4*k. Let u = -16 + z. What is the highest common divisor of u and r?
21
Suppose 2*i - 24 = 6*i. Let h(p) = 2*p**2 + p - 3. Let b be h(i). Calculate the highest common factor of b and 9.
9
Suppose -25*d = -35*d + 2430. What is the greatest common divisor of 3 and d?
3
Let o(w) = -2*w + 3. Let b(h) = -h**3 + 13*h**2 - 13*h + 11. Let j be b(12). Let g be o(j). Calculate the greatest common factor of 10 and g.
5
Let n = 163 + 165. What is the greatest common divisor of 8 and n?
8
Let k be (-32)/112 + 60/14. Suppose -7*b + k*i + 370 = -2*b, 5*i + 95 = b. Let l be ((-32)/20)/((-2)/35). What is the greatest common divisor of b and l?
14
Suppose 451*o - 452*o = -224. Calculate the highest common factor of 1456 and o.
112
Suppose -4*i = 0, 26 = 3*m - 5*i - 34. What is the greatest common divisor of 140 and m?
20
Let m be (5/(-1))/20*4*-290. Calculate the highest common divisor of m and 15.
5
Suppose 15 = -3*y + 39. Let a = y + 17. What is the greatest common factor of 275 and a?
25
Suppose -8*f + 8 = -32. Let l be ((-4)/f)/((-1)/30). Calculate the greatest common divisor of l and 48.
24
Suppose 8 = 4*x, -3*t - 2*t = 2*x - 1889. Calculate the highest common factor of 29 and t.
29
Let f = -644 - -710. Calculate the highest common divisor of 96 and f.
6
Let q(b) = -b**3 + 8*b**2 - 4*b + 11. Let j be q(8). Let g be ((234/4)/9)/(2/12). Let v = j + g. Calculate the highest common divisor of 27 and v.
9
Let i(o) be the second derivative of -o**4/12 - 5*o**3/6 + 4*o**2 + 2*o. Let y be i(-8). Let p = y + 17. Calculate the greatest common factor of 2 and p.
1
Suppose 3*n = -4*t + 2292, 5*n = 3*t - 1722 - 26. What is the highest common factor of 72 and t?
72
Let x(r) = -r + 17. Let j be x(7). Let y = j - 14. Let o be (-3 - y)*1*30. Calculate the greatest common factor of 10 and o.
10
Let h(f) = -40*f + 682. Let j be h(16). Calculate the greatest common divisor of 1344 and j.
42
Let l(c) = 32*c + 10. Let g be l(10). Let d be (20/2 - 1)/((-24)/(-80)). Calculate the highest common factor of g and d.
30
Let l be 0 + -7 + (-3 + 5 - 2). Let w(i) = -9*i - 25. Let c be w(l). Calculate the highest common divisor of c and 266.
38
Let s(t) = t**3 + 2*t - 1 + 3 - 3*t**2 - 1. Let i be s(2). What is the highest common divisor of 9 and i?
1
Let q(n) = 2*n**2 + 10*n + 6. Let k be q(-6). Let d(j) = -j**3 + 11*j**2 - 7*j - 93. Let b be d(7). What is the highest common factor of k and b?
18
Let s = 1383 + -1346. Calculate the highest common factor of 1961 and s.
37
Let p be 5*1*112/5. Let b be ((-416)/p)/((-2)/14). Let x(q) = q**3 + 9*q**2 + 2*q + 8. Let k be x(-6). What is the greatest common divisor of b and k?
26
Suppose 0 = 20*w - 15*w - 60. Let m = w + 1. Calculate the greatest common divisor of m and 221.
13
Let i = 70 - 181. Let r = i + 315. Calculate the highest common divisor of 34 and r.
34
Let l = 340 - 307. Calculate the greatest common factor of l and 77.
11
Let a = 55 + -18. What is the greatest common factor of 296 and a?
37
Let i = 31 - 35. Let n be -8*i/16*2. Suppose 0 = -4*x - 20, 2*g - 60 = 5*x - 23. Calculate the highest common factor of n and g.
2
Suppose -3*j - 420 = -7*j. Calculate the greatest common factor of 45 and j.
15
Let b(c) = -c**2 - 24*c - 139. Let n be b(-12). Let p(y) = y**3 + 5*y**2 - 6*y - 5. Let u be p(-5). Calculate the highest common divisor of u and n.
5
Suppose 5*u - 134 = -2*k, u - 30 = 5*k - 14. What is the greatest common divisor of u and 208?
26
Suppose -179 = -5*d + 2*d + 4*o, 0 = -o - 2. Let q = -33 + d. Calculate the greatest common divisor of q and 60.
12
Let b = 113 + -77. Suppose 0 = -w + 4*a + b, w + 3*a - 28 = 1. Let d = -1148 - -1164. What is the greatest common factor of d and w?
16
Let k(p) = 7*p**2 - 3*p + 2. Let j be k(2). Suppose 0 = 2*w + w - j. Suppose -11 - 61 = -9*y. What is the greatest common divisor of w and y?
8
Let j be 6 - ((-16)/(-12))/((-6)/9). Suppose 2 = -j*w + 10*w. Suppose 2*u = -u + 15. Calculate the greatest common factor of w and u.
1
Let h(b) = b**3 + 15*b**2 + 9. Let p(y) = y**2 - 1. Let c(t) = h(t) + 6*p(t). Let f be c(-21). What is the greatest common factor of f and 2?
1
Let j = 227 + -211. What is the highest common factor of 368 and j?
16
Let n be (-96)/(-9) - 4/6. Suppose 4*x = -3*x + 280. Calculate the greatest common divisor of n and x.
10
Let y = -1389 - -2120. What is the greatest common divisor of 129 and y?
43
Let f(y) = y**2 - 52*y - 9. Let c be f(53). Calculate the greatest common divisor of c and 506.
22
Suppose -15 + 3 = 3*h. Let j(k) = -11*k - 9. Let y be j(h). Calculate the highest common factor of y and 14.
7
Let u = -32 - -59. Let d(v) = -3*v - 8. Let a be d(-7). Let q(c) = c**3 - 14*c**2 + 13*c + 3. Let h be q(a). Calculate the highest common factor of u and h.
3
Let w be 1 + 185/3 - (-1)/3. Suppose -3*a - 3 = -15. Suppose 16 = a*j - 20. Calculate the highest common factor of j and w.
9
Let u(j) = 5*j**2 - 12*j + 5. Let b be u(3). Calculate the highest common factor of 63 and b.
7
Suppose 5 + 13 = 6*t. Suppose 0*w = t*w - 3*l - 24, -4*l = 2*w - 16. Let f be 1 + 2/(-2) - -24. What is the greatest common factor of f and w?
8
Suppose -q = -4, 0 - 2 = -2*n + q. What is the greatest common factor of n and 6?
3
Suppose -1632 = -i - 15*i. Calculate the highest common divisor of 6 and i.
6
Suppose 0 = -y + 2*y. Suppose y = 3*o - 68 - 202. What is the highest common divisor of o and 10?
10
Let x(r) = -6*r**3 - 4*r**2 - 3*r - 2. Let q(h) = h**2 - 8*h + 10. Let m be q(6). Let b be x(m). Calculate the greatest common factor of 24 and b.
12
Let c be (-6)/(-3) + 5 + 2. What is the greatest common factor of c and 33?
3
Suppose 127 = j + 14*o - 18*o, 4*j - 5*o = 563. Calculate the highest common factor of j and 42.
21
Let z(j) = -26*j + 26. Let h be z(14). Let q be (h/39)/(2/(-6)). What is the greatest common factor of 39 and q?
13
Let o(n) = -60 + 66 + 2*n**2 + 0*n - 3*n. Let v be o(4). What is the highest common divisor of 13 and v?
13
Let r(y) = -y**3 + 28*y**2 - 49*y - 30. Let g be r(26). Calculate the greatest common divisor of g and 2688.
48
Let b = 203 + -126. Let t = 15 + -8. Calculate the highest common divisor of b and t.
7
Suppose 5*k + 2*k = 7. Let f be (-21*k)/(0 - 3). Let z be (-2)/(-8) + 3/4. What is the highest common divisor of z and f?
1
Suppose 35 = 4*j + 5*h - 2*h, 2*h - 15 = -j. Suppose -2*y + 123 = -3*l, -5*y + j*l + 295 = -0*y. What is the highest common divisor of 81 and y?
27
Suppose g - 3*g + 4*h = -34, -5*g + 2*h = -45. Let l(c) = 2*c**2 - 6*c - 17. Let d be l(g). Let p = 81 - d. Calculate the highest common factor of 6 and p.
6
Suppose -3*v = 4*d - 2044, -5597 = -5*v + d - 2175. What is the highest common divisor of v and 19?
19
Suppose -2*f + 6 = 4, 4*t = f + 31. Calculate the greatest common factor of 104 and t.
8
Let v(r) = -7*r**3 - r. Let z be v(1). Le
|
{
"pile_set_name": "DM Mathematics"
}
|
59, 1338, 1671, 1482, 495?
-46*z**3 + 291*z**2 - 2*z - 33
What is the a'th term of 6672647, 6672607, 6672567, 6672527, 6672487?
-40*a + 6672687
What is the a'th term of 6015, 3881, 1747, -387, -2521, -4655?
-2134*a + 8149
What is the w'th term of 53949, 53960, 53979, 54006, 54041?
4*w**2 - w + 53946
What is the z'th term of 3101, 1235, -1879, -6241, -11851, -18709?
-624*z**2 + 6*z + 3719
What is the c'th term of 164043816, 164043819, 164043824, 164043831, 164043840, 164043851?
c**2 + 164043815
What is the v'th term of 77055, 77165, 77275, 77385, 77495?
110*v + 76945
What is the k'th term of -143429846, -143429851, -143429856, -143429861, -143429866, -143429871?
-5*k - 143429841
What is the f'th term of 106541, 106937, 108015, 110117, 113585, 118761, 125987, 135605?
57*f**3 - f**2 + 106485
What is the j'th term of -51085325, -102170651, -153255977, -204341303, -255426629?
-51085326*j + 1
What is the j'th term of 4096726, 8193364, 12289916, 16386382?
-43*j**2 + 4096767*j + 2
What is the f'th term of 51618, 103255, 154892?
51637*f - 19
What is the y'th term of -12591, -10443, -8295, -6147?
2148*y - 14739
What is the c'th term of -487212, -487180, -487148, -487110, -487060, -486992?
c**3 - 6*c**2 + 43*c - 487250
What is the t'th term of -1009, 288, 3931, 9920?
1173*t**2 - 2222*t + 40
What is the f'th term of -301176, -301157, -301162, -301203, -301292, -301441?
-2*f**3 + 33*f - 301207
What is the s'th term of 209209, 837015, 1883355, 3348229?
209267*s**2 + 5*s - 63
What is the y'th term of -76473, -149249, -222025, -294801?
-72776*y - 3697
What is the w'th term of -28468438, -28468441, -28468444, -28468447, -28468450?
-3*w - 28468435
What is the b'th term of 956, 1122, 1564, 2426, 3852, 5986, 8972, 12954?
24*b**3 - 6*b**2 + 16*b + 922
What is the l'th term of -1473975, -1473922, -1473833, -1473708, -1473547, -1473350?
18*l**2 - l - 1473992
What is the q'th term of -381985, -3056036, -10314209, -24448564, -47751161, -82514060?
-382010*q**3 - q**2 + 22*q + 4
What is the g'th term of 8824, 16700, 22680, 25816, 25160, 19764, 8680, -9040?
-158*g**3 + 8982*g
What is the g'th term of 4993, 5929, 6865, 7801?
936*g + 4057
What is the b'th term of -18780, -1887, 15006, 31899?
16893*b - 35673
What is the j'th term of 732055, 1464107, 2196159, 2928211?
732052*j + 3
What is the b'th term of -321, 1386, 7009, 18504, 37827, 66934, 107781?
326*b**3 + 2*b**2 - 581*b - 68
What is the p'th term of -6415, -28207, -65379, -117931?
-7690*p**2 + 1278*p - 3
What is the b'th term of -98275, -197713, -297151?
-99438*b + 1163
What is the l'th term of 489946, 489919, 489888, 489853?
-2*l**2 - 21*l + 489969
What is the g'th term of -23067065, -23067064, -23067063, -23067062, -23067061, -23067060?
g - 23067066
What is the a'th term of 1060, 3449, 5842, 8239, 10640, 13045?
2*a**2 + 2383*a - 1325
What is the a'th term of 2600, 11907, 27420, 49139, 77064, 111195, 151532?
3103*a**2 - 2*a - 501
What is the c'th term of -2193, -4164, -5919, -7458, -8781, -9888, -10779?
108*c**2 - 2295*c - 6
What is the n'th term of -2504011, -5008087, -7512163, -10016239, -12520315?
-2504076*n + 65
What is the q'th term of 1524004, 1523990, 1523966, 1523932?
-5*q**2 + q + 1524008
What is the v'th term of -70658490, -141316983, -211975476, -282633969, -353292462?
-70658493*v + 3
What is the t'th term of -7806903, -7806902, -7806901, -7806900, -7806899?
t - 7806904
What is the w'th term of -21763, -42976, -64193, -85420, -106663?
-w**3 + 4*w**2 - 21218*w - 548
What is the k'th term of -585, -4490, -15103, -35784, -69893?
-560*k**3 + 6*k**2 - 3*k - 28
What is the m'th term of 1075, 4294, 9453, 16384, 24919, 34890, 46129?
-28*m**3 + 1138*m**2 + m - 36
What is the y'th term of 64115288, 128230589, 192345890, 256461191, 320576492?
64115301*y - 13
What is the n'th term of -8815, -8813, -8811, -8809?
2*n - 8817
What is the l'th term of 25773, 103929, 234175, 416499, 650889, 937333, 1275819?
-2*l**3 + 26057*l**2 - l - 281
What is the b'th term of 4972, 39911, 134770, 319519, 624128, 1078567?
4995*b**3 - 10*b**2 + 4*b - 17
What is the x'th term of -78824, -78700, -78576, -78452, -78328?
124*x - 78948
What is the y'th term of 147792842, 147792837, 147792832, 147792827, 147792822, 147792817?
-5*y + 147792847
What is the w'th term of 3984, 10320, 16656?
6336*w - 2352
What is the f'th term of 89251, 89258, 89291, 89350, 89435, 89546?
13*f**2 - 32*f + 89270
What is the a'th term of 37794, 37867, 38050, 38397, 38962, 39799, 40962?
9*a**3 + a**2 + 7*a + 37777
What is the q'th term of -34233825, -68467658, -102701491, -136935324?
-34233833*q + 8
What is the o'th term of 504, 1462, 3048, 5268, 8128, 11634, 15792, 20608?
o**3 + 308*o**2 + 27*o + 168
What is the d'th term of -2860, -2138, -932, 758, 2932?
242*d**2 - 4*d - 3098
What is the j'th term of 61912, 248173, 558608, 993217?
62087*j**2 - 175
What is the a'th term of 2644, 2946, 3248?
302*a + 2342
What is the a'th term of -248836, -248734, -248632, -248530, -248428, -248326?
102*a - 248938
What is the t'th term of -103743, -103915, -104089, -104265, -104443, -104623, -104805?
-t**2 - 169*t - 103573
What is the b'th term of -103, 4475, 16907, 41123, 81053, 140627, 223775, 334427?
655*b**3 - 3*b**2 + 2*b - 757
What is the l'th term of 55723, 108974, 162225?
53251*l + 2472
What is the s'th term of 6929, 27767, 62501, 111131, 173657?
6948*s**2 - 6*s - 13
What is the l'th term of 740, 1580, 2936, 5066, 8228, 12680, 18680, 26486?
43*l**3 + 539*l + 158
What is the k'th term of 1957, 9185, 24305, 49831, 88277, 142157?
419*k**3 + 1432*k**2 - k + 107
What is the z'th term of 8326, 33156, 74498, 132358, 206742, 297656?
z**3 + 8250*z**2 + 73*z + 2
What is the f'th term of 68893, 72293, 75693, 79093, 82493?
3400*f + 65493
What is the n'th term of -17202, -16693, -16168, -15621, -15046, -14437?
n**3 + 2*n**2 + 496*n - 17701
What is the o'th term of 13428684, 13428651, 13428558, 13428375, 13428072, 13427619, 13426986, 13426143?
-5*o**3 + 2*o + 13428687
What is the h'th term of -23, -733, -1969, -3725, -5995, -8773?
h**3 - 269*h**2 + 90*h + 155
What is the n'th term of 48831479, 48831472, 48831465, 48831458, 48831451, 48831444?
-7*n + 48831486
What is the p'th term of -271987, -271990, -271993, -271996, -271999, -272002?
-3*p - 271984
What is the i'th term of -15076809, -15076815, -15076821, -15076827, -15076833, -15076839?
-6*i - 15076803
What is the d'th term of 86539153, 86539151, 86539149, 86539147, 86539145?
-2*d + 86539155
What is the m'th term of 1010321, 2020275, 3030229, 4040183, 5050137?
1009954*m + 367
What is the d'th term of 380476, 760846, 1141216, 1521586, 1901956, 2282326?
380370*d + 106
What is the i'th term of -12940, -13398, -13854, -14308, -14760?
i**2 - 461*i - 12480
What is the k'th term of 40, -391, -822?
-431*k + 471
What is the u'th term of -94467085, -188934169, -283401253, -377868337, -472335421, -566802505?
-94467084*u - 1
What is the g'th term of -9122, -18310, -27676, -37310, -47302?
-15*g**3 + g**2 - 9086*g - 22
What is the c'th term of 4237535, 4237555, 4237591, 4237643?
8*c**2 - 4*c + 4237531
What is the j'th term of -652, -1005, -1604, -2455, -3564?
-j**3 - 117*j**2 + 5*j - 539
What is the m'th term of 10911, 21984, 33057?
11073*m - 162
What is the r'th term of 97648, 781297, 2636916, 6250489, 12208000, 21095433?
97664*r**3 + r**2 - 2*r - 15
What is the m'th term of -15133, -21449, -27765?
-6316*m - 8817
What is the t'th term of -7367, -59356, -200741, -476306, -930835, -1609112, -2555921?
-7464*t**3 + 86*t**2 + t + 10
What is the t'th term of 12800, 23084, 33368, 43652, 53936?
10284*t + 2516
What is the z'th term of 2441, 2341, 2213, 2045, 1825, 1541, 1181, 733?
-2*z**3 - 2*z**2 - 80*z + 2525
What is the j'th term of -7558, -30211, -67966, -120823?
-7551*j**2 - 7
What is the g'th term of -854, -1669, -2476, -3281, -4090, -4909, -5744, -6601?
-g**3 + 10*g**2 - 838*g - 25
What is the i'th term of 809, 1363, 1429, 779, -815?
-38*i**3 - 16*i**2 + 868*i - 5
What is the t'th term of 10572, 22496, 34420, 46344, 58268?
11924*t - 1352
What is the d'th term of -13409482, -26818956, -40228430, -53637904, -67047378?
-13409474*d - 8
What is the j'th term of 154736, 155430, 156128, 156830?
2*j**2 + 688*j + 154046
What is the y'th term of 14, -576, -2196,
|
{
"pile_set_name": "DM Mathematics"
}
|
0/13*y**2 + 20/13 = 0.
-5, -2/7, 1
Suppose -6*g = -8*g - 4. Let r be (((-8)/(-20))/1)/(g/(-10)). Factor -8*a**2 - 10*a**r + 2*a**4 - 10*a**2 + 26*a**2.
2*a**2*(a - 1)*(a + 1)
Let j(o) = -o**3 + 5*o**2 - 59*o - 79. Let q be (-2)/(-2)*-6 + 39 + -35. Let v(w) = -2*w**2 + 20*w + 26. Let s(x) = q*j(x) - 7*v(x). Find t such that s(t) = 0.
-4, -1, 3
Suppose -15223*b = -14826*b - 1588. Factor 4*t + 4/3 + 1/3*t**b + 2*t**3 + 13/3*t**2.
(t + 1)**2*(t + 2)**2/3
Let o(y) = -2*y + 28. Let h(n) = n + 1. Let z be h(12). Let j be o(z). Let -17*f - 6*f**3 + 30*f - 15*f + 6*f**j + 2*f**4 = 0. What is f?
0, 1
Let 8/9*s + 0 + 50/3*s**2 - 13/3*s**3 - 19/9*s**4 = 0. What is s?
-4, -1/19, 0, 2
Let z = -10 - -12. Let n(x) be the first derivative of -x**z + 1/3*x**3 - 2 + 0*x. Factor n(w).
w*(w - 2)
Let s be (2/(-2 - -28))/((-322)/23184) - -6. Factor -6/13 + 2/13*r**3 - 2/13*r + s*r**2.
2*(r - 1)*(r + 1)*(r + 3)/13
Determine z, given that 3*z - 3*z + 122*z**2 + 116253*z**4 - 120*z**3 - 116255*z**4 = 0.
-61, 0, 1
Let z = -6439/42 - -6445/42. Find s, given that -10/7*s**2 + z*s**3 - 23/7*s - 12/7 = 0.
-1, 12
Let t(n) be the third derivative of 11*n**6/480 - 21*n**5/160 - n**4/16 - 217*n**3/6 + 153*n**2. Let c(h) be the first derivative of t(h). Factor c(s).
3*(s - 2)*(11*s + 1)/4
Let t(m) = 11*m**2 + 582*m - 2. Let c(i) = -520*i**2 - 27355*i + 95. Let s(f) = 2*c(f) + 95*t(f). What is q in s(q) = 0?
-116, 0
Let f be 15/(-35)*(8 - (-390)/(-45)). Suppose -13 = -4*a + 5*k, 5*a - 5*k - 8 = 7. Determine n so that f*n**a + 10/7 - 12/7*n = 0.
1, 5
Let o = 1092 - 185. Let r = 9979/11 - o. Let 72/11 + r*x**3 + 48/11*x - 2*x**2 = 0. What is x?
-1, 6
Let h be (-1 - -16)*142/30885*29. Factor -3/2*y**3 - 1/3*y**h + 6*y + 4/3.
-(y - 2)*(y + 2)*(9*y + 2)/6
Let l(j) = 621*j + 2487. Let i be l(-4). Let m(w) be the third derivative of 0*w - 1/30*w**6 + 0 - 1/3*w**5 - 26*w**2 + 0*w**i - 2/3*w**4. Factor m(b).
-4*b*(b + 1)*(b + 4)
Let a = 111 - 51. Suppose -6*t = -2*t - a. Factor 2*z**2 - 4*z**2 - t*z + 14 + 0*z**2 + 3*z.
-2*(z - 1)*(z + 7)
Let j(m) be the second derivative of m**6/165 - 4*m**5/55 + 3*m**4/22 + 6*m**3/11 + 225*m. Factor j(z).
2*z*(z - 6)*(z - 3)*(z + 1)/11
Let q(t) be the first derivative of t**5/150 - 13*t**4/20 + 38*t**3/15 + 10*t**2 + t + 130. Let h(b) be the second derivative of q(b). Factor h(o).
2*(o - 38)*(o - 1)/5
Let u = -50/3 - -17. Let o(s) = s**3 - 82*s**2 + 442*s + 1067. Let n be o(76). Suppose 7/3*r**2 + u*r + n*r**4 + 0 + 5*r**3 = 0. What is r?
-1, -1/3, 0
Let z = 2056/369 + -192/41. Let s(b) be the first derivative of 0*b - 4/5*b**5 - z*b**3 + 0*b**2 + 3/2*b**4 + 6 + 1/9*b**6. Factor s(h).
2*h**2*(h - 4)*(h - 1)**2/3
Let c = 226 + -176. Let 10*q**2 - 4*q**4 + 19*q**3 - c*q + 6*q + 2*q**2 - 7*q**3 + 24 = 0. Calculate q.
-2, 1, 3
Factor 2/11*p**2 - 400/11 - 34/11*p.
2*(p - 25)*(p + 8)/11
Let s(w) be the second derivative of 2*w**7/147 - 74*w**6/105 + 239*w**5/35 + 1873*w**4/21 + 320*w**3 + 504*w**2 - 115*w - 27. Find i such that s(i) = 0.
-2, -1, 21
Let p(f) = -f**2 + 2*f + 1. Let l(n) = n**3 + 10*n**2 - 3*n - 2. Let g be 2 + (-4 - -4) - (-4)/(-4). Let o(i) = g*l(i) + 5*p(i). What is r in o(r) = 0?
-3, -1
Suppose -u + 44 = 7*w - 3*w, -2*w + 76 = 2*u. Solve -u*m**4 - 2*m**2 + 38*m**4 + 1 - 1 = 0 for m.
-1, 0, 1
Let d(r) be the first derivative of r**6/33 + 4*r**5/55 - 2*r**4/11 - 4*r**3/33 + 3*r**2/11 - 739. What is g in d(g) = 0?
-3, -1, 0, 1
Let u be (2/12)/(12/54). Let f(s) be the first derivative of 3/5*s**5 + 0*s**2 - 2 + 0*s - 2*s**3 + u*s**4. Factor f(a).
3*a**2*(a - 1)*(a + 2)
Let u(p) be the second derivative of -p**4/42 - 31*p**3/7 - 26*p**2 + 5131*p. Factor u(s).
-2*(s + 2)*(s + 91)/7
Factor 4/5*z**3 + 0 - 188*z**2 + 0*z.
4*z**2*(z - 235)/5
Let x(p) = 35*p**2 + 2105*p + 2085. Let d(y) = 64*y**2 + 4211*y + 4174. Let w(r) = 5*d(r) - 9*x(r). Factor w(g).
5*(g + 1)*(g + 421)
Let n(v) be the first derivative of v**7/147 - 4*v**6/105 + 3*v**5/70 - 95*v + 4. Let s(c) be the first derivative of n(c). Determine g so that s(g) = 0.
0, 1, 3
Suppose -5*t + 6*i = 4*i - 10, 5*i - 4 = -2*t. Find s such that 675 + 17*s**t - 873*s + s**3 - 1062*s - 284*s**2 - 10*s**3 = 0.
-15, 1/3
Let y(g) be the first derivative of -80*g**3 - 715*g**2/2 + 15*g - 1580. Suppose y(i) = 0. Calculate i.
-3, 1/48
Let w(d) be the first derivative of 490*d**5/9 + 1120*d**4/9 + 1628*d**3/27 - 64*d**2/3 + 2*d - 2560. Factor w(b).
2*(b + 1)**2*(35*b - 3)**2/9
Let z(m) be the second derivative of 2/15*m**6 - 6*m**2 - 10/3*m**3 - 2/21*m**7 + 75*m + 2/3*m**4 + 0 + 6/5*m**5. Factor z(r).
-4*(r - 3)*(r - 1)*(r + 1)**3
Let y(s) be the second derivative of s**5/80 + 11*s**4/16 - 1009*s. Factor y(d).
d**2*(d + 33)/4
Let x(v) be the first derivative of v - 112. Let u(q) = -q**2 - 2*q + 9. Let p(m) = 4*u(m) - 36*x(m). Factor p(g).
-4*g*(g + 2)
Let v be (-570)/(-140) - (702/36 - 18). Factor -2/7 - 48/7*z**2 + 32/7*z**3 + v*z.
2*(z - 1)*(4*z - 1)**2/7
Let h(m) be the second derivative of m**7/231 + 7*m**6/55 - 81*m**5/110 - 221*m**4/66 - 40*m**3/11 + m + 2268. Suppose h(j) = 0. Calculate j.
-24, -1, 0, 5
Let w(z) be the third derivative of z**7/210 + 11*z**6/120 + 37*z**5/60 + 15*z**4/8 + 3*z**3 - 839*z**2. Determine x, given that w(x) = 0.
-6, -3, -1
Let l(h) be the first derivative of -h**6/69 + 44*h**5/115 - 165*h**4/46 + 904*h**3/69 - 128*h**2/23 - 1536*h/23 + 651. What is c in l(c) = 0?
-1, 3, 4, 8
Let b(d) = -25*d - 24 + 3*d**3 + 3399*d**2 - 3364*d**2 - 16 - 24. Let m(p) = -2*p**3 - 34*p**2 + 26*p + 64. Let r(j) = 6*b(j) + 7*m(j). Factor r(t).
4*(t - 4)**2*(t + 1)
Let m = -1033 + 1036. Let u(d) be the second derivative of 1/25*d**6 + 0 + 0*d**4 - 7*d + 1/25*d**5 + 0*d**2 + 0*d**m. Factor u(k).
2*k**3*(3*k + 2)/5
Let z be 0 + (-38)/8 + 20 + -34 + 19. Factor -x + 2*x**2 - 5/4*x**3 + 0 + z*x**4.
x*(x - 2)**2*(x - 1)/4
Let u(p) = -p**2 + p + 5. Let n(c) = 10*c**2 - 799*c - 184. Let d(b) = -3*n(b) - 15*u(b). Determine q, given that d(q) = 0.
-1/5, 159
Let j(l) be the first derivative of 0*l**3 - 15 + 0*l + 5*l**2 + 1/570*l**5 - 1/228*l**4. Let k(a) be the second derivative of j(a). Factor k(h).
2*h*(h - 1)/19
Let g = -1065473 - -1065476. Factor 76*j**2 - 25*j**g - 1/4*j**5 + 4*j**4 + 64 - 112*j.
-(j - 4)**3*(j - 2)**2/4
Suppose -h = -6*h + 30. Suppose 0 = 3*r - 3*b - 30, -2*r + h*b - 2*b + 26 = 0. Factor -11*o + 0*o**2 + 17 - 16*o + 3*o**2 + r.
3*(o - 8)*(o - 1)
Let w be 2/5*495/99. Find r such that -5/8*r**4 + 5/8*r**w + 0*r + 1/8*r**3 - 1/8*r**5 + 0 = 0.
-5, -1, 0, 1
Factor -110*z - 128*z - 4*z**3 + 116*z**2 + 58*z + 108 - 40*z.
-4*(z - 27)*(z - 1)**2
Factor -4*g**3 + 221*g + 160 - 13128*g**2 + 11*g + 13196*g**2.
-4*(g - 20)*(g + 1)*(g + 2)
Let w(p) be the third derivative of -p**7/630 - 157*p**6/180 - 182*p**5 - 62475*p**4/4 + 128625*p**3/2 + 1038*p**2. Suppose w(a) = 0. What is a?
-105, 1
Suppose 171 = 11*u + 8*u. Suppose -b - 3*d = -u, -2*d - 19 + 25 = b. Suppose b + 2*n**2 + n + 3/4*n**3 = 0. Calculate n.
-2, -2/3, 0
Let h be 22*(-27)/(-891)*(-279)/(-4). Let -84*c - 32 - 18*c**2 + 9/2*c**5 + 83*c**3 + h*c**4 = 0. What is c?
-8, -2, -2/3, 1
Let k(i) be the first derivative of -16*i**5/45 + 19*i**4/3 + 56*i**3/3 - 454*i**2/9 + 64*i/3 + 1157. Find b such that k(b) = 0.
-3, 1/4, 1, 16
Let u(y) be the third derivative of -y**6/180 - 3359*y**5/90 - 2822399*y**4/36 - 2819041*y**3/9 - y**2 + 444. Factor u(s).
-2*(s + 1)*(s + 1679)**2/3
Let c(q) be the first derivative of 1/2*q**4 + 0*q - 4/9*q**3 + 0*q**5 - 1/9*q**6 + 113 + 0*q**2. Factor c(n).
-2*n**2*(n - 1)**2*(n + 2)/3
Suppose 3/4 + 78*h**3 - 6*h - 15/2*h**2 + 315/4*h**4 = 0. What is h?
-1, -1/3, 1/7, 1/5
Let z be (-5)/((-75)/9) + (-2115)/(-225). Let i(v) be the third derivative of 5/12*v**4 + 0 + 1/12*v**5 + 0*v**3 + z*v**2 + 0*v. Factor i(k).
5*k*(k + 2)
Suppose -5*n = 2*o + 51, 536*o + 2*n + 32 = 541*o. Factor -11/10*v**o + 3/5*v + 0 + 2/5*v**3 + 1/10*v**4.
v*(v - 1)**2*(v + 6)/10
Suppose -35 + 27 = 2*t. Let l be (-5 + 4)/(2/t). Factor f**3 - 14*f**l + 11*f**2 + 6*f - 4*f.
f*(f - 2)*(f - 1)
Let 57988*x**3 + 57984*x**3 - 115967*x**3 - 90*x**2 - 200*x = 0. Calculate x.
-2, 0, 20
Let n be 4736/3108*14/4*(-27)/(-72). Let -98/17*g**3 - 532/17*g**n - 48/17 + 328/17*g = 0. What is g?
-6, 2/7
Let r(s) be the first derivative of s**5/100 + s**4/30 - s**
|
{
"pile_set_name": "DM Mathematics"
}
|
059. Calculate the remainder when i is divided by 21.
16
Let y(l) = -l**2 + 5*l - 2. Let a be y(3). Let j(t) = t**2 + 5*t - 3. What is the remainder when j(-7) is divided by (a - 5*-2)/2?
4
Suppose 2*a - 114 = -q, -38*q + 34*q = -5*a - 508. Suppose 5*l = 3*c - 155 + 52, -185 = -5*c + 5*l. Calculate the remainder when q is divided by c.
40
Suppose -2*f + 5*n = f - 144, 218 = 5*f - n. What is the remainder when 127 is divided by f?
41
Let g(m) = 164*m - 37. What is the remainder when g(5) is divided by 98?
97
What is the remainder when 104 is divided by (-28 + 0)/4 - -30?
12
Let d(r) = -2*r**3 - 3*r**2 + 3*r + 4. Let l be d(-3). Suppose 5*b - l = 13. Calculate the remainder when b is divided by ((-1)/12*(-67 - -49))/((-1)/(-2)).
1
Let v(o) = o**2 - 6*o + 9. Let w(h) = -h + 3. Let m be w(-4). What is the remainder when (1/(-2))/(2/(-248)) is divided by v(m)?
14
Suppose 5*h + 21 + 364 = 0. Let k = 146 + h. Calculate the remainder when k is divided by 24.
21
Let o(l) be the third derivative of l**5/60 - l**3/6 - 5*l**2. Let n be (-8)/2 - -4 - -4. Calculate the remainder when 42 is divided by o(n).
12
Let x(q) = -q**2 - 12*q - 9. Let l be x(-12). Let z(u) = -u**3 - 9*u**2 + u + 9. Let a be z(l). What is the remainder when (-4)/16*a + 83 is divided by 17?
15
Let j be ((-16)/(-10))/(-2)*-15 + 3. Let g(m) = -m**3 + 15*m**2 - m + 28. Calculate the remainder when g(j) is divided by 9.
4
What is the remainder when 24 is divided by (-102)/(-12) + -8 - (-38)/4?
4
Suppose -q - 4*b + 48 = 0, -3*q - 5*b - 129 = -7*q. What is the remainder when q is divided by (-3 - (-28)/(-21))*(-3)/1?
10
Suppose 0 = 2*m - 6*t + 2*t - 66, 0 = -3*m - 3*t + 54. Let d = m + 1. What is the remainder when d is divided by 14?
10
Let g(m) = 4*m - 19. Let v be g(9). Suppose -14*z = -v*z + 141. Calculate the remainder when z is divided by 12.
11
Let g = -62 + 54. Calculate the remainder when (g/10)/(0 + (-3)/105) is divided by 8.
4
Let j(t) = t**2 - 23*t + 93. What is the remainder when j(23) is divided by 19?
17
Suppose -2*b + 4*h = -2, 4*b = 3*b - 3*h + 21. Suppose 0 = 6*c - 3*c. Suppose f - 4 - 11 = c. Calculate the remainder when f is divided by b.
6
Let o = 18 + -9. Let w = 18 + -7. Let h = w - -24. What is the remainder when h is divided by o?
8
Suppose 0 = 3*j + 2*x - 9, j - x + 6 = 4*j. Let l be 4 - 12/4 - (-10)/2. Let a = l - j. Calculate the remainder when a is divided by 4.
1
Suppose 0 = -29*h + 26*h + 15, 5*f - 2*h = 165. What is the remainder when 172 is divided by f?
32
Suppose -43 = -5*l - 13. Let g(z) = -6*z - 5. Calculate the remainder when g(-3) is divided by l.
1
Let n be 754/10 - -1 - 4/10. Suppose -n = -2*h - 2*h. What is the remainder when 55 is divided by h?
17
What is the remainder when (-81)/(-189) - (-1)/7*361 is divided by 5?
2
Let p(o) = o**3 - 2*o**2 + 5*o - 4. Suppose -5*g + 2 = -l, -4*l + 12*g + 24 = 8*g. Calculate the remainder when p(3) is divided by l.
4
Let m be 0/(-3 + (2 + 13)/3). Suppose z = 3*o - 2*o + 76, m = 5*o + 10. Calculate the remainder when z is divided by 11.
8
Suppose -28 = -11*d + 7*d. What is the remainder when 23 is divided by (-6)/5*(-35)/d?
5
Let h(c) = -c**3 - 6*c**2 - 3*c + 4. Let v = -2852 - -2938. What is the remainder when v is divided by h(-6)?
20
Let j = -15 + 19. Suppose 3*y = -h - 6 + 33, 3*h + j*y - 101 = 0. Let o = h + -17. Calculate the remainder when o is divided by 13.
9
Let u = -295 + 325. What is the remainder when 98 is divided by u?
8
Let j = 221 - 205. Calculate the remainder when 78 is divided by j.
14
Suppose 0 = 4*z - 4*m - 24, 2 = 5*z + 9*m - 7*m. Let y = 2 + 4. Suppose z*d = y*d - 20. Calculate the remainder when 13 is divided by d.
3
Suppose -4*w + 2*d + 126 = 0, -5*w + 144 = 16*d - 14*d. Calculate the remainder when 86 is divided by w.
26
Suppose -4*p + 2*g + 0*g = -60, -5*g = -5*p + 75. Let i = 10 + p. Calculate the remainder when i is divided by 10.
5
Let h = -21 + 30. Suppose 4*n + h = n. Calculate the remainder when 2 is divided by (-3 + 2)*(n + 1).
0
Suppose 5*u + 434 - 19 = 0. Let x = u - -142. Suppose -5*h = 5*t - 60, 0 = 4*t + 5*h - 47 - 1. Calculate the remainder when x is divided by t.
11
Suppose -2*d = d - 2568. Calculate the remainder when 169 is divided by (-1)/(-3 - (2 - d/172)).
40
Suppose 57 - 111 = 3*g. Suppose -u = z + 4 - 51, 3*u = 3*z - 141. Let b = g + z. Calculate the remainder when b is divided by 8.
5
Let m = -80 - -96. Suppose 5*s - m = 39. Calculate the remainder when 26 is divided by s.
4
Let w(n) = 10*n - 218. Calculate the remainder when 21 is divided by w(23).
9
Suppose -11*p + 8*p = -321. Suppose n + 1 = 0, -3*g + 27 = -2*n - p. What is the remainder when 86 is divided by g?
42
Suppose 0 = 4*z - 1 - 11. Let x be (-2)/1 + 0 + z. What is the remainder when 37 is divided by x/(3/27) - -1?
7
Suppose 0 = 69*z - 70*z + 3. Calculate the remainder when z is divided by 2.
1
Calculate the remainder when ((-140)/(-16)*10)/(13/26) is divided by 16.
15
Let j(r) be the third derivative of r**5/30 + r**4/4 - 11*r**3/6 - 5*r**2. What is the remainder when 49 is divided by j(-6)?
24
Suppose -5*s + 4*z = -0*z - 6, -z + 1 = 0. Suppose -s*d - i + 50 = 0, 5*d = i + i + 107. Calculate the remainder when 45 is divided by d.
22
Let w be (-291)/(-17) + (-2)/17. Suppose 8*q = 47 + w. Calculate the remainder when q is divided by 7.
1
Let m = 28 - 12. Suppose 0 = 7*z + 308 - 2205. Suppose 5*s + 36 = z. What is the remainder when s is divided by m?
15
Suppose 3*b - 75 = -2*b. Calculate the remainder when 88/33*783/36 is divided by b.
13
Suppose 5*r - 3 = 2. Let v = r + 56. Calculate the remainder when v is divided by 15.
12
Let w = 218 - 101. Suppose w = -0*k + 13*k. Calculate the remainder when k is divided by 3.
0
Let w = 4079 - 4060. Let u = 224 - 150. Calculate the remainder when u is divided by w.
17
Suppose -2*u + 4*u - 3*y = 499, -u - 2*y = -267. What is the remainder when u is divided by 43?
42
Suppose h - 467 = -432. Calculate the remainder when 85 is divided by h.
15
Let d = -55 - -96. Calculate the remainder when (-3)/5 + 1666/10 + -4 is divided by d.
39
Let m = 82 + -49. What is the remainder when m is divided by 9 + (-39 + 3)/(-4)?
15
Let h(f) = 12*f + 25. Calculate the remainder when h(5) is divided by 34.
17
Suppose 6*u - 2*u = 4*d + 136, 5*u - 170 = d. Let h(g) = g**2 + 4*g + 6. What is the remainder when u is divided by h(-6)?
16
What is the remainder when 45 is divided by 4*-1 - 735/(-105)?
0
Let f = 1224 + -305. Calculate the remainder when f is divided by 84.
79
Suppose -5*g + 15 = 0, 3*c - 165 = 9*g - 6*g. Calculate the remainder when 324 is divided by c.
34
Let b(v) = v**3 - 11*v**2 + 26*v + 16. Suppose -4*p - n = -497, 236 = 4*p - 2*p - 2*n. Calculate the remainder when p is divided by b(8).
27
What is the remainder when ((-66)/(-12)*-7)/(3/(-12)) is divided by 13?
11
Let f = 670 - 637. Calculate the remainder when f is divided by 18.
15
Suppose -26 = m - 90. Suppose -4*t + 66 = -2. What is the remainder when m is divided by t?
13
Suppose -15*l + 270 = -2580. What is the remainder when l is divided by 48?
46
Suppose -172 = -15*w + 83. Let d be (-3)/1 + 2 - -3. Suppose -6*y + d*y = m - 82, -3*y = -12. What is the remainder when m is divided by w?
15
Let h(s) = -2*s**3 + 28*s**2 + 2*s - 18. What is the remainder when 39 is divided by h(14)?
9
Calculate the remainder when 5 is divided by (1 + -7 - -2) + 7.
2
Suppose 5 - 10 = -3*m + 5*j, -3*j - 3 = -m. Suppose 74 = 4*q + 30. Calculate the remainder when (-2)/(-4)*(m + 64) is divided by q.
10
Suppose 3 - 35 = -2*p. Calculate the remainder when (8/(-48)*-6)/((-2)/(-40)) is divided by p.
4
Let u = -19 + 38. Suppose 4*r = -u + 115. Suppose z - 4*n = -z + 134, z + 2*n = 71. Calculate the remainder when z is divided by r.
21
Let m(q) = q + 2. Let l be m(3). Let c(n) = -2 + 7*n + l - 5 - 5. What is the remainder when 26 is divided by c(3)?
12
Let c = -19 - -35. Suppose g + 12*m + 10 = 9*m, g + 15 = -4*m. Suppose 5*q + 49 = 10*q + y, y = g*q - 41. What is the remainder when c is divided by q?
7
Let z(n) be the second derivative of n**4/6 - 11*n**3/6 + 6*n**2 - 19*n. What is the remainder when 65 is divided by z(7)?
32
Suppose 0 = -5*d + 260 - 10. Let q = -16 + d. Calculate the remainder when q is divided by 12.
10
Suppose 0 = -5*l - q + 23
|
{
"pile_set_name": "DM Mathematics"
}
|
16.
16
Find the common denominator of -53/16 and -17/416.
416
Calculate the least common multiple of 2061 and 1603.
14427
Find the common denominator of -34/11 and -13/633.
6963
Calculate the common denominator of 43/90 and 41/40.
360
Calculate the common denominator of 53/2 and 59/336.
336
What is the least common multiple of 60 and 70?
420
What is the common denominator of 19/288 and -101/198?
3168
Calculate the common denominator of 53/10 and 5/1137.
11370
Find the common denominator of 3/130 and -11/39.
390
Calculate the lowest common multiple of 132 and 260.
8580
Calculate the smallest common multiple of 60 and 2120.
6360
What is the common denominator of 1/12 and 85/146?
876
Calculate the lowest common multiple of 99 and 15.
495
Calculate the least common multiple of 21 and 2.
42
Calculate the least common multiple of 355 and 710.
710
What is the least common multiple of 72 and 80?
720
Calculate the smallest common multiple of 7 and 110.
770
Calculate the least common multiple of 200 and 8.
200
Calculate the lowest common multiple of 3 and 513.
513
What is the least common multiple of 12 and 24?
24
What is the common denominator of 129/140 and 44/259?
5180
Calculate the common denominator of -47/5 and -137/490.
490
What is the smallest common multiple of 5 and 1165?
1165
What is the common denominator of -21/22 and 127/11000?
11000
Calculate the lowest common multiple of 32 and 32.
32
Calculate the common denominator of -15/976 and -29/36.
8784
Calculate the common denominator of 97/688 and -83/516.
2064
What is the common denominator of 13 and -83/246?
246
What is the smallest common multiple of 13 and 391?
5083
What is the common denominator of 29/85 and 18/85?
85
Calculate the common denominator of -149/6 and -14/1583.
9498
What is the common denominator of -47/1246 and -73/70?
6230
Calculate the least common multiple of 1125 and 450.
2250
What is the lowest common multiple of 4 and 650?
1300
Calculate the lowest common multiple of 198 and 162.
1782
What is the common denominator of -58/1475 and 34/175?
10325
Calculate the common denominator of 23/48 and 55/36.
144
What is the common denominator of 29/604 and -55/6?
1812
Find the common denominator of 1/348 and 13/2.
348
Find the common denominator of 33/1900 and -31/1710.
17100
Calculate the common denominator of -26/21 and -4/4515.
4515
Calculate the common denominator of 31/483 and 41/84.
1932
What is the lowest common multiple of 3 and 406?
1218
What is the common denominator of -89/4120 and 93/10?
4120
What is the common denominator of -41/44 and 149/24?
264
What is the common denominator of -43/126 and 97/8?
504
Calculate the lowest common multiple of 7 and 8.
56
Calculate the least common multiple of 55 and 160.
1760
Find the common denominator of -15/9431 and -5/6.
56586
Calculate the common denominator of -11/156 and -37/76.
2964
Calculate the lowest common multiple of 8 and 60.
120
What is the lowest common multiple of 21 and 63?
63
Calculate the lowest common multiple of 1337 and 382.
2674
What is the smallest common multiple of 336 and 40?
1680
Calculate the smallest common multiple of 52 and 234.
468
Calculate the common denominator of 29/186 and -17/207.
12834
What is the lowest common multiple of 8 and 507?
4056
What is the least common multiple of 4053 and 579?
4053
Find the common denominator of 15/976 and 9/488.
976
What is the lowest common multiple of 12093 and 957?
133023
What is the least common multiple of 1 and 104?
104
What is the smallest common multiple of 812 and 14?
812
Calculate the smallest common multiple of 30 and 660.
660
What is the common denominator of -41/8 and 101/3264?
3264
Calculate the common denominator of -23/66 and 137/48.
528
What is the common denominator of -109/594 and 133/432?
4752
Calculate the smallest common multiple of 99 and 22.
198
What is the common denominator of -101/104 and -21/1105?
8840
Calculate the lowest common multiple of 4624 and 2890.
23120
Calculate the smallest common multiple of 68 and 1052.
17884
What is the common denominator of 125/12 and 79/40?
120
Find the common denominator of -23/244 and -43/460.
28060
What is the lowest common multiple of 49 and 133?
931
Calculate the common denominator of 125/72 and -71/9.
72
Calculate the smallest common multiple of 112 and 176.
1232
Find the common denominator of 55/76 and -53/152.
152
Calculate the lowest common multiple of 39820 and 4.
39820
Find the common denominator of -29/78 and 63/260.
780
What is the common denominator of 7/99 and -17/90?
990
Calculate the smallest common multiple of 377 and 39.
1131
What is the least common multiple of 8 and 58?
232
Calculate the least common multiple of 104 and 156.
312
Calculate the smallest common multiple of 32524 and 10.
162620
Calculate the lowest common multiple of 45 and 120.
360
What is the common denominator of 131/144 and -47/3?
144
Calculate the lowest common multiple of 336 and 168.
336
What is the common denominator of 101/816 and 57/4?
816
What is the least common multiple of 18 and 30?
90
Calculate the lowest common multiple of 84 and 2.
84
Calculate the smallest common multiple of 3 and 21066.
21066
What is the common denominator of -119/54 and 65/22?
594
Calculate the smallest common multiple of 960 and 400.
4800
Calculate the common denominator of 46/47 and -9/8.
376
Find the common denominator of -145/486 and -62/81.
486
Calculate the common denominator of 47/192 and 127/432.
1728
Calculate the lowest common multiple of 154 and 70.
770
Calculate the common denominator of 23/13902 and -103/56.
55608
Calculate the lowest common multiple of 6 and 7245.
14490
Calculate the lowest common multiple of 94 and 40.
1880
Find the common denominator of 79/576 and -83/102.
9792
Calculate the common denominator of 71/36 and -79/48.
144
Calculate the lowest common multiple of 30 and 174.
870
What is the common denominator of 19/181 and -32/11?
1991
What is the common denominator of 29/153 and -121/138?
7038
Calculate the common denominator of -71/45 and -67/55.
495
What is the least common multiple of 119 and 490?
8330
Find the common denominator of -70/3 and 115/324.
324
Calculate the lowest common multiple of 40 and 116.
1160
What is the common denominator of 103/6 and 83/7828?
23484
Find the common denominator of 53/156 and 32/351.
1404
What is the lowest common multiple of 592 and 12?
1776
Calculate the least common multiple of 49 and 7.
49
Calculate the common denominator of 143/204 and 109/36.
612
Calculate the lowest common multiple of 54 and 36.
108
What is the lowest common multiple of 4 and 32?
32
Calculate the least common multiple of 64 and 12.
192
What is the common denominator of 17/22 and -83/5464?
60104
Find the common denominator of 79/422 and -35/79.
33338
What is the common denominator of -61/594 and 79/495?
2970
What is the common denominator of -71/2 and -25/7878?
7878
Calculate the common denominator of 163/126 and -37/9.
126
Find the common denominator of -43/2296 and 155/1968.
13776
Calculate the least common multiple of 9 and 11241.
11241
What is the least common multiple of 483 and 77?
5313
What is the lowest common multiple of 49 and 112?
784
What is the common denominator of -41/9 and 139/18?
18
Find the common denominator of 37/6 and 113/84.
84
Find the common denominator of -89/60 and -121/168.
840
Find the common denominator of -16/1703 and -101/262.
3406
Calculate the smallest common multiple of 11 and 261.
2871
What is the lowest common multiple of 2244 and 528?
8976
Calculate the lowest common multiple of 1176 and 735.
5880
Calculate the smallest common multiple of 432 and 44.
4752
What is the least common multiple of 42 and 66?
462
What is the common denominator of -77/24 and -35/688?
2064
Calculate the lowest common multiple of 70 and 105.
210
What is the common denominator of 133/54 and 77/90?
270
Calculate the common denominator of 13/1900 and -111/200.
3800
Calculate the common denominator of -41/132 and 101/748.
2244
Calculate the common denominator of 7/612 and -43/102.
612
Find the common denominator of -57/16 and -67/14.
112
Calculate the lowest common multiple of 2 and 9.
18
Find the common denominator of 41/2120 and -157/90.
19080
What is the lowest common multiple of 368 an
|
{
"pile_set_name": "DM Mathematics"
}
|
- 12. Let y(v) = 8*c(v) - 3*q(v). Suppose -3*a - 4*h = 2*a - 46, 3*a - 34 = -4*h. What is y(a)?
-8
Let h be 9/(-8) + (4/32 - 0). Let o(i) = -23*i**3 - i. Give o(h).
24
Let t(j) = j. Suppose -2*f + 5 = 3*f. Suppose 5*i + 6 - 1 = 0. Let w be (f - 1) + i + 1. Determine t(w).
0
Let m(x) = -x**3 + 5*x**2 - 2*x - 1. Let f(a) = -a**3 + 6*a**2 + 2*a - 4. Let y be f(6). Suppose 3*t - y*t = -20. Determine m(t).
7
Let y(p) be the third derivative of p**4/24 - 2*p**3/3 - 17*p**2. Determine y(5).
1
Let g be (-24)/(-40) + (-7)/(-5). Let n(u) be the third derivative of 0 - 1/12*u**5 + 2*u**g + 1/120*u**6 + 0*u + 1/2*u**3 - 1/12*u**4. Calculate n(5).
-7
Let o(d) = -d**2 - 3 - 2 - 3*d + 5. What is o(-4)?
-4
Let g = 122 - 118. Let y(w) be the second derivative of w**4/12 - 5*w**3/6 - 3*w**2/2 + w. What is y(g)?
-7
Let h be 4/(-6)*3/2. Let x(v) be the third derivative of -v**5/24 + v**4/24 - v**3/6 - 2*v**2. Let z(w) be the first derivative of x(w). Determine z(h).
6
Let v(q) = -q**3 - 9*q**2 + 9*q - 8. Let b be v(-10). Let k(o) = -2*o + 3*o - b*o. Give k(-2).
2
Let s(j) be the first derivative of 8*j**3/3 - j**2 + j - 5. Give s(1).
7
Let i(m) be the third derivative of m**4/24 - m**3/3 + m**2. Let f be (-63)/(-4) + (-2)/(-8). Suppose 5*g - 3 = -3*t, 4*t + g - 3 = -f. Calculate i(t).
-6
Let m(y) be the first derivative of -2*y**3/3 + 3*y**2 + y - 7. Give m(5).
-19
Let p(x) be the second derivative of x**5/20 - 5*x**4/12 + x**3/2 - x**2 + 88*x. Let n(c) = -c**3 + 9*c**2 - 9*c + 12. Let m be n(8). Give p(m).
-6
Let f(k) be the first derivative of k**5/20 - k**4/8 + k**3/3 - k**2/2 - 5. Let w(y) be the second derivative of f(y). Determine w(2).
8
Let q(u) = -5*u - 5 + 0*u + u**3 + 10*u**2 - 6*u**2. Let a(s) = s**2 + 4*s - 10. Let n be a(-5). Calculate q(n).
-5
Let p(h) = -h**2 - 5*h + 2. Suppose 2*z + 14 + 7 = -3*l, 0 = 5*l - 5*z + 10. What is p(l)?
2
Let x(v) = -v**3 + 4*v**2 - 2*v - 1. Let i be -1*(0 + -7 - -2). Suppose 2 = -i*y - 3. Let b = 4 + y. Determine x(b).
2
Let d(w) = -4*w**3 - 4*w**2 + 15 + 3*w**3 - 13. Calculate d(-3).
-7
Let u(g) = 3 + 3*g**3 + 1 - g**2 + 2*g**2 - g. Let n(t) = 10*t**3 + 4*t**2 - 2*t + 13. Let r(v) = -2*n(v) + 7*u(v). Give r(2).
0
Let y be (-44)/6 - (-6)/(-9). Let z = y - -13. Let b(v) = -5*v + z*v - 2*v. Calculate b(-1).
2
Let c(n) = -n**2 + n - 2. Let l = 76 + -74. What is c(l)?
-4
Let h(m) = m**3 + 5*m**2 + m + 7. Let s(d) = -5*d. Let b be s(1). Determine h(b).
2
Let a(p) = -p**3 + 2*p**2 + 2*p - 2. Let u(i) = 0 + 5*i - 3*i + 3 + 0*i. Let x be u(0). Give a(x).
-5
Let c(g) be the first derivative of -4*g**4 - 2*g**3/3 - g**2/2 + 32. Determine c(-1).
15
Let n(y) be the first derivative of -23*y**4/4 + y**2 - y + 21. Calculate n(1).
-22
Let g = 3 - 4. Let b(t) = -t**2 - t. Let n be b(-1). Let w = n + g. Let f(u) = -3*u**2 - 2*u - 1. Give f(w).
-2
Let t(x) = -5*x + 4. Let u(o) = 1. Let i(v) = t(v) - 5*u(v). Give i(3).
-16
Let c(q) = -q**3 + 8*q**2 - 7*q + 2. Let k(x) = -2*x**3 + 17*x**2 - 15*x + 3. Let l(r) = 5*c(r) - 2*k(r). Determine l(5).
4
Let v(y) = -y**3 + 3*y**2 + 5*y + 1. Let q be v(4). Let s(o) = o - 6. What is s(q)?
-1
Let n(l) = 3*l - 7*l + l**2 + 0 - 2*l**2 + 1. Suppose 3 = -c - f + 1, 2*f - 4 = 0. Calculate n(c).
1
Let x(o) = o**3 - 2*o**2 - o. Let n be x(-1). Let w(f) = -f + 2. Let j be w(0). Let s(m) = 2 + 2 + m - j. Give s(n).
0
Let r(j) = -j**3 - 4*j**2 - 3*j. Let c = -10 - -14. Let w(k) = -k**2 + k + 3. Let d be w(c). Let x = d + 6. Determine r(x).
0
Suppose 0 = -h + 3*q - 6, 3*h + 2*q + 8 = q. Let z(y) be the first derivative of y**2 + 3*y + 7. Determine z(h).
-3
Suppose 2 + 0 = n. Let f be (2/6)/(n/30). Let o(c) = -1 - 1 + 2 - 2*c. Determine o(f).
-10
Let w(f) = -f**2 + 2*f + 3. Suppose -3*y + 22 = -3*l + y, 5*l + y = -6. Determine w(l).
-5
Let w(u) = 3*u**2 - 3*u + 1. Let l = 20 - 1. Let r = l - 17. Determine w(r).
7
Suppose -h + 14 = -3*t, -2*h + 3*t + 2 = -7*h. Let o(n) = -2*n + h - n + 4*n. Give o(-4).
-2
Let u(x) be the first derivative of 1/60*x**5 + 0*x + 1/6*x**3 - 1/2*x**2 + 3 - 1/4*x**4. Let l(z) be the second derivative of u(z). Give l(6).
1
Let y(j) = 5*j + 7. Let b(r) = 5*r + 6. Let d(w) = -4*b(w) + 3*y(w). What is d(-2)?
7
Let h(b) be the first derivative of -5*b**3/3 + 2. Let w(t) = t**3 + 2*t**2 - 4*t. Let d be w(-3). Suppose 2*y + 21 = 4*i - d*y, 3*i - 2 = y. Calculate h(i).
-5
Suppose -3*u - 11 = -0*u + 5*z, u - 1 = 3*z. Let g = -7 + 10. Let k(n) = -4*n**g - 2 - 3*n**2 + 3*n**3 + 0*n**2 - 3*n + n. Determine k(u).
-2
Let p(r) = -r**2 + 3*r + 3. Suppose -2*a - 65 = 3*a. Let o = -8 - a. Give p(o).
-7
Let o(s) = 5*s - 11. Let l be o(6). Let m(n) = -l + 2*n + 19 - 3*n. What is m(1)?
-1
Let y(b) = 3*b + 3. Suppose 2*o + 21 = -3*p, -2*o - 9 = 4*p + 17. Calculate y(o).
-6
Suppose -17 = -2*s + 39. Suppose -5 - s = -3*q - 5*z, 4*z - 24 = -2*q. Let b(h) = -h**3 + 7*h**2 - 6*h + 5. What is b(q)?
5
Let x(s) = s**2 + 5*s - 3. Let j(t) = -6*t**3 + 2*t**2 - t - 1. Let r be j(1). Determine x(r).
3
Let v(j) = -j**2 + 4*j + 2. Let a(u) = u**3 - 8*u**2 + u - 3. Let y be a(8). What is v(y)?
-3
Let t(a) = -a**3 - 7*a**2 + 12*a + 2. Let d be 8 + -5 + -1 + -10. Give t(d).
-30
Suppose -4 + 24 = 5*d - 2*r, 0 = -2*d - 5*r + 8. Let o(z) = -4*z**3 - 2*z**3 - 4 + 5*z**2 - 5*z + 5*z**3. What is o(d)?
-8
Let x(n) = 2*n - 2 - 5*n**2 + 1 + 4*n**2 + n**3. Suppose -8 = -12*f + 16. Determine x(f).
7
Suppose -5*y = -3*f - 17, 2 = -f - y - y. Let v(m) = 2*m + 6. Give v(f).
-2
Let x(m) = 2*m. Let z(t) = 3*t. Let y(b) = 6*x(b) - 2*z(b). Let j(f) = f**3 + f**2 - 2*f - 1. Let a = -15 + 13. Let k be j(a). Determine y(k).
-6
Let q(r) be the second derivative of r**5/60 + r**4/24 - 5*r**3/6 - 3*r**2/2 - 2*r. Let y(t) be the first derivative of q(t). Give y(0).
-5
Let v(w) = w**2 - 6*w - 3. Let t be v(7). Let p(h) = t + 0*h + h - h**2 - 2*h + 6*h. Let l be 4 + (-1)/(-1 - 0). What is p(l)?
4
Let a(x) be the third derivative of x**8/6720 - x**7/630 + x**5/40 + x**4/12 - x**2. Let b(h) be the second derivative of a(h). Determine b(4).
3
Let f(r) = -5*r + 1. Let o(c) = -c**3 - 6*c**2 - 4*c + 7. Let y be o(-5). Let t(j) = j**3 - 2*j**2 + j - 1. Let n be t(y). Calculate f(n).
-4
Suppose 3*t - 6*t = 3. Let n(q) be the second derivative of 7*q**5/20 + q**3/3 + q**2/2 - 13*q. What is n(t)?
-8
Let n(r) = 2*r - 4. Let a(m) = -m + 1. Let c(p) = 4*a(p) + n(p). Suppose -1 = d + f, 0*f - 6 = 2*f. Calculate c(d).
-4
Suppose -3*w - 28 = -n - 8*w, 4*n + 13 = 5*w. Suppose -3*f + n = -2*u, 4*u + u = 5*f. Let l(d) = -d**3 + 2*d**2 + 4. Determine l(u).
-5
Suppose 3*f - 11 = 4*c - 2*c, 3*c = -12. Let m(z) = f - z - 2 - 3. Suppose -2*y - 12 = 2*y. What is m(y)?
-1
Let r(w) = 9*w**2 - 8*w + 9. Let m(b) = 3*b**2 - 3*b + 3. Let i(q) = -8*m(q) + 3*r(q). Let a(g) be the first derivative of i(g). What is a(-1)?
-6
Let o(l) = -l - 7. Let s be o(-10). Suppose -2*p = -1 - s. Let d(w) = -2*w**2 + p*w**2 - 2*w**2 + 7 - w + 3*w**2. Give d(0).
7
Suppose 0 = 4*d + 3*w - w + 14, -3*w + 6 = -3*d. Let t(y) = -y**3 - 4*y**2 - y + 2. Determine t(d).
-4
Let i(r) = -r**3 + 5*r**2 - 4*r - 1. Let b = -17 - -21. Determine i(b).
-1
Suppose 5 = 4*l - 5*h - 0, 2*l - 5*h = -5. Let u(q) = l + q**2 - 5 - q. Let z(b) = -b**2 + 9*b + 20. Let t be z(11). Determine u(t).
6
Let d be (10/(-15))/(2/6). Let j(c) = c + 2. Determine j(d).
0
Let c be 4/5*(-105)/(-6). Let i(d) = 0*d + 16 + d - c. Calculate i(3).
5
Let m(y) = -1 - 8*y + 1 + 9*y. Give m(-3).
-3
Let p = 8 + -6. Suppose -f - 4*l + 14 = 0, 4*l + 0*l = 8. Let d = f - p. Let u(h) = h - 2. What is u(d)?
2
Let t(i) = i**3 + 8*i**2 + 2*i - 2. Let a(x) = -x**2 - x + 1. Let u(w) = -2*a(w) - t(w). Calculate u(-6).
0
Let f = 83 + -84. Let u(b) = -17*b**3. Calculate u(f).
17
Let o(n) = n**3 + 3*n**2 - 4*n + 5. Let p = -3 - 1. Let f be o(p). Let x(q) = 0*q - 2 - f + q - 2. Calculate x(5).
-4
Let z(t) = 0*t - t - t**2 + 0*t + 1 - 6 + t**3. Suppose -4*h + 5*u + 10 = 0, -2*h + h - 4*u = 8. What is z(h)?
-5
Let b be ((-6)/4)/((-16)/(-32)). Let w(p) be the first derivative of 5*p**2/2 + 3*p + 1. Determine w(b).
-12
Let f(c) = -9*c + 1. Let r be -6*(-2 + 1)*-2. Let v be (18/r)/((-3)/2). Give f(v).
-8
Let a = 10 - 6. Let k(p) = -3*p - 2 + a*p + 0*p. Calculate k(3).
1
Let c(j) = -6*j + 2. Let g(n) = 6*n - 2. Let i(m) = -4*c(m) - 3*g(m). Determine i(2).
10
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
- (-4 - -9))
-17
Calculate -6 + (-3 - 1) + 2 + 5.
-3
Calculate -5 + 7 - (24 + -4 + -3).
-15
37 + (46 - 28 - 38)
17
Evaluate (-15 - 12 - -9) + 41.
23
Calculate -10 + -13 - (26 - 28).
-21
Evaluate (0 - -1) + (9 - 6) - (45 + -60).
19
-5 - (35 - 21 - -6)
-25
Evaluate -36 + 77 + -65 - (21 - 3).
-42
Evaluate 33 + -30 + -1 + 6 + -11.
-3
What is 3 + (-4 - (-4 + -1)) - (1 + 6)?
-3
-3 + 4 + -11 + 4 + 2 + -4
-8
What is -1 - -3 - 43 - (449 + -467)?
-23
What is the value of -4 + 3 + -3 + (17 - 0) + -5?
8
Calculate -13 - (9 - (15 + -10 + 7 - 4)).
-14
-8 + (9 - 14) - -16
3
Evaluate -20 + 26 + (23 - 42).
-13
Calculate 5 + (-7 - 33 - -17).
-18
Evaluate -9 + 1 + 2 + 2 + (-49 - -62).
9
Evaluate -13 + 2 + -4 + (-1 - -9).
-7
Calculate 2 - (-9 + 5 + -7).
13
Evaluate 0 + 31 - (194 + -182).
19
Evaluate -142 - -110 - (-14 + 20).
-38
Evaluate -1 - (-78 + 85 + 2 + -2 + -21).
13
Calculate -6 + -3 + -3 + (71 - 65).
-6
(-39 - -39) + 1 + -9
-8
What is the value of (-11 + -9 + 10 - -7) + 7 + 0?
4
-6 - 0 - (13 - 19 - (-9 + 3))
-6
Evaluate -15 - ((-1 - -6) + -5).
-15
Evaluate 4 + -7 + (-1 + 1 - (-6 + 7)).
-4
-8 - (-3 + 3 + 7 + -8)
-7
-930 - -935 - (1 + 8)
-4
What is -15 + (-4 - (-5 + -7)) + 17?
10
Calculate -1 + 7 + -3 + 4 + 2 + -15.
-6
Calculate 14 + 0 + -4 + -58 + 46.
-2
(328 - 305) + -14 + 1
10
What is the value of -15 - (4 + -14) - -18?
13
What is the value of 14 + (-56 - 6) + (5 - (4 - 9))?
-38
Calculate 6 + -4 + 2 + (4 + -2 - 4).
2
Calculate (-1 + 3 - -4) + (5 - (3 - -1)).
7
Calculate 2 - -14 - (109 - 101).
8
What is the value of -11 - (-8 - -2) - (-3 - (16 - 5))?
9
(10 - (8 + 0)) + -12
-10
What is the value of (16 - 12 - (20 + -7)) + 15?
6
Calculate -29 + (-24 - -37 - 6).
-22
What is the value of -5 - (13 + (1 + 6 - 2 - 7))?
-16
Evaluate 9 - 0 - ((-1 - (-2 + 10)) + 8).
10
What is (-27 - -4) + -6 + (9 - 10) + 5?
-25
What is 0 + 23 - (1 + 4)?
18
What is 1 + 24 - (962 + -943)?
6
What is (-11 - -14) + (-10 + 5 - -3)?
1
-9 + 12 + 101 + -123
-19
What is the value of (-2 - -1) + -10 + (41 - 46)?
-16
4 - ((-17 - -5) + 9 + -1)
8
What is -2 - (-2 + -7) - (-128 - -126)?
9
What is 30 - (17 - 9 - -34)?
-12
Calculate -15 + 10 + -22 - (3 - (1 + -1)).
-30
What is 1 - (-1 + -7 - -11) - 11?
-13
9 - ((7 - 16) + 14)
4
-1 - (18 - 10) - -3 - (-1 + -3)
-2
9 + (-14 - -14) + -14
-5
What is 6 - (-27 - -36 - -1)?
-4
What is (-10 - 4) + -90 + 97?
-7
Evaluate (24 - (4 + 7)) + -10.
3
What is the value of 5 + (-1 - (-14 - (-5 + 0)))?
13
Evaluate (16 - (43 - 8)) + 6.
-13
What is the value of -29 - (1 + -29) - -5?
4
Calculate 0 + 13 - -16 - 17.
12
Evaluate -56 + 33 + -5 + 21.
-7
Evaluate 5 + 3 + 4 + -9 - 17.
-14
What is the value of -1 + (-14 - (-36 + 25))?
-4
39 + -30 - 22 - (-16 + 1)
2
What is 14 + (-93 - -108 - (3 - (-1 - 6)))?
19
What is -2 + (-19 - -2) + -32 + 20?
-31
Calculate 4 - (13 - (-8 - 3)).
-20
Calculate 0 + (6 - (3 - -20)) + -5.
-22
-6 + (-3 - -5) - (-7 + -3 + 3)
3
Calculate (4 + (-3 - -11) - 2) + -6 - 25.
-21
What is -3 + 7 + -6 + -13?
-15
What is the value of (6 - 1) + (158 - 151)?
12
1 - 1 - -3 - (88 - 80)
-5
Calculate (3 - -1) + 5 - (-12 + 20).
1
What is the value of -6 + (-8 - (-55 + (2 - -9)))?
30
What is the value of (-2 - -10) + 49 + -63 + -23 + -1?
-30
What is the value of -20 + -6 + (1 - (-5 - 16))?
-4
-27 - (-3 + (17 - 4) + -26)
-11
Evaluate -9 - (-8 + 7 + -23 + 3).
12
Evaluate -2 - ((-9 - (5 + -8)) + (1 - 4)).
7
What is the value of -193 - -175 - (7 + -9)?
-16
What is the value of -54 - (-43 - (-34 - -26))?
-19
Evaluate (-3 - -11) + (339 - 365).
-18
-9 + 5 + 22 - 4
14
What is (4 - 12) + 17 - (10 + -3)?
2
11 + -5 - (20 + -11 + 5)
-8
Calculate (-2 - 26) + (-809 - -838).
1
17 + (-22 - 4) - 8
-17
-4 + 5 + -1 + 21 - 8
13
Calculate -3 + 1 + -7 + 1 + 13.
5
Calculate 15 - (11 - -3) - ((0 - -11) + 5).
-15
Calculate (-5 - -13) + (-23 - 0).
-15
Calculate (827 - 814) + (-2 - 23) + -1.
-13
What is the value of -39 + 58 + -17 - (10 - -1)?
-9
What is -12 - ((-18 - 0) + -133 + 131)?
8
Calculate 10 - (-17 - (-5 - 7)) - 3.
12
Evaluate 16 + -2 + -21 + 10.
3
Evaluate -4 + 8 + (2 - (-7 - -13)).
0
What is 4 + (-146 - -134) + (-17 - -1)?
-24
Evaluate (19 - 6) + 12 + -4 + 1.
22
What is the value of 5 + -12 + 9 + 1?
3
(82 + -43 - -13) + -34
18
What is 0 + 25 + -20 - (10 - 0)?
-5
-743 + 748 - (-1 + -4)
10
What is the value of -4 - (199 + -215 - (0 - 7))?
5
((1 - (8 + -1)) + 5 - -1) + -3
-3
What is (-39 - -33) + (2 - 4 - 3)?
-11
Calculate 9 + (9 - (13 + -2)) + 7.
14
What is 11 + 1 + -9 + -12?
-9
Evaluate 17 - ((1 - 1) + 57 + -45).
5
Calculate -2 + (1 - 1) - (-2372 + 2346).
24
Evaluate 11 + -10 + (5 - 26) + 9.
-11
40 + -55 + (-2 - -2) + 3
-12
-33 - (-3 - -3) - -65
32
Evaluate -5 - -12 - (-17 + 11).
13
Evaluate -2 + (-7 - 5) + 2.
-12
Calculate (38 + 9 - 25) + 8.
30
What is the value of (-10 + 3 - (-8 - 2)) + -3 + -21?
-21
What is the value of -38 + 59 + -9 + 1 + -10?
3
What is the value of 9 + 3 + 3 + -10 + (-2 - -3)?
6
What is the value of 4 + -16 + 1 + 3?
-8
Calculate 8 + -20 - (5 + -13) - 17.
-21
Calculate 10 - ((0 + -7 - -17) + -4 - 11).
15
4 + (2 - 0) - (-14 - (-8 + -6))
6
What is 18 + (18 - (-11 + 36) - 5)?
6
Calculate 21 + -13 - (-7 + 10).
5
What is (-3 - 1) + (1 - 6 - -1) + -1?
-9
Evaluate (35 - 41) + (-14 + 7 - 6).
-19
Evaluate 4 + (-16 + 3 + 8 - (3 + 1)).
-5
What is 0 + -2 + 2 + (68 + -53 - 14)?
1
What is the value of (-5 + 12 - (3 + -4 + 4)) + -6?
-2
What is the value of (-1646 - -1653) + (0 + -17 - 1)?
-11
What is the value of -2 - (-6 + -8 + (4 - 4))?
12
Calculate 4 + (38 + 1 - (-51 - -56)).
38
Calculate (-3 + 1 + -21 - 1) + -211 + 201.
-34
(-7 + 3 - -9) + -3 + 12
14
Calculate -7 + -7 + 10 + (4 - 13).
-13
What is 2 - 7 - (3 + 11 + -19) - -10?
10
18 + (3 - 30) + 24 + 0
15
-24 + 13 + 12 + (6 - 26)
-19
What is 4 + (-12 - (-1 - 2) - -6) - -3?
4
What is the value of (2 - (-2 + 8)) + (-2 - (-14 - 4))?
12
Evaluate -2 + 0 + -8 + 18 + -28.
-20
Evaluate -11 + -4 - (11 - 6 - (6 - -4)).
-10
49 + -31 - -1 - (1 + 6)
12
Calculate 53 - 15 - (-21 + 25).
34
-11 - 1 - (1 + -9) - (-8 - -1)
3
24 + -17 + 4 - 14
-3
Calculate 2 + -1 - (-15 - -21 - 18 - 2).
15
Calculate 1 + -2 + 5 + -1 + -9 - 1.
-7
22 + (8 - -1) + -39
-8
Calculate 9 + 6 + (-78 - -38).
-25
What is the value of -7 - (-38 - -39) - (17 + -1 + -1)?
-23
What is (-6 - (-3 - (-2 - -5))) + -3 + -9?
-12
Calculate 8 + (0 - (2 - 10)) + -49.
-33
Evaluate -1 + (-14 - -8 - -9) + 4.
6
What is -9 - (-18 - -21 - 13)?
1
Calculate 6 + -5 + 6 + -6 + -2.
-1
Calculate -7 - (18 - 28) - (-7 - 0).
10
Evaluate ((-11 - -14) + -18 - -7) + 7 + -2.
-3
Evaluate (2 + 1 - -2) + 13 + -6.
12
9 - (-1 + 4) - 1 - 5
0
What is -8 + -12 - -10 - -23?
13
Calculate -1 + 8 + -8 + -3.
-4
Evaluate 0 - 21 - (9 + -10 + 1).
-21
What is the value of 2 + 0 + (-9 - (-1 - 2)) + -6?
-10
What is 20 + (2 - (-13 + 17))?
18
What is 3 - (4 + 6 - 9) - (-2 + 6)?
-2
Evaluate (-13 - -5) + 4 + -16 + 10.
-10
-2 + (0 + 4 + 2 - (-3 - -13))
-6
Calculate 14 + (-2 - (-3 + 4) - 31).
-20
Calculate -12 - (10 + -6 + -9).
-7
What is -2 - (-18 + -4 + 27 - (-3 + 0))?
-10
(50 - 45) + (13 - 1) + -6 - 9
2
Evaluate 185 + -174 - (1 - -48 - 4).
-34
Evaluate (-8 - 0) + (2 + -11 - -4) + 1.
-12
What is the value of 21 + 27 + -39 - 8?
1
(-8 - -2) + 3 + 5 + -8
-6
-1 + 19 - (-321 + 336)
3
What is the value of (-1 - (-8 - (-4 - 2))) + 4 + 3?
8
What is 23 - (-30 - -15 - -4) - 14?
20
What is the value of -10 + (11 - 0) + 199 + -212?
-12
9 - (-34 + 49 - 8)
2
What is (10 - 2) + -10 + -1 + 0?
-3
Evaluate 30 + 9 + (-32 - 17).
-10
What is the value of 153 + -127 - (4 - -5)?
17
What is the value of -7 - (5 - (4 + 15) - -5) - 7?
-5
What is 7 + -20 - (0 + -12 + 4)?
-5
Evaluate -26 - (-18 - (-8 + -1 + 4)).
-13
Evaluate -27 + 22 - 7 - -17.
5
119 + -114 + (-3 - -2)
4
-11 + 5 - ((4 - 27) + 3 + 2)
12
What is the value of 18 + (4 - (1 + -7 + -4) - 7)?
25
Evaluate (77 - 34) + 19 + -32.
30
Evaluate (-2869 - -2862) + (0 - 1 - -7).
-1
What is 2 + -3 + (93 - 81) - (0 - -2)?
9
What is the value of -5 - -6 - (-5 + 5 + -3)?
4
5 + (-3 + 3 - 2) + -4 + -3
-4
What is the value of (3 - (-3 - (8 - 10))) + -4?
0
What is 0 - -2 - (-26 + 14)?
14
Evaluate -24 + (-8 - -43) - -6.
17
Evaluate -12 + -2 + 16 + -13.
-11
(-192 - -182) + (-2 - -30 - 2)
16
What is 4 + 8 + -10 + 7 + -2?
7
What is 12 + 11 + -1 + -24?
-2
Evaluate -10 + (-2 - -5) + 2 - (32 + -37).
0
What is (-4 -
|
{
"pile_set_name": "DM Mathematics"
}
|
for h.
3
Let y(c) = c**3 + 33*c**2 - 444*c + 143. Let h be y(10). Solve 32*i - 36*i - l + 12 = 0, 0 = -h*i - 5*l + 9 for i.
3
Let d be -6 - -6 - -4 - -72. Let v = d + -73. Solve -3 = -4*w + w - v*b, -5*b + 19 = -2*w for w.
-2
Let f be 6480/(-70) - (-9)/(-21) - 2. Let m = f - -106. Solve -2*c + p - m = 1, 3*c = 2*p - 20 for c.
-4
Let m = -15 - -15. Let v(j) = -j**3 + 10*j**2 - 9*j + 4. Let b be v(9). Suppose -b*r = -m - 12. Solve -2*d = r*q + 3*d + 32, 4*q + d + 20 = 0 for q.
-4
Suppose 2*k - 23 = -214*s + 213*s, 2*k - 18 = 0. Solve -s = -2*f - o, 5*f + 265 = 3*o + 272 for f.
2
Suppose w + 3 = -2*p, 2*p = 3*w - 7 - 0. Let i be (-20)/(-20)*(p - -7). Solve -3*o = 4*z - i*o + 28, 2*z - 5*o = -30 for z.
-5
Suppose l + 2*h - 20 = 0, -2*l + 4*h + 99 - 123 = 0. Solve 16*a + 13 = 3*w + 17*a, 2*w + l*a = 2 for w.
5
Suppose -2*x = 3*k + 27 - 74, 79 = 4*x + 3*k. Solve -5*y = -2*g - 6, -4*y - 4*g + x = -0*g for y.
2
Let r(h) = -9*h + 31. Let f be r(-11). Suppose 0 = -f*m + 134*m. Solve -4*l + 7 = 2*n - 3, m = 2*l + 4*n - 2 for l.
3
Let n(p) = -3*p**3 + 10*p**2 - 6*p + 13. Let h be n(3). Solve -16 = 2*a + 3*j, h*a - 1 - 3 = 3*j for a.
-2
Let o be (-57)/(-38)*12/2. Suppose 7*y + 4 = o*y. Suppose -7 = -y*l + x, -l - 2*x + 10 = 4. Solve 0*u - l*u - v = 2, 3*u = 5*v + 10 for u.
0
Let a = -25949 - -25951. Solve -19 = -u - a*n - 21, -5 = -5*n for u.
-4
Suppose 3*j - 4*p + 1271 = -116, j - 2*p + 463 = 0. Let f = -459 - j. Solve f*l - 2*y - 4 = 0, -l + 2 = 4*y - y for l.
2
Suppose 256 - 712 = 8*f. Let i be (f - -51)*(-4)/3. Solve 3*h - 2*m = 2*m + i, -3 = -h + m for h.
4
Let o(b) = -b**2 + 9*b + 253. Let k be o(-12). Solve -4*y + f = 4*f + k, -f = 5*y - 7 for y.
2
Let a(y) = -2*y**3 - 22*y**2 - 2*y - 3. Let r be a(-11). Suppose -3*b - z + r = 0, -6 = 4*b - z - 22. Solve -2*x = 2*u - u + 13, -2*x = b*u + 33 for u.
-5
Let r = -7718 - -7726. Solve -r = -2*z - z - 4*q, q = -3*z - 7 for z.
-4
Suppose -3*z = -z, w = z + 32. Let t(f) be the second derivative of f**4/12 - f**3/3 + f**2 - 62*f. Let o be t(3). Solve 4*c - w = -o*h + c, c = h for h.
4
Let g be (-4)/(-6) - (-20)/6. Let i be 0 + -4 + 0 - -7. Suppose -i*r = 5*j - 9, j - 1 = -r + 2. Solve -5*k - 22 = -r*d, -5*k - 2 = g*d - 8 for k.
-2
Suppose -3*s - s = 6*s - 280. Solve -2*p - s = 4*i, 2*p = 5*i + 8 + 9 for p.
-4
Let z be (-7 + 2)/(-15) + 680/12. Let u = z + -49. Solve u = 2*d, -2*k - 4*d + 25 = k for k.
3
Let u = -70 - -85. Let o be (((-8)/6)/4)/(u/(-45)). Let y = 6 - 4. Solve -2*x - 3 = 3*q + y, 0 = 4*q - 3*x + o for q.
-1
Suppose 29*t + 102 = 508. Solve -4*i - 29 = 3*d - 0, -3*d = i + t for d.
-3
Suppose 0 = 9*c - 7*c. Let j = 655 - 652. Solve s - 9 = 5*q + j, c = -4*q - s - 6 for q.
-2
Let l be 3 - 1*(0 + 0). Suppose 18*j - 2*u = 14*j - 1142, 3*j + 3*u + 834 = 0. Let y = j + 300. Solve -x + 0*m - y = l*m, -m - 3 = -x for x.
-2
Let r = 25823 - 25818. Solve -f = -r*a - 7, -f = 5*a + 237 - 224 for a.
-2
Suppose 15*u - 40 = 5*u. Let g be u + (-5)/(-25)*5. Suppose g*o - 84 = -3*c, -45 = -2*o - 2*o + 5*c. Solve 43 = 4*i + 3*r + o, 3*i - r - 8 = 0 for i.
4
Let r(b) = -b - 1. Let j be r(-4). Suppose -14*c + 144 = -197 + 187. Solve -j*k - 14 = t, -c = -3*k + 2*t + 2*t for k.
-3
Let r = 51 - 51. Suppose 138 = -2*w - r. Let p = w - -72. Solve -p*s + 2*h = 17, 3*s = 4*s - 4*h + 9 for s.
-5
Let x(l) = l**3 - 12*l**2 + 23*l + 21. Let o be x(3). Solve -5*u + 7*b - 8 = 11*b, o = 3*b for u.
-4
Let t be (-114)/(-76) - 21/(-2). Let w be 15*((-160)/t)/(-10). Let d be (-2)/5 - (-54)/10. Solve 0 = s - d*h - 10 - w, -35 = -3*s + 4*h for s.
5
Suppose 6 = 2*a + 4. Let u be (-2)/9 + (-173)/(-9) + a. Solve -5*r = -c + 2 + 3, 5*r = -4*c + u for r.
0
Suppose 0 = 7*q - 4*m - 45, 5*q + 175*m - 3 = 173*m. Solve -3*r = q*o, o = r - 3 - 1 for o.
-2
Let u = -8688 - -8700. Solve -u = 3*x + 6*g - 5*g, -20 = 5*x - 2*g for x.
-4
Suppose 2*t = -2*r + 294 - 284, -r + 5 = -4*t. Solve t = -2*u + 3*n - 7, -19*n - 5 = u - 21*n for u.
1
Suppose -5*o = 2*z + 2602, 5*z + 1189 = 4*o + 3264. Let u = -520 - o. Solve -16 = 4*l + 4*b, u = -5*l + 2*b + b + 4 for l.
-1
Suppose d = 3*o - 11, -348 = -5*d - 373. Suppose g + 5 = -2*u, -3*g + 5*g - 4*u = 30. Solve -o*y + 4*p + 12 = 0, -2*p = -g*y - 3*p - 3 for y.
0
Suppose -b + 1167 = -4*c + 1175, -16 = -2*c - b. Solve -3*i + 8*i - 15 = -2*n, 4*n = c*i - 12 for n.
0
Let d(h) = h**3 + 9*h**2 + 7*h - 8. Let f be d(-8). Let s = 210840 - 210836. Solve -8*g + 5*g - 17 = 5*k, f = -s*k + g - 17 for k.
-4
Let r(n) = 2*n - 27 - 2*n**2 - 25 - n + 54 - n**3. Let t be r(-2). Solve t = -v + 6*v - 4*z - 22, -3*z = 9 for v.
2
Let f be ((8 + 32)/4 + -20)*1/(-2). Solve -3*a + u - 4*u = -15, f*a - u = 25 for a.
5
Suppose 3*s + 5 = 4*i - 9, 5*i - 20 = 5*s. Let n = -3107 + 3107. Solve n = 2*p + i*g, 0 = 4*p + 5*g - 2*g - 1 for p.
1
Let m(t) = t**3 + t**2 - t - 2. Let a be m(2). Let v be (4/(-3))/(a/(-12)). Let c = -586 + 591. Solve 0 = v*q - s - c, -2*q - 3*s = -6*s - 11 for q.
1
Suppose 5972 - 5847 = 25*o. Solve -2*l + 4*h = -18, -o*l = -5*h - 22 - 8 for l.
3
Let t = -48 + 67. Suppose 0 = -3*r - 3*c + 78, -2*r - 22*c = -17*c - 61. Let z = r - t. Solve -6*s + z*q = -3*s + 9, q = 3*s + 9 for s.
-3
Suppose 4*v = 2*x + 19 - 7, -10 = -v + 4*x. Let r(a) = 2*a**2 + 8*a - 8. Let k be r(-5). Let g be (0 + 12)/(3/k). Solve -i - 2*t - t + g = 0, 8 = v*t for i.
-4
Let p(w) = w**3 + 16*w**2 - 3*w + 90. Let a be p(-14). Suppose r = -a + 528. Solve -3*g = t - 4, -48 = r*t - 4*g - 16 for t.
-5
Suppose 2*f - 5*l = -1600, -92*f + 5*l - 3970 = -87*f. Let w = f - -797. Solve p - w = -2*n, p = 3*p + 2 for n.
4
Suppose -1675 = -23*g + 7686. Suppose g - 167 = 10*u. Solve -x = -5*o - u, 0 = -3*x - 0*o + 2*o + 7 for x.
-1
Let u = 131 - 127. Suppose 5*f - u*r = 16, -5*f = r - 3 - 18. Suppose q - d = 4*d + 6, -5*q = -f*d - 30. Solve -q = -5*p - 5*g + 14, 2*g = 3*p + 13 for p.
-1
Let l be 4/6 - (-8)/6. Suppose -20*s - 2*w = -21*s + 7, 15*s + 4*w - 37 = 0. Solve l*y + s*y - 5 = -d, 4*y - 4*d - 4 = 0 for y.
1
Let w = 17830 - 17830. Solve -8*a - 4*l + 26 = -3*a, 4*a - 2*l = w for a.
2
Suppose 0 = -4*i + 5*i - 2. Suppose i*l + 5 = 9. Let k(o) = 38*o + 81. Let q be k(-2). Solve -7 = f - l*c - 0, 0 = 3*f - q*c + 20 for f.
-5
Let q be ((-41)/(-82))/((-9)/(-10) - (-4)/(-10)). Solve -f = 2*x, -2*f + q = -x + 11 for x.
2
Let i be (-3*8/18)/(6/(-9)). Solve f = 0, 0 = -i*r + 2*f + 5 - 3 for r.
1
Let m = 3340 + -3335. Solve 20 = 5*q - m*b, 12*b - 13*b = -3*q + 14 for q.
5
Let r be (-372 + -10)*1/2. Let x = 194 + r. Solve 22 = 3*w - 4*i, -2*w + 22 = x*w - 3*i for w.
2
Let w = -2856 - -2861. Solve -21 = -f + w*b, -2*f - 3*b + 6*b + 14 = 0 for f.
1
Let f = 16190 - 16182. Solve -3*w = 4*x - 13, -4*w - x - 2*x + f = 0 for w.
-1
Let u be 2/4 + ((-74)/4)/1. Let p be (-213)/u - (-7)/42. Let h be -10*(2/(-5) + 0). Solve 3*v - 6*v = -p, 0 = 4*c - h*v for c.
4
Let b be 1/(-13) - 6625/(-1625). Solve -t + 0 = b*r + 5, -t = -r for r.
-1
Let u(a) = a**2 + 7*a + 3. Let z(c) = -c - 16. Let d be z(-9). Let f be u(d). Suppose -401*p - 29*p = -3520 + 80. Solve f*l = l + p, k - 3 = -2*l for k.
-5
Suppose 0 = -45*h + 131 + 139. Let k(w) = -w**3 - 6*w**2 + 5*w - 14. Let c be k(-7). Solve -o = 2*g + 2, c = -3*o + h for g.
-2
Suppose 0 = -4*b + f + 161 + 160, -235 = -3*b - 5*f. Suppose -5*n + c + 53 + b = 0, -3*c = -n + 21. Solve -g = 3, -p - 2*p + 4*g = -n for p.
5
Let p = -7751 - -7765. Solve -3*q + p*r - 9 = 17*r, -2*q - 9 = -r for q.
-4
Suppose 4*f - 6*f + 44 = 0. Suppose -25*v + f*v = 36. Let s be -3 - 6/9*v. Solve -s*c + 20 = 4*o - 5, -3*o = 4*c - 19 for c.
1
Let z = 7012 - 7001. Solve z = -3*s - q, -3 = -3*s - 5*q - 34 for s.
-2
Suppose 17*z - 1687 + 1262 = 0. Solve z*w - 21*w + 2*a + 8 = 0, 2*w + 2*a = 0 for w.
-4
Let u(j) = -7*j**2 - 92*j - 9. Let c be u(-13). Solve 0*i + 4 = 2*i + c*b, 2*b = -4*i - 10 for i.
-4
Suppose -4*s + 440 = -6*f + 2*f, 2*s - 200 = -2*f. Suppose 111 = 2*y + s. Solve 2*i = -3*t - 10, -y*i + 4*t = -i - 4 for i.
-2
Suppose 40 - 43 = -3*r, 4*x - r = 7. Solve -x*z + 5*i + 0*i = 13, 2*i = -2*z + 8 for z.
1
Suppose -4*m + 25 = 3*k, -3*m = -6*m + 3*k + 3. Let b = 57 + -55. Solve 5*c = -b*q - 30, c + m*c + 5 = 3*q for q.
-5
Let f = -68 + 71. Suppose -y + 5 = 2*u + f*u, -4*u - y = -3. Let x be (3 - u - -1)/1. Solve 2*p - p = -4*v - 4, -3*p + x = -2*v for v.
-1
Let g be (-
|
{
"pile_set_name": "DM Mathematics"
}
|
escending order.
5, 0.2, w
Suppose -2 = -4*o + 6. Sort -2, 0, o in decreasing order.
o, 0, -2
Suppose -d = -3*d. Suppose d = n + 2*n - 6. Put -5, 4, n in descending order.
4, n, -5
Let n be ((-2)/(-4))/((-11)/(-22)). Let b be -3*(n - 68/66). Put b, -0.4, 0.5 in decreasing order.
0.5, b, -0.4
Let k = 0.006 + -2.806. Put 0, 0.2, k in decreasing order.
0.2, 0, k
Let v = 62 + -308/5. Let x = -2 - -2. Let f = 352/1503 - 2/167. Put f, x, v in decreasing order.
v, f, x
Suppose -3*c + 6 = 3. Sort c, -0.2, -0.1 in decreasing order.
c, -0.1, -0.2
Let x = 3 - -2. Let y = x - 2. Sort -2, y, 4 in increasing order.
-2, y, 4
Let l = -0.52 + 0.02. Let g = 0 - 1. Let h = g - l. Put h, -2/13, -3 in ascending order.
-3, h, -2/13
Suppose 5*a - 4*a + 4 = -k, -5*k = -2*a + 27. Let i = 5 + -8. Let w be (-4)/10 + (-4)/(-10). Sort w, k, i.
k, i, w
Let s be (-4)/6*(-1 - -7). Suppose 11 = 7*i - 10. Sort 0, i, s.
s, 0, i
Let i be (-51)/(-7) + 2/(-7). Suppose -2*o = 2*o - 20. Let y = i - o. Sort -5, 3, y in descending order.
3, y, -5
Suppose 0 = 4*f + f - 25. Let h(t) = t**3 - t - 1. Let i be h(-1). Put i, f, 3 in ascending order.
i, 3, f
Suppose -5 + 4 = -i. Put 0.1, -3/8, i in decreasing order.
i, 0.1, -3/8
Let s be (-4)/(-3)*(-9)/(-6). Suppose -s*y + 4 = 2. Let v be (3/9)/(y/9). Put -0.4, v, 4 in increasing order.
-0.4, v, 4
Suppose 0*n - 2*n - 6 = 0. Let t be (-1)/(0 - (-2)/4). Let i(w) = 3*w - 7. Let k be i(4). Put n, k, t in ascending order.
n, t, k
Let m = -49 - -195/4. Sort 2, 5, m in ascending order.
m, 2, 5
Let p = 0 + 0.5. Let l = 47 + -142/3. Sort 5, p, l in descending order.
5, p, l
Let q = -0.4 - 0.1. Let y = q + 0.7. Let k = 1 + -1.1. Sort y, -0.3, k in descending order.
y, k, -0.3
Let m = 2279/9 - 253. Let v be (-2)/(-1) - -1 - 9. Sort v, -0.5, m.
v, -0.5, m
Suppose -b - 1 - 3 = 0. Let x = b - -4. Put x, 3, 2 in increasing order.
x, 2, 3
Suppose -2*w + 10 = -0, 5*w - 21 = -4*d. Put d, 8, -2, 2 in increasing order.
-2, d, 2, 8
Let v be -3*((-40)/6)/4. Let j = 3 + -4. Sort j, v, 3 in ascending order.
j, 3, v
Let v(z) = -z**2 - 12*z - 14. Let u be v(-11). Put u, 1, -4 in descending order.
1, u, -4
Let x = -1067/7 - -152. Let i = -0.6 + 0.3. Put x, i, 0.4 in ascending order.
x, i, 0.4
Let m = -1 - -4. Suppose -m*c + 7*c = 0. Put c, 1, -3 in decreasing order.
1, c, -3
Let z = 18 + -13. Let f(b) = -b**2 + 5*b + 8. Let t be f(6). Suppose 3*k = -13 - t. Put k, -3, z in increasing order.
k, -3, z
Let y = 3 - 0. Let v = -8.4 - -8. Sort 1, y, v in descending order.
y, 1, v
Let r = -15.22 + 0.22. Let g = -8 - r. Let m = 7.4 - g. Sort 2, m, 1.
m, 1, 2
Let g = -1 + -3. Let u = -24 + 13. Let z = u + 8. Put 3, g, z in decreasing order.
3, z, g
Let l = 0.21 + -0.24. Sort -0.4, l, 2/17 in descending order.
2/17, l, -0.4
Let r be 0 + (3 - 1)/(-6). Sort r, 2/11, 0.3, 1/9 in increasing order.
r, 1/9, 2/11, 0.3
Suppose 4 = q - 0. Suppose -10 = -2*f + 7*f. Sort q, -5, f in descending order.
q, f, -5
Let g(t) = 3*t**2 - 1. Let q be g(-1). Let l(y) = 9*y - 24. Let b be l(3). Put q, 5, b in descending order.
5, b, q
Let b be 58/(-18) - -3 - 116/(-36). Put 2, 8, b, -2 in decreasing order.
8, b, 2, -2
Let a = -33 - -48. Suppose 0 = 5*w - 10*w + a. Put 2, -4, w in increasing order.
-4, 2, w
Let w be -1 + 0 + (-3)/(-9). Sort 4, w, 1/9 in descending order.
4, 1/9, w
Let l be 9/(-6)*10/(-15). Suppose -8*v = -3*v + 20. Sort l, v, -5.
-5, v, l
Let d(v) = v**2 - 3*v - 5. Let l be d(3). Put -1, -4, 4, l in increasing order.
l, -4, -1, 4
Suppose -7 = 3*t + 2. Put -10, 4, t in decreasing order.
4, t, -10
Let y(u) = -2*u + 7. Let h(v) = -5*v + 20. Let m(z) = 4*h(z) - 11*y(z). Let n be m(-2). Put n, 2, -2 in increasing order.
-2, n, 2
Let h = 3 + -2.9. Let m = 2.1 - h. Put m, -1/6, -2 in increasing order.
-2, -1/6, m
Let h = -8 - -4. Let o = 19.38 - 1.98. Let q = o + -17. Put 5, h, q in descending order.
5, q, h
Let y(n) = -n**2 - 3*n + 9. Let o be y(-5). Sort 3, 2, o in decreasing order.
3, 2, o
Let r = -35 + 31. Sort 1, 2, r in descending order.
2, 1, r
Suppose -4*p = 2*w - 18, 3*p - 2*w - 1 = 2. Suppose -1 = -4*t + p. Sort 0, -3, t.
-3, 0, t
Let d(o) = -o - 1. Let v(p) = -5*p - 2. Let f(z) = 3*d(z) - v(z). Let l be f(1). Let c be -2*(-2)/((-12)/(-9)). Put l, 2, c in increasing order.
l, 2, c
Suppose 3*y + 3*k = -12 - 3, 4*y = 3*k - 13. Suppose 2 + 14 = 4*z. Sort z, -5, y in descending order.
z, y, -5
Let c(j) = -3*j + 4. Let t be c(3). Suppose 3*a + 8 = a. Put 5, t, a in descending order.
5, a, t
Let h = 2 - 4. Let o be 78/12 - (-1)/(-2). Sort o, 5, h.
h, 5, o
Suppose -4*q = q. Let u = 12 + q. Suppose 3*x - 2*o + 9 = -u, 4*o = 12. Sort -4, x, 5 in ascending order.
x, -4, 5
Suppose 3*o = 5*o + 5*x - 69, -4*o - 4*x = -120. Let v be 2*1 + (-48)/o. Put 3/4, 0.4, v in descending order.
3/4, 0.4, v
Suppose g + u - 3 = 0, 3*g + 0*u + 2*u - 9 = 0. Suppose 0 = g*q - 5*k + 17, -4*k + 2 + 2 = 0. Sort -1, 4, q in decreasing order.
4, -1, q
Suppose 0*t + t + 5 = 0. Suppose -6 = -2*y + 4*y. Let q be (y/4)/((-18)/32). Put q, 4, t in decreasing order.
4, q, t
Suppose 4*p + 65 - 9 = 0. Let z = 10 + p. Put z, -2, 3 in descending order.
3, -2, z
Let g = -6 - -6. Let m be (-3 + g)/(3/(-10)). Suppose 10 = -5*u - m. Sort 4, -5, u in increasing order.
-5, u, 4
Let p = 337 + -340. Suppose z - 5 + 0 = 0. Put z, -2, p in decreasing order.
z, -2, p
Suppose 2*v - 2 = -0*v - z, 0 = 5*z. Let b = -18 - -20. Put b, v, -4 in increasing order.
-4, v, b
Let z = 3.02 - 3. Let u = 30.98 + -33. Let b = z + u. Sort -4, b, 0.3 in decreasing order.
0.3, b, -4
Let q be (54/(-11) - -3) + 1. Let f = 91/88 + q. Put -0.1, -4, f in ascending order.
-4, -0.1, f
Let w be (9 + -7)*10/(-4). Sort -3, 2, w, 0 in decreasing order.
2, 0, -3, w
Let m = -1.6 + 1.8. Sort 2, 3, m in ascending order.
m, 2, 3
Let s = 339/5 + -68. Put s, -1.7, 4 in ascending order.
-1.7, s, 4
Let q = 55/3 - 547/30. Let u = 0 + 0.2. Sort 2, q, u.
q, u, 2
Let f = 1.8 - 2. Put 5, 0.1, 2/31, f in decreasing order.
5, 0.1, 2/31, f
Suppose 0*v = 3*k - 3*v + 6, 5*k + 2*v = -17. Put 7/3, 0.5, k, 1 in descending order.
7/3, 1, 0.5, k
Suppose -5*g + 5*y - 7 - 3 = 0, -2*y + 8 = 0. Sort 3, 4, g in decreasing order.
4, 3, g
Let j = 0.11 + -5.11. Let v = 76.5 - 76. Put v, j, 4/7 in decreasing order.
4/7, v, j
Let z = 6.9 + -7. Let c = 2.2 - 9.7. Let a = c - -7. Put a, z, 5 in decreasing order.
5, z, a
Let l = -6 + 11. Let v = -6 + 5.9. Sort -5, l, v.
-5, v, l
Let u = -2 + 3. Let f = -65 + 321/5. Put u, f, 5 in descending order.
5, u, f
Let g = -0.13 - -3.13. Let a = -4 + g. Sort a, -0.3, -1/4.
a, -0.3, -1/4
Let u = 0.8 + -6.8. Put 2/3, u, 0.1 in decreasing order.
2/3, 0.1, u
Let c = 4 + -2. Let d be (-4)/(4 - 6 - -4). Put c, d, -1 in increasing order.
d, -1, c
Suppose -5*w + 3*o = o + 24, -5*o = -w - 14. Put -6, w, 0, 2 in increasing order.
-6, w, 0, 2
Let l(w) = 2*w - 3. Let m be l(4). Let r(p) = -p + 13. Let j be r(11). Sort m, 4, j in descending order.
m, 4, j
Let a be (-1)/((3/(-2))/3). Let k = 0 + a. Suppose -2*h - 2 + 0 = 0. Sort k, h, 1.
h, 1, k
Suppose 4*x = 8*x. Put 2, -5, x in descending order.
2, x, -5
Let v = 2/79 - 168/395. Let z = 0 + -1. Let i be (2/(-32))/(z/6). Sort -2, v, i in decreasing order.
i, v, -2
Let y = 11 - 10. Sort 9, y, 5 in descending order.
9, 5, y
Let g = 0.6 - -1.4. Let f be -2 + 5 - 2*1. Let a be (2 - (-22)/(-10))/f. Sort g, a, 4 in decreasing order.
4, g, a
Suppose 3*i = -i. Let u be i + 2 + (-18)/6. Put -3, 2, u in decreasing order.
2, u, -3
Let u = 18 - 22. Let m = -4 + 6. Put m, -3, u in increasing order.
u, -3, m
Let d = -0.08 + 3.08. Suppose 3*k + 5*f - 10 = 0, k - 9 = -k - f. Put -4, k, d in decreasing order.
k, d, -4
Let t = -2 - -5. Let b(h) = h**3 + h**2 - h - 1. Let q be b(-1). Let m be q - (2 - (-1)/1). Sort -2, t, m in descending order.
t, -2, m
Let k = 20 - 20.05. Sort k, 2, -4 in decreasing order.
2, k, -4
Let i = -0.2 + -1.8. Let g = i + -1. Let l = 1 - g. Put l, -2, 0.1 in descending order.
l, 0.1, -2
Let q = -1 - -6. Let l be (16/(-40))/(1/q). Let g(o) = -2*o. Let y be g(l). Put y, -4, -3 in decreasing order.
y, -3, -4
Suppose 2*p = -2*d - 4, -6*p + 2*p - 5 = d. Put 0.03, -0.4, p in descending order.
0.03, -0.4, p
Suppose 5 = -2*g - 1. Put 129, 5, g in descending order.
129, 5, g
Let n = -20 - -12. Let f be n/(4/(1 + -3)). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
(m*m**36*m/(m/m**39))/(m/(m*m*m/(m/(m*m**(-2/43)))*m*m)*m**(-2/39)) assuming m is positive.
m**(134168/1677)
Simplify (l**(-1/14)/l**(-3))/(l*l**1)**(-2/43)*(((l*l/(l*l**(1/4)*l))/l)/(l**5*l))**(2/23) assuming l is positive.
l**(16554/6923)
Simplify (((p**(3/11)*p*p**7)**34)**(-1/13))**4 assuming p is positive.
p**(-952/11)
Simplify l**(2/17)/(l*((l/l**(-10))/l)/l)*(l/l**40*l*l)/l*l/(l*l**(23/3))*l*l*l assuming l is positive.
l**(-2680/51)
Simplify (c*c**0*c)**(-8)/(c**1)**(-1/7)*(c**(-4)/((c/(c**(-1/7)/c))/c))/(c*c**6*c*c*c*c**(-2/11)*c*c) assuming c is positive.
c**(-361/11)
Simplify ((t**1/t**(1/2))/(t**(-1/2)/(t*t**0)))/(t**(-1/5)*t*t*t*t**(-1/4)*t*t)**41 assuming t is positive.
t**(-3691/20)
Simplify (o**(-6)/(o/(o*(o*o*o**(-1)*o*o)/o)*o))**4*(o**(3/4)*o*o**(-5)/o)**(-4) assuming o is positive.
o**(-3)
Simplify (u/(u**(15/2)*u)*u)**32/(u/((u/(u/u**22))/u))**8 assuming u is positive.
u**(-48)
Simplify ((c/c**(6/13)*(c*c*c*c**(-2/3)*c)/c)/((c/c**(-20))/(c*c**2)))**34 assuming c is positive.
c**(-20060/39)
Simplify (((a*a/(a*a*a*a**(-2/5)*a*a)*a*a)/a)**(-31)*(a/(a/a**(-2)))**26)**38 assuming a is positive.
a**(-456/5)
Simplify (r/(r**(-1/4)/r)*r**(-3/8))**(1/40)/((r**1)**(-25)/(((r/(r**6*r))/r)/r*r**3)) assuming r is positive.
r**(1283/64)
Simplify ((o**(-6/7)*o*o*o**(-2)*o**(-4)*o**3)**(1/8))**40 assuming o is positive.
o**(-65/7)
Simplify ((v**(-3/5)/v**(-11)*v**(-2/23)/(v*v**(3/4)))**(-10/7))**(-6) assuming v is positive.
v**(11817/161)
Simplify (((p**(-22)/p)/p)/((p/p**(1/34)*p)/p))/((p**6*p)/(p*p**(-4/15))) assuming p is positive.
p**(-15931/510)
Simplify (p*p**(-3/2)*p**4*p*p*p)/(p/p**1*p/p**(-5/2))*(p**(-1/2)/p)**(-8/13)/(p**(1/3))**(-8/3) assuming p is positive.
p**(563/117)
Simplify (g/((g*((g*g**1*g)/g*g*g)/g)/g)*g**(-1/3))**(-4/19)/((g*g**(-1/2)*g)**(3/31))**28 assuming g is positive.
g**(-6314/1767)
Simplify (w*w**(9/4)*w*w**11*w*w**9*w*w**5*w)**(-9/2) assuming w is positive.
w**(-1161/8)
Simplify ((k*k**(-2/15)*k)/(k*k**(-2/15)*k)*(k**(-1/3)*k)**16)**(19/4) assuming k is positive.
k**(152/3)
Simplify ((d**(5/12)/d)/(d/(d**(-18)*d))*(d**(-7/5))**(-48))**(39/2) assuming d is positive.
d**(37921/40)
Simplify (a**(16/7)*a)/(a/a**(-1/26))*a**32/a**(-22) assuming a is positive.
a**(10237/182)
Simplify ((w/(w*w**5*w))/w*w**(-2))/(w**(-3)*w*(w/(w**(-1/3)/w))/w)*(((w**(2/5)*w)/w*w)/w**(-3))**(-3) assuming w is positive.
w**(-323/15)
Simplify ((a**(-28/9)*a**(-2/71))**(2/47))**(-1/17) assuming a is positive.
a**(236/30033)
Simplify (s**(-2/61)*s/(s*s*s**38)*s*s*s*s*s/(s*s/(((s/s**(-2/3))/s)/s)*s)*s**(3/41))**(-2/69) assuming s is positive.
s**(559618/517707)
Simplify (((k/(k/(k*k**(-4/7))*k))/(k/(k**(2/13)/k)))/(k*k*k**(-6))**(1/21))**(-12/11) assuming k is positive.
k**(2432/1001)
Simplify (((r**(-8)/(r/r**(2/5)))/(r**(2/9))**(10/9))**(12/11))**(1/6) assuming r is positive.
r**(-7166/4455)
Simplify (((b**(-6)*b)/(b/(b*b**(-8)*b)))/(b/(b**(-5)*b)*b*b/(b/(b/(b*((b*((b/b**(-6))/b)/b)/b)/b*b))*b)))/(b**(1/7)/(b/b**13))**(4/3) assuming b is positive.
b**(-592/21)
Simplify (k/((k*(k/(k/((k/k**(1/3))/k)))/k)/k))/(((k*k**(4/5))/k)/k)*(k**1)**(-5/4)*((k**(-2/3))**(2/11))**(-6/7) assuming k is positive.
k**(6409/4620)
Simplify (u*u/(u**(-3/10)*u)*u*u*u**(-16)/u*u*u**8/u*(u**(-1/6)*u)/u)**9 assuming u is positive.
u**(-264/5)
Simplify ((q**15/q)**39/(q**16*q*((q/q**10)/q)/q))**(1/57) assuming q is positive.
q**(180/19)
Simplify (k**22)**24*(k/k**(3/14))**(-2/147) assuming k is positive.
k**(543301/1029)
Simplify ((m**(-2/13)*m)/(m/((m*m*m/(m/(m**(-5)*m)))/m)))**(25/3)/(m**(-1)/((m*m/m**6)/m)*(m**(-1/3))**9) assuming m is positive.
m**(-1064/39)
Simplify ((p/(p**1/p))**(-21/2)/(p**2/(p*p/(p/p**(3/8)))))/((p**1)**(-36)/(p**0)**(2/3)) assuming p is positive.
p**(199/8)
Simplify ((c**(-1)/(c**(-2/7)*c))/(c*c**(-5)*c**(2/5)))/((c*(c/(c/c**(-2/7)))/c*c)**(-4/5))**(-2/157) assuming c is positive.
c**(10322/5495)
Simplify (d*d**13/d*d**(-1/11)*((d/d**(-10/7))/d)/(d*(d**(4/5)*d)/d))**(-10) assuming d is positive.
d**(-9654/77)
Simplify ((v**(-3/13))**(-25)*(v/v**(-5/3)*v*v)**20)**33 assuming v is positive.
v**(42515/13)
Simplify ((l/l**13)**(-5)/(l/(l*l**(-11))*l**(-4/5)))**(-36) assuming l is positive.
l**(-8964/5)
Simplify ((h/(((h**(-8)*h*h)/h)/h)*h)**(-1/4)/(h*h**(-3/5)*h**17))**(20/11) assuming h is positive.
h**(-398/11)
Simplify (j/(j/(((j*j/(j/j**(1/3)))/j)/j)))**(-45)/((j*j*j**(-3)*j)/(j**(-3/2)/j))*j**1/j**1*(j*((j/(j/j**5*j))/j)/j)/(j*j**2) assuming j is positive.
j**(55/2)
Simplify ((((m*m**0)/m*(m/(m*m*((m/(m*m**5*m))/m*m)/m))/m)**(-5/6))**(-4/9))**(10/7) assuming m is positive.
m**(500/189)
Simplify ((j**1)**(-25)*(j**(-1/3))**32)/((j**1)**(-16/7)/(j**(3/4)*j**3)) assuming j is positive.
j**(-2489/84)
Simplify (((m/m**(1/2))**(7/2)*((m*m*m**4/m)/m)**(-2/41))**19)**1 assuming m is positive.
m**(4845/164)
Simplify z**(2/103)/(z/z**(-6))*z/((z*(z*z*z/(z**(2/57)/z))/z)/z*z*z)*z**(-1/47) assuming z is positive.
z**(-3026138/275937)
Simplify (t**(2/3))**18/(t**(1/3))**(-32)*(((t**(10/3)/t)/t)/t*t*t*t/(t/(t*t**(-14)*t)))**13 assuming t is positive.
t**(-103)
Simplify ((n**0*n*n*n)**(1/19)*(n**0)**(-2/169))/((n**0/n*n*n)**(-16)/(n**(-2/3)*n)**(-30)) assuming n is positive.
n**(117/19)
Simplify (f*f**4*f*f/f**1)**32*f**(-1/7)/f**(-1/9)*(f**1*f)**(1/4) assuming f is positive.
f**(24251/126)
Simplify ((((v*v/(v/v**9))/v**(2/13))/(v*v**(2/11)*v*v*v)**(-6/23))**43)**(-8) assuming v is positive.
v**(-538016/143)
Simplify (o**(-10)*o**12*o*o**(-5)*o/(o*o**5))**29 assuming o is positive.
o**(-203)
Simplify (j/j**(-1/6)*j*j**(-3)*(j**(-1))**(4/5))/(j*j**1*j**1)**(-8) assuming j is positive.
j**(671/30)
Simplify ((p**3/p*p)**(-20))**(-1/20)*((((p*p**(-4))/p*p)/p*p)/p)/p*p**(2/5)*(p**(2/9)*p)**40 assuming p is positive.
p**(2128/45)
Simplify (i/(i*i**13)*i*i**(1/6)/i)**32/(((i**7*i*i)/(i/(i**(-3)*i*i)))/(i/((i**1*i*i)/i)*i)**(3/23)) assuming i is positive.
i**(-1253/3)
Simplify (((s**(1/26)/s)/s**(-21))/(s**(2/13)/s*(s/(s/s**(-4/5)))/s))**(1/2) assuming s is positive.
s**(2949/260)
Simplify (j**(-31))**(-41)*j*j/(j/(j**(-42)/j*j))*j**30 assuming j is positive.
j**1260
Simplify (i**(3/2)*i*(((i**(-16)/i)/i*i)/i*i*i)/i*i*i*i*i*i**(3/8)*i*i*i**(-10))**(-1/25) assuming i is positive.
i**(29/40)
Simplify (o**0)**(2/19)*o**0/(o/((o/(o/o**7))/o))*(o**(-7)/(o/o**(3/5)))**(41/5) assuming o is positive.
o**(-1392/25)
Simplify (q/(q**(-2)*q)*q*q**1)**(2/61)/((q/(q*q**(2/7)))**(-6/7)/(q**(-1/4))**(-40)) assuming q is positive.
q**(29550/2989)
Simplify (i**2)**(-19)*(i**2)**(-2/17)*(i/(i/((i**(-5)*i)/i)))/(i**(-8)*i)*(i*i**1)**(-2/47) assuming i is positive.
i**(-29020/799)
Simplify j**(-7)/j**19*j*(j**(2/11)/j)/j*j*((j/j**(-4/17)*j*j)/j)/j assuming j is positive.
j**(-4597/187)
Simplify (f/f**1*f**(-4)*(f**1)**(-12/11))/((f**(-1))**(12/5))**44 assuming f is positive.
f**(5528/55)
Simplify ((i*i*i**(-3))/i**1*(i**(-1/2))**(-3/5))/((i*i/(i**(-2/11)*i))/i*(i**0/i)/i)**(-9/5) assuming i is positive.
i**(-547/110)
Simplify (((d*d**3*d)/d)/(d**(-7)/d))**17*(((d**(-3/7)*d)/d)**(-32))**42 assuming d is positive.
d**780
Simplify ((u**(3/7)*u**(3/4))/(u**16*u*u**14))**(2/3) assuming u is positive.
u**(-835/42)
Simplify ((m**(2/49)*m*m*m**(-28))/(((m*m*m**5*m)/m)/((m/m**17)/m)))**(-15) assuming m is positive.
m**(36720/49)
Simplify z**14/(z**(-1/41)*z)*((z/(z*z**(11/2))*z)/z)**49 assuming z is positive.
z**(-21031/82)
Simplify ((p/(p/(p*p**(2/5)/p))*p*(p/(p**(1/5)/p))/p*p)/(p**6*p**(1/3)*p*p*p))/((p/(p/p**(1/2)))**(-22)/(p**(-1))**(4/3)) assuming p is positive.
p**(53/15)
Simplify ((q**2*q)**(-38/5))**(-31)*(q*q**0)**29*q**3*q/(q**7/q) assuming q is positive.
q**(3669/5)
Simplify (((c/(c/c**(-2/11))*c)/c**(-3/11))/(c**(1/2))**24)/(((c*c**9*c)/c)/(c*c**4*c*c*c))**(-32) assuming c is positive.
c**(584/11)
Simplify (k/(k/(k/(k/k**(2/3)))*k*k)*k*k**0*k)/((k**(-2/9)/k)/k**(-3/8))*((k**(-1)*k)**8)**14 assuming k is positive.
k**(109/72)
Simplify (c/c**(-11)*c/((c/c**(-3/2))/c))**33*(c**0*c*c)**0/(c**(-2))**(1/8) assuming c is positive.
c**(1519/4)
Simplify ((p**14*p/(p**(-14)*p))/((p*p/(p/(p/(((p*p*p**13/p)/p)/p)))*p)/p**(-7)))**(2/107) assuming p is positive.
p**(60/107)
Simplify ((b**1*b*b**(2/25)*(b/b**(1/24))/b**(-4/9))**46)**(24/5) assuming b is positive.
b**(288374/375)
Simplify
|
{
"pile_set_name": "DM Mathematics"
}
|
)*(-2 - 1 + 1) - 2*h + 0*h + h in the form f*h + n and give f.
-13
Express -11*a + 49*a + 51*a as g*a + j and give g.
89
Express (-1 - 5 + 2)*(4 - 7*s - 4)*(2*s**2 - 2*s + 2*s) as u*s**3 + z*s**2 + p + d*s and give u.
56
Rearrange -s**3 - 6*s**3 + 0*s**3 + 0*s - 2*s to the form v*s + m*s**2 + n*s**3 + q and give v.
-2
Express -5 - c - c**2 - 1 + 5 in the form t*c**2 + a + n*c and give n.
-1
Rearrange -x**2 + x**3 + 15 - 15 - 5*x to a*x**3 + d*x + g*x**2 + h and give a.
1
Rearrange (-5 + 1 - 2)*(-30*a**2 - 34 + 34) to the form i*a**2 + u*a + k and give i.
180
Rearrange 0 + 0 - 2*u + 0*u - 3*u + 0*u + 2*u + u - 2*u + (-2 + 0 + 4)*(2*u + 4 - 4) + 3 + u - 3 - u - 5 + 2*u - 3*u to w + a*u and give a.
-1
Express 38*q + q**2 - 2 + 12 - 35*q in the form a*q + g*q**2 + d and give d.
10
Rearrange 7*m**2 - 1 + 1 - 5*m**2 + 3*m to the form v + c*m + k*m**2 and give c.
3
Rearrange (2 - 2 - m)*(1 - 1 - m**2) + 22*m - 22*m - 5*m**3 + 0*m**3 + 2*m**3 + 0*m**3 + m**3 + 0*m**3 - 3*m**3 to a*m + g*m**2 + i + n*m**3 and give g.
0
Rearrange (-3 + 2*n + 3)*(1 - 4 + 1) + (1 + 3 - 5)*(-17*n - 32*n + 16*n) to h + c*n and give c.
29
Express i**4 + 3*i**3 - 20*i - 19*i - 3*i**2 + 6*i**2 + 36*i in the form q*i + u*i**2 + b + a*i**4 + n*i**3 and give n.
3
Express -60*s**4 + 2*s + 59*s**4 - 2*s**2 + 3 - 1 in the form m*s**2 + a*s**4 + o*s**3 + u*s + p and give a.
-1
Express 3*r + r - r + (2 - 4 + 3)*(2*r + 154 - 154) as s*r + w and give s.
5
Rearrange 3 - 4 + 6 - 2*g**3 + 0*g**3 to the form q*g**3 + u + s*g**2 + n*g and give q.
-2
Rearrange (3*q - 5*q + 0*q)*(-3 - 2 + 3) + 29*q + 3 - 5 + 4 to b*q + p and give p.
2
Rearrange b - b**2 - 4*b + 2*b**3 - b**2 - 2*b to m*b**2 + j*b**3 + k*b + w and give m.
-2
Rearrange (2*w**2 - 9*w**2 + 4*w - 5*w)*(-5 + 5 - 3) to d*w + p*w**2 + f and give p.
21
Express -3 + 3 - 6*o**3 - 11 as q*o**3 + n*o**2 + p + u*o and give q.
-6
Express (3 - 6 + 4)*(2 + 1 - 1)*(-161*u**4 + 312*u**4 + 2*u + 53*u**2 - 153*u**4) as o*u + b + v*u**2 + z*u**4 + d*u**3 and give v.
106
Rearrange 62*c + 2 + 4 - 5 to the form a*c + b and give a.
62
Express (2*t - 3*t - t)*(-3 + 4 - 5) - 2 - 1 + 5 - 2*t in the form j*t + q and give j.
6
Express (4 - 3 + 0 + (-4 + 1 + 2)*(0 - 7 + 4))*(2 + 2*f - 2) as o + u*f and give u.
8
Rearrange (-2 + 0 + 5)*(p + 2*p + 2*p) to l + i*p and give i.
15
Express -f**4 - f**3 + 8 - 31 + 10 + 14 in the form k*f**3 + l*f**2 + z*f + c + j*f**4 and give k.
-1
Rearrange (c**3 + 2*c**3 + c**3)*(2 - 2 + 1) to o + z*c**2 + h*c**3 + u*c and give h.
4
Express (20*n**2 + 15*n**2 - 16*n**2)*(-1 + 1 + 2*n) - 5*n - 5*n**3 + 5*n as s*n**2 + h*n + j*n**3 + z and give h.
0
Rearrange (4 - 2 - 1)*(0*y - 3*y + 2*y) + 23*y - 16*y - 99*y to i + w*y and give i.
0
Rearrange (-o**2 - o**2 + o**2)*(-59 + 5*o + 59 + (0 + 3 - 4)*(-o - 5 + 5)) to the form t*o**2 + a*o**3 + k*o + m and give t.
0
Rearrange (65 + 33 - 72)*(-4*k + 4*k + 2*k) to x*k + i and give x.
52
Express (-8*c**2 + 3*c**2 + 4*c**2 + 3*c)*((3*c + c - 2*c)*(-3 + 1 + 1) - c - 3 + 3)*(-1 + 3 + 0) in the form v*c + y*c**2 + q + u*c**3 and give v.
0
Express m**4 - 6*m**4 - m**3 + m**2 - m**3 in the form d*m**3 + j*m**4 + p*m + n*m**2 + r and give d.
-2
Rearrange -5 + 18*f + 3 + 2 to b*f + s and give b.
18
Express (3*h**3 + 0*h**3 - h**3)*(5*h + 0*h + 2*h) + 3*h - 3*h - h**4 + h**4 + 4 - 4 as n*h**2 + s*h**3 + q*h + p*h**4 + k and give p.
14
Rearrange 0*m**3 + m**4 + 4*m**4 - 2*m**2 - 4*m**4 + m**3 - 2*m to the form w*m**3 + t*m**2 + z + r*m**4 + c*m and give t.
-2
Express 0*i + 6*i + 6*i + 6*i as b + v*i and give v.
18
Rearrange -4*r**3 + 14*r - 11*r + 2*r**3 to f*r**3 + x + i*r**2 + q*r and give f.
-2
Rearrange 4*w - 4*w + w**3 + (-4*w + 4*w - 2*w)*(-2*w**2 - 3*w**2 + 2*w**2) to b + q*w**2 + c*w + v*w**3 and give v.
7
Rearrange 3*s**2 - 1 - 41*s**3 + 42*s**3 + 4*s - 7*s to a*s**3 + k*s + z*s**2 + d and give a.
1
Express -7*a**3 - 12*a**3 - 8*a**3 + (-4*a**3 + 3*a**3 + 3*a**3)*(1 + 1 - 6) as i + o*a**2 + t*a + u*a**3 and give u.
-35
Rearrange (0 + 0 - 13*h)*(6*h**2 - 29 + 29) to x*h + t*h**2 + n*h**3 + b and give n.
-78
Rearrange -7 - 2*m**3 - 3*m**4 + m - 2*m**2 + 3*m**2 + 9 to the form l*m**3 + h*m**2 + p*m**4 + c*m + k and give h.
1
Express (6 + 3 - 7)*(-5*t + 3*t + 4*t) in the form r*t + n and give r.
4
Rearrange 8*g - 7*g + 2 + 12*g - 4 to t*g + s and give s.
-2
Rearrange (3*w - 14*w + 0*w)*(2*w**3 + 2*w**2 - 2*w**2) to v*w + t + f*w**4 + p*w**3 + z*w**2 and give f.
-22
Express -i**3 + 0*i**3 - 9*i + 18*i as y + h*i + a*i**3 + k*i**2 and give a.
-1
Rearrange -1 - 2*d**3 + 0*d**3 - 3*d + 3 - 2*d**4 + 0 to the form s*d**4 + l*d**2 + m + b*d + t*d**3 and give m.
2
Express -r + 603*r**3 - 2 - 603*r**3 + 7*r**4 in the form n*r**2 + j*r**4 + o + d*r**3 + z*r and give z.
-1
Express (0*p**3 + 0*p**3 + p**3)*(-1 + 4 + 0 + (0 + 2 - 3)*(-1 - 4 + 3) - 5 + 6 - 3 - 1 + 0 + 4) in the form o*p**3 + w*p**2 + j*p + z and give o.
6
Rearrange -8*a**2 + 0*a**3 - 9 - 3*a - a**3 + 2*a + 7 to i + o*a**2 + b*a + z*a**3 and give z.
-1
Express ((4*s + 0*s - 2*s)*(1 - 2 + 3) + (3*s - s + s)*(2 + 1 - 2))*(s**2 - 3 + 3) in the form b*s + t*s**2 + i + x*s**3 and give x.
7
Express 4*b**3 - 2 + 2 + 2*b**2 as s*b**3 + z*b**2 + o*b + i and give s.
4
Express 28*k**2 + k**4 - 28*k**2 + 2*k**3 - 2*k in the form a*k + h*k**3 + v + x*k**4 + y*k**2 and give a.
-2
Rearrange (-2 + 3 + 1)*(-3*i + 0 + 0) - 4*i - 8*i - 2*i to the form p + k*i and give k.
-20
Rearrange -3*f**3 + f + 5*f**4 + 2*f**3 - 1 + 7*f**4 - 6*f**4 to the form i*f**2 + r*f + m*f**3 + u + b*f**4 and give r.
1
Express 7 - 18*y - 7 as j + h*y and give h.
-18
Rearrange -7 + 5*i + 7 to f*i + p and give f.
5
Rearrange (1229 - 9*q**3 - 1229)*(-q + 2*q - 1 + 2) to the form p*q + g*q**2 + u*q**4 + k + z*q**3 and give z.
-9
Rearrange 37*r**4 - 21*r**4 + 8*r**2 - 17*r**4 + (6*r - 2*r - 2*r)*(0*r**3 + r**3 + 0*r**3) to the form c*r**2 + o*r**4 + w*r + n + l*r**3 and give c.
8
Rearrange (l**2 + 0*l**2 + l**2)*(0*l + 2*l - l) - l**3 - 5 + 5 + 3*l - 2*l**3 - 3*l - l + l + 2*l**3 to the form a + v*l**3 + g*l + u*l**2 and give v.
1
Express (3 - 4 + 0)*(13 + 29 - 60 - y) as n*y + p and give n.
1
Rearrange -115 + 49*r + 115 to y + k*r and give k.
49
Express (0 + 1 - 2)*(-2 + 4 - 4)*(2*q + 0 + 0) in the form n*q + s and give n.
4
Express (-4 - 2*l + 4)*(-1 + 4 - 5) + (5 - 7 + 6)*(l - 1 + 1) as m*l + y and give m.
8
Rearrange o + 11 - 21 + 10 to the form a + c*o and give c.
1
Express 7*t**3 - 3*t**3 + 16 - 2*t**3 as f*t**3 + r + z*t**2 + l*t and give f.
2
Express -3*q**2 - 3 - 4*q**3 + 2*q**3 + 2 + 9*q**2 as g*q**2 + h*q + n + a*q**3 and give n.
-1
Express (-n + n + 2*n)*(-1 - 2 + 2)*(-11 + 12 + 15) + (-5*n + 2*n + n)*(0 + 3 - 1) in the form u + p*n and give p.
-36
Express -108*i - i**2 - 2*i**3 - 6 + 109*i + 1 as p*i + n + t*i**3 + b*i**2 and give t.
-2
Rearrange -49*u**2 + 2*u**3 - 3085*u + 2 + 3085*u to d*u**2 + o + s*u + p*u**3 and give d.
-49
Express -6*z + 0*z + 5*z + 35*z**2 as a*z**2 + u*z + g and give u.
-1
Express ((2 - 2 - 1)*(0*t - 3*t + 4*t) + 0*t - 2*t + 4*t)*(4 + 5 + 2) as i*t + z and give i.
11
Express -2*i**3 - 6*i - 9*i**2 + 0 - 1 + 4*i + 8*i**2 - 2*i**4 as q + d*i**3 + z*i**4 + v*i**2 + m*i and give d.
-2
Rearrange -10*a - 22*a + 65*a to the form i + v*a and give v.
33
Express (1 + 6 - 5)*(3 + 6*u - 10*u - 2) as g*u + d and give d.
2
Express a - 3*a + 5*a in the form g + n*a and give n.
3
Express (0 + 0 + 2*a**3)*(13 + 40 + 14) in the form l + p*a + g*a**2 + s*a**3 and give s.
134
Rearrange (10*t + 21*t - 6*t)*(10 + 0 - 5)*(-1 - 4 + 3) to the form h*t + d and give h.
-250
Rearrange -2*f**2 + 8 - 8 + (0*f + 4*f + 6 - 4)*(-2*f + 2*f + 2*f) to the form u*f**2 + w + i*f and give i.
4
Express -w - 7*w**2 + 6*w + 8*w**2 as y + v*w**2 + o*w and give o.
5
Rearrange -130*t + 70*t + 71*t to the form i*t + y and give i.
11
Rearrange 4*l**3 - 5*l**3 - 2*l**2 - 10*l**2 to z*l**3 + s*l + d*l**2 + r and give d.
-12
Express -5*o + 0*o - 3*o as z + g*o and give g.
-8
Express (q + 2 - 2)*(-25 + 6 + 56)*(2 + 2 - 2) in the form t*q + o and give t.
74
Express (-12 + 2 + 8)*(3*m**4 - m**4 - 4*m**4) in the form l*m + h*m**3 + g*m**2 + x*m**4 + j and give j.
0
Express -71 - 2*o**4 + 74 - 2*o + 0*o - 3*o**3 as k*o**2 + x + l*o**4 + n*o + t*o**3 and give n.
-2
Rearrange (-7*p**3 + 7*p**3 + p**4)*(
|
{
"pile_set_name": "DM Mathematics"
}
|
5)*o*o/o**(3/5)*o*(o**(-2/13)/o)/o assuming o is positive.
o**(172/65)
Simplify k**(2/15)*k/(k*k*k*k**(-2/9))*(k/(k/(k**6*k)))/(k/((((k*k**6)/k)/k*k)/k)) assuming k is positive.
k**(421/45)
Simplify ((j**(-8)*j)/j)/j*j*j**(-2/9)*(j**(-1/2))**1 assuming j is positive.
j**(-157/18)
Simplify ((f**(-2/7))**(11/2))**(1/11) assuming f is positive.
f**(-1/7)
Simplify ((q/(q**(-1/11)*q*q*q*q))/(q/q**(-3)))/(q*q**(2/3)*q**(1/6)*q) assuming q is positive.
q**(-643/66)
Simplify (((w/w**0)/w)/w)/((w*w**(1/5)*w*w)/w)*w**(-3/7)*(w/(w*w**(-11)*w*w))/w assuming w is positive.
w**(153/35)
Simplify n*n*n*n**3*n*n/((n/n**(1/3))/n) assuming n is positive.
n**(25/3)
Simplify (z**32*z)/(z*z**(-28)*z*z) assuming z is positive.
z**58
Simplify (g/g**(-17))/g*g**(-19)/g*g assuming g is positive.
g**(-2)
Simplify (s**(2/45))**(21/4) assuming s is positive.
s**(7/30)
Simplify (g**(-1/11))**34 assuming g is positive.
g**(-34/11)
Simplify ((a/(a*a/(a*a**8)))/(a**(-3/2)*a))/(a**(-1)/(a*(a/a**(-1/2))/a*a)) assuming a is positive.
a**12
Simplify (a**8)**7 assuming a is positive.
a**56
Simplify l**(-1/3)/(l*l/((l*l*l*(l*l*l**(-2/31))/l*l*l)/l)) assuming l is positive.
l**(242/93)
Simplify j**5/(j/(j*(j*j/j**4)/j))*(j/j**(3/5))**(21/5) assuming j is positive.
j**(92/25)
Simplify w**9*w**(-5)*w*w**1*(w*(w**(-2/5)/w)/w)/w assuming w is positive.
w**(18/5)
Simplify (s*s*(s/(s**32*s))/s)/s*s**18 assuming s is positive.
s**(-14)
Simplify (d**(-1))**(-3/4) assuming d is positive.
d**(3/4)
Simplify (z**(3/23)/z)/(z**(4/11)/z*z) assuming z is positive.
z**(-312/253)
Simplify g**(3/11)/(g/(g**11/g)) assuming g is positive.
g**(102/11)
Simplify q**(-34)/q**(1/14) assuming q is positive.
q**(-477/14)
Simplify (r*r**(2/15))/r**(-2) assuming r is positive.
r**(47/15)
Simplify p/p**(2/3)*p**(-6/13) assuming p is positive.
p**(-5/39)
Simplify (i**6/i)/(i**5*i)*((i*i/i**(-1))/i)**(-20) assuming i is positive.
i**(-41)
Simplify ((h/h**4*h)/(h**(6/11)*h))**(-50) assuming h is positive.
h**(1950/11)
Simplify (c**(2/3)*c*c/(c**2*c))/(c*c**(3/5)*(c*c*c**4)/c*c) assuming c is positive.
c**(-119/15)
Simplify (((g*g**19*g)/g)/(((((g**7*g*g)/g)/g)/g)/g))**(-12) assuming g is positive.
g**(-180)
Simplify (b**(-10)*b/(b*b**(5/4)*b))/(b*b**(1/4))**(-17) assuming b is positive.
b**9
Simplify (h**(-4)/(h*h*h*h/((h**(-2/5)/h)/h)*h*h))**21 assuming h is positive.
h**(-1302/5)
Simplify k/(k*k**(-1/6)*k)*k/(k/(k/(k*k/k**10))) assuming k is positive.
k**(49/6)
Simplify ((b*b**(-7))/b*b/b**(-11/5))**46 assuming b is positive.
b**(-874/5)
Simplify (t*t*t**0/t)**(-3/17)/(t*t*t**1/t*(t*t*t**(-7))/t) assuming t is positive.
t**(65/17)
Simplify (t/(t/t**(1/11)))/t*t*t/t**(-20) assuming t is positive.
t**(232/11)
Simplify (g**(-2/13)*g*g*g**(-3/10))**(-9/5) assuming g is positive.
g**(-1809/650)
Simplify (h**4)**(-16) assuming h is positive.
h**(-64)
Simplify (r**(-27)*r)/r**(-10) assuming r is positive.
r**(-16)
Simplify (((o*o**(-2))/o)**(-1/8))**50 assuming o is positive.
o**(25/2)
Simplify ((((b*b**(-3))/b)/b)**(2/15))**40 assuming b is positive.
b**(-64/3)
Simplify (s**(1/3))**(14/5)/((s/(s/s**4))/(s/((s/(s/(s**(3/2)/s)))/s)*s)) assuming s is positive.
s**(-17/30)
Simplify ((d**(2/11)/d)/(d/d**(6/13)))**(-2) assuming d is positive.
d**(388/143)
Simplify f**(-1/3)*(f/(((f/f**(-1/4))/f*f*f*f*f*f)/f))/f*f/(f/((f**(-9)/f)/f))*f**(-9) assuming f is positive.
f**(-295/12)
Simplify ((w**(-2/23)*w*w)/w)**(23/3) assuming w is positive.
w**7
Simplify b*((b**(-2/15)*b*b)/b)/b*(b*b**(-2/35)*b)/b assuming b is positive.
b**(38/21)
Simplify (u*u**(-2/27)*u**1*u*u)**(-1/38) assuming u is positive.
u**(-53/513)
Simplify (n/(n/(((n/n**0)/n)/n)))**(10/11)/(n**0)**(8/3) assuming n is positive.
n**(-10/11)
Simplify (o**(-10)*o)/o**15 assuming o is positive.
o**(-24)
Simplify ((r/(r/(r*r**(-1/5)*r)))/r)/(r*r*((r/(r/(r**(-14)/r)))/r)/r*r*r*r) assuming r is positive.
r**(64/5)
Simplify (x/(x*x/(x**(-10)/x)*x))**38 assuming x is positive.
x**(-494)
Simplify p**1/(p/p**0) assuming p is positive.
1
Simplify ((d**(3/4)/d)/(d*d/(d*d**(-2/37))))**(-11) assuming d is positive.
d**(2123/148)
Simplify a*(a*a/((a/((a*a*a**(-1/39)/a*a*a)/a*a))/a)*a)/a*a*a/a**(-8/5)*a assuming a is positive.
a**(2062/195)
Simplify (m/(m*m/((m/m**(1/11))/m)))**35 assuming m is positive.
m**(-420/11)
Simplify (m**(1/15)/m*m/(m**(2/45)/m))**35 assuming m is positive.
m**(322/9)
Simplify (b*b/((b*b**(-7))/b))/b**(3/2)*b**8/(b*(b/(b*b*b/(b/(b*b**7))))/b) assuming b is positive.
b**(49/2)
Simplify (u/(u*u**(-1/5)))**35 assuming u is positive.
u**7
Simplify ((f/(f*f**4)*f)/f**0)/((f**(-8)*f)/((f*f*f**(1/8))/f)) assuming f is positive.
f**(41/8)
Simplify ((z*z*(z/(z*z**(-3)))/z)/z)/(z*z/(z/z**0))*z**1*z**(-2) assuming z is positive.
z
Simplify (r/(r**(-7)/r))**25 assuming r is positive.
r**225
Simplify (q**(-1/3)*q*q**1)**(-27) assuming q is positive.
q**(-45)
Simplify (a**16/a**(1/5))**(-2/27) assuming a is positive.
a**(-158/135)
Simplify ((y/((y/(y**(-1/4)/y))/y))/y)/y**(-9)*(y**(-5)/y)/(y**(-3)/y) assuming y is positive.
y**(23/4)
Simplify ((g*g**9)/(g/(g**3*g*g*g*g)))/(g**(1/12)/g**(-4)) assuming g is positive.
g**(143/12)
Simplify ((v/(v/(v/(v**(-1/5)/v)*v)))/v)/(v/(v*v*v/(v/(v/(v/v**(9/4))))*v))*v**3/(v*v**(3/8)) assuming v is positive.
v**(323/40)
Simplify h**(-2/7)*h**(2/5) assuming h is positive.
h**(4/35)
Simplify (a**19)**40 assuming a is positive.
a**760
Simplify (r*r/(r*r*r**3))**(-31) assuming r is positive.
r**93
Simplify (y*y**(-3/4))**(-5/7) assuming y is positive.
y**(-5/28)
Simplify (k**(-3)*(k*k*k/k**(-2/25))/k)/(k**(-2/5)/k*k)**(-41) assuming k is positive.
k**(-433/25)
Simplify (c**(-3)/c*c**(2/9)/c)/((c*c**(-5))/(c*(c/(c*c**(-3)/c*c))/c)) assuming c is positive.
c**(20/9)
Simplify (s**(-2)/s)**(8/5)*s**6*s**(6/11)*s assuming s is positive.
s**(151/55)
Simplify (v/v**(-2/13))/((v/v**(-2/9))/v) assuming v is positive.
v**(109/117)
Simplify j**(-1/16)/j**(-1/14) assuming j is positive.
j**(1/112)
Simplify (t**(-1/5))**(-2/27) assuming t is positive.
t**(2/135)
Simplify (p**(2/5)*p)**(-23)/(p**(2/7))**(-3/32) assuming p is positive.
p**(-18017/560)
Simplify z**10/z**(-2/15)*((z**(-4/3)*z)/z)/z**0 assuming z is positive.
z**(44/5)
Simplify ((u*u**(7/4))/u)/u**7 assuming u is positive.
u**(-21/4)
Simplify ((x*x/(((x/(x/x**(-13)))/x)/x))/(x**(1/2)/x))**(-5/6) assuming x is positive.
x**(-175/12)
Simplify (r*r**(5/7)*(r/(r*r**(-20)))/r)**(-7/2) assuming r is positive.
r**(-145/2)
Simplify (j/(j/j**0))**(-7)/(j**(-2)/(j*j/(j*j/(j/j**(-3/4))))) assuming j is positive.
j**(15/4)
Simplify (g/(g*g/(g*g**(-1/41))))/g**(6/17) assuming g is positive.
g**(-263/697)
Simplify k/(k*k*k/k**(-6/7))*k*k**14/k assuming k is positive.
k**(78/7)
Simplify u**(-7)/u**7*u**7/((u*u/u**(-3))/u) assuming u is positive.
u**(-11)
Simplify (t*t**8)**(4/19) assuming t is positive.
t**(36/19)
Simplify (f**(-18)*f)/(f/(f**20/f*f)) assuming f is positive.
f**2
Simplify (u**(-2/5)*u*u)**(-20)*u**(1/6)/(u/((u*(u/(u*u*u*u**(2/11)/u*u)*u)/u)/u*u)) assuming u is positive.
u**(-2245/66)
Simplify (g**(-1))**43*g**(-4)/(g**0*g) assuming g is positive.
g**(-48)
Simplify v/(v/(v/(v/(v*v**2*v))))*v*v*v**(1/5)*v**(-5)*v**0 assuming v is positive.
v**(6/5)
Simplify n**(-8)/n**(-10) assuming n is positive.
n**2
Simplify (o**(-1)*(o/(o/(o*o/o**(-1/2))))/o)**31 assuming o is positive.
o**(31/2)
Simplify (z**0/z)**(-1/25)*z**(5/4)/(z**(-2/3)/z) assuming z is positive.
z**(887/300)
Simplify (a*(a/(a/(a**(3/5)*a)))/a*a)/a*a**(2/15)*(a**1*a)**(-2) assuming a is positive.
a**(-34/15)
Simplify (((a/a**8)/a)**(-2/11))**(-37) assuming a is positive.
a**(-592/11)
Simplify (q**0)**(3/14)*q**(-4/9)*(q/(q*q**(1/7)/q*q))/q assuming q is positive.
q**(-100/63)
Simplify a*(a/a**1)/a*a*(((a/a**(2/3))/a)/a)/a*(a**(-2/7))**(-1/72) assuming a is positive.
a**(-419/252)
Simplify ((p**(3/2)/p)**(14/13))**(-50) assuming p is positive.
p**(-350/13)
Simplify (g/(g**(-1/4)*g*g))**(-2/35)*g*g**(-1)*g**(-7) assuming g is positive.
g**(-487/70)
Simplify z**3*z/(z*z**(-6))*(z**(1/3)/z)/(z**7/z) assuming z is positive.
z**(7/3)
Simplify a**(-3/4)*a*a**(2/7)*a**(-9)*a*(a/a**5)/a*a assuming a is positive.
a**(-321/28)
Simplify y**(-11/4)/((y/(y*y**(-6)))/y*y) assuming y is positive.
y**(-35/4)
Simplify (x**(-1/3))**(-2/23)/(x**4*
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Let w be g(a). What is the third smallest value in -4, w, 2/7?
w
Let f = 31.6 + -32. Which is the third biggest value? (a) -2 (b) 2/5 (c) f (d) 4
c
Let s = -0.5 + 0.4. Let k = -20.5 - -20. Let v = 0.3 + 0.7. What is the second smallest value in s, v, k?
s
Let m = 9/10 + -13/20. Suppose -2*k - 1 = -b - 2*b, 20 = 5*k. Suppose 0 = b*r + 2*r. What is the third biggest value in -4, m, r?
-4
Let i = 0.462 - 0.062. Let x = -2 - -1.9. Which is the third smallest value? (a) i (b) -0.04 (c) x
a
Let i = -0.006 - 0.494. Which is the biggest value? (a) i (b) -1 (c) 0.03
c
Suppose 5*k + 4*a - 656 = 8*a, -8 = 2*a. Suppose 2*u + p = k, 4*u + 5*p = 2*u + 136. Let n = u + -314/5. What is the smallest value in n, -1/9, -0.1?
-1/9
Let o be 8 + -3 + -1 - 2. What is the smallest value in 4/7, 5, o, -3?
-3
Suppose 2*f = 7*f + 20. Let o be (-4)/f*(-2)/18. What is the biggest value in 1, o, 0?
1
Let y = -3.18 - -0.18. Which is the biggest value? (a) 3 (b) -5 (c) y
a
Let h = 1.2 - 0.9. Let x be (-8)/(-6)*9/(-2). Let m be ((-1)/x)/(3/(-4)). What is the second smallest value in -5, m, h?
m
Let w = 0.7 - 0.6. Let i = -0.1 - -0.3. Let p = 0 + 0.5. Which is the second smallest value? (a) w (b) p (c) i
c
Let y = -0.34 - -0.53. Let i = y - -0.01. Which is the third biggest value? (a) 5 (b) i (c) -2
c
Let b = -97 + 67. Let a be ((-4)/(-6))/(4/b). What is the third biggest value in -2/7, a, -3/4?
a
Let i = 0.19 - -0.81. Let l = -6 + i. What is the third biggest value in 2/3, 1/3, l?
l
Let v = 2 - 2. Let l = -5 + 10. What is the third smallest value in l, v, -4?
l
Let v = -1.7 + -2.3. Let c = 6 - 6.3. What is the second biggest value in v, c, -0.2?
c
Let i = 24 + -28. Which is the second biggest value? (a) -5 (b) 0.5 (c) 0.3 (d) i
c
Let z be (-1)/((-4 + 76/20)*2). Which is the second biggest value? (a) 0 (b) 5 (c) -5/4 (d) z
d
Let y = -0.9 - -0.7. Let q = y + -0.3. Which is the smallest value? (a) -0.2 (b) -4 (c) q
b
Let g = 156 + -1402/9. What is the smallest value in 1/4, -0.2, 2, g?
-0.2
Let o be 1/(-2 + 21/9). Suppose 0 = -5*z + o*q + 34, 19 = 3*z + 2*z + 2*q. Which is the biggest value? (a) -1/5 (b) z (c) 4
b
Suppose d = -5 + 7. Let s = -662189/21 - -31539. Let h = s + -19/3. What is the biggest value in 1, d, h?
d
Let o = 10/13 - 27/52. What is the second smallest value in o, 5, -3, 0?
0
Let u = 2 + -4. Let j = 0.9 + 9.1. Let v = j + -11. Which is the smallest value? (a) v (b) -0.3 (c) u
c
Let o = 0.1 - -4.9. Let v = o - 3. Let m = 2 - v. Which is the smallest value? (a) 0.3 (b) 1/5 (c) m
c
Let z = -0.6 + -5.4. Let x = 6.3 + z. Suppose w + 4*w = 5. Which is the second biggest value? (a) x (b) -0.3 (c) w
a
Let y be 24/7 + -2 + 0. Let o = y + -33/28. Which is the biggest value? (a) -0.5 (b) 1/3 (c) o
b
Let s = 5 + -9. Let r = -3.14 + 0.14. What is the second biggest value in 1/4, s, r?
r
Let t = -4.4 + 4.1. Let z = -4/7 - -1/14. What is the second smallest value in z, t, 0.5?
t
Let i(s) = -s**3 + 5*s**2 + 6*s + 2. Let r be i(6). What is the third smallest value in -1, r, -1/2?
r
Let u = -0.6 + 0.9. Let s = -0.2 - u. Let r = -42 + 42.3. Which is the third biggest value? (a) r (b) 2/11 (c) s
c
Suppose -1 - 5 = -k. Let g be (-10)/4 + (-3)/k. Let j = 8 + g. What is the third biggest value in j, 0.1, -4?
-4
Let t = -9.9 + 10.4. What is the third smallest value in 3/7, t, -2/7?
t
Let o = -6.04 - -0.04. Let u = -6.2 - o. What is the smallest value in 0.3, u, -0.1?
u
Let a be 0 + (-8)/10 - 0. Let k = 8.3 - 6.34. Let r = 0.04 + k. What is the biggest value in a, 2/5, r?
r
Let f be 0 - -2 - (11 - 3). Let x be (-3)/(-2)*f/(-45). Which is the second biggest value? (a) 4 (b) x (c) -4/5
b
Let t = 10 - 15. Which is the biggest value? (a) t (b) -0.03 (c) -1
b
Let p be (-2)/(-13) - 60/(-117). What is the biggest value in p, -3, -0.2?
p
Let o = 14 - 13.6. Let m(k) = -k. Let s be m(-1). Which is the second biggest value? (a) o (b) s (c) 0
a
Let g be -18 + 3/(12/16). Which is the second smallest value? (a) g (b) 1/2 (c) 5
b
Let x be (-3 + 1 - 1)*1. Let r = -2 + -2. Let w = -0.2 + 0.1. What is the second smallest value in r, x, w?
x
Let q = 2.51 + -7.64. Let l = -0.12 - 0.01. Let a = q - l. What is the third smallest value in a, 0.4, 1/3?
0.4
Let l = -3 - -4. Let h = l - 2. Let u = 40 - 40.5. What is the smallest value in 0.5, h, u?
h
Let g = 18 - 18.2. Which is the second biggest value? (a) 1 (b) g (c) -5
b
Let m = -62 + 680/11. Let c = 3.92 + 0.08. What is the smallest value in 1, c, m?
m
Let o = -0.29 + -0.71. What is the second biggest value in o, 2/21, -5, 0.2?
2/21
Let t = 1 + -0.6. Let h = -9 + 0. Let s = h - -9.3. Which is the biggest value? (a) t (b) 2/25 (c) s
a
Let i = 2.096 - 0.096. What is the fourth biggest value in 0.04, 1/4, i, -2?
-2
Let m be 6/(-15) + (-86)/10. Let u(q) = -q - 6. Let z be u(m). What is the biggest value in -5/2, z, 5?
5
Let v = -16 - -8. Which is the third smallest value? (a) 0.2 (b) -2/17 (c) v (d) -0.2
b
Let h be (5/25)/(16/30). Let n be (-1)/(39/(-12) + 3). What is the second biggest value in h, 0, n?
h
Suppose 0 = 3*o - 10 + 31. Let d = o - -12. Suppose -4*s - 5*q - 13 = 0, 0 = 3*s - 6*q + q + 1. Which is the second biggest value? (a) s (b) d (c) 1/6
c
Let z = 0.3 - 1.3. Let t = -44 - -48. Which is the smallest value? (a) z (b) t (c) 5
a
Let c = -2.929 + -0.071. What is the third biggest value in -0.1, 5, c, -2/11?
-2/11
Let k = -0.05 + -0.01. Let l = k + 0.07. Which is the second biggest value? (a) l (b) -0.2 (c) 5
a
Let u be (-2 - -11)/3*-1. Which is the smallest value? (a) u (b) -4 (c) 0.8
b
Let y = -0.26 - -0.2. Let m = 5.06 + y. Let b be -2*(-1)/(-12 - -1). What is the third smallest value in -0.2, b, m?
m
Let r = -8 + 12. Suppose 2*f + u = 12, 3*f - 7*u + 3*u = 40. Let w be f/(-32) - (-21)/52. Which is the biggest value? (a) w (b) 1 (c) r
c
Let n = -15 - -11. Which is the biggest value? (a) 0.06 (b) n (c) 2/9
c
Let s = -56/135 - -2/135. What is the second smallest value in s, 4, -4?
s
Let u = -0.47 + 0.17. Which is the smallest value? (a) 1 (b) u (c) -1/2
c
Let u = 0.025 - 4.025. Which is the fourth smallest value? (a) u (b) -2/9 (c) 2/7 (d) -2
c
Let b = -18.15 + 0.15. What is the second smallest value in -4, -0.2, b?
-4
Let w = -21 + 20. What is the smallest value in 2/9, -3/5, w?
w
Let w = 0 - 0. Let z = w + 0. Suppose 5*t - 3*m - 6 = 0, -t - 18 = m - 24. Which is the second smallest value? (a) 1 (b) t (c) z
a
Let m = 122 + -121.6. Let g be (-14)/35 + 34/(-40). Which is the second smallest value? (a) g (b) 1/8 (c) m
b
Let j(x) = x**3 - 2*x**2 - x - 1. Let l be j(3). Which is the smallest value? (a) -2 (b) -0.3 (c) l
a
Suppose 4*h = 2*h - 8. Let f be h/(-18) + (-4)/(-144). What is the third smallest value in f, -2/23, 5?
5
Let q be 446/450 + 3/(-3). Let d = -247/2475 - q. Which is the biggest value? (a) -1/4 (b) 0 (c) d
b
Let x be (-1)/(-2) - 0/2. What is the third smallest value in x, 5, -4?
5
Let q = 8 - 7.7. Let i = 4 - 4. Let d = 4 + -1. Which is the second smallest value? (a) i (b) q (c) d
b
Suppose p = -5 - 0. What is the second smallest value in -2/3, -3, p?
-3
Let o = -61.4 + 61. Which is the third smallest value? (a) o (b) -2/29 (c) 1/3
c
Let z be 0 - (75/(-4))/(-3). Let m = 6 + z. Let i = -46 + 47. Which is the biggest value? (a) 0.3 (b) i (c) m
b
Let y = 125/156 + -2/39. Let p be 17 + -2*(4 - 3). Let t = -16 + p. What is the smallest value in y, t, 2/11?
t
Let t(d) = -d - 1. Let o be t(-5). Which is the second smallest value? (a) 1 (b) -4 (c) o
a
Let i = 147/5 + -29. What is the fourth smallest value in -3, -2, i, -0.2?
i
Let l be (50/28 - 8/28)*2. Which is the second smallest value? (a) -1 (b) l (c) -1/3
c
Let n = 10 + 4. Let w be (16/n - 0) + -1. What is the biggest value in -2/5, 2, w?
2
Let z = 0 - -2. Let q = -14 - -10. Let w = 0 + 3. Which is the second smallest value? (a) q (b) w (c) z
c
Let w be 1*((-72)/21 - -3). Let d = 1 + -0.4. Let p = d - 0.7. Which is the second smallest value? (a) w (b) p (c) 0.5
b
Let l = -83 + 60.5. Let u = l - -22. What is the biggest value in u, 3, 3/4?
3
Let n be 14/(-105)*(-3)/(-2). Let o = -8 - -5. Which is the smallest value? (a) o (b) n (c) 0.5
a
Let f = 0 - -0.1
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.2 (c) -5 (d) 0.02
c
Which is the closest to -1? (a) 1.6 (b) -0.4 (c) 92
b
Which is the nearest to -2/3? (a) -104 (b) -0.34 (c) 5
b
Which is the closest to -0.4? (a) 2537 (b) 3 (c) 10
b
Which is the closest to 0? (a) 24582 (b) 5/7 (c) -1
b
Which is the closest to -1/2? (a) 4 (b) -16.61 (c) 1 (d) -1.1 (e) -0.3
e
What is the closest to -1 in 760, 2, -3/2?
-3/2
What is the closest to 2 in -1, 0.1811, 0.36?
0.36
What is the closest to 1.2 in -0.2, 0.2, 6.2?
0.2
Which is the nearest to -240? (a) 3 (b) -3 (c) -6 (d) 5 (e) -1/3
c
Which is the closest to 1? (a) 5/3 (b) -4/5 (c) 10/7
c
Which is the nearest to -0.05? (a) 751 (b) 2 (c) -0.1 (d) 0.1 (e) 0.39
c
Which is the closest to -1? (a) 2/7 (b) 0 (c) -0.7 (d) 0.2 (e) -14
c
Which is the nearest to -6? (a) 0.5 (b) 0.2 (c) 1 (d) 5/3 (e) 274
b
What is the closest to 5 in 0.5, 2/79, -0.19, -2/11?
0.5
What is the closest to 1 in -2, 2/3, -0.5, -15, 2/7?
2/3
Which is the closest to -0.03? (a) 3/2 (b) 1/3 (c) 1/6 (d) 0 (e) 1/46
d
What is the nearest to 0 in 1, 78.22, -0.5?
-0.5
Which is the nearest to 0.3? (a) -0.35 (b) -1/3 (c) -0.4 (d) -1
b
Which is the closest to 3? (a) -2.62 (b) -2/15 (c) 3 (d) -0.02
c
What is the closest to -7 in 4, -0.3, -3, -251, 6?
-3
What is the nearest to 0.2 in -15, 2/3, 0.1, 1/4, -4.6?
1/4
What is the nearest to -0.3138 in -13, 2/17, 0.4?
2/17
What is the nearest to 0 in -0.03, -1/4, 98?
-0.03
What is the closest to 1 in 125, -4/3, 2/11, -0.065, -0.2?
2/11
Which is the nearest to -4? (a) -4 (b) -663/7 (c) 2/9
a
What is the closest to 89 in -2/19, 1.8, 5, -2/11?
5
What is the nearest to 0.3 in -0.5, -5/4, -102/5, -2?
-0.5
What is the nearest to -1 in 16, 1, -3/10, 0.01, -0.1?
-3/10
Which is the closest to 2? (a) 8 (b) 16.59 (c) -1/3
c
Which is the closest to 3? (a) 3/7 (b) -2/13 (c) -1752 (d) -1
a
What is the closest to -2/5 in 1/4, -5, -3/2, -5/3, -3?
1/4
What is the nearest to -13.8 in -0.72, 1/2, 4?
-0.72
What is the closest to 25 in 0.1, 5, -11, 2/5, -69/5?
5
What is the nearest to 3 in -24/25, 0.073, 0.3, 3?
3
What is the nearest to -1 in -24, 3, 25, -3?
-3
Which is the nearest to -0.1? (a) 2.8 (b) -98 (c) -5/102
c
Which is the nearest to 0.3? (a) -3/7 (b) -2 (c) -5361.1
a
What is the nearest to 3644 in -4, 0.4, -42?
0.4
What is the nearest to -2/13 in 50, -8, -0.1, 4/3?
-0.1
What is the nearest to -1 in 2, 0, 16, 1.1, 1?
0
What is the closest to 0.6 in -2/5, 6, -6838, 0.3?
0.3
What is the closest to -2 in -2, 5, 1.3, -1?
-2
What is the closest to 1/3 in 4, -19, -2/5, 2/7, -0.38?
2/7
Which is the nearest to 1? (a) 13 (b) -23035 (c) 3
c
Which is the nearest to -5? (a) -2.4 (b) 0.4 (c) -1 (d) 10/3 (e) -0.4
a
Which is the closest to -3/2? (a) 1/6 (b) -0.4 (c) -2/77 (d) 4
b
Which is the nearest to 1? (a) -0.05 (b) -15 (c) -51.3 (d) 1/6 (e) -2
d
Which is the nearest to -2/9? (a) 2 (b) 19/67 (c) 1/2 (d) -1/2 (e) -2
d
What is the closest to 0.031 in -5, 5/3, 5?
5/3
Which is the nearest to 1? (a) 4 (b) 2 (c) -448.1
b
Which is the nearest to 1/4? (a) 1 (b) 10/13 (c) -8
b
What is the closest to 1 in -0.3, 1/27, -4, -2/11, 0.3?
0.3
What is the closest to 12 in 2.7, 0.1, 35, 5?
5
Which is the closest to -8? (a) 0.02 (b) 3 (c) -3 (d) -5 (e) -4
d
Which is the closest to 3? (a) 6 (b) -40/13 (c) -2 (d) -0.5
a
Which is the closest to 0? (a) 1.1 (b) -1 (c) -5414 (d) 2/5
d
Which is the nearest to 2? (a) 14 (b) 2/7 (c) 0.02 (d) -1 (e) 37
b
What is the nearest to -4 in -1, -3, 2.7, 0, 0.5?
-3
What is the nearest to -4 in -459, 0.1, 0, 1?
0
Which is the nearest to 2/9? (a) -0.5 (b) 0.3 (c) 10 (d) -0.6
b
Which is the nearest to 5? (a) 0.1 (b) 0.019 (c) 0.09
a
Which is the closest to -46? (a) 4 (b) -13/3 (c) 2/7
b
What is the nearest to 1 in 3, 9892, 5, 4?
3
What is the nearest to -1 in -5, -1/3, 0.7, 6083?
-1/3
Which is the closest to 54/23? (a) -0.3 (b) 4 (c) -10 (d) -0.4 (e) 8
b
Which is the closest to 3? (a) -100 (b) 0.1 (c) 2 (d) 0
c
Which is the closest to -2/29? (a) -7 (b) -3 (c) 3/2 (d) -0.5 (e) 2.7
d
What is the nearest to 8/29 in -0.05, 13, -0.5?
-0.05
What is the nearest to 2 in -12, 2, -13, 0.02?
2
What is the closest to 3.883 in 0.1, -2/9, 0.4, 0.3, 2/3?
2/3
What is the nearest to -8/3 in -30, 5, -27?
5
What is the closest to 0 in -48/187, 3, -0.1?
-0.1
What is the nearest to 0.2 in -3, 2/2017, 2?
2/2017
What is the closest to -3 in 0.2, 4.41, -192?
0.2
What is the closest to 27 in 5, -1, 3, 91?
5
Which is the closest to 2/3? (a) -2 (b) 0.3 (c) 1/3 (d) -39 (e) -1.9
c
What is the nearest to 20 in -6/7, 2/3, 0, 0.6?
2/3
What is the nearest to 0.1063 in -9/2, 0.5, -4, 1?
0.5
What is the nearest to 1 in 545.1, -0.3, 2?
2
Which is the closest to -2? (a) 2 (b) 46101 (c) -3/5
c
What is the nearest to 2 in -73, -3, -0.3, -12?
-0.3
What is the nearest to 2.4 in 2/7, 1, -6, 1/8?
1
Which is the nearest to -0.2? (a) 1 (b) -2/5 (c) -26/19
b
What is the nearest to -129 in -6, -2/9, 10, -1?
-6
Which is the closest to 1? (a) -0.19 (b) -0.05 (c) 1/6 (d) 168
c
What is the closest to 0 in 8, -5, -3/23?
-3/23
Which is the closest to 12/7? (a) -54 (b) 2/5 (c) 1/6 (d) 0.6
d
Which is the closest to -2? (a) 955 (b) 2 (c) -0.26
c
What is the closest to 100/3 in 11/2, 1.96, -0.1?
11/2
What is the closest to -1015 in -2, -13, 0.4?
-13
What is the nearest to 0 in -2/9, 2/7, -5, 2, 17/4?
-2/9
Which is the closest to -9? (a) -6/47 (b) -2/9 (c) 2/9 (d) -2/3 (e) -3
e
What is the closest to 1 in -1/5, 5, 0.2, -0.01, 2088?
0.2
Which is the nearest to -82? (a) 0.2 (b) -0.1 (c) -13
c
Which is the nearest to 0.1? (a) -57 (b) 1 (c) -2.1 (d) 3/14 (e) -0.5
d
Which is the nearest to -0.252? (a) -1/2 (b) -1 (c) 0.3 (d) -5 (e) 124
a
What is the closest to 0.02 in 4, -1, -842, -5?
-1
Which is the closest to 107? (a) 3 (b) 5 (c) 316/5
c
Which is the closest to -15? (a) 0.4 (b) -2 (c) 1
b
What is the closest to 0.1 in 166, 30, 29?
29
What is the nearest to -1 in 5, -1/3, -1, -3/65, -2?
-1
What is the nearest to 0.3 in -14, 2/11, -1/7, 1/2?
2/11
What is the closest to -1 in 46, 19, 0.3, -1/2, 4.1?
-1/2
Which is the closest to 2? (a) -7 (b) -0.38 (c) -3 (d) 9/7 (e) -4
d
What is the nearest to 0.1 in -7, -22, -2, 2?
2
What is the nearest to -39 in 1/2, 0.3, -4, -48/11, 5?
-48/11
What is the nearest to -1 in -1, 0.1, -10, -27, -6?
-1
What is the nearest to 0 in -1/5, -2/17, -2/1947?
-2/1947
What is the closest to 1 in 1, -1/2675, 0, 0.1, -4?
1
Which is the nearest to -24/7? (a) 4 (b) 69 (c) 0.3 (d) 0.02
d
What is the nearest to 0.103 in -7, -3, -2?
-2
Which is the closest to -1? (a) -10 (b) -149 (c) 2/21
c
Which is the closest to -2? (a) -3/118 (b) -1 (c) 1/5 (d) -4
b
What is the closest to 2/7 in -0.3, 9, -8, -15/7, 1/3?
1/3
Which is the closest to -2/569? (a) 0.5 (b) -4 (c) -1 (d) 1
a
What is the nearest to -102 in 5, -5, 0.4, -1?
-5
What is the closest to -1 in 5, -34, 4, -535/6?
4
What is the closest to -1/3 in -8, -2, 5/3, 0.83?
0.83
Which is the closest to 186? (a) 2/5 (b) -1 (c) 0 (d) -7
a
Which is the nearest to 2? (a) -88/9 (b) 0 (c) 0.08
c
Which is the nearest to 17/5? (a) -3 (b) 1/4 (c) 0.3
c
Which is the closest to 2/27? (a) 22 (b) -0.1 (c) -1.2 (d) 7
b
What is the closest to -1/4 in 166/23, 19, 2?
2
Which is the closest to 2? (a) 5 (b) -5 (c) 27/17 (d) -0.4
c
Which is the closest to 2/5? (a) -5/4 (b) 188 (c) 145
a
Which is the nearest to -0.1? (a) -1 (b) 136 (c) -3/8 (d) 1/2 (e) -0.29
e
Which is the nearest to -1/4? (a) -0.2 (b) -410 (c) -5 (d) -13
a
Which is the closest to -2? (a) -2/15 (b) 3 (c) 5/8 (d) 4.77
a
What is the nearest to 2/11 in 0.3, 0.103, 1/6, -8, 5?
1/6
Which is the closest to -0.1? (a) 0 (b) 0.05 (c) -2339
a
Which is the nearest to 1/2? (a) -345 (b) -0.5 (c) -31
b
What is the closest to -59/2 in 4, 3/4, -5.9?
-5.9
Which is the nearest to 7182? (a) 2/15 (b) -4 (c) 1/5 (d) 0.1
c
Which is the nearest to -1? (a) -6.2 (b) -6 (c) 1/3 (d) -1
d
What is the closest to 0 in 0, -0.007, -7/4?
0
Which is the closest to 52/9? (a) -13.4 (b) -4/9 (c) 2
c
Which is the nearest to 0.1? (a) 5 (b) 0.1 (c) 6.4 (d) -13 (e) 4
b
What is the closest to 0.2 in 537, -
|
{
"pile_set_name": "DM Mathematics"
}
|
factor of 6755104 and 416.
32
What is the greatest common factor of 32584013 and 407?
407
Calculate the greatest common factor of 56 and 41701366.
14
What is the greatest common factor of 4880 and 2249131?
61
What is the greatest common factor of 39226 and 3674?
22
What is the highest common divisor of 58330785 and 195?
15
Calculate the highest common divisor of 38 and 53807126.
38
What is the highest common factor of 145 and 59144485?
145
Calculate the highest common factor of 387855 and 565305.
2535
Calculate the greatest common factor of 18259344 and 216.
216
What is the greatest common factor of 6294 and 653030823?
3147
What is the highest common divisor of 133 and 97268619?
133
Calculate the highest common divisor of 18412646 and 4396.
2198
Calculate the highest common divisor of 60927313 and 173.
173
Calculate the highest common divisor of 690 and 5926470.
30
Calculate the greatest common factor of 48 and 1049772.
12
Calculate the greatest common divisor of 9008248 and 368.
8
Calculate the highest common divisor of 478622 and 130260.
334
Calculate the highest common factor of 201556 and 10168.
164
What is the highest common factor of 72 and 15112?
8
What is the greatest common divisor of 2902 and 139345334?
2902
What is the greatest common divisor of 143840 and 7064?
8
What is the highest common divisor of 86 and 6582182?
86
What is the greatest common factor of 3484106 and 635189?
6289
Calculate the highest common factor of 56981 and 7086637.
2999
Calculate the highest common factor of 957 and 41893313.
319
Calculate the highest common divisor of 9827104 and 399.
133
Calculate the highest common divisor of 660 and 1156815330.
330
Calculate the greatest common divisor of 420 and 405175540.
140
Calculate the highest common factor of 16 and 385011840.
16
Calculate the highest common divisor of 5278 and 289373.
7
What is the greatest common divisor of 170771 and 94527?
389
Calculate the highest common divisor of 74 and 10309162.
74
What is the highest common factor of 30185661 and 2508?
627
Calculate the greatest common factor of 5592477 and 5754.
411
What is the greatest common divisor of 478577 and 583?
11
What is the greatest common factor of 2361306 and 18?
6
Calculate the greatest common divisor of 9590 and 104531.
959
What is the greatest common divisor of 91583454 and 459?
51
Calculate the highest common divisor of 9686 and 1179020.
334
Calculate the greatest common divisor of 112309 and 52150440.
4883
What is the greatest common factor of 634283 and 243373?
1261
What is the greatest common divisor of 182 and 248144?
26
What is the highest common factor of 19257363 and 72?
9
Calculate the highest common factor of 273666 and 11067.
51
What is the highest common factor of 113855268 and 12?
12
What is the greatest common divisor of 2162635 and 80?
5
Calculate the greatest common divisor of 32 and 232059184.
16
What is the greatest common divisor of 16925345 and 895?
895
What is the greatest common divisor of 759 and 76560?
33
What is the highest common factor of 850551008 and 4448?
4448
What is the highest common factor of 468696 and 1912?
8
Calculate the highest common divisor of 14960 and 754732.
748
What is the highest common divisor of 6722199 and 495?
99
Calculate the highest common factor of 15653 and 601304.
11
What is the highest common divisor of 459516687 and 7?
7
Calculate the highest common factor of 7603813 and 7.
7
What is the greatest common factor of 1505 and 11151620?
215
What is the highest common divisor of 573279 and 189?
21
Calculate the highest common factor of 3850758 and 16214.
134
Calculate the greatest common factor of 147 and 119874237.
147
Calculate the greatest common factor of 9269 and 2023057.
23
Calculate the highest common divisor of 89726 and 588642.
986
What is the highest common divisor of 6312820 and 50?
10
What is the greatest common factor of 107991 and 277184?
71
What is the greatest common factor of 737952 and 240?
48
Calculate the greatest common factor of 2840 and 1320955.
355
What is the highest common factor of 2128614 and 328098?
894
What is the highest common divisor of 49106109 and 3149?
67
Calculate the greatest common divisor of 2440564 and 196.
28
Calculate the greatest common divisor of 682 and 97871092.
682
What is the highest common factor of 17357 and 16405?
17
What is the highest common divisor of 289183 and 2272?
71
What is the greatest common divisor of 14170 and 10902398?
2834
What is the greatest common divisor of 7581736 and 767?
59
Calculate the highest common factor of 63963 and 4577835.
309
Calculate the highest common factor of 3674208 and 132.
12
Calculate the highest common divisor of 644319284 and 20244.
6748
What is the highest common divisor of 322 and 7218106?
14
What is the highest common factor of 684236 and 68698?
98
What is the greatest common divisor of 13964688 and 1296?
144
What is the highest common factor of 11729468 and 24?
4
What is the highest common divisor of 49244580 and 3420?
3420
What is the highest common factor of 123 and 452845?
41
What is the greatest common divisor of 17629226 and 29412?
1634
What is the greatest common factor of 27594 and 78462?
54
Calculate the greatest common factor of 447144 and 744.
744
What is the highest common factor of 818414 and 21318?
34
Calculate the greatest common factor of 300 and 9736575.
75
Calculate the highest common factor of 3739 and 1783.
1
What is the greatest common divisor of 3479701 and 88700?
887
What is the highest common divisor of 42 and 4106532?
6
What is the greatest common divisor of 2795 and 3139469775?
2795
What is the greatest common divisor of 9417 and 196897?
43
What is the highest common factor of 32589 and 44091?
1917
What is the greatest common divisor of 27988 and 197854169?
6997
What is the highest common factor of 10728 and 23625?
9
Calculate the greatest common divisor of 336960 and 11872.
32
What is the highest common factor of 73836 and 41692?
28
Calculate the greatest common divisor of 65 and 390883870.
65
Calculate the greatest common divisor of 6069 and 59423313.
867
What is the greatest common divisor of 14997192 and 63?
21
What is the highest common divisor of 1444 and 442548?
76
Calculate the highest common divisor of 3544190 and 60.
10
Calculate the greatest common factor of 75600 and 107190.
270
Calculate the greatest common factor of 2 and 46283.
1
Calculate the highest common divisor of 1943 and 2048994.
67
Calculate the highest common factor of 49280 and 201040.
560
Calculate the greatest common divisor of 16039 and 53578.
43
Calculate the greatest common factor of 1325 and 62534753.
53
Calculate the greatest common divisor of 17204 and 13096292.
1012
Calculate the highest common divisor of 19208345 and 1105.
65
What is the greatest common factor of 59438483 and 169?
169
Calculate the highest common divisor of 4165 and 11464285.
245
What is the greatest common factor of 883523 and 52244?
37
What is the highest common factor of 13505770 and 665?
95
What is the highest common factor of 9894 and 81413?
17
What is the highest common divisor of 261934883 and 5789?
5789
Calculate the highest common divisor of 1042 and 207628399.
521
What is the greatest common divisor of 663 and 1183?
13
Calculate the highest common factor of 3794945 and 22.
11
Calculate the greatest common divisor of 452556 and 1924.
52
Calculate the greatest common divisor of 11428300 and 1430.
130
Calculate the highest common divisor of 3913 and 51259.
13
What is the greatest common factor of 121089 and 16725?
669
What is the highest common divisor of 32046199 and 23?
23
What is the greatest common divisor of 1283627 and 1189?
29
Calculate the greatest common divisor of 144 and 4253168.
16
What is the greatest common divisor of 14 and 69357036?
14
Calculate the highest common factor of 2988 and 1152108.
36
What is the greatest common factor of 413985 and 624?
39
Calculate the highest common factor of 11198723 and 69.
23
What is the greatest common factor of 37931 and 360573?
457
What is the highest common factor of 12456653 and 121?
11
What is the highest common factor of 374 and 2871594?
22
Calculate the greatest common divisor of 33116 and 486.
2
What is the highest common factor of 1560942 and 9162?
|
{
"pile_set_name": "DM Mathematics"
}
|
55000
What is twenty-one halves of a litre in millilitres?
10500
What is 1151.958 years in decades?
115.1958
What is nine tenths of a century in years?
90
What is 21/8 of a centimeter in micrometers?
26250
How many nanoseconds are there in 273302.4us?
273302400
How many grams are there in 87893.65 micrograms?
0.08789365
What is 93.72652t in micrograms?
93726520000000
What is 1/15 of a minute in milliseconds?
4000
What is 24.99164 grams in micrograms?
24991640
What is 8401.7844 milliseconds in hours?
0.002333829
How many millilitres are there in 1/5 of a litre?
200
What is 0.3110771 millilitres in litres?
0.0003110771
What is 3/16 of a day in seconds?
16200
What is three eighths of a litre in millilitres?
375
Convert 0.2393816ng to grams.
0.0000000002393816
How many years are there in 31.84634 millennia?
31846.34
How many millilitres are there in twenty-five quarters of a litre?
6250
How many months are there in thirty-four fifths of a century?
8160
Convert 0.6908052ug to milligrams.
0.0006908052
How many years are there in 17/4 of a millennium?
4250
Convert 96605.26ml to litres.
96.60526
Convert 86.21088 litres to millilitres.
86210.88
What is 43.80956 centuries in years?
4380.956
What is 68424709.5 microseconds in weeks?
0.00011313609375
How many centuries are there in 3/5 of a millennium?
6
How many decades are there in 27/2 of a millennium?
1350
How many millilitres are there in 13/5 of a litre?
2600
Convert 7.3346 kilograms to micrograms.
7334600000
How many centimeters are there in three tenths of a meter?
30
What is 100.958m in centimeters?
10095.8
What is eleven halves of a gram in milligrams?
5500
How many centimeters are there in 64.82495mm?
6.482495
What is 21/5 of a kilometer in meters?
4200
Convert 214498.2 nanometers to meters.
0.0002144982
What is 37.59907 meters in nanometers?
37599070000
What is 346.9084 micrograms in milligrams?
0.3469084
How many millimeters are there in three tenths of a meter?
300
Convert 6.16752ml to litres.
0.00616752
What is eleven halves of a decade in years?
55
How many centimeters are there in three fifths of a kilometer?
60000
What is 0.6941561s in nanoseconds?
694156100
Convert 0.6791405mm to kilometers.
0.0000006791405
What is fourty-five eighths of a microsecond in nanoseconds?
5625
How many decades are there in one twentieth of a millennium?
5
How many nanograms are there in 1/20 of a milligram?
50000
What is 0.1759543l in millilitres?
175.9543
What is five eighths of a litre in millilitres?
625
What is fourty-two fifths of a litre in millilitres?
8400
How many micrograms are there in thirteen fifths of a milligram?
2600
What is 0.2095 microseconds in nanoseconds?
209.5
What is 40.6721mm in kilometers?
0.0000406721
What is five quarters of a millennium in years?
1250
Convert 415.452 tonnes to nanograms.
415452000000000000
Convert 19913.166 minutes to hours.
331.8861
What is 26/5 of a microgram in nanograms?
5200
What is 18/5 of a millennium in centuries?
36
How many days are there in 7741.899 minutes?
5.37631875
How many milliseconds are there in 8042.31 minutes?
482538600
How many tonnes are there in 0.473661 nanograms?
0.000000000000000473661
What is seven halves of a century in years?
350
What is fourty-two fifths of a tonne in kilograms?
8400
How many years are there in 13/5 of a decade?
26
What is 8/25 of a kilogram in grams?
320
How many decades are there in 10214.985 months?
85.124875
What is 4.734057um in nanometers?
4734.057
What is one fifteenth of a minute in seconds?
4
How many milliseconds are there in fourty-six fifths of a second?
9200
What is 18/5 of a meter in millimeters?
3600
What is twenty-one quarters of a milligram in micrograms?
5250
How many weeks are there in 78.927534 hours?
0.46980675
Convert 2.4084177 months to years.
0.200701475
How many kilograms are there in 15/4 of a tonne?
3750
What is 5193.373 kilograms in micrograms?
5193373000000
What is 10/9 of a day in minutes?
1600
What is 8.364021 millennia in centuries?
83.64021
How many years are there in 70.91157 decades?
709.1157
How many milligrams are there in 6/5 of a gram?
1200
How many litres are there in 0.093617 millilitres?
0.000093617
What is ninety-one quarters of a milligram in micrograms?
22750
Convert 477.9451 decades to millennia.
4.779451
How many grams are there in 3/10 of a kilogram?
300
How many micrometers are there in six fifths of a millimeter?
1200
How many microseconds are there in 866.515ms?
866515
What is 0.1495962 tonnes in micrograms?
149596200000
Convert 899313.9 kilometers to meters.
899313900
What is 1.9669362 months in millennia?
0.00016391135
What is 47/4 of a milligram in micrograms?
11750
What is 48684.6ml in litres?
48.6846
What is 8.790564 kilometers in meters?
8790.564
What is 9.240482nm in meters?
0.000000009240482
How many millimeters are there in 76/5 of a centimeter?
152
How many weeks are there in 1681084.503 seconds?
2.7795709375
What is twenty-five quarters of a millennium in decades?
625
How many nanoseconds are there in eleven halves of a microsecond?
5500
How many litres are there in 7611.81 millilitres?
7.61181
What is 89849.59 centimeters in meters?
898.4959
What is 48807.06l in millilitres?
48807060
Convert 224644.6ml to litres.
224.6446
What is one tenth of a kilogram in grams?
100
What is 7.435187l in millilitres?
7435.187
How many meters are there in 71.58839 millimeters?
0.07158839
What is fourty-five quarters of a micrometer in nanometers?
11250
Convert 414.9308kg to nanograms.
414930800000000
How many years are there in fourty-one halves of a century?
2050
What is 1/4 of a meter in millimeters?
250
What is sixty-three eighths of a gram in milligrams?
7875
What is thirty-seven fifths of a second in milliseconds?
7400
How many minutes are there in 1/4 of a day?
360
How many months are there in 230874.6 millennia?
2770495200
How many centuries are there in 112549.26 months?
93.79105
What is 46/5 of a kilogram in grams?
9200
What is 17/4 of a tonne in kilograms?
4250
What is thirty-one fifths of a litre in millilitres?
6200
What is seventeen halves of a litre in millilitres?
8500
How many litres are there in 0.3332192 millilitres?
0.0003332192
Convert 764.0014 nanometers to kilometers.
0.0000000007640014
What is 1/5 of a week in minutes?
2016
What is seven quarters of a hour in seconds?
6300
How many years are there in 6/25 of a millennium?
240
What is fifteen quarters of a litre in millilitres?
3750
How many meters are there in 4718.143 nanometers?
0.000004718143
Convert 85.56494m to micrometers.
85564940
What is 17/2 of a kilometer in meters?
8500
What is 0.022377 years in months?
0.268524
How many millilitres are there in 5/4 of a litre?
1250
Convert 0.8229527us to seconds.
0.0000008229527
What is 714.81555ms in hours?
0.000198559875
Convert 9879.762 centuries to millennia.
987.9762
What is twenty-one halves of a litre in millilitres?
10500
Convert 5374.976 tonnes to grams.
5374976000
What is one twentieth of a gram in micrograms?
50000
Convert 119.0432187 microseconds to weeks.
0.00000000019683071875
What is 81541.99 litres in millilitres?
81541990
What is twenty-one eighths of a centimeter in micrometers?
26250
How many millilitres are there in 1/20 of a litre?
50
What is 13/8 of a litre in millilitres?
1625
How many centimeters are there in 0.3530845mm?
0.03530845
What is fifty-one halves of a meter in millimeters?
25500
What is 685153.3ng in micrograms?
685.1533
Convert 97441.38l to millilitres.
97441380
What is seven quarters of a litre in millilitres?
1750
Convert 4.787321mg to tonnes.
0.000000004787321
How many years are there in seventeen halves of a century?
850
How many millilitres are there in fourty-two fifths of a litre?
8400
What is 75.764601 milliseconds in hours?
0.0000210457225
What is 53147.87 decades in months?
6377744.4
What is eleven quarters of a tonne in kilograms?
2750
How many kilograms are there in thirteen quarters of a tonne?
3250
What is three tenths of a centimeter in millimeters?
3
How many nanograms are there in five quarters of a microgram?
1250
What is one sixteenth of a meter in micrometers?
62500
What is 4.01745 millilitres in litres?
0.00401745
How many millilitres are there in 37/2 of a litre?
18500
Convert 1.291151 millili
|
{
"pile_set_name": "DM Mathematics"
}
|
/5 (b) -2.3 (c) 395 (d) 2
d
Which is the closest to 0.4? (a) 0.4 (b) -0.1 (c) 0.1 (d) -58032/5 (e) -2
a
Which is the nearest to 1/2? (a) -4 (b) 0.21 (c) 0 (d) -6.26 (e) -49
b
Which is the nearest to -1? (a) 1.5 (b) 12658 (c) -419
a
What is the nearest to -1 in 1/6, 188889, 1/12?
1/12
Which is the nearest to 5? (a) 843 (b) 0.42 (c) -0.1 (d) 5 (e) -1/2 (f) -2/7
d
What is the nearest to 390 in -2, -1/5, -2/553, -0.75?
-2/553
Which is the nearest to -0.01299? (a) 0 (b) 0.31 (c) 386 (d) -1
a
What is the nearest to -0.2207 in -0.1, 0, -0.5, 2/15, 6?
-0.1
Which is the closest to 0? (a) 0 (b) 0.0614214 (c) 1/2
a
Which is the nearest to -29? (a) -3/8 (b) -12 (c) -8 (d) 1 (e) -0.2
b
What is the nearest to 0.06 in -2/17, 673/12, 16?
-2/17
Which is the closest to 2/5? (a) -2 (b) -14613 (c) -0.2
c
Which is the nearest to -0.43? (a) 9 (b) 28 (c) 40
a
Which is the closest to -2? (a) 1/25 (b) 67 (c) -664
a
Which is the closest to 0? (a) -285089/2 (b) -5 (c) 0.2 (d) 4/5
c
What is the closest to 71768 in 1, -3, -1/6, -5, -2.6?
1
What is the closest to -5 in -1802, -7, -388?
-7
What is the closest to -3.257 in -0.13, 2, 0.006, -0.5, 1?
-0.5
What is the nearest to -1/19 in 31, 13.9, 1.1?
1.1
What is the nearest to 36/25 in 7, -2, 596?
-2
Which is the nearest to 1.01? (a) 5 (b) -4 (c) 6 (d) 119 (e) -2 (f) -3
e
What is the closest to -2 in 14, -7627/4, 6?
6
What is the nearest to -45799 in 2/11, -296, 0.3?
-296
What is the nearest to -1/4 in 2/13, 44, 1, -1/8, 0.01571?
-1/8
What is the closest to 0 in 0.1, 0.034, 3, 144/5, -6?
0.034
Which is the nearest to -0.1? (a) -2/7 (b) -5 (c) 106585 (d) 2/25
d
Which is the nearest to 1/7? (a) 0 (b) -37863 (c) -0.48
a
What is the nearest to -0.3 in 97, 0.3, 10, 0.4, -329, -5/3?
0.3
Which is the closest to -0.06? (a) 2/13 (b) -52/11 (c) -5 (d) 22 (e) -2/19
e
Which is the closest to -2/5? (a) -1 (b) -3 (c) -14027885
a
What is the nearest to 950 in -5, -2/65, 1/3, -2/9, 2?
2
What is the closest to -5 in 1, -2/19, -4, -6430, 0.1?
-4
What is the closest to -1 in -9/5, 547, 127?
-9/5
Which is the closest to 2/5? (a) -5/4 (b) 1839 (c) 1391
a
Which is the closest to 2/5? (a) 0.5 (b) 1/31590 (c) -120
a
Which is the nearest to 6/7? (a) -3 (b) -5 (c) 14 (d) 3/4 (e) 2/77
d
What is the nearest to -2 in 4, -14, -0.3, 3/185, 2/3?
-0.3
What is the closest to -0.142 in 5/4, 0.47, -0.1, -0.64?
-0.1
What is the closest to -0.1 in -7, -116748, -4, 7?
-4
Which is the nearest to -1? (a) -26 (b) -155 (c) 0.2 (d) -0.0288
d
What is the nearest to -60 in 19, -5, 0.89, -3/2?
-5
Which is the closest to 12/89? (a) -1 (b) 1.2483 (c) 0.3 (d) -5
c
What is the closest to -130 in -0.06, -0.2, 0.025, -3, 1/5?
-3
Which is the nearest to -2/7? (a) -0.1 (b) -2/3 (c) -1.38426 (d) 1/4
a
What is the closest to 532 in 10, 1627, 0, -0.2, 1/5?
10
What is the nearest to -4 in 0.05244, 3/11, 0.5, 0.05?
0.05
What is the closest to -1 in -3/5, 1, -33459448?
-3/5
Which is the nearest to 154/13? (a) 0.4417 (b) 1 (c) -88
b
Which is the nearest to 0.4? (a) 0 (b) 159058 (c) -0.077 (d) -5
a
Which is the closest to 1? (a) -0.2 (b) 58 (c) 3/7 (d) -4/11 (e) -4/3
c
What is the nearest to -2/3 in 129, -25873, 2?
2
Which is the nearest to 1? (a) 261 (b) -5 (c) 7.18 (d) -2.8
d
Which is the nearest to -50? (a) -0.2 (b) 207568 (c) 1
a
What is the nearest to 5 in 0.03, 0.3, -15, 0.1, -0.07?
0.3
Which is the closest to -2/5? (a) -4 (b) 0 (c) 1.795
b
What is the closest to 2/11 in 3, 418, 4, -13?
3
What is the closest to 0.4 in 1, 150/97, -13, 5?
1
Which is the nearest to 1/3? (a) -3/20 (b) 0.144 (c) 7 (d) -3 (e) 5
b
Which is the nearest to 6261? (a) 5/3 (b) -5 (c) 17 (d) 1
c
What is the closest to -10040 in 0.01, 0.1, 5/2, 2, 2/5?
0.01
Which is the closest to 0? (a) -5 (b) -2/5 (c) 4 (d) -11 (e) -0.07368
e
What is the nearest to -2/5 in -2/7, 50, -2/15, -1, 40501?
-2/7
What is the nearest to -0.2 in 58977, 12/11, 5?
12/11
Which is the closest to -0.3? (a) -25 (b) -2 (c) 0.4 (d) -1/2 (e) -0.67
d
What is the nearest to -0.1 in 1/89, -7.93, -0.6, 0.12?
1/89
What is the closest to -0.1 in -1.11, 0, -1, 266?
0
Which is the closest to 0? (a) 24 (b) -0.65 (c) 0.1 (d) -0.5 (e) -10/33
c
Which is the closest to -1/18? (a) -16 (b) 1258 (c) -5/6
c
Which is the closest to -0.16? (a) -2518 (b) -2/231 (c) -3 (d) -0.4
b
What is the closest to -6 in 2/13, -2/3, -82, -2, 62?
-2
What is the nearest to 1 in -2/599, 1, 2/13, -2?
1
Which is the nearest to 6/5? (a) -10/3 (b) -0.5 (c) -2/15 (d) -352/3
c
Which is the nearest to -2/3? (a) -1/3 (b) 3/4 (c) 0 (d) -2 (e) 26 (f) -72
a
What is the nearest to -2 in 2/11, 3.4, 4678, 1, -0.2, 66?
-0.2
Which is the closest to -0.6? (a) -1/2 (b) 2134 (c) 3/2 (d) -2/3
d
Which is the nearest to -0.1? (a) 3/2 (b) -1/4 (c) 1388 (d) 1/3 (e) -2 (f) 615
b
Which is the closest to 1? (a) -2 (b) -7 (c) -1 (d) 12/82397 (e) 0.7
e
What is the nearest to 22 in 1, -20, -0.12, -0.1?
1
What is the closest to -2 in 1, -1/2658, -2/3, 2, -3/4?
-3/4
Which is the closest to 1? (a) -0.4 (b) -1 (c) -4 (d) -31431 (e) -6 (f) 0.04
f
What is the closest to -1/25 in -0.2, -533, 1/12, -2, -24?
1/12
What is the nearest to 7 in -5, 0.2, -4, 1, 64.3, -223?
1
What is the closest to 7397 in 69, 0.3, -2?
69
Which is the closest to -0.1? (a) -2/85 (b) -4/9 (c) -86 (d) 37 (e) -1/9 (f) -0.1
f
What is the nearest to -2/7 in -0.4, -259/3, 47, -5, 14?
-0.4
What is the nearest to -1/3 in -2, -0.4, -7/227, 0.04, -0.45?
-0.4
What is the nearest to -2 in -0.2, 2654.1, 3/8, 2/3?
-0.2
What is the nearest to 4 in 9/13, -0.003, -0.4, 2/71, 0.06?
9/13
Which is the closest to 0.1? (a) -0.4 (b) 46915 (c) -3 (d) 1/3
d
What is the closest to -0.23 in -5, 0, 41348, -3, -0.1, 2?
-0.1
What is the nearest to 1 in 15, 365/3, -3/4, 6?
-3/4
Which is the closest to 1? (a) 5/84 (b) 5.6539 (c) -4
a
Which is the closest to -2/7? (a) 1 (b) 4 (c) -338 (d) 0.1 (e) -2/5 (f) -3
e
What is the closest to -14.36 in -3, 2/21, 2/3, -2/7, 21?
-3
Which is the closest to 2/3? (a) -30 (b) -1 (c) 2721 (d) -13
b
Which is the closest to 4? (a) 4/19 (b) -2 (c) 3035
a
What is the nearest to -45.11 in -1, 0.2, 0.5?
-1
Which is the nearest to 0.12? (a) 0.6783 (b) -2 (c) 11/5
a
Which is the closest to 2/141? (a) -1/5 (b) -10 (c) 0 (d) 0.5
c
What is the nearest to 0.09 in 0.0289, 2, -1/67, -3?
0.0289
What is the closest to -1/12 in -103.4, -0.1, 2?
-0.1
What is the closest to 441 in 0.1, -1/88, -0.69, 0?
0.1
What is the closest to 3337 in 6, -2/9, 9, 4?
9
Which is the closest to 1/2? (a) 6/31 (b) -5 (c) -1.2 (d) -4536
a
What is the closest to -1363 in 55, 1/2, -0.1, -7?
-7
Which is the nearest to 0.2? (a) 2.1 (b) -194 (c) 0.02
c
Which is the closest to -1? (a) -445 (b) -1/5 (c) 42 (d) -1/2
d
Which is the nearest to -1/5? (a) 1/243 (b) 1/3 (c) 25/452
a
Which is the closest to 67? (a) 0.04 (b) -1/3 (c) 0.5 (d) -2/21 (e) 110
e
What is the nearest to -2 in -6, -20, 3.1, 0, -3?
-3
Which is the nearest to 2/5? (a) -5 (b) 0.3 (c) -2665 (d) 5 (e) 4/9
e
What is the nearest to -1 in -0.06, -39, 9, 0.5, -1/4?
-1/4
What is the closest to -2 in -0.09, 17.21, 38?
-0.09
What is the nearest to 0.014 in 1, -4, 4/45, 27, 4?
4/45
What is the closest to -0.1 in 5, 14308, 0, -0.4, -3?
0
Which is the nearest to -49? (a) 1/5 (b) -16 (c) 745/7 (d) -3/2
b
Which is the nearest to -110? (a) -0.4 (b) 264 (c) 5 (d) -5 (e) 1 (f) 16
d
What is the closest to 0.2 in 0.1, -5, -2, -1053432/7?
0.1
What is the closest to -179181 in -0.4, -6, -5, 0.5?
-6
What is the closest to -227/6 in 9/26, -3, -111?
-3
Which is the closest to -1/10? (a) -0.08 (b) -67 (c) 5 (d) -4 (e) 3.6
a
Which is the closest to 133? (a) 0.5 (b) -528 (c) -4
a
Which is the closest to -0.19? (a) 0.1 (b) 1.16 (c) 193
a
What is the nearest to -1 in 13, -5/4172, -2/3?
-2/3
What is the nearest to 0.1 in -132, 3, 983, 5?
3
Which is the nearest to -0.1? (a) -44 (b) 2/3 (c) -154/3 (d) -4/11 (e) -6/5
d
Which is the nearest to -0.2? (a) -0.2 (b) -3 (c) 4/5999 (d) -2
a
Which is the nearest to -18? (a) -0.2 (b) -15 (c) -0.6 (d) 1092
b
Which is the closest to -878? (a) -1/3 (
|
{
"pile_set_name": "DM Mathematics"
}
|
)/(15/(-70)*2).
2/15
What is the value of ((-174)/44 - -4)*(-2 - 2)?
-2/11
What is the value of ((-624)/(-117))/(10/6 - 1)?
8
6/12*3*4/18
1/3
Evaluate ((-6)/(-21))/((-1)/(21/(-36))).
1/6
Calculate ((-84)/(-126))/((-4)/18).
-3
What is the value of ((-64 - -10)/6)/(-1)?
9
What is ((-6)/(-4) - 4)*(-8)/(-90)?
-2/9
What is the value of (-8)/(-50)*10*(-1)/(-4)?
2/5
Calculate (-14)/(-63) - (-22)/(-18).
-1
Evaluate 2/11 - 13/11.
-1
Evaluate (-2)/18*3*(-8 - -9).
-1/3
0 + -4*7/28
-1
What is the value of -13 + (-78)/(-6) - 2?
-2
What is (-1236)/252 + (-15)/(-3)?
2/21
What is the value of (22/(-88))/(2/8)?
-1
Calculate (-156)/54 + 1/(-9).
-3
Evaluate 2/12 + -57*(-2)/(-36).
-3
What is (6/(-14))/((-54)/(-2 - 7))?
-1/14
What is the value of 48/(-9) + 2 - -2?
-4/3
(-1 + (-96)/(-42) - 5) + 4
2/7
5/6*(-640)/(-400)
4/3
What is the value of 18/15 + -10 + 127/15?
-1/3
Evaluate -1 + 6 + (-40 - -33).
-2
43/387*(-6)/(-4)
1/6
Calculate ((0/4)/(2 + -1))/3.
0
What is 6*((-261)/(-33) + -8)/1?
-6/11
What is the value of 4/(3 - -1)*-2?
-2
What is 75/(-12) - 2/(-16)*2?
-6
Calculate ((-2)/4*3)/((-45)/(-12)).
-2/5
Calculate (-40)/24 - 23/(-12)*1.
1/4
Calculate ((-6)/20)/(7*(-36)/(-672)).
-4/5
(-8)/14 + (-6)/14
-1
What is the value of ((-1184)/28)/8 + 5?
-2/7
What is (-10)/6*2*(-2)/30?
2/9
Calculate ((-15)/20)/1 + 1.
1/4
What is (-5 - 45/(-10))*-12?
6
Calculate 3/(-5)*8/(-12).
2/5
12/(-21)*(-7)/2
2
What is the value of (2 + 3)*4/30?
2/3
(760/836)/((-6)/11*-2)
5/6
What is the value of -3 - -3 - (1 + 4/(-8))?
-1/2
What is the value of (-3)/4 - 1/((-184)/122)?
-2/23
What is 2/2 - (-1)/(-1 + -2)?
2/3
2*(-1 - 3) - -6
-2
Evaluate ((-32)/(-20))/(2/(-5)).
-4
What is 4 + (1 + 1 + 32)/(-9)?
2/9
What is the value of ((-48)/(-36))/(-1 + (-23)/3)?
-2/13
What is the value of (-190)/45 + -6*5/(-135)?
-4
What is (-4)/30 - (-6)/(-90)?
-1/5
What is 81/(-108) + 7/20?
-2/5
What is the value of 5/(-5) + 1 + 5?
5
What is the value of 35/15*4/(-14)?
-2/3
What is -9 + 720/81 + 0?
-1/9
Evaluate 4*(-3)/30 - 34/(-10).
3
What is the value of -5 - -2 - (-19 + 16)?
0
What is the value of 6*(45/(-10))/(-9)?
3
(-9)/2 + 24 + -19
1/2
What is the value of -6 - -10 - 86/14 - -2?
-1/7
What is the value of 45/(-270) - (-2)/4?
1/3
Calculate -1*(5 + 0)/(-5)*-1.
-1
What is ((-2)/(-4))/(8/8)?
1/2
Evaluate (2/(-4))/(50/200).
-2
Calculate (0 + (-6)/4)/(1/2).
-3
What is -1 + (-9)/2*(-32)/176?
-2/11
Evaluate (2/(-15)*3)/((-32)/160).
2
What is (-18)/24 - (-34)/(-8)?
-5
Evaluate 42/(-5) + (-78)/(-195).
-8
What is the value of 99/(-891) + 29/18?
3/2
Evaluate (-1)/(((-7)/(-21))/((-8)/(-6))).
-4
2/6 + (-13)/((-78)/28)
5
(-42)/(-8) + 1 + 35/(-28)
5
What is the value of -3 - (75/(-9) + 20/15)?
4
What is ((-32)/(-24))/((8/3)/(-4))?
-2
-2 + ((-4)/8 - (-22)/(-44))
-3
Evaluate (-7)/((-252)/222) - 6.
1/6
What is (-909)/1377 + 1 - 4/18?
2/17
3/(-7) + 48/84
1/7
What is 3 - (-234)/81*(-6)/8?
5/6
Evaluate 3/(18/(-4)) + 21/(-63).
-1
What is (12 + -9)/((-3)/2)?
-2
Calculate (4 + 19 - 19) + 9/(-2).
-1/2
What is ((-3)/1 + 6)/(-1) - -3?
0
(8/(-35))/((-8)/(-40))
-8/7
What is the value of (-44)/28 - 6/14?
-2
What is (-17 + 13)*2/4?
-2
(-1)/3 + 3/(-9)
-2/3
Calculate 144/24 - 115/20.
1/4
(-1 - (-28)/35) + 18/15
1
38/((-3648)/252) + 3/1
3/8
(3 - 7) + 1/((-1)/(-6))
2
What is -1*8*(-658)/(-752)?
-7
Evaluate 24/144 + ((-31)/6)/1.
-5
(-1715)/2275 + 3/5
-2/13
(-170)/(-100) + (0 - (-3)/(-15))
3/2
Calculate (-104)/(-78) + 2 + -4.
-2/3
Calculate (-2)/(-7)*(-63)/72.
-1/4
Calculate 2/(-8)*((-3)/6)/(-1).
-1/8
Calculate 15/(-24)*(-2)/5.
1/4
What is (54/(-108))/((1/(-3))/1)?
3/2
Calculate 2 + ((-2)/2 - 3).
-2
(-1)/(-5)*(11 + -6)
1
What is the value of (-6)/((-12)/6 + 3)?
-6
Calculate (2 - -1)*((-10)/3 - -2).
-4
Calculate (0 - -4)*((-75)/(-20))/(-5).
-3
What is the value of 54/(-9)*(-2)/(19 - 1)?
2/3
Calculate ((-4)/16)/(1*5/60).
-3
Calculate (-3)/(1*(-3 - -2)).
3
Evaluate 29 + -34 - -1*7.
2
What is 4/9*(-13)/26?
-2/9
Calculate 12/(-24) - 18/(-4).
4
Evaluate -6*(10 + -4)/12.
-3
Calculate (0/((-6)/(-1)))/(-3).
0
Calculate (-4)/18 - ((-532)/(-18))/(-7).
4
4 - (7/3 - (-33)/198)
3/2
What is the value of (-1)/(-5)*(-1380)/(-483)?
4/7
Evaluate (-2*2/12)/(6/(-54)).
3
12/22 - (-1625)/(-4290)
1/6
What is the value of (6/5)/(6/20)?
4
Calculate 58/(-56) - (-3 - (-95)/35).
-3/4
Evaluate (-2 - (-26)/10) + (-374)/(-85).
5
1 - (-7)/(-4) - 9143/(-6244)
5/7
What is 2/15 - (221/(-30) + 6)?
3/2
Evaluate 294/378 + (-2)/(-9).
1
Calculate (6/6)/(-1 + (-4)/(-5)).
-5
What is 36/(-6)*(-4)/42?
4/7
(-320)/(-120)*(-9)/(-6)
4
What is the value of (-41)/(-205)*4/38*5?
2/19
15/(360/(-32))*(-3)/2
2
(-9*(-3)/(-45))/(45/6)
-2/25
0 + (-80)/(-36) + 2/(-9)
2
Evaluate 9 + 9/288*-284.
1/8
What is (-1)/(0 + (-2)/(-4))?
-2
What is the value of 2/(15/(-6 - -1))?
-2/3
What is the value of 1/(-1) - 3/((-3)/5)?
4
Evaluate 4/9 + 276/(-378).
-2/7
Calculate -3*(12/9)/(-2).
2
0/4 + 6 + -2
4
Evaluate (6 - 7)/((-5)/(-15)).
-3
0 + -3*(246/63 - 4)
2/7
What is the value of (-64)/84 - 9/(-21)?
-1/3
What is (-3848)/(-11396) - (0 + (-1)/11)?
3/7
Calculate 54/135 + 16/10.
2
What is 14*(-6 + 176/28)?
4
1 - (3/(-4) - -3 - 2)
3/4
What is the value of 57/(-760) + 1/5?
1/8
Calculate (2 - 1*-2)/(412/515).
5
What is the value of 4/35 - 2/5?
-2/7
592/40 - 14 - 4/(-10)
6/5
Calculate (4/20)/(0 - (-5)/(-15)).
-3/5
What is the value of ((-4 - 1)/20)/((-2)/(-6))?
-3/4
Calculate 0 + -3 - 28/(-5) - 3.
-2/5
Evaluate 48/(-56) + (-48)/(-7).
6
Evaluate (-2)/4*10/20.
-1/4
What is -4*3/(-4) + 21/(-3)?
-4
What is the value of (-42)/(-28)*4/27?
2/9
(-1*(7 + -5))/5
-2/5
(-150)/(-264) - (-9)/(-12)
-2/11
Evaluate (-3)/(-12) + 75/20.
4
What is the value of (4 - 5)/((54/(-48))/9)?
8
Evaluate (-19)/((-133)/(-42)) - (-6 + -11).
11
What is -3*-1*(-2)/(-6)?
1
What is (9/(-24))/(6/(-4))?
1/4
1/(-3)*(-108)/(-60)
-3/5
What is (-6)/(-10)*(-235)/188?
-3/4
-9 + 30/6 + 3 + 0
-1
What is 3/3 - (-14)/(-16)?
1/8
Evaluate 9*1*(-4 + 520/132).
-6/11
What is the value of 14*(3 + -7 + 3) - -5?
-9
Calculate -6 + (6/5)/(36/120).
-2
What is the value of (-10 + 15 + -6)*-4?
4
What is (6/6)/((-5)/25)?
-5
What is the value of 1 + 1/4 + 6/(-8)?
1/2
Calculate (0 + -1)/((-6)/(-30)).
-5
What is ((-3)/((-126)/(-4)))/(2/6)?
-2/7
Calculate (-22)/44 - 22/4.
-6
Evaluate (-236)/168 + 2/(-21).
-3/2
What is the value of (-64)/(-10) + (39/15 - 3)?
6
What is the value of (-3 - (-352)/60) + -3?
-2/15
What is the value of (312/130)/((-6)/20)?
-8
Calculate 277 + -287 - (-2)/2.
-9
Evaluate (114/95)/((-42)/(-15) + -3).
-6
((-12)/28)/3 - (-57)/(-42)
-3/2
What is the value of 2 - ((-117)/9 - -12)?
3
Evaluate -6 - (172/(-60) + -1*3).
-2/15
What is the value of 6*(-1)/(-6)*(-3 - -3)?
0
(9/108*-8)/(2 - 0)
-1/3
96/(-54) - 3/(-54)*-4
-2
Calculate (608/(-95))/(-3 + 2) + -6.
2/5
9/(-72)*(-16)/6*-6
-2
Evaluate (-1)/2*(-20)/35.
2/7
What is (2/(-6))/(4/60)?
-5
Evaluate (2 + 3 + 69/(-12))*-4.
3
What is (6 + -3 - 8) + 5?
0
Calculate -2 - (9/6)/((-12)/20).
1/2
What is the value of -1*(-5)/(-35)*7*1?
-1
What is the value of (-6)/(-28)*(-12)/(792/(-77))?
1/4
What is 135/(-50) + 32/160?
-5/2
What is 1 + ((-4)/5 - (-48)/(-15))?
-3
What is the value of 21/(-2)*94/(-141)?
7
What is the value of 15/35 + (8/4 - 2)?
3/7
What is the value of 3*-2 - (-2400)/390?
2/13
(-10)/(-4)*2/(-1)
-5
What is the value of 1/(-4 + -5 + 19)?
1/10
Evaluate 20/25*(-20)/8.
-2
What is the value of 15/35*10/15?
2/7
Calculate (-1)/(-2) + (-11)/6.
-4/3
What is the value of (5 + (-4)/((-168)/(-213)))*4?
-2/7
What is (4 + 36/(-8) + 2)/3?
1/2
Calculate (720/(-192))/(10/(-4)).
3/2
437/380 + 10/(-8)
-1/10
14/(-7) + 1 + 0
-1
Evaluate 1/(13/12 + (-8)/6).
-4
6/(((-18)/7)/((-24)/42))
4/3
What is 68/(-273) + 14/147?
-2/13
Evaluate -1 + 2 + -1 + 6/63.
2/21
(-2)/5 - 143/55
-3
Calculate ((-14)/3*(-18)/12)/1.
7
What is (-3 + (2 - 1))/(2618/187)?
-1/7
Calculate 7 + 268/36*-1.
-4/9
-19 - 2/6*-27
-10
Calculate ((-45)/(-25) - -4) + -6.
-1/5
Calculate (3/(-7))/(4290/(-1820)).
2/11
What is (-13)/(-20) + (-10)/25?
1/4
Calculate 0/(-1 + 1 + 1 - 3).
0
Calculate ((-252)/10)/(-3) - (-237)/395.
9
What is the value of (6/5)/((-24)/(-30))*-1?
-3/2
Calculate ((1 - -5)/(7 + 3))/(-1).
-3/5
What is 3*(-11)/(99/6)*-1?
2
What is (-6)/(-60)*(-11 + 5)?
-3/5
Calculate (20/(-4) - -5) + -1.
-1
What is 20/10 - (0 + 6 + -1)?
-3
Evaluate (-3015)/108 + 22 + 1/(-12).
-6
Calcu
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 + 5*r**2 + r + 1. Let n(c) = 42*c**2 - 14*c - 2. Give 2*l(s) + n(s).
2*s**3 + 52*s**2 - 12*s
Let a(w) = -w. Suppose 5*l - 6 = -d - 1, d = 2*l + 5. Suppose -2*k - 4*t + 6 = l, -6*t + 5*t = 3*k - 14. Let g(y) = -2*y. Give k*a(p) - 3*g(p).
p
Let i(g) = -5*g**2 - 13*g + 6. Let u(h) = 5*h**2 + 16*h - 7. Calculate -6*i(c) - 5*u(c).
5*c**2 - 2*c - 1
Let y(u) = -19*u**2 + 115*u - 16. Let d(t) = 18*t**2 - t - 1. Calculate -d(s) - y(s).
s**2 - 114*s + 17
Let v(a) be the third derivative of -11*a**6/24 + 11*a**5/10 + 11*a**4/4 + 11*a**3 + 168*a**2 - 2*a. Let j(y) = -y**3 + y**2 + y + 1. Determine -66*j(d) + v(d).
11*d**3
Let o(f) = 45*f**2 + 40*f. Let v(k) = k**2 + k. Suppose 5*c - 5*x + 580 = 0, -96*c - 2*x - 608 = -91*c. Determine c*v(l) + 3*o(l).
15*l**2
Let t(u) = 17732372*u**3 - 46130*u**2 - 23065*u - 23065. Let b(p) = -4613*p**3 + 12*p**2 + 6*p + 6. What is 23065*b(q) + 6*t(q)?
-4613*q**3
Let c(f) = -f**3. Let b(h) be the second derivative of -h**5/20 + h**4/12 + 1148*h. Calculate 2*b(t) + 6*c(t).
-8*t**3 + 2*t**2
Suppose 0 = -86*w - 17*w - 103. Let l(m) = 3*m - 4. Suppose 4 = -s - 0. Let t(f) = -f. Calculate s*t(h) + w*l(h).
h + 4
Let q(m) = -8*m**3 + 22*m**2 - 3317*m + 5. Let i(x) = 3*x**3 - 8*x**2 + 1107*x - 2. What is -11*i(g) - 4*q(g)?
-g**3 + 1091*g + 2
Let y(k) = 1300*k + 165. Let x(c) = -c - 3. Determine -165*x(z) - 3*y(z).
-3735*z
Let h(a) = 10*a - 3. Let p(u) = -2*u + 1. Let z(j) = -2*h(j) - 9*p(j). Let c(x) = -5*x - 9. Let n = 19 + -8. Determine n*z(v) - 4*c(v).
-2*v + 3
Let v = -3635 - -3636. Let g(t) = -t + 1. Let h(q) = 29*q - 5. Give v*h(f) + 6*g(f).
23*f + 1
Let a(p) = -6*p + 1. Let u(k) = 36*k + 340. What is 3*a(g) + u(g)?
18*g + 343
Let g(s) = -6*s - 7. Let p(h) = -5*h - 8. Let q be -223 + 250 - (0 - -21). Give q*g(v) - 7*p(v).
-v + 14
Let y(u) = u**2 + 6. Let g(k) = 8*k**2 - 8282*k + 60. Calculate g(f) - 10*y(f).
-2*f**2 - 8282*f
Let z(l) = 5*l**2 - 7. Let r = 2393 - 2400. Let a(u) = 1 - 3*u**2 - 1 + 5. Determine r*a(q) - 5*z(q).
-4*q**2
Let s(m) = -10*m**2 + 8. Suppose 5*u = -u - 372. Let q = 64 + u. Let g(z) = -z**2 + 21*z**q - 15 - z**2. What is -6*g(a) - 11*s(a)?
-4*a**2 + 2
Let v(b) be the third derivative of -b**6/120 - b**5/60 + b**4/24 + 53*b**2 + 2. Let y(l) = l**3 - 2*l**2 + 3*l - 1. Determine -6*v(n) + 2*y(n).
8*n**3 + 2*n**2 - 2
Let x(p) = -19*p**2 - 3*p + 5*p - 14*p**3 - 2 + 0 - 21*p**2 + 43*p**2. Let v(n) = -15*n**3 + 4*n**2 + 3*n - 3. Calculate 2*v(a) - 3*x(a).
12*a**3 - a**2
Let t = 165354 + -165353. Let o(v) = -3*v**2 + 2*v + 8. Let q(d) = d - 1. Let c(a) = a**2 - 4*a + 2. Let i(g) = -c(g) - 3*q(g). What is t*o(n) - 4*i(n)?
n**2 - 2*n + 4
Let h(m) be the first derivative of -m + 2. Suppose -x - 2*x = 3. Suppose -1217277 = -6*r - 1217271. Let b(k) = 2*k - 2. Give r*b(d) + x*h(d).
2*d - 1
Let u(n) = 69*n - 11. Let r(j) = 23*j - 4. Let s = -5855 - -5859. Give s*u(c) - 11*r(c).
23*c
Let d(h) = 2*h**3 + 3*h**2 + 6*h + 2. Let u(t) = 9*t**3 + 115284*t - 115259*t + 9 + 0*t**2 + 13*t**2. Give -26*d(o) + 6*u(o).
2*o**3 - 6*o + 2
Let x(p) = -1189*p**3 - 8*p**2 + 8*p. Let i(o) = -526726*o**3 - 3543*o**2 + 3543*o. Calculate 8*i(y) - 3543*x(y).
-1181*y**3
Let n(p) = 2406*p**3 - 8*p**2 + 11*p + 8. Let v(h) = -801*h**3 + 3*h**2 - 4*h - 3. Determine -3*n(a) - 8*v(a).
-810*a**3 - a
Let g(o) = -4*o**2 + 5*o - 22. Let l(u) = 9*u**2 - 13*u + 42. What is -14*g(q) - 6*l(q)?
2*q**2 + 8*q + 56
Let l(a) = 2124*a + 26. Let v(p) = 4244*p + 56. Calculate -13*l(u) + 6*v(u).
-2148*u - 2
Let i(v) = 20*v**3 - 120*v**2 - 22*v - 29. Let p(g) = -11*g**3 + 62*g**2 + 12*g + 15. Calculate -6*i(y) - 11*p(y).
y**3 + 38*y**2 + 9
Let o(t) = t**3 - 9*t**2 - 71*t + 17. Let q be o(14). Let z(f) = -f**2 - f - 1. Let l(y) = 5*y**2 + 6*y + 2. Determine q*z(s) + l(s).
2*s**2 + 3*s - 1
Let k(c) = 233*c + 3. Let p(b) = -33*b + 1. Give 2*k(z) + 14*p(z).
4*z + 20
Let n(c) = -11*c**2 - 442*c - 6. Let t(g) = 15*g**2 + 589*g + 8. Determine 9*n(p) + 7*t(p).
6*p**2 + 145*p + 2
Let o(d) = -785*d**3 + 9*d**2. Let q(l) = 1177*l**3 - 15*l**2. Give -8*o(c) - 5*q(c).
395*c**3 + 3*c**2
Let x(a) = 402*a**3 + a**2 - 2*a - 3. Let i(g) = -4822*g**3 - 11*g**2 + 24*g + 38. Give 2*i(z) + 25*x(z).
406*z**3 + 3*z**2 - 2*z + 1
Let l(o) = -o**2 - 3*o - 3. Let t(u) be the third derivative of u**5/20 + u**4/3 + 3*u**3/2 + 975*u**2. Determine -8*l(d) - 3*t(d).
-d**2 - 3
Let h(b) = -1. Let m(u) = -2*u + 2. Let c(p) = -p**2 + 2*p + 39. Let a be c(7). Suppose 3*g + 3 = 0, -v + 6 = -6*v + a*g. Calculate v*h(o) - m(o).
2*o
Suppose -5*h = 20, -166 = -q + 5*h - 148. Let r be (-18)/8 - (-2)/8. Let s be r*3/(-1 + 7). Let t(b) = b - 2. Let m(n) = n + 1. Determine q*m(y) + s*t(y).
-3*y
Let z(k) be the third derivative of -k**4/2 - 2*k**2. Suppose 2*r + 0 + 10 = 0. Let q(c) = 0 - 5 + 15 + 14*c + 28*c - 10. Determine r*q(h) - 18*z(h).
6*h
Let v(x) = -10*x**3 + 14*x**2 - 12*x - 12. Let n(l) = 1 - 423*l + 860*l - 436*l - l**2. Give -12*n(b) - v(b).
10*b**3 - 2*b**2
Let l(v) = -7693*v + 686. Let k(m) = 45*m - 4. Determine -343*k(z) - 2*l(z).
-49*z
Let n be (-16)/4 - -1 - -9. Let f(b) = -9*b - 7. Let u(r) be the second derivative of 5*r**3/3 + 4*r**2 + 4*r - 48. Give n*f(p) + 5*u(p).
-4*p - 2
Let u(t) = -141*t**3 + 50*t**2 + 4*t. Let a(s) = -283*s**3 + 90*s**2 + 7*s. Calculate -5*a(o) + 9*u(o).
146*o**3 + o
Let f(b) = 5*b + 75 + 82 - 116. Let d(j) = j + 10. Determine 9*d(c) - 2*f(c).
-c + 8
Let w(y) = 9*y**3 + 24*y**2 + 7*y + 8. Let q(n) = 2*n**3 + 4*n**2 - n + 2. Let i(k) = 6*q(k) - w(k). Let o(f) = 2*f**3 - 6*f + 2. Calculate 3*i(g) - 5*o(g).
-g**3 - 9*g + 2
Let y(m) = -929*m**2 - 2*m + 8. Let q(d) = 1857*d**2 + 5*d - 18. Calculate 4*q(p) + 9*y(p).
-933*p**2 + 2*p
Let i(c) = 7*c**2 + c + 5. Let l(p) be the second derivative of 3/2*p**2 + 1/6*p**3 + 0 + 1/3*p**4 - 105*p. Determine 3*i(u) - 5*l(u).
u**2 - 2*u
Let f(u) = -2*u**3 - 3*u**2 - 13*u + 3. Let r(s) = -s**3 - s**2 - s + 1. Let j = 8774 + -8777. Determine j*r(p) + f(p).
p**3 - 10*p
Let a(f) = -685*f**3 + 4*f**2 + 2*f + 3. Let b(z) = 3426*z**3 - 21*z**2 - 11*z - 15. Give 11*a(d) + 2*b(d).
-683*d**3 + 2*d**2 + 3
Let q(c) = -14. Let s = -11691 - -11686. Let g(x) = x + 27. Determine s*q(j) - 3*g(j).
-3*j - 11
Let z(g) = g**2. Let u be (-3 - 10/(-4))*-2 - -2. Suppose -y + u*y = -22. Let a = -12 - y. Let r(d) = -21*d**2. Give a*r(h) - 18*z(h).
3*h**2
Let l(k) = -8*k**2 + 7*k + 5. Let w be l(-1). Let t be 4/w*(-285)/19. Let o(f) = 9*f + 6. Let v(u) = -17*u - 11. Give t*v(n) + 11*o(n).
-3*n
Let l(p) = 1774696*p + 15824. Let u(m) = -673*m - 6. What is -6*l(i) - 15824*u(i)?
1376*i
Let r(z) = -3*z**2 + 12*z - 46. Let c(h) = 3*h**2 - 13*h + 40. Give 7*c(n) + 6*r(n).
3*n**2 - 19*n + 4
Let g(v) = 3*v**3 - 7*v**2 + 8*v. Let t(h) = 34*h**3 - 88*h**2 + 94*h. Calculate -25*g(o) + 2*t(o).
-7*o**3 - o**2 - 12*o
Let l(o) = -7*o**2 - 2*o + 8. Let b(j) = 5*j**2 + 4*j - 8. Calculate -3*b(m) - 2*l(m).
-m**2 - 8*m + 8
Let q(h) = -50*h**3 + 3*h**2 - 76*h - 7. Let t(l) = -51*l**3 + 4*l**2 - 91*l - 8. Determine -6*q(r) + 5*t(r).
45*r**3 + 2*r**2 + r + 2
Let u(f) = 3*f + 1 - 2*f + 2. Let r be u(0). Let b(c) = -c - 5. Let a(k) be the second derivative of k**3/6 + 3*k**2 + k + 633. Calculate r*a(o) + 4*b(o).
-o - 2
Let x(w) = 198*w**3 + 14*w**2 - 30*w + 2. Let j(v) = -200*v**3 - 9*v**2 + 30*v - 1. Calculate -3*j(p) - 2*x(p).
204*p**3 - p**2 - 30*p - 1
Let y(f) = -10*f + 0*f - 1 + 9*f. Let x(c) = 4*c + 3. Let p be 50*(-12)/552 + (84/(-92) - -1). Calculate p*x(s) - 6*y(s).
2*s + 3
Let l(b) = 104*b**2 + 11*b + 5. Let v(u) = -17*u**2 - u. Calculate -l(h) - 6*v(h).
-2*h**2 - 5*h - 5
Let f(s) = -5*s - 6 - 5 - 7 + 17. Let p(g) be the second derivative of -3*g**3/2 - g**2/2 + 48*g. Calculate -11*f(b) + 6*p(b).
b + 5
Let x(i) = -9*i**3 - 5*i**2. Let y be 150/45*6/4. Let l(t) = -y*t**2 + 2*t**3 - t**2 + 8*t**2 + t**2 + 3*t**3. Give 5*l(g) + 3*x(g).
-2*g**3
Let x(q) = 2 - 6*q + 5*q + 0*q. Let t = -102 + 104. Suppose 0 = 3*p - b - 11 - 49, 0 = -t*p + b + 39. Let j(m) = -3*m + 7. Calculate p*x(z) - 6*j(z).
-3*z
Let h(k) = 27*k + 29. Let c(a) = a - 10. Calculate -3*c(p) - h(p).
-30*p + 1
Let z(w) = -10*w - 2. Let m be (0 - 4) + 1*(-2)/(-1). Let u(c) be the second derivative of -5*c**3 - 7*c**2/2 + 102*c + 1. Determine m*u(l) + 7*z(l).
-10*l
Let l(x) = 15*x**3 + 15*x**2 + 39*x. Let v(c) =
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the remainder when 112868 is divided by 24?
20
Calculate the remainder when 83444 is divided by 843.
830
What is the remainder when 1363498 is divided by 674?
670
Calculate the remainder when 216130 is divided by 72020.
70
Calculate the remainder when 5883 is divided by 56.
3
What is the remainder when 160 is divided by 46?
22
Calculate the remainder when 62582 is divided by 652.
642
What is the remainder when 1200 is divided by 432?
336
What is the remainder when 17593 is divided by 1939?
142
Calculate the remainder when 978922 is divided by 347.
35
What is the remainder when 42404 is divided by 1112?
148
Calculate the remainder when 44077 is divided by 14675.
52
What is the remainder when 201511 is divided by 25?
11
Calculate the remainder when 2951 is divided by 34.
27
What is the remainder when 31007 is divided by 7750?
7
What is the remainder when 5853 is divided by 54?
21
Calculate the remainder when 6956 is divided by 1193.
991
Calculate the remainder when 331269 is divided by 337.
335
Calculate the remainder when 3443 is divided by 933.
644
Calculate the remainder when 53400 is divided by 204.
156
What is the remainder when 11926 is divided by 3784?
574
Calculate the remainder when 28024 is divided by 59.
58
Calculate the remainder when 146359 is divided by 8.
7
What is the remainder when 47452 is divided by 1233?
598
Calculate the remainder when 227 is divided by 15.
2
Calculate the remainder when 1498 is divided by 499.
1
Calculate the remainder when 7989 is divided by 726.
3
What is the remainder when 2324 is divided by 75?
74
What is the remainder when 258656 is divided by 19892?
60
Calculate the remainder when 2553 is divided by 170.
3
What is the remainder when 3119 is divided by 1788?
1331
Calculate the remainder when 4753 is divided by 281.
257
What is the remainder when 566 is divided by 280?
6
Calculate the remainder when 429 is divided by 398.
31
What is the remainder when 64946 is divided by 9271?
49
Calculate the remainder when 43279 is divided by 72.
7
Calculate the remainder when 27296 is divided by 13643.
10
Calculate the remainder when 169839 is divided by 86.
75
What is the remainder when 1055463 is divided by 176?
167
What is the remainder when 4671 is divided by 353?
82
Calculate the remainder when 1040 is divided by 233.
108
What is the remainder when 105234 is divided by 35?
24
What is the remainder when 30702 is divided by 62?
12
What is the remainder when 6743 is divided by 1109?
89
What is the remainder when 8581 is divided by 2361?
1498
Calculate the remainder when 544752 is divided by 4696.
16
Calculate the remainder when 12988 is divided by 183.
178
What is the remainder when 5152 is divided by 1993?
1166
Calculate the remainder when 111820 is divided by 148.
80
Calculate the remainder when 123022 is divided by 466.
464
What is the remainder when 8345 is divided by 1773?
1253
What is the remainder when 7956 is divided by 42?
18
What is the remainder when 865979 is divided by 849?
848
Calculate the remainder when 287507 is divided by 194.
193
What is the remainder when 781430 is divided by 139?
111
What is the remainder when 1394931 is divided by 4?
3
What is the remainder when 21630 is divided by 21621?
9
Calculate the remainder when 1393 is divided by 856.
537
What is the remainder when 210900 is divided by 105444?
12
Calculate the remainder when 1734 is divided by 854.
26
Calculate the remainder when 615885 is divided by 16.
13
What is the remainder when 14142 is divided by 272?
270
Calculate the remainder when 13172 is divided by 12.
8
Calculate the remainder when 5214 is divided by 2029.
1156
What is the remainder when 317543 is divided by 42?
23
Calculate the remainder when 4110 is divided by 1689.
732
Calculate the remainder when 40973 is divided by 13421.
710
Calculate the remainder when 32347 is divided by 5390.
7
What is the remainder when 292032 is divided by 649?
631
What is the remainder when 64720 is divided by 9245?
5
Calculate the remainder when 1916 is divided by 388.
364
Calculate the remainder when 48680 is divided by 123.
95
Calculate the remainder when 5235 is divided by 4598.
637
Calculate the remainder when 91976 is divided by 44.
16
Calculate the remainder when 4232 is divided by 1119.
875
What is the remainder when 822 is divided by 210?
192
Calculate the remainder when 49033 is divided by 15.
13
What is the remainder when 94831 is divided by 1042?
9
Calculate the remainder when 30906 is divided by 10302.
0
What is the remainder when 47422 is divided by 398?
60
Calculate the remainder when 52772 is divided by 840.
692
Calculate the remainder when 6429 is divided by 209.
159
Calculate the remainder when 22702 is divided by 398.
16
Calculate the remainder when 33542 is divided by 16766.
10
Calculate the remainder when 10792 is divided by 680.
592
Calculate the remainder when 7582 is divided by 111.
34
Calculate the remainder when 2452 is divided by 430.
302
What is the remainder when 36084 is divided by 347?
343
What is the remainder when 3436 is divided by 1703?
30
Calculate the remainder when 12934 is divided by 21.
19
What is the remainder when 81297 is divided by 100?
97
What is the remainder when 26181 is divided by 194?
185
Calculate the remainder when 55394 is divided by 486.
476
What is the remainder when 158125 is divided by 48?
13
What is the remainder when 42202 is divided by 18?
10
Calculate the remainder when 10115 is divided by 121.
72
Calculate the remainder when 528314 is divided by 1964.
1962
Calculate the remainder when 65828 is divided by 65825.
3
What is the remainder when 36968 is divided by 5278?
22
What is the remainder when 56691 is divided by 603?
9
Calculate the remainder when 2081 is divided by 558.
407
Calculate the remainder when 1183 is divided by 372.
67
What is the remainder when 5370691 is divided by 12?
7
What is the remainder when 18436 is divided by 129?
118
What is the remainder when 546678 is divided by 447?
444
Calculate the remainder when 73613 is divided by 48.
29
Calculate the remainder when 4888 is divided by 176.
136
Calculate the remainder when 44747 is divided by 91.
66
Calculate the remainder when 4304 is divided by 309.
287
Calculate the remainder when 23147 is divided by 162.
143
Calculate the remainder when 16539 is divided by 126.
33
What is the remainder when 28780 is divided by 7185?
40
What is the remainder when 9070 is divided by 36?
34
What is the remainder when 10151 is divided by 10151?
0
What is the remainder when 1079 is divided by 1066?
13
What is the remainder when 62687 is divided by 139?
137
Calculate the remainder when 109655 is divided by 352.
183
Calculate the remainder when 33146 is divided by 25.
21
What is the remainder when 172128 is divided by 317?
314
Calculate the remainder when 4316 is divided by 1434.
14
What is the remainder when 13765 is divided by 314?
263
What is the remainder when 62699 is divided by 196?
175
What is the remainder when 25586 is divided by 12786?
14
Calculate the remainder when 83378 is divided by 1389.
38
Calculate the remainder when 23445 is divided by 720.
405
Calculate the remainder when 4993 is divided by 85.
63
Calculate the remainder when 8126 is divided by 810.
26
What is the remainder when 5294 is divided by 30?
14
What is the remainder when 3592592 is divided by 153?
152
What is the remainder when 669739 is divided by 257?
254
Calculate the remainder when 59043 is divided by 22.
17
Calculate the remainder when 11614 is divided by 399.
43
What is the remainder when 1004 is divided by 165?
14
Calculate the remainder when 20724 is divided by 49.
46
What is the remainder when 209799 is divided by 50?
49
Calculate the remainder when 211858 is divided by 90.
88
Calculate the remainder when 1893826 is divided by 89.
84
Calculate the remainder when 90739 is divided by 349.
348
What is the remainder when 26303 is divided by 79?
75
Calculate the remainder when 20250 is divided by 28.
6
Calculate the remainder when 172753 is divided by 250.
3
Calculate the remainder when 93324 is divided by 791.
777
What is the remainder when 17303 is divided by 56?
55
Calculate the remainder when 54554 is divided by 925.
904
What is the remainder when 5357972 is divided by 175?
172
Calculate the
|
{
"pile_set_name": "DM Mathematics"
}
|
rob of sequence nkkn when four letters picked without replacement from kkknnnknnknnn?
28/429
Calculate prob of sequence wb when two letters picked without replacement from {a: 3, c: 2, j: 1, w: 2, b: 6}.
6/91
What is prob of sequence aa when two letters picked without replacement from {a: 6}?
1
What is prob of sequence uu when two letters picked without replacement from {o: 1, x: 4, l: 1, u: 2}?
1/28
What is prob of sequence efv when three letters picked without replacement from {b: 1, e: 1, v: 1, f: 1, s: 5, c: 4}?
1/1716
Three letters picked without replacement from iiiiitiiiiiiiiiiiti. Give prob of sequence iti.
16/171
What is prob of sequence tdtt when four letters picked without replacement from {d: 6, t: 13}?
143/1292
What is prob of sequence nd when two letters picked without replacement from {l: 4, c: 2, e: 1, d: 2, g: 2, n: 1}?
1/66
Two letters picked without replacement from phu. What is prob of sequence up?
1/6
What is prob of sequence gk when two letters picked without replacement from {g: 1, q: 3, f: 2, k: 1}?
1/42
Three letters picked without replacement from {l: 3, g: 3, i: 4, x: 2, e: 7}. What is prob of sequence gxg?
2/969
Two letters picked without replacement from {g: 2, v: 9}. Give prob of sequence gg.
1/55
Calculate prob of sequence zz when two letters picked without replacement from {z: 2, m: 3, d: 4, i: 2, j: 2, h: 1}.
1/91
Three letters picked without replacement from {a: 1, j: 5, z: 2, s: 4, n: 2}. What is prob of sequence zza?
1/1092
Three letters picked without replacement from bgeeecgggeg. What is prob of sequence cgg?
2/99
Two letters picked without replacement from {u: 3, y: 1, r: 2, d: 1}. What is prob of sequence rd?
1/21
Four letters picked without replacement from iwaawiawiwwaw. What is prob of sequence iwia?
6/715
What is prob of sequence lll when three letters picked without replacement from {m: 11, l: 5}?
1/56
Calculate prob of sequence ozzo when four letters picked without replacement from {z: 4, o: 3}.
3/35
What is prob of sequence cnc when three letters picked without replacement from {p: 1, n: 1, c: 14}?
13/240
Calculate prob of sequence dsdi when four letters picked without replacement from psdsssddsssfisvifs.
1/680
Calculate prob of sequence tt when two letters picked without replacement from tttttxtxtt.
28/45
What is prob of sequence djd when three letters picked without replacement from ddjdjddjddjddjjddd?
11/68
Two letters picked without replacement from pjpkiklijpjppjkcjpik. What is prob of sequence jk?
1/19
Two letters picked without replacement from {z: 1, l: 1, c: 1}. Give prob of sequence lc.
1/6
What is prob of sequence xnru when four letters picked without replacement from {r: 1, x: 1, h: 1, u: 1, n: 1}?
1/120
What is prob of sequence qq when two letters picked without replacement from bqqbbbqbbbbqbb?
6/91
Four letters picked without replacement from {c: 7, t: 4, e: 6}. Give prob of sequence etce.
1/68
What is prob of sequence pu when two letters picked without replacement from xpupxpufuuxztxupfxp?
25/342
Calculate prob of sequence rr when two letters picked without replacement from {u: 5, e: 4, i: 4, r: 2}.
1/105
What is prob of sequence it when two letters picked without replacement from trtwii?
2/15
Two letters picked without replacement from fxwnfdfxiwdw. Give prob of sequence ww.
1/22
What is prob of sequence hsh when three letters picked without replacement from shhhhhshhhh?
8/55
Four letters picked without replacement from cqccaaca. What is prob of sequence caqc?
3/140
What is prob of sequence efk when three letters picked without replacement from {k: 2, y: 2, e: 4, l: 1, f: 3}?
1/55
Two letters picked without replacement from ddcco. Give prob of sequence dc.
1/5
Four letters picked without replacement from {c: 9}. What is prob of sequence cccc?
1
Four letters picked without replacement from {a: 2, b: 5, i: 4, o: 4}. What is prob of sequence iibb?
2/273
Two letters picked without replacement from qovoovvvqvoqvqvv. What is prob of sequence qq?
1/20
Calculate prob of sequence mq when two letters picked without replacement from qhm.
1/6
Two letters picked without replacement from ddjhdddjh. What is prob of sequence jd?
5/36
Two letters picked without replacement from {z: 5, p: 4, a: 1, o: 3, c: 1}. What is prob of sequence oz?
15/182
Three letters picked without replacement from {g: 2, v: 4, z: 4}. What is prob of sequence gvv?
1/30
Two letters picked without replacement from viihhd. Give prob of sequence ii.
1/15
What is prob of sequence ww when two letters picked without replacement from {w: 2, f: 2}?
1/6
What is prob of sequence tf when two letters picked without replacement from flffltoftfof?
1/11
Two letters picked without replacement from {z: 4, b: 2, m: 1, w: 7}. Give prob of sequence mb.
1/91
Three letters picked without replacement from rnomk. Give prob of sequence mrn.
1/60
Four letters picked without replacement from ycysccyccjycccyy. What is prob of sequence cscc?
1/130
Calculate prob of sequence bvtt when four letters picked without replacement from zytttbzvt.
1/252
Calculate prob of sequence lcl when three letters picked without replacement from cnlncccnlyn.
4/495
Four letters picked without replacement from qoqoioq. Give prob of sequence ioiq.
0
Three letters picked without replacement from {t: 18, m: 2}. What is prob of sequence ttm?
17/190
What is prob of sequence ho when two letters picked without replacement from {e: 4, f: 1, o: 2, h: 1}?
1/28
Three letters picked without replacement from {h: 4, i: 2, o: 2, g: 2}. What is prob of sequence oog?
1/180
What is prob of sequence qsel when four letters picked without replacement from {e: 1, s: 1, l: 3, j: 2, q: 2, m: 6}?
1/5460
What is prob of sequence qqrr when four letters picked without replacement from rqqrrrrqqq?
5/63
Three letters picked without replacement from {x: 4, m: 1, t: 2, i: 3}. What is prob of sequence xtm?
1/90
Calculate prob of sequence vvbt when four letters picked without replacement from btvtbttbtbbtbtvtvvbb.
32/4845
What is prob of sequence ff when two letters picked without replacement from {f: 16, i: 2}?
40/51
Two letters picked without replacement from {a: 3, f: 1, b: 1, r: 2, s: 11}. What is prob of sequence ba?
1/102
What is prob of sequence yee when three letters picked without replacement from leely?
1/30
Calculate prob of sequence nghn when four letters picked without replacement from nnnhnnnnnngggnn.
11/1092
Calculate prob of sequence acy when three letters picked without replacement from cyeyyayceyesyse.
2/455
Three letters picked without replacement from {l: 1, f: 1, g: 6, y: 1}. Give prob of sequence fgy.
1/84
Four letters picked without replacement from idiiiiiiiizidiiii. What is prob of sequence ddiz?
1/2040
What is prob of sequence lil when three letters picked without replacement from {l: 2, i: 2}?
1/6
What is prob of sequence qww when three letters picked without replacement from {n: 2, q: 8, w: 2, c: 1, k: 2}?
8/1365
Four letters picked without replacement from {d: 4, v: 3, s: 5}. Give prob of sequence vvdv.
1/495
What is prob of sequence cszc when four letters picked without replacement from {z: 1, p: 2, m: 1, x: 2, s: 1, c: 2}?
1/1512
Two letters picked without replacement from xhlllllxhxhxxhrx. What is prob of sequence rx?
1/40
Four letters picked without replacement from tttttotoot. What is prob of sequence ooot?
1/120
Three letters picked without replacement from {z: 1, v: 2, i: 1, e: 2, c: 1, d: 1}. Give prob of sequence dzi.
1/336
Three letters picked without replacement from {b: 6}. What is prob of sequence bbb?
1
Four letters picked without replacement from nxxttxxxt. What is prob of sequence ttxt?
5/504
Calculate prob of sequence kpk when three letters picked without replacement from {x: 11, p: 4, k: 4}.
8/969
Calculate prob of sequence nss when three letters picked without replacement from {r: 2, n: 3, s: 7, f: 7}.
7/323
Calculate prob of sequence vw when two letters picked without replacement from hwjvjvjjjjvjvv.
5/182
Two letters picked without replacement from {g: 3, o: 3, t: 2}. Give prob of sequence og.
9/56
Four letters picked without replacement from qygyqqqyyyqyyyqqyyqy. What is prob of sequence yygq?
22/2907
Two letters picked without replacement from ooosujaxx
|
{
"pile_set_name": "DM Mathematics"
}
|
ed without replacement from {k: 2, z: 4, u: 1, v: 3, t: 1}.
1/55
Four letters picked without replacement from {y: 5, z: 4, c: 3, o: 1}. Give prob of picking 2 c and 2 z.
18/715
Three letters picked without replacement from {u: 7, q: 4, w: 7}. Give prob of picking 1 q and 2 w.
7/68
What is prob of picking 2 f when two letters picked without replacement from {f: 9, i: 2}?
36/55
What is prob of picking 1 q, 1 v, and 2 m when four letters picked without replacement from {p: 3, q: 3, v: 2, e: 2, m: 3}?
18/715
Two letters picked without replacement from xexxexxexxxexxexue. Give prob of picking 1 u and 1 x.
11/153
Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {q: 2, i: 6, t: 2, w: 8}.
4/51
Four letters picked without replacement from {r: 1, y: 11}. Give prob of picking 1 r and 3 y.
1/3
Calculate prob of picking 3 i when three letters picked without replacement from lciiiilliiliillilll.
28/323
Calculate prob of picking 1 b, 1 p, and 1 j when three letters picked without replacement from ppbsbppbjb.
2/15
Four letters picked without replacement from {a: 2, b: 1, p: 1, v: 4, z: 2, e: 5}. What is prob of picking 1 b, 2 z, and 1 p?
1/1365
Calculate prob of picking 2 i and 2 s when four letters picked without replacement from sssssisssis.
6/55
Two letters picked without replacement from {z: 7, x: 1}. What is prob of picking 2 z?
3/4
Calculate prob of picking 2 h and 1 i when three letters picked without replacement from iiivhhiiii.
7/120
Three letters picked without replacement from njnnnjjjjjjnjjjjnjj. Give prob of picking 1 j and 2 n.
65/323
Two letters picked without replacement from iiiiiiiuiiiiuiiiiii. Give prob of picking 2 u.
1/171
Two letters picked without replacement from jwfwgjgfwwjwwgww. Give prob of picking 2 w.
7/30
Calculate prob of picking 2 i when two letters picked without replacement from isxsib.
1/15
Four letters picked without replacement from {y: 7, b: 1, z: 2}. Give prob of picking 1 z, 1 b, and 2 y.
1/5
Three letters picked without replacement from uauuavvwuuaawvauw. What is prob of picking 1 w and 2 v?
9/680
Two letters picked without replacement from {q: 1, s: 1, x: 1, m: 1, h: 2, d: 1}. What is prob of picking 1 d and 1 h?
2/21
Calculate prob of picking 2 a, 1 i, and 1 p when four letters picked without replacement from {a: 3, i: 1, p: 1, j: 2}.
3/35
Calculate prob of picking 1 w, 1 g, and 1 k when three letters picked without replacement from {w: 4, g: 3, k: 4}.
16/55
Two letters picked without replacement from {m: 13, i: 2, c: 1, r: 3, v: 1}. Give prob of picking 2 i.
1/190
What is prob of picking 1 r and 2 k when three letters picked without replacement from rrkvkrvrrkkkrrkkvrr?
63/323
Four letters picked without replacement from ffvveettthhtee. Give prob of picking 1 v, 1 t, and 2 f.
8/1001
Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {n: 1, h: 1, u: 1, w: 1, y: 2, q: 1}.
1/21
Three letters picked without replacement from {w: 3, b: 2, t: 1, m: 3, g: 1, e: 2}. What is prob of picking 1 m, 1 e, and 1 b?
3/55
Four letters picked without replacement from {s: 4, b: 4, y: 7, t: 1, u: 4}. What is prob of picking 1 u, 1 y, and 2 s?
56/1615
Calculate prob of picking 2 p and 1 c when three letters picked without replacement from {r: 4, p: 3, c: 2}.
1/14
What is prob of picking 2 k when two letters picked without replacement from {k: 4, n: 3, i: 4, m: 1, r: 1}?
1/13
What is prob of picking 4 a when four letters picked without replacement from {a: 1, g: 3, z: 1, v: 5, l: 1}?
0
What is prob of picking 2 z and 1 w when three letters picked without replacement from zwzwzzzzz?
1/2
Two letters picked without replacement from googogdgddoooogo. Give prob of picking 2 o.
7/30
What is prob of picking 1 k and 2 y when three letters picked without replacement from kpymkmkykyy?
8/55
What is prob of picking 1 v and 1 a when two letters picked without replacement from ayayayayyyyyayyyyvyy?
1/38
Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {a: 11, z: 1}.
1/6
Calculate prob of picking 1 e and 3 q when four letters picked without replacement from {t: 6, q: 3, e: 4, c: 2}.
4/1365
What is prob of picking 1 e, 2 d, and 1 p when four letters picked without replacement from {w: 1, e: 5, d: 7, c: 1, p: 1, b: 2}?
3/68
Calculate prob of picking 1 j and 1 y when two letters picked without replacement from {j: 2, g: 4, i: 5, a: 1, y: 2}.
4/91
Four letters picked without replacement from yffdgzyfgfzyuug. What is prob of picking 3 f and 1 z?
8/1365
Calculate prob of picking 1 m and 2 a when three letters picked without replacement from aggmaaggmg.
1/20
Two letters picked without replacement from {e: 1, i: 7, a: 1, g: 4}. What is prob of picking 1 i and 1 g?
14/39
Calculate prob of picking 4 n when four letters picked without replacement from {n: 6}.
1
Calculate prob of picking 2 c when two letters picked without replacement from {p: 3, c: 4, q: 1}.
3/14
Four letters picked without replacement from {g: 2, h: 18}. What is prob of picking 4 h?
12/19
Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {c: 2, i: 1, x: 3, a: 9, g: 2}.
1/68
Four letters picked without replacement from {i: 1, b: 2, l: 2}. Give prob of picking 2 l, 1 b, and 1 i.
2/5
Three letters picked without replacement from {d: 2, w: 10}. What is prob of picking 1 d and 2 w?
9/22
Two letters picked without replacement from abkeeekeeeaeebbbbmee. What is prob of picking 1 k and 1 a?
2/95
Calculate prob of picking 1 m and 3 y when four letters picked without replacement from {y: 3, z: 4, m: 1}.
1/70
Three letters picked without replacement from {e: 7, b: 5}. Give prob of picking 2 e and 1 b.
21/44
Calculate prob of picking 1 n and 3 t when four letters picked without replacement from tttttttnttttttttnttt.
32/95
What is prob of picking 2 i when two letters picked without replacement from tisitiiiiitit?
14/39
Calculate prob of picking 2 c, 1 i, and 1 a when four letters picked without replacement from accwaiz.
2/35
Two letters picked without replacement from wpwwqipiqwpppwqy. What is prob of picking 2 q?
1/40
What is prob of picking 3 r when three letters picked without replacement from {o: 6, a: 1, r: 8}?
8/65
Three letters picked without replacement from fssoswlfscssfsssocws. What is prob of picking 1 w and 2 s?
3/38
Calculate prob of picking 1 h, 1 d, and 1 x when three letters picked without replacement from dxxh.
1/2
Three letters picked without replacement from {e: 3, l: 2, m: 2, b: 4}. Give prob of picking 2 l and 1 e.
1/55
Calculate prob of picking 1 j and 1 f when two letters picked without replacement from mpfjdmjd.
1/14
What is prob of picking 3 i when three letters picked without replacement from iuiiiiui?
5/14
What is prob of picking 1 c and 1 t when two letters picked without replacement from cttthhhhtttghttc?
2/15
Two letters picked without replacement from rqqrwqwqqqrq. Give prob of picking 2 q.
7/22
What is prob of picking 1 x and 1 p when two letters picked without replacement from {p: 1, x: 13, l: 1}?
13/105
Calculate prob of picking 2 i and 1 z when three letters picked without replacement from yiimizily.
1/14
Two letters picked without replacement from {z: 6, x: 2, v: 9}. What is prob of picking 2 v?
9/34
Two letters picked without replacement from {i: 1, b: 4, e: 1, j: 4, u: 1}. What is prob of picking 1 i and 1 u?
1/55
What is prob of picking 2 b and 1 f when three letters picked without replacement from lfljllllljlbbjlj?
1/560
Calculate prob of picking 1 w, 1 s, and 1 g when three letters picked without replacement from {s: 2, k: 1, w: 2, e: 1, u: 3, g: 6}.
24/455
Calculate prob of picking 1 x, 1 y, and 1 i when three letters picked without replacement from liilbyxiixlylx.
6/91
Two letters picked without replacement from stbbaqbqbaqqtbqa. Give prob of picking 1 t and 1 a.
1/20
What is prob of picking 4 x when four letters picked without replacement from xxxxxxxoxxxoxo?
30/91
Three letters picked without replacement from {g: 4, e: 3, c: 5}. Give prob of picking 1 g and 2 c.
2/11
What is prob of picking 2 c when two letters picked without replacement from zziiccijcitiiccct?
15/136
Four letters picked without replacement from i
|
{
"pile_set_name": "DM Mathematics"
}
|
4. Let r(h) be the first derivative of h**4/4 + 2*h**3 + 19. Calculate the remainder when r(-3) is divided by p(6).
7
Suppose -25169 = -79*r - 65*r + 69151. Calculate the remainder when r is divided by 109.
1
Let v(o) = 18*o + 126. Let s be v(-7). Suppose j - 2*f + 56 = 113, -3*f = s. Let t = -11 + 42. Calculate the remainder when j is divided by t.
26
Let j be 0/(-1*(3 + -2)). Suppose 15*m - 345 = -j*m. Let x = 14 - 11. Calculate the remainder when m is divided by x.
2
Let u(m) = -3*m**3 - 64*m**2 + 42*m - 13. What is the remainder when u(-22) is divided by 2*(2 - (-14)/4)?
9
Suppose -32*t - 491 = -c, -5*t + 2848 - 723 = 5*c. Calculate the remainder when c is divided by 137.
16
Suppose 5*c - 26 = -3*h, -44*h + 49*h = c + 6. Suppose -h*t + 44 = -3*u, -33 = -3*t + 4*u + 33. What is the remainder when 43 is divided by t?
21
Suppose -i + 3*y + 8 + 10 = 0, -5*y - 13 = 4*i. Let x = -173387 - -173679. Calculate the remainder when x is divided by i.
1
Suppose 3*p = -x + 1400, -16*p - 7096 = -5*x - 19*p. What is the remainder when x is divided by 34?
30
Suppose -2441 - 199 = -176*m. Suppose 2 = -4*o + 18, -5*y = 4*o - 526. Calculate the remainder when y is divided by m.
12
Suppose 435 = -2*u + 5*i, -5*u + 5*i = 1722 - 672. Let v = 254 + u. What is the remainder when 186 is divided by v?
39
Let j(a) = -7*a**2 - 59 + a**3 + 58 + 2*a**2 + 0*a**3 + 7*a. Let q be j(5). Suppose -q*b + 35 = -29*b. Calculate the remainder when 13 is divided by b.
6
Let k = 19290 - 11274. Calculate the remainder when k is divided by 243.
240
Suppose 3*l = 2*x, 4*x - 4*l = -0*l - 4. Suppose 4*o - 31 - 61 = 0. What is the remainder when (-2)/x*-6 + 86 is divided by o?
13
Suppose 0 = 10*k - 16*k + 198. Let z(v) = -v**2 + 17*v**2 + 7 - 6*v - 11*v**2. What is the remainder when z(-5) is divided by k?
30
Suppose -3*s - 8*n + 3*n = -230, -s + 88 = -4*n. Suppose 1205 = 60*t + 79*t - 1992. What is the remainder when s is divided by t?
11
Let b be 2/12 + 1298/(-12). Let n = -51 - b. Let s = 3169 + -3139. What is the remainder when n is divided by s?
27
Let i = 6886 + -6649. Calculate the remainder when i is divided by 73.
18
Let b(x) = -x**3 + 49*x**2 - 78*x - 156. What is the remainder when 1207 is divided by b(47)?
15
Let i = -12035 + 14668. Calculate the remainder when i is divided by 164.
9
Let k(j) = 220*j - 138. What is the remainder when 324 is divided by k(1)?
78
Let o be 4462/8 - 33/44. Suppose 4*w = -2*z + 760, -3*w + 7*z + o = 2*z. What is the remainder when w is divided by 24?
21
Suppose 5*d + 3*h = 681, -10*h - 278 = -2*d - 14*h. What is the remainder when 64 is divided by (-3 - d/(-25))/(-2)*-5?
4
Let q(d) = -5*d - 1. Let x(r) = -39*r + 243. What is the remainder when x(5) is divided by q(-3)?
6
What is the remainder when -4 + 3*((-2320)/(-6) - 28/(-14)) is divided by 32?
10
Let j be -6*6/(-9) + -36. Let d = j + 38. What is the remainder when (d/(-15))/(10/(-100)) is divided by 2?
0
Let l = 1969 + -1676. What is the remainder when l is divided by 148?
145
Let b(q) = -22*q**3 - 13*q**2 - 19*q + 14. Let l be b(-7). Suppose 4*d + l = 53*d. What is the remainder when d is divided by 21?
18
Let b be (-3)/6 + (-9)/(-18). Suppose b = -6*l + l + 270. Suppose 2*m = -0*m + 38. What is the remainder when l is divided by m?
16
Suppose -6192 = -26*n + 32*n. Calculate the remainder when n/16*(-24)/9 is divided by 58.
56
Suppose 20 - 16 = -u. What is the remainder when 70 is divided by 4 - (-4 - (u - -2))*4?
10
Let b be 5/20 + (317/(-4) - -3). Calculate the remainder when 473 is divided by (-5)/1 + 149 + b.
65
Let d(z) = 39*z**2 + 83*z - 253. What is the remainder when d(4) is divided by 115?
13
Let r(k) = 9*k + 7. Let s = 53101 - 53069. Calculate the remainder when r(6) is divided by s.
29
Suppose 0*c - 2*c = -24. Let l(m) = 37 - 8*m + 33*m - 14*m - c*m. Calculate the remainder when l(9) is divided by 9.
1
Suppose -10*m + 1128 = 928. What is the remainder when 477 is divided by m?
17
Let d(b) = b**2 + 21*b - 44. Let c be d(-23). Suppose 5*q - 6 = c*q, 54 = 2*m - 3*q. Suppose -6*o + 356 = -2*o. Calculate the remainder when o is divided by m.
29
Suppose -64 = -12*a - 4. Suppose -a = 3*u - 41. Suppose 3*l - u*l = -99. Calculate the remainder when l is divided by 4.
3
Let o be (-4)/10 + ((-213)/5 - 5). Let a = o + 191. Let h = -58 + a. What is the remainder when h is divided by 15?
10
Let g = 740 + 138. Calculate the remainder when g is divided by 221.
215
Suppose -3*o - 35 = -4*f - 6, o - 22 = -5*f. Suppose -3*v - 8*u + f*u + 42 = 0, 3*u = 4*v - 91. Calculate the remainder when 31 is divided by v.
12
Let p(l) = 133*l + 538. What is the remainder when 1563 is divided by p(-4)?
3
Suppose -116*r + 3348 + 6052 = -22*r. What is the remainder when 205 is divided by r?
5
Suppose 6*v = 2*v - 3*w + 37, -2*v + 21 = -w. Calculate the remainder when 203 is divided by v.
3
Let y be -3 - -239*(-1 + 2). Suppose 22*g = 138 + y. What is the remainder when 34 is divided by g?
0
Let z(c) = 4*c + 30. Let g be z(-7). Suppose 6 = 2*x - g. Suppose 4*i = -j + 26, 4*i - 10 = i + x*j. What is the remainder when 22 is divided by i?
4
Let f be 348/(-9)*(0 + 3) - 4. What is the remainder when 697 is divided by (-34)/(-10) + -3 + (-3312)/f?
25
Let q be (-3 - 6)/(1/2 - 2). Let u = 50 + -27. What is the remainder when u is divided by 3/(q/(-54)*-3)?
5
Let c be ((-2)/(-4))/(1/(-20)). Calculate the remainder when ((-24)/15)/(1/c) is divided by 9.
7
Let y = 166 - 224. Let g = -41 - y. What is the remainder when 83 is divided by g?
15
Let v(u) = -328*u + 3105. Calculate the remainder when v(8) is divided by 108.
49
Suppose 0 = 2*u + m + 3*m - 4, 5*m = -2*u + 3. Suppose -u*z - 18 = -46. Suppose 0 = 18*j - 38*j + 1200. Calculate the remainder when j is divided by z.
4
Suppose -159*u = -163*u - 2*a + 1150, -a - 2549 = -9*u. Calculate the remainder when u is divided by 50.
34
Let l(x) be the first derivative of 21 + 11*x - 15/2*x**2. What is the remainder when l(-13) is divided by 52?
50
Let q(z) = z**3 + 10*z**2 - 34. Let k be q(-11). Let s = k - -198. What is the remainder when s is divided by 9?
7
Suppose 7*v - 2*v = 80. Suppose 0 = 2*i + w - 165, -2*i + 499*w = 495*w - 130. What is the remainder when i is divided by v?
15
Suppose 3*i = -h + 25, 28 + 22 = 2*h + i. Suppose -h*f = -19*f - 624. Calculate the remainder when f is divided by 16.
8
Let u(v) = 7*v - 212. Calculate the remainder when u(31) is divided by 4.
1
Let b(t) = t**3 + 3*t**2 - 6*t + 8. Let p = 74 - 68. Suppose -3*j - 3*m - 9 - p = 0, 5*j + 18 = 2*m. Calculate the remainder when 26 is divided by b(j).
10
Suppose 19*p + 260 = 29*p. What is the remainder when p is divided by 9?
8
Let a(w) = -21*w - 427. What is the remainder when 187 is divided by a(-21)?
5
Suppose 5*y + 0*m = -4*m - 5, y - 5*m = 28. Let g(f) = -39 + 32 - 12 - y*f. What is the remainder when g(-20) is divided by 21?
20
Suppose 4*x + 49 = -3*q + 290, 5*q = 3*x + 421. Calculate the remainder when q is divided by 20.
3
Let z(k) = 200*k**3 - k + 543. Suppose 0 = 5*x - 15, 3*v + 114 = 6*v + 4*x. Calculate the remainder when z(0) is divided by v.
33
Suppose 0 = l - 2*l + 90. Suppose -471 = -61*d + 64*d. Let t = d - -203. Calculate the remainder when l is divided by t.
44
Let z = -5977 - -6154. What is the remainder when z is divided by 17?
7
Suppose -m + 2*m + 8 = 3*v, 3*m = -3*v. Suppose -5*s + q + 48 = -v*q, 2*s - 17 = -q. Calculate the remainder when (-28 - -3)/((6/(-3))/2) is divided by s.
7
Suppose 37*j - 136 = 20*j. Let c = -229 + 276. Calculate the remainder when c is divided by j.
7
Let t(o) = -12*o**3 - 50*o**2 + 2*o + 10. What is the remainder when t(-5) is divided by 4?
2
Let t(z) = 9*z**2 - 7*z + 2. Let i be t(1). Suppose 3*u + 375 = -4*o, -5*o + 0*u = -i*u + 430. Let q = o - -95. What is the remainder when 31 is divided by q?
1
Suppose -o + 3*n - 250 = 0, 1196 = -7*o + 2*o - 3*n. Let v = o - -257. What is the remainder when 142 is divided by v?
14
Suppose 3*l = 1106 + 145. What is the remainder when l is divided by ((-2835)/28)/(-5) + (-2 - 33/(-12))?
18
Let k(i) = i**3 + 12*i**2 + 8*i. What is the remainder when 1 + (1188/(-55))/(10/(-75)) is divided by k(-11)?
31
Let m = -29 + 84. Let y be 3*(-5)/30*2. What is the remainder when m is divided by (210 + -206)*(3 - (0 - y))?
7
Let w(r
|
{
"pile_set_name": "DM Mathematics"
}
|
4*c. Let q be -15 - (-70)/(-7)*-1. Calculate n(q).
-30
Let p(w) be the second derivative of -w**3/6 - 7*w**2/2 - 70*w. What is p(0)?
-7
Let i(r) be the third derivative of r**4/24 - r**3/6 - 3*r**2. Let a(k) = -7*k + 13. Let v(s) = a(s) + 6*i(s). Let b(g) = g - 2. Let t be b(5). Determine v(t).
4
Let a(i) = i**3 + i**2 - i. Suppose -5*t - 2*c - 2*c + 16 = 0, 0 = 2*t + 4*c - 4. Suppose -4*q = -2*q - 2, -t*q = -5*k + 1. Determine a(k).
1
Let y(l) = l + 16. Let t(r) = 2*r + 30. Let n(c) = -3*t(c) + 5*y(c). What is n(-5)?
-5
Let g(r) = -7*r**3 + 5*r**2 - 3*r - 9. Let m(k) = -15*k**3 + 11*k**2 - 7*k - 19. Let a(q) = 13*g(q) - 6*m(q). Calculate a(2).
-9
Let w(u) = -3*u + 4. Let s(l) = -1. Let f(i) = -s(i) + w(i). Let j be f(3). Let q(o) = o**2 + o - 3. Determine q(j).
9
Suppose -3*u + 8*u = 130. Suppose u*f - 21*f = 10. Let t(i) = i**3 - 2*i**2 + 1. Calculate t(f).
1
Let v = 35 - 28. Suppose -2*n - 2*n + v = -m, -4*m + 17 = -n. Let c(s) = 1 + 4 + s + 0 - n. Determine c(5).
7
Let d(j) = 5*j + 0 - 8*j - 2. Let f(z) = -2*z**3 + z**2 + 3*z - 1. Let a be f(2). Let i(o) = -5*o - 5. Let b(p) = a*d(p) + 3*i(p). Calculate b(-2).
-13
Suppose -s + 15 = -4*z + 8, 4*s = -5*z - 14. Let q(j) = -j + 3. Determine q(z).
5
Suppose -n - 5*q = 20, -2*q = 2*n - 5*q + 1. Let j(l) = l**2 + 4*l. What is j(n)?
5
Let g = -978 + 966. Let i(z) = z + 5. Determine i(g).
-7
Let l(d) = 3*d + 15. Let t(c) = -13*c - 62. Let o(a) = 9*l(a) + 2*t(a). Let x be (-1)/(-1)*9/3. Suppose 3*b + b = -x*r - 9, -b + 5*r - 31 = 0. What is o(b)?
5
Let i(s) = -41 - s**2 + 87 - 47. Let k(d) = -2*d**2 + 7*d - 3. Let b(g) = -3*i(g) + k(g). Give b(-5).
-10
Let i(b) = -25 - 4*b**2 + 5*b**2 + 24 + 6*b**3 - b**3. Let j(a) = a**3 + 4*a**2 - 6*a - 4. Let k be j(-5). Give i(k).
5
Let k(g) = g**3 - 12*g**2 - 12*g - 11. Let w be k(13). Suppose -w*d + 20 - 28 = 0. Let b(l) = 2*l**2 + 5*l - 3. What is b(d)?
9
Let w(c) = -c**2 - 10*c - 1. Let g(t) = t**2 + 22*t + 32. Let o be g(-21). Let b(j) = 2*j**2 - 22*j - 7. Let z be b(o). Calculate w(z).
20
Suppose 45*g - 159 = -69. Let k(r) be the first derivative of 1/2*r**g + 9 + 3*r. What is k(5)?
8
Let q(p) be the second derivative of p**3/6 + 3*p**2/2 - 2*p. Let n be q(-7). Let i(h) = 6*h + 3 + 4*h**2 + 1 - 3*h**2. Calculate i(n).
-4
Suppose q = -2*q. Suppose 4*x + 4*j - 12 = 0, j + q = 3. Let l(z) = -25*z - 26*z - 3 - 22*z + 74*z. Calculate l(x).
-3
Let w(h) be the third derivative of 1/144*h**6 + 0 + 1/120*h**5 + 0*h**3 - h**2 - 5/24*h**4 + 0*h. Let y(c) be the second derivative of w(c). What is y(3)?
16
Let t(i) = -5*i - 3. Let l(n) = n + 1. Let x(j) = 3*l(j) + t(j). Let c be ((-12)/18)/(2/(-3)). What is x(c)?
-2
Let t(j) = -j**3 + 7*j**2 - 2*j + 4. Let r = 564 + -558. What is t(r)?
28
Let o(m) = -m**2 + m + 84. Let c be o(-8). Let b(p) = -p**3 + 11*p**2 + 16*p + 7. What is b(c)?
55
Let j(l) = -l**2 - 2*l + 3. Let w(g) = -4*g**2 + 6*g - 5. Let i be w(1). What is j(i)?
0
Let z(a) = a + 13. Let b(d) = -d**3 + 3*d**2 + 3*d - 2. Let f be b(4). Let o be z(f). Let u = o + -5. Let s(m) = -5*m + 3. Determine s(u).
-7
Suppose 5*n + 0*o = -5*o + 35, 4*o - 14 = 3*n. Let s(r) = -32*r**2 - 7*r + n + 33*r**2 + 2*r. Give s(8).
26
Suppose 42 = -16*g + 9*g. Let q be (-4 + g/(-2))/(4/28). Let y(k) = k**3 + 7*k**2 - k - 2. Determine y(q).
5
Let m(p) = -2*p**3 - 2*p**2 + 2. Suppose 27*z + 26*z + 106 = 0. Give m(z).
10
Let x(p) = 3*p - 14*p**2 + 7*p**2 + 0 + 8*p**2 + 4. Determine x(-3).
4
Let q(n) be the first derivative of -n**4/4 - 2*n**3 + 4*n + 3. Let o be ((70/25)/(-7))/((-2)/(-30)). Calculate q(o).
4
Let j be -5*((-33)/(-55) + (-1 - -1)). Let o(l) = -l - 32*l**3 + 3*l**2 - 28*l**3 - 29*l**3 + 2 + 90*l**3. Give o(j).
5
Let s = 43 + -35. Let b(m) be the second derivative of m**5/60 - 5*m**4/12 + 3*m**3/2 - 2*m**2 + 11*m. Let j(a) be the first derivative of b(a). Determine j(s).
-7
Let c(z) = -z**3 - 7*z**2 - z + 5. Let m be c(-7). Let q = m + -11. Let g(v) = -18*v**2 - q + 13*v**2 - 4 + v**3 - 3*v. Determine g(6).
13
Let m be (2/8)/(246/48 + -5). Let s(n) = n + n + 9 - n + m. Calculate s(-8).
3
Let d(l) = l**3 - 6 - 9 + 16 + 0*l**2 + 4*l**2 + 2*l. Let x be d(-4). Let f(k) = -k - 6. Calculate f(x).
1
Suppose -15*c + 16*c - 3*d + 4 = 0, -2*c + 5*d = 11. Let o(j) = j**3 + 15*j**2 + 25*j - 17. Determine o(c).
-4
Let a(f) be the first derivative of -f**4/4 - 4*f**3/3 + f**2 - 2*f - 130. Let j(q) = q + 1. Let p be j(-6). What is a(p)?
13
Let p(n) = n**2 + 3*n - 1. Let s = -569 + 565. Give p(s).
3
Let y be -8 + 1 - ((-5)/(-1) + -9). Let r(j) = j**3 + 3*j**2 + 3*j + 3. What is r(y)?
-6
Let y(c) = 4*c - 9*c**2 - 3 + c**3 + c**2 + 4*c**2. Determine y(3).
0
Let z be ((-4)/6)/(1/3). Let r be 8 + 1 + z + 5. Suppose i = -i + r. Let f(o) = -4*o + 7. Give f(i).
-17
Let t(f) = 3*f + 1. Suppose -s + 1 = 4. Let j(h) = -2*h - 1. Let a(q) = s*t(q) - 4*j(q). Let y be -10 - ((-4)/4 + -4). What is a(y)?
6
Suppose 5*u - 210 = -10*u. Let i(x) = x**2 - 12*x - 29. Give i(u).
-1
Suppose -2 = 3*d - 4*l + 8*l, -4*l = -5*d + 18. Suppose 2*x + d*x = 0. Let t(a) = -a**2 + 7. Determine t(x).
7
Suppose -3*u + 11 = -2*b, 2*b - 7 + 3 = 0. Let o(n) = -1 - 14*n + 6*n + u*n. Determine o(1).
-4
Let z(b) = -2*b - 12. Suppose 11*c + 320 = 16*c. Let y = -73 + c. What is z(y)?
6
Let z be 10*(0 + -3)*1. Let m be (-50)/(-4)*z/(-25). Let n = m + -12. Let a(l) = l**2 - 3*l + 3. What is a(n)?
3
Let x(i) = 5*i**3 - 2*i**2 + 61*i - 53. Let c(p) = p**3 - p**2 + 15*p - 13. Let l(w) = -9*c(w) + 2*x(w). Calculate l(-7).
4
Let r(u) = -2*u + 13. Let f = 1324 + -1315. Give r(f).
-5
Let p(c) = -c**3 + 6*c**2 + 6*c + 7. Let u = 15 + -8. Let y be p(u). Let f(v) = 1 + 8*v**2 - v - 19*v**2 + 12*v**2. Calculate f(y).
1
Let v(l) = -l**2 - 2*l + 1. Suppose o + 4*b = -13, -3*o - 3*b + 46 - 49 = 0. Calculate v(o).
-14
Let h be -4*1/(-2) - -2. Let q(o) = -5*o + 6*o + h - 3. Calculate q(4).
5
Let d(h) = h**2 - 2*h + 5. Let o be 1 - (-5 - 12/3). Suppose 4*b = 30 - o. Let s(i) = -i**2 + i - 5. Let a(t) = b*d(t) + 6*s(t). Determine a(-5).
-10
Let j = -11361 + 11360. Let y(g) be the first derivative of -g**5/24 - g**4/24 + g**3/3 + 1. Let m(c) be the third derivative of y(c). Calculate m(j).
4
Let x(t) = -4*t - 23. Let n be x(-7). Let b(w) = w**2 - 6*w - 4. Calculate b(n).
-9
Suppose 36 = 3*o + 9. Let w(t) = -72 + 14*t - 15*t + 73. What is w(o)?
-8
Let w(q) be the second derivative of q**3/6 - 3*q**2/2 + 59*q. What is w(-9)?
-12
Let u(t) = 76*t - 6 - 142*t + 67*t. Calculate u(6).
0
Let g(h) = -2 + 2*h + 3*h**2 - 2*h**2 + 3 + 1. Let k = -13 - -10. Let x be (4 + -3)*(k + 1). Determine g(x).
2
Suppose 81*v - 82*v = -33. Suppose -3*u - v + 27 = 0. Let a(k) = 2*k**3 + 3*k**2 - 1. Calculate a(u).
-5
Let x(y) = -y - 2. Let w(s) = -3*s - 5. Suppose 7 = 3*z - 5. Let d(v) = z*w(v) - 11*x(v). Suppose 6 = -3*p + 2*h, 5*p - h - 6 = -3*h. Calculate d(p).
2
Let s be (3 - (-55)/(-20))*36. Suppose 2*o = 3 + 13. Let y = o - s. Let r(l) = -4*l. Calculate r(y).
4
Let t(f) = f + 1. Suppose 10*c = 5*c - 55. Calculate t(c).
-10
Let f(p) be the first derivative of 29*p**4/4 - p**2/2 + p - 3. Calculate f(1).
29
Let o(v) = -6*v**3 - 2*v**2 + 8*v - 5. Let s(f) = f**3 + 2*f**2 + 1. Let y(c) = o(c) + 5*s(c). Give y(9).
-9
Suppose -q - 3 = -4*q. Let y(s) = -14*s**2 - 5*s + 6. Let u(n) = -n**2 + n - 1. Let j(g) = -5*u(g) - y(g). Determine j(q).
18
Let b(t) = -4*t - 1. Suppose 1 = 2*d + f, 0 = d + 5*f - 2*f + 2. Determine b(d).
-5
Let m(w) = -4*w - 2. Let q(i) = 5*i + 1. Let x(a) = -6*m(a) - 5*q(a). Let h be 2 + -2 - 3/(-1). Suppose 1 = -b, h*c - 22 = -2*b + 3*b. Determine x(c).
0
Let o(t) = t**3 - 2*t**2 - 7. Let b be o(3). Let a(h) be the third derivative of 3*h**4/8 - h**3/3 - 32*h**2. What is a(b)?
16
Let w(j) be the second derivative of j**4/12 + j**3 + j**2/2 + 11*j - 3. Give w(-5).
-4
Let c(g) = 6*g - 10. Let f be c(7). Let s(r) = -f + 35 + 4*r + 4*r**2 - 2*r. Give s(-2).
15
Suppose 16 = 3*b - 4*d + 4, 2*b = d + 3. Suppose b = -7*i + 4*i. Let m(z) = -z**2 + z + 1. Calculate m(i).
1
Suppose -6*g = 36 - 186. Let x = -75 + 106. Let f = x - g. Let z(h) = -h**2 + 6*h + 5. Calculate z(f).
5
Let k(c) = -4*c**2 + 5*c - 5. Let m(v) = 3*v**2 - 5*v + 4. Let b(t) = 2*k(t) + 3*m(t). Suppose 8*w - 13 = 19. Calculate b(w).
-2
Let w(l) be the first derivative of l**3/6 + l - 12. Let n(j) be t
|
{
"pile_set_name": "DM Mathematics"
}
|
*j + 2*j + a. Suppose j = 4*w - 3*w. Do 2 and w have the same value?
True
Let y = -986 - -990. Is -72 at most y?
True
Let k(c) = c**3 - 13*c**2 + 14*c - 19. Let q be k(12). Suppose 2*z = 3*n - z + 33, q*n + 3*z = -23. Which is smaller: n or 3?
n
Suppose -415 = -17*l + 146. Is l bigger than 168/5?
False
Let w(k) = -18*k + 2. Let c be w(2). Let s = 55 + c. Let n = s + -15. Is n at least 5?
True
Suppose -4*q - 3*d = -3, -4*q - 4*d = -3*d - 9. Suppose 6*o = q*o + 2*n, -5*n = o - 17. Suppose -3*u + 15 = o*u. Is u greater than 3/2?
True
Let r = 147.48 + -143. Let z = r - 0.28. Is 1/3 at most as big as z?
True
Let h = 55 - 34. Let m = h - 19. Are 3/2 and m equal?
False
Let g = -8010 - -857076/107. Which is smaller: 0 or g?
0
Let g be (2 + (-188)/8)/(6/(-12)). Is g < 265/6?
True
Let v be (-685)/4470 + 4/24. Is v smaller than 0?
False
Suppose 10 = 2*u + 3*u. Let d(a) = a**3 - 5*a + 1. Let n be d(u). Let k = 4.92 + -5. Which is greater: n or k?
k
Let j be 4/(-14) - (-432)/(-56). Let g(f) = -f**2 + 6*f + 1. Let h be g(7). Which is smaller: j or h?
j
Suppose 4*v + 60 = -12. Let a be (-4)/v - 291/(-27). Which is smaller: 9 or a?
9
Let a = -2069/3 - -690. Is a less than -525?
False
Let f = 67/24 + -21/8. Suppose 7*c + 12 = 4*c, -4*c + 38 = -3*x. Let n = x - -19. Which is smaller: f or n?
f
Let n = -3 + 2.8. Let a = 19 + -19.62. Let j = a - -0.72. Which is smaller: n or j?
n
Let s = -1144/7 + 106385/651. Let h(j) = 2*j + 3. Let k be h(-2). Which is smaller: s or k?
k
Let g be 12/4 - (-10)/(-224)*67. Which is bigger: g or -1?
g
Suppose -2*a + 84 = 2*g, g + 3 = -0. Let t be (0 - -1)/((-15)/a). Which is smaller: 0.5 or t?
t
Let f = -617.9 - -618. Is f less than or equal to 679?
True
Let f be (11 - -5)/((-2)/(-2)). Let o = -13 + f. Suppose -4*n = -17 - o. Is n >= 1/3?
True
Let m be (-4)/38 - (-10322)/(-494). Which is smaller: m or -20?
m
Let p(y) = 4*y**2 - 9*y - 3*y**2 + 29 - 15. Let s be p(7). Is -22 greater than or equal to s?
False
Suppose 5*u + 13 = a, -4*a + 5 = -4*u + 1. Let m be 2/u - (-368)/(-24). Do m and -19 have different values?
True
Let l be (176/(-43))/(-2) + -2. Let d = 243 + -243. Is d >= l?
False
Let g = -981 - -948. Do 11 and g have the same value?
False
Let u = 5689/136 + -281/8. Does 8 = u?
False
Let f be (4 - 6)/((-6)/15). Suppose -5*o + 3*c + c + 92 = 0, -f*o + c = -98. Suppose 5*h + 5*s = -o, -3*h + s - 6 = -14. Which is smaller: h or 0.2?
0.2
Let h = 797/4 + -156. Which is smaller: h or 1/4?
1/4
Let h = -1 + 1.3. Let v = -0.2 - h. Is -1/4 smaller than v?
False
Let y be -1*(-1 - 35/(-33)). Which is smaller: y or -24?
-24
Let h = -1.4 + -166.6. Which is greater: h or 0.1?
0.1
Let o be (-1)/71*8/(-20). Let n = -688/3905 - o. Are n and 0.2 non-equal?
True
Let u = 442 + -441. Do 3/178 and u have the same value?
False
Suppose -5*l + 1295 + 387 = 2*z, -4*l + 2*z + 1342 = 0. Which is bigger: l or 339?
339
Let a be 3/(-10)*(-2 + (-1412)/(-696)). Which is bigger: -1 or a?
a
Suppose i + 0*i - 3 = 0. Suppose -w - 1 = z + i, 3*w = 3*z - 18. Let o = -16 - -10. Which is bigger: o or w?
w
Suppose -16 = -4*f, i = 2*f - 4 - 1. Suppose 0 = 2*r - 3*g - 19, 5*r - 6 = -i*g + 10. Suppose -4*o - r = o. Is o <= -3/7?
True
Let k = 67/2 + -33. Let n(j) = 4*j**2 + 8*j + 9. Let z(v) = 5*v**2 + 8*v + 9. Let r(i) = -6*n(i) + 5*z(i). Let p be r(9). Which is bigger: p or k?
k
Let q = 20392/7 + -2892. Which is bigger: 22 or q?
22
Let z(l) = 6*l**2 - 3*l + 2. Let v be z(1). Suppose -r + 10 = 2*q + 4*r, r - 2 = -v*q. Which is smaller: 2/19 or q?
q
Suppose y + 434 = 714. Which is smaller: 278 or y?
278
Let b(n) = -n**3 - 7*n**2. Let u(a) = -a - 2. Let v be u(-4). Suppose v*f = 4*f + 14. Let j be b(f). Which is smaller: 1/20 or j?
j
Let m = -371 - -370. Which is smaller: 2/679 or m?
m
Let i(n) = -5*n**3 - 10*n**2 + 9*n - 13. Let o be i(-4). Is 1 < o?
True
Let z(v) = 2*v**2 + 4*v - 6. Let i be z(3). Let u be (126/i)/(-1) + 3. Let s(b) = -b**2 + 8*b - 10. Let a be s(7). Do u and a have different values?
True
Let u be 16/24 - 17504/(-312). Which is greater: u or 57?
57
Suppose 8 = 2*s - 2. Let t = -3 + 21. Suppose -3*c - 3*c + t = 0. Is s < c?
False
Let o be 3/(-9) + (-39)/(-9). Let y(k) = k**3 - 3*k**2 - 4*k + 4. Let q be y(o). Let m be (-8)/(-1) - (4 + -2). Which is smaller: m or q?
q
Let l be (-108)/(-24) - (0 + 2/4). Let w be ((1 + 0)/(-66))/(l/(-16)). Is w > 1?
False
Suppose -5*q - 4*h = -196, 3*q - 3*h = 7*q - 156. Let i be (q/(-54))/((-8)/9). Are i and 2 non-equal?
True
Suppose 6 = 22*l - 192. Let u(g) = -5 - g + 6 + 6. Let o be u(l). Is -2/3 greater than o?
True
Let i = -99.7 - -93. Let y = -5.7 - i. Let c = 0.09 + -0.1. Which is bigger: y or c?
y
Suppose -35*p = -34*p. Let g = -6109/5610 + -1/510. Is p at most as big as g?
False
Suppose -6*n - 8 = -8*n. Let v(i) = -i**2 - 4*i - 11. Let g(f) = -f**2 - 3*f - 10. Let y(c) = 2*g(c) - 3*v(c). Let r be y(-4). Which is smaller: n or r?
n
Let v = 9853/7 + -1405. Suppose 4*f = 3 + 5. Which is smaller: v or f?
f
Suppose 12*s = 15*s - 15. Suppose -r + 6 = s. Which is greater: 2 or r?
2
Let s(f) = -10*f - 58. Let k be s(-6). Let t be 6/(-9) + (-62)/(-39). Which is smaller: k or t?
t
Suppose -49 - 77 = -3*b. Let w be (4/b)/((-19)/228). Which is bigger: -1/4 or w?
-1/4
Suppose -115*m = -116*m + 2*h + 1, -2 = h. Let c = -34766/3 + 11490. Let o = c - -97. Which is greater: m or o?
o
Let p = -307 + 305.826. Is -0.1 at least p?
True
Suppose -2*k - 4 = -0. Let h be ((16 - 11) + -6)*0/(-1). Is k <= h?
True
Let q(g) = -308 - 6*g**2 + 0*g**3 + 2*g + 304 - 2*g**3. Let a be q(-4). Is 19 at most a?
True
Let u(o) = o**2 - 3*o - 6. Let t be u(5). Suppose t*k - 1 = 15. Let q be (5/20)/(11/k). Are 1 and q nonequal?
True
Let l = 343 + -2335/7. Which is bigger: -0.1 or l?
l
Suppose -30 = 2*u - 2*i, -i = 2*u - 0*u + 15. Let y be (u - -6)/12*8/18. Which is greater: y or 1?
1
Let k be ((-594)/570 + 1)*70. Which is bigger: k or -2?
-2
Let n = -10.8 - -8.8. Let q be (-8)/8*2/6. Is q less than or equal to n?
False
Let w be 50*((-48)/(-15) - 2). Let a be 0*((-45)/w)/((-3)/2). Which is bigger: a or -4?
a
Suppose -3 + 2 = h. Let x(g) = -5*g**2 - 4*g + 13. Let n be x(-6). Let t be -3 + 4/(-2) + (-726)/n. Is h bigger than t?
False
Let y = -12 - -9. Let z be (y + 21/6)/(-1 + 0). Do z and 24 have the same value?
False
Suppose 2*s - 4 = -5*m + s, 5*m + 2*s - 8 = 0. Which is smaller: m or 0.1?
m
Let g = 31 - 31.1. Is g at most as big as -1/69?
True
Let i = -71.4 - -71.3. Do i and 21.4 have the same value?
False
Let v be 24*(-1 + (-8)/(-16)). Which is bigger: -10 or v?
-10
Let x be (-3)/(-12) + (-381)/(-12). Let g(c) be the first derivative of -7*c**2 - 51*c + 3. Let y be g(-6). Which is smaller: x or y?
x
Let u = 1399 - 8413/6. Is -4 bigger than u?
False
Let d = -0.95 - -1.06. Let s = -0.31 + d. Is s less than or equal to -22?
False
Let g = -9 - -7. Let h = -5 + 9. Suppose 0 = 5*r - h*o + 11, 0 = -3*o - 0 + 12. Which is greater: g or r?
r
Let j = -38 - -38.225. Let c = j + 0.095. Which is smaller: 1/3 or c?
c
Let y(d) = -38*d**3 + d - 1. Let q be y(2). Let n = q + 627/2. Is n > -1/3?
True
Let c be ((-473)/(-55) - 9)/((-2)/(-5)). Which is smaller: -2/43 or c?
c
Let k = 120 + 176. Which is bigger: k or 297?
297
Suppose -3*s = -2 - 10. Suppose s*m + 9*m - 5*m = 0. Suppose 0 = -3*l + 3 - 0. Is l equal to m?
False
Let x = -68 - -21. Let v = x - -59. Is 12 < v?
False
Let l = -0.49 - -0.17. Let q = l - -0.32. Let y = q - -5. Which is greater: 1/2 or y?
y
Let h = 23 + 8. Let v = h + -31. Is -5 equal to v?
False
Suppose 4 - 19 = -5*p. Suppose p*y = -4 - 8. Let s be (-1)/y + 3/4. Is 9/5 bigger than s?
True
Let u be 4/12 + 500/(-42). Let m = -12 - u. Let n be 0/(6 - 2 - 2). Which is smaller: m or n?
m
Suppose -4*x + 60 = n, -5*n - 16 = 4*x - 236. Do n and 40 have different values?
False
Let g = 680 + -686. Which is smaller: g or -98?
-98
Let n(r) = -r + 1. Let w = -8 + 10. Let x be ((0 - -1) + -1)/w. Let i be n(x). Which is smaller: 10 or i?
i
Let t = 0.33 + 15.67. Does t = -0.06?
False
Let s(c) = c**2 + 1. Let i(j) = 11*j**2 + 4*j. Let g(p) = i(p) + 5*s(p). Let k be g(-1). Is 17 greater than or equal to k?
True
Let p = -43.1 + 46. Let x = -81.7 - -79. Let o = x + p. Is -0.3 >= o?
False
Let z = 28 - 25. Let t be (1 - 0)*z - 1. Is 2 <= t?
True
Let a(x) = x**3 + 4*x**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
ate -3*m**3*r - 482*m**3*w - 150*m*r*w - 2*m*w with respect to r.
-3*m**3 - 150*m*w
Find the third derivative of 11664*d**5 + d**3 - 1334*d**2 + 2*d wrt d.
699840*d**2 + 6
Find the first derivative of -83*k**2 - 1848.
-166*k
Find the first derivative of 200*n**4*q**2 - 2*n**4*q + 2*q**2 - 3*q wrt n.
800*n**3*q**2 - 8*n**3*q
Find the first derivative of 331*t + 681 wrt t.
331
Find the second derivative of 2*g*i**2*y + 51*g*i*y**2 - 2*g*i*y + 4*g*y + 565*i**2*y**3 - 2*i*y**3 wrt i.
4*g*y + 1130*y**3
What is the second derivative of 902*m**2 - 16*m - 5 wrt m?
1804
Differentiate -11*f*n**2 + f*n*w + 10211*f*w - 103*n**2*w with respect to n.
-22*f*n + f*w - 206*n*w
Find the first derivative of 11672*b*y**2 + 17368*y**2 wrt b.
11672*y**2
Find the third derivative of -2575*p**3*u**3*v + p**3*u**2*v + 5*p**2*u**3 + 3*p*u*v + 9*u**3*v - 2*u**2 + 7*v wrt p.
-15450*u**3*v + 6*u**2*v
What is the first derivative of -2*q*x**3 - 119*q + 4*x**4 + x wrt x?
-6*q*x**2 + 16*x**3 + 1
What is the third derivative of 3*d**6*u + 100*d**3*u**2 - 2*d**2*u**2 + 288*u**2 wrt d?
360*d**3*u + 600*u**2
Differentiate 3*m**3*t**2*u + 3*m**3*t**2 + 5*m**3*t - 30*m**3*u + 2*t**2 wrt u.
3*m**3*t**2 - 30*m**3
What is the third derivative of -7718*h*w**3 + 230*h*w**2 + 2*h + w**2 - 4*w wrt w?
-46308*h
What is the second derivative of b*o**3 - 9*b*o**2 + 109*b*o - 12*o**3 wrt o?
6*b*o - 18*b - 72*o
What is the second derivative of -u**5 - 184*u**4*v**2 + 807*u*v**2 wrt u?
-20*u**3 - 2208*u**2*v**2
What is the derivative of 203*i**4*l - 2*i**2*l**3 - 10*l**3 + 6 wrt i?
812*i**3*l - 4*i*l**3
Find the third derivative of -18*y**6 - y**5 - 25*y**3 + 27400*y**2 wrt y.
-2160*y**3 - 60*y**2 - 150
Find the third derivative of -5*f**4*v**2 + 2*f**4 - 3*f**3*v**2 + 2*f**2*v + 5*f*v**2 wrt f.
-120*f*v**2 + 48*f - 18*v**2
Differentiate r**3 + 75*r**2 + 239 with respect to r.
3*r**2 + 150*r
What is the third derivative of 2*h**6 + 17*h**4 + 29*h**3 + 2*h**2 + 20*h + 1 wrt h?
240*h**3 + 408*h + 174
What is the second derivative of -p**5 + 9*p**4 - 68*p + 3?
-20*p**3 + 108*p**2
Find the third derivative of 84*k**5 + 2*k**3 + 2*k**2 - 933*k wrt k.
5040*k**2 + 12
What is the second derivative of -22*c**3 - 2*c**2 + 277*c?
-132*c - 4
What is the first derivative of -2*c**3*f - 3*c**3*g + 3*c**2*g - 4*c*f*g - 45*f + 65 wrt f?
-2*c**3 - 4*c*g - 45
Find the third derivative of 1528*q**5 - 1276*q**2 wrt q.
91680*q**2
Differentiate -1312*a*g**3 - 15*g**3 - 7*g**2 with respect to a.
-1312*g**3
Find the second derivative of -5082*r**5 + 29*r + 45.
-101640*r**3
What is the third derivative of -130*q**6 + 2*q**4 - 2*q**3 + 2387*q**2?
-15600*q**3 + 48*q - 12
Find the third derivative of -102*p**3 - 352*p**2 wrt p.
-612
What is the second derivative of -79*f**4*g**2 + 27*f**4 + f*g - 1325*g**2 wrt f?
-948*f**2*g**2 + 324*f**2
Find the third derivative of 2*g*k**5 + g*k**3 + 207*g*k**2 - 6*k**5 wrt k.
120*g*k**2 + 6*g - 360*k**2
Find the first derivative of 11*g*k*w**3 - 6*g*k*w + 3*g*w**2 + 3*k*w**3 - 9*w**3 wrt k.
11*g*w**3 - 6*g*w + 3*w**3
Find the first derivative of 278*n**4 - 2230.
1112*n**3
What is the third derivative of -5*h**5*m + h**4 - 151*h**3*m**2 - 1073*h**2*m - 2*m**2 wrt h?
-300*h**2*m + 24*h - 906*m**2
Differentiate 16*c**2*m + 2051*c**2 + 4*c*m + m**4 with respect to m.
16*c**2 + 4*c + 4*m**3
What is the derivative of 11164*g - 6131?
11164
What is the second derivative of -23*x**3 + 29*x**2 + 2*x - 933 wrt x?
-138*x + 58
Find the third derivative of -2*d*t**4 + 4*d*t**2 - d*t - 2*t**4 - 15*t**3 + 9 wrt t.
-48*d*t - 48*t - 90
Find the third derivative of -26*m**2*n**4 + 2*m**2*n*u - 7*m*n**2*u - 159*m*u + n**5*u - 4*n**3*u wrt n.
-624*m**2*n + 60*n**2*u - 24*u
Differentiate j*o**3*v + j - 68*o**3 - 29*v with respect to o.
3*j*o**2*v - 204*o**2
What is the second derivative of -356*y**5 + 439*y wrt y?
-7120*y**3
What is the third derivative of 175*s**6 - 513*s**2 wrt s?
21000*s**3
What is the second derivative of -6*a*h**4 + 13*a*h**3 + a*h - a wrt h?
-72*a*h**2 + 78*a*h
What is the third derivative of 5*y**4 + 14*y**3 - 709*y**2?
120*y + 84
What is the second derivative of 170*o**2 - 5*o + 129 wrt o?
340
What is the derivative of -3*a**2*d*j + 3*a**2*j - 3*a*d*j**2 - 5*a*j**2*k + 13*d*k + 3*j**2*k wrt d?
-3*a**2*j - 3*a*j**2 + 13*k
Find the first derivative of -4141*s**2 - 3246 wrt s.
-8282*s
Find the second derivative of 254*l**3 - 324*l.
1524*l
Find the second derivative of -1114*d**2 + 17*d.
-2228
What is the third derivative of -3*l**5*z + 112*l**4*z**2 - 7*l**2*z**2 - l*z**2 wrt l?
-180*l**2*z + 2688*l*z**2
Find the second derivative of 425*r**4*t - 15*r**2*t**2 - 9470*r*t**2 - r*t wrt r.
5100*r**2*t - 30*t**2
Find the second derivative of -3*i*o**5*w + 27*i*o**2*w**2 - 2*i*o*w**2 - 3*i*o - 3*i + o wrt o.
-60*i*o**3*w + 54*i*w**2
What is the first derivative of 318*m**4*r**3 + 22*r**3 - 3 wrt m?
1272*m**3*r**3
What is the third derivative of -292*i**3*w**3 + 50*i**3 + 2*i**2*w**3 + 6*i*w**2 + i + 4*w**3 wrt w?
-1752*i**3 + 12*i**2 + 24
What is the second derivative of -16*z**5 - 4*z**4 - z**2 - 6145*z?
-320*z**3 - 48*z**2 - 2
Find the third derivative of -172*x**6 - 762*x**2.
-20640*x**3
Find the third derivative of -138*f**3*x + 13*f**3 + 122*f**2*x - f**2 + x wrt f.
-828*x + 78
Differentiate 964*g**4 - 83 with respect to g.
3856*g**3
Find the third derivative of -1000*g**3 - 2*g**2 - 329*g.
-6000
What is the first derivative of 3568*j**2 + 2330 wrt j?
7136*j
What is the third derivative of -26744*a**5 + 10768*a**2 + 1 wrt a?
-1604640*a**2
Find the first derivative of 13*g**2*n*x + 5*g*n + 2*g*x + 3*n*x - 2*n wrt g.
26*g*n*x + 5*n + 2*x
What is the second derivative of -127*s**2*w**3 - 2*s**2*w - 48*s*w**3 - s + 1 wrt s?
-254*w**3 - 4*w
What is the third derivative of 366*f**3 - 3*f**2 + 7*f?
2196
Find the second derivative of 3*s**4 - 45*s**3 - 1055*s.
36*s**2 - 270*s
Find the first derivative of -923*j**3 - 2*j**2 - 1138.
-2769*j**2 - 4*j
What is the third derivative of -d**5*l**2 + 22*d**4*l**2 - 69*d**2 - d*l**2 wrt d?
-60*d**2*l**2 + 528*d*l**2
Differentiate 19*c**2*p**3*x + 5*c**2*p**3 - 16*c**2*p*x + 149*p**3 wrt x.
19*c**2*p**3 - 16*c**2*p
Find the second derivative of -8*w**5 + 9*w - 3 wrt w.
-160*w**3
Find the second derivative of -d*r**5 - 4*d*r**3 - 7*d - 13*r**2 - r wrt r.
-20*d*r**3 - 24*d*r - 26
Find the third derivative of -2788*j*s**3 + 2*j*s**2 + 15*s**2 + 2*s - 1 wrt s.
-16728*j
Differentiate -6*o**3*r*v - 59*o**3 - o**2*v + 11*o**2 - 11*r**3 - 8*r**2*v + 1 with respect to r.
-6*o**3*v - 33*r**2 - 16*r*v
Differentiate -2*q**3*z**2 + 7*q**3 - 62*q**2*z**2 - 6*q with respect to z.
-4*q**3*z - 124*q**2*z
What is the second derivative of 13993*k**5 + 746*k - 8?
279860*k**3
Find the second derivative of 6*s**2*t**3 + 2*s**2*t - 12*s**2 + 5*s*t**3 - 68*t**3 wrt s.
12*t**3 + 4*t - 24
What is the first derivative of -a*q - 781*a*v - 4*q - 18*v wrt a?
-q - 781*v
What is the second derivative of -214*a**2*p - a*p - p - 3 wrt a?
-428*p
Find the third derivative of -8*f**4*l**3 + 63*f**4*v - f**3*v + 3*f**2*l**2 - 2*f**2*l + 2*f*l**3*v + 14*l**3*v wrt f.
-192*f*l**3 + 1512*f*v - 6*v
What is the third derivative of 2093*b**3*t**2 + 163*b**2 + 7*b*t**2 wrt b?
12558*t**2
Find the first derivative of 76*r - 2117 wrt r.
76
Find the first derivative of -2*a**2 + 7*a + 127 wrt a.
-4*a + 7
Differentiate b*l**2*p - 4*b*l**2 + 3*b*p - 13*b - 4*l**2*p - 9*l*p with respect to l.
2*b*l*p - 8*b*l - 8*l*p - 9*p
What is the second derivative of -1064*k*s**2 - 10*k*s + 10*s wrt s?
-2128*k
Find the second derivative of 105*w**4 + 8*w - 5 wrt w.
1260*w**2
What is the first derivative of -16*b**2*k**2 - 102*b**2 - 3*k**2 wrt k?
-32*b**2*k - 6*k
Find the third derivative of -61*q*w**4 + 137*q*w**2 - 2*q*w + w**3 wrt w.
-1464*q*w + 6
Differentiate 11298*x + 10020 wrt x.
11298
Find the third derivative of -49*f**3*x**3*y**3 + 6*f**3*x**3*y**2 - f**3*x**2*y**2 - 9*f**2*x*y**3 + 10*f*x**2*y**3 - 2*f*x**2 wrt x.
-294*f**3*y**3 + 36*f**3*y**2
What is the second derivative of -25076*s**3 + 1084*s + 5 wrt s?
-150456*s
Find the third derivative of -35*k**4*v + 2*k**3*w**2 - 3*k**2*v*w + 4*k*v*w**2 + 2*v + 2*w wrt k.
-840*k*v + 12*w**2
What is the third derivative of 10*j**2*t**4 + 2*j**2*t**3 + 34*j**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
4*h = -2*r + 76. Let a be (r/(-12) + l)/(-3) - 1. What is the second biggest value in 3/4, -3, a?
a
Let l = 6759.1 + -6759. Let a be (-6)/(-9)*(-2)/4. What is the fourth smallest value in l, a, -1, 5/4?
5/4
Let x = -608 - -607.7. What is the fourth biggest value in 1, -12, -1/7, -5, x?
-5
Let w = 5808.03 - 5808. Which is the second smallest value? (a) -4 (b) w (c) -3/8
c
Let l = 0.9 - -4.1. Let y = -519247/8 + 64906. Which is the smallest value? (a) 0 (b) y (c) l
a
Let q be ((-5)/(-15))/(4/(-6) - 1). Let h = -372 + 372.5. Which is the second biggest value? (a) -3/8 (b) q (c) h
b
Let s = 7.41 - 7.51. What is the fourth smallest value in 0.05, 3/4, -2/7, s?
3/4
Let p = -51 + 25. Let k = p + -12. Let m be 4*k/36 - -4. Which is the second biggest value? (a) m (b) 4 (c) -1
a
Let s = -4363/5 - -17447/20. Let l = 5 - 2. Let u = 1 - 0.8. Which is the fourth biggest value? (a) l (b) s (c) u (d) 5
b
Let s = 2.44 - 19.64. Let z = s + 37.2. Which is the second biggest value? (a) 4 (b) z (c) -0.2 (d) 0.2
a
Let q = 1.96 - -0.04. Let y = -47008 - -47007. What is the third biggest value in y, -3, -11/3, q?
-3
Let h = -396.1 + 396. Let s = 728 - 3636/5. What is the third smallest value in 1/8, s, 4, h?
s
Let k = -0.2 + 0.3. Let c = -1.512 - -1.302. Let r be ((-3)/(-9))/(5/3 - 2). What is the third smallest value in r, c, k?
k
Let z be (-160)/(-4) + (-1)/1. Suppose 0 = z*v - 35*v + 24. Let m be (-6)/30*25/v. What is the third smallest value in -4, 6/13, m?
m
Suppose -x = -0*x. Let y = -924.6 - -919.027. Let s = -0.427 + y. What is the biggest value in x, -3, s?
x
Let g be -2 - ((-7)/3)/1. Suppose -9953*t + 10041*t = 88. Which is the third smallest value? (a) t (b) 143 (c) g
b
Suppose -3*y + 2555*i - 2551*i + 7 = 0, 4*y - 2 = -2*i. Let t = -22 + 17. What is the third smallest value in y, -25, t?
y
Let t = -999 + 1002. What is the fourth smallest value in -3, t, -3/5, 0.099?
t
Let l = -21526 - -21531. Which is the smallest value? (a) 7/3 (b) 0 (c) l (d) 1.5
b
Let d = -4 - -6. Let y be d/(-7) - 80/(-182). Suppose 3*z + 11 = -4*q, 4*q + 7 = 5*z - 28. Which is the second biggest value? (a) y (b) 5 (c) z
c
Let g = -1.663 + 2.363. Which is the fourth smallest value? (a) 0.3 (b) g (c) 4 (d) -0.3
c
Let k = 1041.9 + -1145.9. What is the third smallest value in 0.5, 2/5, k?
0.5
Let o = 19.6 - 9. Which is the fourth biggest value? (a) 0.4 (b) -0.2 (c) o (d) 4
b
Let n(t) = t**3 + 5*t**2 + 8*t + 5. Let p be n(-3). Let l = 2.9758 - 0.0108. Let o = -0.035 - l. Which is the biggest value? (a) o (b) p (c) -1/9 (d) -5
c
Let v = 151 + 3. Let x = v + -142. What is the third biggest value in -1/4, x, -4?
-4
Let z = -0.02886 - 5.97114. What is the second smallest value in z, -0.113, 0?
-0.113
Let g(d) = 28*d + 2. Let o be g(7). Let j = -198 + o. What is the third biggest value in 5, -1, j, -0.3?
-0.3
Let b be 2/12*(-3)/2. Suppose -3*c + 6*c - 19 = -h, -h + 5 = -4*c. What is the fourth smallest value in 6/11, h, b, 3/2?
h
Let w = -5.89 - -6.29. Let p be (-4*(-12)/(-8))/(2 - 0). What is the third biggest value in p, w, 2, 10?
w
Suppose 2*v - 2*q - 11 - 1 = 0, 2*v + 13 = -3*q. Let t be v/1 + (-60)/28. What is the second smallest value in -0.6, t, 2/3?
-0.6
Let s = -120.2 - -120. Let l = 0.89 - 0.39. Which is the third biggest value? (a) 0.1 (b) 14 (c) l (d) s
a
Let o = 0.7 - 4.7. Let m = 0.98 - -7.19. Let u = 8 - m. What is the second biggest value in o, -4/7, u?
-4/7
Let c be (-18)/52 + 1/2. Let w = -3.963 + 4.2. Let t = w - -0.063. What is the second biggest value in 1, -0.1, c, t?
t
Let j = -202.47 + 222.47. Which is the second smallest value? (a) -77 (b) j (c) 2
c
Let h be (-144)/45*(-105)/(-252)*(-6)/(-10). Which is the second biggest value? (a) -2251 (b) 1/2 (c) h
c
Suppose -96 = -216*r + 210*r. Suppose 0 = -22*m + r*m - 30. What is the second biggest value in 3, m, 0, -1/3?
0
Let d = 2 + -1.9. Let r be (((-49500)/(-594))/250)/((-2)/(-6) + -2). Suppose -l + 5*n = -22, -4*n - 3 = -5*l + 2. What is the biggest value in r, l, -8, d?
d
Let t = -0.7 + 0.8. Let i = 1.9 + t. Let s be 833/686 + 6/(-28). Which is the smallest value? (a) s (b) i (c) 5
a
Let l = -2.282 + 2.282. Let h = -19042/35 - -544. What is the third smallest value in l, 6/5, h, -2?
l
Let c = 208 + -201. Let a = -28.9 + 25.9. What is the smallest value in a, c, 2?
a
Let u = 1 + -0.5. Let r = -121 - -113. Let q = r - -7.5. Which is the second smallest value? (a) u (b) 2/5 (c) q
b
Let n be (22/(-385))/(-8*(-12)/224). Which is the third biggest value? (a) 4 (b) 1.683 (c) 0.5 (d) n (e) 2/7
c
Let q = -0.01104 - 0.18896. What is the third smallest value in -2, -5.6, 2/7, 1, q?
q
Let t = -3462.4 + 3462. What is the third smallest value in -3, 3, t, 0.4, -2?
t
Let t = -5.25 - -4.25. Let x = 61 + -60.94. Let f = -1 - -4. Which is the second biggest value? (a) x (b) t (c) f
a
Let b = -262 - -417. Let m be b/(-434)*(-4)/15. What is the second biggest value in -0.5, m, 9?
m
Let d = 39.2 - 36. Let j be ((210/(-49))/(-6))/((-4)/(-14)). Let p = -31/10 + j. Which is the third biggest value? (a) d (b) -5 (c) p
b
Suppose 5*d = -78 - 147. Let z = 51 + d. Let f be 1/6 + 17/z. What is the smallest value in f, -2, -16?
-16
Let u = -0.6329 + -3.3671. Which is the smallest value? (a) -872 (b) 0 (c) -2/11 (d) u
a
Let q(d) = 5*d. Suppose 0 = 5*z + 21 + 4. Let r be (2/10)/((-1)/z). Let o be q(r). Which is the second smallest value? (a) -2/7 (b) 2 (c) o
b
Let p(r) = -2 + 0*r + 7*r**3 + 4*r - 2*r**2 - 2*r**2 - r. Let y be p(1). Which is the smallest value? (a) 17/2 (b) -4/3 (c) y
b
Let t = -40 + -62. Let g = t + 100. Let l = 3 - 2. Which is the second biggest value? (a) g (b) l (c) 2/3 (d) 0.2
c
Let y = 0.197 - 0.407. Let t = -1.21 - y. Which is the third smallest value? (a) t (b) -0.4 (c) 0.108
c
Let x = 0.3592 - -0.6408. Which is the second smallest value? (a) x (b) -4 (c) 2/5 (d) -2/9
d
Let s = 9.19 + -7.69. Let f = 3.03 + -0.03. What is the smallest value in 0.5, s, f, 5?
0.5
Let u be -3*11/(264/56) - (-7 + -2). Let j(z) = -z**2 - 7*z - 7. Let d be j(-5). Which is the second biggest value? (a) u (b) -0.8 (c) d
a
Let p be 1/(-3) + (-16)/(-12). Let o = 104 - 254. Let r = 153 + o. Which is the biggest value? (a) p (b) 2/17 (c) 2 (d) r
d
Let z = -3.6965 + 4.5065. What is the third biggest value in 4, -3, 3/7, -4, z?
3/7
Let j = 21420 + -128519/6. Which is the smallest value? (a) 2 (b) j (c) 160
b
Let f be -13 - (-11)/((-4235)/(-5012)). Which is the third smallest value? (a) -6 (b) -2 (c) f
c
Let v = 7.736 - 8.136. What is the smallest value in 11, -4, v, -5, 7?
-5
Let x = -12.8 - -14. Let d = x + 1.8. Let k = -6/335 - -207/335. Which is the third biggest value? (a) d (b) 3/7 (c) k
b
Let r = 3472 - 6971/2. Which is the fourth biggest value? (a) 1.2 (b) r (c) 4 (d) -2/9
b
Let k = -1/33 + 103/132. Let l = k + -5/4. Let q be ((-1)/11)/(((-50)/(-12))/25). Which is the third biggest value? (a) 2/11 (b) l (c) q
c
Let r = 3 - 2.6. Let j = -212216 - -212221. Which is the smallest value? (a) -0.2 (b) r (c) j (d) 7
a
Let g = -1.99 - -2. Let h = 36889/350265 - 1/18435. What is the fourth biggest value in h, 0.4, -2/33, g?
-2/33
Suppose 2*j = 4*a + 10, a - 24 = -4*j + 23. Suppose j = 10*k - 109. What is the smallest value in k, -2/7, 0?
-2/7
Let f = 652/5 - 131. Let c = -25 + 13. Let i(z) = -z**3 + 5*z**2 + 10*z - 27. Let m be i(6). What is the second biggest value in f, m, c?
m
Let d = 62.7514 - -0.2486. Let t = -0.17 - -2.17. Which is the smallest value? (a) -0.3 (b) t (c) d
a
Let x = 9 - 14. Suppose 143 = 12*v - 49. Suppose 0 = -v*m - 0*m. What is the biggest value in m, x, -1?
m
Let p = 21456.9 - 21457. Let w = -59 - -297/5. Let r = w + 4/15. Which is the biggest value? (a) r (b) p (c) -13
a
Let h = 935.8 - 936. Let s = 3 + -1. Let p be 32/(-10)*(-2)/(-8). What is the second smallest value in s, h, p?
h
Let g = 0.43 - 0.33. Let l = 1451.4 + -1451. What is the third biggest value in g, -0.2, 1, l?
g
Let f(b) = 2*b**2 + 7*b - 9. Let g be f(-3). Let h = 12 + g. What is the biggest value in 18, h, 3, 0.3?
18
Let n = -630/517 + 6/47. Let o = 111 + -111.1. Which is the second smallest value? (a) o (b) n (c) -4
b
Let m = 873.8815 - -0.
|
{
"pile_set_name": "DM Mathematics"
}
|
n be q(c). Solve 7*m - 3*m - 16 = n for m.
4
Let y be (-1)/(-4) + (4 - 135/(-20)). Solve -2*l = -y + 1 for l.
5
Suppose -3*k - 11 = -3*w - w, -w = 2*k - 11. Solve k*g = 1 + 2 for g.
1
Let q = -65 + 65. Solve q = -5*x - 2 + 12 for x.
2
Let y = -39 + 64. Solve -6*w + w = y for w.
-5
Suppose 0 = 3*c - 6 - 0. Solve c*p - 18 = -8 for p.
5
Suppose -3*u + 12 = -0*u. Let w = 7 - u. Let z = 6 + -2. Solve o + z = -w*o for o.
-1
Let d(m) = -5*m - 37. Let u be d(-9). Suppose 2*y = 4*v - 18, -y - 5*v + 6 = 1. Let r = y + 9. Solve -u = -2*s + r*s for s.
-4
Let j(w) = w**2 - 5*w - 3. Let o be j(6). Suppose -3 = -3*i + 9. Suppose -i*q = -2 - 2. Solve 4 = o*t + q for t.
1
Let a be -3 - ((-7)/(-42) - 75/18). Suppose 3*t - 12 = -2*w, 3*w + t - 4 = 6*w. Solve a = u - w for u.
1
Let f be (11/2)/((-2)/(-4)). Let c be (-2)/11 + 2/f. Solve -2*v = -c*v - 6 for v.
3
Let y be 1 - (1 + 1 + -2). Let z be (-2 + (-3)/2)*-2. Suppose 4*r - 5 = z. Solve 4*a - r - y = 0 for a.
1
Suppose -5 = 2*h + 7. Let w = h + 7. Let s be w - (-3)/(-6)*-4. Solve 7*d + s = 4*d for d.
-1
Suppose 26 = -0*m + 5*m + 2*g, -5*m = -2*g - 14. Solve 0*j - 20 = m*j for j.
-5
Let c be ((-6)/7)/((6/(-3))/14). Solve 3*s + c = s for s.
-3
Suppose 0 = -4*q - 19 + 59. Let h be 2/10 - 2/q. Solve h*n = -4*n - 20 for n.
-5
Let d be (-2 - 2)/(-2) - -1. Solve m + 0*m = -d for m.
-3
Let o be (0 - 0 - 0)*(-34)/102. Solve -11*u + 8*u + 12 = o for u.
4
Let x(j) = -7*j - j**2 + 4 - j + j + 4. Let z be x(-8). Solve 6*w - 3*w - 6 = z for w.
2
Let u(y) be the second derivative of -y**5/20 + 3*y**4/4 + y**3/6 - 3*y**2/2 + 2*y. Let d be u(9). Solve m - d = 4*m for m.
-2
Let q = -6 - -13. Suppose 2*l + 1 = l, z - l - q = 0. Solve -2 + z = 4*u for u.
1
Suppose -1 + 6 = 5*p. Suppose 5*l = 4*l + p. Let t = l - -2. Solve t*v + 5 + 7 = 0 for v.
-4
Suppose -2*i + 4*p = -4, -3*i - p = -3*p - 6. Solve -i*j + 7*j = 15 for j.
3
Let l(g) = 2*g**2 - 4*g - 4. Let r be l(4). Let y = 12 - r. Let u be 1*-3*(-1)/1. Solve u = -y*p - 3*p for p.
-1
Suppose 0 = -f - 4*u - 17, 0*f + 2*f + 3*u + 39 = 0. Let v = f - -21. Solve v = 5*g - 0*g for g.
0
Let o(d) = d**3 + d**2 + 9. Let j(g) = g**3 + 5*g**2 - g - 5. Let p be j(-5). Let f be o(p). Suppose -4*b = -2*b - 3*m + 9, -3*m = -f. Solve 3 = -3*x - b for x.
-1
Let r = -2 - -13. Let o = -3 + 8. Solve r + 4 = o*d for d.
3
Let y(o) = o**3 + 2*o**2 - 6*o - 5. Let w be y(-3). Solve -w*k = k for k.
0
Suppose -3*a + 6 = -15. Suppose a - 5 = h. Solve 2*f - h = 3*f for f.
-2
Suppose -3*s = 2*s - 10. Solve 0 = -s*u + 2 + 4 for u.
3
Suppose 0 = -0*o - 2*o - 10. Let k = o - -5. Suppose k*p = -5*p + 15. Solve v = p*v for v.
0
Let l = -5 - -10. Solve -l*p + p - 8 = 0 for p.
-2
Let r = -5 + 8. Suppose -5*l + 5 = 0, -4*l = -2*w - w - 4. Solve r*v = -w*v for v.
0
Let m = -5 + 10. Suppose -18 = -m*q + 32. Let j(p) = -p**2 + 5*p + 8. Let r be j(6). Solve -q + 2 = r*x for x.
-4
Suppose 0*l = -3*l + 12. Solve l*y + 6 = -14 for y.
-5
Let t(q) = q**2 - 14*q + 5. Let c be t(14). Solve c*m - 4 = 11 for m.
3
Let h(a) = a**3 - 4*a**2 - 2*a - 11. Let i be h(5). Solve 0*r - 20 = -i*r for r.
5
Let l = -46 - -49. Solve 0 = -l*j - j for j.
0
Suppose 0 = s - 5*s + 3*f + 21, 0 = -5*s + 2*f + 21. Suppose -5*o = -6*n + n, s*n = -5*o + 40. Solve -4*r + n*r = 1 for r.
1
Let u(z) = z**2 - z + 2. Let n be u(-4). Solve 4*d - 6 = -n for d.
-4
Let b be (2*2/(-12))/(21/(-126)). Solve 3*h + b*h - 5 = 0 for h.
1
Let r = 26 - 26. Solve 0 = -4*f - r*f - 16 for f.
-4
Let r(l) = l**2 - l - 2. Let a be r(-2). Let s = a + 2. Let f = s - 3. Solve f*x + 5 = -7 for x.
-4
Suppose n + 3*n - 20 = 0. Solve -5*l + n = -0 for l.
1
Let n(g) = g**2 - 87*g + 252. Let r be n(3). Suppose 3*h = 75 + 57. Suppose 5*b - h = b. Solve 5*m + b - 31 = r for m.
4
Suppose 6*l + 2*f = 8*l, -3*l = -5*f + 8. Solve -l = 5*z - z for z.
-1
Let d(n) = -n**2 - 10*n + 17. Let w be d(-12). Let r = 5 + w. Let j(s) = -2*s. Let q be j(r). Solve -q*v + 8*v + 20 = 0 for v.
-5
Suppose -3*z = -4*t + 35, 2*t = -5*z - 19 + 4. Suppose -y = t*y. Solve y*u + u + 3 = 0 for u.
-3
Suppose 3*y = 10 + 5. Let w(s) = s**3 - 6*s**2 + 7*s - 4. Let x be w(y). Suppose p + p = x. Solve 2 + p = 5*d for d.
1
Let f = 36 - 31. Solve 2*l - 3*l - f = 0 for l.
-5
Let z be (4/3)/((-5)/(-30)). Let k(v) = v + 7. Let w be k(-3). Solve w*l = z + 4 for l.
3
Let t(n) = -n**2 + 8*n - 4. Suppose -4*j + 28 = -0*j. Let w be t(j). Solve w - 23 = 5*y for y.
-4
Let j(n) = n**2 + 2*n + 3. Let l be j(-4). Solve -3*f - 5 = -l for f.
2
Let m be 10*3/(-3)*-9. Suppose 4*q + 5*a = m, -2*q = -4*a - 0*a - 32. Let u be 3/12 + (-30)/(-8). Solve 8*w - q = u*w for w.
5
Let l(f) = -f**2 + f - 4. Let u(b) = -b**2 + b - 3. Let k(o) = 5*l(o) - 6*u(o). Let h be k(2). Suppose -3*z + h*z = 0. Solve z*s = s + 3 for s.
-3
Suppose -5*f + 5 = 2*w, 3*f - 5*w = -2*f + 40. Solve d - f*d + 6 = 0 for d.
3
Suppose 4*t = -2*i - 32, -4*i + t + 2*t - 108 = 0. Let z be (25/(-15))/(2/i). Solve 2*j + z = -2*j for j.
-5
Let t(x) = -x - 5. Let g be t(-5). Let o = 9 + g. Suppose 0*f = 3*f - o. Solve -f*s - 12 = -0 for s.
-4
Let l be 8 + 2 + 0/(-1). Let c be (-2)/(-6) + (-10)/(-6). Let g be (1 + c + -1)*1. Solve -g*t + 0 = l for t.
-5
Suppose -2*c + 8 = d - 0, 0 = -3*d + 2*c - 8. Solve 2*b + 2*b = d for b.
0
Let s = 42 + -36. Solve -2*v = -s*v - 8 for v.
-2
Let v(g) = g**3 + 3*g**2 - 3*g + 1. Let l be v(-3). Suppose 2 - l = -2*u. Solve -7 = h - u for h.
-3
Suppose 4*u - 87 = -3*q, 3*q - 5*q + 4*u = -38. Suppose 5 = t, t - 3 = 3*d - q. Solve a - d = 4*a for a.
-3
Let a(u) = u**3 + 7*u**2 + 4*u - 6. Let o be a(-6). Solve n - o*n = 0 for n.
0
Suppose -6*d = -d + 5*u, -5*d - 4*u + 5 = 0. Solve 5 + 0 = d*m for m.
1
Let y be (-2 - 4*-1) + -2. Suppose y = -2*p + 9 - 5. Solve -p*m - m - 15 = 0 for m.
-5
Suppose 2*s - c = 39, -3*s + 3*c - 23 = -4*s. Solve u - s = -3*u for u.
5
Let k(j) = j**2 - 8*j + 1. Let n be k(8). Let c = 1 - n. Solve 0 = -c*m - 5*m for m.
0
Let f(w) = -w**2 + w - 5 + 2*w + 6*w. Let m be f(8). Suppose 0 = -5*g - m*j + 18, -4*g = 2*j + 3 - 17. Solve g*n = 4*n for n.
0
Suppose 3*o - 2*o = 2. Let q(a) = -3*a + 1. Let l(r) = -6*r + 2. Let u(g) = -2*l(g) + 5*q(g). Let w be u(-1). Solve o*p = p + w for p.
4
Let h(n) = n**3 + 4*n**2 + 2*n - 1. Let x = 8 + -3. Let t(w) = w - 7. Let b be t(x). Let i be h(b). Solve i*y + y = -8 for y.
-2
Let m(p) = p**3 - 8*p**2 + 2*p - 3. Let h(c) = c - 1. Let q(k) = 3*h(k) - m(k). Let r be q(8). Solve 5*f + r = -7 for f.
-3
Let f be 0/(-2)*3/(-6). Let i = -15 - -16. Solve i + f = -x for x.
-1
Let s(m) = m + 2 - m**3 + m**2 + 3*m**2 - 3. Let h be s(4). Solve -h*d + 7 = -2 for d.
3
Let a(o) = -o + 10. Let c be a(6). Suppose -5*p = -f + 2, 5*p = -c*f + 3*p + 8. Solve 0 = 2*j + f for j.
-1
Let f be (2/(-6))/(1/(-3)). Let a be -7 - -10 - (f - 2). Suppose -4 = c + 2*d - 3*d, 2*c + d = a. Solve 25 = -c*k - 5*k for k.
-5
Let h(a) = -a**2 - 11*a - 6. Let w be h(-10). Solve l = -0*l + w for l.
4
Let y(u) = u. Let z(c) be the second derivative of 5*c**2 + 3*c. Let a(i) = -y(i) + z(i). Let f be a(7). Solve f*q - 2*q = 5 for q.
5
Let x(i) = -i + 4. Let a be x(-2). Solve h = 3*h + a for h.
-3
Let l(v) = 20*v**2 - 1. Let s be l(-1). Let g = s - 3. Solve 0 = -6*h + 2*h - g for h.
-4
Let k = -13 - -19. Suppose 0*s - 8*s + 2*s = 0. Solve -5*m + k - 21 = s for m.
-3
Let y(h) = h**3 - 4*h**2 - h - 1. Let x be y(3). Let b = x + 19. Solve -4*t - b + 14 = 0 for t.
2
Let c be 2 + -5 + 1 + 2. Solve c = f + f for f.
0
Suppose -2*l + l = 0. Suppose 2*z - z = l. Solve z = -d - 0*d + 5 for d.
5
Let k = -18 - -31. Solve 3*m - k = -1 for m.
4
Let x(w) = w - 4. Let n be x(4). Solve n = -2*s - s for s.
0
Let u be ((-42)/9)/(6/9). Let c = -6 - u. Let p be 2*c/(1/1). Solve 0 = p*f - 7*f - 25 for f.
-5
Suppose -3*a = 14 - 23. Solve 12 = -a*y - 0 for y.
-4
Let m(i) = 9*i**3 - 1. Let a be m(1). Let g(x) = -x + 14. Let s be g(a). Solve -5*w - s = 9 for w.
-3
Let t be (1 - 1) + 16/(-4). Let a be 33/(-12) - (-1)/t. Let m = 6 + a. Solve m*h + 4 = 4*h for h.
4
Suppose q = -5*y - 11, -27 = -3*q + 3*y + 2*y. Let l be -2*2/q*-4. Solve -l*m + 9*m - 10 = 0 for m.
2
Suppose 16 = 6*q - 80. Let j be q/32 + 62/4. Suppose -4*n = n - f - 36, -n + 3*f = -10. Solve n*y = 3*y - j for y.
-4
Let n(k) = -6*k - 16. Let b be n(-3). Let h be 5*-1*2/(-5). Solve h*s + b = s for s.
-2
Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
be the first derivative of -d**4/4 + 4*d**3/3 + 2. Find the third derivative of w(v) wrt v.
-6
Let x(q) be the third derivative of 13*q**7/210 - 7*q**3/3 + 13*q**2. Differentiate x(m) with respect to m.
52*m**3
Find the second derivative of -8*g + 0*g + 12*g + 13*g**2 wrt g.
26
Let n = 8 - 8. Find the second derivative of 0*i**4 - 2*i**5 + n*i**4 + 4*i wrt i.
-40*i**3
Let z be 2 - 4/(-6)*-3. Find the second derivative of a - 4*a + z*a**2 + 2*a**2 wrt a.
4
Let p = -1 + 0. Let i(q) = -2*q. Let r be i(p). What is the third derivative of 3*a**2 + 3*a**2 - a**2 - 3*a**r + 3*a**4 wrt a?
72*a
What is the first derivative of 1227*t**2 - 5*t**3 + 10 + 3*t**3 - 1227*t**2 + 13*t wrt t?
-6*t**2 + 13
Suppose -2 = w - 2*w. Suppose -2*d - 2*u + 16 = 0, -w*d + 5*u - 13 - 6 = 0. Find the third derivative of -2*r**2 - 2*r**6 + d*r**6 - r**2 wrt r.
120*r**3
What is the first derivative of 100*v + 95*v - 295*v + 114*v - 14 wrt v?
14
Let k(g) = -11*g**2 + 23*g + g**3 - 6 + 6. Let z(b) = 4*b**2 - 8*b. Let l(t) = -4*k(t) - 11*z(t). Find the second derivative of l(m) wrt m.
-24*m
Suppose 3*r = 2*m + 19, 0*m + 22 = 3*r + m. What is the derivative of 19*u**3 - 19*u**3 + 7*u**4 - r wrt u?
28*u**3
Let s(i) be the first derivative of -5*i**6/2 - 20*i**3/3 + 9. What is the third derivative of s(c) wrt c?
-900*c**2
Suppose -s + 4*d + 16 = 0, 4*d - d + 9 = 0. Suppose c - s = -3. Differentiate 0 + x + 1 - 1 + c wrt x.
1
Suppose l + 4*l = 15. Suppose l*u - 8*u + 15 = 0. Find the second derivative of 3*d**5 + 4*d - 2 + 2 - u*d wrt d.
60*d**3
Suppose 5*m - 15 = 0, 4*m = -3*o + 1 + 11. Let b(w) be the second derivative of -1/6*w**4 + 0 + w + o*w**3 + w**2. Find the first derivative of b(r) wrt r.
-4*r
Differentiate 32 + 13 + 5501*n**4 - 5526*n**4 with respect to n.
-100*n**3
Find the second derivative of -7*d - 343*d**3 + 343*d**3 + 7*d**4 wrt d.
84*d**2
Let m(r) = -r. Let s be m(-5). Differentiate 3 + v + v - s wrt v.
2
Let v(q) = 11*q**3 - 2*q**2 + 39*q - 2. Let f(g) = -33*g**3 + 7*g**2 - 117*g + 7. Let h(t) = 2*f(t) + 7*v(t). What is the second derivative of h(k) wrt k?
66*k
Let c be 1 + 3 + (0 - 0). Let q be c/12 + 14/3. Find the first derivative of 2*m**3 - 4 + 4 + 3 - q wrt m.
6*m**2
Let z(k) = k**2 + k + 1. Let w be 6/4*2/3. Let h(x) = 13*x**2 + 7*x + 6. Let d(s) = w*h(s) - 6*z(s). What is the second derivative of d(f) wrt f?
14
What is the first derivative of 11*l + 8 - 3*l - 11 wrt l?
8
Let h(j) be the second derivative of -j**7/70 + j**4/12 - 3*j**2/2 + 2*j. Let x(i) be the first derivative of h(i). What is the second derivative of x(l) wrt l?
-36*l**2
Let t(b) be the second derivative of -b**7/7 + 3*b**4/4 + 7*b. Find the third derivative of t(u) wrt u.
-360*u**2
Suppose 3 = -3*g + 9. Suppose g*z - 6*z = -3*o + 12, o = 2*z + 4. Find the third derivative of 4*i**5 + 37*i**3 - o*i**2 - 37*i**3 wrt i.
240*i**2
Let i(o) be the third derivative of -o**8/1680 + o**5/60 - o**4/4 - 2*o**2. Let l(c) be the second derivative of i(c). Differentiate l(t) wrt t.
-12*t**2
Let t(a) be the third derivative of 7*a**2 + 0*a**4 + 0 - 1/60*a**5 + 7/6*a**3 + 0*a. Differentiate t(y) wrt y.
-2*y
What is the derivative of 4 - 5 + i**2 + 4 - 2*i**2 wrt i?
-2*i
Find the second derivative of 19*v**5 + 38*v + 8*v**5 - 2*v**5 - v**5 wrt v.
480*v**3
Let b(c) = 0*c**2 - c - 4 + c**2 - c + 4*c. Let k be b(-4). What is the second derivative of s + 4*s + 0*s**k - 2*s - 3*s**4 wrt s?
-36*s**2
What is the first derivative of -15*c + 19*c + 38*c + 38 wrt c?
42
Suppose 1 = -4*l - 7. Let v = l - -3. Find the first derivative of 2*j + 1 + v - 4*j wrt j.
-2
Suppose -i + 134 = 5*y, 2*y + 4*i = i + 64. Suppose 4*z - y = -10. What is the derivative of 2*w**z + 2*w**4 - 18*w**2 + 4 + 18*w**2 wrt w?
16*w**3
Let i = 10 - 10. Differentiate 2*d + i*d + 0*d - 2 - 4*d wrt d.
-2
Let y be (1/(-3))/((-3)/18). What is the third derivative of -6*i**2 - 18*i**5 + 16*i**5 + 2*i**y wrt i?
-120*i**2
Let d = 5 + -3. Find the second derivative of -2*v**2 + d*v**3 + 2*v + 4*v**2 - 2*v**2 wrt v.
12*v
What is the first derivative of 30*f**3 + 0 - 6 - 23*f**3 wrt f?
21*f**2
Let h(v) = v**3 - v**2 + v + 3. Let y be h(0). Suppose -10 = -y*m + 8. Find the third derivative of d**2 + m - 6 - 2*d**4 wrt d.
-48*d
Let x(r) = -7*r**4 - 2*r**2 - 11. Let u(b) = -27*b**4 - 9*b**2 - 44. Let s(n) = -2*u(n) + 9*x(n). Find the first derivative of s(q) wrt q.
-36*q**3
Suppose 3*p - 2*b = 5 - 1, 4*p + 2 = -b. Find the second derivative of 8*g**2 - 5*g - 4*g**2 + p*g wrt g.
8
Let t(p) = -63*p**2 + p - 8. Let w(h) = 188*h**2 - 3*h + 23. Let f(i) = -7*t(i) - 2*w(i). What is the second derivative of f(d) wrt d?
130
Let n(r) = 2*r**2 + 3*r. Let g be n(-2). Find the third derivative of 5*q**4 - 4*q**2 - 2*q**4 + 0*q**g wrt q.
72*q
Let t be 14/4 + (-9)/6. Let b be (-1)/t*(-12)/3. What is the first derivative of 1 + 4*g**b + g - g wrt g?
8*g
Let g(w) = -w - 9. Let f be g(-11). Suppose -3*z + f = -1. Differentiate 2 + 0 + t - z with respect to t.
1
Find the second derivative of 443*d**2 + 4*d + 13*d - 463*d**2 wrt d.
-40
Suppose 2 = i - 3. Let k(q) = -7 + 2 - 4*q - 1 + i*q. Let g(h) = h - 7. Let s(y) = -3*g(y) + 4*k(y). Differentiate s(d) wrt d.
1
Let b(u) be the third derivative of 4*u**5/15 - u**4/6 - 21*u**2. What is the second derivative of b(h) wrt h?
32
Let s(l) be the second derivative of 2*l - 1/12*l**4 + 0 + l**3 + 0*l**2. Find the second derivative of s(j) wrt j.
-2
Let h(w) = 1 + w**2 + w + 3*w - 4*w + 5*w. Let l(n) = -2*n - 1. Let b = 0 - -5. Let c(z) = b*l(z) + 2*h(z). Differentiate c(i) with respect to i.
4*i
Let y(f) = -32*f**2 - 17. Let b(j) = 31*j**2 + 16. Let a(t) = -6*b(t) - 5*y(t). What is the derivative of a(c) wrt c?
-52*c
What is the third derivative of 6*n**2 - 20*n**2 + 9*n**5 - 17*n**5 wrt n?
-480*n**2
Let k(l) be the first derivative of -2*l - 2 + 0*l**3 - 3/4*l**4 + 0*l**2. What is the derivative of k(j) wrt j?
-9*j**2
Let z(x) = -4*x**3 - 8*x**2 + 3*x - 3. Let n(o) = 8*o**3 + 15*o**2 - 5*o + 5. Let j(f) = 3*n(f) + 5*z(f). Find the third derivative of j(p) wrt p.
24
Let v(y) = y**2 + 9*y + 11. Let r be v(-8). Find the second derivative of -r*j - j**3 + 5*j - 5*j wrt j.
-6*j
Find the second derivative of 4*x**5 - 2*x - 2*x + 8*x wrt x.
80*x**3
Let b(p) be the second derivative of -p + 0 + 3/10*p**5 + 4*p**2 + 0*p**4 + 0*p**3. Differentiate b(v) wrt v.
18*v**2
Find the third derivative of 3*c**4 - 6*c**2 + 0*c**4 + 12*c**2 wrt c.
72*c
Let s = -9 + 15. Differentiate -2 - 369*g**2 + 369*g**2 - s*g**3 with respect to g.
-18*g**2
Let b(m) be the second derivative of m**7/70 - 5*m**4/24 + m**2/2 - 4*m. Let k(d) be the first derivative of b(d). Find the second derivative of k(l) wrt l.
36*l**2
Let x(f) be the first derivative of 5*f**2/2 + 5. Let o(b) = -b**2. Let n(r) = -6*o(r) - x(r). What is the second derivative of n(y) wrt y?
12
Let d be ((-2)/(-1))/((-2)/(-4)). What is the third derivative of 3*l**2 - l**d - 4*l**6 - 4*l**6 + l**4 wrt l?
-960*l**3
Let x(c) = -18*c - 1. Let q be x(-2). Let j be 8/(-5)*q/(-14). Find the first derivative of 4*b + b**j - 3*b - b + 1 wrt b.
4*b**3
Let w(i) = i - 1. Let q(f) = -5*f**2 - f + 22. Let v(s) = -q(s) + w(s). What is the first derivative of v(r) wrt r?
10*r + 2
Let k(d) be the second derivative of d**7/1260 + d**5/24 - d**4/6 - 4*d. Let v(w) be the third derivative of k(w). Differentiate v(h) with respect to h.
4*h
Let k(x) = 9*x**4 - 5*x**3 - 5*x**2 - 19. Let d(z) = -18*z**4 + 9*z**3 + 9*z**2 + 39. Let s(p) = 5*d(p) + 9*k(p). Differentiate s(a) wrt a.
-36*a**3
Let n(i) = -i**3 - 5*i**2 + 8*i + 4. Let g be n(-6). Let s = 11 + g. What is the first derivative of 8*y**2 - 8*y**2 - 2 + 2*y**s wrt y?
6*y**2
Let n(z) = -3*z**2 - 3. Let g(a) = -5*a**2 - 5. Let l(h) = -5*g(h) + 8*n(h). Find the first derivative of l(i) wrt i.
2*i
Suppose -4*y - 23 + 7 = 0. Let t(u) = -u**2 - 2. Suppose -2*b = -9 + 3. Let o(l) = -2. Let f(c) = b*t(c) + y*o(c). Find the first derivative of f(z) wrt z.
-6*z
What is the derivative of -10 - 13*h**4 - h**4 - 1 - 4*h**4 wrt h?
-72*h**3
Let c(n) = 39*n**2 + 9*n - 57. Let w(x) = -19*x**2 - 5*x + 28. Let q(k) = -5*c(k) - 9*w(k). What is the first derivative of q(p) wrt p?
-48*p
Find the first derivative of 15 + 5 - 46*s + 29 + s wrt s.
-45
Let p(k) = -21*k + 15. Let i(c) = 10*
|
{
"pile_set_name": "DM Mathematics"
}
|
*j + 98408*j**2.
j**3 + 78268*j**2
Collect the terms in 85384*j + 39995*j**3 - 85384*j.
39995*j**3
Collect the terms in -3*g + 162 + 76 - 415 + 91 + 86.
-3*g
Collect the terms in 11*p + 1007*p**2 - 929*p**2 - 31*p + 20*p.
78*p**2
Collect the terms in 9711*a + 9753*a - 41*a**2 - 38978*a + 9756*a + 9761*a.
-41*a**2 + 3*a
Collect the terms in v - 1646 - 1520 + 3190.
v + 24
Collect the terms in -452942*r - 452957*r + 905920*r.
21*r
Collect the terms in 47*i**3 + 37 + 14 + 44*i**3 - 138*i**3 + 41*i**3.
-6*i**3 + 51
Collect the terms in -114*v**2 + 7844900161 - 7844900161.
-114*v**2
Collect the terms in -109*x + 124*x + 6*x**3 + 2 - 9*x**3.
-3*x**3 + 15*x + 2
Collect the terms in -2504379 + 8*y**3 + 2*y**3 - 13*y**3 + 5*y**3 + 2504379.
2*y**3
Collect the terms in -s - 5*s + 9*s - 5*s + 3*s - 18830.
s - 18830
Collect the terms in 30719*v - 63764*v - 70046*v - 918*v.
-104009*v
Collect the terms in 2044*v - 4276*v + 2453*v.
221*v
Collect the terms in -30*o + 5 - 3 - 4 + 6277*o**2.
6277*o**2 - 30*o - 2
Collect the terms in 2311861*z + 10*z**2 + 11*z**2 - 2311834*z - 20*z**2.
z**2 + 27*z
Collect the terms in 1028002*t**3 - 490 + 490.
1028002*t**3
Collect the terms in -1823*k**3 + 1484*k**3 + 0*k**2 + 0*k**2 + 1151*k**3.
812*k**3
Collect the terms in -8*w**2 - 378723*w - 378870*w + 757593*w.
-8*w**2
Collect the terms in 2208*u**3 + 1718*u**3 - 1048*u**3.
2878*u**3
Collect the terms in -83*a**3 + 412*a + 16*a**3 - 412*a + 38*a**3 + 14*a**3.
-15*a**3
Collect the terms in -8*b**2 - 1517*b - 53*b + 1570*b + 10*b**2.
2*b**2
Collect the terms in -1650*b**2 - 183*b + 781*b**2 + 834*b**2.
-35*b**2 - 183*b
Collect the terms in -259369 - 259376 + 518745 - 7*i**3.
-7*i**3
Collect the terms in 2313403*y + 2 + 2313402*y - 4626823*y.
-18*y + 2
Collect the terms in 360 + 160616*m**2 - 165 - 160612*m**2 - 195.
4*m**2
Collect the terms in 2*p + 927 - 296 - 329 - 257.
2*p + 45
Collect the terms in 973*k + 1000*k + 991*k - 3008*k.
-44*k
Collect the terms in 2*w**3 - 212 - 13*w + 21492417*w**2 - 21492417*w**2.
2*w**3 - 13*w - 212
Collect the terms in 119 + 254*p + 462*p + 225*p.
941*p + 119
Collect the terms in 4 - 10 + 3 + 6 + 13*t**3 - 2045*t + 1884*t.
13*t**3 - 161*t + 3
Collect the terms in 678 + 682 - 802 + 679 - 14*f - 1237.
-14*f
Collect the terms in -5095 - 5092 + 15288 - 5101 + 53*u.
53*u
Collect the terms in 218*w - 1036*w**3 - 695*w**3 - 1 - 108*w - 109*w.
-1731*w**3 + w - 1
Collect the terms in 63155*y - 2 - 39054*y + 2.
24101*y
Collect the terms in 739*r + 2*r**3 - 4*r**3 + 133*r + 164*r - r**2.
-2*r**3 - r**2 + 1036*r
Collect the terms in -33*w + 6*w + 27*w - 9282*w**2.
-9282*w**2
Collect the terms in 549*y + 560*y - 3330*y + 555*y + 546*y + 564*y + 555*y.
-y
Collect the terms in -1108108*m - 9024852*m + 2 - 20394590*m.
-30527550*m + 2
Collect the terms in -58842 - 4*b - 2218*b**2 + 2*b + 2216*b**2.
-2*b**2 - 2*b - 58842
Collect the terms in -14577*l + 4848*l + 4893*l + 4876*l.
40*l
Collect the terms in -132 - 494*o + o**2 + 534*o**3 + 494*o.
534*o**3 + o**2 - 132
Collect the terms in 646 - 17*x + 915 + 638 - 2199.
-17*x
Collect the terms in 3 - 151*l - 464*l - 171*l + 12.
-786*l + 15
Collect the terms in -390*d - 534*d - 489*d - 31*d - 834*d.
-2278*d
Collect the terms in -1 - 24730*m + 49455*m - 24725*m - m**2 - 377*m**3.
-377*m**3 - m**2 - 1
Collect the terms in 4818*x**2 + 50341*x + 296*x**2 - 50341*x + 1790*x**2.
6904*x**2
Collect the terms in 12874*k**3 - 3*k + 3*k + 42696*k**3.
55570*k**3
Collect the terms in 20*x**2 - 14*x**2 - 1206*x**3 + 3605*x**3 - 6*x**2.
2399*x**3
Collect the terms in 8*o**3 + 305734210175 - 305734210175.
8*o**3
Collect the terms in -54 + 38*m - 19*m - 12*m - 9*m + 46.
-2*m - 8
Collect the terms in -2925*f**2 + 6560 - 1554*f**2 - 6560.
-4479*f**2
Collect the terms in -30*w**2 - 225*w + 5*w**2 + 11*w**2 + 2*w**2.
-12*w**2 - 225*w
Collect the terms in 5*c**2 - 2*c**2 + c - c**2 + 2895 - 2890 - 5*c**2.
-3*c**2 + c + 5
Collect the terms in -271*m + 260*m - 5216562 + 5216564.
-11*m + 2
Collect the terms in -31*k**3 - 443*k + 443*k - 816 + 1788 - 972.
-31*k**3
Collect the terms in 5 - 6 - 15 + 9*d**3 - 18*d**3 - 4.
-9*d**3 - 20
Collect the terms in 2*j**2 + 19310 - 942820 + 27397.
2*j**2 - 896113
Collect the terms in 33*a - 327*a**3 - 33*a + 4911*a**3.
4584*a**3
Collect the terms in 113*v + 116*v - 16 - 12 + 43 - 15 - 225*v.
4*v
Collect the terms in 210*l - 892*l + 3 + 230*l + 219*l + 237*l.
4*l + 3
Collect the terms in 11028576*g + 11028579*g - 33085627*g + 11028472*g - 4*g**3.
-4*g**3
Collect the terms in -8 + 87 + 59 - 28 + 56*a.
56*a + 110
Collect the terms in 976648*r**3 - 488525*r**3 - 488066*r**3 + 1.
57*r**3 + 1
Collect the terms in -12165 + 5650 + 23*t**2 - 13485 - 2*t.
23*t**2 - 2*t - 20000
Collect the terms in -4 + 15049*l - 1 - 9 + 13.
15049*l - 1
Collect the terms in -11820*q + 3987*q - 27209*q.
-35042*q
Collect the terms in -311277187215*v**3 - 311277187213*v**3 + 622554374431*v**3.
3*v**3
Collect the terms in 1 + 16536041*n - 16536874*n - 1.
-833*n
Collect the terms in 105*o + 189*o + 172*o - 689*o + 91*o.
-132*o
Collect the terms in -2820*d + 1564*d + 1710*d.
454*d
Collect the terms in 2*l - 2*l - 6*l**2 - 8762 + 17522 - 11*l**2 - 8762.
-17*l**2 - 2
Collect the terms in 229*x**3 + 102*x**3 + 5*x**2 - 167*x**3.
164*x**3 + 5*x**2
Collect the terms in -91*x**3 + 237 + 208 - 5*x**3 - 2*x**2 + 16*x**2 - 446.
-96*x**3 + 14*x**2 - 1
Collect the terms in -59*h**3 - 364702*h**2 + 364702*h**2.
-59*h**3
Collect the terms in 32266085 + c - 10755211 - 10755437 - 10755437.
c
Collect the terms in 477*r + 79439 - 39721 - 39718.
477*r
Collect the terms in 536*i**3 - 2 - 274*i**3 + i**2 - 273*i**3 + 57*i.
-11*i**3 + i**2 + 57*i - 2
Collect the terms in 32810*a**2 + 29172 - a - 29172.
32810*a**2 - a
Collect the terms in -43*n**3 - 719051 - 719074 + 1438125 + n**3.
-42*n**3
Collect the terms in -13184 - 13349 - 151*y + 26533.
-151*y
Collect the terms in -599 + 1144 - 545 - 951*k.
-951*k
Collect the terms in -9351 + 7*i**3 + 9344 - 5*i**3 + 8*i**3.
10*i**3 - 7
Collect the terms in 2*a - 3*a**2 + 197*a**3 - 336*a**3 + 900*a**3 + 6*a**2.
761*a**3 + 3*a**2 + 2*a
Collect the terms in -3177127132 + 3177127132 - 6*i**3 + i**3.
-5*i**3
Collect the terms in -30 + 35172*g**2 - 49927*g**2 + 16 + 14.
-14755*g**2
Collect the terms in 2441*n - n**2 + 2439*n + 2443*n - 9759*n + 2437*n.
-n**2 + n
Collect the terms in -d - d + 0*d + d - 82714 - 111734.
-d - 194448
Collect the terms in -244*i**2 + 70*i**2 - 1197 + 598 + 599.
-174*i**2
Collect the terms in -24311164717*y + 6*y**3 + 24311164717*y.
6*y**3
Collect the terms in -2798*l + 1405*l - 20*l**2 + 1393*l.
-20*l**2
Collect the terms in 146 - 18838651575*v**2 + 18838651573*v**2 - 146.
-2*v**2
Collect the terms in -356*t**2 - 532*t**3 - 550*t**3 - 534*t**3 - 2541*t**2 + 1665*t**3.
49*t**3 - 2897*t**2
Collect the terms in -15601285*o + 15601285*o - 18*o**2 + 42.
-18*o**2 + 42
Collect the terms in 537*m**3 + 549*m**3 - 1073*m**3 - 828*m**3 - 1349*m**3.
-2164*m**3
Collect the terms in o**2 + 1174654 - 2349304 + 1174652 - 2*o**2.
-o**2 + 2
Collect the terms in 32*f - 869 - 25*f - 468.
7*f - 1337
Collect the terms in 184*f**3 - 930*f**3 + 18*f**2 + 178*f**3 + 560*f**3.
-8*f**3 + 18*f**2
Collect the terms in 85 - 85026047*d**2 + 85026054*d**2 - 85.
7*d**2
Collect the terms in 1830*u**3 + 42*u**3 - 1141*u**3 + 2262*u**3.
2993*u**3
Collect the terms in -192270 - 20105*y**3 + 192270.
-20105*y**3
Collect the terms in -946 + 1813 - 867 - 17*u**3 - 3*u.
-17*u**3 - 3*u
Collect the terms in -163 + 50 - 13*a**3 + 2*a**3 + 58 + 55.
-11*a**3
Collect the terms in 6970*y**3 + 1265*y**3 - 1710*y + 1709*y.
8235*y**3 - y
Collect the terms in -1014017*v - 1013946*v + 2027969*v.
6*v
Collect the terms in -2*u + 124*u**2 + 175*u**2 - 4*u + 6*u - 287*u**2.
12*u**2
Collect the terms in -7*g + 7*g - 7650*g**2 + 3983*g**2 + 3663*g**2 + 29.
-4*g**2 + 29
Collect the terms in -t + 36*t - 2151*t**2 - 35*t.
-2151*t**2
Collect the terms in 26*l**3 + 426*l - 425*l - 29*l**3.
-3*l**3 + l
Collect the terms in 818*p + 5 - 1621*p - 5 + 824*p + 0.
21*p
Collect the terms in 1250 + 1257 + 1251 + 1079*c**2 - 3758 + 5752*c**2.
6831*c**2
Collect the terms in -2 - 84 - 75 - x + 161 + 5*x + 276*x**2.
276*x**2 + 4*x
Collect the terms in 154*a + 269*a**2
|
{
"pile_set_name": "DM Mathematics"
}
|
cement from rrrkkrkkkkrrr.
42/143
Calculate prob of picking 1 c and 2 t when three letters picked without replacement from {z: 4, e: 1, t: 2, c: 3, o: 2}.
3/220
Calculate prob of picking 1 k and 2 n when three letters picked without replacement from ljjnjnsnjnnssnnk.
3/80
Four letters picked without replacement from pppppppeep. What is prob of picking 4 p?
1/3
What is prob of picking 1 b and 2 r when three letters picked without replacement from bbbbbrbbbobroobbrbbo?
13/380
Two letters picked without replacement from rrrvvrrvttv. Give prob of picking 2 v.
6/55
Three letters picked without replacement from xxxyybqqqyxyl. Give prob of picking 1 y and 2 l.
0
What is prob of picking 2 u when two letters picked without replacement from gwugqpxu?
1/28
Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {r: 4, b: 2, z: 1, m: 1, t: 2}.
8/45
Three letters picked without replacement from {u: 17, g: 1}. What is prob of picking 1 g and 2 u?
1/6
Four letters picked without replacement from {l: 8, e: 4, g: 4}. Give prob of picking 3 l and 1 e.
8/65
Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {w: 8, v: 5, r: 5, k: 1}.
40/171
What is prob of picking 3 x when three letters picked without replacement from xxxzxxxxzzxzz?
28/143
What is prob of picking 1 j and 2 u when three letters picked without replacement from {v: 1, j: 2, m: 5, u: 8}?
1/10
What is prob of picking 1 x and 1 h when two letters picked without replacement from {h: 4, x: 1, s: 2, z: 1}?
1/7
Two letters picked without replacement from kkopo. What is prob of picking 1 p and 1 k?
1/5
Calculate prob of picking 1 s, 1 p, and 1 f when three letters picked without replacement from {m: 2, f: 7, s: 4, p: 2, r: 1}.
1/10
What is prob of picking 1 x and 1 y when two letters picked without replacement from yyrxc?
1/5
Two letters picked without replacement from {u: 1, b: 1, s: 1, e: 1, h: 1}. What is prob of picking 1 u and 1 e?
1/10
Calculate prob of picking 2 u and 2 i when four letters picked without replacement from {z: 4, i: 10, n: 1, u: 3}.
3/68
Calculate prob of picking 2 a when two letters picked without replacement from aaaaaaa.
1
Three letters picked without replacement from ooooeoogoeg. What is prob of picking 1 o and 2 g?
7/165
Calculate prob of picking 2 l when two letters picked without replacement from {l: 6, z: 8, j: 1, n: 1}.
1/8
Three letters picked without replacement from drkrkrrrrdrrkkrkrrk. Give prob of picking 2 k and 1 d.
10/323
Calculate prob of picking 1 g and 2 s when three letters picked without replacement from llgllgsggsl.
4/165
What is prob of picking 1 w and 2 y when three letters picked without replacement from ntnnywttnwy?
2/165
What is prob of picking 2 p when two letters picked without replacement from {p: 3, x: 8}?
3/55
What is prob of picking 2 m when two letters picked without replacement from {h: 1, l: 1, m: 2}?
1/6
What is prob of picking 3 f and 1 a when four letters picked without replacement from ffffffafaffa?
28/55
What is prob of picking 3 x and 1 e when four letters picked without replacement from xeuxeeuxxxxxuue?
4/39
What is prob of picking 2 h when two letters picked without replacement from {j: 2, h: 2, r: 11}?
1/105
Three letters picked without replacement from emxemmxeeeeemxmamx. Give prob of picking 1 a, 1 x, and 1 e.
7/204
Calculate prob of picking 1 u and 2 s when three letters picked without replacement from {b: 5, h: 4, u: 6, s: 1}.
0
Calculate prob of picking 2 k when two letters picked without replacement from {c: 3, k: 15}.
35/51
Three letters picked without replacement from lllolllllllo. Give prob of picking 1 o and 2 l.
9/22
Three letters picked without replacement from {u: 15, v: 3}. Give prob of picking 2 v and 1 u.
15/272
What is prob of picking 1 d and 1 m when two letters picked without replacement from mmmmmmdmmmmmmmmmmmmm?
1/10
What is prob of picking 1 a and 1 g when two letters picked without replacement from {i: 4, a: 2, g: 3, y: 6}?
2/35
What is prob of picking 1 m, 1 z, and 2 f when four letters picked without replacement from amlazaaafmlzf?
4/715
What is prob of picking 4 d when four letters picked without replacement from {d: 7, r: 5, i: 6, y: 1}?
35/3876
Calculate prob of picking 2 n and 2 j when four letters picked without replacement from {j: 9, n: 2}.
6/55
What is prob of picking 3 t and 1 w when four letters picked without replacement from {w: 5, t: 9}?
60/143
Two letters picked without replacement from xelllllxllxleelllll. What is prob of picking 1 e and 1 l?
13/57
Three letters picked without replacement from ddsdsdssddssdsdddsss. Give prob of picking 1 d and 2 s.
15/38
What is prob of picking 1 m and 1 j when two letters picked without replacement from yymuuuymjmu?
3/55
What is prob of picking 2 l and 1 n when three letters picked without replacement from nlnlnlnxnnl?
12/55
What is prob of picking 2 c when two letters picked without replacement from ddddtcddddddd?
0
What is prob of picking 3 b when three letters picked without replacement from {v: 2, b: 5}?
2/7
What is prob of picking 1 i and 2 j when three letters picked without replacement from iiiijiiiiij?
3/55
Calculate prob of picking 2 r and 2 w when four letters picked without replacement from {r: 9, w: 2}.
6/55
Two letters picked without replacement from voolqoqoivqvoooonl. What is prob of picking 1 v and 1 i?
1/51
What is prob of picking 4 n when four letters picked without replacement from {o: 5, a: 3, z: 1, n: 6}?
1/91
Calculate prob of picking 2 k and 1 b when three letters picked without replacement from bbkbkkbbbkkbbbkkbkk.
120/323
Three letters picked without replacement from dokkodhkhowwwhww. Give prob of picking 1 h, 1 k, and 1 o.
27/560
Two letters picked without replacement from {k: 6, n: 1, g: 1, c: 3, z: 2}. Give prob of picking 1 g and 1 c.
1/26
Three letters picked without replacement from ffofmffffkkmfqoffom. What is prob of picking 1 q, 1 m, and 1 o?
3/323
Two letters picked without replacement from {a: 2, d: 1, w: 1, x: 1, k: 2}. Give prob of picking 1 d and 1 x.
1/21
Two letters picked without replacement from {r: 4, k: 5, a: 5}. Give prob of picking 2 k.
10/91
Four letters picked without replacement from rseiwsijj. What is prob of picking 2 i, 1 e, and 1 w?
1/126
What is prob of picking 1 y and 1 x when two letters picked without replacement from {x: 1, a: 2, y: 1}?
1/6
What is prob of picking 4 y when four letters picked without replacement from {c: 5, y: 8}?
14/143
Three letters picked without replacement from lssllznnunnsllslnrsn. Give prob of picking 1 u, 1 s, and 1 n.
1/38
Two letters picked without replacement from ubppppuuppuuppppppb. What is prob of picking 2 b?
1/171
Calculate prob of picking 1 d, 1 p, and 2 v when four letters picked without replacement from qvdvdvpqdvd.
4/55
Two letters picked without replacement from rrjsshjshsrsrrnj. What is prob of picking 1 h and 1 n?
1/60
Calculate prob of picking 2 z when two letters picked without replacement from zrrzrrrrrrz.
3/55
Two letters picked without replacement from rweotwrttrm. Give prob of picking 2 r.
3/55
What is prob of picking 4 o when four letters picked without replacement from {x: 1, o: 4, w: 2}?
1/35
What is prob of picking 1 a, 2 q, and 1 h when four letters picked without replacement from {y: 4, b: 3, a: 2, q: 2, h: 2, i: 1}?
4/1001
Calculate prob of picking 2 k when two letters picked without replacement from {x: 3, k: 4}.
2/7
What is prob of picking 1 f and 1 z when two letters picked without replacement from {p: 1, z: 1, f: 3, b: 2}?
1/7
What is prob of picking 2 z when two letters picked without replacement from zzazdxxdz?
1/6
Two letters picked without replacement from {j: 1, w: 3, h: 1}. Give prob of picking 2 w.
3/10
Two letters picked without replacement from nneuunnnnnnnnn. What is prob of picking 2 n?
55/91
Four letters picked without replacement from {v: 4, x: 6, p: 2, j: 4, m: 2, r: 2}. What is prob of picking 2 x, 1 j, and 1 p?
8/323
What is prob of picking 1 n, 2 y, and 1 m when four letters picked without replacement from {w: 3, u: 3, n: 2, m: 3, y: 2}?
6/715
Calculate prob of picking 1 l and 1 o when two letters picked without replacement from llooloo.
4/7
Two letters picked witho
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - -3 - (-3 + 8))?
4
9 - 2 - (-8 + 14)
1
2 + -6 + 9 + -6 + 2
1
Calculate -1 + (-8 - -6) + 1.
-2
(-3 - 1) + -6 - (-1 + -5)
-4
Calculate (-1 - 2) + 3 + 4 - 4.
0
-90 + 92 - (-1 - 2)
5
What is the value of 9 - (11 + -8 - -8)?
-2
What is -6 + -9 + 4 + 7?
-4
What is the value of -5 - 0 - (1 + -4 + 2)?
-4
Evaluate 4 + 3 + -6 + 1.
2
Calculate 3 + -4 + 1 - 1.
-1
What is 13 + (-1 + -2 - 16)?
-6
Calculate -39 + 37 - (0 - 1).
-1
Evaluate (-3 - -1) + 6 + 3 + -8.
-1
What is the value of (4 - (-1 + 1)) + -7?
-3
Evaluate 1 + 2 - (1 + 3 - 5).
4
Evaluate 18 - 32 - (-3 - 1).
-10
What is the value of 3 + (4 - -1) + -2 + -2?
4
What is 2 + (0 - -1 - 0) - 1?
2
Calculate -3 - (-1 + (3 + 3 - 3)).
-5
What is -1 - 5 - (-44 + 47)?
-9
What is the value of (0 - -7) + -3 - -1?
5
Evaluate (-1 - 0) + (10 - 14).
-5
Evaluate 15 + 1 + -6 + -10.
0
What is the value of (5 + -9 - 2) + 2 + 12?
8
Evaluate 2 + -7 + 1 + (0 - 0).
-4
4 - (4 - (1 - 1))
0
Calculate 13 + -16 - 7 - -8.
-2
Evaluate (3 - (-3 + 3)) + 0.
3
What is the value of -4 + 7 + 0 + -1?
2
7 + (8 - 7 - 10)
-2
What is the value of -10 - (4 - 6 - 6)?
-2
What is the value of (1 - 4 - -4) + 1 - -2?
4
What is (-2 - 0 - -4) + -6?
-4
-1 + 1 + 1 + 4
5
Evaluate 8 - 9 - ((-1 - 1) + -2).
3
Calculate 58 - 53 - (-5 - (0 - 2)).
8
What is -14 + 1 - (-35 - -27)?
-5
What is 6 - (2 + (2 - 0) + -6)?
8
What is -4 + (2 - (6 - 3))?
-5
-2 - (-1 - 1) - -4
4
Evaluate (-3 + 2 - 6 - -4) + 1.
-2
(1 - ((3 - 2) + -1)) + -4
-3
What is the value of 2 - (-4 + 2 - -1 - -2)?
1
2 - (-4 - -12 - 3)
-3
What is the value of -3 - -6 - (6 - 2)?
-1
Evaluate -3 - (-3 - -5) - (1 + -3).
-3
What is the value of 19 + -10 + -3 + 3?
9
Evaluate (10 - (15 - 12)) + -12.
-5
What is the value of -3 + (2 - ((-2 - -2) + 0))?
-1
What is -2 + (-2 - (0 + -7))?
3
Calculate 16 + -10 - (7 - (-2 + -2)).
-5
Calculate (-3 - -9 - 8) + 6.
4
-8 - -3 - (0 + 0 + -2)
-3
Calculate 1 + -10 - (6 - (15 - 5)).
-5
1 + 11 - (8 - 2)
6
Evaluate 14 + -2 - (6 + -1 - 1).
8
What is 3 + -6 + 2 + 3 + -2?
0
-13 - (13 + -18 + 2)
-10
0 - (-5 - -9) - (6 + -6)
-4
19 + (-2 - 6 - 3)
8
Calculate (5 - 2) + -4 + (5 - 5).
-1
Calculate 1 + -9 + (13 - -2) + -14.
-7
Evaluate 6 + (2 - (-1 - -4)) + 1.
6
What is (-3 - 3) + (4 - (-3 - -2))?
-1
What is the value of -12 + 5 + 2 + -1?
-6
What is the value of 6 + (-14 - -10) - (4 - -1)?
-3
-4 + (-4 - -4 - (-9 + 5))
0
Evaluate 1 + -2 - -2 - (11 - 6).
-4
Evaluate -8 + ((9 - 5) + -4 - -3).
-5
What is the value of -17 + 11 - (-3 + 1)?
-4
Calculate 0 - (-11 + 15) - 3.
-7
Calculate (-23 - (9 + -22)) + 6 + -1.
-5
-10 - -4 - (0 + -4)
-2
Evaluate -2 + (3 - -4) + -9 + 1.
-3
What is 2 - 0 - (-1 - -2 - -1)?
0
Evaluate (-4 + 6 - 3) + 4.
3
What is the value of 0 + 1 + (16 - 14)?
3
What is 7 - 6 - (0 + -2)?
3
What is the value of (-2 - 1) + (3 - (2 + 0))?
-2
Calculate 2 + (52 + -60 - (-1 + 4)).
-9
What is the value of 9 - ((1 - 5) + 5)?
8
2 + 4 - (6 + (0 - -6))
-6
What is -6 - (-2 - 4) - -6?
6
What is -6 + 15 + 1 + -5 + -6?
-1
((-6 - -3) + 6 - -2) + -9
-4
Evaluate -12 - (-19 + (20 - 10)).
-3
What is the value of (1 - (6 + -1) - -3) + 5?
4
5 + -6 - (1 + -5) - -1
4
What is -4 + -4 + 5 - 1?
-4
2 - (-1 + -4 + 3)
4
What is 2 + -2 - (6 + -10)?
4
Evaluate (-124 - -124) + (7 - (1 - 3)).
9
Evaluate -5 - (1 - 9) - (1 - 0).
2
What is the value of (3 - 3) + 2 + 1 + 2?
5
What is the value of (1 - (-2 + 0) - 3) + -7?
-7
What is (17 - 9) + -17 - -10?
1
What is -2 + 1 + 1 + (51 - 50)?
1
Calculate 3 + -6 + (-10 - -13) + -7.
-7
What is the value of 3 + (-1 - -2) + 10 + -10?
4
What is the value of 4 + -6 - (-5 + 0)?
3
What is the value of 4 + -1 + -4 + (1 - -3)?
3
What is the value of 4 + (-16 - (-6 - 2))?
-4
Calculate (-10 - -4) + (10 - -1) + 0.
5
What is -1 + 4 + (2 + -12 - -8)?
1
What is -9 - (-1 - (5 - 4 - -1))?
-6
Calculate (-1 - -4) + -6 + (2 - -4).
3
Calculate 11 + (-1 - -7 - 12).
5
(10 - 3) + -5 + -2 + 4
4
What is the value of -1 + 1 - (-6 - -2)?
4
(-67 - -63) + (-3 - (-3 - -2))
-6
What is the value of (-9 - -3 - -1) + 9?
4
What is (3 - -1) + (-4 - -5)?
5
What is the value of (8 - (1 + 0)) + 3 + -16?
-6
What is the value of (-3 - -6 - 8) + 5 + -3?
-3
What is the value of (5 - 14) + 2 - -14?
7
(-9 + 2 + 11 - 14) + 2
-8
Evaluate 4 + (-7 - -10) - 4.
3
(2 - 6 - -8) + 1
5
Evaluate 2 + 4 - (0 + -3).
9
-1 + 0 + 1 + 1
1
What is -16 - -22 - ((-1 - -1) + 8)?
-2
What is the value of -3 + 7 + 1 + (-2 - 3)?
0
What is the value of (-9 - -8) + (-2 - -2)?
-1
Evaluate 1 + (-2 + 4 - 6) + 8.
5
Evaluate -5 - -21 - (1 - -7).
8
Calculate -4 + (7 - 2 - 4) + 2.
-1
What is the value of 4 + -2 + 3 - 3?
2
Evaluate (-8 - 3) + 1 + 7.
-3
-3 + -1 + (0 - 5) + 12
3
What is -1 - (1 - 1 - (11 + -10))?
0
What is -10 - -2 - (0 + -6)?
-2
What is the value of -1 - (-10 + 11 - (1 + 4))?
3
Evaluate 5 + -2 + (2 - -1) + 1.
7
What is -6 - ((-5 - -1) + 3)?
-5
What is the value of (0 - (-5 - -4)) + 7 + -11?
-3
-4 + 8 - (-1 + 6)
-1
Evaluate 13 + -4 + 3 + -4.
8
(-12 - -5 - 0) + (6 - -7)
6
Calculate -7 - (21 + -11 + -16).
-1
Calculate -1 - (-2 + 7 - 4) - -1.
-1
What is the value of (-7 - -2) + 2 - (1 - 5)?
1
What is the value of -3 + (2 + -5 - -1)?
-5
Calculate 5 + 3 + -10 + 6.
4
Calculate -6 + 5 + (-2 - (-4 - -5)).
-4
Evaluate (2 - -11) + (-4 - (6 + -2)).
5
What is (13 - 11) + 2 + 0 + -1?
3
1 + 2 - 3 - 4
-4
What is 0 + (-3 - 1) + 6?
2
-4 + -9 + 16 - (1 - -6)
-4
Calculate 0 - (-5 + (6 + -8 - 0)).
7
What is the value of (7 - 7) + (3 - 2)?
1
4 + -6 + 3 - -1 - -4
6
6 - (2 - -1) - (-6 - -11)
-2
Evaluate (5 - (7 + -3 - 1)) + 2.
4
What is 31 + -22 - (7 - (2 + -1))?
3
Evaluate -3 + -8 + 4 + 4.
-3
What is the value of 9 + (-1 - ((-2 - -8) + -1))?
3
What is the value of 7 + -2 + -14 + 0 - -5?
-4
Evaluate 1 + -2 - (-10 + 5) - 4.
0
Evaluate 7 + -5 - 5 - -2.
-1
What is 3 + -1 + (3 - 4)?
1
Evaluate (4 + -6 - 2) + 1.
-3
2 - 0 - (-20 + 6 - -15)
1
Evaluate (-4 - -8) + (6 + -3 - 7).
0
What is (8 - 1) + (-64 - -60)?
3
What is the value of 2 + (-17 + 5 - -17)?
7
Evaluate 0 - (-11 + (0 - -5)) - 13.
-7
Evaluate -11 - (-7 - -6 - (-2 + 2)).
-10
What is 1 - (-8 - -5 - 6)?
10
Evaluate 5 + (5 - 6) - 2.
2
Calculate 7 + 8 + -6 - 7.
2
What is -6 + 2 + (6 - 5)?
-3
What is -8 + 2 + (7 - -6) + -7?
0
Calculate -4 + 4 + 4 + -3 + 3.
4
Calculate -1 + -2 - (5 - 14 - -4).
2
What is the value of ((-4 - -13) + -3 - 4) + 0?
2
Evaluate 13 + (3 - 8) - 1.
7
What is the value of 0 - -3 - (2 + (7 - 2))?
-4
Calculate 3 + (-12 - -3) + 3 + 2.
-1
What is -1 + (-5 - -8 - -1)?
3
Evaluate -3 - -2 - (-7 - -1).
5
What is the value of (0 - -4) + -8 + 7?
3
What is -1 + 1 + (-34 - -37) + 1?
4
What is the value of 5 + (-6 + -4 - -5)?
0
(0 - -4) + (0 + -8 - -5)
1
2 - (5 + -8) - 3
2
Evaluate -1 + (-7 - (3 + -14)).
3
Calculate (-5 - (1 - 2 - 7)) + 0.
3
Calculate 2 - (-4 + 8) - (-6 + 1).
3
Calculate 8 + -1 - (1 - -3).
3
Evaluate -18 + (3 - -21) + (-12 - -1).
-5
What is the value of (2 - (2 + 2)) + 6?
4
Calculate 13 + -6 + 8 + 3 + -9.
9
What is 7 + -9 + 6 + (-3 - 0)?
1
What is 1 + (-4 - (10 + (-8 - -2)))?
-7
What is the value of (-2 - (-6 + 1)) + 2?
5
Calculate 4 - (11 + -11) - 9.
-5
Calculate -1 + (-2 + 3 - (3 - 1)).
-2
Calculate 1 + -3 + 2 + -6 + 3.
-3
31 + -39 + 4 + -1
-5
Calculate 1 - ((-3 - -5) + -3 - 1).
3
(0 - (8 + -4) - -5) + -7
-6
0 + (-3 - -9 - (-2 - -5))
3
Evaluate -2 + (4 - -2) + -1 + 4.
7
Calculate -17 + (-9 - -18) - 0.
-8
Evaluate (10 - (8 - 4)) + -2.
4
Calculate 0 + (1 - -1 - (-2 + 8)).
-4
Calculate 4 + 0 - (-5 + 6 + -2).
5
-3 + (-7 - (2 + -18))
6
What is the value of 4 + -4 + -3 + -3 - -1?
-5
What is the value of -1 + (5 - 5 - (-2 + 0))?
1
Calculate -36 + 33 + -1 + 0 + -1.
-5
What is 1 + 5 + (-20 - -10)?
-4
Evaluate 10 + 2 + -13 - 6.
-7
Calculate (2 - -3) + -4 - (0 - 5).
6
Evaluate (-5 - -18) + -6 + -10.
-3
Evaluate 9 + -4 + 2 + -2.
5
What is 1 - (11 + (1 - 9))?
-2
(4 - (3 + -1)) + -1
1
Evaluate (-5 - 2) + (3 - 3).
-7
What is the value of 10 - (-5 - (-9 + 7 + -3))?
10
Evaluate -6 - (-12 - (2 + -7)).
1
What is 1 - 0 - (-7 - -7)?
1
(-8 - -1) + (-4 - -3) + 4
-4
-2 + 8 + 0 + -6
0
-1 + -1 - ((-6 - -5) + 0)
-1
7 - ((-1 - 5) + 7) - 4
2
Calculate -1 + (4 + -10 - -3) + 0.
-4
What is 1 + (7 - 3) + 1 + -4?
2
-3 + (1 - 1) - (15 + -17)
-1
What is the value of -2 + (1 - 0) - (4 - 3)?
-2
Calculate 4 + -6 - (-6 + 4 - 3).
3
1 + -1 + -1 + 14 + -18
-5
Calculate -7 + (-2 - -5) + 3.
-1
Evaluate -10 - -7 - 4 - -6.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
e 2*b - 6 = -2*u, -2*b + 3*b = f*u + 8. Suppose 0*s - s - 2 = 0. Which is smaller: u or s?
s
Let a be (6 + 280/(-15))*6/2. Let f be (-2)/6*(-18)/a. Is 0 at most f?
False
Suppose -1058*m - 15768 = -1067*m. Is m at most as big as 1751?
False
Let q = 335 + -336. Which is greater: q or 3/394?
3/394
Let u(i) = 15*i + 225. Let b be u(-15). Let y be ((-14)/6)/((-1)/3). Suppose w = -y - b. Is 1 >= w?
True
Let z(y) = -y**3 - 2*y**2 + 4*y. Let i be z(-4). Let c = 37 - i. Let w be ((-14)/c)/((-6)/(-9)). Is 4/11 less than w?
False
Let h = 1013/168 - 35/24. Let g = 6 - 0. Which is smaller: g or h?
h
Let w = 3 + -1. Suppose w*l - 5 = -31. Is l at least -12?
False
Let h(x) = x + 23. Let m be h(-31). Let c = -1 + 3. Let s be (1 + c)*32/(-12). Is m at most as big as s?
True
Let y(r) = -r**3 - 14*r**2 - 14*r - 1. Let n be y(-15). Suppose -238 - n = 7*k. Which is bigger: k or -95?
-95
Suppose 0 = -2*d + x, -4*x - 6 = 4*d - 9*x. Let y = -2/1221819 - 153134066/355549329. Let c = -4/291 + y. Is d at most as big as c?
False
Let c = -10 + 6. Let h = -659/180 + -1/180. Is h > c?
True
Let v be 9/5 + 2 + -3. Let o be 16/(-40) - 12/(-5). Suppose -2*z + o = -0*z. Is z at most v?
False
Let v(t) = 3*t**2 + 24*t + 51. Let s be v(-6). Is s > 33?
False
Let l = 294/25 - -987/50. Which is smaller: 32 or l?
l
Let g be (-10)/24 - (-18)/24. Let i = 0 + 2. Let o = 2 - i. Which is smaller: o or g?
o
Let l = 2164 + -2165. Which is smaller: -13/7 or l?
-13/7
Let w = 1331 - 1358. Which is bigger: -129/5 or w?
-129/5
Let p be (-6)/(-63)*(-6)/(-8)*-6. Is p bigger than 3?
False
Suppose 39*s - 66 = 45*s. Does 10 = s?
False
Suppose -3*q + 175 = 592. Let s = -738 + 599. Is s < q?
False
Let b = -26 - -23.5. Let j = -0.6 - b. Let s = 19.1 + j. Is -1/4 >= s?
False
Let s be -48 - (0 - 0/(-3)). Let w = 37 + s. Is w less than -10?
True
Let b(o) = -2*o**3 + 29*o**2 - 39*o + 44. Let w be b(13). Which is smaller: 0 or w?
0
Let f = 13 - 41. Let m be (40/f)/(-5) + 29/(-77). Suppose g + 7 = -3*d, -5*g = -0*d + d + 7. Is m > g?
True
Let v(n) = n**2 + n - 6. Let d(p) = -2*p**2 - 3*p + 13. Let g(a) = 3*d(a) + 7*v(a). Let x be g(3). Is -2 bigger than x?
False
Let l be -4 - ((-1 - -2) + -1). Let f be (-135)/140 + l/14. Let m(h) = 4*h + 4. Let g be m(-1). Which is greater: f or g?
g
Let b = 23.051 - 0.051. Let w = b - 24. Do w and -6 have the same value?
False
Suppose 106*l - 2 = 107*l. Is 137 less than l?
False
Let k = 26.1 + -5.1. Let u = -22 + k. Let n = 4.4 - 1.4. Are n and u non-equal?
True
Suppose 0 = 4*g + 4*b - 356, 7*b - 356 = -4*g + 11*b. Which is smaller: 93 or g?
g
Let j = 158.1 - 159. Is -23 greater than j?
False
Let t = -20 - -11. Let x be t*-2*(-5)/(-15). Is x != 4?
True
Let y be (-199)/(-2) + 65/26 + 2. Which is smaller: y or 0.2?
0.2
Let o = 6011/235 + -128/5. Which is smaller: o or 0.2?
o
Let l be (6/4)/((-54)/(-72)). Suppose 0 = 6*t - 9*t - l*t. Is -3/5 at most as big as t?
True
Suppose -4*x = -w + 5 - 6, 0 = -5*x + w. Let p = 2364/13 - 182. Which is bigger: x or p?
p
Let u be 3 + 0 + 11 + -18. Which is smaller: u or -7?
-7
Let c = -11 + 13. Let m = -2 + c. Let q = 0.98 + -1. Is q at most as big as m?
True
Let c = 14 - 10. Suppose -3*y - 5 = -c*y. Suppose -5 = y*n + 5*a, -2*n = -0*n + 3*a + 4. Is n not equal to 1/19?
True
Let x = 0 + -6. Let i = x - -6. Let d = -17.96 + 18. Which is smaller: i or d?
i
Let x = 0.0065 - 26.9835. Let v = 0.023 - x. Do v and 1/2 have the same value?
False
Let b be 17/34 + (-213)/(-2). Which is bigger: 109 or b?
109
Let c = -43685/7 - -6368. Let o = c + -127. Let i = 0.3 + -0.4. Is i equal to o?
False
Suppose 8*z + 1470 + 306 = 0. Is z at most -221?
True
Suppose -21 = 18*t - 75. Suppose -3*c = -c + 4. Let o be (c + 1)*0 + 2. Are o and t non-equal?
True
Let y(z) = 19*z**2 - z - 1. Let v be y(2). Let i = -23/93 + 34153/465. Let f = v - i. Is 3 bigger than f?
True
Let d be -3 + (1 - -1) - -2. Let r be -6*(2 - -2 - d). Let o = r + 86/5. Is o >= 0?
False
Let l = -0.9 - -0.6. Let d be (6/(-10))/(2802/2810 - 1). Let o = d + -210. Which is smaller: l or o?
l
Let s be 2/(-12) - 25/(-6). Suppose 2*w + 6 = 0, 8*u = 6*u - 2*w - s. Is -2/21 at most u?
True
Let m be 10/(-65) - 244/(-234). Which is greater: m or 2?
2
Let a be 123/1*(-6)/(-9). Suppose 889 + 311 = 15*o. Does o = a?
False
Suppose 4*t = -5*x - 2, -7 = 4*t + 5. Suppose -13*f + 11*f - 4 = 0. Which is greater: x or f?
x
Let f(k) = k**3 - 7*k**2 - 6*k + 9. Let b be f(7). Let h be b/22*(-16)/6. Suppose 4*j = -4, -h*a + j + 6 = a. Which is smaller: a or 15?
a
Let j = -1283/3 + 9383/21. Let p = 19 - j. Which is greater: p or -1?
p
Let c = -199 - -199.1. Which is greater: -2/19 or c?
c
Suppose 2*p + 3*j = 6*j + 7, -2*j = p - 7. Suppose -6*s - 3*s + 495 = 0. Suppose 5*d + 4*r - s = 0, -d - p*r = 2*d - 46. Are 7 and d unequal?
False
Suppose 2*d - 2 = 2*o - 0, 5*o - 2*d = 4. Suppose 4*r = o*x + 16, 2*x + 3*x + 32 = 2*r. Suppose -5*v + 25 = -10*v. Is v > x?
True
Let n(v) = 4*v - 10. Let c be n(7). Suppose -c = -l - 20. Let f = l - -6. Is 3 greater than f?
False
Let j be 14/10 - (45/25 - 2). Which is bigger: 1 or j?
j
Let m = 7.51 - -523.49. Which is smaller: 1 or m?
1
Let t = -20 + 20.3. Let l = -2.7 - t. Is l greater than -7?
True
Let w(t) = 3*t**3 - 16*t**2 - 9*t - 19. Let r be w(6). Which is smaller: r or 86?
r
Let d = 729/2 - 365. Are -9.2 and d unequal?
True
Suppose -4*y - 74 = a, -75 = 4*a + y + 191. Let o = 67 + a. Which is bigger: -2/75 or o?
o
Let y = -2/425473 + 136577281/95305952. Let w = -9/32 - y. Suppose -14*m + 5*m - 9 = 0. Which is smaller: w or m?
w
Let y = -0.6 + -0.4. Let g = y + 3. Are g and -0.1 equal?
False
Let x = -233927/120720 - -2/7545. Which is smaller: 0.1 or x?
x
Let d = 90015846/2641 - 34084. Is d > -1?
True
Let t = -23 + 39. Let u = 22 - t. Which is bigger: u or 2/7?
u
Let r be (1635/(-45) - -37)/((-3)/(54/4)). Let b be (1/(-2))/(52/288). Which is smaller: b or r?
r
Let w be 2379/13871 + 4/(-22). Which is smaller: w or 1?
w
Suppose 0 = -4*g + 8*g - 8. Suppose 54 = g*u - 5*u. Is u not equal to -18?
False
Let u = 46 - 43. Which is smaller: 7 or u?
u
Let i be (227/36)/(3/9). Let s = i + -91/4. Is -4 less than s?
True
Suppose 0 = 66*t - 19019 + 101849. Is -1256 at least as big as t?
False
Suppose -4*r + 3*r + 8 = 4*p, -18 = -2*p - 4*r. Let b be ((-1)/(-2))/(p/(-2)). Let y be b/3 - 0/(-1). Which is smaller: 4/9 or y?
y
Let s = -1/32039 + 65421/43028377. Which is smaller: -1 or s?
-1
Let d(q) be the third derivative of -5*q**4/24 - 41*q**3/6 - 8*q**2. Let b be d(-16). Which is greater: b or 0.1?
b
Suppose -5*j = -j - 5*c + 129, 4*c = 20. Let b be (j/(-4))/(1/(-2)). Let k = b - -8. Is k < -5?
False
Let k = 21 - 44. Let g = -9 - k. Let n = 3/8 + -1/8. Which is greater: g or n?
g
Suppose -5*l + 1109 = 3*w, -3*w - 599 - 52 = -3*l. Is 221 smaller than l?
False
Let h = -3.2 + 3.02. Which is bigger: h or 0.2?
0.2
Let x(w) = 7*w**3 - 2*w**2 + w. Let q be x(1). Let d be 12/(5/10 + 1). Suppose 0*v + 17 = v + 4*n, -4*v = -4*n - d. Is v > q?
False
Let w be 2/(-6) - 150/(-18). Suppose 0 = 6*r - 80 + w. Is 12 > r?
False
Suppose -38 = -x + 2*b, -x - 3*x - 4*b = -116. Suppose 6*w - x = 2*w. Is w at most as big as 9?
True
Let n be 68*(-5)/(-60)*15. Is n <= 89?
True
Suppose 8*o = 3*o. Let d be (3 - 3)*(o + -1). Let n be (-1 - -5)*6/(-84). Is n at most d?
True
Let y(m) = 7*m**2 + 2*m. Suppose -5*v - 3*w + 11 = 0, -3*w + 0*w = 9. Suppose o + 3*p = -o - v, -5*p = -5*o + 15. Let c be y(o). Is c smaller than 1?
False
Let d be 1/((13/26)/((-6)/4)). Let r be -1*(-7)/(-14) - d/10. Suppose 2*x + 5 = -3*x. Which is smaller: r or x?
x
Suppose 0 = -5*j - l + 36, -4*j + 5*l = -2*j - 36. Let c(m) = 3*m - 2 - 3 - 2 - 2*m. Let i be c(j). Which is smaller: i or 1/13?
1/13
Suppose 4*s + 3*h = s + 66, -s + 14 = -h. Suppose 5 = 3*q - f - 3, 4*q - 5*f - s = 0. Are q and 1/2 equal?
False
Let d = 47257 - 853093/18. Let r = -137 - d. Let i(u) = -u**2 + 5*u + 1. Let y be i(5). Is y >= r?
True
Let g be 1/(-4) - (-246)/24. Suppose -2*v + g = -7*v, 3*o = -5*v - 382. Let u = o - -239/2. Is -4 != u?
True
Let s be (-1)/(-1 + 1435)*-8. Which is smaller: s or -1?
-1
Let q = -11 + 14. Suppose 5*u - 36 = -q*h, 3*h - 5 = 4*u + 4. Suppose -11 + h = 4*l. Which is smaller: -28 or l?
-28
Suppose 0 = -4*a + 9 - 5. Let i be 2/(-4)*(-1 + a). Suppose i = x -
|
{
"pile_set_name": "DM Mathematics"
}
|
ed by u.
14
Suppose -8*i + 193 - 49 = 0. Suppose y + 12 = p + 2*p, -3*y = -p + 4. Calculate the remainder when i is divided by p.
2
Let v = 349 - 345. Suppose 2*n = -4*l + 4, l - 10 = -5*n - 4*l. Suppose n*y - 25 = -3*y. Calculate the remainder when y is divided by v.
1
Let t = 6546 + -6470. Let u = 92 - 148. Let l = u + t. What is the remainder when 97 is divided by l?
17
Suppose 2*o + j + 22 = 0, 4*o + 4*j + 0*j = -40. Let z(b) = 13*b**2 + 138*b + 14. What is the remainder when z(o) is divided by 8?
6
Let i(g) = g**3 + 9*g**2 - 10*g + 7. Let k be i(-10). Suppose -5*d - k*d = -204. Calculate the remainder when 60 is divided by d.
9
Let t = 10972 - 10895. Calculate the remainder when 268 is divided by t.
37
Let l(t) = -t**2 + 10*t + 20. Let p be l(10). Let f = p + -93. Let n = 163 + f. What is the remainder when n is divided by 23?
21
Suppose 5*i - 2 = 4*i. Suppose -x - 11 = -i*x. What is the remainder when 86 is divided by x?
9
Suppose -5*m = -2*b - 0*b + 864, 164 = -m - 4*b. Let f = m - -62. Let p = f - -156. Calculate the remainder when p is divided by 12.
10
Let r be (-3)/9*((1 - 70) + 0). Let o = r + -20. Suppose -o*p + 4*j = -p - 64, j + 70 = 2*p. Calculate the remainder when p is divided by 8.
4
Let d(s) = 12*s + 5. Let n be (12/15)/(2/30*3). Let m = n + 7. What is the remainder when d(5) is divided by m?
10
Suppose 241*b + 346*b - 10075 = -188*b. Let o(q) = 674*q**2 + q. Calculate the remainder when o(-1) is divided by b.
10
Suppose -47*h - 585 = -52*h. Let a = -107 + h. Let s(d) = 6*d. What is the remainder when s(9) is divided by a?
4
Suppose 0 = -2*n - 2*r + 53 - 163, 2*n + 5*r = -98. Let z = 84 + n. Let o(u) = -u**2 - 19*u - 41. Calculate the remainder when z is divided by o(-16).
4
Let s = -3 - -6. Suppose 3*a - 90 = 9*y, -11*y + 9*y + 65 = 5*a. Calculate the remainder when s/(2/(-76)*-2) is divided by a.
12
Let g = 5123 - 5111. Calculate the remainder when 4739 is divided by g.
11
Suppose -63 - 408 = -3*j. Suppose -31*h + 1795 = 152. What is the remainder when j is divided by h?
51
Let b = 15258 - 14689. What is the remainder when b is divided by 184?
17
Suppose 0 = -27*s + 706 - 166. Calculate the remainder when 74 is divided by s.
14
Let n = -58 + 94. Let y = n + 20. What is the remainder when y is divided by 21?
14
Let g = 67 + -70. Let y be (18 - 21)*(-1)/((-1)/g). Suppose -4*i = -y*i + 370. What is the remainder when i is divided by 38?
36
Suppose 3*w - 18 = -l + 879, 1177 = 4*w - 5*l. Calculate the remainder when w is divided by 146.
6
Let r(n) = 2*n**2 - 543*n + 4293. Calculate the remainder when 435 is divided by r(8).
50
Let q(x) = x**2 + x - 76. Let w be q(0). Let v = 604 + -625. Let f = v - w. Calculate the remainder when f is divided by 29.
26
Let q = 59 + -145. Suppose 4*i = -2*s + 66, -3*s + 16 = 4*i - 81. What is the remainder when q/(-3)*(-345)/(-46) is divided by s?
29
Let z(h) = -22*h - 588. Calculate the remainder when 513 is divided by z(-29).
13
Let d = -1635 - -1780. Let n be (-21)/(-4) + (-2)/8. Let p(v) = v**2 + v + 7. What is the remainder when d is divided by p(n)?
34
Suppose -248*t - 6846 = -411*t. What is the remainder when t is divided by 15?
12
Suppose w + 4 = -1. Let i(p) be the third derivative of -p**4/8 + 65*p**3/6 + 34*p**2 - 39*p. What is the remainder when i(w) is divided by 18?
8
Suppose 321*h + 12 = 324*h. Suppose h*x + 52 = 4*b - 124, 0 = 3*b - x - 138. What is the remainder when 421 is divided by b?
45
What is the remainder when 2/(-19) - (-42880)/152 is divided by 27?
12
Let k(r) = -3*r**2 - 111*r + 139. Calculate the remainder when 1849 is divided by k(-38).
24
Let c(s) = -s**3 - 17*s**2 - 8*s + 116. Calculate the remainder when 514 is divided by c(-17).
10
Let w(o) = -15*o + 83. Let v be ((-2)/(-6))/(4 + (-423)/108). Let k(y) = -y + 89. Calculate the remainder when k(0) is divided by w(v).
20
Let i(p) be the second derivative of p**5/20 - 4*p**4/3 + 13*p**3/3 + 53*p**2/2 + p + 7. Calculate the remainder when 89 is divided by i(14).
14
Suppose -w = r - 33, -5*r - w = 2*w - 173. Suppose 0 = -g - 4*p + 169, p = -2*g - 0*p + 338. Let t = 179 - g. What is the remainder when r is divided by t?
7
Calculate the remainder when 0 + -4 - (1475/(-5) - -6) is divided by 33.
21
Suppose -8*t + 4223 = 3*x - 12*t, -7*t - 4220 = -3*x. Calculate the remainder when x is divided by 290.
249
Let j = -1097 + 3135. Calculate the remainder when j is divided by 102.
100
Let l(m) = -7*m**2 + 7 - 8*m + 19*m**2 - 4*m**2 + 24*m**2. What is the remainder when l(1) is divided by 12?
7
Let z = -3125 - -3588. Calculate the remainder when z is divided by 147.
22
Calculate the remainder when (-1259 - (-2)/1)/2*150/(-225) is divided by 106.
101
Let h(r) = 152*r**2 - 3*r + 2. Suppose -35*v + 13*v + 836 = 0. Calculate the remainder when h(1) is divided by v.
37
Let b = -1754 + 1994. Calculate the remainder when 821 is divided by b.
101
Let m(d) be the second derivative of d**4/6 + d**3 - 4*d**2 - 12*d. Let w be m(5). Suppose w = -f + 4*f. What is the remainder when f is divided by 13?
11
Suppose -17*g = -4*g - 2002. What is the remainder when (-13)/39 - g/(-3) is divided by 18?
15
Let k = -157 + 276. Let j = 923 - 836. Suppose 5*n - 3*x - j = -7*x, -n - 5*x = -30. Calculate the remainder when k is divided by n.
14
Suppose 5*k - 49 = -2*k. Suppose -14*v + k*v = -420. What is the remainder when v is divided by 16?
12
What is the remainder when (-1988)/(-5) - (-687)/(-1145) is divided by 85?
57
What is the remainder when (328 - 311)/((-2)/(-2054)) is divided by 5?
4
Suppose -2*w + 698 = -4*q, -20*q = -5*w - 22*q + 1721. Let k = 375 - w. Calculate the remainder when 182 is divided by k.
2
Let y be 2/(-1) + 0 + 12. Suppose -y*m + 6*m = -388. Suppose -4*z + 5*r = -m, -z - 85 = -6*z - r. What is the remainder when z is divided by 10?
8
Let p = -11598 + 13927. Calculate the remainder when p is divided by 213.
199
Let w = 212 + -35. Suppose -6*l + 3*l + w = -3*g, 4*g = -20. What is the remainder when l is divided by 15?
9
Suppose 5*v - 30 + 14 = 4*s, -4*s + 48 = 3*v. Suppose 3*i - 48 = -0. Calculate the remainder when i is divided by v.
0
Let q be (4 - -1) + (-2 - -4). Suppose p - 11 - q = 0. Calculate the remainder when p is divided by (-61)/(-6) + (4380/360)/(-73).
8
Suppose -3*i + 2 = -p, -6*p + 11*p + 3*i - 44 = 0. Suppose -p*o + 120 = 13*o. Suppose -4*z + 2*z = -44. What is the remainder when z is divided by o?
4
Let w = 821 - 465. Let j = 367 - w. Calculate the remainder when 0 + 2 + 255/5 is divided by j.
9
What is the remainder when 8/60 - 8139/(-45) is divided by 38?
29
Suppose 88*w - 293*w = -2255. Suppose 0*m + 2 = m. What is the remainder when -106*(2 - 5/m) is divided by w?
9
Let v be (-16)/(-24) + (-4)/(-3). Suppose -v*h - 8 = 3*i, 2*i - 5 = 2*h + 3. Let z = h - -10. Calculate the remainder when 23 is divided by z.
5
What is the remainder when 5190648/456 - -11*1 is divided by 74?
72
Let c = 1187 - 1135. What is the remainder when c is divided by 10?
2
Suppose 0 = 4*r - 4*c - 8376, 2*r + 6257 = 5*r + 2*c. What is the remainder when r is divided by 51?
49
Let t(u) = -u**2 + 11*u + 33. Suppose 3*n + 2*o = 138, 4*n - 5*o = -25 + 209. What is the remainder when n is divided by t(13)?
4
Let f(v) = 3*v**2 + 36*v + 194. What is the remainder when f(-15) is divided by 5?
4
What is the remainder when (15 + -4 - -40) + 6 is divided by 15?
12
Let d = 6054 + -6001. Calculate the remainder when 745 is divided by d.
3
Suppose -3*n = 3*t - 273, 46*n = -3*t + 42*n + 267. Calculate the remainder when 99 is divided by t.
2
Let c(z) = 173*z + 2120. What is the remainder when 350 is divided by c(-12)?
42
Suppose 5*u - u + 3*c + 50 = 0, 0 = c - 2. Let t(z) = 6*z**3 + z**2 - 2*z + 1. Let p be t(1). What is the remainder when 11 is divided by (-4 - -1)*u/p?
4
Let k(s) = 6*s + 280. Let a be k(48). Let t = a + -560. Suppose 369 = 5*i - l - 12, l - 312 = -4*i. What is the remainder when i is divided by t?
5
Let q(r) = -r - 21. Let h be q(-15). Let k be ((-2)/h)/((-1)/(-81)). Suppose 4*w + k = 5*m, 2*m = -3*m + 2*w + 21. What is the remainder when m is divided by 3?
0
Let k = -279 + 302. Suppose 0 = -5*q - k*q + 3584. Calculate the remainder when q is divided by 25.
3
Suppose -4*w - h - 5 = 0, -18 = 5*w + 3*h - 3. Suppose 5*u + 4*t - 7 - 778
|
{
"pile_set_name": "DM Mathematics"
}
|
) assuming g is positive.
1
Simplify ((a/(a*a**(1/2)))/a)**(3/13)/((((a/(a/a**(2/7)))/a)/a)/a*a)**(1/30) assuming a is positive.
a**(-263/910)
Simplify (o*(o*o/((((o*o*o**(1/3))/o*o*o)/o)/o))/o*o)/(o/(o**(-14)/o)*o)*o**(2/29)*o**8 assuming o is positive.
o**(-632/87)
Simplify (((q/(q**(-1/3)/q))/q)**(-4/5))**0 assuming q is positive.
1
Simplify ((q/(q*q*q**(2/7)*q)*q)/(q**(-4/15)*q))/((q/(q*q*q**(1/2)*q))/q**(-5)) assuming q is positive.
q**(-949/210)
Simplify ((y*y/(y**(-3/7)/y))/y**(-17))/((y/(y*(y/(y/(y*y*y/(y/(y/(y**(-19)/y))*y)*y))*y)/y))/(y*y**(1/4))) assuming y is positive.
y**(1251/28)
Simplify ((u**(-1/4))**42/(u**3*u*u**6))**(9/4) assuming u is positive.
u**(-369/8)
Simplify (((q/(q*q**(-2/5)*q*q*q))/q)**(-13/8)*q**(-5/6)*(q/q**(4/3)*q)/q)**(2/15) assuming q is positive.
q**(281/450)
Simplify (t**(9/5)/t*(t/t**(-9/5)*t)/t)/(((t/(t/((t**(-5)*t)/t)))/t)/t**7) assuming t is positive.
t**(83/5)
Simplify (((i**(-2/5)*i)**(-18/5))**46)**(-14) assuming i is positive.
i**(34776/25)
Simplify ((m**0/m)/m)**(-3/2)*m*m/m**(3/4)*m/(m/(m*m/m**5*m)) assuming m is positive.
m**(9/4)
Simplify ((g**(-2/3)/g)**(-5)*g*g**(-1/3)*g*g*g*g*(g*g*(g*g*g**(-2/7))/g*g)/g*g)**(-10/7) assuming g is positive.
g**(-1170/49)
Simplify (b**(1/2)*b*b/b**(-1)*b*b**5/(b**(-3)*b))**(4/9) assuming b is positive.
b**(46/9)
Simplify (((d*(d*d*(d*d**(-7/5))/d)/d)/d)/d**9)/((d/(d*d**16))/(d/(d/(d*d/(d**(2/21)/d)*d)))) assuming d is positive.
d**(1103/105)
Simplify ((u/u**(-6))/(u*u/(u/(u*u/u**(-7))))*u*u**(1/6)/u*u*u*u/(u/u**(3/7)))**(-1/32) assuming u is positive.
u**(17/1344)
Simplify (o/(o/((o/(o/o**(-3)))/o)))**(-19/3)*(o**4)**(5/13) assuming o is positive.
o**(1048/39)
Simplify (f**(-2/7))**(-47)*f**(-5)/f*f/f**0 assuming f is positive.
f**(59/7)
Simplify (p**(2/7))**30*(p**(-2/35)/p)/(p**5/p) assuming p is positive.
p**(123/35)
Simplify (k/k**0)**(17/6)*k**1/k*k/k**(-1/14) assuming k is positive.
k**(82/21)
Simplify (l**(2/59)*((l/(l**18/l*l*l))/l*l)/l)/((l**(1/2)/l*l)/l)**(3/23) assuming l is positive.
l**(-51297/2714)
Simplify j**26/j*(j*j/j**(-31)*j)/j*j**(-4)/j**(-1/5) assuming j is positive.
j**(271/5)
Simplify ((m/(m/(((m*m**(-2/57))/m)/m)))/m**(-26))**28 assuming m is positive.
m**(39844/57)
Simplify (((t**(-2/7))**47)**(-1))**21 assuming t is positive.
t**282
Simplify (p**2)**(-32)/(p*p**(-1)/p)**48 assuming p is positive.
p**(-16)
Simplify ((g/g**2*g)/g**(-2))/(g**(1/2))**(2/15) assuming g is positive.
g**(29/15)
Simplify ((u/(u**(-1/7)*u))/(u**2*u)*(u*u**(-6))/((u**0/u)/u))**10 assuming u is positive.
u**(-410/7)
Simplify (s**4/s)**(3/11)*s**(-3)*s/s**(-2/7) assuming s is positive.
s**(-69/77)
Simplify (s/s**22*(s*s*s**15)/s)/((s/(s*s/s**(-1/9)))/(s/(s/s**(-3/20)))) assuming s is positive.
s**(-727/180)
Simplify (z**(-8)*z**5*z*z*((z**2/z)/z)**18)**(-34) assuming z is positive.
z**34
Simplify x/x**(-21)*x*x**(-20)*(x*x**(-4/11))**(3/11) assuming x is positive.
x**(384/121)
Simplify (x**(2/67)*x**(5/6)/x)**32 assuming x is positive.
x**(-880/201)
Simplify (x*x**11/x)**(-10)*x**(8/5)/(x/(x**(-1/8)*x)) assuming x is positive.
x**(-4341/40)
Simplify (a*a**(-1)*a*a/a**(-1/3)*a**(-3/7)*a*(a/(a**5/a))/a)**(28/5) assuming a is positive.
a**(-92/15)
Simplify (v*v/(v/v**1))**(-3/5)/(((v*v*v**0*v*v)/v)/v*(v*v/v**(-18)*v)/v) assuming v is positive.
v**(-116/5)
Simplify (d/((d**(-2/5)/d)/d))**(36/7)/((d**(-1/32)*d)/d)**(-44) assuming d is positive.
d**(4511/280)
Simplify (g*g**5)/(g/(g*g*g**(3/2)/g*g))*g/(g*g*(g*g**9*g)/g*g)*g/g**(-2/7) assuming g is positive.
g**(-31/14)
Simplify (v*v*v*v**(-4)*v*v)**14*v**17/(v**10/v) assuming v is positive.
v**22
Simplify (j**(-4))**(-11)*j**(-15/2)/(j*j**(20/3)) assuming j is positive.
j**(173/6)
Simplify (l**(2/7))**(-1/5)*l**(2/3)/l*l/(l/(l*((((l*l**(3/7)/l)/l)/l)/l)/l)) assuming l is positive.
l**(-311/105)
Simplify ((b*b/(b/b**(-2/53)))/(b*b**(4/5)*b))/((b**(-1/9)*b)/(b/(((b*(b**(-2/31)/b)/b)/b)/b))) assuming b is positive.
b**(98917/73935)
Simplify (p**10)**(-15)/(p**19*p*((p/p**(2/43)*p)/p)/p) assuming p is positive.
p**(-7308/43)
Simplify n**(-1/9)*n*n*n**(-8/5)*n*n*n*(n**(-4/7)*n)/n**(-19) assuming n is positive.
n**(7156/315)
Simplify (((o**(-7/4)/o)**12)**(-15))**(2/35) assuming o is positive.
o**(198/7)
Simplify ((n/(n*n*n/(n/(n*n/(((n/(n*(n*n**1*n*n)/n*n)*n)/n)/n)))*n))**(-1/8))**(2/7) assuming n is positive.
n**(9/28)
Simplify (p*p/(p/p**(-23))*p)/p**(-28)*(p*p**(15/4))**(-37) assuming p is positive.
p**(-675/4)
Simplify (((d**(-1/10)*d)/d**(-3/8))**(-27))**(-25/2) assuming d is positive.
d**(6885/16)
Simplify ((n**0)**(-28))**(-14/13) assuming n is positive.
1
Simplify (g**9*g**(-2/3))/(g**5*g*g/(((g/(g/g**(2/11)))/g)/g)) assuming g is positive.
g**(-16/33)
Simplify ((b*b*b*((b*b**(2/9))/b)/b)/(b*b**5*b)*(b**0/b)**(-4/9))**12 assuming b is positive.
b**(-52)
Simplify (q**(2/3))**(1/10)*(q/(q*q**(-2/27))*q)**(3/14) assuming q is positive.
q**(187/630)
Simplify (u*u**1)/(u*u/u**(-12)*u)*(u*u/(u**(-19)/u))**(-18) assuming u is positive.
u**(-409)
Simplify a**(9/4)*a*a/(a*a*a*(a*(a/a**(2/31))/a)/a)*a*(a/a**20*a)**(2/9) assuming a is positive.
a**(-209/124)
Simplify (h**(-2/13))**(2/7)*h**13/h**(-13) assuming h is positive.
h**(2362/91)
Simplify ((m*m**18)**(6/23))**(3/2) assuming m is positive.
m**(171/23)
Simplify y/(y**0/y)*y*(y/((y*y*y**(-7))/y*y*y))/y*y**(-2/35)*y*y*y**(-2/17)*y assuming y is positive.
y**(5846/595)
Simplify (((y/y**(3/7)*y)/y)/(y/(y/(y/y**(-1/5)))))/(((y/(y*(y*y*((y**7*y*y)/y*y)/y*y)/y))/y)/y)**(-26) assuming y is positive.
y**(-10942/35)
Simplify ((q/q**(-4/9)*q*q*(q/q**(1/4))/q*q)**21)**(5/2) assuming q is positive.
q**(5285/24)
Simplify ((v/v**(2/33))/v*v)**(-2/105)/((v**(14/5)*v*v)/(v*v**(4/23)*v)) assuming v is positive.
v**(-210712/79695)
Simplify (a/a**(2/21))/(a**(-6)/a)*a**(1/17)/(a**(2/29)/a) assuming a is positive.
a**(92086/10353)
Simplify (((m**(1/4))**(-4/11))**11)**(-1/10) assuming m is positive.
m**(1/10)
Simplify (h**(2/15))**(-47)*((((h/((h**(-1/3)*h*h*h*h)/h)*h*h)/h)/h*h)/h)**(2/143) assuming h is positive.
h**(-13492/2145)
Simplify (((m**5)**(-21/4))**(-16))**7 assuming m is positive.
m**2940
Simplify (o**(-2/17))**(7/3)*((o/(o*(o*(o*o**(-4))/o*o)/o))/o)**31 assuming o is positive.
o**(3148/51)
Simplify (r*r*r/r**(-3)*r)**17/((r*r**(-12)/r)/(r**7*r)) assuming r is positive.
r**139
Simplify (z/(z*z/(z*z/z**(-1/4)))*((z/z**30)/z)/z*z)**(-18/13) assuming z is positive.
z**(1035/26)
Simplify (l**(6/7)/((l**8/l)/l))/((l*l**(11/4))/(l/((l**(-3/5)/l)/l))) assuming l is positive.
l**(-741/140)
Simplify (b/b**8)**(1/29)*(b**(-6)/b)**23 assuming b is positive.
b**(-4676/29)
Simplify (j**(-3/7)*j)**(-20)/(j/j**(2/9))**(13/8) assuming j is positive.
j**(-6397/504)
Simplify (k**3*k**(-2/13)*k*(k/(k**(-5)/k))/(k*k/((k/(k**(-6/5)*k))/k)*k*k))**(-2/41) assuming k is positive.
k**(-916/2665)
Simplify (j/(j**(1/5)*j)*j**(-3))/((j*j/j**(-16))/(j/((j*j/(j*j/(j*(j*j**(-1/35))/j)))/j))) assuming j is positive.
j**(-706/35)
Simplify (((g/(g*g*g**(1/3)/g))**(-29))**(19/2))**(-2/17) assuming g is positive.
g**(-551/51)
Simplify x**(-7)*x*x**(-5)*x*x*((((x/(x/((x**(1/5)/x)/x)))/x)/x)/x)**(-9/10) assuming x is positive.
x**(-117/25)
Simplify (((x/(x/x**20)*x)/x*x*x)/x)**(1/60)*(x/(x*x**(-17)/x)*x)/(x/(x/(x/x**(-9)))) assuming x is positive.
x**(187/20)
Simplify ((d**22*d)/(((d/d**(-2/37))/d)/d))/(((((d/(d*d**(2/33)))/d)/d)/d)/(d*d**10)) assuming d is positive.
d**(46406/1221)
Simplify (j*j**12)/(j/j**(5/6))*(j*j**(2/33))/(j**14/j) assuming j is positive.
j**(59/66)
Simplify (a*a**12*a)**49*(a/(a**(-16)/a))/a*a*a**(-16)/a assuming a is positive.
a**687
Simplify ((z*z**(-6/19)*z*z)**(6/7))**(-18) assuming z is positive.
z**(-5508/133)
Simplify (((p/(p*p**(1/7))*p)/p*p*p**(-2/13))**12)**9 assuming p is positive.
p**(6912/91)
Simplify (w*w**3*w**(2/5)*(w*w/(w*w**(-4)))/(w*w/w**(-4)))**(-5/7) assuming w is positive.
w**(-17/7)
Simplify f*f**(-13)/f*f**(-24)*(f*f/((f/(f*f*f**11)*f)/f))**(-29) assuming f is positive.
f**(-443)
Simplify (((b/(b/(b*b**(-12))))/b)/b)**(1/5)*b**(11/4)/((b**22/b)/b) assuming b is positive.
b**(-397/20)
Simplify (v**20*v)/((v/(v**(4/11)/v))/v)*(v*v*v**4*v*v)/(v**(-14)*v) assuming v is positive.
v**(455/11)
Simplify (((a**(-1))**(-1/2))**(-2/11))**(-1/59) assuming a is positive.
a**(1/64
|
{
"pile_set_name": "DM Mathematics"
}
|
in -276149, -1104664, -2485531, -4418750, -6904321?
-9942244
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31399171
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29863
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3652060
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-1258817
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92705
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-39565008
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-18802466
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2083329
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-220888
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-1214838
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742235153
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8806752
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14910
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13738
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3832406
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37479078
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-15492
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25345
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-589460
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59241863
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1934097
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5921
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-1176
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-4947126
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-65912
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33045
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-28975
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949
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130203
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3084
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-1796049
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9591900
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-5120883
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1527946
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16598
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-946028
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-723374
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-34486
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1959
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-51604
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-659259
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-40167835
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7081825791
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629502
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166432
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-69448
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8635793
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82121
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41916
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-10862
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-19011458
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90146
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-136802
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31717
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-99848
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-177127080
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-395371
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735555
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1241
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-5746
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74867
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2522757
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229682
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79244
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-358356
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18412
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10865742
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-153959
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-3102671
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23846
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-121880
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-391529
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-882183
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164020
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436880940
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7126617
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-335506
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16796
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514254
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-13984
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-23557
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3215103
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11905366
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9310
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2080
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-6149
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211238429
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199539
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-984204
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-5271
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71239
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-37292373
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2337038
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192594
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600917
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5194878
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93073
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-1020700
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-36705
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-37160
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28443
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-22485
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72189
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-9371
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-6855590
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1279623
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-331648
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-40853
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-647414
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33540
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73361
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614881
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-96304
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-942898
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4071
What is the ne
|
{
"pile_set_name": "DM Mathematics"
}
|
i**6. Find the third derivative of b(s) wrt s.
-360*s**2
What is the second derivative of -15*h**2 - 12*h**4 + 16*h**2 - 13*h + 27*h wrt h?
-144*h**2 + 2
What is the second derivative of -3*o**3 - 15*o + 0*o**3 + 8*o wrt o?
-18*o
Let q(a) be the second derivative of -11*a**4/12 - a**3/6 - 9*a**2 + a + 8. Find the second derivative of q(u) wrt u.
-22
Let g(v) be the first derivative of 6*v**5/5 - 14*v + 18. What is the first derivative of g(f) wrt f?
24*f**3
Find the first derivative of -119*w**2 + 119*w**2 - 6 - 19*w**4 wrt w.
-76*w**3
Suppose 3*n - 16 = -n. Suppose -3*b + 5 = 5*x, -n*b - 2*x + 3*x - 1 = 0. What is the derivative of b*f - 1 - 2*f + 2 wrt f?
-2
Let r(p) be the first derivative of p**7/105 - p**4/8 + 2*p**2 + 1. Let h(a) be the second derivative of r(a). Find the second derivative of h(c) wrt c.
24*c**2
Let c(f) be the second derivative of -f**4/12 + f**3/3 + 8*f. Find the second derivative of c(g) wrt g.
-2
What is the first derivative of -53 + 34 + 31 - 7*g**2 wrt g?
-14*g
Let p(j) = -4*j + 0 + 2*j**2 - 3 + 3. Let m(b) = b**2 + b. Let k(f) = -2*m(f) - p(f). What is the second derivative of k(u) wrt u?
-8
Let r(c) be the first derivative of -17*c**7/7 - 4*c**3/3 + 10*c - 22. What is the third derivative of r(g) wrt g?
-2040*g**3
Let a(y) be the second derivative of 1/4*y**5 - 3*y**2 + 0 + 6*y + 0*y**4 + 0*y**3. Differentiate a(m) wrt m.
15*m**2
What is the derivative of 9*l - 3*l - 1 - 8 wrt l?
6
Let x(w) = 7*w**2 - 1. Let n be x(1). What is the second derivative of -3*h + n*h + 3*h + 5*h**2 - 4*h wrt h?
10
Suppose -3*j = 2*j - 10. Suppose 4*t = -4*c + 8, -j*c = t - 1 - 1. Find the first derivative of 2 + d**2 + d**t - 3 wrt d.
4*d
Let n(z) = 7*z**2 - 4*z + 9. Let q(m) = 0 + 2 + m**2 + m**2 + 0*m**2 - m. Let v(s) = 2*n(s) - 9*q(s). What is the second derivative of v(c) wrt c?
-8
Let y(t) be the third derivative of -t**7/70 - 13*t**6/120 - 11*t**4/12 + 42*t**2. Find the second derivative of y(b) wrt b.
-36*b**2 - 78*b
Let d(z) be the first derivative of -20*z**6/3 + 22*z**2 + 27. Find the second derivative of d(p) wrt p.
-800*p**3
Find the second derivative of n + 3*n + 6*n**4 - 7*n wrt n.
72*n**2
Let b(f) = 12*f**5 - 44*f**3 + 32*f**2 + 44*f + 44. Let h(m) = -m**3 + m**2 + m + 1. Let i(a) = -2*b(a) + 88*h(a). Find the third derivative of i(d) wrt d.
-1440*d**2
Suppose -5*r = -2*t - 1, r + 0 - 1 = 0. What is the third derivative of 11*b**2 - 3*b**2 - 5*b**6 + b**t wrt b?
-600*b**3
What is the third derivative of 170 + 162 - 332 - 37*k**4 + 11*k**2 wrt k?
-888*k
Let d = 11 - 7. Differentiate -10 + 6 - d*a**3 + 5*a**3 with respect to a.
3*a**2
Let y(k) be the third derivative of k**6/720 + k**5/20 + k**4/12 + k**2. Let z(p) be the second derivative of y(p). Differentiate z(s) with respect to s.
1
Let d(i) = -8*i**2 - 4*i - 46. Let r(m) = -m**2 + 1. Let z(q) = d(q) - 2*r(q). What is the derivative of z(k) wrt k?
-12*k - 4
Let w be 0 + (3 - -1) - -2. Find the first derivative of -11*d + 2 + 5 - w + 19*d wrt d.
8
Suppose -8 = -2*x - 2. What is the derivative of -5*u + 5*u + 3 - 5*u**x + 3 wrt u?
-15*u**2
Let w(o) be the second derivative of o**6/30 + 7*o**5/10 - o**4/6 - o**3/3 + 49*o. Find the third derivative of w(d) wrt d.
24*d + 84
Let d(i) be the first derivative of 7*i**6 + 23*i**2/2 - 11. What is the second derivative of d(t) wrt t?
840*t**3
Suppose 0 = -4*u + 6 + 10. Let n be (-4)/6*12/(-8). Differentiate -n - i + i - i**u wrt i.
-4*i**3
Let o(r) be the third derivative of r**6/120 - r**5/10 - 4*r**2. Find the third derivative of o(d) wrt d.
6
Let y(v) be the third derivative of -v**7/21 + v**5/20 - 5*v**2. What is the third derivative of y(j) wrt j?
-240*j
Let l(y) = 3*y + 7. Let j(v) = 7*v + 14. Let m(g) = 4*j(g) - 9*l(g). Let z be m(9). Find the third derivative of -3*u**2 - z*u**2 + 2*u**3 + 6*u**2 wrt u.
12
Find the third derivative of 2*d**5 - 4*d**5 + 17*d**2 + 0*d**5 wrt d.
-120*d**2
Let u(h) = -5*h**2 + 4*h. Let w(z) = -3*z + 11*z**2 - 5*z - 1 + 1. Let g(o) = -5*u(o) - 2*w(o). Find the second derivative of g(f) wrt f.
6
Find the third derivative of -4*a**6 + 2*a**6 + 2*a**2 - 5*a**2 - a**6 wrt a.
-360*a**3
Let s(w) be the second derivative of -3*w**6/10 - 2*w**4/3 - 2*w. Find the third derivative of s(p) wrt p.
-216*p
Suppose -4*u = -u - 15. Find the third derivative of 4*o**u + 2*o**2 - o**5 - 8*o**2 wrt o.
180*o**2
Let t(g) = g + 15. Let w be t(-10). What is the third derivative of -9 - 2*u**2 - w*u**3 + 9 + 2*u**3 wrt u?
-18
Let f(t) = 6*t**6 + 5*t**4 + 13*t**2 - 5. Let o(m) = m**4 + m**2 - 1. Let b(r) = -f(r) + 5*o(r). What is the third derivative of b(l) wrt l?
-720*l**3
Let m(n) be the first derivative of 9*n**4 - 11*n - 30. Find the first derivative of m(f) wrt f.
108*f**2
What is the second derivative of -3*a**4 + a - 8 - 5*a**4 + 2*a - 4*a**4 wrt a?
-144*a**2
Let t(u) = u**3 + 1. Let a(x) = 3*x**3 + x**2 - 2*x + 5. Let n(l) = a(l) - 5*t(l). What is the third derivative of n(r) wrt r?
-12
Let p(z) = -15*z**4 + 4*z**2 - 4*z - 5. Let k(n) = 30*n**4 - 7*n**2 + 7*n + 9. Let j(m) = 4*k(m) + 7*p(m). Differentiate j(b) with respect to b.
60*b**3
Let l(d) = -18*d**3 + 3*d**2 + 14*d + 3. Let u(k) = 19*k**3 - 2*k**2 - 15*k - 2. Let i(r) = 2*l(r) + 3*u(r). What is the second derivative of i(m) wrt m?
126*m
Let t(x) = x**3 - x**2 + 1. Let j(d) = 9*d**3 - 2*d**2 + 1. Let u(b) = j(b) - t(b). What is the third derivative of u(s) wrt s?
48
Let c(g) be the third derivative of -2*g**8/21 + g**4/12 - 7*g**2. What is the second derivative of c(j) wrt j?
-640*j**3
Suppose -5*n + n = -116. What is the first derivative of 29*y**2 - 7 + 0*y**4 + 6*y**4 - n*y**2 wrt y?
24*y**3
Let h(i) = -4*i**2 + 24*i + 14. Let a(m) = m**2 - 5*m - 3. Let r(g) = -14*a(g) - 3*h(g). Find the second derivative of r(n) wrt n.
-4
Let k(z) = -2*z**3 - 3*z**2. Let w be k(-2). Find the second derivative of 2*x + w*x - x**5 - 4*x**5 wrt x.
-100*x**3
Find the first derivative of 6 + 0 - 4 + 21*k**2 wrt k.
42*k
Let v(z) be the third derivative of 0*z**5 - 1/210*z**7 + 0 + z**2 + 0*z + 0*z**6 - 1/2*z**3 + 0*z**4. Find the first derivative of v(h) wrt h.
-4*h**3
Let z(h) be the first derivative of h**4 + 0*h**4 + 4 + 0 + h**2. What is the second derivative of z(d) wrt d?
24*d
Let j = 20 - 18. Let g(u) be the second derivative of -u - u**j + 1/6*u**3 + 0. What is the derivative of g(w) wrt w?
1
Let a be (2 - 4) + (-27)/(-3). Differentiate -10*k**4 - a + 5 + 4 wrt k.
-40*k**3
Let m(i) = 7*i + 7. Suppose 11 = 5*v + 1. Let y(u) = u + 1. Let n(t) = v*y(t) - m(t). What is the derivative of n(j) wrt j?
-5
Suppose -10 = -5*q + 5*g, 30 = -q + 6*q + 5*g. Find the second derivative of 3*l + l + 180*l**q - 4*l**5 - 180*l**4 wrt l.
-80*l**3
Differentiate 1 + 11 - 8 + 8 + 9*g with respect to g.
9
Let c(r) = -r**3 + 2*r**2 - 3*r. Let z(b) = 4*b**3 - 8*b**2 + 13*b. Let t(l) = -26*c(l) - 6*z(l). Find the third derivative of t(v) wrt v.
12
Find the third derivative of 5 - 95*g + g**4 + 2*g**2 + 34*g**5 - 86*g + 181*g wrt g.
2040*g**2 + 24*g
Let w(x) = 3*x**5 - 2*x**3 - 7*x**2 - 2*x. Let a(z) = -6*z**5 + 5*z**3 + 14*z**2 + 5*z. Let g(h) = 2*a(h) + 5*w(h). What is the third derivative of g(c) wrt c?
180*c**2
Let n(y) = 3*y**3 - 4*y**2 - 4*y - 3. Let v(d) = -d**2 - d - 1. Let j = 9 - 5. Let i(g) = j*v(g) - n(g). Differentiate i(l) wrt l.
-9*l**2
Find the second derivative of 4*a - 5*a**2 - a**2 + 2*a**2 + 0*a**2 wrt a.
-8
Suppose -25 = 2*p - 7*p. Let j = p + -3. What is the second derivative of -j*n + 2*n**3 + n**3 - 2*n**3 wrt n?
6*n
Let x(u) = 3*u**3 + u**2 + 5*u + 5. Let q(a) = -2*a**3 - a**2 - 4*a - 4. Let b(p) = 5*q(p) + 4*x(p). Find the third derivative of b(z) wrt z.
12
Suppose 8 = 4*f - 0*f. Let y be -1*(-3)/6 + (-10)/(-4). Find the second derivative of -3*t**f - 4*t - 3 + t + y wrt t.
-6
Let n(y) = 26*y**3 - 24*y**2 - 17*y. Let q(g) = 9*g**3 - 8*g**2 - 6*g. Let d(s) = -6*n(s) + 17*q(s). Find the third derivative of d(m) wrt m.
-18
Let x = -15 + 68. What is the second derivative of -u**5 + 48*u - x*u + 6*u**5 wrt u?
100*u**3
Find the third derivative of -65*o**6 - 25*o**2 + 106*o**6 - 4*o**2 wrt o.
4920*o**3
Let p = -2 - -2. Suppose -2*h = -p*h - 4. Find the second derivative of -q**h + q**2 + 2*q**4 - q wrt q.
24*q**2
Let p(n) = 6*n**2 - 21*n. Let q(r) = r**2 - r. Let w
|
{
"pile_set_name": "DM Mathematics"
}
|
410707 a prime number?
False
Is 56113 a composite number?
False
Is 25573 prime?
False
Is 1543994 a prime number?
False
Is 134327 prime?
True
Is 664901 a composite number?
True
Is 57221 a composite number?
False
Is 1056145 a composite number?
True
Is 20707 prime?
True
Is 33559 composite?
True
Is 31615 a prime number?
False
Is 158057 prime?
False
Is 830657 prime?
True
Is 181813 a composite number?
False
Is 7981 a composite number?
True
Is 6445 a prime number?
False
Is 10421 composite?
True
Is 57143 composite?
False
Is 349097 a composite number?
True
Is 141299 composite?
True
Is 736007 a composite number?
False
Is 233851 a prime number?
True
Is 343399 a prime number?
False
Is 132269 composite?
True
Is 364079 a prime number?
True
Is 127 prime?
True
Is 335807 prime?
True
Is 25503 a prime number?
False
Is 11747 prime?
False
Is 2041685 a prime number?
False
Is 93601 a prime number?
True
Is 125446 a composite number?
True
Is 1778963 composite?
False
Is 1665823 composite?
False
Is 50801 a composite number?
True
Is 1205 prime?
False
Is 35661 composite?
True
Is 13247 a prime number?
False
Is 97507 a prime number?
False
Is 672851 a prime number?
False
Is 87853 a prime number?
True
Is 72023 a prime number?
False
Is 12419 a prime number?
False
Is 12883 prime?
False
Is 255389 a prime number?
False
Is 743549 a prime number?
True
Is 2531 a composite number?
False
Is 100289 a composite number?
True
Is 76611 a prime number?
False
Is 17129 prime?
False
Is 1047 composite?
True
Is 324823 prime?
False
Is 1335847 prime?
True
Is 10753 composite?
False
Is 211207 composite?
True
Is 71527 composite?
False
Is 43531 composite?
True
Is 1961 a prime number?
False
Is 13829 composite?
False
Is 320821 composite?
False
Is 651281 composite?
False
Is 596787 a prime number?
False
Is 24179 a prime number?
True
Is 745 a composite number?
True
Is 8914 composite?
True
Is 927995 a prime number?
False
Is 983 prime?
True
Is 311737 a prime number?
True
Is 144923 composite?
True
Is 32113 prime?
False
Is 4327 prime?
True
Is 437321 composite?
False
Is 28151 prime?
True
Is 689 a composite number?
True
Is 1319 composite?
False
Is 72533 a composite number?
False
Is 54521 composite?
False
Is 28103 composite?
True
Is 4201 prime?
True
Is 6226627 prime?
False
Is 169787 prime?
False
Is 61477 a composite number?
True
Is 1187 prime?
True
Is 192857 prime?
False
Is 2177501 a composite number?
False
Is 80513 a prime number?
True
Is 10307 a composite number?
True
Is 38299 composite?
False
Is 34739 a composite number?
False
Is 20365 composite?
True
Is 30491 a composite number?
False
Is 30631 prime?
True
Is 141793 prime?
True
Is 24121 composite?
False
Is 6503 prime?
False
Is 19937 prime?
True
Is 42031 a composite number?
True
Is 42557 prime?
True
Is 128327 a composite number?
False
Is 344353 a prime number?
True
Is 34739 prime?
True
Is 7091 a composite number?
True
Is 82189 a prime number?
True
Is 16051 prime?
False
Is 3672413 composite?
False
Is 198811 a composite number?
False
Is 186377 prime?
True
Is 4421 composite?
False
Is 3086251 prime?
False
Is 12049 prime?
True
Is 815 prime?
False
Is 100991 a prime number?
False
Is 12197 a composite number?
False
Is 3242 a composite number?
True
Is 3251 prime?
True
Is 33257 prime?
False
Is 20047 a composite number?
False
Is 13231 a composite number?
True
Is 8887 prime?
True
Is 11521 a composite number?
True
Is 2813 composite?
True
Is 115883 composite?
False
Is 14585 prime?
False
Is 170707 a prime number?
True
Is 99751 prime?
False
Is 70961 composite?
True
Is 56359 composite?
False
Is 449543 prime?
True
Is 47491 composite?
False
Is 480203 prime?
True
Is 79303 a prime number?
False
Is 17165 prime?
False
Is 37649 composite?
False
Is 50795 composite?
True
Is 3812059 prime?
True
Is 3067 composite?
False
Is 1227 prime?
False
Is 142382 a composite number?
True
Is 886957 composite?
True
Is 355483 composite?
False
Is 5129 a composite number?
True
Is 905111 a composite number?
False
Is 11665 composite?
True
Is 145279 a prime number?
False
Is 402991 a prime number?
True
Is 2453999 composite?
False
Is 4201 prime?
True
Is 9127 composite?
False
Is 2766853 a prime number?
False
Is 296797 prime?
True
Is 427055 composite?
True
Is 2927 composite?
False
Is 336367 a composite number?
True
Is 12283 composite?
True
Is 414574 prime?
False
Is 5161 a prime number?
False
Is 105809 composite?
True
Is 517289 prime?
True
Is 26747 a composite number?
True
Is 24223 a composite number?
False
Is 263 composite?
False
Is 1369531 prime?
True
Is 10713 composite?
True
Is 152491 prime?
False
Is 10391 a composite number?
False
Is 8327 a prime number?
False
Is 1745605 prime?
False
Is 1517 composite?
True
Is 93739 a composite number?
False
Is 62801 a prime number?
True
Is 110486 a composite number?
True
Is 213067 composite?
False
Is 12707 prime?
False
Is 5603 composite?
True
Is 609839 prime?
False
Is 233939 prime?
True
Is 2723 prime?
False
Is 3379 a prime number?
False
Is 294859 a prime number?
True
Is 1069 a prime number?
True
Is 205613 composite?
True
Is 182821 a composite number?
False
Is 42815 a composite number?
True
Is 11213 composite?
False
Is 757495 a prime number?
False
Is 1497911 a composite number?
False
Is 730621 prime?
False
Is 22901 prime?
True
Is 8257 a composite number?
True
Is 762529 a prime number?
True
Is 64549 prime?
False
Is 7789 a prime number?
True
Is 111921 prime?
False
Is 17077 composite?
False
Is 3649 prime?
False
Is 26357 composite?
False
Is 42487 a composite number?
False
Is 153971 a composite number?
True
Is 355543 prime?
False
Is 517637 composite?
False
Is 1822003 a composite number?
False
Is 28151 prime?
True
Is 43777 a composite number?
False
Is 654573 composite?
True
Is 9828599 a composite number?
True
Is 1133 prime?
False
Is 17011 a composite number?
False
Is 411883 a composite number?
False
Is 14953 a composite number?
True
Is 527273 composite?
False
Is 1159229 composite?
False
Is 21913 a composite number?
True
Is 4751 prime?
True
Is 537951 composite?
True
Is 10313 prime?
True
Is 28115 prime?
False
Is 2599 composite?
True
Is 33001 prime?
False
Is 46519 prime?
False
Is 20231 a composite number?
False
Is 267259 composite?
False
Is 1520107 a composite number?
False
Is 967627 a prime number?
True
Is 345407 prime?
False
Is 6421 prime?
True
Is 50741 a prime number?
True
Is 28673 composite?
True
Is 89363 a prime number?
True
Is 276707 a composite number?
False
Is 46317 composite?
True
Is 12367 a prime number?
False
Is 352181 a composite number?
False
Is 20789 a prime number?
True
Is 82741 a prime number?
False
Is 693019 composite?
False
Is 13487 prime?
True
Is 111362 prime?
False
Is 15217 a composite number?
False
Is 245783 composite?
False
Is 329965 a composite number?
True
Is 215149 a prime number?
False
Is 260647 a composite number?
False
Is 1122569 a prime number?
False
Is 8882 composite?
True
Is 173513 a prime number?
False
Is 17159 prime?
True
Is 7507 a prime number?
True
Is 3182495 a composite number?
True
Is 4555 prime?
False
Is 2543 prime?
True
Is 330499 composite?
True
Is 85 a composite number?
True
Is 127707 a prime number?
False
Is 39679 composite?
False
Is 18779 composite?
True
Is 14361 composite?
True
Is 130457 a composite number?
False
Is 1151 prime?
True
Is 5723 a prime number?
False
Is 25429 composite?
True
Is 1116053 a composite number?
False
Is 1757551 a composite number?
True
Is 20953 composite?
True
Is 10367 prime?
False
Is 350003 prime?
True
Is 12889 a composite number?
False
Is 3163 a prime number?
True
Is 13523 prime?
True
Is 15595 composite?
True
Is 43913 composite?
False
Is 453802 prime?
False
Is 5261 a composite number?
False
Is 540331 a prime number?
False
Is 925487 prime?
True
Is 95 a prime number?
False
Is 138389 a prime number?
True
Is 162643 a composite number?
True
Is 3377 prime?
False
Is 201031 prime?
True
Is 546919 a prime number?
True
Is 380179 a composite number?
False
Is 49073 prime?
False
Is 4265 composite?
True
Is 64433 a prime number?
True
Is 405857 prime?
True
Is 36511 prime?
False
Is 955 a prime number?
False
Is 11959 a prime number?
True
Is 18943 a composite number?
True
Is 173611 prime?
False
Is 7079 prime?
True
Is 53731 a prime number?
True
Is 85793 composite?
False
Is 66653 composite?
False
Is 1709 a prime number?
True
Is 517681
|
{
"pile_set_name": "DM Mathematics"
}
|
AM?
310
How many minutes are there between 2:49 PM and 7:47 PM?
298
How many minutes are there between 6:10 PM and 7:32 PM?
82
What is 687 minutes after 9:07 AM?
8:34 PM
How many minutes are there between 2:10 PM and 11:56 PM?
586
What is 480 minutes after 7:46 PM?
3:46 AM
What is 591 minutes after 3:07 PM?
12:58 AM
How many minutes are there between 4:26 PM and 4:25 AM?
719
How many minutes are there between 7:44 AM and 8:25 AM?
41
How many minutes are there between 3:34 PM and 5:41 PM?
127
What is 493 minutes after 3:40 AM?
11:53 AM
What is 366 minutes after 1:53 PM?
7:59 PM
How many minutes are there between 1:38 PM and 6:29 PM?
291
What is 321 minutes after 4:13 AM?
9:34 AM
What is 50 minutes before 1:47 PM?
12:57 PM
What is 405 minutes after 2:04 AM?
8:49 AM
What is 332 minutes before 10:05 PM?
4:33 PM
How many minutes are there between 10:57 PM and 1:52 AM?
175
How many minutes are there between 10:45 AM and 9:52 PM?
667
How many minutes are there between 4:51 AM and 5:10 AM?
19
What is 49 minutes before 5:54 AM?
5:05 AM
How many minutes are there between 5:24 AM and 10:41 AM?
317
What is 209 minutes before 3:46 PM?
12:17 PM
What is 552 minutes after 2:37 PM?
11:49 PM
What is 644 minutes after 8:59 PM?
7:43 AM
How many minutes are there between 8:25 PM and 7:43 AM?
678
How many minutes are there between 5:31 AM and 7:09 AM?
98
What is 707 minutes before 10:09 AM?
10:22 PM
How many minutes are there between 6:25 AM and 7:17 AM?
52
How many minutes are there between 12:57 AM and 9:41 AM?
524
What is 176 minutes before 10:03 PM?
7:07 PM
How many minutes are there between 4:33 AM and 5:29 AM?
56
What is 211 minutes after 6:36 AM?
10:07 AM
How many minutes are there between 1:47 PM and 7:53 PM?
366
What is 582 minutes after 2:25 AM?
12:07 PM
What is 492 minutes before 8:55 AM?
12:43 AM
How many minutes are there between 5:06 AM and 5:45 AM?
39
How many minutes are there between 4:47 AM and 7:38 AM?
171
What is 414 minutes before 1:20 AM?
6:26 PM
What is 191 minutes before 10:00 PM?
6:49 PM
How many minutes are there between 2:56 AM and 1:05 PM?
609
How many minutes are there between 4:46 AM and 3:27 PM?
641
How many minutes are there between 3:57 PM and 2:22 AM?
625
How many minutes are there between 12:32 AM and 8:08 AM?
456
What is 115 minutes after 7:35 PM?
9:30 PM
What is 155 minutes after 11:51 AM?
2:26 PM
What is 408 minutes after 2:47 PM?
9:35 PM
How many minutes are there between 10:43 PM and 8:26 AM?
583
How many minutes are there between 1:07 AM and 6:00 AM?
293
What is 130 minutes after 12:57 PM?
3:07 PM
How many minutes are there between 10:58 AM and 10:20 PM?
682
How many minutes are there between 9:51 PM and 12:20 AM?
149
How many minutes are there between 2:07 PM and 11:26 PM?
559
What is 89 minutes before 4:36 AM?
3:07 AM
What is 454 minutes after 1:27 PM?
9:01 PM
How many minutes are there between 5:20 PM and 2:23 AM?
543
What is 223 minutes after 8:18 AM?
12:01 PM
How many minutes are there between 8:49 AM and 11:23 AM?
154
How many minutes are there between 1:31 AM and 1:18 PM?
707
How many minutes are there between 11:59 AM and 10:56 PM?
657
How many minutes are there between 1:13 PM and 1:15 PM?
2
What is 391 minutes after 9:40 PM?
4:11 AM
What is 692 minutes after 11:59 PM?
11:31 AM
How many minutes are there between 7:48 PM and 12:13 AM?
265
How many minutes are there between 2:08 AM and 8:36 AM?
388
How many minutes are there between 1:05 PM and 1:47 PM?
42
How many minutes are there between 8:13 AM and 7:41 PM?
688
What is 296 minutes after 4:19 AM?
9:15 AM
How many minutes are there between 7:31 PM and 2:29 AM?
418
How many minutes are there between 10:44 AM and 10:02 PM?
678
What is 585 minutes before 5:44 PM?
7:59 AM
What is 50 minutes before 1:24 AM?
12:34 AM
What is 33 minutes after 3:56 PM?
4:29 PM
What is 244 minutes before 2:00 PM?
9:56 AM
What is 197 minutes before 6:12 AM?
2:55 AM
What is 496 minutes before 6:59 PM?
10:43 AM
What is 528 minutes after 1:27 PM?
10:15 PM
How many minutes are there between 3:46 AM and 12:34 PM?
528
What is 154 minutes after 12:44 AM?
3:18 AM
What is 10 minutes before 5:57 AM?
5:47 AM
What is 289 minutes after 7:42 PM?
12:31 AM
How many minutes are there between 3:34 AM and 7:31 AM?
237
What is 586 minutes after 5:17 AM?
3:03 PM
How many minutes are there between 8:37 AM and 8:51 AM?
14
How many minutes are there between 9:16 AM and 7:57 PM?
641
How many minutes are there between 7:41 PM and 3:04 AM?
443
How many minutes are there between 10:53 AM and 8:00 PM?
547
What is 514 minutes after 1:56 AM?
10:30 AM
What is 194 minutes after 1:44 AM?
4:58 AM
How many minutes are there between 6:20 AM and 3:50 PM?
570
What is 166 minutes before 8:47 AM?
6:01 AM
What is 620 minutes after 6:07 PM?
4:27 AM
How many minutes are there between 11:06 AM and 3:03 PM?
237
What is 266 minutes after 6:33 AM?
10:59 AM
What is 279 minutes before 10:29 PM?
5:50 PM
What is 41 minutes before 4:09 PM?
3:28 PM
What is 323 minutes after 6:57 AM?
12:20 PM
How many minutes are there between 1:35 PM and 9:28 PM?
473
How many minutes are there between 3:30 AM and 5:27 AM?
117
How many minutes are there between 2:21 AM and 7:41 AM?
320
What is 88 minutes after 11:47 PM?
1:15 AM
What is 586 minutes before 1:35 PM?
3:49 AM
How many minutes are there between 8:02 PM and 7:35 AM?
693
How many minutes are there between 2:33 AM and 10:45 AM?
492
What is 697 minutes before 3:44 PM?
4:07 AM
How many minutes are there between 12:51 PM and 11:16 PM?
625
What is 341 minutes after 5:06 AM?
10:47 AM
How many minutes are there between 11:37 PM and 6:38 AM?
421
How many minutes are there between 1:54 PM and 1:14 AM?
680
What is 158 minutes after 1:48 PM?
4:26 PM
What is 706 minutes before 12:54 AM?
1:08 PM
What is 102 minutes before 2:18 PM?
12:36 PM
What is 144 minutes before 3:33 PM?
1:09 PM
What is 318 minutes before 8:55 AM?
3:37 AM
What is 699 minutes after 2:37 PM?
2:16 AM
How many minutes are there between 4:39 AM and 10:51 AM?
372
How many minutes are there between 8:15 PM and 3:16 AM?
421
How many minutes are there between 12:46 PM and 12:23 AM?
697
What is 246 minutes after 10:55 AM?
3:01 PM
How many minutes are there between 9:03 AM and 12:08 PM?
185
What is 313 minutes after 8:56 PM?
2:09 AM
What is 303 minutes after 3:51 PM?
8:54 PM
How many minutes are there between 6:26 AM and 8:33 AM?
127
What is 607 minutes before 11:46 AM?
1:39 AM
How many minutes are there between 5:16 PM and 4:58 AM?
702
What is 117 minutes after 9:17 AM?
11:14 AM
What is 582 minutes after 4:48 PM?
2:30 AM
What is 526 minutes before 5:14 PM?
8:28 AM
What is 244 minutes before 9:40 PM?
5:36 PM
How many minutes are there between 3:54 AM and 2:40 PM?
646
How many minutes are there between 8:13 AM and 10:41 AM?
148
What is 647 minutes before 7:08 PM?
8:21 AM
What is 373 minutes after 5:32 PM?
11:45 PM
How many minutes are there between 8:19 PM and 11:11 PM?
172
What is 708 minutes after 3:47 AM?
3:35 PM
How many minutes are there between 6:59 PM and 9:20 PM?
141
How many minutes are there between 8:37 PM and 10:24 PM?
107
What is 473 minutes after 8:28 PM?
4:21 AM
What is 49 minutes after 12:35 AM?
1:24 AM
How many minutes are there between 1:35 PM and 11:59 PM?
624
What is 92 minutes before 8:41 PM?
7:09 PM
How many minutes are there between 1:22 AM and 2:52 AM?
90
How many minutes are there between 2:10 AM and 10:00 AM?
470
How many minutes are there between 5:29 AM and 11:45 AM?
376
What is 504 minutes after 11:50 PM?
8:14 AM
How many minutes are there between 11:45 PM and 6:23 AM?
398
What is 439 minutes before 9:28 PM?
2:09 PM
What is 252 minutes after 9:45 AM?
1:57 PM
How many minutes are there between 2:38 AM and 3:55 AM?
77
How many minutes are there between 3:18 AM and 4:07 AM?
49
What is 91 minutes before 3:07 PM?
1:36 PM
How many minutes are there between 8:16 PM and 1:44 AM?
328
What is 647 minutes after 4:51 AM?
3:38 PM
What is 289 minutes before 6:05 PM?
1:16 PM
What is 135 minutes before 3:28 PM?
1:13 PM
What is 186 minutes after 10:49 PM?
1:55 AM
How many minutes are there between 7:36 PM and 10:22 PM?
166
How many minutes are there between 8:37 AM and 10:08 AM?
91
How many minutes are there between 10:21 PM and 9:41 AM?
68
|
{
"pile_set_name": "DM Mathematics"
}
|
AM?
660
What is 4 minutes before 7:19 AM?
7:15 AM
What is 277 minutes before 10:55 AM?
6:18 AM
What is 596 minutes after 6:06 PM?
4:02 AM
What is 704 minutes before 10:16 PM?
10:32 AM
What is 60 minutes after 12:08 AM?
1:08 AM
How many minutes are there between 1:03 AM and 4:32 AM?
209
How many minutes are there between 5:33 PM and 7:55 PM?
142
How many minutes are there between 7:50 AM and 5:20 PM?
570
What is 387 minutes before 12:58 AM?
6:31 PM
What is 714 minutes after 1:54 AM?
1:48 PM
What is 175 minutes after 11:53 AM?
2:48 PM
How many minutes are there between 7:48 PM and 10:09 PM?
141
What is 454 minutes before 11:23 PM?
3:49 PM
How many minutes are there between 10:49 AM and 6:17 PM?
448
What is 661 minutes after 4:33 AM?
3:34 PM
What is 398 minutes after 6:51 AM?
1:29 PM
What is 667 minutes after 9:01 AM?
8:08 PM
What is 44 minutes after 7:17 AM?
8:01 AM
What is 539 minutes after 12:02 PM?
9:01 PM
What is 443 minutes after 3:31 AM?
10:54 AM
What is 251 minutes after 5:51 PM?
10:02 PM
What is 446 minutes before 9:01 PM?
1:35 PM
How many minutes are there between 2:48 PM and 2:10 AM?
682
What is 160 minutes after 7:59 AM?
10:39 AM
What is 595 minutes before 9:23 PM?
11:28 AM
How many minutes are there between 9:20 AM and 7:38 PM?
618
What is 530 minutes after 8:43 AM?
5:33 PM
What is 89 minutes before 8:12 PM?
6:43 PM
What is 611 minutes after 8:36 PM?
6:47 AM
How many minutes are there between 2:47 AM and 6:43 AM?
236
How many minutes are there between 11:04 PM and 1:49 AM?
165
What is 507 minutes after 1:46 PM?
10:13 PM
What is 423 minutes after 3:31 AM?
10:34 AM
How many minutes are there between 9:31 PM and 1:14 AM?
223
What is 92 minutes before 1:43 PM?
12:11 PM
What is 682 minutes after 11:23 PM?
10:45 AM
How many minutes are there between 5:12 AM and 3:08 PM?
596
How many minutes are there between 11:25 AM and 4:35 PM?
310
How many minutes are there between 9:32 AM and 9:52 AM?
20
How many minutes are there between 5:19 AM and 5:28 AM?
9
What is 646 minutes before 1:04 PM?
2:18 AM
How many minutes are there between 11:05 AM and 9:35 PM?
630
How many minutes are there between 4:54 AM and 9:56 AM?
302
How many minutes are there between 5:24 AM and 10:13 AM?
289
What is 639 minutes after 4:59 AM?
3:38 PM
How many minutes are there between 5:19 PM and 10:12 PM?
293
How many minutes are there between 2:24 PM and 6:48 PM?
264
What is 391 minutes after 9:05 PM?
3:36 AM
What is 82 minutes before 9:22 PM?
8:00 PM
What is 472 minutes before 10:35 AM?
2:43 AM
What is 50 minutes before 10:39 PM?
9:49 PM
How many minutes are there between 10:02 AM and 5:00 PM?
418
What is 367 minutes after 10:04 PM?
4:11 AM
How many minutes are there between 1:11 AM and 10:14 AM?
543
What is 139 minutes before 12:47 AM?
10:28 PM
What is 689 minutes before 2:55 PM?
3:26 AM
What is 277 minutes before 9:34 AM?
4:57 AM
What is 446 minutes after 7:59 AM?
3:25 PM
What is 474 minutes after 3:03 AM?
10:57 AM
How many minutes are there between 8:16 AM and 4:27 PM?
491
How many minutes are there between 12:01 AM and 8:51 AM?
530
What is 141 minutes before 11:33 AM?
9:12 AM
How many minutes are there between 9:35 PM and 12:36 AM?
181
What is 126 minutes before 2:13 PM?
12:07 PM
How many minutes are there between 2:29 PM and 7:38 PM?
309
What is 63 minutes after 1:45 AM?
2:48 AM
What is 51 minutes after 3:50 AM?
4:41 AM
How many minutes are there between 2:16 AM and 4:07 AM?
111
How many minutes are there between 3:37 PM and 6:51 PM?
194
How many minutes are there between 7:37 PM and 1:21 AM?
344
How many minutes are there between 3:22 AM and 7:42 AM?
260
What is 186 minutes before 10:30 AM?
7:24 AM
How many minutes are there between 10:15 PM and 11:06 PM?
51
What is 675 minutes before 10:11 PM?
10:56 AM
What is 344 minutes before 8:30 PM?
2:46 PM
How many minutes are there between 6:18 AM and 10:24 AM?
246
How many minutes are there between 4:00 PM and 6:01 PM?
121
How many minutes are there between 1:09 AM and 12:38 PM?
689
How many minutes are there between 9:26 PM and 5:31 AM?
485
How many minutes are there between 1:56 AM and 3:26 AM?
90
What is 595 minutes before 6:46 PM?
8:51 AM
What is 588 minutes before 1:12 PM?
3:24 AM
How many minutes are there between 8:43 PM and 7:40 AM?
657
What is 238 minutes before 9:09 AM?
5:11 AM
How many minutes are there between 8:02 PM and 2:13 AM?
371
How many minutes are there between 5:20 PM and 4:32 AM?
672
How many minutes are there between 9:28 AM and 9:55 AM?
27
How many minutes are there between 2:25 PM and 12:56 AM?
631
What is 693 minutes after 3:42 PM?
3:15 AM
How many minutes are there between 3:20 AM and 2:37 PM?
677
How many minutes are there between 6:23 PM and 7:05 PM?
42
How many minutes are there between 11:57 PM and 1:48 AM?
111
What is 693 minutes after 10:35 AM?
10:08 PM
How many minutes are there between 7:51 PM and 2:25 AM?
394
How many minutes are there between 4:50 PM and 12:27 AM?
457
What is 402 minutes after 10:33 AM?
5:15 PM
How many minutes are there between 1:50 AM and 7:45 AM?
355
How many minutes are there between 12:47 PM and 4:01 PM?
194
How many minutes are there between 12:30 AM and 3:04 AM?
154
How many minutes are there between 7:52 PM and 7:08 AM?
676
What is 327 minutes before 9:37 PM?
4:10 PM
How many minutes are there between 8:09 AM and 2:04 PM?
355
What is 401 minutes after 1:46 AM?
8:27 AM
What is 667 minutes after 9:43 AM?
8:50 PM
How many minutes are there between 5:54 AM and 2:53 PM?
539
How many minutes are there between 1:17 PM and 9:04 PM?
467
How many minutes are there between 12:48 AM and 1:30 AM?
42
How many minutes are there between 11:34 AM and 6:59 PM?
445
How many minutes are there between 6:34 PM and 8:24 PM?
110
How many minutes are there between 7:25 PM and 1:20 AM?
355
How many minutes are there between 4:49 AM and 9:15 AM?
266
What is 166 minutes before 10:27 AM?
7:41 AM
What is 372 minutes after 3:45 PM?
9:57 PM
What is 468 minutes after 3:00 PM?
10:48 PM
What is 679 minutes before 4:29 PM?
5:10 AM
How many minutes are there between 9:50 PM and 7:34 AM?
584
What is 595 minutes before 7:20 AM?
9:25 PM
What is 576 minutes after 5:35 PM?
3:11 AM
What is 675 minutes before 3:24 PM?
4:09 AM
What is 304 minutes before 5:40 PM?
12:36 PM
What is 172 minutes before 1:13 PM?
10:21 AM
What is 532 minutes after 1:55 PM?
10:47 PM
What is 149 minutes after 1:28 AM?
3:57 AM
How many minutes are there between 3:17 AM and 6:23 AM?
186
What is 646 minutes after 2:15 AM?
1:01 PM
What is 152 minutes after 8:16 PM?
10:48 PM
How many minutes are there between 9:28 AM and 7:23 PM?
595
How many minutes are there between 7:07 PM and 7:34 PM?
27
How many minutes are there between 2:58 PM and 2:13 AM?
675
What is 243 minutes before 2:39 PM?
10:36 AM
How many minutes are there between 11:51 AM and 5:57 PM?
366
What is 456 minutes before 2:18 PM?
6:42 AM
What is 399 minutes after 5:03 AM?
11:42 AM
How many minutes are there between 3:51 PM and 4:35 PM?
44
What is 286 minutes before 9:55 PM?
5:09 PM
What is 250 minutes before 7:17 AM?
3:07 AM
How many minutes are there between 3:33 AM and 1:56 PM?
623
How many minutes are there between 1:39 PM and 4:07 PM?
148
What is 77 minutes after 11:35 PM?
12:52 AM
How many minutes are there between 12:26 PM and 10:35 PM?
609
How many minutes are there between 3:30 AM and 3:41 AM?
11
What is 204 minutes after 8:19 AM?
11:43 AM
How many minutes are there between 4:48 AM and 3:58 PM?
670
What is 687 minutes before 6:25 AM?
6:58 PM
How many minutes are there between 7:40 PM and 11:35 PM?
235
What is 90 minutes before 11:10 PM?
9:40 PM
How many minutes are there between 4:47 PM and 4:33 AM?
706
What is 121 minutes after 11:44 PM?
1:45 AM
How many minutes are there between 2:33 AM and 11:39 AM?
546
What is 44 minutes after 2:03 AM?
2:47 AM
What is 144 minutes before 8:31 AM?
6:07 AM
What is 139 minutes before 9:03 AM?
6:44 AM
What is 630 minutes before 5:46 AM?
7:16 PM
How many minutes are there between 11:35 PM and 9:32 AM?
597
How many minutes are there between 4:15 PM and 9:20 PM?
305
How many minutes are there between 12:43 AM and 10:55 AM?
612
What is 240 minutes before 9:04 PM?
5:04 PM
What is 599 minutes after 8:26 PM?
6:25 AM
How many minutes are ther
|
{
"pile_set_name": "DM Mathematics"
}
|
?
False
Is 40329857 composite?
True
Is 181091213 a prime number?
False
Is 14263521 composite?
True
Is 6933541 a composite number?
True
Is 52894367 composite?
True
Is 387831517 prime?
True
Is 63044363 prime?
True
Is 4299679 prime?
False
Is 9667459 composite?
False
Is 29773187 a composite number?
False
Is 621139 a composite number?
False
Is 1803493 a composite number?
False
Is 326357 composite?
True
Is 6170933 a prime number?
True
Is 1125333101 a composite number?
False
Is 17025511 composite?
False
Is 38693519 composite?
True
Is 6286903 prime?
False
Is 394861 a prime number?
True
Is 6070433 composite?
False
Is 4327949 composite?
True
Is 1005883 a composite number?
False
Is 10641557 a composite number?
False
Is 5267305 a composite number?
True
Is 14855617 prime?
False
Is 4087301 a prime number?
True
Is 28010053 a composite number?
False
Is 26513 a composite number?
False
Is 3719119 a composite number?
False
Is 534431 a prime number?
True
Is 26905357 composite?
True
Is 10004315 composite?
True
Is 285982417 prime?
False
Is 861691 prime?
True
Is 475011903 prime?
False
Is 87822419 composite?
False
Is 8190353 prime?
False
Is 8019265 composite?
True
Is 47466205 prime?
False
Is 9090623 prime?
True
Is 22580159 a prime number?
False
Is 652415045 a composite number?
True
Is 132929 composite?
False
Is 10217813 a prime number?
False
Is 39990389 a composite number?
False
Is 12569387 a composite number?
False
Is 9592823 a prime number?
False
Is 36701857 composite?
True
Is 543118799 prime?
True
Is 209687 prime?
True
Is 304162201 a composite number?
True
Is 502160619 composite?
True
Is 18895339 composite?
False
Is 104450447 prime?
True
Is 2257361 prime?
True
Is 52340161 a composite number?
True
Is 2078089 a prime number?
False
Is 168873079 a prime number?
True
Is 7024957 prime?
True
Is 992129 a composite number?
False
Is 36462089 prime?
False
Is 3358799 a composite number?
False
Is 461197 a prime number?
False
Is 24935233 composite?
True
Is 411491891 a prime number?
True
Is 859447 a prime number?
True
Is 603349 a composite number?
False
Is 175458739 prime?
True
Is 257727 a composite number?
True
Is 796867 a prime number?
True
Is 2858563 prime?
False
Is 25483387 a composite number?
False
Is 111758701 a prime number?
True
Is 8385863 prime?
True
Is 1949593 a composite number?
True
Is 50284613 composite?
False
Is 183331651 composite?
False
Is 36043451 a prime number?
False
Is 54982111 composite?
True
Is 35608409 prime?
False
Is 1159411 composite?
True
Is 447740219 composite?
True
Is 82252909 a prime number?
True
Is 31303219 a composite number?
True
Is 2151029 composite?
True
Is 79360859 composite?
True
Is 208876691 composite?
True
Is 3157327 a prime number?
False
Is 2594129 prime?
False
Is 395799889 composite?
False
Is 2869091 a prime number?
False
Is 26173981 prime?
True
Is 17664487 a composite number?
False
Is 4888361 composite?
True
Is 1944757 a prime number?
False
Is 586351 composite?
True
Is 20109893 prime?
True
Is 606721 prime?
True
Is 282509897 composite?
True
Is 8350831 prime?
True
Is 66507709 composite?
False
Is 10852921 a composite number?
False
Is 106248251 a prime number?
True
Is 45215879 composite?
False
Is 365969 a composite number?
False
Is 13406903 a prime number?
False
Is 3237791 a prime number?
False
Is 68521 a composite number?
False
Is 3797849 a composite number?
True
Is 38159659 composite?
False
Is 30454049 composite?
True
Is 27806833 a prime number?
True
Is 3652757 composite?
False
Is 1743869 composite?
False
Is 32910391 a composite number?
True
Is 43425923 composite?
False
Is 1410421 prime?
True
Is 317364083 composite?
False
Is 144910417 a prime number?
True
Is 59154683 a prime number?
False
Is 2564791 prime?
False
Is 12065953 composite?
True
Is 621254 composite?
True
Is 22724813 composite?
False
Is 110508461 composite?
True
Is 2616637 a composite number?
False
Is 3878639 prime?
False
Is 132338953 prime?
False
Is 74613613 a prime number?
True
Is 61386659 prime?
False
Is 45921787 a composite number?
True
Is 16500079 a prime number?
True
Is 6864038 a prime number?
False
Is 34494562 composite?
True
Is 308648789 a composite number?
False
Is 5905007 composite?
False
Is 807613211 a composite number?
False
Is 43930417 prime?
False
Is 20840459 composite?
False
Is 19919599 a composite number?
True
Is 406087631 prime?
False
Is 6868049 composite?
True
Is 33756703 composite?
False
Is 129603547 a prime number?
True
Is 9202477 a prime number?
True
Is 670443 composite?
True
Is 118663 prime?
False
Is 2458019 composite?
False
Is 278905045 prime?
False
Is 42745951 composite?
True
Is 30912551 prime?
False
Is 188750129 prime?
False
Is 615059869 composite?
True
Is 6159233 a prime number?
False
Is 1459517 a prime number?
True
Is 50416159 a composite number?
False
Is 409609 composite?
False
Is 88538413 composite?
True
Is 13740001 prime?
False
Is 10291391 composite?
True
Is 442363 composite?
False
Is 10403669 a prime number?
True
Is 597712655 a prime number?
False
Is 104722 a prime number?
False
Is 10372673 prime?
True
Is 500052529 composite?
True
Is 4363039 a prime number?
False
Is 517557281 prime?
False
Is 26793538 a composite number?
True
Is 65998223 composite?
True
Is 390511769 a composite number?
True
Is 20691731 composite?
True
Is 9877961 a composite number?
False
Is 1457783 a composite number?
False
Is 141664607 a prime number?
False
Is 6360341 composite?
True
Is 16098127 composite?
False
Is 570996851 a composite number?
False
Is 1623901 a prime number?
True
Is 3205789 composite?
False
Is 1570577 a prime number?
True
Is 43279249 a prime number?
False
Is 174227593 prime?
False
Is 599831 prime?
True
Is 104793877 a composite number?
True
Is 13244279 composite?
True
Is 30260281 prime?
True
Is 1118813 prime?
False
Is 373158437 prime?
False
Is 6371 a composite number?
True
Is 3801739 a composite number?
True
Is 59005981 prime?
False
Is 8660579 a composite number?
False
Is 749641 prime?
True
Is 1183933 prime?
True
Is 148215131 a prime number?
True
Is 2274037 a composite number?
True
Is 21456349 prime?
True
Is 361170251 a composite number?
True
Is 46701007 prime?
False
Is 4947317 a prime number?
False
Is 56245669 composite?
False
Is 17670881 prime?
False
Is 51562661 composite?
False
Is 188156597 a prime number?
True
Is 60507803 prime?
True
Is 223801351 a composite number?
True
Is 2025409 a prime number?
True
Is 273107 composite?
False
Is 3716267 prime?
False
Is 19980397 prime?
True
Is 146117459 a prime number?
False
Is 10047407 composite?
True
Is 13807933 a prime number?
False
Is 54930979 a prime number?
True
Is 47083453 composite?
False
Is 1659719 composite?
False
Is 191309507 composite?
False
Is 47744371 prime?
False
Is 18222287 composite?
False
Is 6188113 a composite number?
False
Is 3850387 prime?
True
Is 2493395 composite?
True
Is 12566347 a composite number?
True
Is 21338549 prime?
False
Is 16306747 composite?
True
Is 2895323 prime?
True
Is 9437231 a composite number?
False
Is 11612617 a composite number?
True
Is 1543727509 a prime number?
True
Is 2990123 a prime number?
True
Is 50419 a composite number?
True
Is 33292577 prime?
True
Is 2575417 a composite number?
True
Is 103192253 a composite number?
True
Is 540047 composite?
True
Is 114627251 a composite number?
False
Is 3502433 a composite number?
True
Is 17556101 prime?
False
Is 31424021 a prime number?
False
Is 17685611 prime?
True
Is 5780219 prime?
True
Is 5855093 a composite number?
False
Is 2417869 a composite number?
True
Is 269606269 a composite number?
True
Is 1996319 composite?
True
Is 393667 a prime number?
True
Is 29782163 a prime number?
True
Is 88158839 composite?
True
Is 71951809 a composite number?
False
Is 11526355 a prime number?
False
Is 250321 a composite number?
True
Is 345541 prime?
False
Is 165931 a prime number?
True
Is 9239513 prime?
True
Is 1032343 a composite number?
True
Is 26224405 composite?
True
Is 11151629 a composite number?
True
Is 6308881 a composite number?
False
Is 12722041 a prime number?
True
Is 55907 a prime number?
False
Is 18971753 prime?
False
Is 18563851 a composite number?
False
Is 1406983 a composite number?
False
Is 34401821 prime?
True
Is 2462939 a prime number?
True
Is 3486061 a composite number?
True
Is 1437745 prime?
False
Is 107237741 prime?
False
Is 4670
|
{
"pile_set_name": "DM Mathematics"
}
|
3*c**3 + 2*b**2*c**3 - 2506*b*c**3 wrt b?
84*b*c**3 + 4*c**3
What is the second derivative of -1407*i**2 + 2170*i?
-2814
What is the third derivative of 298*o**5 - 68*o**2 wrt o?
17880*o**2
What is the third derivative of 250*i**6 - i**4*k**2 - 3*i**2*k**2 - 97*i*k**2 wrt i?
30000*i**3 - 24*i*k**2
What is the second derivative of 133*h*t**2 + h*t*z**3 - 36*h*t*z**2 - 3*h*z**3 + t**2*z**3 wrt t?
266*h + 2*z**3
Differentiate -270*b**3*n**3 - 1656*b**3 - 5*b**2*n**3 wrt n.
-810*b**3*n**2 - 15*b**2*n**2
What is the second derivative of s**3 - 119*s**2 - 50*s - 1 wrt s?
6*s - 238
Differentiate 197*z**2 - 18*z + 5901 wrt z.
394*z - 18
What is the second derivative of -327*t**2 + 329*t wrt t?
-654
Find the first derivative of -q*v**2 + 73*q*v - 8337*q - 4*v**2 + v wrt v.
-2*q*v + 73*q - 8*v + 1
Find the third derivative of -l*n*v**3 - 3*l*n*v + 7*n*v**3 + 47*n*v**2 - v**3 wrt v.
-6*l*n + 42*n - 6
Differentiate -139*b**3 + 244 with respect to b.
-417*b**2
What is the derivative of 38*b**3*g*p*q - 3*b**3*q - 2*b**3 + b**2*p**2*q - 6*b*q - 202*g*p**2*q + 2*p**2*q wrt g?
38*b**3*p*q - 202*p**2*q
Find the third derivative of 11290*c**3*k**2 + c**2 - c*k**2 + 9*k**2 - 12 wrt c.
67740*k**2
Find the second derivative of 1117*w**2*z**2 - 3*w**2*z + 692*w + z**2 wrt z.
2234*w**2 + 2
What is the second derivative of -2*v**5 - 871*v**4 + 382*v?
-40*v**3 - 10452*v**2
What is the third derivative of h**4*l**3 - 24*h**4 + 2*h**3*l**3 - 4*h**2*l + 2*h*l**3 + h*l**2 wrt h?
24*h*l**3 - 576*h + 12*l**3
What is the derivative of 23*c**2 - 3*c + 10632?
46*c - 3
Find the first derivative of -63*a*g**2*x - 2*a*g**2 + a*g*x**3 - 23*g**2*x**3 - 3*g**2*x - g*x**2 - x**3 wrt a.
-63*g**2*x - 2*g**2 + g*x**3
Find the third derivative of -1074*i**5 - 70*i**2 - 1.
-64440*i**2
Find the third derivative of 28*d**2*i**2*t**3 + 5*d**2*i**2 - d*i**2*t**3 - 2*d*i*t**2 - 2*i**2 - i wrt t.
168*d**2*i**2 - 6*d*i**2
What is the third derivative of -28*t**5 + 9*t**4 - 309*t**2 + t?
-1680*t**2 + 216*t
Find the third derivative of -l**3*p*y + 158*l**3*y**2 + 2*l**3*y - l**2*y**2 + 12*l**2*y - 102*p*y wrt l.
-6*p*y + 948*y**2 + 12*y
What is the third derivative of v**6 - 640*v**4 + 45*v**2 + 80*v?
120*v**3 - 15360*v
What is the derivative of -149*a*g*l**3 + 37*a - g*l**3 + 6*l**3 wrt g?
-149*a*l**3 - l**3
What is the third derivative of -24*d**3*l*t**2 - 3*d**3*t**3 - 2*d**2*l*t**3 + 22*d**2*t**3 + 2*l*t**3 wrt d?
-144*l*t**2 - 18*t**3
Find the third derivative of -395*n**3 - 493*n**2 + 2*n + 5.
-2370
Find the first derivative of -d**2*n**3 - 5*d**2 - 86*d + 843*n**4 wrt n.
-3*d**2*n**2 + 3372*n**3
What is the first derivative of 2669*c*r**3 + 1336*r**3 wrt c?
2669*r**3
What is the third derivative of o**5 - 570*o**4 - o**2 + 341?
60*o**2 - 13680*o
What is the third derivative of -3*a**2*j**4 + 53*a**2*j**2 + 15*a*j**4 + 2*a*j**2 wrt j?
-72*a**2*j + 360*a*j
What is the third derivative of -8*p**4*r**3 + 11*p**4*r**2 + 5*p**2*r**3 - 607*r**3 wrt p?
-192*p*r**3 + 264*p*r**2
What is the second derivative of -1413*o**2 + 11827*o?
-2826
Find the third derivative of 2*a**5*c + 2*a**4*c + 317*a**3*c - 975*a**2*c + 3*a**2 wrt a.
120*a**2*c + 48*a*c + 1902*c
Differentiate 1332*y**2 - 563 wrt y.
2664*y
What is the derivative of -g**3 + 856*g - 3360?
-3*g**2 + 856
Find the first derivative of -k*p**2*y**3 - 123*k*p*y**3 - 17*p**2*y**3 + 33*p**2*y**2 wrt k.
-p**2*y**3 - 123*p*y**3
What is the second derivative of -443*w**5 - 467*w + 2 wrt w?
-8860*w**3
Differentiate 23*q**3 - 4*q*z**2 - 21*z**2 - 7 with respect to q.
69*q**2 - 4*z**2
Find the first derivative of -77*j**3 - j**2 + 41*j - 301.
-231*j**2 - 2*j + 41
What is the third derivative of -2834*n**4 + 372*n**2 + 4 wrt n?
-68016*n
What is the second derivative of 8099*q**4*u + 733*q + 13*u wrt q?
97188*q**2*u
What is the third derivative of -4932*t**6 - 2*t**5 + 21*t**2 - 27*t - 1 wrt t?
-591840*t**3 - 120*t**2
What is the second derivative of -11*b**5 + 2*b**2 + 10*b wrt b?
-220*b**3 + 4
Find the second derivative of 4588*h**4 + 150*h wrt h.
55056*h**2
Find the second derivative of 16*d**3*k**3 + 50*d**3*k - 7*d*k + 2*k**3 - k wrt d.
96*d*k**3 + 300*d*k
What is the first derivative of -2400*b*i**2 + 632*i**2 wrt b?
-2400*i**2
Find the third derivative of 84*f**2*s**3 + f**2*s**2 - 3*f**2 + 2*s**5 + 3*s**2 wrt s.
504*f**2 + 120*s**2
Find the second derivative of 70*p**4 - 50*p**3 - 2*p**2 + 6914*p wrt p.
840*p**2 - 300*p - 4
What is the third derivative of 2*n**5*u**2 + 20*n**4*u**3 - 5*n**2 + 27*u**3 wrt n?
120*n**2*u**2 + 480*n*u**3
Find the third derivative of c*n*r**3 - c*n - 22*c*r**3 - 2*n*r**3 - 110*r**2 + 9 wrt r.
6*c*n - 132*c - 12*n
What is the third derivative of 2*n**6*q + 303*n**3*q + 5*n**2 - 2*q + 12 wrt n?
240*n**3*q + 1818*q
Find the second derivative of 1327*a**2*b**3*k + a**2*b*k + a*b**3*k + a*b**3 + 350*a*b**2*k - 2*b**3*k + 2*b*k wrt a.
2654*b**3*k + 2*b*k
Find the first derivative of 21*b**2*k**2*m**3 + 23*b**2*k**2*m - 35*b**2*m**3 - 3*b**2*m - 11*b - m wrt k.
42*b**2*k*m**3 + 46*b**2*k*m
What is the third derivative of 3*c**2*k**3 - 2*c**2*k**2*t + 230*c**2*t**2 + 11*c*k**3*t**2 + 2*k**4*t wrt k?
18*c**2 + 66*c*t**2 + 48*k*t
What is the first derivative of -52*t**2 + 186 wrt t?
-104*t
Differentiate 2*h**4 + 5*h**3 - 57*h**2 - 2396 with respect to h.
8*h**3 + 15*h**2 - 114*h
Find the third derivative of 87*d**4 - 53*d**3 - 5*d**2 + 961*d wrt d.
2088*d - 318
What is the second derivative of 960*t**3 - 3*t + 219?
5760*t
Find the third derivative of -296*f*j**3*z**3 + 2*f*j**2*z**2 + 2*j**2*z**2 - 7*z**3 wrt j.
-1776*f*z**3
What is the second derivative of -5*g**4 + 9*g**2 - 56*g wrt g?
-60*g**2 + 18
Find the second derivative of 319*t**3 - 466*t - 2.
1914*t
Find the third derivative of 15*q**3*r*s**2 - 9*q**3*r*s - 20*q**2*r*s**2 + 2*r*s**2 - 7*s**2 wrt q.
90*r*s**2 - 54*r*s
What is the second derivative of -2*b**3*o**3 - 39*b**3 + 11*b**2*o**3 - 2*b*o + 29*o**3 + 1 wrt b?
-12*b*o**3 - 234*b + 22*o**3
Find the third derivative of 332*m**6 + m**3 + 157*m**2 + m.
39840*m**3 + 6
What is the third derivative of 3513*c**4 + 23*c**2 + c + 8 wrt c?
84312*c
What is the second derivative of 180*h**3 + 592*h?
1080*h
What is the second derivative of 2*p**3 + 5074*p**2 + 636*p?
12*p + 10148
Find the second derivative of 2615*b**2 - 369*b + 2.
5230
Find the third derivative of 133*z**6 + 2*z**2 - 74 wrt z.
15960*z**3
What is the first derivative of 47*y**3 - 33*y**2 + 1522?
141*y**2 - 66*y
Find the third derivative of 3*j*q**3*z + 4*j*q**3 - 4*j*q**2*z - 81*j*q**2 + 37*q**3 wrt q.
18*j*z + 24*j + 222
Find the first derivative of -739*c**4 + 3*c**2 - 3873 wrt c.
-2956*c**3 + 6*c
Find the third derivative of -2*k**3*n**4 + 2*k**3*n**2 - 98*k*n**2 - 15*n**4 wrt n.
-48*k**3*n - 360*n
Find the second derivative of 6*c*s**2 + 22*c + 324*s**2 + 46*s wrt s.
12*c + 648
Find the second derivative of 3*h**3 - 17*h**2 + 786*h + 2 wrt h.
18*h - 34
Find the third derivative of 7105*a**3*c**3*f + a**2*c**3*f + 2*a**2*c**2*f - 34*a*c - 12*c**3 wrt a.
42630*c**3*f
What is the derivative of 112*z - 311 wrt z?
112
Find the second derivative of -102*u**3 - 3*u**2 - 61*u - 3.
-612*u - 6
What is the second derivative of 2*l**3*p - 7*l**3 + 143*l**2*p - 9*l + 29*p - 3 wrt l?
12*l*p - 42*l + 286*p
What is the third derivative of -30*d**6 + 4*d**3 + 74*d**2?
-3600*d**3 + 24
What is the second derivative of 47*a**3*z**3 + 20*a**3*z - a**3 + 78*z**4 - 68*z wrt z?
282*a**3*z + 936*z**2
Find the third derivative of -3394*u**3 + 10*u**2 - u - 4 wrt u.
-20364
Find the second derivative of 6*t**3 + 72*t**2*y + 3*t - 626*y wrt t.
36*t + 144*y
What is the derivative of 3*f**4 + 2*f**2*r**2 + 49*f + 917*r**2 wrt f?
12*f**3 + 4*f*r**2 + 49
What is the first derivative of -7047*h**3 + h - 11488 wrt h?
-21141*h**2 + 1
What is the first derivative of -219*g**2*m - g*m**2 - 3661*m**2 wrt g?
-438*g*m - m**2
What is the third derivative of -2460*d**3 - 28*d**2 + 107*d?
-14760
Find the third derivative of 100*o**4 + 21*o**3 - 781*o**2.
2400*o + 126
Differentiate 2*f**3 + 13*f**2 - 11*f + 884 wrt f.
6*f**2 + 26*f - 11
Find the second derivative of -183*n**5 + 393*n.
-3660*n**3
Differentiate 4*g**2*z - 3*g**2 - 5*g*o**2*z + 10*g*o**2 + g*o*z wrt z.
4*g**2 - 5*g*o**2 + g*o
What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
6595*n - 612. Does 12 divide r(2)?
False
Suppose -4*i + 20996 = -4*g, -91*i = -86*i - 4*g - 26243. Is 99 a factor of i?
True
Suppose -25*t + 5*t + 49702 = -58658. Does 7 divide t?
True
Let o(j) = j**3 - 14*j**2 + 12*j + 7. Let m be o(13). Let x be (10 - 16)*8/m. Suppose -x*a - 180 = -11*a. Is 10 a factor of a?
True
Suppose -215*c - 11*c - 126563 + 1225149 = 0. Is c a multiple of 10?
False
Suppose 5*w - 58 = 7. Suppose 0 = a - 0*s + 4*s - 24, 5*s - w = 3*a. Is 32 a factor of a - 1/((-2)/8)*71?
True
Let g(w) = 338*w + 399. Is g(18) a multiple of 79?
False
Suppose 10837 = 54*c - 665. Does 3 divide c?
True
Suppose 4*g = -5*k + 5*g + 27, k + 3 = 3*g. Is 12 a factor of 1034/k + -6*(-3)/27?
False
Suppose 3*f - 2*a - 2491 = 6783, 4*f - 12384 = -2*a. Is f a multiple of 14?
True
Suppose -22*v - 2*d + 5503 = -19*v, -6*d = -2*v + 3698. Is v a multiple of 4?
False
Is (-217)/93 - 6307/(-3) a multiple of 6?
True
Suppose -3*w - 12 = -0*w. Let g(b) = 1 - 107*b**2 - 8*b + 67*b**2 + 39*b**2. Is g(w) a multiple of 3?
False
Let v = -22187 - -28061. Does 25 divide v?
False
Suppose 102*t - 154218 - 118428 = 0. Does 9 divide t?
True
Suppose 132*s + 720 = 133*s. Suppose -752 = -5*y + 3*p, 2*y + 5*p = -3*y + s. Is 37 a factor of y?
True
Let r(u) = -97*u - 105. Let o be r(-18). Suppose 0 = -3*x + 483 + o. Does 12 divide x?
True
Let k(h) = 103*h - 5044. Is 67 a factor of k(62)?
False
Suppose -6*m + 31 = 7. Suppose -m*b - 2*f = 3*f + 1066, 1355 = -5*b + 5*f. Let p = 398 + b. Is p a multiple of 16?
False
Suppose -j - 2*r + 868 = 2*r, 2*j + 4*r - 1748 = 0. Suppose i - j = -9*i. Suppose -3*v + i = 5*v. Is v a multiple of 6?
False
Suppose v + 2509 = -16*w + 18*w, w = v + 1258. Does 2 divide w?
False
Let m(n) = -107*n + 76. Let u be (5/45*3)/((-3)/54). Is 15 a factor of m(u)?
False
Is 5 a factor of ((-293536)/24)/(8*5/(-60))?
False
Suppose -3*p + 151 + 485 = 0. Let g = 250 - p. Does 9 divide g?
False
Suppose -2460 = -4*w + 2*w. Let n = w - 871. Is n a multiple of 25?
False
Let u(c) = c**3 + 54*c**2 - 145*c + 153. Is u(-54) a multiple of 42?
False
Let a be (56/(-16) - -6)*2. Suppose 4*w = -2*y + 938, a*y + 1238 = 4*w + 335. Is w a multiple of 8?
True
Let f(x) be the first derivative of -61*x**2/2 - 2*x - 5. Suppose -4*i - 2*m = 0, 0*i + 2*i = 2*m - 12. Does 30 divide f(i)?
True
Suppose 3 = -2*z + 11. Let k(l) = l**2 + z + 10 - l - 21. Does 9 divide k(7)?
False
Is 20 a factor of (-4)/(-2)*(274 + 30480)*(-3)/(-4)?
False
Let i(m) = -6*m - 5*m + 4*m + m**2. Let n be i(6). Does 8 divide (4/(-6))/2 + (-260)/n?
False
Let z(u) = 5*u**2 - 6*u + 20. Let k be (2/(-8))/(31/(-372)). Is z(k) a multiple of 4?
False
Does 21 divide (30/9)/((-4)/12) + 3884?
False
Let v(i) = 11*i**2 - 103*i - 1177. Is v(-11) a multiple of 2?
False
Suppose 10*r + 28280 - 128000 = 0. Is r a multiple of 3?
True
Let a = -67 - -84. Suppose -174 = 14*g - a*g. Is g a multiple of 29?
True
Let s be (-33)/(-9) + (14/(-6))/(-7). Let z be (-26)/(-10) - s/(-10) - -11. Let v = 37 - z. Is v a multiple of 2?
False
Suppose 1653 = 5*l + 3*r, 2153 = 5*l - 2*r + 505. Suppose -l - 993 = -7*h. Is h a multiple of 9?
True
Let f(a) = -11*a**2 - 9*a - 26. Let t(o) = 31*o**2 + 27*o + 76. Let b(u) = -17*f(u) - 6*t(u). Does 23 divide b(16)?
False
Let b be (3/(-2))/(9/(-12)). Suppose -15 = p - b*x - x, p + 5*x = -31. Does 7 divide (-24)/56 - 198/p?
False
Suppose -3*u + 16 = u. Suppose u*h + 20 = 3*h. Is 12 a factor of (h/(-15))/(4/174)?
False
Suppose -4*j + 17 = -3*j + f, -5*f = -3*j + 27. Suppose -j*w = -20*w + 318. Is w a multiple of 9?
False
Let o(c) = -c**3 + c**2 - c + 1. Let l(u) = -u**3 + 22*u**2 - 15*u + 44. Let y(a) = -l(a) + 2*o(a). Does 9 divide y(-21)?
True
Suppose 40*w - 16286 = 17154. Is w a multiple of 40?
False
Let k(z) = -179*z + 63. Let m be k(-6). Suppose 6*o - 399 - m = 0. Is 32 a factor of o?
True
Let x be ((-275)/20)/((-1)/4). Is 16 a factor of 7579/x + 7 - (-8)/(-10)?
True
Let o(z) = 4*z**2 + 3*z + 19. Suppose a + 4 = -5*v, v - 1 = -0. Let q be o(a). Is -1 - -4 - q/(-2)*1 a multiple of 18?
False
Suppose -5*m = 4*d - 32384, 9*d - 8*d - 6476 = -m. Does 90 divide m?
True
Let o = 917 - -833. Is o a multiple of 7?
True
Let x(b) be the second derivative of -2/3*b**3 - 17*b + 19/2*b**2 + 0 + 1/12*b**4. Does 6 divide x(8)?
False
Let v(z) = 4*z**3 + 48*z**2 - 47*z - 47. Let w(g) = -g**3 - 12*g**2 + 12*g + 12. Let u(b) = 2*v(b) + 9*w(b). Does 3 divide u(-14)?
True
Let f(l) = -662*l - 4288. Does 15 divide f(-14)?
True
Let t be (4 - -2)/3 - 9. Let y be (-2)/t - (-1250)/35. Suppose -5*l + y = -49. Is 17 a factor of l?
True
Let b(v) = 15*v**2 - 16*v - 180. Is 23 a factor of b(-7)?
True
Let v be (3 - -21)/((-15)/(-10)). Let z(a) = 11 - 3 - 14*a - 7 - a**3 - 6 + v*a**2. Is 5 a factor of z(15)?
True
Suppose 5*d + 5*f - 1140 = 0, 2*d - 5*f + 4*f = 459. Suppose -2*p = -3*r + 18, 0 = r - 74*p + 69*p - 19. Is 6 a factor of r/14 + d/7 - 3?
True
Suppose 8344*l - 8361*l = -23188. Does 62 divide l?
True
Does 10 divide 2702/9 - (-138)/(-621)?
True
Let l = -242 + 981. Suppose 9*c + l = 8695. Does 26 divide c?
True
Suppose -v + 6613 = -5*r - 6849, 53967 = 4*v - 3*r. Does 33 divide v?
True
Suppose 5*g - 11 = 29. Let w be 5*g/(-160) + (-1070)/8. Let y = -128 - w. Does 3 divide y?
True
Is 9 a factor of 320/(-60)*(-4338)/12?
False
Let m(z) = 214*z - 40. Let q be m(5). Suppose 230 + q = -15*j. Is (j/5)/(9/(-30)) a multiple of 7?
True
Suppose -2*q + t + 4*t + 33 = 0, 4*q = -3*t + 1. Does 25 divide 2/q*3750/15?
True
Let o = -32 - -36. Let u = 3 + o. Suppose -u*h = -0*h - 112. Is h a multiple of 3?
False
Suppose 5450*a - 5437*a = 440128. Is a a multiple of 18?
False
Let b(i) = -i**2 + i + 31. Let z be b(-5). Let t be (1 - -2) + -2 + z + 539. Suppose 3*o - o - 5*s - 281 = 0, 4*o = 3*s + t. Is 7 a factor of o?
True
Let i(a) = -a**3 - 4*a**2 + 14*a + 67. Let c be i(-6). Suppose 0 = -47*v + c*v - 6152. Is v a multiple of 32?
False
Let g = -7 - -127. Suppose -74*n + 79*n = g. Is 8 a factor of n?
True
Suppose 39*g + 8*g = 324641 + 186014. Is 53 a factor of g?
True
Suppose 2*n = 3*q - 4, -q + 4 = 5*n + 14. Suppose 4*r + m = -0*m + 86, -r = -3*m - 28. Suppose q = 4*a - 158 - r. Does 9 divide a?
True
Let c = 2 - -16. Let t = c - 19. Is 9 a factor of t + -3 - 7*-7?
True
Let s(l) = 7*l + 16 + 4*l**3 + 7*l - 2*l**2 + 3*l**3 - 3*l - 2*l**3. Is s(6) a multiple of 21?
False
Let c = 43 - 38. Suppose 2*h = 7*l - c*l - 482, 3*h + 477 = 2*l. Does 41 divide l?
True
Let d be (2*-538)/(15/(-30)). Suppose -d - 488 = -16*u. Is u a multiple of 10?
False
Let i be (174/15)/((-46)/(-15) - 3). Suppose -175*u = -i*u - 94. Does 5 divide u?
False
Let j(a) = 4*a**3 + 157*a**2 - 151*a - 18. Is j(-40) a multiple of 5?
False
Let i(y) = 4*y + 124. Let r(d) = -d - 25. Let a(l) = 3*i(l) + 16*r(l). Let q be (-1 + (-6)/(-10))*-3*(-1400)/140. Is a(q) a multiple of 2?
True
Suppose 27759 - 7085 = 3*f - b, f - 6878 = 3*b. Does 24 divide f?
False
Let w = 448 - 443. Is w + 3/(30/440) even?
False
Suppose -10*s = 5*l - 13*s - 783, 4*s - 464 = -3*l. Is 12 a factor of l?
True
Is 3 a factor of 223800/250 + 18/10?
True
Let j be 3/1 + (7 - (2 - -5)). Suppose 0 = -j*f - 5*k + 386, 4*k + 9 = -11. Does 23 divide f?
False
Suppose m - 46 = -0. Suppose 26*o - 47 = 31. Suppose -4*j = -o*c + m, -5*j + 46 = c + c. Does 9 divide c?
True
Suppose -6*t = -13*t + 77. Let q(c) = -5*c**2 - 5*c + 2*c**3 - 407 - c**3 - 5*c**2 + 409. Is q(t) a multiple of 22?
False
Let c be -1 - -6*(-9)/(-6). Suppose -7*p + c = -5*p. Suppose 230 = 3*u + 5*b, -3*u - 110 = -p*u + 5*b. Is u a multiple of 20?
False
Suppose -154*f + 210*f - 16296 = 0. Does 6 divide f?
False
Is (-34 - -14 - -4) + 1377 a multiple of 12?
False
Let i be ((-36)/(-1))/((-12)/(-8)). Suppose 4*r = -5*t + i, -t = -4*r + 10 + 14. Is 37 a factor of r/(225/111 - 2)?
True
Let q be (-5 - 1) + -13*(-227 + -4). Suppose -27*f + 8802 + q = 0. Is f a multiple of 19?
True
Let l(q) = q - 7. Let z be l(22). Is 21 a factor of (-2 + 3)/(z/315)?
True
Let w = -17 - -21. Suppose 3*k - 1 - 4 = -5*l, 0 = -4*k + w*l - 36. Is 22 a factor of (k - -6) + 40 + 2?
False
Is 15 a factor of (-6 + 1188/20)*1*15?
False
Suppose 8*f = 3*f + 3835. Let l = f + -449. Is l a multiple of 54?
False
Suppose -24*x + 41*x = 6715. Let a = x - 295. Is a a multiple of 10?
True
Let d(a) = a**3 + 44*a**2 - 70*a. Is
|
{
"pile_set_name": "DM Mathematics"
}
|
13
What is the i'th term of 15827, 18963, 24189, 31505?
1045*i**2 + i + 14781
What is the h'th term of -163150, -163575, -164000, -164425, -164850?
-425*h - 162725
What is the n'th term of -8644, -7125, -4594, -1051?
506*n**2 + n - 9151
What is the r'th term of 265769485, 531538971, 797308457?
265769486*r - 1
What is the m'th term of 1422, 3794, 7746, 13278?
790*m**2 + 2*m + 630
What is the r'th term of 38393412, 76786821, 115180230, 153573639, 191967048?
38393409*r + 3
What is the n'th term of 145922, 290977, 436032, 581087, 726142?
145055*n + 867
What is the d'th term of -151, -96, -147, -358, -783, -1476, -2491?
-9*d**3 + d**2 + 115*d - 258
What is the g'th term of 759711, 1519929, 2280147, 3040365?
760218*g - 507
What is the k'th term of -779446217, -1558892432, -2338338647, -3117784862, -3897231077, -4676677292?
-779446215*k - 2
What is the x'th term of 57, -335, -1079, -2175?
-176*x**2 + 136*x + 97
What is the t'th term of 487229, 974461, 1461667, 1948835, 2435953?
-2*t**3 - t**2 + 487249*t - 17
What is the n'th term of 1594833, 3189624, 4784415?
1594791*n + 42
What is the k'th term of -880, -793, -654, -469, -244, 15, 302, 611?
-k**3 + 32*k**2 - 2*k - 909
What is the g'th term of 19836, 19034, 18270, 17550, 16880, 16266?
g**3 + 13*g**2 - 848*g + 20670
What is the v'th term of -1195040, -1194984, -1194928, -1194872, -1194816?
56*v - 1195096
What is the j'th term of 61369438, 122738876, 184108314, 245477752?
61369438*j
What is the x'th term of -8554, -15659, -21302, -25483?
731*x**2 - 9298*x + 13
What is the w'th term of -1897, -4034, -6213, -8440, -10721, -13062?
-w**3 - 15*w**2 - 2085*w + 204
What is the n'th term of 68324, 68213, 68004, 67649, 67100, 66309?
-8*n**3 - n**2 - 52*n + 68385
What is the n'th term of -37018975, -74037955, -111056935?
-37018980*n + 5
What is the p'th term of 5583, 5372, 4835, 3810, 2135?
-27*p**3 - p**2 - 19*p + 5630
What is the c'th term of 16412, 32624, 48836, 65048, 81260?
16212*c + 200
What is the i'th term of 199294719, 199294718, 199294717, 199294716?
-i + 199294720
What is the s'th term of -103981509, -207963012, -311944515?
-103981503*s - 6
What is the f'th term of -4441496, -8882999, -13324502?
-4441503*f + 7
What is the p'th term of 102, -506, -1732, -3570, -6014, -9058, -12696?
p**3 - 315*p**2 + 330*p + 86
What is the c'th term of 2407554, 4815093, 7222632, 9630171, 12037710, 14445249?
2407539*c + 15
What is the u'th term of 496, 963, 1374, 1723, 2004, 2211, 2338, 2379?
-u**3 - 22*u**2 + 540*u - 21
What is the s'th term of -1798, -3539, -5234, -6889, -8510, -10103, -11674?
-s**3 + 29*s**2 - 1821*s - 5
What is the y'th term of -115204, -127395, -139586, -151777?
-12191*y - 103013
What is the o'th term of 313793, 313796, 313799?
3*o + 313790
What is the y'th term of 9291624, 18583275, 27874926, 37166577, 46458228?
9291651*y - 27
What is the c'th term of 10731, 20844, 30957, 41070, 51183, 61296?
10113*c + 618
What is the w'th term of 8410, 16500, 24590, 32680?
8090*w + 320
What is the a'th term of -21713905, -21713907, -21713909, -21713911, -21713913?
-2*a - 21713903
What is the l'th term of -3621984, -3621987, -3621990, -3621993?
-3*l - 3621981
What is the a'th term of 200724, 200724, 200720, 200712, 200700?
-2*a**2 + 6*a + 200720
What is the g'th term of 706669, 1413361, 2120053, 2826745?
706692*g - 23
What is the b'th term of 75477, 150964, 226459, 301962, 377473, 452992, 528519?
4*b**2 + 75475*b - 2
What is the q'th term of -3277, -6520, -9735, -12922, -16081, -19212, -22315?
14*q**2 - 3285*q - 6
What is the h'th term of 59233784, 118467569, 177701354, 236935139, 296168924?
59233785*h - 1
What is the t'th term of -7185, -6715, -5945, -4881, -3529, -1895?
-t**3 + 156*t**2 + 9*t - 7349
What is the p'th term of 258, 459, 576, 609, 558, 423, 204?
-42*p**2 + 327*p - 27
What is the z'th term of 4515, 36126, 121871, 288798, 563955, 974390, 1547151?
4508*z**3 + 19*z**2 - 2*z - 10
What is the b'th term of 22801027, 22801155, 22801375, 22801693, 22802115, 22802647, 22803295, 22804065?
b**3 + 40*b**2 + b + 22800985
What is the f'th term of 8991, 12399, 15799, 19185, 22551?
-f**3 + 2*f**2 + 3409*f + 5581
What is the x'th term of 12093, 11957, 11845, 11757, 11693?
12*x**2 - 172*x + 12253
What is the l'th term of 368920, 737837, 1106758, 1475683, 1844612?
2*l**2 + 368911*l + 7
What is the m'th term of -122448, -245586, -368722, -491856?
m**2 - 123141*m + 692
What is the u'th term of -256373, -257309, -258245, -259181, -260117?
-936*u - 255437
What is the l'th term of 86508, 174506, 262504, 350502?
87998*l - 1490
What is the z'th term of -3283891, -3283973, -3284055, -3284137, -3284219, -3284301?
-82*z - 3283809
What is the k'th term of 41333, 82655, 123963, 165257, 206537, 247803, 289055?
-7*k**2 + 41343*k - 3
What is the t'th term of -76993, -307933, -692833, -1231693?
-76980*t**2 - 13
What is the g'th term of 719055, 2876262, 6471633, 11505168?
719082*g**2 - 39*g + 12
What is the d'th term of 10276, 20681, 31336, 42367, 53900, 66061?
21*d**3 - d**2 + 10261*d - 5
What is the h'th term of 32971, 33056, 33203, 33418, 33707, 34076?
h**3 + 25*h**2 + 3*h + 32942
What is the o'th term of -3543, -3240, -2915, -2562, -2175, -1748?
o**3 + 5*o**2 + 281*o - 3830
What is the s'th term of -811380, -1623028, -2434682, -3246342, -4058008, -4869680?
-3*s**2 - 811639*s + 262
What is the q'th term of 1805893, 1805894, 1805897, 1805902, 1805909, 1805918?
q**2 - 2*q + 1805894
What is the c'th term of -2613865278, -2613865279, -2613865280, -2613865281, -2613865282?
-c - 2613865277
What is the i'th term of 108578, 217245, 325912, 434579, 543246, 651913?
108667*i - 89
What is the o'th term of 176045, 352034, 528023, 704012, 880001, 1055990?
175989*o + 56
What is the l'th term of -49593880, -99187759, -148781636, -198375511?
l**2 - 49593882*l + 1
What is the u'th term of -4392190, -4392197, -4392208, -4392223, -4392242?
-2*u**2 - u - 4392187
What is the a'th term of 5397, 5413, 5431, 5451?
a**2 + 13*a + 5383
What is the q'th term of 13516, 52861, 118454, 210301, 328408, 472781, 643426?
q**3 + 13118*q**2 - 16*q + 413
What is the z'th term of 10156, 40722, 91648, 162934, 254580, 366586?
10180*z**2 + 26*z - 50
What is the u'th term of 371, 495, 375, 11, -597?
-122*u**2 + 490*u + 3
What is the u'th term of -5078823, -5078827, -5078831?
-4*u - 5078819
What is the g'th term of -774084, -774702, -776376, -779634, -785004?
-88*g**3 - 2*g - 773994
What is the f'th term of -75110, -75106, -75102, -75098, -75094, -75090?
4*f - 75114
What is the r'th term of 16037208, 16037198, 16037188, 16037178, 16037168, 16037158?
-10*r + 16037218
What is the v'th term of 2282025, 2282090, 2282217, 2282436, 2282777, 2283270, 2283945?
5*v**3 + v**2 + 27*v + 2281992
What is the a'th term of 16135, 130473, 440827, 1045207, 2041623, 3528085?
16335*a**3 - 2*a**2 - a - 197
What is the p'th term of 161855, 161860, 161861, 161858?
-2*p**2 + 11*p + 161846
What is the d'th term of -2043857, -2043850, -2043827, -2043782, -2043709, -2043602, -2043455?
d**3 + 2*d**2 - 6*d - 2043854
What is the m'th term of 52953717, 105907434, 158861151, 211814868, 264768585, 317722302?
52953717*m
What is the b'th term of 2996, 3886, 4776, 5666, 6556?
890*b + 2106
What is the m'th term of -199, -177, 315, 1517, 3669?
40*m**3 - 5*m**2 - 243*m + 9
What is the q'th term of -46641, -46879, -47117?
-238*q - 46403
What is the o'th term of 19582895, 19582894, 19582893, 19582892, 19582891, 19582890?
-o + 19582896
What is the w'th term of 37987, 73515, 109043?
35528*w + 2459
What is the b'th term of -935846, -1871691, -2807534, -3743375, -4679214, -5615051, -6550886?
b**2 - 935848*b + 1
What is the a'th term of -6605, -8888, -15081, -27140, -47021?
-326*a**3 + a**2 - 4*a - 6276
What is the v'th term of 5604, 4376, 3148?
-1228*v + 6832
What is the u'th term of -1359989, -2720034, -4080079, -5440124, -6800169?
-1360045*u + 56
What is the j'th term of -18337, -36614, -54891, -73168, -91445?
-18277*j - 60
What is the k'th term of 5572737, 5572723, 5572707, 5572695, 5572693?
k**3 - 7*k**2 + 5572743
What is the j'th term of -457, -3202, -10629, -25072, -48865, -84342, -133837, -199684?
-389*j**3 - 7*j**2 - j - 60
What is the v'th term of -2721, -1076, 1683, 5562, 10567, 16704, 23979, 32398?
v**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
igit of 3650572328?
2
What is the units digit of 202655842?
2
What is the hundred thousands digit of 1021957961?
9
What is the hundreds digit of 602342648?
6
What is the thousands digit of 345828060?
8
What is the units digit of 61006450?
0
What is the ten millions digit of 81762054?
8
What is the units digit of 96742891?
1
What is the tens digit of 4186473?
7
What is the ten millions digit of 780436207?
8
What is the ten millions digit of 196153696?
9
What is the hundred thousands digit of 204712377?
7
What is the ten millions digit of 66866048?
6
What is the hundred thousands digit of 8441712?
4
What is the hundred millions digit of 2198131522?
1
What is the ten thousands digit of 149488640?
8
What is the ten millions digit of 3899799292?
9
What is the ten thousands digit of 578419800?
1
What is the ten millions digit of 347857305?
4
What is the hundred millions digit of 758177876?
7
What is the hundred thousands digit of 48295378?
2
What is the ten thousands digit of 6278308964?
0
What is the units digit of 753814278?
8
What is the hundreds digit of 96316841?
8
What is the billions digit of 1868711416?
1
What is the hundreds digit of 2293945021?
0
What is the tens digit of 68849650?
5
What is the hundred thousands digit of 393570098?
5
What is the thousands digit of 33531682?
1
What is the units digit of 7535308?
8
What is the ten thousands digit of 547742042?
4
What is the ten millions digit of 630701095?
3
What is the millions digit of 142994832?
2
What is the millions digit of 185347163?
5
What is the tens digit of 23870267?
6
What is the ten thousands digit of 6771408?
7
What is the millions digit of 212232863?
2
What is the hundreds digit of 553930205?
2
What is the ten millions digit of 836438828?
3
What is the hundreds digit of 741607072?
0
What is the hundreds digit of 296200653?
6
What is the billions digit of 2164183781?
2
What is the thousands digit of 1170903738?
3
What is the tens digit of 12635588?
8
What is the ten millions digit of 23150290?
2
What is the ten millions digit of 3242958738?
4
What is the hundreds digit of 138445372?
3
What is the hundreds digit of 732029166?
1
What is the ten thousands digit of 67783552?
8
What is the tens digit of 241445278?
7
What is the ten millions digit of 340207408?
4
What is the hundred thousands digit of 651258503?
2
What is the billions digit of 4801420482?
4
What is the ten millions digit of 738004741?
3
What is the hundred millions digit of 419044150?
4
What is the units digit of 57898238?
8
What is the ten thousands digit of 19898579?
9
What is the millions digit of 16825482?
6
What is the hundred millions digit of 592724939?
5
What is the thousands digit of 302366928?
6
What is the hundreds digit of 12960355?
3
What is the thousands digit of 55302116?
2
What is the billions digit of 2135090309?
2
What is the millions digit of 2364519412?
4
What is the tens digit of 191818626?
2
What is the thousands digit of 103967650?
7
What is the millions digit of 72609950?
2
What is the millions digit of 1081143920?
1
What is the units digit of 269299419?
9
What is the tens digit of 2507607363?
6
What is the hundred millions digit of 198150527?
1
What is the hundreds digit of 145244813?
8
What is the hundred thousands digit of 1344299871?
2
What is the ten thousands digit of 202210736?
1
What is the hundreds digit of 177693?
6
What is the thousands digit of 116292?
6
What is the ten millions digit of 11517940?
1
What is the hundred thousands digit of 2127845653?
8
What is the units digit of 945223960?
0
What is the tens digit of 1079555379?
7
What is the hundreds digit of 1329057383?
3
What is the ten millions digit of 28152413?
2
What is the tens digit of 70916098?
9
What is the thousands digit of 84025857?
5
What is the ten thousands digit of 1829358892?
5
What is the thousands digit of 4769843285?
3
What is the hundreds digit of 359328392?
3
What is the ten millions digit of 633308038?
3
What is the hundred thousands digit of 2130804266?
8
What is the millions digit of 600179494?
0
What is the hundreds digit of 5688613632?
6
What is the ten millions digit of 4926610293?
2
What is the hundred millions digit of 120436090?
1
What is the tens digit of 3707809?
0
What is the ten millions digit of 569456138?
6
What is the units digit of 603030273?
3
What is the tens digit of 337161716?
1
What is the units digit of 70394064?
4
What is the millions digit of 104045686?
4
What is the units digit of 286092819?
9
What is the tens digit of 465541408?
0
What is the hundreds digit of 302714847?
8
What is the tens digit of 1415609602?
0
What is the ten thousands digit of 759568434?
6
What is the units digit of 61884135?
5
What is the hundred millions digit of 2098048654?
0
What is the hundreds digit of 136069095?
0
What is the ten millions digit of 42146861?
4
What is the hundreds digit of 886020?
0
What is the units digit of 17031724?
4
What is the millions digit of 145876839?
5
What is the thousands digit of 10667142?
7
What is the ten thousands digit of 1050965?
5
What is the units digit of 1852425343?
3
What is the ten thousands digit of 839992611?
9
What is the ten millions digit of 2432474964?
3
What is the billions digit of 2203765076?
2
What is the thousands digit of 16023412?
3
What is the units digit of 189384595?
5
What is the ten millions digit of 61089523?
6
What is the thousands digit of 99432117?
2
What is the hundreds digit of 33144126?
1
What is the tens digit of 68950174?
7
What is the ten millions digit of 2215872276?
1
What is the millions digit of 14405145?
4
What is the thousands digit of 30372750?
2
What is the hundred millions digit of 1252695868?
2
What is the hundred thousands digit of 38208085?
2
What is the tens digit of 47480469?
6
What is the millions digit of 26065580?
6
What is the hundred thousands digit of 4019285866?
2
What is the tens digit of 304713716?
1
What is the ten thousands digit of 312877574?
7
What is the hundred thousands digit of 945378337?
3
What is the ten thousands digit of 570936036?
3
What is the ten thousands digit of 47664424?
6
What is the thousands digit of 7071321?
1
What is the ten thousands digit of 225927436?
2
What is the tens digit of 216441193?
9
What is the tens digit of 35284259?
5
What is the ten thousands digit of 4844842205?
4
What is the ten thousands digit of 3103098263?
9
What is the thousands digit of 943387397?
7
What is the ten thousands digit of 107325763?
2
What is the units digit of 95921055?
5
What is the ten millions digit of 83094594?
8
What is the hundred millions digit of 416048965?
4
What is the thousands digit of 21546073?
6
What is the hundred thousands digit of 18606362?
6
What is the tens digit of 9223093?
9
What is the hundred thousands digit of 5622196?
6
What is the ten thousands digit of 167433631?
3
What is the units digit of 2641053612?
2
What is the units digit of 6126262373?
3
What is the billions digit of 4567447681?
4
What is the ten thousands digit of 258595334?
9
What is the tens digit of 1831718?
1
What is the thousands digit of 1109792681?
2
What is the tens digit of 397030517?
1
What is the millions digit of 122455476?
2
What is the hundred millions digit of 349912110?
3
What is the hundreds digit of 100834742?
7
What is the hundreds digit of 1294183591?
5
What is the ten millions digit of 176537421?
7
What is the hundred millions digit of 684921394?
6
What is the ten millions digit of 225674524?
2
What is the millions digit of 4257130?
4
What is the billions digit of 1901479018?
1
What is the ten millions digit of 98597828?
9
What is the millions digit of 31366443?
1
What is the ten millions digit of 354643314?
5
What is the hundreds digit of 100328643?
6
What is the millions digit of 137858941?
7
What is the millions digit of 72969782?
2
What is the millions digit of 9508480?
9
What is the hundred thousands digit of 786347295?
3
What is the ten millions digit of 672104684?
7
What is the hundreds digit of 37852051?
0
What is the hundreds digit of 48290174?
1
What is the millions digit of 56992715?
6
What is the ten thousands digit of 22115503?
1
What is the units digit of 472313566?
6
What is the thousands digit of 985584211?
4
What is the tens digit of 3446504696?
9
What is the ten thousands digit
|
{
"pile_set_name": "DM Mathematics"
}
|
4 + 3*w**2 - 8*w**2 + w**q wrt w.
72*w
Let b(c) be the first derivative of -5*c**8/56 + 5*c**4/12 - 4*c - 6. Let s(y) be the first derivative of b(y). Find the third derivative of s(t) wrt t.
-600*t**3
Let r(l) be the third derivative of -l**8/20160 - l**6/720 + l**5/30 + 4*l**2. Let p(d) be the third derivative of r(d). Differentiate p(s) wrt s.
-2*s
Let c(n) be the third derivative of n**7/280 - n**4/4 - 5*n**3/6 - 2*n**2. Let i(o) be the first derivative of c(o). Differentiate i(j) wrt j.
9*j**2
Let i(s) = -9*s**3 + 5*s**2 + 6. Let c(b) = -4*b**3 + 3*b**2 + 3. Let w(z) = -5*c(z) + 3*i(z). Find the first derivative of w(h) wrt h.
-21*h**2
Let t(k) = 2*k - 6. Let n be t(5). Suppose -5 - n = -x. Find the third derivative of -9 - w**2 + x + w**5 wrt w.
60*w**2
Let i = 1 + 24. Suppose 0 = 5*n + 5 - i. What is the second derivative of 2*d + 3*d**n - 2*d + 2*d wrt d?
36*d**2
Let y be ((-30)/(-4))/((-1)/2). Let w be (-1)/(-3 + y/(-6)). Find the second derivative of -3*t**5 - 2*t + 7*t - 3*t + w*t wrt t.
-60*t**3
Let h(o) = 11*o**4 + 9*o**3 - 9*o + 41. Let q(y) = 3*y**4 + 2*y**3 - 2*y + 10. Let d(b) = -2*h(b) + 9*q(b). Differentiate d(m) with respect to m.
20*m**3
Let n(u) = -u**2 + 4*u. Let o be n(3). Suppose -o*p + 1 = -11. What is the second derivative of r**5 - r + 0*r**4 + 0*r**p wrt r?
20*r**3
What is the third derivative of -40*q**4 + 16*q**5 + 8*q**2 + 84*q**4 - 44*q**4 wrt q?
960*q**2
Let r be (1 - 4) + -6 + 13. What is the second derivative of 5*c - 2*c**r - 5*c - c - 4*c wrt c?
-24*c**2
Let p(b) be the second derivative of -3*b**4/2 + b**2 + 5*b. What is the first derivative of p(v) wrt v?
-36*v
Let p(g) = g**4 - g**2 + g. Let o(r) = r**2 + 3*r. Let a be 3 - 1 - (1 + 0). Let f(k) = a*p(k) + o(k). What is the second derivative of f(q) wrt q?
12*q**2
Let d = 8 + -3. Let z be (-1 - d)/((-9)/6). Find the second derivative of -f**2 + 2*f - 3*f**2 + z*f**2 - 2*f**4 wrt f.
-24*f**2
Let c = -4 - -8. Suppose -18 = -3*x + 3*a, -c*a + 5 + 3 = 4*x. Find the first derivative of -1 - 5*m**2 + 5*m**2 - x*m**3 + 3 wrt m.
-12*m**2
Suppose -6*o + 2*o = 0. Let y be 2/(-1 + o - -2). What is the third derivative of y*k**4 - 2*k**4 + k**2 + k**5 wrt k?
60*k**2
Let n(d) = 4*d - 3. Let c be n(2). Find the third derivative of 4*h**5 + 0*h**5 - 3*h**2 - 6*h**c - h**2 wrt h.
-120*h**2
Let t(y) be the first derivative of y**3/3 + 8*y + 7. Find the first derivative of t(x) wrt x.
2*x
Suppose -3 = -r - r + f, -3*r + 2*f = -4. Find the third derivative of 19*s**3 - 15*s**3 + r*s**2 - 8*s**2 wrt s.
24
Let y(w) be the first derivative of 0*w**3 - 7/2*w**2 + 0*w**4 + 4 - 8/5*w**5 + 0*w. Find the second derivative of y(h) wrt h.
-96*h**2
Let k(p) = -p**2 + 5*p. Let u be k(4). What is the first derivative of 4*s**3 - u*s**3 - s**3 + 1 wrt s?
-3*s**2
Let l(t) be the second derivative of -t**7/2520 - t**5/40 + t**4/6 - t. Let d(r) be the third derivative of l(r). Find the first derivative of d(y) wrt y.
-2*y
Let y(n) be the first derivative of 0*n**2 + 3 - n + 0*n**3 + 1/2*n**4. What is the first derivative of y(s) wrt s?
6*s**2
Let g(y) be the second derivative of y**6/15 - y**3/3 - 9*y. What is the second derivative of g(q) wrt q?
24*q**2
Let r(l) be the third derivative of 3*l**9/56 + l**5/6 - l**3/6 - 3*l**2 - 18*l. What is the third derivative of r(t) wrt t?
3240*t**3
Let j(i) = -i**3 - i**2 + i. Let u(p) = 12*p**3 - 2*p**2 + 2*p + 27. Let w(n) = -2*j(n) + u(n). What is the first derivative of w(c) wrt c?
42*c**2
Let w(o) be the second derivative of -9*o**5/20 - 5*o**4/4 + 12*o. What is the third derivative of w(z) wrt z?
-54
Let q(h) = 13*h**2 + 4*h. Let t(g) = -14*g**2 - 3*g. Let y(x) = -2*q(x) - 3*t(x). Find the second derivative of y(l) wrt l.
32
Suppose -f = -2*f. Let p be f/(3/(-1 - 2)). What is the first derivative of 0*h + 5*h + 4 - h + p*h wrt h?
4
Let q be 7/2 + (-3)/6. What is the derivative of 13*n - 13*n - n**q - 1 wrt n?
-3*n**2
Let u(y) be the first derivative of y**8/14 - y**4/4 + 3*y + 3. Let a(t) be the first derivative of u(t). Find the third derivative of a(m) wrt m.
480*m**3
Let y be -2 - (-2 - -1)/((-4)/(-20)). Let i(h) be the first derivative of 1 + 0*h - 1/4*h**4 + h**y + 0*h**2. What is the third derivative of i(r) wrt r?
-6
Suppose -5*j + 2*n + 21 = -9, 0 = -3*j + 2*n + 22. Find the second derivative of -r - r**3 + j*r + r - r**3 wrt r.
-12*r
Let c(b) be the first derivative of -2/3*b**6 + 0*b**4 + 0*b + 0*b**5 + 0*b**3 + 2 - 2*b**2. What is the second derivative of c(l) wrt l?
-80*l**3
Find the second derivative of -5*o + 4*o**3 - o**3 + 2*o**3 + 2*o**3 wrt o.
42*o
What is the second derivative of 7*l**5 + 3*l**5 - 5*l - 2*l**5 wrt l?
160*l**3
Find the first derivative of -22*r**4 + 11*r**4 - 12 + 9*r**4 wrt r.
-8*r**3
Let o(g) be the third derivative of -37*g**6/120 + 13*g**5/60 - g**3/3 - 37*g**2. Find the third derivative of o(c) wrt c.
-222
Find the third derivative of s - 3*s**4 + 2*s - 3*s**2 - 3*s wrt s.
-72*s
What is the third derivative of 10*j**2 - j**3 - 107*j**4 + 96*j**4 + j**3 wrt j?
-264*j
Let z be -2 - (-15)/(-3) - -3. Let c be (-1 - 0)*(2 + z). Find the third derivative of -2*o**4 + 5*o**c - 4*o**2 + o**5 + 2*o**4 wrt o.
60*o**2
Let f(y) = 2*y**2 - 2*y - 2. Let v be f(2). What is the third derivative of 3*o + v*o + 5*o**2 - 5*o + 3*o**3 wrt o?
18
Suppose 3*s - 5*u - 11 = 0, 11 = s - 2*u + 4*u. Let p = -5 + s. Find the third derivative of 1 + 3*f**6 - 2*f**2 - 1 + 0*f**p wrt f.
360*f**3
Let w(y) be the third derivative of -23*y**9/504 + y**5/30 - 30*y**2. Find the third derivative of w(b) wrt b.
-2760*b**3
What is the third derivative of -4*h**6 - 2*h**2 + h**2 + 8*h**2 - 5*h**2 wrt h?
-480*h**3
Find the first derivative of -17*g**4 + 7*g - 12*g + 5*g - 16 wrt g.
-68*g**3
Let o(x) be the second derivative of -1/12*x**4 + 0*x**6 + 3*x + 0*x**2 + 1/42*x**7 + 0*x**3 + 0 + 0*x**5. What is the third derivative of o(f) wrt f?
60*f**2
Differentiate 6 + 3 + 10*n + 1 wrt n.
10
Let a = -6 - -4. Let h = 0 - a. What is the first derivative of -h*x**3 + 4 + 0*x**3 - 6 wrt x?
-6*x**2
Let u = -7 + 10. Find the second derivative of 3*z - 8*z**3 + 2*z**u + 4*z**3 wrt z.
-12*z
Let s(j) = -24*j**2 - 23*j. Let p(q) = -47*q**2 - 47*q. Let c(d) = 2*p(d) - 5*s(d). What is the second derivative of c(k) wrt k?
52
What is the third derivative of 0*w**2 - 2*w**2 + 2*w + 7*w**5 + 6*w**2 - 3*w**2 wrt w?
420*w**2
Let c(g) = -5*g**4 + g**4 - 3*g**2 - 3*g + 5*g - 4*g**2. Let s(h) = -2*h**4 - 4*h**2 + h. Let z(k) = -4*c(k) + 7*s(k). Find the second derivative of z(u) wrt u.
24*u**2
Let f(n) = n - 5. Let c be f(9). Let z(r) = -2*r - 2. Let b be z(-2). Find the second derivative of 0*x - x**2 + 3*x + c*x**b wrt x.
6
Let k = -3 - -5. Differentiate k*f**3 + 2 - 3*f**3 + 0 wrt f.
-3*f**2
Find the third derivative of 40 + 4*v**2 + 7*v**3 + 40 - 80 wrt v.
42
Find the first derivative of -2 - 5 + u - 2*u wrt u.
-1
Let m(v) = 133*v**3 + 9*v**2 + 177*v + 9. Let r(p) = 33*p**3 + 2*p**2 + 44*p + 2. Let s(y) = -2*m(y) + 9*r(y). What is the second derivative of s(z) wrt z?
186*z
Suppose z + 2 = 4. Let u = -7 - -9. What is the third derivative of -h**5 + h**z + h**u + 2*h**5 wrt h?
60*h**2
Suppose -1 = -3*q + 5. Suppose q*p = 3*r + 19, -17 = -p - 2*r + 5*r. Find the third derivative of a**p + 2 - 2 - 4*a**6 + 3*a**2 wrt a.
-480*a**3
Let m(j) = 3*j**2 + 6*j + 4. Let r(x) = 3*x**2 + 7*x + 5. Let w(o) = 5*m(o) - 4*r(o). What is the second derivative of w(d) wrt d?
6
Differentiate -5*z**3 - 3 + 0 + 10*z**3 + 1 wrt z.
15*z**2
Let s(t) be the second derivative of t**5/15 + t**3/6 + 3*t**2/2 - 3*t. Let d(m) be the first derivative of s(m). Find the first derivative of d(f) wrt f.
8*f
Let k(b) = b**2 - 3*b - 4. Suppose -3*p - 2*p = -30. Let n(f) = -f**2 + 7*f + 9. Let y(a) = p*n(a) + 14*k(a). Differentiate y(s) with respect to s.
16*s
Let k(p) = 6*p**3 - 4. Let f(s) = -1 + 0*s**3 + 2*s**3 - s**3. Let t(l) = 3*f(l) - k(l). Find the first derivative of t(i) wrt i.
-9*i**2
Let n(i) = 6*i**2 + 3*i - 1. Let w(d) = 23*d**2 + 11*d - 5. Let j(z) = 22*n(z) - 6*w(z). Differentiate j(h) wrt h.
-12*h
Let d(k) be the first derivative of -6*k**5/5 - k**2 + 7. What is the second derivative of d(v) wrt v?
-72*v**2
Let a(l) be the second derivative of 0*l**4 + l + 0*l**5 + 2*l**2 + 1/30*l**6 + 0
|
{
"pile_set_name": "DM Mathematics"
}
|
36606201?
6
What is the thousands digit of 685523?
5
What is the tens digit of 533084?
8
What is the tens digit of 322710?
1
What is the thousands digit of 4395419?
5
What is the thousands digit of 8667?
8
What is the hundred thousands digit of 1178603?
1
What is the hundreds digit of 24065954?
9
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0
What is the ten thousands digit of 215403?
1
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0
What is the tens digit of 17611245?
4
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5
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9
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3
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9
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3
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1
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4
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5
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8
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7
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7
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2
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9
What is the units digit of 1586251?
1
What is the thousands digit of 1319024?
9
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8
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6
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5
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8
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2
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6
What is the millions digit of 4164469?
4
What is the hundred thousands digit of 4670569?
6
What is the units digit of 16484?
4
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9
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5
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2
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6
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8
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1
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8
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6
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4
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6
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1
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6
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4
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9
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1
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9
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7
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7
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8
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0
What is the units digit of 456970?
0
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6
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8
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0
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1
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1
What is the millions digit of 7904058?
7
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0
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8
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3
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4
What is the ten thousands digit of 1356537?
5
What is the hundred thousands digit of 34351536?
3
What is the units digit of 440638?
8
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2
What is the thousands digit of 90793?
0
What is the hundred thousands digit of 123339?
1
What is the thousands digit of 2966?
2
What is the tens digit of 52776?
7
What is the units digit of 2011477?
7
What is the hundreds digit of 3545180?
1
What is the tens digit of 2574188?
8
What is the units digit of 179546?
6
What is the units digit of 464014?
4
What is the hundreds digit of 4355579?
5
What is the millions digit of 19402620?
9
What is the ten thousands digit of 103356?
0
What is the hundred thousands digit of 3813330?
8
What is the hundred thousands digit of 113676?
1
What is the thousands digit of 93052?
3
What is the thousands digit of 1247244?
7
What is the thousands digit of 208207?
8
What is the hundred thousands digit of 575644?
5
What is the hundred thousands digit of 2680033?
6
What is the units digit of 9180877?
7
What is the thousands digit of 7141809?
1
What is the hundreds digit of 5066259?
2
What is the hundred thousands digit of 185333?
1
What is the hundreds digit of 8987433?
4
What is the hundred thousands digit of 1233657?
2
What is the ten thousands digit of 7397364?
9
What is the ten thousands digit of 5360309?
6
What is the millions digit of 1104436?
1
What is the hundred thousands digit of 353466?
3
What is the tens digit of 763336?
3
What is the hundred thousands digit of 14709612?
7
What is the hundred thousands digit of 3541569?
5
What is the tens digit of 170336?
3
What is the ten thousands digit of 8703989?
0
What is the tens digit of 17278?
7
What is the hundreds digit of 806344?
3
What is the thousands digit of 3763648?
3
What is the thousands digit of 726266?
6
What is the millions digit of 2859149?
2
What is the hundreds digit of 1144272?
2
What is the ten thousands digit of 3068701?
6
What is the tens digit of 513243?
4
What is the hundreds digit of 1449320?
3
What is the thousands digit of 65868?
5
What is the hundred thousands digit of 3146626?
1
What is the millions digit of 1436741?
1
What is the ten thousands digit of 1235172?
3
What is the tens digit of 166165?
6
What is the units digit of 10514833?
3
What is the hundred thousands digit of 102587?
1
What is the thousands digit of 489455?
9
What is the hundreds digit of 7255117?
1
What is the hundred thousands digit of 33169845?
1
What is the ten thousands digit of 1061390?
6
What is the ten thousands digit of 21270620?
7
What is the units digit of 520669?
9
What is the ten thousands digit of 1074229?
7
What is the units digit of 803832?
2
What is the thousands digit of 324093?
4
What is the hundred thousands digit of 386182?
3
What is the hundreds digit of 25268945?
9
What is the hundred thousands digit of 2867247?
8
What is the ten thousands digit of 9255351?
5
What is the thousands digit of 1088461?
8
What is the hundred thousands digit of 6311329?
3
What is the tens digit of 36214?
1
What is the units digit of 1554819?
9
What is the thousands digit of 9573913?
3
What is the hundred thousands digit of 483143?
4
What is the ten thousands digit of 15550362?
5
What is the hundred thousands digit of 7082613?
0
What is the hundreds digit of 491287?
2
What is the ten thousands digit of 3736539?
3
What is the tens digit of 321380?
8
What is the hundred thousands digit of 427497?
4
What is the hundred thousands digit of 455374?
4
What is the tens digit of 541727?
2
What is the hundred thousands digit of 4341166?
3
What is the thousands digit of 9953433?
3
What is the hundreds digit of 518841?
8
What is the units digit of 265369?
9
What is the tens digit of 17929732?
3
What is the ten thousands digit of 13659804?
5
What is the hundreds digit of 1286300?
3
What is the hundred thousands digit of 945834?
9
What is the ten thousands digit of 50722?
5
What is the hundreds digit of 29935?
9
What is the hundreds digit of 7008513?
5
What is the units digit of 7197182?
2
What is the hundred thousands digit of 12434362?
4
What is the thousands digit of 87916?
7
What is the hundreds digit of 6186451?
4
What is the hundred thousands digit of 200038?
2
What is the hundred thousands digit of 772049?
7
What is the hundreds digit of 4973728?
7
What is the thousands digit of 23696?
3
What is the tens digit of 4659245?
4
What is the thousands digit of 94190?
4
What is the units digit of 335172?
2
What is the hundreds digit of 1187994?
9
What is the tens digit of 444797?
9
What is the hundred thousands digit of 123876?
1
What is the units digit of 90014?
4
What is the tens digit of 5934375?
7
What is the ten thousands digit of 290252?
9
What is the hundreds digit of 306888?
8
What is the tens digit of 310268?
6
What is the tens digit of 292133?
3
What is the hundreds digit of 147103?
1
What is the hundred thousands digit of 6777599?
7
What is the hundred thousands digit of 405124?
4
What is the thousands digit of 154529?
4
What is the ten thousands digit of 762070?
6
What is the units digit of 5612798?
8
What is the units digit of 1205414?
4
What is the hundred thousands digit of 9958170?
9
What is the hundred thousands digit of 527016?
5
What is the tens digit of 311360?
6
What is the tens digit of 15538289?
8
What is the millions digit of 1585953?
1
What is the millions digit of 1715710?
1
What is the hundred thousands digit of 520368?
5
What is the tens digit of 1374011?
1
What is the ten thousands digit of 558160?
5
What is the units digit of 28870?
0
What is the hund
|
{
"pile_set_name": "DM Mathematics"
}
|
k = -2.2 + -16.8. Let z = k + 15. Which is the second biggest value? (a) -1/3 (b) z (c) 3/4
a
Let j = -20.5 - -21. What is the biggest value in j, -3, -2/19?
j
Let k(v) = -3*v + 2. Let u(l) = 2*l - 3. Let f(b) = -3*k(b) - 4*u(b). Let d be f(-9). Let a be (0 + 0 + -2)*-2. What is the biggest value in a, -2/5, d?
a
Let m(y) = -2 + 0 + 4*y - 1. Let l be m(4). Suppose -5*o - 12 = l. What is the biggest value in -2, -0.4, o?
-0.4
Suppose -3 = -3*r - 0*r. Let v be 0 - (r + (-6)/4). Which is the smallest value? (a) v (b) -1/4 (c) -2
c
Let t = 0.3 - 1. Let s = -11/2 + 7. Which is the second biggest value? (a) 4 (b) s (c) t
b
Suppose -i + 2 = i. Let v(f) = f**2 - 2. Let z be v(-2). Let k = -0.6 - -0.1. Which is the third smallest value? (a) k (b) z (c) i
b
Let y = 0.04 + 0.06. Which is the third biggest value? (a) y (b) -0.5 (c) -1
c
Let d = -3.3 + 3. Let o be (-6)/(-8)*2/(-3). Which is the biggest value? (a) 1/2 (b) o (c) d
a
Let w = 1.5 + -1.2. Which is the second biggest value? (a) -2 (b) w (c) -4
a
Let q = -0.2 - -0.3. Let y be (4/2 - 2)/1. Let b = 61/30 - 8/15. What is the second biggest value in q, y, b?
q
Let k = -0.042 - -0.042. Let p = 5 - 8. Let t = p + 2.6. What is the third smallest value in t, k, 1?
1
Let c(z) = -z**3 - 12*z**2 + 4. Let m be c(-12). Let q = 948/8347 + 2/491. What is the second biggest value in m, 3/2, q?
3/2
Let z = -563/35 - -79/5. Let i = -1.96 - 0.04. Let y be -8 - -8 - 2*2/(-16). Which is the third smallest value? (a) i (b) z (c) y
c
Let y = 5/2 - 19/8. Let p = 1 - -5. Let g = 4 - p. Which is the third biggest value? (a) -5 (b) y (c) g
a
Suppose 3*g + 2*g = 0. Suppose 0 = -g*p + p + 5. Let m = 4 + -5. What is the third smallest value in -0.4, p, m?
-0.4
Let o = 20 + -15. Let l = -1.7 - -1.2. Which is the third biggest value? (a) o (b) l (c) 2/5
b
Let s be (-15)/(-60) - 2/(-8). Which is the second smallest value? (a) 17 (b) s (c) -4
b
Let i = 1 - 122. Let n = i + 607/5. What is the second smallest value in n, -1/3, 5?
n
Let j = -0.21 + 5.21. Which is the second smallest value? (a) -2/7 (b) j (c) -2
a
Let r = 14 - 11. What is the biggest value in 0.2, r, -0.1?
r
Let i = -13.7 - -13.6. What is the biggest value in i, -5/3, 3, -3/7?
3
Suppose -20 = 5*d - d, 5*m = 2*d + 5. Let u be ((-22)/(-385))/(1/5). Which is the biggest value? (a) -0.4 (b) m (c) u
c
Let n be (-2)/2 - (-46)/42. Which is the biggest value? (a) n (b) -0.9 (c) -0.2
a
Let q be -3*3/(-45)*(2 - 4). What is the smallest value in q, -5, 3, -2/9?
-5
Let s be 1/4 + 27/12. Which is the third biggest value? (a) s (b) 0.2 (c) 3/4
b
Let k = -4.4 - -0.4. What is the fourth biggest value in 0.4, -0.5, k, 0.5?
k
Suppose -33 = 5*d - k, -4*d - 11 = -4*k + 25. Let y be d/(6*(-14)/(-8)). What is the biggest value in 2/7, 0, y?
2/7
Suppose 14*d - 9*d = 15. What is the smallest value in -8, -4, d?
-8
Let p be -3*3/((-9)/4). Let h(t) = t**3 + 3*t**2 - t + 3. Let z be h(-3). Let d be (z/8)/((-6)/(-20)). Which is the smallest value? (a) d (b) p (c) -3
c
Let d = 0.37 + -0.07. What is the third biggest value in d, -1/8, -1?
-1
Suppose 0 = -2*g + g + 3. Let r = 84 + -82. What is the second biggest value in g, r, 0.4?
r
Let l be 30/4*(-16)/24. Let x = -16 - -13. Which is the third biggest value? (a) l (b) x (c) 2/9
a
Let a be 1*1/(-35)*-5. What is the smallest value in a, 0.1, -0.4?
-0.4
Let z = 5 + -28. What is the second biggest value in z, -3, -4/5?
-3
Let j = 1.4 + -1.5. Which is the smallest value? (a) j (b) -0.4 (c) 1/7
b
Let k = 0 - 0.2. Let h be 3 + (-2 - 0 - 4). What is the biggest value in -2, k, h?
k
Let u be 26/(-6) + 2/6. Suppose 2*l - o = -2*l - 9, -5*o = -25. Let b be l + 3 - (-15)/(-8). What is the smallest value in b, 4, u?
u
Suppose -4*f - 1 = -5*f. Let u be (3936/210)/(18/5). Let d = 52/9 - u. Which is the smallest value? (a) d (b) 5 (c) f
a
Let o = 0.7 + 11.3. Let j = o - 8. Let u = j - 1. What is the third biggest value in 0.4, 3/8, u?
3/8
Let m = -2 + 4. Let t(k) = -k**3 + 5*k**2 + 8*k - 2. Let i be t(6). Let x be (2/i)/(4/(-5)). Which is the third smallest value? (a) -3/5 (b) x (c) m
c
Suppose 2 + 0 = -2*a. Let r be -3 + 5 + 3/a. What is the third biggest value in r, 0, 0.1?
r
Let x = 57366 - 109713/2. Let y = -2570 + x. Let s = y - -1577/26. Which is the smallest value? (a) -4/5 (b) s (c) -5
c
Let l = 4 - 5. Let j = l + 6. Let p be (-10)/(-6)*(-6)/(-15). Which is the third biggest value? (a) p (b) j (c) 3/7
c
Let q = -0.7 - -3.7. Let h = -2 + q. Let i = -0.8 - -0.5. What is the third biggest value in h, i, -1/3?
-1/3
Let n = 0.7 + -1. Which is the third smallest value? (a) -0.7 (b) -2/5 (c) n
c
Let z = -68 + 63. Which is the biggest value? (a) -2/11 (b) z (c) -2
a
Let o(m) = -m - 3. Let q be o(-6). Let r = 9.3 - 13. Let h = 4 + r. What is the smallest value in h, q, -3/4?
-3/4
Let d = 29 + -57/2. Suppose -2*o = -o + 3. Let u = -4 - o. What is the second smallest value in d, 5, u?
d
Let n = 49 + -22. Let b = n - 188/7. Let f = -0.4 - -0.3. What is the third smallest value in b, f, -0.5?
b
Let c = 3 + -2. Let y = 5 - 5.5. Let r = y - -3.5. What is the second smallest value in r, c, 0.3?
c
Let w = 5 + -4.6. Let z = -1.2 - -1. What is the second biggest value in w, -2/19, z?
-2/19
Let m = -14 + 10. Which is the second biggest value? (a) -6 (b) m (c) -3
b
Let o = 1271/9 - 141. Let h = 32 + -30. Which is the third smallest value? (a) h (b) o (c) 0.5
a
Suppose 5*o + r + 6 - 2 = 0, -2*o + 5*r - 7 = 0. Let l be (1 - o)/(2/5). Which is the smallest value? (a) 2/3 (b) 0.5 (c) l
b
Let k = 8.89 - -0.11. Let n = k - 8. What is the smallest value in -0.1, 0.5, n?
-0.1
Let z = 270.98 + -268. Let s = z + -3. Let f = 4.98 - s. Which is the second biggest value? (a) f (b) -0.2 (c) -2/9
b
Let k = 9 + -9. Let l = -0.4 - k. Let o = 2 - 4. What is the third biggest value in l, o, 5?
o
Let h = 2 + -1.98. Let k = h + -2.02. Let i = 12 - 17. Which is the biggest value? (a) i (b) -5/2 (c) k
c
Let l = -0.08 + -0.52. What is the second biggest value in l, 2/7, 3?
2/7
Let g = 5.5 + -6.5. Which is the second biggest value? (a) -0.4 (b) 0.05 (c) g
a
Let o = -0.035 + 4.035. Let q = 1.7 + 0.3. Which is the third biggest value? (a) q (b) o (c) 0.1
c
Let k = -286/201 - -6/67. Let t be 2/(-42) + 6/18. What is the biggest value in 0.4, k, t?
0.4
Suppose 0 = f + 4*f - m + 23, 2*f + 2*m + 14 = 0. Which is the smallest value? (a) -4 (b) f (c) -4/3 (d) -1
b
Let w be 5 - (3 - 1 - 0). Suppose w*r = 4 + 8. What is the biggest value in 0, 5, r?
5
Suppose 2*s - 2 = 3*s. What is the third biggest value in -4, s, 5?
-4
Let h = -0.07 + 0.07. What is the third biggest value in 9, h, 0.5?
h
Let x = -7/13 + 61/65. What is the third smallest value in -2/7, x, 0.5?
0.5
Let z(q) = q**2 + 2*q + 1. Let g be z(-1). Let d = -9 + 8.9. Let p = d - -3.1. Which is the second smallest value? (a) g (b) p (c) -3
a
Let h be (1 + -1)/((-6)/3). Let i be (10/(-6) - -1) + h. Let w be (-30)/(-24)*2/5. What is the second smallest value in -1, w, i?
i
Let n = 301 - 14449/48. Let t = n - -103/336. What is the smallest value in t, 3, 3/4?
t
Let v = 717/56 - 36299/3080. Let h = v - 9/11. Let p be (-1)/2*2/4. Which is the second biggest value? (a) -3 (b) h (c) p
c
Let f = -8 + 6. Let t = f + 1.7. What is the second biggest value in -1/3, 3, t?
t
Let x = 2.99 - -0.01. Let o = 11 - 9. Which is the second smallest value? (a) -3 (b) x (c) o
c
Let x = -5/6 + 19/30. What is the biggest value in x, 1/2, 0.4?
1/2
Let z = 3 - 2. Let o = z + -0.7. Let w = 6 + -3. What is the second smallest value in o, w, -0.4?
o
Let f = -0.9 + 0.8. Which is the biggest value? (a) 0.2 (b) f (c) -2/21
a
Let a = -2 - 4. Let i = 11 + a. What is the third smallest value in -1/3, i, 3/4?
i
Let y = -0.26 + 0.3. Let v = 1.941 + 0.019. Let m = y + v. What is the biggest value in -4, 5, m?
5
Let d = -9.3 - -9. Which is the third biggest value? (a) 0.4 (b) 2/7 (c) d
c
Let i = 0 - 0. Let d = -1.2 - -10.7. Let v = 10 - d. Which is the second smallest value? (a) v (b) i (c) -2/11
b
Let t = 9.2 + 2.8. Let v = 12.9 - t. Let x = v + 0.1. What is the third biggest value in 3, -2, x?
-2
Let h = -67/112 + 5/16. Let s = -6.4 + 4.1. Let x = 2 + s. Which is the bigge
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{
"pile_set_name": "DM Mathematics"
}
|
0, a, 2
Suppose -5*i = -2 + 17. Let c(h) = -h**2 - 3*h + 4. Let o be c(-4). Sort 3, o, i in decreasing order.
3, o, i
Suppose -x + 1 - 4 = 0. Let c = 2/19 - 56/171. Sort 2, x, c in decreasing order.
2, c, x
Suppose -75 - 10 = 17*v. Sort 0, -3, v in decreasing order.
0, -3, v
Let j = -1 - -2. Let r be j/2 + (-18)/(-4). Suppose 3*u + u = -20, 2*q + r*u + 17 = 0. Put q, -5, 2 in ascending order.
-5, 2, q
Suppose 9*c - 3 = 10*c. Sort -0.2, 5, c in ascending order.
c, -0.2, 5
Let y = 84 + -84. Let p be 10/(-45) - (-86)/306. Put y, p, -2 in decreasing order.
p, y, -2
Let r be 4/((-32)/(-21)) - 3. Let j = -1.1 + 1.1. Put 1, j, r in decreasing order.
1, j, r
Let s = 19.9 + -20. Put s, 17, -1/3 in descending order.
17, s, -1/3
Let p = -4 + 7. Let t be ((-2)/(-1 + p))/(-3). Let f = 0 - 4. Sort 1/4, t, f.
f, 1/4, t
Let c = 8 - -12. Suppose -2*a + 7*a = -c. Put 3/5, a, 3/4 in ascending order.
a, 3/5, 3/4
Let b be (-26)/(-52)*18/(-5). Let z = -4 - -7. Put 1/3, b, z in ascending order.
b, 1/3, z
Suppose -5*i = -x - 14, 0 = 4*x + x + 2*i - 11. Let p be (-1 + -1)*(x - 2). Put p, 1, -3 in decreasing order.
p, 1, -3
Suppose 3*c = -c + 8. Let u be 0/(2 - 1 - 3). Put u, 4, c in descending order.
4, c, u
Let h(y) = 3*y + 10. Let w be h(-4). Sort w, -5, -0.1 in increasing order.
-5, w, -0.1
Let h = 2/11 - -38/33. Suppose -p - 20 = -0*x + 4*x, -2*p - 3*x - 15 = 0. Put 1/2, p, h in descending order.
h, 1/2, p
Let q = -22 + 25. Let a = -3 + 0. Let w(f) = -3*f + 24. Let k be w(8). Sort a, q, k in ascending order.
a, k, q
Let q = -4 - -4.05. Let w = q - -4.95. Put 2/9, w, -0.3 in increasing order.
-0.3, 2/9, w
Let g be (-2)/((-6)/3)*2. Let j(m) = m**2 - 5*m - 3. Let l be j(6). Let k = l - -1. Sort g, k, -5 in ascending order.
-5, g, k
Suppose 0*t = 4*t - 20. Suppose -t - 10 = -5*c. Sort 2, 0, c in descending order.
c, 2, 0
Let h = 12.56 + -1.16. Let z = -11 + h. Put 2, -5, z in ascending order.
-5, z, 2
Let k = 12 + -10. Let h(v) = -v + 1. Let f be h(2). Put k, f, -5 in decreasing order.
k, f, -5
Let l = -0.5 + 0.4. Let f = l + 0.2. Let a = -4.9 - f. Sort -3, 0.5, a in decreasing order.
0.5, -3, a
Let c(a) = a + 4. Let s be c(-3). Suppose 4 + 2 = -2*u. Let p be -9*(u + (-30)/(-9)). Sort s, p, -5 in decreasing order.
s, p, -5
Let d(w) = -w**3 - w. Let q be d(-1). Let m be (-4 + 3)*(-4)/28. Put 4, q, m in descending order.
4, q, m
Let k(t) = 5*t + 56. Let f be k(-11). Put -24, -2, f in decreasing order.
f, -2, -24
Suppose 2*c = 6*c + 2*f + 2, -4*f = -2*c - 26. Let d be (32/(-4))/2*(-2)/8. Sort c, -5, d.
-5, c, d
Suppose -2*d + 5 = -7. Suppose -4 = 2*k, 2*k = 4*h + 3*k - 2. Sort h, 0, d in ascending order.
0, h, d
Suppose u + 2*o = 5 + 7, 0 = 4*u + 5*o - 33. Suppose -i - u = -2*k, 2*k - i - 1 = -k. Put -2, k, 4 in decreasing order.
4, k, -2
Let i = 1 + -1. Let a be 2 - (1 + (-10)/(-6)). Sort i, 7, a in descending order.
7, i, a
Suppose -n + 6 - 2 = -2*t, -3*t + 5*n = -1. Let c be (4/(-5))/(t/(-15)). Put -5, 5, c in descending order.
5, c, -5
Let f be ((-80)/88 - -1)/(0 + 1). Sort f, 2/7, -1/6, -0.2 in decreasing order.
2/7, f, -1/6, -0.2
Suppose -3*a + 121 = 10. Let k = 184/5 - a. Let j be 9/12*8/36. Sort k, j, 4 in decreasing order.
4, j, k
Let v be ((-10)/4 - -2)*2. Let l = -12 + 12. Suppose l = q + 2*d - 5, 16 = 2*q - 4*d + 6. Sort v, 4, q in decreasing order.
q, 4, v
Let z = 1 - 4. Let c = 0.2 + 0. Sort 2/7, c, z in increasing order.
z, c, 2/7
Let z(m) be the first derivative of m**4/4 + 2*m**3/3 - m**2/2 + m + 3. Let g be z(-2). Sort 5, -3, g in descending order.
5, g, -3
Let j be ((-16)/40)/(13/5). Sort 0.1, 2, j.
j, 0.1, 2
Suppose -3*r + 2*i - 4*i - 10 = 0, r = -i - 5. Put r, 4, -2 in decreasing order.
4, r, -2
Let n(b) = -5*b - 8. Let i be n(-2). Put 0, -2, i in increasing order.
-2, 0, i
Let c = -32 - -33.95. Let n = c - 1.9. Put 2/11, n, -5 in increasing order.
-5, n, 2/11
Let p = 3 + 1. Suppose -p*i + 2*i + 10 = -h, -2*i = -8. Let f be (h/(-4))/(10/40). Put f, 0, 5 in increasing order.
0, f, 5
Let g = 0.2 + -0.2. Suppose 3 = 2*z + r, -5 + 2 = -z - 2*r. Let c = 0.5 + -2.5. Put c, z, g in decreasing order.
z, g, c
Suppose -5*x = -r - 4 - 4, -2*x = -2*r - 8. Suppose 0*y - n - 6 = -2*y, 4*n - 36 = -4*y. Let g = y + -9. Sort g, r, -1 in ascending order.
g, r, -1
Let s = 0.289 - 0.289. Let r = -7 + 2. Let g = -2 + 0. Put s, g, r in ascending order.
r, g, s
Let n = 112 - -37. Suppose -5*x - r = -n, x + 2*r + 0*r - 28 = 0. Suppose 11 = v - 2*c, x = 5*v - 2*v - 5*c. Put 3, v, 1 in descending order.
v, 3, 1
Suppose 3*a = -10*a. Put a, 1, 2, -1 in ascending order.
-1, a, 1, 2
Suppose b - 3 = -8. Sort b, 0, -2 in ascending order.
b, -2, 0
Suppose 0 = -16*w - 0*w. Put w, 20, 2 in descending order.
20, 2, w
Suppose 0*j = 2*j - 10. Let n = -2 + 4. Suppose n*r = -3 + j. Put -4, r, 0 in descending order.
r, 0, -4
Let v = -451 - -455.03. Let w = v + -0.03. Let g = -3.03 + 1.03. Put -0.2, g, w in descending order.
w, -0.2, g
Suppose 0 = -4*c + t + 13, -2*t = 2*c + 3*t - 23. Suppose -y - c*y - z = 11, -3*y + 2*z = 4. Let u = -0.3 - -0.3. Sort u, -5, y in descending order.
u, y, -5
Let k = -13 - -18. Suppose 5*n = 12*n + 28. Put k, -2, n in decreasing order.
k, -2, n
Let m be (0/(-8))/((-2)/(-1)). Put -2, -4, m in descending order.
m, -2, -4
Let n = 43 + -44. Sort -4/7, n, 0.
n, -4/7, 0
Let d be (24/9)/4*-3. Let z = d - -7. Let i(x) = x**2 + 3*x - 3. Let g be i(-4). Put z, g, 3 in increasing order.
g, 3, z
Let r(a) = -2*a**3 - 3*a**2 + 3*a - 1. Let x be r(2). Let m = x + 26. Suppose 10 = 4*q + 2*y, 5 = -2*q - 2*y - y. Put m, q, -3 in descending order.
q, m, -3
Let c = -4.061 + 0.061. Sort -1, c, -16, 5 in descending order.
5, -1, c, -16
Let r(y) = 2*y + 29. Let t be r(-12). Sort t, 4, -5.
-5, 4, t
Let n = -19 + 23. Sort 0, n, -3.
-3, 0, n
Let l(r) be the third derivative of -r**6/120 + r**5/12 + 5*r**4/24 + r**3/6 + 2*r**2. Let s be l(6). Let z = s + 7. Put -2, -0.4, z in ascending order.
-2, -0.4, z
Let m = 0.17 + -8.17. Let k = -7.8 - m. Let w(x) = -2*x - 3. Let s be w(-3). Sort s, k, 2 in decreasing order.
s, 2, k
Let x(v) = v - 3. Let q be x(7). Let j be 20/15*(-1)/q. Sort -1, j, 3 in increasing order.
-1, j, 3
Let q be (15/(-9))/(1/(-3)). Put 4, q, -2 in ascending order.
-2, 4, q
Let q(z) = 3*z**2 - 2*z + 4. Let n(l) = -5*l**2 + 5*l - 8. Let a(s) = 4*n(s) + 7*q(s). Let j be a(-7). Suppose 0 = -0*m + 3*m - 12. Sort j, -3, m.
-3, j, m
Let x = -35 - -31. Sort -2, 5, x.
x, -2, 5
Let p be (2/10)/((-10)/25). Suppose 1 = 3*c + 2*v, -4*c + v - 3 - 3 = 0. Put p, c, 1 in decreasing order.
1, p, c
Suppose -z = -k - 4, 0*k + 2*k - 6 = -5*z. Let b be (-8 + 4)*k/4. Put b, -2, -4 in decreasing order.
b, -2, -4
Let o be 7 - (-2 + 8 - 3). Suppose -2*z = -z + 4. Sort 5, z, o in ascending order.
z, o, 5
Let f be (-4 - -3 - -5) + 0. Put 4/7, f, -0.2 in increasing order.
-0.2, 4/7, f
Suppose 3*y = -4*i - y - 20, i = y + 3. Let r = i - -3. Suppose r = j - 2. Put 1, -1, j in decreasing order.
j, 1, -1
Suppose -5*n - 35 = 4*f, n + 6 = -n. Put -4, f, 0 in decreasing order.
0, -4, f
Let j = 0.2 - 0.16. Let c = j + 0.26. Let h be (-5)/(-9) - 4/18. Sort h, 2, c in increasing order.
c, h, 2
Let z(u) = -u - 11. Suppose 0 = 3*t - 4*t - 7. Let b = t + -2. Let w be z(b). Sort w, -1, -3 in ascending order.
-3, w, -1
Let b = -0.42 - 0.08. Sort 0.1, -2/11, b in decreasing order.
0.1, -2/11, b
Let m(x) = x**3 + 3*x**2 + x + 5. Let h be m(-4). Put 0.1, -5, h in decreasing order.
0.1, -5, h
Suppose 0 = -5*n - 4 - 21. Let r(w) = -w**3 - 11*w**2 - 9*w + 10. Let t be r(-10). Put t, 4, n in descending order.
4, t, n
Let i be (-6)/1*(-1)/2. Suppose 7*g = 40 - 5. Sort i, g, 4 in increasing order.
i, 4, g
Let m = 5.6 - 3.6. Sort 3, m, 22.
m, 3, 22
Let x(i) = -3*i**2 + i**2 - 3*i + 3*i**2 - 3 + 9*i. Let t be x(-7). Sort -4, t, 5 in decreasing order.
5, t, -4
Let q = -100 + 98. Sort 1, 4, -2/3, q in ascending order.
q, -2/3, 1, 4
Let n be -1*1*0 - 0. Suppose 14 = -f - 2*w, w - 6 = 3*f + 1. Let r = -2 - f. Put -4, r, n in descending order.
r, n, -4
Let d = -20 - -16. Sort d, -2/13, -5 in ascending order.
-5, d, -2/13
Suppose 4*h - 4 = 12. Suppose 0 = -3*k + 1 + 8. Let y = k - h. Sort y, 3, -5 in increasing order.
-5, y, 3
Let g(x) = 5*x**2 - x. Let c be g(1). Suppose -2*s - 8 = -0. Let h = -39 - -36. Sort h, s, c in decr
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{
"pile_set_name": "DM Mathematics"
}
|
d derivative of 4*g**5*h - 174510*g**4*h**2 + 2*g*h**2 - 25*g*h + 84*g - 5*h**2 wrt g.
80*g**3*h - 2094120*g**2*h**2
Find the third derivative of 2*s**5 - 6*s**4 + 4779*s**3 + 49*s**2 + 3*s + 663.
120*s**2 - 144*s + 28674
What is the second derivative of -70366*o*s*x**2 + 134*o + 4*s*x - 75*s wrt x?
-140732*o*s
What is the second derivative of -400072*v**5 - 2*v**3 + 2*v**2 - 1710978*v?
-8001440*v**3 - 12*v + 4
What is the third derivative of -579027*k**3 - 593*k**2 + k - 9?
-3474162
Find the second derivative of -3*m**2*n**3 + 30*m**2*n**2 + 200*m**2*n - m**2 + 3881*m*n**3 + 2*m*n - 3*m + n**3 wrt m.
-6*n**3 + 60*n**2 + 400*n - 2
What is the second derivative of 142*l**3 + 8*l**2 - 51781*l wrt l?
852*l + 16
What is the first derivative of -2209*x**4 + x**3 - 26*x**2 + 928893?
-8836*x**3 + 3*x**2 - 52*x
Find the third derivative of -70*m**3*q**3 + 2*m**2*q**3 + 3*m**2*q - 15*m*q**3 + 1 wrt m.
-420*q**3
What is the third derivative of 11*v**3*y**2*z + 91446*v**3*y*z - 2*v**2*z - 4025263*v*y**2*z wrt v?
66*y**2*z + 548676*y*z
Find the third derivative of 11*h*l*o**3 - h*o**3 - 2*h + 606*l*o**3 + 3*l*o**2 + 20652*l - o**2 wrt o.
66*h*l - 6*h + 3636*l
Find the second derivative of 24*c**2*n**3 - 160*c**2*n + 3*c**2 + 53*c*n**3 + 2*c*n**2 + 2*c - 132*n**3 wrt c.
48*n**3 - 320*n + 6
Find the second derivative of -4724*m**3*q**2*t + m**3*q*t**2 + 5*m**3*q - m**3*t**2 - 3*m**2*q**2*t**2 - 402*m**2*q wrt q.
-9448*m**3*t - 6*m**2*t**2
What is the third derivative of -7*m**3*w**2 - 395*m**3*w - 33*m**3 - 123228*m**2*w**2 - 3*w**2 wrt m?
-42*w**2 - 2370*w - 198
What is the third derivative of 100*h**2*i**3 + 5*h**2 - 11*h*i**3 + i**3 - 1198*i**2 wrt i?
600*h**2 - 66*h + 6
What is the first derivative of -4607*m**4 + 12*m + 49825?
-18428*m**3 + 12
What is the first derivative of 2*j*l + 58840*j - 1612*l wrt l?
2*j - 1612
Find the first derivative of 108825*r**2 - 124231.
217650*r
Differentiate 151*w**2 - 9611*w + 2668661.
302*w - 9611
Differentiate -50*i**3*w + 14334*i**3 + 3*i*w + 39*w with respect to w.
-50*i**3 + 3*i + 39
What is the third derivative of -471*l*v**4 + 82*l*v**3 + 2*l*v**2 - 4627450*l - 9*v**4 wrt v?
-11304*l*v + 492*l - 216*v
Differentiate 32310*q + 23199.
32310
Find the third derivative of 9*d**5 - 29507*d**4 - 453654*d**2 wrt d.
540*d**2 - 708168*d
Find the first derivative of -17*g**4 - g**3 + 442*g**2 - 6*g + 603046.
-68*g**3 - 3*g**2 + 884*g - 6
What is the first derivative of 1791864*h - 2674395 wrt h?
1791864
Find the first derivative of 107*t*u + 19*t - 5*u - 922 wrt u.
107*t - 5
What is the third derivative of -557*j*p**2*s**3 + 4*j*p**2*s**2 + 143*p**2*s**2 + 1057*s**3 + 1107*s**2 wrt s?
-3342*j*p**2 + 6342
What is the third derivative of 222752*l**3 - 222790*l**2?
1336512
Find the second derivative of -10*a*c**2*g**2 - 257*a*c - 730*c**2*g**2 + 4*c**2*g - 2*c**2 + 4*g + 3 wrt g.
-20*a*c**2 - 1460*c**2
What is the first derivative of 41182*o**4 - o**3 - o**2 - 2*o - 2641446?
164728*o**3 - 3*o**2 - 2*o - 2
What is the second derivative of -w**5 - 36269*w**4 - w**2 + 678*w + 190?
-20*w**3 - 435228*w**2 - 2
Find the third derivative of -2*p**4 - 750536*p**3 - 3*p**2 + 458761.
-48*p - 4503216
Differentiate 17879*l**2 + 54585 wrt l.
35758*l
What is the derivative of 12*g*r + 6041103*g - 44509*r wrt r?
12*g - 44509
Find the third derivative of -35898*h**4 - 191*h**2 + 4*h - 13 wrt h.
-861552*h
Differentiate 2*g*n**2 - 31*g*n + 653*g - 146881*n**2 with respect to g.
2*n**2 - 31*n + 653
Differentiate a*t**4 - 18*a*t**2 - 298160*a + 705*t**4 with respect to t.
4*a*t**3 - 36*a*t + 2820*t**3
What is the third derivative of 748487*d**3*m + 8073*d**2 + 3*d*m + 1 wrt d?
4490922*m
What is the second derivative of -2*b**2*w**3 + 539094*b**2 + 3*b + 12730*w**3 wrt b?
-4*w**3 + 1078188
Find the third derivative of 37339*f**6 - 9*f**2 - 9*f wrt f.
4480680*f**3
Find the second derivative of -1473*t**3 - 134*t**2 - 1170147*t.
-8838*t - 268
What is the second derivative of 1310842*n**2 + 1901020*n?
2621684
Find the third derivative of -57*d**4*u**2 + 252*d**4 - 2*d**2*u**2 - 19002*d**2*u wrt d.
-1368*d*u**2 + 6048*d
What is the third derivative of d**4*q + 26*d**4 + 2*d**3*q - 35*d**3 - 37*d**2*q + d**2 - 12*d*q - 5*q - 1 wrt d?
24*d*q + 624*d + 12*q - 210
What is the second derivative of -112059*o**2*q**2 + 4*o*q + 3*o + 374*q**2 - 59 wrt o?
-224118*q**2
Find the second derivative of 41272*i**2 + 21829*i.
82544
Find the second derivative of -281*f**4*u**3 + 344*f**3*u**3 + 165*f - u**3 + 9*u**2 + 2 wrt f.
-3372*f**2*u**3 + 2064*f*u**3
What is the third derivative of 168069*j**3 - 2*j**2 - 124*j - 131?
1008414
Find the second derivative of -3677*p**5 + 25*p**4 - p**2 - 622219*p.
-73540*p**3 + 300*p**2 - 2
What is the third derivative of -43815*h**3*q - 20*h**2*q + h**2 - 3*h*q + 2 wrt h?
-262890*q
What is the first derivative of -l**2*t + 233375*l**2 + 329641*t wrt t?
-l**2 + 329641
Find the second derivative of -68025*j*y**4 + 79754*j*y + y wrt y.
-816300*j*y**2
Differentiate -b*v + 171793*b + 514*v - 543 with respect to b.
-v + 171793
Find the third derivative of -3063*g**3*h**3 - 6*g**3*h**2 + 8*g*h**3 - 6*h**3 - 56981*h**2 wrt h.
-18378*g**3 + 48*g - 36
Differentiate -376068*l - 1431731 wrt l.
-376068
Find the second derivative of -40177*k**3 + 7135*k + 3.
-241062*k
Find the third derivative of o**3*y - 19444*o**3 - 403863*o**2*y wrt o.
6*y - 116664
What is the first derivative of 656884*s**2 + 1873892?
1313768*s
What is the second derivative of 3825833*p**3 + 3502*p + 32 wrt p?
22954998*p
Differentiate -11*n**3*r + 101746*n**3 + 5*n**2*r + 502*n*r - r wrt r.
-11*n**3 + 5*n**2 + 502*n - 1
Find the third derivative of -599555*u**4 + 132257*u**2 + 3*u.
-14389320*u
What is the first derivative of -94706*h**2 - 75464?
-189412*h
Find the third derivative of 401715*p**6 - 3*p**4 + 965004*p**2.
48205800*p**3 - 72*p
What is the first derivative of 749*h**4 - 28*h**3 - 2*h**2 - 368476 wrt h?
2996*h**3 - 84*h**2 - 4*h
What is the third derivative of -87*d**5 + 61*d**4 + d**3 + 28807*d**2?
-5220*d**2 + 1464*d + 6
What is the second derivative of -260*f**3*x**3 - 15*f**3*x + 4*f**2*x**2 + 63379*f*x**3 wrt f?
-1560*f*x**3 - 90*f*x + 8*x**2
Differentiate -953391*s + 158090 wrt s.
-953391
What is the third derivative of -49136*t**6 - 569*t**2 - 218*t wrt t?
-5896320*t**3
What is the first derivative of 105318*m**2*r - 85143*m**2 wrt r?
105318*m**2
Differentiate -d**2*t**2 + 290*d**2 + 12187*t**3 + 38 wrt t.
-2*d**2*t + 36561*t**2
Find the third derivative of h**3*o**3*x - 9780*h**3*o*x + 9*h**2*o**3*x + h**2*o*x + 15*h*o**3*x - 21*h*o*x + 2*o**3 wrt h.
6*o**3*x - 58680*o*x
Find the second derivative of -326*k**4 + 80*k**3 - 2*k - 153962 wrt k.
-3912*k**2 + 480*k
What is the second derivative of -o*s**5 - 1762530*o*s**2 + 2*o*s - 4230*o - 5*s - 3 wrt s?
-20*o*s**3 - 3525060*o
What is the second derivative of -2*y**5 + 252*y**4 + 4*y**3 - 926*y + 8 wrt y?
-40*y**3 + 3024*y**2 + 24*y
What is the second derivative of 14279*g**4*y - 5*g**2*y + 71339*g*y wrt g?
171348*g**2*y - 10*y
Find the second derivative of 117486*m**2 - 2354181*m wrt m.
234972
What is the derivative of -o**4 - 296*o**2 + 1007*o + 393890?
-4*o**3 - 592*o + 1007
What is the third derivative of -3004819*j**5 + 191*j**2 + 170*j - 5?
-180289140*j**2
Find the first derivative of -49062*h - 94972.
-49062
Find the second derivative of -106711*r**3 - 1278*r - 9 wrt r.
-640266*r
Differentiate 628083*k - 720036 with respect to k.
628083
What is the second derivative of 2*d**3*n*p + d**3*p**3 - 185*d*n - 257*n*p**3 - 14*n*p wrt p?
6*d**3*p - 1542*n*p
What is the third derivative of -14637*h**3*i - 2*h**3*q + 2*h**2*i*q + 2*h*i - 4855*h*q wrt h?
-87822*i - 12*q
Find the second derivative of l**3 + 12229*l**2 + 33*l - 122.
6*l + 24458
What is the second derivative of -157318*a**2 + a + 14046?
-314636
What is the third derivative of m**3*u**3 + 2*m**3*u + 57*m*o*u**3 + 6*m*o*u + 6*m*u**3 + 2639*m*u**2 + 3*o*u**3 wrt u?
6*m**3 + 342*m*o + 36*m + 18*o
What is the second derivative of -523*q**5 - 1124*q**4 - 1777189*q wrt q?
-10460*q**3 - 13488*q**2
Differentiate -2*x**2*y + 8407*x**2 + 2*x*y - 79962*y wrt x.
-4*x*y + 16814*x + 2*y
Differentiate 842*j*n**3 - 65090*j + 4*n**3 - 5*n**2 with respect to n.
2526
|
{
"pile_set_name": "DM Mathematics"
}
|
?
0
Suppose -48*x - 44 = -52*x. Suppose 3*j + 2*j - 220 = 0. Suppose -x = -w + j. What is the remainder when w is divided by 19?
17
Suppose w - 4*i - 60 = 0, -i + 129 = -5*w + 353. What is the remainder when w is divided by 16?
12
Calculate the remainder when 265 is divided by (-26)/(-156) + (-166)/(-12).
13
Suppose -3*l + 33 = -108. What is the remainder when l is divided by (105/(-4 + -3))/((-5)/6)?
11
Let j(i) = i**2 + 7*i + 16. What is the remainder when j(-9) is divided by (-2)/13 + 3486/182?
15
Let t = -199 + 109. Let n = -51 - t. What is the remainder when 193 is divided by n?
37
Suppose -4*o + 72 + 56 = 0. Suppose 0 = -i - 6 + o. What is the remainder when 76 is divided by i?
24
Suppose 11*w - 332 = 7*w. Calculate the remainder when w is divided by 24.
11
Let m = 247 - 175. What is the remainder when m is divided by 8?
0
What is the remainder when -1 + 245 - (12 + -5) is divided by 8?
5
Calculate the remainder when 182 is divided by 472*30/280 + 8/(-14).
32
Let g(a) = a**3 - 27*a**2 + a - 30. Let n be g(27). Calculate the remainder when 27*1*(1 + 0) is divided by (2/(-6))/(n/90).
7
Let s = 42 + -29. Let t be (-4)/(-14) + 24/14. Suppose w - a = 33, 0 = -t*w - a + 2*a + 71. Calculate the remainder when w is divided by s.
12
What is the remainder when 6/11 - 9950/(-110) is divided by (-2)/6 + (-94)/(-3)?
29
Suppose -8*j + 9*j = 5. Suppose 5*t - 65 = -5*f, -59 = -j*t - 6*f + 4*f. Let l(s) = -s**3 - 5*s**2 - 4. Calculate the remainder when l(-6) is divided by t.
10
Suppose -5*z - a + 29 = 0, 4*z - 2*a = 3 + 23. What is the remainder when 94 is divided by z?
4
Calculate the remainder when (4/2)/((-52)/(-3718)) is divided by 4.
3
Suppose 32 = 2*d + 2. Suppose -2*p - d = -29. What is the remainder when p is divided by 5?
2
Let x(f) = -13*f + 10*f - 12*f - 5. Calculate the remainder when x(-4) is divided by 28.
27
Let h = 13 + -7. Let c(f) = 9 - 3 - 3*f**2 + 5*f**2 - 9*f + 9*f**2 - f**3. What is the remainder when c(10) is divided by h?
4
Let d = 32 + 9. Let t = -18 + -49. Let m = t - -89. What is the remainder when d is divided by m?
19
Let v(g) = 2*g**2 + 22*g - 10. Calculate the remainder when 81 is divided by v(-12).
11
What is the remainder when (-15035)/(-85) + -2 - 20/(-170) is divided by 11?
10
Let a(k) = -4*k - 101. What is the remainder when 178 is divided by a(-29)?
13
Suppose -q - 36*k = -32*k - 8, 0 = q - 5*k - 44. What is the remainder when 49 is divided by q?
1
Let w be (-192)/(-80)*5/2. Suppose -3*j - w = -4*j - 2*u, -j = -4*u + 6. Suppose -j*m + 40 + 36 = 0. What is the remainder when m is divided by 10?
8
Suppose -4*m + 107 = r, 3*r = -4*m + r + 106. What is the remainder when m is divided by 8?
3
Suppose 23*q - 941 - 2210 = 0. What is the remainder when q is divided by 58?
21
Suppose 13*q + 75 - 1050 = 0. Suppose 55 = -2*k + q. Calculate the remainder when k is divided by 5.
0
Suppose -n = -35*n + 612. Suppose 0 = 5*l - 0 - 5, 2*f - 67 = -l. Calculate the remainder when f is divided by n.
15
Let l(c) = -3*c - 9. Let i be l(-6). Let r = 12 - i. Suppose -r = -n + 5. Calculate the remainder when 23 is divided by n.
7
Let h(r) = -r**2 - 10*r + 15. Let k be h(-11). Suppose -11*i + 91 = -k*i. Let w = 23 - -1. Calculate the remainder when w is divided by i.
11
Suppose -6 = 2*l - 54. Let u(v) = -9*v**3 - 2*v**2 - v + 5. Calculate the remainder when u(-2) is divided by l.
23
Let q = 11 - 15. Let a(g) = -g**2 - 5*g - 2. Let s be a(q). Suppose s*d = 7*d - 125. Calculate the remainder when 97 is divided by d.
22
Suppose -2*q + 115 = 3*q + 5*o, 0 = q - o - 25. Suppose -5*c = 5*n - 225, -5 = 2*n + 1. Suppose c = f + 2. Calculate the remainder when f is divided by q.
22
Let o = 12 - 10. Let y be -3 + 1 + (-32)/(-16). Suppose m + 4*h = y, 2*m - 2 = -4*h + 2. Calculate the remainder when m is divided by o.
0
Let u = 4 + -53. Let a be 28/u - (-32)/7. Suppose a = o, 2*n - n - 23 = 4*o. What is the remainder when n is divided by 14?
11
Let n = 246 - 212. Calculate the remainder when 56 is divided by n.
22
Suppose 80*m = 9*m + 1065. Suppose -27 = -3*f + 102. What is the remainder when f is divided by m?
13
Let l = -79 - -147. Calculate the remainder when l is divided by 7.
5
Let a(b) = -b**3 - 5*b**2 + 4*b + 6. Let q be a(-6). Suppose 80 = q*h - 13*h. Calculate the remainder when 23 is divided by h.
7
Let i(y) = -2*y**3 - 4*y**2 + 3*y + 3. Let j be i(-3). Suppose -j*k + 29 = -11*k. What is the remainder when k is divided by 64/6 - (-2)/6?
7
Let m be 6*((-34)/(-4) + 0). Let b be -2 - 8/(-12)*m. Suppose 4*t - 40 = b. Calculate the remainder when 52 is divided by t.
16
Suppose -5*p + 2*z = -140, -z = -2*p - 0 + 56. What is the remainder when 107 is divided by p?
23
Suppose -80 = -7*f + 368. Calculate the remainder when f is divided by 22.
20
Suppose -22 = -5*r + t + 13, 0 = 2*t. Calculate the remainder when r is divided by 5.
2
Let j = 219 + -105. Calculate the remainder when j is divided by 58.
56
Suppose -8 = 3*p - 14. Suppose -2*h = p*h - 40. Let j = h + -1. Calculate the remainder when 17 is divided by j.
8
Suppose 3*x - 37 = 3*k - 187, 3*k - 160 = x. Calculate the remainder when 121 is divided by k.
11
Let q(w) = 15*w + 353. What is the remainder when q(-13) is divided by 15?
8
Let q be 18/5 + (-4)/(80/12). Let t(o) = 14*o - 12. Calculate the remainder when 89 is divided by t(q).
29
Suppose -3*n - n + 92 = 0. Suppose 5*x = -t + 68, 5*x - x - 40 = 4*t. What is the remainder when n is divided by x?
10
Suppose 0*m = 2*m - 8. Suppose m*r = -0*r + 120. Let c(l) = l**3 - 13*l**2 - 7*l - 9. Calculate the remainder when c(14) is divided by r.
29
Let n = -12 - -12. Suppose 2*r - 22 = -n. What is the remainder when 74 is divided by r?
8
Let y(p) = p**3 - 3*p**2 + 6. Calculate the remainder when 107 is divided by y(2).
1
Let j be 1*(0 - (4 + -4)) + 3. Suppose -4*a + 2*b = -160, -186 = -5*a + 4*b + 14. What is the remainder when a is divided by (j + 11/(-2))*28/(-5)?
12
Suppose 0 = -4*b + z + 315, -4*b + 3*z - 7*z = -340. What is the remainder when b is divided by 28?
24
Let m(l) = -l**3 + 8*l**2 - 4*l - 2. Suppose 2*v = 5*v - 48. Suppose -5*x + 14 = -v. What is the remainder when m(x) is divided by 16?
14
Let o(b) = -3*b + 7. Let w(s) = -7*s + 15. Let p(x) = 13*o(x) - 6*w(x). What is the remainder when 29 is divided by p(3)?
9
Suppose 0 = -45*h + 37*h + 9768. What is the remainder when h is divided by 51?
48
Calculate the remainder when 294 is divided by ((-450)/(-135))/((-1)/(-18)).
54
Suppose -2*y - 21 = -23. Calculate the remainder when 23 is divided by ((-2)/4*2)/y - -6.
3
Let q = -11 + 11. Suppose q = 2*a - 42 + 4. Let m = a - 10. Calculate the remainder when m is divided by 5.
4
Let o = -741 - -858. What is the remainder when 245 is divided by o?
11
Let t be (-1)/((-2)/10*(7 - 6)). Suppose -v + t*v - 304 = -r, -379 = -5*v - r. What is the remainder when v is divided by 19?
18
Let w(y) = 8*y + 5*y**2 - 12*y**2 + 0*y**2 + 6*y**2. Calculate the remainder when 77 is divided by w(4).
13
Let j = -27 - -37. Suppose j*c - 4*c - 288 = 0. What is the remainder when c is divided by 25?
23
Suppose -2*g + 10 = 3*o, 6 = -0*o + 2*o + g. Suppose -2*d - 4*t = -36, -t = -3*d - o*t + 74. What is the remainder when d is divided by 9?
8
Let h = -13 - -233. What is the remainder when h is divided by 13?
12
Let b = 1116 - 1054. What is the remainder when b is divided by 35?
27
Let h = 310 + -171. Suppose -5*x - 112 = -232. What is the remainder when h is divided by x?
19
Suppose v = -3, w - 1346 = -0*w + v. What is the remainder when w is divided by 96?
95
Suppose -y - 4*a - 10 = 0, a = 2*y - a - 30. Let n(q) = -q**3 + 10*q**2 - 3*q + 41. What is the remainder when 29 is divided by n(y)?
7
Calculate the remainder when 1318 is divided by (1 - (-5 + 4))/(14/77).
9
Let j(u) = 78*u**3 - u**2 + 14*u - 15. What is the remainder when 137 is divided by j(1)?
61
Calculate the remainder when 118 is divided by (48/9)/(4/24).
22
Suppose 2*y - 64 = q, -4*y - 24 = 3*q + 118. Let g = q - -68. Calculate the remainder when 55 is divided by g.
13
Suppose -30*g + 59*g - 203 = 0. What is the remainder when 67 is divided by g?
4
What is the remainder when 116 is divided by 13/(7 + 30/(-5))?
12
Suppose -69*l + 144 = -57*l. Suppose -2*x + 25 - 5 = 0. Suppose -u = u - x. Calculate the remai
|
{
"pile_set_name": "DM Mathematics"
}
|
et t be (-6)/27 + (-316)/c. Let h = t - -11. Solve 4*a - 3*p - 26 = 0, h*a - 2*p = -0*a + 14 for a.
5
Let o be -2*(-8)/(-72) - 20/(-9). Solve o*y + y = -2*d + 2, 0 = -2*d - y + 2 for d.
1
Let m be (1 + 6 + -5)*2. Solve 0 = 4*c + 4 + 8, 0 = -j - m*c - 15 for j.
-3
Let h = -33 - -46. Solve q + 3 = -3*m - h, 0 = -3*m + q - 14 for m.
-5
Suppose -5*w + 3*j + 55 = 0, -3*w + 26 = -w - 2*j. Solve x = p - 4, -p + 0*x = 3*x + w for p.
1
Let v = -113 - -136. Solve 6*c - 3*c = 4*j + v, 0 = c - j - 6 for c.
1
Let w = -19 - -9. Let k(o) = 10 + 9*o + 0 - 3*o**3 - o**3 + 3*o**3 - 9*o**2. Let g be k(w). Solve -4*y + 16 = 2*n, 5*y = -0*y + 5*n + g for y.
4
Let w be (-32)/(-80) - 72/(-20). Solve -w*i - g = 4*g - 10, 0 = -i - 2*g + 1 for i.
5
Let y = 308 - 303. Solve g + 3*g + 5*u = 4, 4 = -y*g - 4*u for g.
-4
Let g = 5 + -17. Let i(v) = -2*v**3 - 2*v**2 - 3*v - 4. Let x be i(-2). Let d be g/30 + 4/x. Solve d = l + 2*f - 1, 3*f + 1 = l - 0 for l.
1
Suppose r = 4*m + 8, -m + 2 - 5 = 0. Let j = -2 - r. Let w be (5/4)/((-1)/(-7 + 3)). Solve -w*l - 4 = 2*v, 3*v - 3 = j*v for l.
-2
Suppose -82*x + 124 + 122 = 0. Solve -x*b + 6 = 0, -2 + 11 = -i + 3*b for i.
-3
Let d = -393 - -395. Solve 3*t + 2*t + d*v = 9, 2*t - 4*v + 6 = 0 for t.
1
Suppose 16*i - 360 = -20*i. Solve -n + 4 = 0, -16 = -5*y - 4*n + i for y.
2
Let y(v) = -v**2 + 6*v - 6. Let j be 5 + -2 + (-36)/(-12). Let f be y(j). Let d be f*(-2 - (-16)/12). Solve -3*w + 5 + 4 = 3*t, -d*w = -t + 3 for w.
0
Suppose -40 = -10*m + 5*m. Suppose 9 = d + m. Let f be 2/d*(-21)/(-14). Solve f*x + 4*t = -10 - 9, -x - 4*t - 17 = 0 for x.
-1
Suppose -4 = -m - 0. Suppose -3*h - 15 = 0, h - 5 = -2*n - m*h. Suppose 6*g - g = 0. Solve 3*s - j = -g*j + 17, 0 = s - 5*j - n for s.
5
Let s be (-5 + 364/77)*-11. Solve 3*t = -3*c + s, -t - 11 = 4*c - 0*t for c.
-4
Let n(a) = -a - 27. Let x be n(3). Let w be 4/((-4)/x*(-8 + 13)). Solve 0*y + 3*o = 3*y - w, 4*y - 11 = o for y.
3
Suppose u + 9 = 4*l, 2*l = 5*u - 6 - 3. Solve -4*n + 5*c + 17 = 0, 2*n = -3*c + l - 0 for n.
3
Suppose 2*k = 98 - 94. Solve -5*n = 25, -2*n = k*a + a + 13 for a.
-1
Let c be 17 + -10 - (2 + -1). Solve 0 = -2*o - 2*d + c, d + 0*d + 1 = o for o.
2
Let a = 64 + -25. Suppose 0 = -x + 2, -5*z + x - a = 13. Let g be (48/(-15))/(4/z). Solve -n + 4*n + g = h, -2*n - 10 = 4*h for n.
-3
Let y = 479 - 479. Solve 3*u - 5*o - 22 = y, 0 = 3*u - 3*o - 15 - 3 for u.
4
Let d be (3/(-9))/(-4 - 115/(-30)). Solve -2*b = -d*f, 3*b - 3*f = 4*b - 16 for b.
4
Let o be 9 - (-1 + -3 + 4). Let s(b) = b**2 - 10*b + 11. Let j be s(o). Suppose -h + n = h - 4, j*n - 8 = 0. Solve 0*t - h*u = -2*t + 2, -u = 3*t + 11 for t.
-3
Let l be (21/12)/((-1)/28). Let g be (-278)/(-7) - 14/l. Suppose -12 = -0*f - 3*f. Solve h + 4*h + f*y = -g, -h = -y - 1 for h.
-4
Let l be -2 - 15/(-9) - 4/(-12). Suppose 3*p + 5*a = 1, l*a - 8 = -5*p - 2*a. Solve -14 = 5*b - p*g, -7 = 2*b + 2*b - 3*g for b.
-4
Let l(k) = 4*k**2 - 2*k - 7. Let q be l(2). Solve y - 3*y = -q*o - 4, o = -5*y + 10 for o.
0
Let o be ((-5)/3)/(40/(-144)). Solve o*w + 4*n - 5 = w, 3*w - 2*n = 3 for w.
1
Suppose -37*m + 39*m = 78. Let f = 1 + 0. Suppose 3*d - m = -4*y + f, 0 = -4*d - 4*y + 48. Solve 4*x + 4*v - d = 0, x - 6 = -2*x + 5*v for x.
2
Suppose 0 = -2*f + 24. Let w = f + -12. Let u be -3 + -3 + 10 - w. Solve 5*q - 4 = -2*s, u*s + 4*q + 7 = 3 for s.
-3
Let p = -1152 + 1156. Solve -5*o - 10 = -b, 0 = -p*o - 2 - 6 for b.
0
Suppose -w + 4 = 0, 3*h - 9 = -2*w + 53. Let n be (44/33)/(4/h). Suppose -16 = -n*p + 2. Solve 17 = p*d + 4*u, -4*d + 3*u - 29 = -2*u for d.
-1
Suppose 4*f - 19 = -5*x, -f + 6 + 10 = 5*x. Solve -x*q - 4*k = -k - 3, 4*k = -3*q for q.
4
Let a be -7 + (4 - 0) + 20. Suppose -6*u = -7 - a. Suppose u*g + m - 47 = 0, 2*m - 17 = -g - 0*m. Solve 0 = w + 3*q - g, -w - 10 = -3*q - 3 for w.
2
Let s be (-1 + 2)*-4 + 9. Suppose -2*b - 2*b - 12 = s*g, -2*b = -4*g - 20. Solve -4*j + 3 - 11 = b*h, 0 = -3*h + j + 16 for h.
4
Let k be (-1)/2 - 13/2. Let s = k + 9. Suppose f = -1 + 23. Solve 7 = -d + z, -5*d + s*z = -d + f for d.
-4
Suppose 5*z - z - 3*b = -7, -4*b = 4*z - 28. Solve -3 = -w + z, -2*g + w = 5 for g.
0
Let d be -7 + 2 + -18 + 42. Solve -3*r = 2*v - v + d, 5*r - 3*v + 13 = 0 for r.
-5
Let c(z) = -6*z + 45. Let j be c(7). Solve -2*r = -2*p - 18, j*p - 5*r + 5 = 6*p for p.
-5
Let y = 91 - 91. Suppose y = 2*i - 4, -5*i = 4*v - 0*v - 10. Solve 3*w - 4*f - 3 + 10 = 0, 3*w + 4*f - 25 = v for w.
3
Suppose 2*a = 4*a + 68. Let m be 4/((-8)/a) + -1 + 4. Solve -2*o - 14 = 2*o - 2*g, -4*g = -4*o - m for o.
-2
Let m be (-320)/(-152) + (-8)/(-228)*-3. Solve 0*q + 26 = 5*q - 2*a, 14 = 2*q - m*a for q.
4
Suppose 3 = -g - 2*t, 4*g - 5*t + 3 = -10*t. Let i be (-69)/(-12) + g/12. Solve 5*j + 5*s + 19 = 2*j, i = -2*j - 2*s for j.
2
Suppose -5*k - 5*w - 96 = -3*k, 5*k = -4*w - 206. Let b = k + 69. Suppose -4*m = -33 - b. Solve i - m = -4*h, -i + 0 = -h + 4 for i.
0
Suppose 2*s - 1 - 1 = m, 0 = -5*s + 3*m + 5. Solve 0 = -t - 0*t + 4*z - 7, 0 = t - z + s for t.
1
Suppose -2*x + 5 = -x. Solve -2*d - 4 = -d - s, 2*d = -x*s - 15 for d.
-5
Let b be (2/(-6))/(1/(-9)). Suppose -u = -1 - b. Let n(t) = -4*t + 23. Let z be n(-3). Solve z = s - 4*s + u*c, 5*c = 5*s + 50 for s.
-5
Let t = 16 + -1. Suppose 5*k = 6*k - t. Suppose 2*g - 3*r = 2*r - k, -r = -3. Solve -i - z + 1 - 8 = g, 5*z = -15 for i.
-4
Let p(k) = -k**2 + 19*k + 46. Let q be p(21). Solve 0 = q*i - 4*f - 24, 5 - 2 = -3*f for i.
5
Let z = 16 - 13. Suppose -2*m = -4*m + z*w - 7, 5*m + w = 25. Suppose -1 = -m*h + 31. Solve r = -o - h, -r - 3 + 0 = 0 for o.
-5
Let w be 2/(-4)*(-48)/(-72)*-9. Let r(h) = -h**3 - 5*h**2 - h + 4. Let q be r(-5). Suppose -q = -4*o + 7. Solve 0*c + 4 = o*j - c, w*c = 0 for j.
1
Let p be 48/12*1/1. Suppose -r + 2*r - 11 = -2*f, 27 = 3*r + p*f. Let i(l) = -l - 15. Let j be i(-20). Solve -4*u + 0*z - 20 = 4*z, 5*u - j*z = r for u.
-2
Let u(f) = 3*f - 5. Let h be u(-3). Let c = h - -14. Suppose -5*a + 120 = 4*y, -4*a - y = -6*y - 96. Solve c*q = -2*q + 5*p - a, 0 = -q + 4*p - 18 for q.
-2
Let g be 5/2*(54/30 + -1). Suppose -g*w - 2*w + 11 = u, -2*u = 2*w - 10. Solve 5*z + 0*c + 5*c - 15 = 0, 0 = -w*z + 3*c + 1 for z.
2
Let u(s) = -s**2 - 2*s + 5. Let h be u(-4). Let i be 0/((h + 1)/2). Let m = 10 + i. Solve -3*v + 3*w + 15 = 0, -5*v = -v + w - m for v.
3
Let z be (-1 - (3 - 0)) + -4. Let b be ((-86)/(-4) + 12/z)*1. Solve -2*w - b = -5*l - w, 4*l = -2*w + 30 for l.
5
Suppose 3*l = -4*l + 112. Let s be 0 + 3 - (-3 + 1). Solve -s*r = -h - 25, -4*r + 4 + l = h for r.
5
Suppose q - 5*l - 1 = -q, 4*q - 26 = 2*l. Let r(b) = -2*b + 21. Let v be r(q). Solve 16 = c - 4*s, s - 5*s = v*c - 8 for c.
4
Suppose 0 = 22*m - 12*m - 30. Solve z + b + 9 = 0, 3*z + 2*z = -m*b - 37 for z.
-5
Let m = 125 - 118. Suppose -2*x + 5*t = m, 4*x - 36 + 11 = -3*t. Solve 2*a - 6 = -3*f, 2*f + 2*a + 0 - x = 0 for f.
2
Let k be 10/2*40*(-8)/(-200). Solve -4*p - y = -16, -2*p + 3*y + k = y for p.
4
Suppose 5 = -c - 4*p - 3, -3*p - 25 = -4*c. Solve c*j + 25 = -5*f, j - 15 = -2*j + 3*f for j.
0
Let k be 28/(-56)*(6 - 0). Let v be k/(9/(-4)) + (-38)/(-57). Solve 3*g - 9 = m - 1, 1 = g - v*m for g.
3
Let t be 35 + -16 + 5/((-5)/(-3)). Solve -15 = 5*m, 5*s - m + t = -0 for s.
-5
Suppose h + 2*h = 3*o - 15, 5*h - 15 = -3*o. Suppose -3*i - o = -3*n + 13, 13 = 3*n + 2*i. Solve -n*s - 5*j + 10 = 0, -s - 2*s - 2*j + 5 = 0 for s.
1
Let d = 20 + 3. Let r = d - 23. Suppose 3*m - 3*j = -r*j + 9, -4*j = m - 18. Solve 0 = 4*s - w + m, 2*s + 11 = -2*w + 3 for s.
-2
Let a(s) = -3*s + 51. Let u be a(17). Solve 4*i + o - 16 = u, -4*o = -7*o for i.
4
Suppose -5*d = -0*d + 5*m - 65, d + 5*m - 29 = 0. Suppose -27 - d = -9*u. Solve 0 = u*h - 5*h + b + 1, b = -3*h + 19 for h.
5
Let v(d) = d**3 - 3*d**2 - d + 3. Let q(r) = r - 1. Let p be q(4). Let l be v(p). Let z = 5 - l. Solve -2*g + 31 = z*s, -g = s - 0*g - 8 for s.
5
Let t be 5 + 32/(-2) - 0/(-2). Suppose 4*n - d - 68 = 2*d, -d - 4 = 0. Let z = t + n. Solve -2*x - 4 = -5*l, 2*x - 7 = 4*l - z*x for l.
2
Let c(w) = w + 22. Let q be c(11). Suppose 9 = -4*b + q. Solve -2*n - 2*y + b = -y, -3*n - 5*y + 9 = 0 for n.
3
Let f(s) = s - 2. Let y(c) = c + 3. Let j be y(2). Let l be f(j). Solve 5*m - l = -4*o, 1 = -4*m + 3*m for o.
2
Suppose 3*l + 12 + 12 = 3*d, -3*d - 4*l = -3. Suppose 10 =
|
{
"pile_set_name": "DM Mathematics"
}
|
e the first derivative of x**5/25 + x**4/10 - 7*x**3/15 + 2*x**2/5 + 134. Factor z(g).
g*(g - 1)**2*(g + 4)/5
Let x(n) = n**3 - n**2 + 3*n + 1. Let r = 169 + -170. Let u(h) = -2*h**2 + 5*h**2 - 2*h**2. Let k(s) = r*x(s) - 4*u(s). Suppose k(m) = 0. Calculate m.
-1
Let x(o) = -3*o - 70. Let q be x(-24). Suppose -d - q*d + 20 = 5*c, -16 = 4*d - 4*c. Factor -2/7*s**5 + 0*s - 2/7*s**4 + d + 2/7*s**3 + 2/7*s**2.
-2*s**2*(s - 1)*(s + 1)**2/7
What is k in 6*k**2 - 3*k**2 + 174 - 1413*k + 1590*k = 0?
-58, -1
Let u(a) be the second derivative of -a**7/336 + 17*a**6/60 - 611*a**5/80 + 187*a**4/8 - 363*a**3/16 + 2*a - 421. Find x, given that u(x) = 0.
0, 1, 33
Let k = 911/3676 - -2/919. Let l(i) be the second derivative of -5*i - k*i**3 + 0 + 1/4*i**2 + 1/8*i**4 - 1/40*i**5. Determine z so that l(z) = 0.
1
Let y(c) be the second derivative of -3*c**5/20 + c**4 - 2*c**3 - 32*c + 1. Find o, given that y(o) = 0.
0, 2
Let b(w) be the second derivative of -1/10*w**5 + 4*w - 4/3*w**3 + 0*w**2 + 0 + 2/3*w**4. What is l in b(l) = 0?
0, 2
Let x(c) be the third derivative of -5*c**6/24 - c**5/3 + 25*c**4/24 + 10*c**3/3 - 105*c**2. Factor x(g).
-5*(g - 1)*(g + 1)*(5*g + 4)
Suppose -17 = 2*s + 4*h - 57, 4*s + 4*h - 68 = 0. Suppose 8*q - s = 10. What is m in -10/11*m**q + 4/11*m**2 - 4/11 + 10/11*m = 0?
-1, 2/5, 1
Let l = -27 - -30. Solve 22 - 22 - 8*p**l - 4*p + 5*p**2 + 7*p**3 = 0 for p.
0, 1, 4
Let a(u) be the second derivative of -u**5/120 + 5*u**4/8 + 4*u**3/3 - 23*u**2/3 - 396*u. Suppose a(z) = 0. Calculate z.
-2, 1, 46
Let i(b) be the third derivative of -b**9/80640 - b**8/3360 - b**7/420 + b**5/15 - 6*b**2. Let h(f) be the third derivative of i(f). Factor h(m).
-3*m*(m + 4)**2/4
Suppose -32*m + 6163 = -1965. Let o = -501/2 + m. Solve -o*t - 1 + 5/8*t**4 - 9/4*t**2 + 7/8*t**3 = 0 for t.
-2, -1, -2/5, 2
Let g(s) be the first derivative of 3*s**5 - 5*s**4/2 - 5*s**3 + 5*s**2 - 133. Find n, given that g(n) = 0.
-1, 0, 2/3, 1
Let k(b) = -11*b**2 - 52*b - 71. Let u(d) = -4*d**2 - 18*d - 22. Let w(i) = -2*k(i) + 7*u(i). Suppose w(f) = 0. Calculate f.
-3, -2/3
Determine p so that 68/3*p + 0 + 4/3*p**2 = 0.
-17, 0
Let r = 22327 - 111632/5. Factor r*i**3 + 3/5*i**2 + 0 - 6/5*i.
3*i*(i - 1)*(i + 2)/5
Let k(x) be the third derivative of x**8/336 - 3*x**7/70 + x**6/4 - 23*x**5/30 + 11*x**4/8 - 3*x**3/2 - 7*x**2 - 11*x. Factor k(z).
(z - 3)**2*(z - 1)**3
Let r(t) be the second derivative of 5*t**7/14 - 10*t**6/3 + 51*t**5/4 - 155*t**4/6 + 30*t**3 - 20*t**2 - 4*t + 2. Let r(d) = 0. What is d?
2/3, 1, 2
Let g(t) be the third derivative of t**6/840 - t**5/70 + t**4/21 - 2*t**2 + 71*t. Factor g(v).
v*(v - 4)*(v - 2)/7
Let q(v) = v**2 + 28*v + 55. Let z be q(-26). Let a(c) be the first derivative of -1/14*c**2 + 1/21*c**z + 0*c + 3. Factor a(u).
u*(u - 1)/7
Suppose 24 = 420*u - 408*u. Factor 4/5*s - 3/5 - 1/5*s**u.
-(s - 3)*(s - 1)/5
Factor -3*w**2 + 0 + 1/4*w**3 - 13/4*w.
w*(w - 13)*(w + 1)/4
Let o(q) be the first derivative of q**7/168 - q**6/72 - q**5/3 + 5*q**4/2 - 19*q**3/3 + 20. Let w(g) be the third derivative of o(g). Factor w(i).
5*(i - 2)**2*(i + 3)
Let r be ((-5)/6)/5*(-357 - -354). Suppose t**4 + 0*t**2 + 0*t + r*t**5 + 1/2*t**3 + 0 = 0. Calculate t.
-1, 0
Factor -45*m - 3*m**3 - 9*m**2 - 43*m + 152*m + 0*m**3 - 52*m.
-3*m*(m - 1)*(m + 4)
Let l(n) be the first derivative of -n**5/40 + 5*n**4/24 - n**3/2 - 5*n + 11. Let q(i) be the first derivative of l(i). Factor q(v).
-v*(v - 3)*(v - 2)/2
Let f = -7 + 9. Let k be (-3)/f*8/(-21). Factor -2/7*u**5 + k*u**4 + 6/7*u**3 - 8/7*u + 0 - 8/7*u**2.
-2*u*(u - 2)**2*(u + 1)**2/7
Suppose -7496*h = -7502*h. What is n in 0 + h*n**3 + 2/7*n**4 + 4/7*n - 6/7*n**2 = 0?
-2, 0, 1
Let v be (1216/80 - 16)/(-1 + -1). Let u(i) be the first derivative of 0*i**2 - 1/10*i**4 + v*i**3 + 3 - 8/5*i. What is p in u(p) = 0?
-1, 2
Let y = 437/339 + 507617/8136. Let h = -536/9 + y. Let -15/8*b**3 - 3/4*b + 0 + h*b**2 = 0. Calculate b.
0, 1/5, 2
Let k = -1 - -3. Determine t so that -13*t + 4*t**2 + 16 + 5*t - 3*t**k = 0.
4
Let i(o) = 10*o**4 + 330*o**3 + 90*o**2 - 1255*o - 65. Let n(x) = x**4 + 30*x**3 + 8*x**2 - 114*x - 6. Let g(u) = 6*i(u) - 65*n(u). Factor g(r).
-5*r*(r - 6)*(r - 2)*(r + 2)
Let h(o) be the third derivative of 10*o**2 + 1/105*o**6 + 0*o**3 + 0*o + 0*o**4 - 2/105*o**5 + 0 - 1/735*o**7. Suppose h(s) = 0. What is s?
0, 2
Let y be 200/(-8)*4/(-20). Let z(a) be the third derivative of 0 + 1/120*a**6 + 2/45*a**y + 0*a - a**2 - 1/24*a**4 + 0*a**3. Find w such that z(w) = 0.
-3, 0, 1/3
Let -22/3*i**2 + 20/3 + 2*i**3 - 2*i + 2/3*i**4 = 0. What is i?
-5, -1, 1, 2
Let m = 52 - 49. Suppose -8 - 1 = -m*i. Determine o, given that -6/7*o**2 - 4/7*o + 2/7*o**4 + 0*o**i + 0 = 0.
-1, 0, 2
Let y(b) be the first derivative of 4*b**3 - 26 - 3/4*b**4 - 18*b - 3/2*b**2. Factor y(t).
-3*(t - 3)*(t - 2)*(t + 1)
What is d in 180/7 - 564/7*d**3 + 9*d**4 + 1437/7*d**2 - 996/7*d = 0?
2/7, 2/3, 3, 5
Suppose -4*i = 3*v - 8, -i = -52*v + 50*v - 2. Factor 0 - 1/9*u**i + 0*u.
-u**2/9
Suppose -4*h = -229 + 93. Factor 0*o**3 - 15*o - 5*o**3 - h + 2*o**3 - 12*o**2 + 28.
-3*(o + 1)**2*(o + 2)
Factor 46*n + 160/3 - 2/3*n**3 - 8*n**2.
-2*(n - 5)*(n + 1)*(n + 16)/3
Let n be 4/(-12) - (-3)/9. Let c = -5 + 10. Factor n*p**4 + p**c - 2*p**5 + p**2 + 3*p**4 - 3*p**3.
-p**2*(p - 1)**3
Let h(v) be the first derivative of v**4/72 - v**2/12 - 3*v - 12. Let g(p) be the first derivative of h(p). Factor g(n).
(n - 1)*(n + 1)/6
Let b(h) = -h**2 - 2*h + 2. Let k be b(1). Let y be (3 - 3) + 4 + k. Factor y*l**2 - 6*l - 1/2*l**3 + 4.
-(l - 2)**3/2
Let l(y) = y**3 + 5*y**2 + 3. Let b be l(-5). Suppose -b*j = 2*x, -5*x = -x - j. Solve 2/9*g - 2/9*g**2 + x = 0 for g.
0, 1
Let l(g) be the second derivative of g**4/16 + 45*g**3/8 - 323*g. Factor l(d).
3*d*(d + 45)/4
Let w(b) be the second derivative of b**5/20 + 9*b**4/8 + 4*b**3 - 8*b**2 - 13*b. Let g(o) be the first derivative of w(o). Factor g(r).
3*(r + 1)*(r + 8)
Let b(x) be the third derivative of -x**5/270 - x**4/12 - 20*x**3/27 + 316*x**2. Factor b(d).
-2*(d + 4)*(d + 5)/9
Let q = 964 - 961. Let b(p) be the second derivative of 0 - 1/48*p**4 - 1/6*p**q + 10*p - 1/2*p**2. Suppose b(j) = 0. What is j?
-2
Let n(v) be the first derivative of 15/2*v**4 - 6/5*v**5 + 4*v**3 - 6*v - 5/2*v**6 + 10 - 15/2*v**2. Determine u, given that n(u) = 0.
-1, -2/5, 1
Let j(c) be the second derivative of -c**6/30 - 61*c**5/20 - 119*c**4/12 - 59*c**3/6 + 8*c + 12. Let j(x) = 0. Calculate x.
-59, -1, 0
Let w(b) be the first derivative of -b**3/12 + 3*b**2/4 - 70. Solve w(j) = 0 for j.
0, 6
Let o(t) be the second derivative of -t**6/480 - t**5/48 - t**4/32 + 7*t**3/6 + 20*t. Let b(l) be the second derivative of o(l). Factor b(f).
-(f + 3)*(3*f + 1)/4
Let h be 418/225 - (-414)/(-5175). Suppose -16/9 - h*d**4 + 4/9*d + 4/9*d**5 + 32/9*d**2 - 8/9*d**3 = 0. What is d?
-1, 1, 4
Let i(m) be the first derivative of 1/270*m**6 + 0*m - 1/45*m**5 + 2 - 2/3*m**3 + 0*m**2 + 0*m**4. Let h(n) be the third derivative of i(n). Factor h(z).
4*z*(z - 2)/3
Let g(u) = 2*u**2 + 11*u - 25. Let o be g(3). Let p(i) = -5*i + 135. Let v be p(o). Factor -1/5*t**3 + 0*t**4 + 0*t + 0 + 0*t**2 + 1/5*t**v.
t**3*(t - 1)*(t + 1)/5
Suppose 0*t + 44 = 11*t. Let q be (t - (-50)/(-20)) + 2/4. Solve -6/5 - 2/5*d**3 - 14/5*d - q*d**2 = 0.
-3, -1
Let x(m) be the first derivative of -5*m**6/24 + 17*m**5 - 335*m**4/16 - 211. Factor x(c).
-5*c**3*(c - 67)*(c - 1)/4
What is u in 14*u**2 - 152*u - 31023*u**4 + 31019*u**4 + 84 + 34*u**2 + 24*u**3 = 0?
-3, 1, 7
Let k(y) be the second derivative of -3/40*y**5 + 0 - 18*y - 1/24*y**4 + 1/2*y**2 - 1/60*y**6 + 1/4*y**3. Suppose k(f) = 0. Calculate f.
-2, -1, 1
Let j(i) = i**3 - 2*i**2 - i + 2. Let o be j(1). Suppose 0 - 1 = l - z, -4*l + 3*z - 1 = o. Solve 0 + 2/3*f**l - 2*f = 0.
0, 3
Solve 18/13*l + 0 - 12/13*l**2 + 2/13*l**3 = 0 for l.
0, 3
Let q be 2 + 1*6/9*-3. Let u(z) be the second derivative of q - 1/3*z**3 - 1/2*z**2 - 4*z - 1/12*z**4. Factor u(w).
-(w + 1)**2
Let k(m) be the second derivative of -m**6/30 - 3*m**5/5 - 35*m**4/12 + 2*m**3 + 18*m**2 - 19*m - 2. Factor k(g).
-(g - 1)*(g + 1)*(g + 6)**2
Let l(f) = 2*f**3 + f**2 + f + 1. Let v(w) = 4*w**4 - 20*w**3 + 82*w**2 - 42*w + 6. Let i(a) = 6*l(a) - v(a). Find d such that i(d) = 0.
0, 1, 3, 4
L
|
{
"pile_set_name": "DM Mathematics"
}
|
et y = 221 - 220. Let p = 65.93 + -66. Which is the second biggest value? (a) 5 (b) p (c) y
c
Let y = 1 - 0.3. Let g = 277.2 - 282.2. Which is the fourth smallest value? (a) y (b) g (c) 6 (d) 2
c
Let g = -110 + 181. Let q = 114 - g. Let v = q - 45. Which is the third biggest value? (a) v (b) 6 (c) 0.2
a
Let l = -3.48 - -2.48. Let h = -0.107 + 0.137. What is the second biggest value in h, l, 3, -0.1?
h
Suppose 130 + 341 = -48*a + 205*a. What is the third smallest value in 545, 1/7, a?
545
Let z = 12675 + -15679. Which is the third smallest value? (a) 0 (b) -1 (c) z
a
Let s = -15526 + 15541. What is the second biggest value in s, 11, -3, 0?
11
Let g = 712 - 713.03. Let j = 0.97 + g. Let y = -3.2 - -3. Which is the third smallest value? (a) -3 (b) y (c) j (d) -1/4
b
Let k be (-11)/66*117/(-2652). Which is the second smallest value? (a) k (b) -0.5 (c) 0 (d) -6/7 (e) -5/4
d
Let k = -1.2186 - -35.2186. Which is the second biggest value? (a) 0.1 (b) 4/7 (c) k (d) 1/5
b
Let p be 3*3 - 125*9/135. What is the smallest value in p, 0, -1, 14, -4/7?
-1
Let d be ((-17655)/682 + 26)*((-2)/7)/(-1). Which is the biggest value? (a) 6 (b) -11 (c) d
a
Let w = 521.44 + -521.44. Let z(k) = 2*k. Let t be z(-4). Which is the third biggest value? (a) 0.8 (b) w (c) t
c
Let x = 41429 - 41429.2. Which is the biggest value? (a) 0.2 (b) x (c) -437/5
a
Suppose 0 = 3*l + 2*w - 54, -102 = l - 5*w - 137. What is the third smallest value in -4, -11, l?
l
Let g = -11 - -7. Let t = 25/849 + 1423/9339. What is the biggest value in 1/3, g, 3, t?
3
Let i = 4408 - 30850/7. What is the third smallest value in i, 43, -4/7?
43
Let d = -0.529 - 20.871. Let v = d + 15.4. Let m = -38 - -149/4. Which is the second biggest value? (a) v (b) m (c) 3
b
Let j(u) = 7*u**3 + 71*u**2 + 9*u - 4. Let r be j(-10). What is the smallest value in -1/28, 0.4, r?
-1/28
Let u = 0.48 - 0.58. Let y = 59 + 28. Let q = y + -84. Which is the second smallest value? (a) u (b) -6 (c) q
a
Let i = -95.412 + 90.412. Let f = 0.4 + -2.4. Which is the smallest value? (a) i (b) 14 (c) f
a
Let h = -576.9 - -580.9. Let w = 6 - 10. What is the third smallest value in w, -12, h, -0.1?
-0.1
Let n = 1382 - 1382.7. What is the second biggest value in -4, n, 1/11, -20?
n
Let g = 11754 - 11751. Which is the third biggest value? (a) -865 (b) 0 (c) g
a
Let i = -0.18 - -0.08. Let d = 6.5 - 33.5. Let p = d - -30. What is the fourth biggest value in -5, i, p, -2/3?
-5
Let j = -1 - -1. Let k be (-720)/900*(148/(-32) + 4). Which is the fourth smallest value? (a) -1/4 (b) k (c) -3.3 (d) j
b
Let u = 152 - 146. Let y be (6 - (-18485)/(-105)) + (-4)/u. Let z = -171 - y. What is the second smallest value in -3, 5, z?
z
Let r = 3958.4569 + -3958. Let k = r - 0.0569. What is the fourth smallest value in 0, -0.2, 4, k?
4
Let h = 11.2 - -152. Let u = -163 + h. Which is the second biggest value? (a) 3/8 (b) 2 (c) u
a
Let f = 11.019 + -16.019. Which is the third smallest value? (a) -0.4 (b) -53 (c) f (d) -0.03 (e) -3
e
Let c = 4923 - 4923.2. What is the second smallest value in -624, c, -3?
-3
Let x(v) = -3*v**2 - 28*v - 65. Let u be x(-5). What is the second smallest value in u, 65, -13?
u
Let u = 39 + -27. Let m be 18/(-90) - 2/10. What is the smallest value in u, 1/3, -4, m?
-4
Let p be 5/(-25) - (-72)/(-15). Let v = -155 + 464/3. What is the smallest value in -4, 0.1, v, p?
p
Let o = -6 - -9. Let q = -54 - -76.6. Let s = q - 23. Which is the smallest value? (a) s (b) -1/4 (c) o
a
Let s = 3720 + -3716. Let y = -3 + 4. Let r(x) = 4*x**3 + 2*x**2 - x. Let t be r(1). Which is the third biggest value? (a) t (b) y (c) s
b
Let h = 0 - -5. Let d = -0.108 - 308.892. Let g = 308.5 + d. What is the biggest value in 2, h, g, 2/7?
h
Let q = 7.156 - 7.456. Let x = 56 + -44. Which is the second biggest value? (a) x (b) 2/9 (c) q (d) -1/11
b
Let u = -368.47 + 6.47. Let t = -361.502 - u. Let g = 0.002 + t. What is the third biggest value in g, -2, -5?
-5
Let p = 6.7 + -7. Let l = 1438946/141 - 30616/3. Let r be 8/(-110)*(-45)/18. Which is the second biggest value? (a) r (b) l (c) p
b
Suppose -314*y + 428 = -660 - 482. Which is the biggest value? (a) -22 (b) y (c) -33
b
Let g = 1134 + -1137. Let q = -153 - -153.1. What is the second smallest value in q, 0.5, 5, g?
q
Let w = 88 + -87.6. Let p = 350 + -350. Which is the smallest value? (a) w (b) p (c) 3/10
b
Let r be (((-1)/(-6))/(4690/4020))/((-3)/(-7)). Let v = -0.8 + -0.2. Which is the fourth smallest value? (a) 7 (b) r (c) v (d) 0.01
a
Let y be 44/(-32) + (-175)/50*(-6)/56. Suppose 0 = 2*m - 1 + 15. Which is the fourth biggest value? (a) -0.4 (b) 0.03 (c) m (d) y
c
Let n = 0.2 - 1.2. Let w be (-360)/25 - (-714)/51. Which is the second biggest value? (a) -2 (b) n (c) w (d) -1/8
c
Let r = -282 + 280.89. Let t = -0.61 - r. Let c = -1.3 - -1. What is the smallest value in t, c, 5, 1/4?
c
Let t = 1605 + -1605.5. Which is the fifth biggest value? (a) -3/2 (b) -0.1 (c) -4 (d) -1/55 (e) t
c
Let d be (-34)/(2/10 - -1). Let b = d - -343/12. Let u(o) = o - 8. Let s be u(8). What is the biggest value in 1/5, b, s?
b
Let g = -0.772 - -2.872. What is the biggest value in -3, g, -4/5, 3/5?
g
Let c = -12073 + 12073.5. What is the third smallest value in -1/8, 0.1, 2.2, c, -0.12?
0.1
Let v = -4.91 + -0.09. Let x = -472019/5733 + 2/5733. Let j = -82 - x. What is the smallest value in v, -2/3, j?
v
Let r = 6.441 - 6.75. Let w = r + 0.109. Let a be (-1)/(-2) - (-22)/(-28). What is the third biggest value in a, w, -0.05?
a
Let j(x) = 3*x**2 - 73*x - 52. Let a be j(25). Let d be a + 6 - (-36)/(-9). What is the third biggest value in d, 4, 83?
d
Let h(f) = -f + 2. Let t = -274 + 272. Let u be h(t). Which is the biggest value? (a) u (b) 3/8 (c) -46
a
Suppose 2*c + 424 = 2*i, 138*c = 140*c + 4*i + 436. What is the biggest value in c, -2/9, 1/4, 4?
4
Let r = -2 + 7. Let g = -271643 + 271580. What is the second biggest value in g, -0.5, r?
-0.5
Let n be (-1645)/13818 + (-2)/12. Let r = 0 - 4. Which is the second smallest value? (a) 3 (b) n (c) -6 (d) r
d
Let j = 7781 + -7781.06. What is the fifth smallest value in 1, -0.1, j, -4, 11?
11
Let k = -150.22 - -149.22. What is the fourth biggest value in 6/11, 0.2, 0.5, -0.01, k?
-0.01
Let s = -1452.6 - -1453. Let g be (-12)/(-18) - 4/3. Let h = -1 + 4. Which is the biggest value? (a) g (b) s (c) h
c
Let k = -929.55 - -931. Let o = 2.55 + k. Let s = -37/2 + 18. Which is the smallest value? (a) o (b) -0.1 (c) s (d) 4/3
c
Let v(b) = 2*b**2 - 15*b - 79. Let i be 15*16/40 - (-5 - 0). Let r be v(i). Let t = -2 + 5. What is the second biggest value in r, 1/3, 2/5, t?
2/5
Let h = 111.79631 - -0.05369. Let y = 112 - h. What is the biggest value in y, -5, 0.3?
0.3
Let g be 34/14 + 9*(10 + (-1104)/108). Which is the third biggest value? (a) g (b) 0 (c) 2
b
Let l = 392 + -353. Let a = 128 - 87. Let o = l - a. What is the second smallest value in o, 4/7, -14?
o
Let m = -0.0164 + -303.9836. Let p = -307 - m. Let k = 2.726 - 0.026. Which is the second biggest value? (a) p (b) 2/11 (c) k
b
Let k = -7510058 + 4138039850/551. Let t = 74/19 + k. What is the biggest value in 0.2, t, 4, -4?
4
Let d(n) = -n**2 - 25*n + 26. Let x be d(-14). Suppose 20*q = -16*q + x. What is the third smallest value in q, 0.4, -3, -20?
0.4
Let b = 86 + 91. Let q = b - 228.8. Let l = 52 + q. What is the biggest value in l, 0.1, 1/3?
1/3
Let l = -12361 - -49441/4. What is the biggest value in 2, -13, l, 2/13?
2
Let q = 3250.4 - 3250. Which is the smallest value? (a) -5 (b) -1 (c) q (d) 24
a
Let w = -10/7 + 9/7. Let j = -331.5 + 332. Which is the smallest value? (a) j (b) 1 (c) w (d) -0.1
c
Let p = -13.3 + 14. Let k = p + 0.3. Suppose -17*f - 2*f = -5*f. What is the second smallest value in -2/9, k, f?
f
Let p = 128.66 - 128.6. Which is the fourth smallest value? (a) 0.2 (b) -1 (c) -2 (d) p
a
Let n = 3745 + -14983/4. Which is the third smallest value? (a) 1/39 (b) n (c) -2 (d) 4/7
a
Let q = -4034.899 - -4033. Let l = -0.101 + q. Which is the third biggest value? (a) l (b) -3/2 (c) 6
a
Suppose 583*s - 3*a = 588*s - 498, a = -3*s + 302. What is the smallest value in -2/17, 1/4, s, 3?
-2/17
Let v = 14
|
{
"pile_set_name": "DM Mathematics"
}
|
8582*s - 1
What is the third derivative of -265*y**5 - y**2 + 7 wrt y?
-15900*y**2
What is the third derivative of -5*m**2*q**3 + m**2*q**2 + 16*m**2*q - 2*m*q**3 - m*q**2 wrt q?
-30*m**2 - 12*m
Differentiate 2*a*d**3*o - 2*a*o - 350*a + 9*d**3*o + 3*d**2*o + d*o + o wrt a.
2*d**3*o - 2*o - 350
Find the second derivative of -33*c**2*o**2 - c**2 - 2*c*o**5 + 2*c*o**2 + 2*c*o wrt o.
-66*c**2 - 40*c*o**3 + 4*c
Find the second derivative of -1758*w**2 - 48*w wrt w.
-3516
What is the third derivative of 81*t*w**3 - 3*t*w**2 + 5*t*w + 7*w**3 - 27*w wrt w?
486*t + 42
What is the second derivative of 3*k*n**2 - 2417*k*n - 3477*n**2 + 2*n wrt n?
6*k - 6954
Find the third derivative of 4*d**2*o**3*q - 14*d**2*o**3 + 2*d**2*o**2*q + d**2*q - d*o*q + 4*o**2*q wrt o.
24*d**2*q - 84*d**2
What is the second derivative of -561*r**5 + 16*r - 69?
-11220*r**3
What is the first derivative of 896*b*z + 5*z + 147 wrt b?
896*z
Find the third derivative of -10*q**3*r**5 - q**3*r**3 + 3*q**3*r**2 + 2*q**3 + q**2*r**2 wrt r.
-600*q**3*r**2 - 6*q**3
Find the third derivative of 2*q**3*x + 226*q**3 + 397*q**2*x wrt q.
12*x + 1356
Find the third derivative of 1355*w**3 + 20*w**2 - 3*w wrt w.
8130
What is the first derivative of -8684*h - 1300?
-8684
Differentiate 200*p**4 + 77 with respect to p.
800*p**3
What is the third derivative of -2*b**3*o**3 - 4*b**3*o**2 - b**3*o - 284*b**2*o**3 - 2*b**2 wrt o?
-12*b**3 - 1704*b**2
What is the derivative of 2*m*s**3 - 2*m*s - 78*m + 13*s**2 - 2 wrt s?
6*m*s**2 - 2*m + 26*s
Find the second derivative of -935*y**2 + 154*y wrt y.
-1870
Differentiate 2*o**4 - 1038*o**3 + o - 20777.
8*o**3 - 3114*o**2 + 1
What is the first derivative of -6*q**2*x + 3*q**2 - q*x - 2*x - 4 wrt q?
-12*q*x + 6*q - x
Find the first derivative of y**3 - 291*y**2 + 1268 wrt y.
3*y**2 - 582*y
What is the derivative of -2127*z - 926 wrt z?
-2127
Find the third derivative of 8*u**5 - 519*u**4 + 23*u**2 - 5*u - 1 wrt u.
480*u**2 - 12456*u
Find the second derivative of -303*x**3 - 15*x + 10 wrt x.
-1818*x
Find the second derivative of 8*a**3*d**3 - 11*a**3*d + 4*a**2*d + 9*a*d**3 - d**3 - 4*d wrt d.
48*a**3*d + 54*a*d - 6*d
Find the first derivative of 2114*t + 1507.
2114
Find the second derivative of 17233*j**3 + 3923*j + 4.
103398*j
Differentiate -20*p**2 + 13*p + 729 wrt p.
-40*p + 13
What is the third derivative of -21*i**5*t**2 - 5*i**5 + 2*i**2 - 47*t**2 wrt i?
-1260*i**2*t**2 - 300*i**2
Differentiate 184*o**2*w**3 + o**2*w**2 - 178*w**3 + w with respect to o.
368*o*w**3 + 2*o*w**2
What is the third derivative of 21*g**3*q**4 - 3*g**3*q**2 + 3*g**3*q + 87*g**2*q**2 + 35*g*q**6 wrt q?
504*g**3*q + 4200*g*q**3
Find the first derivative of 4*c**3 + 34*c**2 + 271 wrt c.
12*c**2 + 68*c
Find the second derivative of -10*m**2*n + m**2 + 169*m*n wrt m.
-20*n + 2
What is the second derivative of 24*f**4 - 2*f**2*n**3 + 5*f*n + 19*n**3 wrt f?
288*f**2 - 4*n**3
What is the first derivative of -12*q - 8013?
-12
Find the second derivative of -7949*x**2 - 12840*x.
-15898
Differentiate -11220*o**3 + 325 wrt o.
-33660*o**2
What is the second derivative of -3429*z**2 - 19*z - 3?
-6858
What is the first derivative of -226*j*r**2 - 2*j + 3*r**2 - 7 wrt j?
-226*r**2 - 2
What is the second derivative of -49*i*v**5 - 2*i*v**2 + i*v + 15*v wrt v?
-980*i*v**3 - 4*i
What is the first derivative of 3074*x**2 - 1564?
6148*x
Find the second derivative of 35*m**3*y**3 - m**3*y + 446*m*y**3 + m*y**2 wrt m.
210*m*y**3 - 6*m*y
Find the third derivative of -11*a**3*b**3 + 9*a**3*b - 2*a**2 + 2*a + 32*b**3 wrt a.
-66*b**3 + 54*b
What is the third derivative of -y**6 + 7*y**5 + 174*y**3 + 6*y**2 - 41?
-120*y**3 + 420*y**2 + 1044
What is the third derivative of 4546*a**3*i**3 - 39*a**3*i**2 - a**2*i**2 + 2*a*i wrt i?
27276*a**3
Find the third derivative of -1526*c**2*t**6 + 4*c**2 + 2*c*t**6 + 27*c*t**2 - 5*t**2 wrt t.
-183120*c**2*t**3 + 240*c*t**3
Differentiate -i**4 - 146*i**2 + 461.
-4*i**3 - 292*i
Differentiate 16*h**3*q**2 + 456*h*q**3 + 9332*q**3 wrt h.
48*h**2*q**2 + 456*q**3
What is the third derivative of 5*g*q**5 - 5*g*q**3 - 2*g*q**2 - 95*g + 2*q wrt q?
300*g*q**2 - 30*g
What is the third derivative of -2*f**2*k**2*n**2*q - f**2*k**2*n + 6013*f**2*n**3*q + f**2*n**2*q + f*k**2*n**3*q - f*k**2*q - 19*f*k*q + 2*k**2*n**2 wrt n?
36078*f**2*q + 6*f*k**2*q
What is the first derivative of 4*u**2*w**2 + 7*u**2*w*x + 2*u*w**3*x + 5*w**3*x + w**3 wrt u?
8*u*w**2 + 14*u*w*x + 2*w**3*x
What is the second derivative of 633*m**3 - m + 43?
3798*m
What is the derivative of 2*b**2*n**2 + 4491*b**2 + 2*b*n**2 + n**2 + 28*n wrt n?
4*b**2*n + 4*b*n + 2*n + 28
Find the first derivative of 19*k**3*n*u + 215*k**3 - 4*k*n*u + 2*k*n wrt u.
19*k**3*n - 4*k*n
What is the second derivative of -1368*w**4 - 1238*w?
-16416*w**2
Find the second derivative of 151*g**2 + 2*g + 130 wrt g.
302
Find the second derivative of 25*p**5 + 6*p**4 + p - 32.
500*p**3 + 72*p**2
Find the second derivative of -12434*k**4 + 4418*k.
-149208*k**2
Find the first derivative of -81*x**2 + x + 351.
-162*x + 1
Find the second derivative of 7*d*k**2 + 2*d*k*o + 94*d*o**2 + 5*d*o + 3*k**2*o**2 + 2*k**2*o - 2*o**2 - 1 wrt o.
188*d + 6*k**2 - 4
Find the first derivative of 26742*w**2 + 26087.
53484*w
Find the second derivative of -2933*s**4 + 3*s + 320.
-35196*s**2
What is the first derivative of -1648*n - 1312?
-1648
What is the second derivative of 19*l**5 + 9*l**3 - 41*l - 3 wrt l?
380*l**3 + 54*l
What is the third derivative of 728*s**5 + 11*s**2 + 5*s?
43680*s**2
Find the third derivative of -39*g*q**2 - 4*g*q*t**3 - g*q*t**2 + 4*g + 4*q**2*t**3 + 4*q*t**3 wrt t.
-24*g*q + 24*q**2 + 24*q
Find the third derivative of 68*m**3*w**3*x**2 + m**3*w**2*x**2 - m**2*w**3*x - 3*m**2*w*x**2 + 5*m**2*w wrt m.
408*w**3*x**2 + 6*w**2*x**2
Find the third derivative of -q**2*z**5 + q**2*z**2 + 2*q**2 + 912*q*z**5 - 26*z**2 wrt z.
-60*q**2*z**2 + 54720*q*z**2
Find the second derivative of -2*q**5 - 3*q**4*z**2 - 8*q**2*z - 125*q*z**2 wrt q.
-40*q**3 - 36*q**2*z**2 - 16*z
Find the third derivative of -21839*a**4 - 2679*a**2 + 4 wrt a.
-524136*a
Differentiate -2*d**2*j + 2*d*j - 19*d - 1007*j with respect to d.
-4*d*j + 2*j - 19
What is the derivative of 875*w**2 - 140?
1750*w
What is the second derivative of 2527*n**2 + 2844*n wrt n?
5054
What is the first derivative of -7156*m - 3518 wrt m?
-7156
Find the third derivative of -1799*b**4*v + 2*b**2*v + 176*v wrt b.
-43176*b*v
What is the second derivative of -p**5 + 4*p**3*t**2 - 18*p**2*t**2 + 92*p*t**2 wrt p?
-20*p**3 + 24*p*t**2 - 36*t**2
What is the third derivative of 28994*a**5 - 960*a**2 - a - 1?
1739640*a**2
What is the second derivative of 3703*k*u**2*w**2 - 42*k*u**2*w - 8*k*u*w - 2*u**2*w wrt w?
7406*k*u**2
What is the second derivative of 737*b**3*m**2 + 27*b**3 - 2*b*m + 2 wrt m?
1474*b**3
Find the first derivative of 14*m**3 - 11*m**2 + 1089 wrt m.
42*m**2 - 22*m
Find the second derivative of 651*m**2*w**3 - 36*m*w**2 + 2*m + 2*w**3 wrt m.
1302*w**3
What is the derivative of 17*j**3*n**2 - 111*j**3 + 62*j**2*n**4 + 2*j wrt n?
34*j**3*n + 248*j**2*n**3
Find the third derivative of -3*p**6 + 160*p**5 - 978*p**2 wrt p.
-360*p**3 + 9600*p**2
Differentiate -3*n**4 - 121*n*r**3 + 15*r**3 + 7*r**2 - 4 with respect to n.
-12*n**3 - 121*r**3
What is the second derivative of 5*i**3*v**3 + 4*i**3 - 8*i**2*v**3 + 2*i*v**3 - 77*i*v wrt i?
30*i*v**3 + 24*i - 16*v**3
Find the first derivative of -3287*o**2 + 2680.
-6574*o
Find the third derivative of 19*q**5 - 4*q**4 + 48*q**3 - q**2 + 415.
1140*q**2 - 96*q + 288
What is the first derivative of 32*t**2*x**2 + 500*t**2 - 4*x**2 wrt x?
64*t**2*x - 8*x
Differentiate 65*b**3*j**3*z - b**3*j**3 - 73*b**3*j**2 + 2*b*j**2*z**2 - 4*j**3 wrt z.
65*b**3*j**3 + 4*b*j**2*z
Find the second derivative of -5*d**3*s**5 - 6*d**3 + 16*d**2*s**5 - 2*d*s wrt s.
-100*d**3*s**3 + 320*d**2*s**3
What is the first derivative of -642*u**2 - 557 wrt u?
-1284*u
What is the second derivative of 3*v**5 - 11*v**2 + 12*v - 3 wrt v?
60*v**3 - 22
Differentiate 3771*c**3*h + 1146*c**3 with respect to h.
3771*c**3
What is the third derivative of -5324*u**3*x**3 - 58*u**3 - 23*u**2*x**2 wrt x?
-31944*u**3
Find the third derivative of -2648*y**3 + 855*y**2 wrt y.
-15888
Find the second
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 0*y**2).
-74*y**4
Expand (-m**2 - 2*m**2 + 4*m**2)*(-m + m - 2*m) + 175*m**3 + 27369*m**2 - 27369*m**2.
173*m**3
Expand 2*w**2 - 2*w**2 + 2*w**3 + (-11*w**2 - 48*w**2 + 10*w**2)*(-2*w - w - w) - 3*w**3 - 2*w**3 + 3*w**3.
196*w**3
Expand (258 + 30 - 57)*(2 - 2 + 2)*(b**2 - b**2 - b**3).
-462*b**3
Expand (0*w**2 + w**2 + 0*w**2)*(-4 + 2 + 0) - 24*w**2 + 80*w**2 - 36*w**2.
18*w**2
Expand (-21*v - 38*v + 31*v - 8*v)*(0*v + 0*v + 6*v).
-216*v**2
Expand -3093*t**4 - 405*t**4 - 179*t**4 + (4*t - t - 4*t)*(0 + 0 - 1)*(-4*t**3 + 3*t**3 + 2*t**3).
-3676*t**4
Expand (2*o**2 - 5*o**2 + 4*o**2)*(-2 + 25*o - 5*o + 3)*(-15 + o + 15)*(1 + o - 1).
20*o**5 + o**4
Expand (l**3 + l**3 + 0*l**3 + (0*l**2 + 3*l**2 - 2*l**2)*(0*l - 5*l + 3*l) + l**3 - 2*l**2 + 2*l**2)*(-l + 0 + 0)*(-75 - 55 + 81).
49*l**4
Expand (7*h**3 - 2*h**3 - 3*h**3)*(h**2 + 0*h**2 + h**2 + (-62 + 62 - 2*h)*(-4*h + 13*h + 7*h) - 4*h**2 + 2*h**2 + h**2).
-62*h**5
Expand (1 + 1 - 8)*(-3*p - 4 + 4*p + 9*p).
-60*p + 24
Expand (25 + 38 - 7)*(1 - 5 + 2)*(3*c**4 - c**4 - c**4) + (-2*c**3 + 4*c - 4*c)*(1 + c - 1).
-114*c**4
Expand (0*s + 6*s - s)*(-109 - 92 + 41).
-800*s
Expand (2 + 0 + 0)*(-103*k - 129*k + 201*k)*(4 - 3 + 1)*(k**2 - k**2 - k**2).
124*k**3
Expand (430 - 430 - 182*l)*(4 - 3*l + 0*l - 3)*(7 - 3 - 3).
546*l**2 - 182*l
Expand (-73 + 25 - 65)*(c - c + c**3 + (0*c**2 + 4*c**2 - 5*c**2)*(c - 3*c + 4*c)).
113*c**3
Expand (-1 - 2 + 1)*(15*z + 8*z - z) + 2*z - 2*z + 3*z.
-41*z
Expand (-5*w**2 + 3*w**2 + 6*w**2)*(-11*w - 2257 + 2257).
-44*w**3
Expand (33*d - 47*d + 27*d)*(2 - 2 + 6*d + (4 - 3 + 0)*(4*d - 2*d - 3*d) + 0*d - 2*d + 0*d).
39*d**2
Expand (-5*l - 3*l + 6*l)*(3*l**4 - 2*l**4 + l**4) - 483*l**2 - 23*l**5 + 483*l**2.
-27*l**5
Expand (4 + 1 + 3)*(-7*a - 2*a + 10*a).
8*a
Expand (1 - 4 + 2)*(8*i - 20*i - 7*i).
19*i
Expand (2 + 1 - 1)*(-126*m**5 - 2*m**2 + 59*m**5 + 68*m**5).
2*m**5 - 4*m**2
Expand (4*b**4 + 0*b**4 - 3*b**4)*(-2 - 4 + 4) - 3*b**4 + 2*b**4 - b**4 - 2 + 0*b**4 - 3*b**4 - 2 - 14*b**4 + 18*b**4 + 14*b**4.
11*b**4 - 4
Expand z**2 - 471 + 237 + z + 232 + (1 - 2 - 1)*(-z**2 - z**2 + 0*z**2).
5*z**2 + z - 2
Expand (-2*h**3 + h**3 - 2*h**3 + (2 - 2 + 2*h**3)*(-1 + 3 + 2))*(-5*h + 4*h + 4*h).
15*h**4
Expand (-4 + 1 + 0)*(4*a**2 - 109*a + 109*a)*(-6*a**3 + 11*a**3 + 2*a**3).
-84*a**5
Expand (-2 + 6 - 2)*(-3*g + 3*g - g)*(17 - 36 + 6)*(-4*g + 3*g + 2*g).
26*g**2
Expand (37 - 37 + 5*z)*(3 + 1 + 0 + 2 + 3 - 4 + (-1 + 3 - 4)*(0 + 3 - 4)).
35*z
Expand (-1 - 11 + 110)*(-6 - 6 + 1)*(3*g + 0*g - g).
-2156*g
Expand (c + c - 4*c)*(51 - 24 - 22) + (c - 4*c + 5*c)*(2 - 5 - 1).
-18*c
Expand ((u**2 + u**2 - 8*u**2)*(0*u + u + 2*u) + 10*u**2 - 6*u**3 - 10*u**2)*(7*u**2 - 2*u**2 - 2*u**2).
-72*u**5
Expand (-31 + 10 - 3)*(0*g**2 - 2*g**2 + 6*g**2).
-96*g**2
Expand ((-2 + 6 - 3)*(o - 7*o + o) - 10*o - 15*o - 3*o)*(-o**3 + 4*o**3 - 2*o**3).
-33*o**4
Expand -120*x**2 + 120*x**2 + 38*x**4 + (1 + 2 + 0)*(-2*x**4 + 0*x**4 + 3*x**4) - x**4 + x**4 + 2*x**4.
43*x**4
Expand -x**3 - 3*x**4 + x**3 + (1 - 1 - 2*x**3)*(-2*x - x + 2*x) + 56*x**4 + 64*x**4 - 49*x**4 + x**4 - 3*x**3 + 3*x**3.
71*x**4
Expand (14*d + 11 - 34 + 18)*(-d**2 + 3*d**2 - 4*d**2).
-28*d**3 + 10*d**2
Expand (-5*m**2 + 3*m**2 + 3*m**2)*(19*m + 115*m - 235*m) + m**2 - m**3 - m**2.
-102*m**3
Expand 3*o**4 - 387*o**2 - 3*o**5 + o**5 + 411*o**2 + (0*o + 4*o - 3*o)*(2 + 3 - 3)*(2*o**4 + 0*o**4 - 3*o**4).
-4*o**5 + 3*o**4 + 24*o**2
Expand ((2 - 2 - 2*y)*(3 + y - 3) + 0*y**2 + 3*y**2 - 5*y**2 - 2*y**2 + 2*y**2 + y**2 + 2*y**2 + 32 - 32)*(-y - y + 0*y).
2*y**3
Expand (3 - 4 + 2)*(-z**5 + z**5 - 2*z**5) + 9*z**5 + z**5 - 5*z**5 + (4*z - z - 2*z)*(z**4 - 3*z**4 - z**4) - 8*z**5 + z**4 - z**4.
-8*z**5
Expand (-17*b - 80*b + 7*b)*(1 - 6 + 3).
180*b
Expand (-2*f**4 + 9*f**4 - f**4)*(26 - 34 + 30).
132*f**4
Expand 51*v**3 + 8*v**2 - 2*v**4 + 53*v**3 - 102*v**3 + (-4 - 2 + 0)*(-3*v**4 + 3*v**4 + 3*v**4).
-20*v**4 + 2*v**3 + 8*v**2
Expand (-2*c - 3 + 3*c + 0*c)*(-2 + 2 + 2)*(0 + 36 - 6)*(-2*c**4 + c**4 + 2*c**4).
60*c**5 - 180*c**4
Expand 4*l**5 - 46*l**5 - 39*l**5 + (-3*l**3 - l**3 + 2*l**3)*(-l + l**2 + l).
-83*l**5
Expand (228 - 125 + 235)*(g**3 + 6*g**3 - 4*g**3).
1014*g**3
Expand ((0*l + l - 2*l)*(34 + 19 - 16) + 0*l + 2*l + 0*l)*(2 + l - 2).
-35*l**2
Expand (4*c - c - c)*(-26*c + 198 - 198) - 1 + 1 + 3*c**2.
-49*c**2
Expand 50*m**2 + 38*m**2 - 87*m**2 + 151 + (0 + m + 0 + (5*m - 2*m - m)*(0 + 6 - 4))*(-4*m - m + 3*m).
-9*m**2 + 151
Expand -3*r**4 + 0*r**4 + 2*r**4 + (-3 - 2*r**2 + 3)*(3*r**2 + 0*r**2 - r**2) + 2*r**4 - r**4 + 0*r**4 + (1 + 2*r + 3 - 1)*(3*r**3 - r**3 - 3*r**3).
-6*r**4 - 3*r**3
Expand (-2 - 3 + 6)*(p**4 - 3*p**4 + 3*p**4) + (-2 - 4 + 4)*(18*p**4 - p**4 + 46*p**4).
-125*p**4
Expand (-56 + 164*b + 56)*(-5*b**3 + 2*b**3 + 2*b**3) + (-b + 3*b + 2*b)*(-b**3 + b**3 - b**3).
-168*b**4
Expand (-2*m + 5*m - 2*m)*(-m**3 + 0*m**3 + 0*m**3)*(-2 + 16 - 4)*(13*m + 0*m + m).
-140*m**5
Expand 2*d**2 + d**2 - 4*d**2 + (1 - 2 + 0)*(0*d**2 + 4*d**2 - 2*d**2) + 0*d**2 - d**2 + 0*d**2 + 0*d + 0*d - 2*d**2 + 28*d**2 + 14*d**2 + 4*d**2.
40*d**2
Expand (-a**2 + 7*a**2 + 5*a**2)*(6 - 2 - 3)*(7 - 3 - 2).
22*a**2
Expand (-4 + 6 - 4)*((4*r**2 - 4*r**2 - r**2)*(-r**3 + 3*r**3 + 0*r**3) - 6*r**5 + r**5 + 4*r**5 + (-5*r**2 - 2*r**5 + 5*r**2)*(-22 + 67 - 31)).
62*r**5
Expand (2*t**3 + 5*t**2 - 5*t**2)*(-3*t - 3*t + 14*t) + 3*t**4 + 0*t**4 - 5*t**4.
14*t**4
Expand ((0 - 2 + 0)*(2 - 2 + 1) - 1 + 2 + 0 - 2 + 2 + 2 + (3 - 4 + 0)*(1 - 3 + 1))*(-2*l - l + 4*l) - 1279 + 67*l + 1279.
69*l
Expand -3*u**5 + 4*u**5 + 0*u**5 + (5*u**2 - 4*u**2 - 3*u**2)*(7006*u**3 + 6700*u**3 - 12797*u**3).
-1817*u**5
Expand -u + 4*u - u + (-2 - 1 + 1)*(1007*u + 4 - 1008*u - 16).
4*u + 24
Expand -4*l**5 + l**5 + 5*l**5 + (0*l + 0*l - 2*l**4)*(0 + 2*l + 0) - 2*l**5 - l**5 + l**5 + l**2 + 44*l**5 + 42*l**4 - 74*l**5 + 25*l**5.
-9*l**5 + 42*l**4 + l**2
Expand (4*f - 140267 + 140267 + 186*f**2)*(-4 - f + 4).
-186*f**3 - 4*f**2
Expand 0*g**4 + 4*g + g**4 - 5*g + (0 + 0 - g)*(0*g**2 - 2*g**3 + 0*g**2) + 3*g**3 - g**4 - 3*g**3 + (-18*g - 136*g - 4*g)*(0 - g**3 + 0).
160*g**4 - g
Expand (0 + 0 - p**4)*(0*p - 2*p - p) - 4*p**5 + 0*p**5 + 3*p**5 + (0*p**2 - 2*p**2 + 0*p**2)*(3*p**3 + 3*p**3 - 4*p**3).
-2*p**5
Expand (0*o + 4*o - 3*o)*(2 + 0 - 4 + 2 - 4 + 4 + (-2 + 0 + 0)*(2 - 2 + 1)) + 2*o + 3*o - 2*o.
o
Expand (0*f**2 + 0*f**2 - 5*f**2)*(5 - 4 + 1) + 0*f**2 + 0*f**2 + f**2 + f**2 + f - f + (-f + 1 - 1)*(0*f - f + 0*f) + f**2 - 4*f**2 + 0*f**2.
-10*f**2
Expand (0 + 0 - 1)*(-2*m + 2*m - m) + (-1 + 1 + 3)*(6*m + 2*m - 3*m) - 5*m - m + 5*m + (1 + 0 + 1)*(m - 4*m + m).
11*m
Expand (-1303 - 2197 - 339 - 1155 + 1217)*(5*w - 2*w - w).
-7554*w
Expand (-3 + 3 - r)*(-107*r - 373 + 373).
107*r**2
Expand ((-6*f**2 - f**2 + 4*f**2)*(-3 - 2*f + 3) + 4*f**3 + 4*f**3 - 6*f**3 - f**3 - 1 + 1)*(-4*f + 3*f + 4*f).
21*f**4
Expand (-730*f - 727*f - 6*f**4 + 1451*f)*(3*f - 2*f - 2*f).
6*f**5 + 6*f**2
Expand 3*d + 2*d - 4*d + (-6*d + d - d)*(-1 + 1 - 1) + 6*d + d - 3*d.
11*d
Expand (0 - 2*c**2 + 0)*(-1 + 6 - 3) - 41*c**2 - 35*c**2 + c**2.
-79*c**2
Expand (-2*z**4 + z**4 - 2*z**4)*(-30 - 23 + 7).
138*z**4
Expand (-18*d + 12 - 12)*(-2 + 6 - 5)*(-1 + 1 - 2*d**3).
-36*d**4
Expand (3*k**3 + k**3 + 2*k**3)*(1 + 0 - 3)*(2 - 1 + 1)*(-2 + 2 + 3)*(-3 + 10 + 15*k**2 - 14*k**2).
-72*k**5 - 504*k**3
Expand (7*k**2 - 4*k**2 + 4*k**2)*(1346 + 38*k - 1346).
266*k**3
Expand (3 - 3 - y)*(61*y**2 - 6 - 58*y**2 + 100*y**3 - 102*y**3).
2*y**4 - 3*y**3 + 6*y
Expand (4*u - 4*u - u**2)*(0*u**3 + 2*u**3 + 0*u**3) - 8*u**5 + 9 - 9 + 4*u**5 - 77*u - 2*u**4 + 77*u.
-6*u**5 - 2*u**4
Expand (-1 + 1 + w)*(2332*w**2 + 2303*w**2 - 4591*w**2) + (0 - 2*w + 0)*(-1 + 1 + 2*w**2).
40*w**3
Expand (-5 - 9 - 22)*(3 + 0 - 1)*((-6*b + 4*b + 6*b)*(0 + 2 - 4) + 4*b + 2*b - 4*b).
432*b
Expand -b**2 - 33*b**5 + b**2 + (b + 2*b - b)*(b**2 - 3*b**2 + b**2)*(-3*b**2 - 4*b**2 + 2*b**2).
-23*b**5
Expand (-2*r - 5*r + 4*r)*(-5 + 0 - 1) + r - r + 4*r.
22*r
Expand (-3*q + 0*q + q)*(-3 + 3 + 4*q) - 12*q**2 + 22*q**2 + 7*q**2.
9*q**2
Expand (5*m**4 - 4*m**4 + 3*m**4)*(4*m - 3*m + m) + (5*m**5 + 0*m**5 + 5*m**5 + (-1 + m + 1)*(m - 3*m**4 - m))*(0 + 0 - 1).
m**5
Expand (-3*x**5 + 11*x**3 - 11*x**3)*(-2 + 4 - 6) - 3*x**5 + 4*x**5 - 5*x**5.
8*x**5
Expand 4*a**3 + 6*a**3 + 3 - 4*a**
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0 - 2 + 1 - 3 + 1).
10*p
Expand (0 - 1 + 3)*(-2*s**3 + 2*s - 2*s) + (-1 + 1 + 2*s**2)*(s - 4*s + s).
-8*s**3
Expand -7*d**5 - 2*d**2 + 2*d**2 - 2*d**5 + 0*d**5 - d**5 + (-4 + 2 + 4)*(0*d**2 + 2*d**5 + 0*d**2).
-6*d**5
Expand 0*l**2 + 4*l**2 - 5*l**2 + (0*l**2 - 2*l**2 + 0*l**2)*(-4 + 3 + 2) + l**2 + l**2 - l**2.
-2*l**2
Expand (0*j**2 + 0 + 2*j**2 + 1)*(-5*j**3 + 2*j**3 + 4*j**3).
2*j**5 + j**3
Expand (-q**3 + 3*q**3 + 3*q**3)*(5*q**2 + 3*q**2 - 3*q**2) + (0*q - 2*q**4 + 0*q)*(q - 2*q + 2*q).
23*q**5
Expand (-5*d + d + 3*d)*(11 - 11 + 4*d**4) + (0*d + d**2 + 0*d)*(d - d + d**3).
-3*d**5
Expand (3*w + w - 2*w)*(-2*w + 3*w + w) + 4*w**2 + 5*w**2 + 2*w**2.
15*w**2
Expand 3*u + 0*u + 4*u + (2*u + 0*u + 0*u)*(3 - 2 + 1).
11*u
Expand (0*i + 2*i + i)*(-i**4 + i**4 - 2*i**4) + 6*i**5 + 3*i**4 - 3*i**4 + (-3*i**4 + i**4 + 3*i**4)*(-4*i + 0*i + 2*i).
-2*i**5
Expand (-2*g**2 + 4*g**2 - g**2)*(3 - 2*g - 3) + (-2*g**2 + 3*g**2 - 2*g**2)*(2*g - 2 + 2) + 4 - 8 - g**3 + 1.
-5*g**3 - 3
Expand (-200 + 200 + k)*(2*k + 0*k - 3*k).
-k**2
Expand (35*p**2 - 35*p**2 - 9*p**3)*((1 - 2 + 2)*(3 - 3 + 2*p**2) - p**2 + 2*p**2 - 2*p**2 - 4*p**2 + 2*p**2 + 0*p**2).
9*p**5
Expand (-2*c**2 + c - c)*(1 - c - 1) + 3*c**3 + 4*c**2 - 6*c**3 - 2 + 6*c**3.
5*c**3 + 4*c**2 - 2
Expand -2*q**5 + 0*q**5 + 0*q**5 + (-q**4 - 2*q**4 + 6*q**4)*(-2*q + 4 - 4) + 14*q**5 + 46*q - 46*q.
6*q**5
Expand (-7*z + 2*z + 2*z)*(-4*z**2 - 2*z**2 - 2*z**2).
24*z**3
Expand (2*x**4 - 4*x**4 - x**4)*(0 + 0 - x) - 5*x**5 - x**5 + 4*x**5 - 2*x**5 - 4*x**4 + 4*x**4.
-x**5
Expand -13*w**4 + 9 - 9 + (-5*w**2 + 5*w**2 - 2*w**2)*(-2*w**2 + 3 - 3) + 2*w**4 + 2*w**3 - 2*w**3.
-7*w**4
Expand 0*a**3 - a**3 + 6*a**3 + (2*a + 0 + 0 - a - 2*a + 5*a + (a - a - a)*(-4 + 4 + 1) + a + 2*a - 5*a)*(-a**2 + 4*a**2 - a**2).
7*a**3
Expand (-z**2 + z**2 - z**2)*(5*z - 2*z - z) + (0*z + 0*z + z**2)*(17*z + 24*z - 5*z).
34*z**3
Expand -2*u**4 + 4*u**4 - 4*u**4 + (u + u - 4*u)*(0*u**3 + 6*u**3 - 4*u**3) + u**4 + 3*u**4 - u**4.
-3*u**4
Expand (2*p + 2*p + 12 - 10)*(-4 + 0 + 2).
-8*p - 4
Expand (j + j + 0*j)*(55*j**4 - 81*j**4 + 46*j**4).
40*j**5
Expand -3 + 3 - q + (0 - 2*q + 0)*(4 - 3 + 1) + 1 + 2*q - q + 0*q.
-4*q + 1
Expand (-2*v**2 + 2 - 2)*(3 - 3 + 2)*(5 - 1 - 1).
-12*v**2
Expand (2*b + b + 0*b)*(b + 7*b - 5*b).
9*b**2
Expand (3*z - 3*z + z - 4 + 4 + z + 5*z - 2*z - 2*z - 3 + 3 + z + (-z - 3*z + 3*z)*(0 + 0 - 1) - 3*z + z + 3*z + z - 3*z + z)*(-z - 1 - 4*z + 2*z).
-15*z**2 - 5*z
Expand (-6*l**2 + 2*l**2 + 2*l**2)*(-24*l + 40*l - 19*l).
6*l**3
Expand -2*u**2 - 1 - 2*u**2 + 0 + (-4 + 2*u + 4)*(-3 + 2*u + 3) + 4*u**2 - 6*u**2 + u**2.
-u**2 - 1
Expand (2*x + 2*x + 3*x)*(1 + x - x - x) - 5*x - 2*x**2 + 5*x.
-9*x**2 + 7*x
Expand 2*w**2 + 0*w + 0*w + 2*w**2 - 1 + 1 + (w + 2*w + 0*w)*(-w - 2 + 2).
w**2
Expand (-3*y**4 - 2*y**4 + 6*y**4 - 2*y)*(-3*y - 2*y + 3*y).
-2*y**5 + 4*y**2
Expand (-3*n**2 - 3*n**2 + 3*n**2)*(2*n - 2*n - 2*n)*(0 - 1 + 3).
12*n**3
Expand (-t**4 - 2*t**5 + t**4)*((1 - 1 - 3)*(-1 + 3 - 1) + 0 + 0 - 3).
12*t**5
Expand -6*p**3 - p - 36*p**3 + 72*p**3 + (0 + 1 - 2)*(p - p - 2*p**3).
32*p**3 - p
Expand 2*a**4 + a + a - 5*a**4 + (a**3 - 2*a**3 + 0*a**3)*(0*a - a + 0*a).
-2*a**4 + 2*a
Expand (j + j + 0*j)*(3 - 2 - 2)*(2 + 0 + 0).
-4*j
Expand (6*f**3 + 7*f**3 - 3*f**3)*(-2 + 0 + 1).
-10*f**3
Expand (-f + 2*f - 2*f)*(-5*f**2 + 0*f**2 + f**2)*(1 + 3 - 2).
8*f**3
Expand (2*s + s - 2*s)*(3*s - 4*s + 0*s) + s**2 + 0*s**2 - 3*s**2 + 4*s**2 - 13*s**2 - 4*s**2.
-16*s**2
Expand (1 - 4 + 1)*(0*l - 3*l + 2*l)*(3 - 3 - 2*l).
-4*l**2
Expand (0*w - 4*w + 2*w)*(2 + 1 + 4*w**3 - 2*w**3).
-4*w**4 - 6*w
Expand (-2*f - 3*f - 2*f**2 + 2*f)*(3*f + 1 - 1).
-6*f**3 - 9*f**2
Expand (4*w**3 - 2*w**3 + 0*w**3)*(w - w + 2*w) + 2*w**4 + w**3 - w**3 - 2*w**2 - w**4 + 2*w**2 - 2*w + 2*w + w**4.
6*w**4
Expand -5*c**2 + 5*c**2 + 3*c**2 + 4*c**2 + 4*c**2 - 5*c**2 + (-2 + 1 + 0)*(-c**2 - 4*c + 4*c) - 2*c + 2*c + c**2 - c**2 - 4*c**2 + 2*c**2.
5*c**2
Expand (0 + 0 + 2*d)*((-1 - 1 + 0)*(2 - 2 - 1) + 1 - 7 + 2) - 2*d - 1 + 1.
-6*d
Expand (2*i**4 + 3*i**3 - 3*i**3)*(-4*i + 5*i - 3*i)*(-3 + 6 + 6).
-36*i**5
Expand (3 + 0 - 4)*(-1 + 1 - k) + (3 - k - k - 1)*(1 - 1 - 9).
19*k - 18
Expand (-13 - 2*y**4 + 13)*((0 - 2 + 1)*(0 + 1 + 1) - 4 + 1 + 2 - 3 - 2 + 6 - 1 + 1 + 1 + 6 + 3 + 13).
-42*y**4
Expand l**5 - 4*l**5 - 5*l**5 + (-3*l**2 + l**2 + 0*l**2)*(4*l**2 + 2*l**3 - 4*l**2) + l**5 + l**3 - l**3 + (-l + l - l**2)*(-l**3 - 2*l**3 + 2*l**3).
-10*l**5
Expand ((4*u - 2*u + 0*u)*(3*u**2 - 2*u**2 - 3*u**2) + 3 - 3 - 2*u**3)*(4*u**2 + 2*u**2 - 4*u**2).
-12*u**5
Expand (-37*l**3 + 73*l**3 - 12*l**3)*(l + 1 - 1) - l**4 + 9 + l**2 - 11 - 2*l**2.
23*l**4 - l**2 - 2
Expand (2*k**2 - 2*k**4 - 2*k**2 + (k**3 + 0*k**3 + k**3)*(2 - 2*k - 2))*(4*k + 0*k - 6*k + 4*k - 3*k - 5*k + (-2 + 1 + 0)*(0*k + 0*k - 2*k)).
24*k**5
Expand 5*s**4 - 13*s**2 + 13*s**2 + 3*s**4 + 3*s**4 - 4*s**4 + 0*s**4 + s**4 + s**4 + (1 - s**3 - 1)*(3*s - 4*s + 0*s) + (-2*s - s + s)*(s**2 + s**3 - s**2).
8*s**4
Expand c - c + c**4 + 1 - c**4 - 1 + 5*c**4 + 0*c**4 - 3*c**4 + (-2*c**2 + 2*c**2 + 2*c**3)*(-1 + 2*c + 1) + 3*c**4 - 2*c**4 + c**4.
8*c**4
Expand (0 + 2 + 6)*(y + 3*y + 4*y)*(-2 + y + 2).
64*y**2
Expand a**5 + 0*a**5 + a**5 - 3*a**5 + 4*a**5 - 2*a**5 + (3*a**2 - 3*a**2 + a**2)*(a - a + 2*a**3) - 4*a**5 + a**5 + a**5 - 3*a**5 + 0*a + 0*a.
-2*a**5
Expand -7 - 6*t**4 + 7 + (-5*t**2 + t**3 + 5*t**2)*(-t - 2*t + t) - t**4 - 3*t + 3*t.
-9*t**4
Expand (-3*r**3 + 2*r**3 + 11*r**3)*(-2*r**2 - 3*r + 3*r) + r**2 - r**2 - r**5.
-21*r**5
Expand 2*w**4 + w**4 - 4*w**4 + (-3*w**3 - 4*w**3 + 0*w**3)*(0*w - 2*w - w) + (-3*w**2 - w**2 + 2*w**2)*(-w**2 + 0*w**2 + 0*w**2).
22*w**4
Expand ((2 + 2 - 2)*(-1 + 0 + 2) + 2 + 1 - 2 + 4 - 3 + 0)*(-4*v + 3 - 3).
-16*v
Expand (15*r - 35*r - 9*r)*(4*r - 2*r - r).
-29*r**2
Expand -2*p**2 - p**4 + 2*p**2 - 2*p**4 + 4*p**4 - 4*p**4 - p**4 + 4*p**4 - 2*p**4 + (-4 + 3 + 3)*(0*p**4 - 3*p**4 + 4*p**4) + 5*p**4 - 4*p**4 - 3*p**4.
-2*p**4
Expand 4*v**3 - 3*v**2 + 3*v**2 + (2 - 5 + 5)*(-4*v**3 + 5*v**3 + 0*v**3).
6*v**3
Expand (-3*o**2 - o**3 + 3*o**2)*(14*o + 27*o + 23*o).
-64*o**4
Expand (1 - 9 + 0)*(-3*d + 4*d + 0*d + (1 - 2 + 3)*(0*d - 4*d + 2*d)).
24*d
Expand -k**2 - 2*k**3 + k**2 + (-2*k**3 - 5*k + 5*k)*(-3 + 1 + 4) + 5 + 0 - 4*k**3 - 7.
-10*k**3 - 2
Expand (-1 + 8 - 2)*(3*b - 2*b - 3*b + 4 - 4 + 2*b + (0*b - b + 3*b)*(3 - 2 + 1) - 1 - b + 1 + 0 + b + 0).
20*b
Expand (-n + 3*n - 3*n)*(n**2 + n**2 - n**2) + 3*n**3 - 4*n**3 + 3*n**3 + (2*n**2 + 4*n**2 - 4*n**2 + (-n - n + 0*n)*(-4*n - n + 3*n))*(1 - 1 + 4*n).
25*n**3
Expand (3 - 3 + 2 + 1 - 2 + 0 + (5 + 2 - 5)*(1 - 6 + 3))*(0*v**2 + 3*v**2 + 0*v**2).
-9*v**2
Expand ((-2*q - 2*q + 3*q)*(2 - 1 + 0) - 1 + 1 - q)*(144 + 2*q + 2*q**4 - 144).
-4*q**5 - 4*q**2
Expand (-4*a - a + 3*a)*(-4*a - 11*a**4 + 4*a).
22*a**5
Expand (-2 - 2 + 6)*((3 + 1 - 3)*(-4*b**2 + 0*b**2 + 6*b**2) - 148*b + 6*b**2 + 148*b)*(-2 + 3 + 1).
32*b**2
Expand (-2 + 6 - 2)*(-43 - 26*v + 43) + (0 - 3 + 1)*(3 - 3 - v).
-50*v
Expand (-2*k + 2*k - k**2 + (-2*k - 2 + 2)*(k - 3 + 3) + (0*k**2 + 0*k**2 - k**2)*(4 - 5 + 2))*(0 + 1 + 4).
-20*k**2
Expand (-7 + 1 - 3)*(4*z**5 - 6*z**5 + z**5).
9*z**5
Expand (-2*n**3 - n**3 + 4*n**3)*(0*n + 3*n + 0*n) - n**2 + n**2 - n**4 - n**3.
2*n**4 - n**3
Expand (-4*n + 2*n + n)*(-2 + 7 - 2) - n - 2*n + n + n - 3*n + 5*n.
-2*n
Expand (2*p + 3*p - 2*p)*(7*p + p + 0*p).
24*p**2
Expand (2*q - 7*q - q)*(0*q**2 - 2*q**2 + q**2) + 2*q**2 - 2*q**2 + q**3 + 2 - 2 - q**3 + (0*q**3 - q**3 + 0*q**3)*(-3 + 5 - 1).
5*q**3
Expand (-1 + 1 - 1)*(-5 - 8*q + 11 + 6*q).
2*q - 6
Expand (-3 - 2 + 4)*(n**2 - 2*n + 2*n) + 2*n**2 + 0*n + 0*n + (-3*n + 7*n + 0*n)*(-n + 7*n + 2*n).
33*n**2
Expand -2*p**3 + 2*p**4 + 2*p**3 + (p - 3*p - p)*(3*p**2 - 3*p**2 - 3*p**2)*(4*p + 4*p - 6*p).
20*p**4
Expand (g**4 + g**4 - 3*g**4)*(-5*g + 10 - 10).
5*g**5
Expand (-3 + 4 - 3)*(-19*o + 14*o + 117*o).
-224*o
Expand (-q - 6*q + 5*q)*(1 - 17 + 6 - 15).
50*q
Expand (-d - 2 + 2)*(-46*d**3 + 10*d**3 - d**3).
37*d**4
Expand (-3 + 3 - 2)*(-3*v + v + 3*v) - 12*v + 5*v + 8*v - 1.
-v - 1
Expand (-n - 3*n + 2*n)*(-3*n**3 + 3*n**3 - 2*n**3) + (5*n**2 + 7 - 7)*(49*n - 49*n - 8*n**2) + 2*n**4 - 3*n**2 + 3*n**2.
-34*n**4
Expand -5*w**3 + 13 - 13 + 0*w**3 + 3*w**3 - 9*w**3 + (2*w**2 + w**2 - 2*w**2)*(
|
{
"pile_set_name": "DM Mathematics"
}
|
om {p: 2, i: 12, h: 4, o: 2}?
8/95
Two letters picked without replacement from wcjwjwjwwwgjhjgwjjfj. What is prob of picking 1 h and 1 w?
7/190
Four letters picked without replacement from uhphgkkughpgk. What is prob of picking 1 h, 1 u, 1 g, and 1 p?
36/715
Calculate prob of picking 2 a when two letters picked without replacement from wdywwaaaaayyydwwaw.
5/51
Three letters picked without replacement from orbhhnbanban. Give prob of picking 2 h and 1 a.
1/110
Calculate prob of picking 2 u and 1 g when three letters picked without replacement from {u: 16, g: 4}.
8/19
Two letters picked without replacement from kkffkkf. Give prob of picking 2 k.
2/7
What is prob of picking 4 i when four letters picked without replacement from {i: 7, g: 2}?
5/18
Three letters picked without replacement from {g: 6, m: 1, u: 4, j: 4, r: 1}. Give prob of picking 1 g, 1 j, and 1 u.
6/35
Calculate prob of picking 2 c when two letters picked without replacement from {x: 7, c: 2}.
1/36
Calculate prob of picking 2 r, 1 m, and 1 w when four letters picked without replacement from {n: 1, a: 1, r: 2, w: 2, m: 1}.
2/35
What is prob of picking 3 j when three letters picked without replacement from {y: 5, j: 13}?
143/408
Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {m: 1, s: 2, g: 1}.
1/6
Three letters picked without replacement from mlmmlmm. Give prob of picking 2 m and 1 l.
4/7
Two letters picked without replacement from {o: 10, q: 1, h: 7}. Give prob of picking 1 o and 1 q.
10/153
What is prob of picking 2 p, 1 i, and 1 k when four letters picked without replacement from fpppizckcpcccpicz?
1/119
Two letters picked without replacement from {q: 3, x: 3}. Give prob of picking 2 x.
1/5
Four letters picked without replacement from {k: 10, x: 4, e: 3, s: 2}. Give prob of picking 2 s, 1 k, and 1 e.
5/646
Four letters picked without replacement from pggggggpg. What is prob of picking 4 g?
5/18
Three letters picked without replacement from zqttkttzzfkw. What is prob of picking 1 f, 1 t, and 1 z?
3/55
Calculate prob of picking 1 u and 1 e when two letters picked without replacement from zueeheuzzhuki.
3/26
Two letters picked without replacement from hjjjyyhlyjjihhy. What is prob of picking 1 y and 1 l?
4/105
Three letters picked without replacement from hvnohhvvzhno. Give prob of picking 2 n and 1 v.
3/220
Four letters picked without replacement from jcjocccjmj. Give prob of picking 1 o, 2 c, and 1 m.
1/35
Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {u: 1, n: 1, m: 1, g: 1, y: 3}.
1/21
Three letters picked without replacement from {s: 1, h: 2, x: 1, y: 2, z: 1, r: 2}. What is prob of picking 1 z, 1 y, and 1 s?
1/42
What is prob of picking 2 m and 1 z when three letters picked without replacement from ssjzmjmmsjsmmss?
2/91
What is prob of picking 3 t when three letters picked without replacement from {t: 6}?
1
Four letters picked without replacement from aanaaaaaaaaaa. What is prob of picking 3 a and 1 n?
4/13
What is prob of picking 1 v and 1 x when two letters picked without replacement from {a: 1, p: 1, s: 1, x: 1, y: 2, v: 1}?
1/21
Calculate prob of picking 1 f and 1 v when two letters picked without replacement from yggfvfc.
2/21
What is prob of picking 3 e when three letters picked without replacement from eeeeeeeee?
1
What is prob of picking 2 z when two letters picked without replacement from {n: 6, z: 2, v: 10}?
1/153
Calculate prob of picking 1 i, 2 d, and 1 l when four letters picked without replacement from pprliddi.
1/35
Calculate prob of picking 1 w and 2 x when three letters picked without replacement from uwfwwwfxuwuuuxuxuwu.
6/323
Three letters picked without replacement from pppppbapppp. What is prob of picking 2 p and 1 b?
12/55
Three letters picked without replacement from ygrrrmrc. Give prob of picking 1 m, 1 y, and 1 c.
1/56
Four letters picked without replacement from dyeeeygdduy. What is prob of picking 1 e, 1 g, 1 d, and 1 u?
3/110
Four letters picked without replacement from {y: 8, n: 5, j: 4}. What is prob of picking 2 y and 2 j?
6/85
What is prob of picking 1 o and 2 b when three letters picked without replacement from koccbb?
1/20
What is prob of picking 1 k and 1 o when two letters picked without replacement from wlkco?
1/10
Calculate prob of picking 2 k when two letters picked without replacement from pkkpookkk.
5/18
Calculate prob of picking 1 v and 1 u when two letters picked without replacement from gggvvvvvugvuj.
2/13
Four letters picked without replacement from {w: 13, i: 5}. Give prob of picking 4 w.
143/612
Calculate prob of picking 1 l and 1 o when two letters picked without replacement from {p: 1, o: 2, u: 5, k: 1, h: 6, l: 2}.
1/34
Four letters picked without replacement from zrrzzzrrzr. Give prob of picking 4 z.
1/42
Three letters picked without replacement from {l: 2, w: 3, s: 1, q: 4}. Give prob of picking 1 w and 2 l.
1/40
Calculate prob of picking 2 o and 2 f when four letters picked without replacement from {o: 3, f: 3, e: 9, q: 1, w: 1, r: 2}.
3/1292
What is prob of picking 2 r when two letters picked without replacement from {x: 1, n: 1, y: 1, r: 2, o: 2}?
1/21
Calculate prob of picking 1 j and 1 z when two letters picked without replacement from jkkjkzjrkk.
1/15
Three letters picked without replacement from {w: 6, h: 1, v: 2, s: 1, x: 8}. Give prob of picking 2 v and 1 x.
1/102
Two letters picked without replacement from cccccceecc. What is prob of picking 1 e and 1 c?
16/45
Four letters picked without replacement from {c: 2, w: 1, r: 3, j: 4, a: 4, h: 1}. What is prob of picking 1 c, 2 r, and 1 j?
8/455
What is prob of picking 2 x when two letters picked without replacement from {b: 9, x: 2}?
1/55
Calculate prob of picking 3 z when three letters picked without replacement from {h: 2, z: 5, f: 2}.
5/42
Calculate prob of picking 1 b and 2 g when three letters picked without replacement from {v: 2, b: 7, f: 5, g: 4}.
7/136
Calculate prob of picking 1 l, 1 m, 1 b, and 1 w when four letters picked without replacement from wblmmlwmb.
4/21
Three letters picked without replacement from {m: 1, v: 3, y: 2, k: 3, w: 1, n: 1}. Give prob of picking 1 v and 2 y.
1/55
Two letters picked without replacement from dddssd. Give prob of picking 2 d.
2/5
Three letters picked without replacement from {c: 1, l: 11, y: 1}. What is prob of picking 2 l and 1 c?
5/26
Three letters picked without replacement from {y: 2, n: 4, h: 2}. What is prob of picking 2 n and 1 h?
3/14
What is prob of picking 2 i when two letters picked without replacement from lliiliillilili?
3/13
Two letters picked without replacement from tmttmttmttttttttttm. What is prob of picking 1 m and 1 t?
20/57
Two letters picked without replacement from nnnnnsns. Give prob of picking 1 n and 1 s.
3/7
Three letters picked without replacement from {u: 1, d: 7, q: 2, y: 3, h: 1}. Give prob of picking 1 y, 1 d, and 1 h.
3/52
Two letters picked without replacement from {f: 2, h: 2, e: 2, a: 2}. What is prob of picking 1 e and 1 a?
1/7
Calculate prob of picking 4 f when four letters picked without replacement from {s: 2, n: 2, f: 9, a: 1}.
18/143
Two letters picked without replacement from {p: 3, q: 5, y: 3, x: 1, o: 3}. What is prob of picking 1 y and 1 p?
3/35
Four letters picked without replacement from {o: 2, b: 7, x: 5, j: 3, p: 1}. Give prob of picking 1 b and 3 j.
7/3060
Calculate prob of picking 1 i, 1 e, and 2 l when four letters picked without replacement from delilueuulellldlele.
35/969
Two letters picked without replacement from {g: 4, b: 10, r: 1, t: 3}. Give prob of picking 2 t.
1/51
Two letters picked without replacement from cciggganagaz. Give prob of picking 1 c and 1 a.
1/11
Calculate prob of picking 1 g and 1 e when two letters picked without replacement from egeegeeeggegeegeege.
28/57
Three letters picked without replacement from bbbbbbbbb. What is prob of picking 3 b?
1
Three letters picked without replacement from {c: 11, b: 3}. What is prob of picking 3 c?
165/364
Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, g: 2, d: 2}.
1/15
Two letters picked without replacement from {z: 4, x: 4, a: 1, f: 1}. What is prob of picking 1 z and 1 a?
4/45
Calculate prob o
|
{
"pile_set_name": "DM Mathematics"
}
|
506.
-7002.0506
Subtract -0.101 from 4142727.5.
4142727.601
Put together -30789 and -214.5.
-31003.5
What is 851.5 minus -609723?
610574.5
Sum -10.1772012 and -0.044.
-10.2212012
What is 0.4 less than -8433804?
-8433804.4
Sum 1.69 and -18225675.
-18225673.31
Work out -0.412830603 - 1.3.
-1.712830603
What is 83.29 take away -0.20512?
83.49512
What is 2 plus 468.6966?
470.6966
What is -181822 + -600?
-182422
What is -4302 less than 133602?
137904
What is -18754 + -583.2?
-19337.2
Total of -6.136475871 and -2.
-8.136475871
Sum -587286277 and -0.4.
-587286277.4
Subtract -3 from -388677936.
-388677933
What is 3844915 less than -258.57?
-3845173.57
Work out -4.509 - 91487.
-91491.509
What is the difference between 399717 and 107?
399610
What is the difference between -2337537 and -0.5?
2337536.5
What is -0.2 + -1622749?
-1622749.2
Calculate 4106597 - -26.
4106623
Work out 8 - -7382342.
7382350
What is -0.2473993 - 0.0312?
-0.2785993
What is 24400181 plus -23?
24400158
Subtract 0.27 from 0.92881284.
0.65881284
What is -1268 - -60843?
59575
What is 19213 + -936095?
-916882
Work out -80.3364 + 0.1805.
-80.1559
Put together 1068468 and 142.
1068610
Total of 2.31725 and 69.258.
71.57525
-1029 - 0.001189437
-1029.001189437
Work out -6840.8986921 - 2.
-6842.8986921
What is the distance between 3 and 7010226?
7010223
1230+719796
721026
Work out -17.254328 - -0.01.
-17.244328
What is 94726034705 plus 2?
94726034707
What is -519623 take away 0.000809?
-519623.000809
What is the distance between -6 and 0.6011?
6.6011
Subtract 11488 from -9333.
-20821
0.3 + -1223431631
-1223431630.7
Put together 72 and -1252650.
-1252578
Work out -46.1 + -206952.
-206998.1
What is 14.134 less than 12838?
12823.866
Total of -3 and -28890.368.
-28893.368
What is the difference between 0.3330262 and -51145?
51145.3330262
What is 36 - -33938322?
33938358
Sum -4 and -1131.74165.
-1135.74165
What is -695302468 less than -0.4?
695302467.6
Sum -0.2635 and 135415.
135414.7365
What is -0.05 + -932.1769?
-932.2269
What is -654.9496 minus 102?
-756.9496
What is -0.0288 take away -31327914?
31327913.9712
Subtract 105 from -20134.3.
-20239.3
Work out 2.216819271 - 4.
-1.783180729
What is -4 + -796766173?
-796766177
Sum -68.164 and 205.
136.836
9.021981+-9118
-9108.978019
8268.6957 + 323
8591.6957
What is the difference between 15789.64 and 0.01?
15789.63
Work out 5 + 0.07297149723.
5.07297149723
What is 0.1 - -185162066?
185162066.1
Add together 620803.4 and 342.
621145.4
What is -51 plus -19.9811843?
-70.9811843
Put together 1 and 24142310.
24142311
Put together 1816382334 and -1.
1816382333
What is 1800.556 take away -18.67?
1819.226
What is -2831570912 plus -0.4?
-2831570912.4
Add -0.409533 and -0.5.
-0.909533
Calculate -5293.326 - 10105.
-15398.326
Work out -2216 + -18749.
-20965
Add -92.95 and 68.89.
-24.06
What is 0.0877929 plus -4234?
-4233.9122071
What is the distance between 0.38787757 and -3.3?
3.68787757
What is the distance between 0.51718437 and 1.37?
0.85281563
Add 33240473 and -11.
33240462
Put together 30 and 208804404.
208804434
Subtract 0.3733445 from 0.31.
-0.0633445
Work out 10.6 + -3117368.
-3117357.4
-0.1+6371809011
6371809010.9
What is -9965463 less than -54.7?
9965408.3
Work out -0.26 - 668581.
-668581.26
What is 0.4 + -46.487475?
-46.087475
-2.121306+-136
-138.121306
Add -0.0498 and -948.6.
-948.6498
Calculate -0.912 - -573804.
573803.088
What is -8 minus -6372912?
6372904
Work out -0.08 - -0.20775876.
0.12775876
336526 + -0.0273
336525.9727
Total of 951897 and 73.
951970
Total of 394326 and -1929.7.
392396.3
Subtract -46.2 from -4437039.
-4436992.8
What is 0.37863 less than 82881?
82880.62137
What is 25102 less than 0.0363?
-25101.9637
Calculate 0.006 + -4344813.
-4344812.994
What is -1419332 take away 62?
-1419394
Put together -0.2 and -15035461.
-15035461.2
Work out 0.2 + -127938735.
-127938734.8
Work out 191 + 4632.56.
4823.56
What is 0.26727 - -1.111?
1.37827
Calculate -1028156107 - -57.
-1028156050
Calculate 153 + 102.89606.
255.89606
Calculate -175227726 - 0.29.
-175227726.29
What is 338 plus -7200.36?
-6862.36
Put together -0.177 and 21182730.
21182729.823
-4900503 - -2
-4900501
Subtract -3.319567611 from 11.
14.319567611
-71660122 + 2
-71660120
Work out -0.622 - -1889867.
1889866.378
What is 8459407244 plus 0.16?
8459407244.16
What is 287610740 minus 0.2?
287610739.8
Work out 202255 - -666.
202921
Add 349 and 12660510.
12660859
What is -1 less than -1.9064833?
-0.9064833
What is -96380 less than 458528?
554908
What is -16 plus -0.009571268?
-16.009571268
What is 100945.47 take away -0.1?
100945.57
What is 16 less than -46.3148129?
-62.3148129
What is -2 take away 244569.44?
-244571.44
What is 217381 minus 0.42351?
217380.57649
Work out -0.177501 + -0.37.
-0.547501
What is 0.16 take away 169412437?
-169412436.84
What is -41309.3 - 2.54?
-41311.84
134963 - -1.9422
134964.9422
-21 + 155468
155447
Add 107666.05 and 4836.
112502.05
What is -0.15 + -30345.84?
-30345.99
Add together -91903 and -53.
-91956
Put together 1202510.4 and 2.
1202512.4
19 - 180837551
-180837532
What is 0.2 minus -24619.2281?
24619.4281
-3234248 - 125.6
-3234373.6
Subtract 0 from 12187.48853.
12187.48853
Subtract 73.241 from 142.2.
68.959
6269652 + 9
6269661
Add together -0.040583 and 5.88.
5.839417
What is the distance between -5753223974 and 0.3?
5753223974.3
59832 - -0.075
59832.075
9 - -2858601.414
2858610.414
-5119.9638 + -0.1
-5120.0638
Put together -0.44 and -119549.3.
-119549.74
Sum 0.03204294 and 0.048.
0.08004294
-0.91 - 2472007
-2472007.91
Calculate -463 + -891678.
-892141
What is -0.4055 take away -86561.9?
86561.4945
Sum -512450 and 1608.
-510842
What is the distance between -1.4 and -743826?
743824.6
What is the distance between 133897593 and -0.1?
133897593.1
Work out 1253 + 1275.85.
2528.85
What is 41 take away -7.030941?
48.030941
Add together -693442 and -7.28.
-693449.28
Put together 0.984 and -84582051.
-84582050.016
What is the difference between -5 and 3650664?
3650669
What is -365492.513 - -0.12?
-365492.393
0.3 + 289535.405
289535.705
What is -14 minus 0.314306735?
-14.314306735
Calculate 313 + 898951.
899264
Put together 1310.343 and -25.
1285.343
What is -5374.27 take away 0.5?
-5374.77
What is the distance between 0.095 and -5972.867?
5972.962
Calculate 943412742 + 5.
943412747
Work out -201.170867 + 0.2.
-200.970867
-0.3 + -5545.827
-5546.127
What is the distance between 31737 and -0.027119?
31737.027119
-31575037 - 0.3
-31575037.3
What is -2 + -222150162.01?
-222150164.01
Work out 2.863 + 2.0485.
4.9115
412 - 82042.2
-81630.2
Calculate -5 - -10179683289.
10179683284
What is the distance between 1.24783 and -2526?
2527.24783
What is the distance between 21295269 and -293?
21295562
Calculate 186986879 - -277.
186987156
What is the distance between 1.59 and 436735?
436733.41
What is -771.432 + -55?
-826.432
What is 5 take away 42354904?
-42354899
Put together -5431401 and -3529.
-5434930
What is -3 minus -362.2912?
359.2912
Put together -0.02 and 1816007.284.
1816007.264
Add -1.981 and -318609.
-318610.981
What is -9 plus -0.0014866905?
-9.0014866905
What is -33624 take away -617?
-33007
Subtract -0.97 from -115.3334.
-114.3634
Work out 0.01 - 20329379.
-20329378.99
What is 109360986290 + 3?
109360986293
Put together -1128716627 and 0.1.
-1128716626.9
Work out -19.85 + 0.2516846.
-19.5983154
116.543317 + 0.2
116.743317
What is -1.48 minus 23427627?
-23427628.48
What is the difference between 314925 and 13232?
301693
Work out 7 + -45972111.
-45972104
-2.47728359+-1
-3.47728359
What is the distance between -5.3752 and 0.322?
5.6972
Work out 260094531 + 1.
260094532
Calculate -1940 - 2531812.
-2533752
-1.72028555 - -12.6
10.87971445
What is 0.053376 take away -34255.6?
34255.653376
2+-4574946
-4574944
Calculate -400685 - -15.7.
-400669.3
What is -0.04923081 take away -0.144?
0.09476919
Calculate 507480 + 107235.
614715
What is the difference between -199771401 and -0.2?
199771400.8
What is -394.262016 take away -2.5?
-391.762016
Calculate 0.0212596 + 0.36409.
0.3853496
Add 0.2 and -17961887121.
-17961887120.8
What is the distance between -73 and 717745?
717818
Subtract 12 from 190856.
190844
Total of 0 and -16286152.
-16286152
Subtract 0.3 from 35949843.177.
3594
|
{
"pile_set_name": "DM Mathematics"
}
|
)))**2.
-56*sqrt(2)/11 + 2034/121
Simplify (4*-1*sqrt(132) + sqrt(132) + 4*sqrt(132)*2)/(-4*(sqrt(12) + -1*sqrt(1200) + sqrt(1200) + sqrt(12))).
-5*sqrt(11)/8
Simplify 3 + 3 + ((-1 + sqrt(99)*1 + -5)*1)**2.
-36*sqrt(11) + 141
Simplify ((-2*sqrt(520))/sqrt(10)*6)/(-5*(sqrt(4) - (sqrt(4) - sqrt(8)/sqrt(2))) + sqrt(4) + (-1*sqrt(196) - sqrt(196) - sqrt(196)))*4.
48*sqrt(13)/25
Simplify (5 + -2 + sqrt(13) + sqrt(13) - (sqrt(13) + 6*(sqrt(13) + -2)))**2 + 4*(2 + (sqrt(13) - (sqrt(39)/sqrt(3) + 3)) + sqrt(13)).
-146*sqrt(13) + 546
Simplify 5 + 2*(-5 + sqrt(72)/sqrt(6))*-3*3.
-36*sqrt(3) + 95
Simplify -6*(-5 + ((3*sqrt(208))/(sqrt(8)/(sqrt(2)*2) + sqrt(4)))**2).
-1218
Simplify ((sqrt(135) - (sqrt(135) - (sqrt(135) + -4*3*sqrt(135) - sqrt(135)) - sqrt(135)))/((sqrt(3) + -3*sqrt(108))*1))**2.
5445/289
Simplify ((-5 + 2 + sqrt(11))*4)**2 + -2*(sqrt(11) + 2)**2*1.
-104*sqrt(11) + 290
Simplify -4*(sqrt(153) + (1 + sqrt(153))**2 + sqrt(153) + -2 + sqrt(153)) + sqrt(272)*3 + ((sqrt(2448) + 1)**2 - sqrt(2448)).
-36*sqrt(17) + 1841
Simplify 3*((sqrt(539) - -2*(1 + sqrt(539) + sqrt(539))) + -6*(1*sqrt(539))**2).
-9696 + 105*sqrt(11)
Simplify (-1*(2*(0 + sqrt(2299) + sqrt(2299)) + (sqrt(2299)*1 + 0 - sqrt(2299))))**2*-2.
-73568
Simplify ((1 + sqrt(272) + sqrt(272) + 0 + sqrt(272))*4 - (-1 + 3*sqrt(272) + -1))**2.
432*sqrt(17) + 22068
Simplify ((sqrt(33) + (3*sqrt(297))/sqrt(9))/((sqrt(132)*3)/sqrt(12)))**2.
16/3
Simplify 3*(-5 + (sqrt(13) - sqrt(156)/(sqrt(12)*-1) - (1 + sqrt(1573))))**2.
324*sqrt(13) + 3267
Simplify (sqrt(180)*1*1 - (-6*(2 + sqrt(180)))**2)*-5.
4290*sqrt(5) + 33120
Simplify (2*(sqrt(21)/sqrt(3)*4 + 5)*3)**2.
1440*sqrt(7) + 4932
Simplify ((2*sqrt(270) - sqrt(270))/sqrt(10) + sqrt(27) + (sqrt(27) + sqrt(27)*2 + sqrt(27) - sqrt(27)) + -2)**2*5.
-300*sqrt(3) + 3395
Simplify 3*(-1*(sqrt(396) + 3) + sqrt(99)/(5*2*sqrt(9) - sqrt(9))).
-53*sqrt(11)/3 - 9
Simplify ((4 + 6*(sqrt(13) + 0 + 2 + (sqrt(104) + sqrt(104) + sqrt(104)*-4 + sqrt(104))/sqrt(8) + sqrt(13)))*-2)**2.
768*sqrt(13) + 2896
Simplify -1 + -1 + 2 + 4*(sqrt(112) + 1)*2.
8 + 32*sqrt(7)
Simplify -4*((sqrt(176) + 1)*6 + 5*(sqrt(176) - sqrt(176)*-2))**2.
-310608 - 4032*sqrt(11)
Simplify (((sqrt(117) + (sqrt(117) - sqrt(117)*1) + sqrt(117))*5 - sqrt(117))/sqrt(9)*1 + 5)*-1.
-9*sqrt(13) - 5
Simplify ((sqrt(112)*5)/sqrt(4) + (sqrt(847) + 4 + -2*sqrt(847) + sqrt(847))**2)*5.
80 + 50*sqrt(7)
Simplify -2*((1 + sqrt(700))*-4)**2 + 4.
-22428 - 640*sqrt(7)
Simplify (-5*(sqrt(51)/sqrt(3)*-4 - -3*sqrt(17)*4)*4)**2.
435200
Simplify 6*(-3*-2*sqrt(684)*6)**2 + 1.
5318785
Simplify -4*(5 + sqrt(243)*2 + ((0 + sqrt(3) + -1)**2 + sqrt(3))*3).
-60*sqrt(3) - 68
Simplify 3*-6*(4 + (sqrt(1900) + -1 + 2)**2).
-34290 - 360*sqrt(19)
Simplify (5*(3 + (sqrt(6050) - 5*((-1*sqrt(6050) + sqrt(6050) - sqrt(6050)) + sqrt(6050))) + 3))**2.
16500*sqrt(2) + 152150
Simplify (5 + -1*sqrt(7))*4 - ((sqrt(70)*-5 - sqrt(70))/sqrt(10) - sqrt(7))*5.
20 + 31*sqrt(7)
Simplify ((sqrt(80) + 3 + (sqrt(80) + (sqrt(80) + sqrt(80)*2 + sqrt(80) + sqrt(80) - sqrt(80)) + sqrt(80) + sqrt(80) - sqrt(80)))*2*-3 + 2)**2.
5376*sqrt(5) + 141376
Simplify ((sqrt(567)*4)/(sqrt(9) - (sqrt(90)*-1)/sqrt(10)))**2 - 3*5*sqrt(252).
-90*sqrt(7) + 252
Simplify (sqrt(84) + (sqrt(84) - (sqrt(84) - (sqrt(84) + sqrt(84) + sqrt(84)*4)*6)))/(sqrt(48)/sqrt(4)*5)*4.
148*sqrt(7)/5
Simplify (4*sqrt(2448) + -4 + -5)**2*6.
-5184*sqrt(17) + 235494
Simplify (-3*sqrt(3136)*-3)/(sqrt(175) + (sqrt(175) - (sqrt(175) + sqrt(175) + (sqrt(175)*-3*1 + sqrt(175) - sqrt(175)) + sqrt(175)))).
36*sqrt(7)/5
Simplify (6*4*((sqrt(156) + -4*sqrt(156) + sqrt(156) - sqrt(156))*4)/(sqrt(24)/(sqrt(2) - (sqrt(16)/sqrt(8) + sqrt(2)))))**2.
1078272
Simplify ((sqrt(1539) - (sqrt(1539) + -1)) + 2 - ((sqrt(190)*-2*-5)/sqrt(10))**2)*-1.
1897
Simplify -1 + (sqrt(84)/sqrt(4))/sqrt(3)*3*-1.
-3*sqrt(7) - 1
Simplify ((5*sqrt(204)/sqrt(4)*4)/(4*(sqrt(3) + -5*sqrt(6)/sqrt(2))))**2.
425/16
Simplify ((sqrt(153)*2 + sqrt(153))*-2 + sqrt(153) + (sqrt(153) - (-2*sqrt(153)*-1 + sqrt(153) - sqrt(153)) - sqrt(153)))/((sqrt(729)*-2 - sqrt(729))*-2).
-7*sqrt(17)/54
Simplify 3 + sqrt(147) + ((sqrt(147) - (sqrt(147) - (sqrt(147) + 1))) + -2 + sqrt(147))**2 + 4 + sqrt(147)*-1 + sqrt(147).
-21*sqrt(3) + 596
Simplify (-3 + (sqrt(28) + sqrt(112) + -1*sqrt(112) + sqrt(112))/(2*sqrt(196) - sqrt(196)))**2.
-18*sqrt(7)/7 + 72/7
Simplify (sqrt(5040) - (sqrt(5040) - (sqrt(5040)*-2 - sqrt(5040))))/(sqrt(28)/(sqrt(4)*-3)).
108*sqrt(5)
Simplify ((sqrt(14)*-1*-5)/sqrt(2) - (-1 + (sqrt(7) - (sqrt(14)*1)/sqrt(2))))**2*-1.
-176 - 10*sqrt(7)
Simplify (sqrt(2299)*-1 + sqrt(2299) + 5 + sqrt(2299) - (-4*sqrt(38)/sqrt(2) - (1*sqrt(19) + 2)))*-2.
-32*sqrt(19) - 14
Simplify -3 + (sqrt(12) + -5)**2 - (-4 + (sqrt(192) - (sqrt(192) + (1 + sqrt(192))**2))).
-4*sqrt(3) + 231
Simplify -3*((sqrt(112)*-3)/sqrt(2))/(sqrt(140)/sqrt(5)).
9*sqrt(2)
Simplify ((sqrt(112) + 2 - sqrt(7))**2 - (-3 + sqrt(21)/sqrt(3))) + (-3*sqrt(1400))/sqrt(8).
-4*sqrt(7) + 70
Simplify (-1*sqrt(1216)*-6 + -1)**2 + (1*sqrt(1216) + sqrt(1216))**2*-4*5.
-53503 - 96*sqrt(19)
Simplify 5 + (sqrt(880)*6)/(-2*sqrt(180) - sqrt(180)).
-4*sqrt(11)/3 + 5
Simplify 6*(5 + ((sqrt(832)*1)**2 + 5)*-4*6).
-120498
Simplify -6*(-2 + -1 + (sqrt(208) - sqrt(13))) - (-6*sqrt(143)*-1)/(sqrt(121)/(sqrt(22)/sqrt(2))).
-24*sqrt(13) + 18
Simplify (((4*-1*sqrt(396) - (4*sqrt(396) + 0 - sqrt(396))) + 0)*6)**2.
698544
Simplify ((sqrt(66)*1*-6*3)/((sqrt(726) - (sqrt(726)*1 - sqrt(726) - sqrt(726) - sqrt(726))) + sqrt(72)/sqrt(3)))**2.
3564/1225
Simplify (sqrt(304) + -1 + sqrt(304) + -4)**2 + -2 + (5 + sqrt(304)*1 - sqrt(304) - sqrt(304) - 4*((1 + sqrt(304))**2 - sqrt(304))).
-100*sqrt(19) + 24
Simplify 6*(2 + ((sqrt(102)*1)/sqrt(6))**2 + 3).
132
Simplify -3 + (1*(4*(sqrt(13) + -3 + sqrt(13)) + sqrt(13) + sqrt(13) + sqrt(637)*2 + sqrt(637)))**2.
-744*sqrt(13) + 12634
Simplify ((sqrt(108) + 0)*6 + (sqrt(108) - (sqrt(108) + 1))*4)**2.
-288*sqrt(3) + 3904
Simplify (-5*-2*(sqrt(343) + -2*sqrt(343))*6)**2*4.
4939200
Simplify (-2 + sqrt(432) + -2 + -4 + sqrt(432) - (4 + 4*sqrt(432)*1))**2.
576*sqrt(3) + 1872
Simplify (sqrt(99) - 5*sqrt(99)*2 - (sqrt(1100) - (sqrt(1100) + sqrt(1100) + sqrt(1100) + 2*sqrt(1100) + sqrt(1100)))*6)*1.
273*sqrt(11)
Simplify 6*(-4*(sqrt(162) + 1) - -3*(sqrt(162) + -2))**2.
1080*sqrt(2) + 1572
Simplify (sqrt(360)/(sqrt(48)/(2*sqrt(4))))/(-3*sqrt(1000)*-1 + sqrt(1000) - sqrt(1000))*5.
sqrt(3)/3
Simplify ((sqrt(288)/sqrt(6))**2 - sqrt(12)/sqrt(64)) + 0.
-sqrt(3)/4 + 48
Simplify (((sqrt(77) + sqrt(77)*-1)*-6 + 1*sqrt(77)*-1)/(sqrt(22)/(-5*sqrt(288))))**2.
25200
Simplify 1 + (sqrt(85)/sqrt(5)*6)**2 - (sqrt(85) - (sqrt(85) - -1*sqrt(85)*1))/sqrt(5).
sqrt(17) + 613
Simplify (4 + -5*((sqrt(468) + -2 - sqrt(468)) + -4 + 0 + 5))**2.
81
Simplify 5*(-4 + -2 + 1*(sqrt(704) - (-1 + sqrt(704))) + -1)**2.
180
Simplify (2*sqrt(21)*1 + (sqrt(21) - 2*sqrt(21))*-3)/(sqrt(567)*-2*1).
-5*sqrt(3)/18
Simplify (2 + sqrt(405))*-4 + sqrt(15)/(sqrt(147) - sqrt(147)*-4).
-1259*sqrt(5)/35 - 8
Simplify 2 + (3 + -6*(sqrt(567) + 2) + sqrt(567) + -1)**2.
900*sqrt(7) + 14277
Simplify -2 + sqrt(72)*1 + sqrt(72) + sqrt(162) + -1 + sqrt(4)/sqrt(2)*-3 + 2.
-1 + 18*sqrt(2)
Simplify (5 + (3 + 2 + sqrt(343)*-2 - (-1*sqrt(343)*-5 - sqrt(343) - sqrt(343))*-3))**2.
980*sqrt(7) + 16907
Simplify (sqrt(360)/sqrt(36))/sqrt(8) - ((sqrt(315) + (sqrt(315) + (sqrt(315) - (sqrt(315) + sqrt(315)*1) - sqrt(315)) - sqrt(315)))/sqrt(9))/sqrt(7).
3*sqrt(5)/2
Simplify (2 + (sqrt(147)*2)**2 + 0)*-1*1.
-590
Simplify -4*(-6*(2*sqrt(475))**2 + sqrt(475)) - (sqrt(475)*3 + 5)*1.
-35*sqrt(19) + 45595
Simplify (sqrt(34)/sqrt(72) + (sqrt(68) + -2 - sqrt(68)) + 4)**2.
2*sqrt(17)/3 + 161/36
Simplify 1 + ((-1*sqrt(150))/sqrt(3))/(-2*sqrt(250) + sqrt(250)).
sqrt(5)/5 + 1
Simplify ((-5 + 0 + 0 + (sqrt(832) - sqrt(832)*-5))*-5)**2.
-12000*sqrt(13) + 749425
Simplify (sqrt(3564) - (6*2*sqrt(3564) - sqrt(3564)))/(sqrt(20)/sqrt(80) - (sqrt(4) + -2*sqrt(144) + sqrt(144))).
-120*sqrt(11)/7
Simplify (-3*sqrt(3645)*4)/(sqrt(18)/sqrt(2)*6*4).
-9*sqrt(5)/2
Simplify (2 + sqrt(65)/(sqrt(20)*1))*1.
sqrt(13)/2 + 2
Simplify -3*((sqrt(7)*-4 + sqrt(7) - sqrt(7))*6 - ((sqrt(7) + 1)*6)**2).
288*sqrt(7) + 864
Simplify 1 + (sqrt(95)*2*-2 + sqrt(95) + sqrt(95) + sqrt(95))/(sqrt(5)
|
{
"pile_set_name": "DM Mathematics"
}
|
cking 1 d and 1 h?
1/18
Calculate prob of picking 2 n and 1 g when three letters picked without replacement from {g: 1, n: 2, a: 1}.
1/4
Calculate prob of picking 2 h, 1 t, and 1 l when four letters picked without replacement from {h: 3, l: 1, s: 1, i: 1, t: 1}.
3/35
Three letters picked without replacement from {x: 3, a: 4, d: 3, b: 1, t: 5, z: 4}. What is prob of picking 1 d and 2 x?
3/380
Three letters picked without replacement from llpppphoophlllppopl. What is prob of picking 2 l and 1 p?
40/323
Calculate prob of picking 1 f and 3 v when four letters picked without replacement from vfvvx.
1/5
Three letters picked without replacement from mmhmmwhhwhowm. Give prob of picking 1 w and 2 m.
15/143
What is prob of picking 2 k, 1 g, and 1 w when four letters picked without replacement from rkwgwk?
2/15
Two letters picked without replacement from ovlok. What is prob of picking 1 o and 1 l?
1/5
Two letters picked without replacement from ooaffjjdddadj. Give prob of picking 2 d.
1/13
Four letters picked without replacement from ppssllspssslppppsss. What is prob of picking 2 l and 2 p?
21/1292
What is prob of picking 2 k and 2 l when four letters picked without replacement from {k: 3, m: 4, d: 1, l: 2}?
1/70
Four letters picked without replacement from wwqqowqoqw. Give prob of picking 3 q and 1 w.
8/105
Three letters picked without replacement from attuu. Give prob of picking 1 t, 1 u, and 1 a.
2/5
Three letters picked without replacement from yjnyynnuydhjdhdjyyd. What is prob of picking 1 y, 1 n, and 1 d?
24/323
Two letters picked without replacement from {b: 2, g: 3, e: 4, d: 8}. What is prob of picking 2 d?
7/34
Calculate prob of picking 2 s and 1 m when three letters picked without replacement from msmsss.
3/5
Two letters picked without replacement from rbyvrynyorv. What is prob of picking 2 r?
3/55
Calculate prob of picking 3 l when three letters picked without replacement from mlmlmll.
4/35
What is prob of picking 1 p, 2 c, and 1 r when four letters picked without replacement from {r: 4, q: 1, m: 2, c: 4, p: 3, s: 3}?
18/595
Calculate prob of picking 2 m when two letters picked without replacement from {x: 5, m: 2}.
1/21
What is prob of picking 1 t, 1 b, and 1 k when three letters picked without replacement from {r: 4, q: 2, b: 1, t: 1, k: 1}?
1/84
What is prob of picking 1 v, 1 f, and 1 s when three letters picked without replacement from {f: 2, s: 1, c: 9, v: 2}?
1/91
Two letters picked without replacement from {a: 1, u: 2, h: 1, t: 1, c: 1, z: 1}. What is prob of picking 1 c and 1 t?
1/21
Four letters picked without replacement from uvuujtvvtvtjttvjt. Give prob of picking 2 j, 1 t, and 1 v.
9/238
Two letters picked without replacement from llllll. Give prob of picking 2 l.
1
Calculate prob of picking 1 f, 2 a, and 1 x when four letters picked without replacement from xfoaaxx.
3/35
Four letters picked without replacement from ylyylryyfjfyyylytyf. Give prob of picking 3 f and 1 t.
1/3876
Two letters picked without replacement from {m: 4, l: 3, w: 4, j: 4}. Give prob of picking 2 w.
2/35
Four letters picked without replacement from {n: 4, s: 2}. Give prob of picking 4 n.
1/15
Calculate prob of picking 1 p and 3 z when four letters picked without replacement from bbzzbllpbzplzbplbbb.
1/323
Three letters picked without replacement from {u: 1, o: 4, n: 1, v: 1, w: 2}. What is prob of picking 2 w and 1 n?
1/84
Two letters picked without replacement from mmajjnmmjm. Give prob of picking 1 n and 1 j.
1/15
Calculate prob of picking 2 y and 1 k when three letters picked without replacement from acyckykkkcykkay.
36/455
Four letters picked without replacement from zoozooozozzooo. What is prob of picking 4 o?
18/143
Four letters picked without replacement from {x: 10}. What is prob of picking 4 x?
1
What is prob of picking 1 d and 3 b when four letters picked without replacement from hbbbhdddddbhhdbddh?
4/153
Three letters picked without replacement from {b: 1, r: 1, p: 5, q: 4, x: 3, a: 1}. What is prob of picking 1 x, 1 p, and 1 b?
3/91
What is prob of picking 4 p when four letters picked without replacement from ppppp?
1
Calculate prob of picking 2 f when two letters picked without replacement from kggftf.
1/15
Three letters picked without replacement from tjcjccajjjtztjczt. Give prob of picking 1 a and 2 c.
3/340
Calculate prob of picking 2 p when two letters picked without replacement from {y: 1, p: 2, n: 1}.
1/6
Calculate prob of picking 2 z when two letters picked without replacement from zoyocyozcycyzooyzyy.
2/57
What is prob of picking 1 r and 2 w when three letters picked without replacement from {x: 9, w: 3, r: 4}?
3/140
Four letters picked without replacement from zzzzaazzzzzzzzzzzz. What is prob of picking 4 z?
91/153
Calculate prob of picking 1 r, 1 b, and 2 w when four letters picked without replacement from beeewweeeewewrweww.
7/1020
Calculate prob of picking 1 v and 2 d when three letters picked without replacement from aavvdvaadvaaava.
1/91
Two letters picked without replacement from {i: 2, d: 7, a: 4, c: 3, j: 1}. What is prob of picking 2 a?
3/68
Two letters picked without replacement from lugukkn. What is prob of picking 2 u?
1/21
What is prob of picking 1 b and 1 i when two letters picked without replacement from qkrkrqkaikkqbr?
1/91
Two letters picked without replacement from qql. What is prob of picking 2 q?
1/3
Calculate prob of picking 2 r when two letters picked without replacement from riirirriii.
2/15
Two letters picked without replacement from tlsiissltlsst. Give prob of picking 1 t and 1 s.
5/26
Calculate prob of picking 1 x and 1 o when two letters picked without replacement from ttmootxttq.
2/45
What is prob of picking 1 k, 2 o, and 1 f when four letters picked without replacement from {l: 4, o: 2, f: 1, w: 1, k: 1}?
1/126
Two letters picked without replacement from nvnvnvzsvnvn. What is prob of picking 1 s and 1 z?
1/66
Three letters picked without replacement from {w: 7, l: 5}. What is prob of picking 2 l and 1 w?
7/22
What is prob of picking 2 q and 1 l when three letters picked without replacement from {l: 3, q: 4}?
18/35
Calculate prob of picking 1 q, 1 o, and 1 x when three letters picked without replacement from {s: 4, o: 1, q: 4, a: 1, x: 1, k: 1}.
1/55
Three letters picked without replacement from mymm. What is prob of picking 1 y and 2 m?
3/4
Three letters picked without replacement from {b: 1, n: 1, u: 2, l: 1, r: 2, c: 2}. Give prob of picking 1 b and 2 c.
1/84
What is prob of picking 4 r when four letters picked without replacement from {u: 1, w: 4, r: 7, m: 1}?
7/143
Two letters picked without replacement from gxuff. What is prob of picking 1 x and 1 g?
1/10
Three letters picked without replacement from {c: 5}. What is prob of picking 3 c?
1
Calculate prob of picking 1 c and 2 a when three letters picked without replacement from axrrarscaxcrrrx.
6/455
Two letters picked without replacement from ggssssgggsgggggggg. What is prob of picking 2 g?
26/51
Calculate prob of picking 2 z when two letters picked without replacement from ddzdvzddvdddddkd.
1/120
What is prob of picking 1 x, 1 a, and 1 i when three letters picked without replacement from xiaodadoooiooaa?
8/455
Three letters picked without replacement from aiaiiaiiijaiii. Give prob of picking 2 a and 1 i.
27/182
What is prob of picking 1 k and 1 m when two letters picked without replacement from {u: 3, q: 2, f: 2, k: 1, m: 3, n: 1}?
1/22
Calculate prob of picking 1 l and 1 a when two letters picked without replacement from olmaiimoamti.
1/33
Three letters picked without replacement from bzbzzzbzzzzzzzzzzz. Give prob of picking 3 b.
1/816
Four letters picked without replacement from flttptbbpcfbfttccccf. What is prob of picking 2 t, 1 f, and 1 l?
8/969
What is prob of picking 1 t and 1 k when two letters picked without replacement from kkvvttkvvkvvt?
2/13
What is prob of picking 2 c when two letters picked without replacement from ccccccncnc?
28/45
What is prob of picking 2 p, 1 l, and 1 h when four letters picked without replacement from polollleelllllhllpl?
1/323
Calculate prob of picking 2 c when two letters picked without replacement from ffzffcczzfff.
1/66
Calculate prob of picking 2 c, 1 l, and 1 n when four letters picked without replacement fro
|
{
"pile_set_name": "DM Mathematics"
}
|
z(-6). Suppose -w = -3*p + 828. Is p a prime number?
False
Let c(a) be the first derivative of 60*a**2 + a + 97. Suppose 2*b = 2*t, 0 = 3*b - 0*b - t - 8. Is c(b) composite?
True
Let z be (129 + 4)/(1 + 0). Let c = 189 - z. Let b = 357 + c. Is b a prime number?
False
Let m = 42 + -36. Suppose 328 = h + m. Suppose h = -4*d + 1226. Is d composite?
True
Let i = 310 + -176. Is i composite?
True
Is 5 + (-9 + -13)/((-2)/72) a prime number?
True
Suppose -113 + 5 = -2*j. Suppose -h + 5*n = -18, 0*h - 3*n = -3*h + j. Is (-27)/h - 1498/(-4) a composite number?
False
Let l(j) be the second derivative of -j**5/20 - 2*j**4/3 + j**3/3 + j**2 + 2*j. Let m be l(-8). Is -2*1*1337/m prime?
True
Let m(i) = -i**3 + 21*i**2 - 28*i + 1. Let j be -4 - (-3 + -3) - -17. Is m(j) a prime number?
True
Let s be (17 + 4)*(-21)/(-9). Let o be (-16)/(-7) - 14/s. Is (o/6)/((-2)/(-1074)) prime?
True
Let w(h) = 523*h - 36. Is w(5) composite?
False
Suppose 0 = 3*h - 5*i - 29164, 4*h + 2*i - 19464 = 2*h. Suppose -5*p - 4*y = 237 - 12370, 4*p - 4*y - h = 0. Is p prime?
False
Let y(t) = 18*t + 5. Let f be y(5). Let l = f - -107. Is l a prime number?
False
Suppose 15*k - 6 = 12*k. Is (-1)/(1/k - 898/1788) a prime number?
False
Let v(f) = 5*f**2 + 6*f - 41. Let s(r) = -4*r**2 - 6*r + 40. Let m(l) = 6*s(l) + 5*v(l). Is m(18) a composite number?
False
Suppose -5*t + 3*h + 3053 = -4*t, -2*t + 6126 = -h. Is t a composite number?
True
Suppose -3*j + 436 = -2*m, -2*m + 730 = 5*j + 14. Let t = j + 163. Is t a prime number?
True
Let q = 10 - 18. Let n be 1980/q*(0 - 2). Suppose 4*b - 253 - n = 0. Is b prime?
False
Suppose 6*g - 11 - 13 = 0. Suppose b = -1 - 0. Is 0 + (b - -196 - g) a prime number?
True
Suppose -x + 18 = -1. Let l(n) = 3*n + 28. Is l(x) prime?
False
Let u(y) = 12*y - 6. Let o be u(-13). Let t = 167 - o. Is t a composite number?
True
Let y be 9/(-6)*-2 - 1. Suppose -h + m + 2*m = -83, h - 63 = -y*m. Is h prime?
True
Suppose 3*y = 4*i - 25, -4*y = -i + 3 - 0. Suppose -10*t + i*t + 801 = 0. Is t a composite number?
True
Let z = 78 - 76. Suppose 2*m = -4*d + 4562, m - z*d - 1203 = 1074. Is m prime?
False
Let j(v) = -5*v - 1. Let d be j(-1). Let r(w) = w**3 - w**2 - 4*w + 3. Let t be r(d). Is 594/10 + (-14)/t prime?
True
Let i(w) = -59*w + 5. Let f(p) = 2*p + 16. Let s be f(-12). Let m = 6 + s. Is i(m) prime?
False
Suppose -r - r = -y - 5, -r = 5*y - 30. Suppose -3*h = r*d + 72 - 334, 321 = 4*h + d. Is h composite?
False
Let n(k) be the first derivative of -57*k**2/2 + 7*k + 17. Is n(-4) prime?
False
Suppose -9*v = -4*v - 32525. Is v prime?
False
Let a be (1 - 4) + 1975 + 5. Suppose 0 = -v + 4*j + 1975, -v + a = -2*j - 0*j. Is v a prime number?
True
Let l(c) = 3*c**3 - 5*c**2 + 3*c - 3. Let w be l(3). Let j = w + -7. Is j a prime number?
False
Let m(g) = g**3 - 3*g**2 - 4*g + 2. Let o be m(4). Let n(x) = -3*x - x + 30 + 9*x**o - 28. Is n(3) a prime number?
True
Let w(n) = 380*n**2 - 2*n + 3. Let q be w(2). Suppose 0 = -7*o + 14*o - q. Is o prime?
False
Let l = -19 + 23. Suppose -5*m = -f + l*f - 926, -1538 = -5*f - 3*m. Is f a prime number?
True
Suppose -t - 5*f = -13, 2*t - 4*f + 4 = f. Suppose t*s + 2*s - 153 = -m, 5*s = 20. Is m a prime number?
False
Let l(a) = 3*a**3 + 3*a**2 + 2*a + 1. Let x be l(-2). Let v = -13 - x. Let u = 6 - v. Is u composite?
True
Let h = 59092 - 11303. Is h a prime number?
False
Let h(p) be the second derivative of -p**5/20 - 7*p**4/6 - 3*p**3 - p**2 - 13*p. Is h(-15) a composite number?
True
Let x(u) = -155*u + 5. Let r be x(-6). Suppose r = -18*o + 23*o. Is o prime?
False
Let l = -4380 + 12049. Is l composite?
False
Suppose 33 = -0*j - 3*j - 3*l, -3*l - 49 = 4*j. Let q = -12 - j. Suppose -138 - 170 = -q*f. Is f a prime number?
False
Suppose -2*x + 2666 = 2*d, -d = -5*d + x + 5352. Is d a composite number?
True
Let i(h) = 44*h + 2. Let d(n) = n**3 - 11*n**2 + 12*n - 12. Let m be d(10). Suppose -7*u + m*u = 3. Is i(u) a composite number?
True
Let h be (-4)/5 - 3612/(-15). Suppose 0 = 2*a - 444 - h. Let z = a + -53. Is z composite?
True
Suppose 2*v - 4*m = 7426, -53*v - 3*m - 3716 = -54*v. Is v composite?
True
Let m be 18/(-15)*70/(-3). Suppose -l - 2*l + 5*q = m, 4*l = -q - 22. Is (-260)/l + 2/(-6) a prime number?
True
Let z = 2 + 0. Let g = 58 - 72. Is g*z/(-4)*127 a composite number?
True
Is ((-30)/20)/((-6)/4)*10417 a prime number?
False
Let a(g) = -2. Let h(j) = -j**2 - 2*j - 8. Let f(q) = 4*a(q) - h(q). Let z(m) = -m**3 + 4*m**2 - m + 1. Let i be z(4). Is f(i) a composite number?
False
Suppose 0 = -5*a + 5*z - 6355, -5*a + 2*z - 1275 = 5077. Let u = -777 - a. Is u composite?
True
Let d = 644 + -1758. Let i = 2178 + d. Let x = i + -267. Is x a composite number?
False
Let i be (-3 - 0/4)/(-1). Is (i + -4 + 38)*5 prime?
False
Suppose -3*v - 3 = -51. Is (-2)/v + (-3257)/(-8) a composite number?
True
Is (12*-11249)/(-3) - 9 prime?
True
Let l be 3/(9/2258)*6/(-4). Let x = l - -1596. Is x prime?
True
Let s(g) = -76*g**2 - 2*g - 1. Let h be s(-2). Let z = 450 + h. Is z prime?
True
Suppose -3*r + 0*r + 1863 = 3*z, z = 2*r + 612. Let g = z - -483. Let x = -754 + g. Is x a prime number?
True
Suppose 3*g - 45 = -3*t, -6*g - 2*t = -5*g - 19. Suppose 5*j - g = 9. Suppose -j*r + 51 = -41. Is r a prime number?
True
Suppose 0*y - k = 2*y - 9, -k = -1. Suppose -y*o = -6*o + 74. Is o a composite number?
False
Let w = -8425 + 12368. Is w composite?
False
Let q = 11 + -8. Let b = q - 1. Suppose -202 = -p + c + 248, b*c = -p + 447. Is p composite?
False
Suppose -6*x + 9140 + 592 = 0. Is 2/4*x - -4 a prime number?
False
Suppose -2*w - 2*q = 16, w + 3*q = -0*q - 16. Let u be w/(-14) + (-66)/(-14). Is (185/u)/(2/14) composite?
True
Is -30 - -5149 - 6/1 composite?
False
Suppose -d - 2*w + 10 = -w, 15 = 3*w. Suppose 2542 = y - d*l, 3*y - 2*l - 10078 = -y. Is y composite?
True
Let u(y) = 12 + 50*y - 37 - 30 - 12. Is u(15) a prime number?
True
Let l = -128 - -462. Suppose 54*a - 58*a = -560. Let r = l - a. Is r prime?
False
Let k be (2 + 3)/((-2)/(-2)). Let f(l) be the third derivative of l**5/15 - 5*l**4/24 + l**3/3 - 3*l**2. Is f(k) a composite number?
True
Suppose -3*o - 7511 = -4*v + 3*v, -2*o = 5*v - 37487. Is v a composite number?
False
Suppose -9*v + 10653 = -50889. Suppose 6*o - v = -544. Is o a composite number?
False
Let p = 3091 + 12402. Is p a composite number?
False
Suppose -5*t + 2*w = -3320, t = -4*w + 2*w + 652. Is t a composite number?
True
Let s(n) = -31*n**3 + 3*n**2 - 3. Suppose j + 6 = 4*t, 5*j + 12 - 2 = 0. Let o(f) = f**3 - f**2 + 1. Let r(i) = t*s(i) + 2*o(i). Is r(-2) a composite number?
True
Let g(b) = b**2 - b + 2. Let x be g(2). Let m be (0 + 4)*(-5)/(-10). Suppose 0 = x*i - 4 + 24, -2*c - m*i = -84. Is c composite?
False
Let w(g) = 2891*g - 894. Is w(5) composite?
True
Suppose -17*l + 37542 = -11*l. Is l prime?
True
Let o = -11699 + 18696. Is o prime?
True
Is 201/(21/(-455)*-5) a composite number?
True
Suppose 0 = -4*l + l - c - 28, -2*l - c = 18. Is 993/5 - 4/l composite?
False
Suppose -12*c + 8*c = -28. Let p(o) = 6*o**2 - 4*o + 6. Let k be p(c). Suppose 134 = 2*y - k. Is y prime?
False
Let w(m) = 25*m**2 + 55*m - 601. Is w(21) composite?
False
Let a be -31 + -5 + 4 + -3. Let t = 90 + a. Is t a prime number?
False
Suppose 5*a - 36988 = 28*u - 27*u, a + 2*u - 7391 = 0. Is a a composite number?
True
Let r = -7331 + 16918. Is r prime?
True
Let a = -372 - -549. Is a composite?
True
Let s = 32 - -1. Let y = 42 + -31. Is 6/s + 2264/y prime?
False
Let d(j) = 2*j + 8. Let i be d(-6). Let z be 230*(-2)/i*-1. Let b = z - -824. Is b prime?
True
Let s(q) = 3445*q - 202. Is s(5) composite?
True
Let b(h) = h**3 - 2 + 53*h**2 - 60*h**2 + 7*h - h + 5. Let c be b(6). Suppose 0 = 2*u + u - c*t - 255, -u = -4*t - 85. Is u composite?
True
Let o(r) be the first derivative of r**3/3 + 15*r**2/2 + 3*r - 3. Let y be o(-15). Is 3/((-42)/15 + y) composite?
True
Suppose -11 - 9 = -4*l, k = -3*l + 17. Is (29 - 6/(-2)) + (-2)/k prime?
True
Suppose 5*r - 18448 = -3*w + 33490, -17311 = -w - 2*r. Is w composite?
False
Let l be (-1)/4 + 0 + 1229/4. Let i(y) = -8*y**3 + 3*y**2 - y - 2. Let g be i(2). Let o = l + g. Is o a prime number?
True
Suppose -f - 3*f = 8. Let x(j) be the first derivative of 32*j**3/3 + 3*j**2/2 + 5*j - 10. Is x(f) composite?
False
Let c(q) = 17*q - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
n when two letters picked without replacement from nnnnnnn.
1
Three letters picked without replacement from ooioaoaiao. Give prob of picking 3 o.
1/12
Four letters picked without replacement from {x: 2, s: 6, b: 2, h: 1, f: 1}. Give prob of picking 2 s and 2 x.
1/33
What is prob of picking 1 y and 1 b when two letters picked without replacement from {b: 6, y: 5, l: 1, r: 5}?
15/68
Calculate prob of picking 2 s and 2 o when four letters picked without replacement from ssosoosssossosoosss.
231/646
Three letters picked without replacement from gggggggkggggggggggkg. What is prob of picking 3 g?
68/95
Two letters picked without replacement from {k: 6, d: 1, e: 4, x: 5}. Give prob of picking 1 x and 1 e.
1/6
Three letters picked without replacement from {a: 14, k: 5}. Give prob of picking 2 a and 1 k.
455/969
Three letters picked without replacement from {k: 2, d: 3, u: 3, w: 7, z: 1, j: 2}. Give prob of picking 3 u.
1/816
Calculate prob of picking 2 q and 2 k when four letters picked without replacement from {k: 2, q: 6}.
3/14
Calculate prob of picking 1 a, 1 w, and 2 y when four letters picked without replacement from wyyfaiywwyzy.
2/33
Calculate prob of picking 3 w and 1 p when four letters picked without replacement from ppwwwwpppppppppwpp.
13/306
Three letters picked without replacement from {v: 7, i: 3, j: 7, d: 3}. Give prob of picking 2 d and 1 i.
3/380
Four letters picked without replacement from mkmkmkkk. What is prob of picking 4 k?
1/14
Three letters picked without replacement from {x: 5, w: 5}. Give prob of picking 3 w.
1/12
Calculate prob of picking 3 o and 1 s when four letters picked without replacement from {e: 1, o: 3, s: 1, t: 2}.
1/35
Three letters picked without replacement from {w: 3, l: 2, g: 1, s: 3, h: 1, i: 1}. What is prob of picking 2 l and 1 s?
1/55
What is prob of picking 1 d and 1 n when two letters picked without replacement from qqnnddncqcctt?
1/13
Three letters picked without replacement from {l: 5, r: 3}. What is prob of picking 3 r?
1/56
What is prob of picking 1 x and 1 f when two letters picked without replacement from {u: 2, f: 2, x: 2, t: 3, j: 1, z: 2}?
2/33
Three letters picked without replacement from cbcycbcybbbbbchbcb. What is prob of picking 2 b and 1 h?
3/68
Three letters picked without replacement from {o: 5, h: 7}. What is prob of picking 1 o and 2 h?
21/44
Four letters picked without replacement from {f: 2, t: 10, w: 6}. Give prob of picking 4 w.
1/204
Two letters picked without replacement from mqvvuqnz. Give prob of picking 1 u and 1 q.
1/14
Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {j: 2, r: 1, o: 1, t: 5, n: 3}.
5/22
What is prob of picking 2 t when two letters picked without replacement from ccctxxccctxc?
1/66
Calculate prob of picking 1 w, 1 q, and 1 t when three letters picked without replacement from {q: 3, p: 2, m: 1, t: 3, i: 2, w: 1}.
9/220
Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {y: 1, m: 1, k: 1}.
1/3
Three letters picked without replacement from dzwzwwgwwdwz. What is prob of picking 3 w?
1/11
Three letters picked without replacement from lllllllx. What is prob of picking 3 l?
5/8
Four letters picked without replacement from {m: 2, u: 5, a: 5}. What is prob of picking 1 u and 3 a?
10/99
Four letters picked without replacement from {h: 6, u: 2, w: 1, i: 3}. What is prob of picking 2 h and 2 u?
1/33
Three letters picked without replacement from tzzccyzzzzezcyceye. Give prob of picking 2 c and 1 e.
3/136
Three letters picked without replacement from hhhhh. Give prob of picking 3 h.
1
Two letters picked without replacement from ppppappppppp. Give prob of picking 1 p and 1 a.
1/6
Calculate prob of picking 3 s and 1 g when four letters picked without replacement from {s: 4, g: 8, z: 4}.
8/455
Four letters picked without replacement from {r: 10, o: 3, v: 1, m: 5, b: 1}. What is prob of picking 1 m, 2 r, and 1 o?
45/323
What is prob of picking 1 s and 1 l when two letters picked without replacement from ysdoyysoolyy?
1/33
Two letters picked without replacement from xxdc. What is prob of picking 2 x?
1/6
Two letters picked without replacement from {p: 1, z: 1, l: 3, h: 4, q: 1, i: 2}. What is prob of picking 2 p?
0
Three letters picked without replacement from rgrgg. Give prob of picking 2 g and 1 r.
3/5
Two letters picked without replacement from yjyreeejeeryeyejee. Give prob of picking 2 j.
1/51
What is prob of picking 2 l when two letters picked without replacement from {l: 7, u: 5}?
7/22
What is prob of picking 1 s and 1 y when two letters picked without replacement from {s: 2, y: 10}?
10/33
Three letters picked without replacement from iiivnnnnvpgnpginn. Give prob of picking 1 p, 1 i, and 1 g.
2/85
Four letters picked without replacement from sssjjjjjsssujojuso. Give prob of picking 4 s.
7/612
Calculate prob of picking 2 s and 1 k when three letters picked without replacement from {s: 13, k: 3, z: 3}.
78/323
Three letters picked without replacement from {e: 4, k: 2, n: 1, p: 1}. What is prob of picking 2 k and 1 p?
1/56
Three letters picked without replacement from qqqq. Give prob of picking 3 q.
1
Calculate prob of picking 2 k and 2 w when four letters picked without replacement from {h: 4, b: 1, w: 3, k: 2}.
1/70
What is prob of picking 4 q when four letters picked without replacement from {g: 4, t: 8, q: 4}?
1/1820
Calculate prob of picking 1 g and 1 b when two letters picked without replacement from xbgbqbgbbxqbnxq.
4/35
What is prob of picking 2 k and 1 g when three letters picked without replacement from {d: 1, t: 6, c: 2, g: 1, o: 7, k: 2}?
1/969
Calculate prob of picking 1 q and 1 f when two letters picked without replacement from {q: 1, b: 6, f: 1, i: 1, d: 5}.
1/91
Four letters picked without replacement from vkmiaavkaa. Give prob of picking 2 i and 2 a.
0
Calculate prob of picking 1 w and 2 c when three letters picked without replacement from {h: 2, q: 1, t: 2, w: 7, r: 2, c: 1}.
0
Four letters picked without replacement from {q: 3, n: 1, s: 11}. Give prob of picking 2 q and 2 s.
11/91
What is prob of picking 3 x and 1 s when four letters picked without replacement from {x: 5, s: 7, v: 1}?
14/143
What is prob of picking 3 h when three letters picked without replacement from {h: 9, q: 2, n: 8}?
28/323
Calculate prob of picking 2 s and 1 t when three letters picked without replacement from ttsslsstststtsssst.
105/272
Two letters picked without replacement from {z: 1, l: 2, u: 1, b: 1}. What is prob of picking 1 u and 1 z?
1/10
Two letters picked without replacement from {x: 2, u: 2, a: 4, j: 1}. What is prob of picking 1 a and 1 j?
1/9
Two letters picked without replacement from zzookpzzklzzzk. Give prob of picking 1 o and 1 k.
6/91
Three letters picked without replacement from zxggdggddxxdeeggzegz. What is prob of picking 2 d and 1 e?
3/190
What is prob of picking 1 l and 1 g when two letters picked without replacement from glvgggzxlvvz?
4/33
Calculate prob of picking 1 f and 1 y when two letters picked without replacement from byfbbybby.
1/12
Three letters picked without replacement from qqjvsjuqjsuj. Give prob of picking 1 q and 2 u.
3/220
What is prob of picking 1 h, 2 m, and 1 p when four letters picked without replacement from {t: 1, h: 5, p: 8, m: 2, c: 3}?
10/969
Three letters picked without replacement from nasyvca. Give prob of picking 1 c, 1 s, and 1 v.
1/35
Calculate prob of picking 1 i and 3 x when four letters picked without replacement from {x: 7, u: 5, i: 1}.
7/143
What is prob of picking 1 i and 1 z when two letters picked without replacement from ttvlzdi?
1/21
Three letters picked without replacement from {p: 1, e: 1, a: 4, t: 4, h: 1, b: 3}. Give prob of picking 2 t and 1 h.
3/182
Two letters picked without replacement from {w: 2, k: 2, h: 6, v: 3, s: 2}. Give prob of picking 1 w and 1 v.
2/35
What is prob of picking 1 c and 1 x when two letters picked without replacement from xcwvwv?
1/15
Four letters picked without replacement from {t: 4, d: 2, x: 1}. What is prob of picking 4 t?
1/35
Three letters picked without replacement from bpuzxixpbxxzuxzbuuzb. What is prob of picking 2 z and 1 p?
1/95
Calculate prob of picking 2 z when two letters picked without replacement f
|
{
"pile_set_name": "DM Mathematics"
}
|
30 = -80. Solve -9*d + y = -23 for d.
5
Let r(y) be the second derivative of 7/6*y**3 + 1/12*y**4 + 6*y + 0 + 2*y**2. Let i be r(-7). Solve -k = -3 + i for k.
-1
Let c be (-11 + -1)*(-6)/8. Suppose 5*u + 2*l - 3 = 0, 5*l + 41 = -2*u + 17. Solve u*g - c = -0*g for g.
3
Suppose 4*p - 2*p + 54 = 0. Let z be (p/(-6))/(1/(-2)). Let o = 9 + z. Solve -c = -o*c + 5 for c.
-5
Suppose -2*z - 15 = -6*z + 5*y, 4*y = 4. Suppose 0 = -4*t - n + 35, 5*t = 5*n + 45 + z. Suppose -2*l - t = -19. Solve 0 = l*v - 0*v for v.
0
Suppose 45*b = 1177 + 398. Solve 36*y = 29*y + b for y.
5
Let w = -64 - -84. Suppose 5*h - w + 0 = 0. Solve -h*x = -x for x.
0
Suppose 38*i = 106 + 312. Solve -14 = k - i for k.
-3
Let v(n) = n**3 - 10*n**2 + 9*n + 4. Let m be v(9). Suppose 0 = 2*c - m. Suppose -p - c*w + w + 2 = 0, -w + 2 = 2*p. Solve -y - y - 2 = p for y.
-1
Suppose -4*o + v + 50 = 0, -o = -6*v - 14 - 10. Solve -o*f = -22 - 38 for f.
5
Let x be -4*8/3*(-18)/12. Solve 0 = x*i - 11*i for i.
0
Suppose 3*i - 3*t = 78, -23 = -i + 3*t + 13. Solve 0 = i*w - 16*w + 10 for w.
-2
Suppose 0*p + 3*s - 18 = -3*p, 0 = -2*p - 3*s + 15. Suppose -2 = -2*i + i. Suppose 3*z = z + i*o, z = -p*o + 4. Solve -z - 2 = -l for l.
3
Let r(s) = -5*s - 3. Let o be r(3). Let l = -18 - o. Solve 0 = -l*j - j - 2 for j.
-2
Let d(v) = v**3 + 5*v**2 - v - 1. Let c be d(-5). Solve -2*z + 6 - c = 0 for z.
1
Suppose 3*w + 2*w - 25 = 0. Let x be w/(-20) - 18/(-8). Let v(g) = -12*g - 108. Let n be v(-9). Solve x*u - 10 = -n*u for u.
5
Let g be (-25)/5 + (-2 - -2). Let n = g + 10. Solve -3*c - 4 = n for c.
-3
Suppose 6 = 5*z - 14. Let q(w) = -24*w**2 - 169*w + 8. Let t be q(-7). Solve -z*u + u = -t for u.
5
Suppose 6 = -3*s - 0*s, 58 = 2*b + 4*s. Let i = b + -30. Solve 5*d - 28 = -i for d.
5
Suppose -8*c + 11*c - 9 = 0. Suppose 2*t + 5 = 3*t. Solve -4*w - c = t for w.
-2
Let k(b) = 2*b**3 + 9*b**2 - 13*b + 1. Let w be k(2). Suppose 0 = 23*d - w*d. Solve d*l = 2*l + 6 for l.
-3
Let l(s) = -s**3 - 8*s**2 - 11*s - 3. Let k be l(-3). Let b be (-6)/(-45)*3 - 219/k. Solve 0*n - 5*n + b = 0 for n.
3
Let n be -3 - 24/(-20)*(-100)/(-15). Solve -5*o + 4*o = n for o.
-5
Let h be ((-10)/4)/((-60)/48). Suppose -h*z + 5 = -z. Solve -z*r + 1 = 6 for r.
-1
Suppose 10 = -5*i, 3*i = 5*p - 121 - 55. Solve 10 = 8*d + p for d.
-3
Suppose 0 = -3*g - 5*f + 9, -2 = g - 3*f - 5. Let x be (-3)/(-4) + (-35)/(-28). Let d be (7 - 4) + 0 + x. Solve -d*i + g = 23 for i.
-4
Let l be 3010/40 + 1/(-4). Suppose 3*j - 29 + 98 = 2*n, 2*n = 5*j + l. Let r be n - -2*(-4)/(-8). Solve 6 - r = -5*t for t.
5
Let f be (-18)/(-15)*(-805)/(-46). Solve 10*u - 1 = -f for u.
-2
Suppose -t - 6*t - 133 = 0. Let v = t + 31. Solve 3*i = v - 0 for i.
4
Let q be (6/9)/((-8)/276). Let h = -16 - q. Suppose 0 = -3*i + h + 14. Solve 4*t - i = 9 for t.
4
Let c(b) = -b**3 - 8*b**2 - 7*b + 3. Let d be c(-7). Let r = 0 + d. Solve -r*n + 6 = 18 for n.
-4
Suppose -22*k + 26*k = 76. Suppose 3*o - k = 4*y + 20, 5*o - 3*y = 65. Let q be 7/4 - 2/(-8). Solve 3*s = -q - o for s.
-5
Let h = -13 - -43. Let j = -21 + h. Let z(c) = c**3 + 3*c**2 - c + 2. Let g be z(-3). Solve g*b - j = 16 for b.
5
Let h = 4 - -52. Suppose -2*g + 38 = -2*c + g, -4*c - h = -g. Let w = 17 + c. Solve -t = -w*t + 9 for t.
3
Suppose -4*a + 4 = -4*g, -4*g + a + 4 + 1 = 0. Suppose 15 = -5*m - 5*s, 3*m + 2*s = -5 - 2. Let u be (m/g)/(4/(-48)). Solve -3*t + u = -3 for t.
3
Suppose 3*x - 22 = -2*o, -2*x - o - 3*o + 28 = 0. Suppose 5*s = 3*v - 1 + 17, 4*v + 8 = x*s. Suppose -6 = -4*f + v*j + 3, -5*j = -5. Solve 2*y - y = -f for y.
-3
Let x(a) = a**3 + 8*a**2 + 8*a + 5. Let y be x(-7). Let t(u) = 2*u**2 + 3*u + 1. Let b be t(y). Solve 0 = -b*o + o + 10 for o.
5
Let r(o) = -4 - 21 + 6 - 13 + 5*o. Let p be r(7). Solve -10 = -2*m - p*m for m.
2
Let q(b) = -b**3 + 2*b**2 + 4*b. Let f be q(3). Suppose 42 = 193*z - 192*z. Suppose -m = -2*a + 25, -z = -3*a + 3*m + f. Solve 0 - a = 2*j for j.
-5
Let v be (-2)/1 + 1*5. Suppose -2*k - 5*c = -v*k + 12, 2*k + c = 2. Suppose 2*b = 2*x + 6, -2*x - 2*b + 12 = -x. Solve -x*m = k*m - 16 for m.
4
Let r = 3 + -4. Let j be 0/(r/((-3)/3)). Suppose -c + 5*b = j, -4*b + 2*b = 2*c - 24. Solve -o = -6*o - c for o.
-2
Suppose h - 2*o - 1 = 47, -h = -4*o - 40. Let g = -40 + h. Suppose -5*d + g + 4 = 0. Solve -6 = 2*l + d for l.
-5
Let a be (-360)/(-144)*36/5. Solve -14*h - 12 = -a*h for h.
3
Let j be 194/12 + 9/(-54). Let g = 1 - -3. Solve 0 = -g*t - j - 0 for t.
-4
Let s be (-13)/((-16)/(-12) + -1). Let h = -59 - s. Let a be 84/(-24)*h/7. Solve -t + a = t for t.
5
Suppose -10*n + 11*n - 21 = 0. Let s be (-58)/(-7) + (-6)/n. Solve 5*c - 7 = s for c.
3
Let x(c) = -c + 1. Let j be x(-5). Let a be 2*(-1 + 0) + j. Let q(n) = -2*n**3 + 17*n**2 + 12*n - 21. Let m be q(9). Solve m*w = 2*w - a for w.
-1
Let y(c) = c**2 + c + 1. Let g(w) = -3*w**3 - 5*w**2 - 6*w - 7. Let s(r) = g(r) + 5*y(r). Let d be s(-1). Solve j = d*j for j.
0
Suppose 288 = -5*v - z, -4*z + 240 = -v - 3*v. Let k = v + 68. Solve 10*c - 5*c = -k for c.
-2
Suppose x - 4*r + 16 = 1, 12 = 3*r. Suppose 5*u + x + 9 = i, 0 = 2*i + 2*u + 4. Solve i = -n + 3 - 0 for n.
3
Let x be (-11)/3 - (-3)/(-9). Let t(u) = -u**2 - 5*u - 2. Let i be t(x). Solve f + i = -2 for f.
-4
Let u(k) = -k**3 + 18*k**2 - 54*k + 140. Let l be u(15). Solve -l*q + 3 = 28 for q.
-5
Let o be (-3 + 0)*(-3 + 2). Suppose 4*z - 3*j + 33 = -6*j, o*z + 61 = 5*j. Let h = 14 + z. Solve -h*g = -0*g for g.
0
Suppose 2*c = 4*i - 12, -3*c + 4*c + i = 3. Suppose 0 = -3*g - 4*m - 3 - 13, -2*g - 3*m - 10 = c. Let a = 13 + g. Solve 0 = -d - 0*d + a for d.
5
Let r be (-4)/(-2 + 0) - (20 + -20). Let n be 1/((-1)/(-13) + 0). Suppose -5*l - 2*m = -l - 58, n = l + m. Solve r*f + 2*f + l = 0 for f.
-4
Suppose 80 = 5*o + 5*o. Solve -o*h - 5 = -7*h for h.
-5
Suppose -5*w = 1 + 4. Let d(g) = -g**3 - 1. Let j be d(w). Suppose -2*t - 2 = v - j*t, 4*v - 2 = -3*t. Solve -v*k + 6 + 0 = 0 for k.
3
Suppose b - 4*j = 3 + 4, 13 = -b - j. Let u(m) = m**2 + 9*m + 4. Let a be u(b). Suppose -a*n + 11 = -5. Solve -2*i + 6*i = n for i.
1
Suppose -27*p + 758 = -187. Solve 0 = -p*u + 22*u + 52 for u.
4
Let a be (-154)/(-8) + (-126)/(-168). Solve -4*i - a = i for i.
-4
Let b(q) be the first derivative of -q**2/2 - 16*q - 10. Let x be b(-17). Solve -u = 3 - x for u.
-2
Let a be 5 + (3 - 6) - (3 - 5). Solve -b - 12 = -a*b for b.
4
Let q(w) = -w**3 + 4*w**2 + 34*w - 10. Let u be q(8). Solve -u = 11*t - 14*t for t.
2
Let h be ((-644)/(-69))/(4/6). Solve h*i = 10*i + 8 for i.
2
Suppose 0 = -9*m - 606 + 246. Let q be m/(-60) - (-1)/((-6)/(-8)). Solve 3*w - 20 = -q*w for w.
4
Suppose 5 = -2*q - w, 0 = -4*w - 29 + 9. Suppose -4*b + 14 = 2. Suppose q*y - 6 = -b*y. Solve -y*x = 2*x + 16 for x.
-4
Let w(n) = n**3 + 3*n**2 + 2*n + 3. Suppose 5*y + 25 = 3*g, -2*g = -y - y - 14. Let a be w(y). Solve -3 = 3*i + a for i.
-2
Let z = 1317 - 1284. Solve 6 = -13*h - z for h.
-3
Suppose -a + 2*a = 12. Let x be ((-1)/3)/((-2)/a). Suppose -3*t = 2*k - 10, 2*t + x*t = -2*k + 14. Solve t*f - 6 = 6 for f.
3
Let x(f) be the first derivative of f**2/2 + 11*f + 1. Let i be x(-6). Let c(v) = v**3 + 14*v**2 + 20. Let h be c(-14). Solve 0*y + i*y = -h for y.
-4
Let o(u) = -u - 4. Let t be o(-6). Let k be (-105)/(-24) - (-15)/(-40). Suppose r - 4*n + 5 = 0, k*n - 3*n = -5*r + 17. Solve -r*b = -b - t for b.
1
Suppose 2*h + 2*h = -4*n - 8, -3*h = -n + 6. Let r be (-1)/(-2)*((-16)/(-2) - n). Solve -r*f - 2 = -14 for f.
3
Let x be 2 + (4 - (3 + -2)). Suppose -x*v + 24 = -2*v. Solve -v = -i + 5*i for i.
-2
Let s(a) = -a**2 + 3*a - 2. Let g be s(3). Let x = 4 + g. Suppose 6*r - 7*r = -x. Solve 0 = r*h - 1 + 9 for h.
-4
Suppose z - 19 = -j, -3*z + 4*z - 43 = 5*j. Suppose 4*c + 3 = z. Suppose 23 = p + c*n, -16 = 2*n - 6*n. Solve -5*v - 2 = p for v.
-1
Let f = -344 - -346. Solve 15 = -l - f*l for l.
-5
Suppose 5*x - 2*y = -5*y + 2, -x - 2*y - 1 = 0. Let r = 1 + x. Let m(s) = s**3 + 7*s**2 + 5*s - 3. Let k be m(-6). Solve -r*p + 15 = k*p for p.
3
Let b(h) = -h**2 - 25*h + 28. Let n be b(-26). Solve 6*q - 4*q = -n for q.
-1
Let r = 100 + -93. Suppose -10*x + r*x = -9. Solve 0*w = -x*w for w.
0
Suppose -124 = 3*i - 25. Let g = -13 - i. Suppose -6*r = -r - g. Solve r*s + s = 0 for s.
0
Suppose 0 = -5*a - 4 - 1, -2*a + 28 = 5*v. Suppose -8*k = -v*k. Sol
|
{
"pile_set_name": "DM Mathematics"
}
|
True
Suppose 92 = 3*n - 2*n. Is 4 a factor of n?
True
Suppose -1064 = -3*z - 98. Suppose 3*t - 3*p = 11 + z, 0 = 2*t + p - 228. Is t a multiple of 34?
False
Let q(f) = -f**2 - 8*f - 16. Let u = 9 + -20. Let o be q(u). Let j = -22 - o. Is 9 a factor of j?
True
Let h be 13 - 4/(12/9). Let o = h + 10. Let l = 82 - o. Does 31 divide l?
True
Let b(v) = 41*v**2 + 2*v - 1. Is b(1) a multiple of 14?
True
Suppose -17*b = -6393 - 220. Is b a multiple of 32?
False
Suppose 6*v = 22*v - 9488. Does 35 divide v?
False
Suppose 0*x + 5*d + 10 = -2*x, 0 = -3*x - 2*d - 26. Let c = 37 - x. Is 7 a factor of c?
False
Suppose 3*o - 152 = -5*d, 0 = 2*o - 7*d + 3*d - 116. Let t(s) = -s**2 + 147. Let q be t(0). Suppose 2*i + o = 3*i - 5*p, 2*i + 3*p = q. Does 28 divide i?
False
Let x(n) = 3*n - 194. Let z be x(20). Let h be -54 + 2 + 1*-3. Let v = h - z. Is 16 a factor of v?
False
Let q = 104 - 100. Let g be (1 + 22/(-10))*-120. Suppose q*l = l + g. Is 15 a factor of l?
False
Suppose -1389 + 17979 = 15*t. Suppose 8*b + 114 = t. Is b a multiple of 13?
False
Let z(v) = 3*v**2 + 17*v - 17. Let p be z(7). Is p - (0 + 3 + -1) - -1 a multiple of 28?
False
Suppose -400 = -7*c + 111. Is 6 a factor of c?
False
Suppose -3*x + 53*b = 58*b - 13, 2*b = 5*x - 63. Is x a multiple of 5?
False
Let j be 0 + -3 - (-96 + -4). Does 13 divide -2*1 + j + -17?
True
Let n(x) = x**3 + 5*x**2 - 15. Let l be n(-4). Is l + -3 - (-442)/1 a multiple of 43?
False
Suppose 20*y - 17*y = 3*p - 1515, 2*p + 5*y - 1003 = 0. Is p a multiple of 84?
True
Let l = 44 - 42. Suppose -p - 2*k + 190 = 3*p, -4*p + l*k = -210. Is p a multiple of 11?
False
Suppose 694 = 3*b - h - 0*h, -2*b + 456 = h. Let z = 188 - 184. Suppose z*n - b = -n. Is 13 a factor of n?
False
Is (8/(-18))/((-13)/(-78))*-576 a multiple of 16?
True
Suppose 7*l - 900 = -200. Does 6 divide l?
False
Let o = 7 + 261. Suppose 0 = 3*f - 5*c - 233, 0 = 5*f - f + 4*c - o. Is f a multiple of 7?
False
Suppose 2*l = 5*b - 4*b + 32, -2*b = -3*l + 49. Is 6 a factor of l?
False
Let o = 265 - 209. Does 14 divide o?
True
Suppose 2*h - 8 = 4*j, -4*j - 5*h = -3*h - 8. Suppose 4*q = 3*o - 1, 4*o + 0*o - 5*q - 2 = j. Is o even?
False
Suppose 0 = -4*i - 6*i + 1650. Suppose i = -w + 193. Is w a multiple of 14?
True
Let w(d) = 2*d**2 + 24*d - 22. Let t be w(17). Suppose 5*v - t + 59 = k, -700 = -4*v - 4*k. Is v a multiple of 36?
True
Let o(z) = z - 1. Let i(m) = 5*m + 7. Let x(k) = i(k) - 4*o(k). Is x(0) even?
False
Suppose 0*n = n + 4. Let h(x) be the first derivative of -x**4/4 - 2*x**3/3 + 5*x**2/2 - 2*x - 27. Is 6 a factor of h(n)?
False
Suppose -2*t - r + 973 = 0, -4*t + 457 + 1483 = 4*r. Does 5 divide t?
False
Is 65 a factor of ((-38)/(-4))/(1 + (-744)/752)?
False
Suppose -2*t + 125*d - 124*d = -7915, 0 = -2*t + 5*d + 7927. Does 86 divide t?
True
Suppose 0 = 99*t + 163842 - 439854. Is 17 a factor of t?
True
Let d(a) = -4*a**3 - 10*a**2 + 7*a + 41. Does 26 divide d(-7)?
False
Suppose 0 = 12*h - 18*h + 24. Suppose -2*g + 84 = h*g. Does 5 divide g?
False
Let p = 31 + -33. Is 22 a factor of ((-1)/p)/(((-2)/(-288))/1)?
False
Suppose 0 = -3*c + c - 8, -5*b + c = -1399. Does 31 divide b?
True
Suppose 4*j = 207 + 197. Suppose a = -p - 2*p + j, -4*p - 4*a = -148. Is 6 a factor of p?
False
Let b = -32 + 36. Suppose b*w - 142 - 626 = 2*g, 4*g + 206 = w. Does 34 divide w?
False
Let f = -1 - -2. Let b(w) = -50*w + 3. Let x(k) = -51*k + 2. Let p(v) = 3*b(v) - 4*x(v). Does 22 divide p(f)?
False
Suppose -4941 = -22*p - 1795. Does 11 divide p?
True
Let q(z) = -24*z - 49. Is 18 a factor of q(-7)?
False
Let d be ((-2)/(-6))/(1/(-6)). Let z = d + 5. Suppose 0 = z*m - m - 102. Is 13 a factor of m?
False
Suppose -z + 6 = -1. Let c(x) = x + 9. Is c(z) a multiple of 8?
True
Suppose 9*m + 427 - 1606 = 0. Suppose 4*q - 489 = m. Is 19 a factor of q?
False
Suppose -5*r = -0*r. Suppose r = g + 3*g - 24. Suppose 0 = 5*t - 2*u + g - 76, 0 = 2*t + u - 19. Does 10 divide t?
False
Let w(k) = k**2 - k - 1. Let y be w(-2). Suppose -66 = 8*v - y*v. Let g = v + 34. Is 3 a factor of g?
True
Suppose 0 = 4*y + 3*u - 483 - 21, -3*y - 5*u + 378 = 0. Is 5 a factor of y?
False
Let b be -24*((-8)/3)/(-4). Let l = 32 + b. Let i = -6 + l. Is 4 a factor of i?
False
Let k = 1606 - 778. Is k a multiple of 43?
False
Suppose -2*o - 780 = -17*o. Is o a multiple of 52?
True
Let u(a) = -4*a**3 + a**2 + a - 1. Let t be 2/(5*(-8)/(-20)). Let r be u(t). Does 2 divide r + 8*6/4?
False
Does 16 divide 232 + (2 - (-8)/(-2))?
False
Let m(u) = 11*u - 39. Suppose s + s + y = 31, -5*s - 2*y = -77. Is m(s) a multiple of 7?
True
Let r(h) = 3*h**2 - 5*h + 15. Let l be r(-6). Suppose -70 = -q + 5*s + l, 2*q = 2*s + 430. Is 26 a factor of q?
False
Is (-5)/((-5)/184) + -4 a multiple of 30?
True
Let o be 7/2*(-3 - -1). Let k be o/14 + 26/4. Suppose 5*m = -2*b + 118, 2*b - 70 = 3*m - k*m. Does 9 divide m?
False
Let s = 607 - 336. Is 10 a factor of s?
False
Let s(i) = i**2 + 2*i + 11. Does 7 divide s(-6)?
True
Let t be (-6)/(-18)*(-57)/1. Let x = -7 - t. Does 6 divide x?
True
Let z = 19 - 17. Suppose 0 = p + z*p - 120. Is 16 a factor of p?
False
Suppose 916*j = 922*j - 1512. Is j a multiple of 12?
True
Suppose -o = -6*o - o. Let g(h) = -h**2 + 2*h + 45. Is 22 a factor of g(o)?
False
Let h = -2650 + 2669. Does 19 divide h?
True
Suppose 6*u = 2*u + 16. Suppose -2*l = u*m - 5*l - 250, -m = -4*l - 56. Is m a multiple of 16?
True
Let u = 12 + -20. Let j = -4 - u. Suppose j*h = 75 - 27. Does 4 divide h?
True
Let x(q) = q + 1. Let a be x(7). Let t = a - -13. Does 3 divide t?
True
Does 11 divide ((-10752)/(-60))/((-4)/(-20))?
False
Let p(f) = 294*f + 26. Does 5 divide p(1)?
True
Let b = 158 + 110. Is 6 a factor of b?
False
Let y = 14 - 12. Suppose -y*b - 3*b = -10. Suppose b + 3 = 2*u + 3*l, 3*u = l + 35. Does 2 divide u?
True
Suppose -3*t = 0, -4*m + 41 = -2*t - 519. Is m a multiple of 70?
True
Is (-2*5/(-10))/((-1)/(-90)) a multiple of 11?
False
Suppose -73*j = -21*j - 33280. Is j a multiple of 9?
False
Suppose 3*g - v - 35 = 0, -7*v + 2*v = -5. Let s be (-3)/(4/g - 0). Let u(d) = -4*d - 5. Is u(s) a multiple of 13?
False
Suppose 0 = -2*w + 8, o - 4*o + 3*w = 6. Suppose -o*u = -u + 84. Is 7 a factor of (u/15)/(4/(-10))?
True
Let k(t) = t**3 - 4*t**2 - t + 7. Let i be k(4). Suppose d + i*d = -2*p + 202, -2*p = -10. Is 12 a factor of d?
True
Let y = 211 - 91. Let d = y - 103. Is 7 a factor of d?
False
Suppose 2*q + x = 14, 3*q = -0*q + 3*x + 3. Suppose -y = -q*s + 15, -5*y = -3*s - 6 + 191. Let v = 62 + y. Does 11 divide v?
True
Suppose -41*a + 45*a - 208 = 0. Let s(z) = z + 3. Let f be s(0). Suppose 2*w = 3*t + t - a, -f*w = -5*t + 67. Does 11 divide t?
True
Does 29 divide 1481/3 - (-14)/(-21)?
True
Let t be (-4 + 0)*(-35)/20. Suppose t*w - w = 534. Is 10 a factor of w?
False
Suppose 0 = -3*u + 2*l + 3, -4*l - 3 + 1 = -2*u. Let j be u - 2 - (-1)/(-1). Does 11 divide j/6 + 308/6?
False
Let d be (-39)/26*4/6. Let u(m) = -10*m**3 + 3*m**2 - 1. Let r be u(-2). Is d - r/(4/(-4)) a multiple of 30?
True
Suppose 6*u - 32 - 34 = 0. Suppose 3*t - 218 + 11 = 0. Let d = t - u. Is 29 a factor of d?
True
Let j(v) = 116*v + 8. Let b be j(-16). Let w be (1/(-3))/(14/b). Suppose -4*g + w = 2*f - 6*f, 3*f = 4*g - 42. Is 2 a factor of g?
False
Let i(a) = 59*a + 167. Does 25 divide i(6)?
False
Suppose 2683 = 4*b - w, -b + 2*w = -625 - 51. Is 16 a factor of b?
False
Let b(x) = -19*x + 70. Is 23 a factor of b(-6)?
True
Let k = 1121 + -671. Is k a multiple of 15?
True
Let x be (1 - 4)*(-10)/15. Suppose q - 4*b - x = 51, 0 = 3*q + 3*b - 99. Suppose -4*h + q = -63. Does 11 divide h?
False
Let t be (66/44)/(2*(-3)/(-244)). Let u = t - 53. Does 4 divide u?
True
Let o(p) be the third derivative of 13*p**4/12 + 7*p**3/3 + 7*p**2. Let i be o(5). Let u = 224 - i. Does 15 divide u?
False
Let f(i) = -i**3 - 5*i**2 - i - 5. Let w be f(-5). Suppose 2*j - 18 = -w*j. Suppose -j = -u + 6. Does 15 divide u?
True
Suppose 5*d - 3288 = j + 2449, 0 = 5*d - 5*j - 5745. Does 37 divide d?
True
Let h(a) = -24*a**2 - 4*a + 1. Let s be h(-3). Is 29 a factor of (s/(-35))/(1/25)?
True
Suppose -368 = -6*s - 10*s. Is s a multiple of 23?
True
Suppose 0*n = -2*n - 710. Let l = -1018 - n. Is 11 a factor of l/(-15) - (-1)/(-5)?
True
Let i be (-3)/(-18) - (2 - (-563)/(-6)). Let d = i + -72. Is d
|
{
"pile_set_name": "DM Mathematics"
}
|
ert -10201 (base 3) to base 6.
-244
What is 31 (base 5) in base 9?
17
b (base 12) to base 13
b
What is -21102 (base 3) in base 12?
-148
Convert -11001 (base 2) to base 13.
-1c
What is -156 (base 7) in base 12?
-76
What is 120 (base 4) in base 11?
22
Convert 42 (base 8) to base 4.
202
Convert -11010 (base 2) to base 3.
-222
What is 24 (base 9) in base 2?
10110
What is 110 (base 3) in base 6?
20
Convert 12 (base 5) to base 13.
7
Convert -25 (base 9) to base 11.
-21
Convert -105 (base 11) to base 13.
-99
Convert 1 (base 12) to base 15.
1
What is 15 (base 6) in base 4?
23
Convert -e (base 16) to base 8.
-16
What is -12 (base 6) in base 12?
-8
2b (base 15) to base 2
101001
What is -15 (base 6) in base 7?
-14
7 (base 14) to base 9
7
6 (base 12) to base 9
6
Convert -1 (base 6) to base 7.
-1
6 (base 11) to base 14
6
What is -13 (base 5) in base 10?
-8
Convert 4 (base 5) to base 3.
11
What is -9 (base 13) in base 8?
-11
What is 101 (base 2) in base 4?
11
Convert 0 (base 16) to base 5.
0
Convert -7 (base 12) to base 13.
-7
Convert 10 (base 5) to base 4.
11
45 (base 11) to base 5
144
-29 (base 14) to base 16
-25
7 (base 15) to base 9
7
0 (base 5) to base 3
0
Convert -10 (base 2) to base 16.
-2
What is 1 (base 5) in base 14?
1
Convert -5 (base 13) to base 12.
-5
-424 (base 10) to base 8
-650
What is 41 (base 5) in base 3?
210
0 (base 3) to base 16
0
Convert c9 (base 15) to base 4.
2331
Convert 7 (base 15) to base 6.
11
22 (base 3) to base 2
1000
What is 4 (base 15) in base 14?
4
1000 (base 2) to base 5
13
-7 (base 15) to base 4
-13
2 (base 12) to base 9
2
Convert 10 (base 3) to base 4.
3
Convert 1 (base 2) to base 12.
1
What is 4c (base 16) in base 3?
2211
What is 6 (base 11) in base 13?
6
What is -14 (base 9) in base 8?
-15
-27 (base 9) to base 5
-100
Convert -34 (base 11) to base 6.
-101
What is 14 (base 10) in base 8?
16
What is -8 (base 13) in base 10?
-8
Convert -72 (base 16) to base 4.
-1302
Convert b (base 15) to base 2.
1011
Convert 21 (base 4) to base 14.
9
-11 (base 5) to base 8
-6
Convert 11 (base 5) to base 15.
6
-25 (base 6) to base 11
-16
4 (base 16) to base 9
4
Convert 12 (base 15) to base 10.
17
-32 (base 9) to base 8
-35
Convert 12 (base 11) to base 6.
21
What is 30 (base 4) in base 16?
c
Convert -ab (base 12) to base 16.
-83
Convert -4 (base 9) to base 10.
-4
Convert 1000100 (base 2) to base 4.
1010
154 (base 7) to base 4
1120
Convert -34 (base 14) to base 4.
-232
Convert 11001 (base 3) to base 13.
85
What is 0 (base 16) in base 12?
0
Convert -10 (base 16) to base 10.
-16
What is 5 (base 6) in base 12?
5
What is -3 (base 13) in base 15?
-3
Convert 152 (base 12) to base 6.
542
Convert 85 (base 13) to base 15.
74
What is 4 (base 13) in base 10?
4
Convert -13 (base 11) to base 4.
-32
-3 (base 4) to base 12
-3
-35 (base 15) to base 13
-3b
What is -12 (base 5) in base 12?
-7
What is 31 (base 12) in base 15?
27
What is 3 (base 15) in base 10?
3
Convert -71 (base 8) to base 15.
-3c
Convert -31 (base 8) to base 5.
-100
-209 (base 12) to base 15
-14c
564 (base 8) to base 14
1c8
Convert -404 (base 7) to base 9.
-242
Convert -54 (base 7) to base 14.
-2b
210 (base 8) to base 9
161
-111011 (base 2) to base 4
-323
What is -12 (base 12) in base 7?
-20
Convert f (base 16) to base 3.
120
Convert -1 (base 4) to base 13.
-1
-37 (base 10) to base 7
-52
What is 22 (base 14) in base 12?
26
Convert -67 (base 15) to base 8.
-141
-1c (base 16) to base 3
-1001
Convert 6 (base 12) to base 11.
6
Convert 6 (base 14) to base 15.
6
Convert 58 (base 11) to base 2.
111111
Convert 2 (base 9) to base 6.
2
What is 0 (base 16) in base 9?
0
Convert 49 (base 13) to base 8.
75
-5 (base 7) to base 3
-12
Convert 1a8 (base 11) to base 10.
239
What is 322 (base 4) in base 16?
3a
Convert 4 (base 11) to base 8.
4
-11 (base 11) to base 6
-20
Convert -10101 (base 2) to base 10.
-21
What is 0 (base 11) in base 16?
0
What is 1 (base 2) in base 3?
1
What is -10221 (base 3) in base 16?
-6a
-7 (base 15) to base 8
-7
1331 (base 5) to base 10
216
-237 (base 9) to base 6
-524
What is 2a (base 15) in base 16?
28
a5 (base 12) to base 2
1111101
What is 1 (base 14) in base 3?
1
Convert -50 (base 10) to base 8.
-62
-1 (base 13) to base 12
-1
Convert -24 (base 10) to base 14.
-1a
-33 (base 14) to base 7
-63
Convert 2 (base 13) to base 12.
2
What is -8 (base 15) in base 10?
-8
Convert -4 (base 7) to base 16.
-4
Convert 2 (base 14) to base 2.
10
Convert 111 (base 4) to base 11.
1a
31 (base 5) to base 15
11
Convert -1 (base 9) to base 5.
-1
Convert -4 (base 15) to base 3.
-11
What is -1 (base 14) in base 10?
-1
What is -10020 (base 3) in base 5?
-322
-1000 (base 4) to base 7
-121
Convert 32 (base 4) to base 9.
15
Convert 13 (base 7) to base 14.
a
Convert a (base 11) to base 14.
a
-40 (base 9) to base 2
-100100
-48 (base 15) to base 5
-233
What is 2 (base 16) in base 13?
2
Convert 11 (base 2) to base 10.
3
-2 (base 7) to base 10
-2
13 (base 6) to base 9
10
Convert -151 (base 6) to base 3.
-2111
Convert -2122 (base 3) to base 9.
-78
What is 6 (base 8) in base 10?
6
-1 (base 7) to base 5
-1
Convert -104 (base 7) to base 9.
-58
1 (base 2) to base 9
1
Convert -16 (base 7) to base 2.
-1101
Convert -1 (base 12) to base 9.
-1
What is -a (base 12) in base 9?
-11
Convert -64 (base 7) to base 6.
-114
Convert 416 (base 7) to base 16.
d1
Convert 7a (base 15) to base 9.
137
8 (base 13) to base 11
8
What is -1010 (base 2) in base 3?
-101
What is -4 (base 5) in base 2?
-100
10 (base 8) to base 13
8
What is 133 (base 16) in base 11?
25a
-42 (base 12) to base 15
-35
Convert -10 (base 9) to base 11.
-9
What is -13 (base 8) in base 14?
-b
16 (base 7) to base 3
111
Convert 89 (base 16) to base 8.
211
What is 10000011 (base 2) in base 13?
a1
Convert b6 (base 15) to base 7.
333
What is -343 (base 6) in base 12?
-b3
What is -135 (base 9) in base 5?
-423
Convert 5 (base 8) to base 6.
5
What is -21 (base 16) in base 2?
-100001
Convert -2 (base 9) to base 14.
-2
What is -63 (base 14) in base 4?
-1113
What is 25 (base 15) in base 2?
100011
What is 11 (base 8) in base 12?
9
Convert 15 (base 6) to base 11.
10
What is 114 (base 6) in base 4?
232
What is 1 (base 11) in base 16?
1
1 (base 6) to base 15
1
-11 (base 2) to base 3
-10
11101 (base 2) to base 12
25
What is 142 (base 5) in base 4?
233
Convert 56 (base 16) to base 4.
1112
36 (base 16) to base 7
105
What is -46 (base 8) in base 6?
-102
What is -5 (base 13) in base 3?
-12
-45 (base 15) to base 4
-1001
-192 (base 15) to base 11
-2aa
3 (base 7) to base 15
3
What is 120 (base 3) in base 6?
23
Convert 5 (base 8) to base 13.
5
Convert 24 (base 9) to base 10.
22
What is 2222 (base 3) in base 9?
88
320 (base 4) to base 5
211
-47 (base 15) to base 10
-67
Convert 1 (base 2) to base 15.
1
What is -32 (base 16) in base 12?
-42
9 (base 10) to base 3
100
What is -22 (base 4) in base 11?
-a
3 (base 10) to base 15
3
1e (base 16) to base 3
1010
-7 (base 10) to base 7
-10
What is 1c (base 15) in base 7?
36
Convert 110 (base 5) to base 16.
1e
10 (base 5) to base 12
5
Convert -3 (base 14) to base 15.
-3
What is -250 (base 7) in base 8?
-205
Convert 3 (base 7) to base 12.
3
Convert -223 (base 11) to base 12.
-1a3
Convert -4 (base 9) to base 16.
-4
What is -6 (base 7) in base 2?
-110
Convert -3 (base 13) to base 12.
-3
Convert -101022 (base 3) to base 4.
-10112
What is 120 (base 3) in base 13?
12
Convert 5 (base 7) to base 13.
5
Convert 37 (base 10) to base 12.
31
What is -1 (base 13) in base 7?
-1
33 (base 11) to base 13
2a
What is 5 (base 7) in base 10?
5
What is -504 (base 7) in base 3?
-100020
Convert -21 (base 15) to base 2.
-11111
What is -1 (base 6) in base 15?
-1
What is -3 (base 8) in base 13?
-3
Convert -9 (base 15) to base 2.
-1001
15 (base 6) to base 5
21
-21 (base 16) to base 9
-36
Convert -11 (base 6) to base 3.
-21
Convert -230 (base 4) to base 13.
-35
What is -3 (base 15) in base 8?
-3
-cc (base 16) to base 5
-1304
26 (base 13) to base 2
100000
What is -1 (base 3) in base 13?
-1
Convert -b (base 16) to base 15.
-b
What is 31 (base 7) in base 6?
34
What is 42 (base 8) in base 12?
2a
What is 1303 (base 4) in base 8?
163
What is -2222 (base 3) in base 7?
-143
103 (base 6) to base 5
124
-34 (base 14) to base 7
-64
What is -4 (base 15) in base 7?
-4
Convert 3 (base 10) to base 6.
3
|
{
"pile_set_name": "DM Mathematics"
}
|
Let w(h) = 25*h + 6. Give w(0).
6
Let p(f) = 3*f - 11. Calculate p(2).
-5
Let x(j) = -j**2 - 64*j - 352. What is x(-58)?
-4
Let s(m) = -2*m**3 + 3*m**2 + 4*m - 1. What is s(3)?
-16
Let t(o) = o**2 + 11*o - 22. Determine t(2).
4
Let h(b) = -6*b**2 - b. Determine h(-1).
-5
Let t(a) = -12*a - 39. Give t(-3).
-3
Let x(l) = -2*l + 11. Calculate x(6).
-1
Let r(i) = i**2 - 3*i - 6. What is r(11)?
82
Let k(j) = j**2 - 28*j + 41. What is k(26)?
-11
Let w(l) = -l**2 - 10*l - 10. What is w(-8)?
6
Let b(c) = c + 6. Determine b(4).
10
Let c(y) = -y**3 - 8*y**2 - 2*y - 12. Give c(-8).
4
Let d(k) = 2*k + 33. Give d(-9).
15
Let p(u) = 26*u - 5. Give p(2).
47
Let g(c) = -c**2 + 11*c + 4. Calculate g(8).
28
Let b(w) = w**2 + 13*w - 15. Calculate b(-15).
15
Let y(h) = 5*h**2 - 111*h + 29. What is y(22)?
7
Let m(n) = -n**3 + 3*n**2 + 4*n - 4. Give m(4).
-4
Let o(z) = -z**2 + 4*z - 4. Give o(5).
-9
Let x(a) = -a**2 - 20*a - 37. What is x(-15)?
38
Let o(t) = t**2 - 2*t - 2. What is o(-5)?
33
Let t(g) = -g**2 - 3*g + 45. Calculate t(-8).
5
Let p(i) = -2*i + 15. Give p(7).
1
Let q(v) = -v**3 - 15*v**2 + 16*v + 7. Give q(-16).
7
Let h(z) = -4*z + 61. Give h(14).
5
Let d(y) = -y + 20. Give d(-6).
26
Let t(w) = 2*w**2 + 8*w - 11. Calculate t(-7).
31
Let x(q) = -22*q - 1. Give x(1).
-23
Let x(v) = v**3 + 9*v**2 + v + 9. What is x(-9)?
0
Let t(h) = -25*h - 51. Calculate t(-2).
-1
Let u(j) = 5*j + 2. Determine u(-2).
-8
Let u(d) = 3*d**3 - 22*d**2 + d + 23. Calculate u(7).
-19
Let x(w) = -w - 24. What is x(-6)?
-18
Let p(a) = -23*a - 2. Determine p(2).
-48
Let k(b) = 13*b**2 - 9. What is k(2)?
43
Let c(j) = 4*j**3 - j**2 - 2*j - 3. Determine c(-1).
-6
Let q(g) = -5*g + 21. What is q(3)?
6
Let o(h) = 6*h**2 + h + 6. Determine o(0).
6
Let n(x) = 8*x - 11. Calculate n(1).
-3
Let l(a) = -39*a**2 + a + 1. Determine l(-1).
-39
Let m(k) = -3*k + 9. Give m(7).
-12
Let w(i) = i**3 - 4*i**2 - 6*i + 6. Give w(4).
-18
Let a(l) = l**3 + 11*l**2 + 8*l - 20. What is a(-10)?
0
Let k(s) = -12*s + 352. Calculate k(29).
4
Let t(x) = -x**2 + 2*x + 10. Determine t(-3).
-5
Let l(f) = 15*f + 11. Calculate l(-1).
-4
Let f(z) = 14*z - 98. What is f(7)?
0
Let b(z) = -2*z - 29. Give b(-12).
-5
Let r(u) = 2*u + 104. What is r(-36)?
32
Let h(f) = 16*f - 8. What is h(-1)?
-24
Let h(q) = -5*q**3 + q**2 + 5*q + 5. Give h(-1).
6
Let r(z) = -z**3 + 2*z**2 + z - 1. Give r(2).
1
Let r(b) = -b**3 - b**2 + 5*b - 3. Determine r(3).
-24
Let a(d) = 3*d + 13. Determine a(-2).
7
Let a(v) = -v**2 - 5*v + 8. Calculate a(-8).
-16
Let h(w) = -w**2 + 2*w + 6. What is h(-4)?
-18
Let f(h) = 2*h - 8. Give f(-5).
-18
Let y(w) = -w**3 + 5*w**2 + 35*w + 16. Determine y(9).
7
Let h(l) = l - 49. Give h(26).
-23
Let z(g) = 8*g - 281. Determine z(40).
39
Let f(b) = b**3 + b**2 + b + 12. What is f(-5)?
-93
Let b(a) = a**2 - 4*a - 4. Determine b(6).
8
Let q(l) = l**2 - 59*l + 455. Determine q(50).
5
Let w(g) = g**3 - 2*g**2 + g - 1. Determine w(2).
1
Let w(u) = 9*u + 308. What is w(-37)?
-25
Let j(u) = -2*u**2 - 8*u - 5. Calculate j(-5).
-15
Let q(y) = 4*y**2 + 86*y + 44. Give q(-21).
2
Let l(s) = 2*s**2 - 35*s - 101. Calculate l(20).
-1
Let a(j) = j - 2. Determine a(-6).
-8
Let z(d) = d**2 - 18*d + 71. Give z(11).
-6
Let f(w) = w + 109. Determine f(32).
141
Let h(i) = 6*i**2 - 6*i - 4. Give h(2).
8
Let s(z) = z**3 - 13*z**2 + 12*z - 3. Determine s(12).
-3
Let g(l) = l**3 + 6*l**2 + 16. Give g(-6).
16
Let u(p) = 3*p**2 + 94*p - 56. Calculate u(-32).
8
Let w(b) = b**3 + 17*b**2 + b + 22. Determine w(-17).
5
Let q(y) = 5*y**2 - 6*y + 7. Give q(3).
34
Let z(u) = 4*u**2 + 7*u - 35. Determine z(-6).
67
Let h(u) = 44*u - 78. Calculate h(2).
10
Let m(v) = -3*v - 1. What is m(-5)?
14
Let m(d) = 36*d + 1. Calculate m(1).
37
Let h(g) = g**2 + 13*g + 22. Give h(-11).
0
Let m(y) = -y**3 + 22*y**2 + 22*y + 22. Calculate m(23).
-1
Let w(k) = 2*k**2 + 16*k + 20. What is w(-6)?
-4
Let x(r) = -r**3 + 24*r**2 + 55*r - 76. Determine x(26).
2
Let m(g) = -g**3 - 6*g**2 + 5. Give m(-5).
-20
Let o(x) = -x**2 + 25*x - 9. Determine o(14).
145
Let f(p) = -13*p - 167. Give f(-12).
-11
Let o(d) = -15*d - 79. Calculate o(-9).
56
Let p(b) = b**3 + 3*b**2 - 3*b - 10. What is p(-4)?
-14
Let t(w) = -w**2 - 9*w - 13. Give t(-7).
1
Let b(d) = d**3 - 6*d**2 - d + 2. Calculate b(6).
-4
Let x(i) = -i**3 + 2*i**2 + 63*i + 6. What is x(-7)?
6
Let s(y) = -y**2 + 17*y - 33. What is s(9)?
39
Let b(u) = -u - 19. Determine b(-17).
-2
Let c(r) = r**3 - 9*r**2 + 6*r - 2. Give c(8).
-18
Let k(r) = -2*r**3 - 12*r**2 - 2*r + 9. Calculate k(-6).
21
Let t(w) = 3*w**2 + 13*w - 6. Give t(-5).
4
Let b(g) = -27*g**2 + 4*g + 3. Give b(-1).
-28
Let a(r) = r**3 + 5*r**2 - 12*r - 27. What is a(-6)?
9
Let k(z) = -6*z**3 - 2*z**2 + 6*z - 3. Give k(3).
-165
Let b(a) = -31*a + 279. What is b(9)?
0
Let g(t) = -25*t**2 - t - 1. Calculate g(1).
-27
Let i(w) = -12*w**2 - 4*w + 5. Calculate i(1).
-11
Let l(d) = 2*d - 4. Give l(3).
2
Let n(r) = -15*r + 13. What is n(1)?
-2
Let j(z) = -7*z - 56. Determine j(-9).
7
Let p(s) = -s**3 - s**2 + 2*s - 70. Determine p(0).
-70
Let y(r) = -r**2 - 2*r. Give y(-3).
-3
Let l(z) = -2*z**2 + 21*z - 21. Give l(9).
6
Let z(a) = -a**3 - 6*a**2 + 7*a + 14. What is z(-5)?
-46
Let d(a) = -a**3 - 7*a**2 + 6*a + 3. What is d(-8)?
19
Let i(y) = 3*y**2 + 41*y + 24. Calculate i(-13).
-2
Let w(g) = g**2 - 10*g - 41. Give w(11).
-30
Let q(i) = -i**3 + 14*i**2 - 57*i + 24. What is q(7)?
-32
Let i(p) = p**3 - 12*p**2 + 9*p + 4. Give i(11).
-18
Let v(w) = 2*w**2 - 30*w - 27. Give v(14).
-55
Let f(s) = s**3 + 8*s**2 + 6*s - 10. Determine f(-7).
-3
Let g(c) = 18*c**3 - 5*c**2 + 6*c - 3. Calculate g(1).
16
Let m(p) = p**3 + 5*p**2 + 2*p - 1. Give m(-3).
11
Let i(s) = -s**3 + 2*s**2 - 4*s + 2. Give i(2).
-6
Let k(l) = -l**2 + 3*l + 2. What is k(5)?
-8
Let c(l) = -94*l + 98. Determine c(1).
4
Let l(h) = h**2 - 42*h - 80. Determine l(44).
8
Let f(i) = -i**2 - 3*i + 13. Give f(-5).
3
Let u(k) = -k**3 + 11*k**2 - 2*k + 18. Give u(11).
-4
Let w(r) = r**3 + 3*r**2 - 7*r - 1. Calculate w(-4).
11
Let s(l) = -6*l - 13. Give s(-2).
-1
Let x(n) = -n**2 + 2. Give x(-4).
-14
Let p(g) = 2*g**2 - 20*g - 6. What is p(11)?
16
Let c(p) = p**2 + 24*p - 23. Determine c(-18).
-131
Let k(q) = 7*q + 58. Calculate k(-10).
-12
Let l(r) = -5*r - 122. Determine l(-23).
-7
Let v(u) = -u + 2. Calculate v(-5).
7
Let n(i) = i**3 - 11*i**2 - 82*i + 22. What is n(16)?
-10
Let o(b) = -2*b**3 - 3*b**2 + 6. Determine o(-3).
33
Let l(g) = 2*g**3 + 16*g**2 + 6*g + 26. Give l(-8).
-22
Let m(y) = -y**2 - 6*y + 34. Give m(-10).
-6
Let d(p) = 2*p**2 - 13*p + 12. What is d(6)?
6
Let p(h) = -h**2 + 5*h + 7. Give p(-5).
-43
Let y(v) = 7*v - 13. Give y(4).
15
Let g(l) = 17*l**3 - 4*l + 4. Calculate g(1).
17
Let b(y) = 2*y**2 + 51*y - 47. What is b(-26)?
-21
Let u(w) = w**3 - 20*w**2 + 16*w - 46. Calculate u(19).
-103
Let f(n) = -3*n**2 - 4*n + 6. Calculate f(-3).
-9
Let u(o) = -o**3 - 3*o**2 - o - 2. What is u(-2)?
-4
Let l(x) = -4*x**2 - x - 2. Calculate l(4).
-70
Let j(p) = 3*p + 89. What is j(-23)?
20
Let c(w) = -w**3 - 5*w**2 + 2*w - 3. What is c(-6)?
21
Let x(s) = -s - 21. Give x(-23).
2
Let h(t) = t**2 - 6*t + 9. Determine h(2).
1
Let w(x) = 3*x**2 - 4*x + 3. What is w(3)?
18
Let y(k) = -2*k**3 - 15*k**2 - 6*k + 5. Determine y(-7).
-2
Let c(t) = -t + 50. Give c(28).
22
Let j(l) = l**2 - 7*l - 16. Give j(-2).
2
Let o(k) = k**2 + 47*k - 318. What is o(-53)?
0
Let v(w) = 25*w**2 + w - 2. What is v(-2)?
96
Let p(k) = 4*k - 41. Determine p(13).
11
Let z(o) = -2*o**2 - 6*o - 4. Calculate z(-3).
-4
Let c(u) = -u - 43. What is c(-3)?
-40
Let s(d) = -4*d - 19. Determine s(-13).
33
Let n(q) = -3*q**3 - 26*q**2 + 11*q + 3. Determine n(-9).
-15
Let k(r) = 2*r + 60. Calculate k(-23).
14
Let z(t) = 15*t**3 - 1. Give z(1).
14
Let v(g) = -32*g + 86. Determine v(6).
-106
Let w(j) = j**2 - 13*j - 54. Give w(-4).
14
Let q(x) = -43*x. Give q(-1).
43
Let z(f) = -3*f - 35. Calculate z(7).
-56
Let z(b) = -37*b - 3. What is z(-1)?
34
Let c(r) = -2*r**2 + 10*r - 6. Give c(3).
6
Let q(x) = -3*x + 2. What is q(1)?
-1
Let d(n) = 5*n**2 + 4*n - 1. Calculate d(-3).
32
Let q(u) = -2*u**2 + 23*u - 4. Determine q(11).
7
Let y(g) = 10*g + 99. Give y(-12).
-21
Let d(x) = x - 26. Calculate d(0).
-26
Let c(i) = -5*i**2 - 2*i + 4. Calculate c(2).
-20
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
the least common multiple of 18 and m?
36
Calculate the lowest common multiple of 3 and 6/(-5)*105/(-14).
9
Let h be 1*(43 + 0 + 0). Let f(y) = -12*y - 72. Let p be f(-6). Calculate the common denominator of -67/16 and p/(-3) - h/(-14).
112
What is the common denominator of 76/(-10) - 4/(-8) and (548/48)/(-1 - -2)?
60
Suppose 4*x - 4 + 0 = 0. What is the least common multiple of 5 and (0 + x/(-2))*-2?
5
Suppose 3*o = 18 + 150. Suppose -j + o = 1. Find the common denominator of (-5)/j*27*-1 and -87/2.
22
Let p(j) = -4*j - 2. Let t = -32 + 46. What is the smallest common multiple of p(-2) and t?
42
Let k = 4 - 1. Let g(m) = -m**2 + 6*m + 2. Let p(t) = -3*t**2 + 19*t + 7. Let s(j) = 7*g(j) - 2*p(j). Calculate the lowest common multiple of 1 and s(k).
3
Suppose -3*h = 2*h - 450. What is the common denominator of (-21)/h*170/6 and 25/6?
18
Let n = 20287/319 + -706/11. Let g = -33/290 + n. Calculate the common denominator of 2/7*8/1 and g.
70
Let i be (3 - (0 - -6)) + 221. Suppose -5*t + 2 = -i. Let l = t - 26. Calculate the smallest common multiple of l and 22.
198
Let z(a) = a**3 + 8*a**2 + a + 18. Suppose 1 = -i + 6. What is the least common multiple of i and z(-8)?
10
Let z = 5365/7098 + 335/169. Calculate the common denominator of z and 57/10.
210
Let r be (3/2)/(9/(-12)). Let j be (r - (1 - 2))*460. What is the least common multiple of 1 and j/(-110) + (-2)/11?
4
Suppose 156 = 5*x + 8*x. Calculate the least common multiple of 56 and x.
168
Let w be -10*(-3)/(-12)*-2. Let z = w + -3. What is the least common multiple of (-10)/(-2 - (2 + -2)) and z?
10
Let d = -947/44 + -30/11. What is the common denominator of 85/2 and d?
4
Let t = -31492/11 + 2859. What is the common denominator of t and 117/40?
440
Suppose 0 = 20*q - 19*q - 14. What is the smallest common multiple of q and (-3)/((-3)/19) - 1?
126
Let j(k) = -k**2 + 9*k - 4. Calculate the least common multiple of j(6) and 12.
84
Let a be 1/(-1*(-1)/(-18)). Let q = 3/986 + -19974/2465. Find the common denominator of q and 4/a - (-4326)/(-216).
20
Calculate the least common multiple of 5 and 4/(60/25) - (-1)/3.
10
Let s(y) = y**3 + 7*y**2 - 7*y + 6. Let j be s(-6). Let t(d) = 2*d - 4. Let z be t(6). Calculate the common denominator of ((-15)/z)/(39/j) and -1/16.
208
Suppose -6*w + 8*w = 2. What is the least common multiple of w and 8?
8
What is the common denominator of ((-306)/(-24) + 4)*(-2)/31 and 63/10?
310
Suppose -5 = -3*q - 2. What is the smallest common multiple of 171/27 - q/3 and 10?
30
Suppose -2*a = a - 30. What is the smallest common multiple of 3 and a?
30
Let s(w) = -w**2 - 2*w + 16. What is the lowest common multiple of 7 and s(0)?
112
Suppose 6*j = 4*j + 80. What is the smallest common multiple of 3 and (-6)/5*j/(-6)?
24
Let b = 22 + -15. What is the smallest common multiple of 2 and b?
14
Let s = -25224 - -555021/22. Calculate the common denominator of s and -55/52.
572
Let t be 15/10*8/(-6). Let m = t + 3. Calculate the lowest common multiple of m and 3.
3
Let q be 11/33*(0 - -3). Find the common denominator of 4/112*-82*q and -93/20.
140
Let g be (-7)/(0 - (-33)/39). Let z = g + 1233/44. Find the common denominator of 0 + (-146)/(-16) + 2 and z.
8
Let i = 9 - 8. What is the least common multiple of -7*(30/(-21))/i and 2?
10
Let c(b) = b**3 - 2*b**2 + 2*b - 4. Calculate the smallest common multiple of 136/10 + 1*(-16)/(-40) and c(3).
154
Let r be ((-1)/(-1))/(3/(-9)). Let w = -10 - r. Find the common denominator of w/1*11/18 and -67/8.
72
Let i be (1/(-6))/(4/347192). Let l = i + 15112. Let q = l + -637. What is the common denominator of q and -61/2?
6
Suppose 10 = 2*l - 0*l. Suppose -3*a = -2*u + 29, 0*u - 2*u + a + 19 = 0. What is the least common multiple of u and l?
35
Suppose s + 157 = -g, -31 - 130 = g - 3*s. Find the common denominator of (-3)/(-22)*g/(-6) and -73/16.
176
Let y(k) = k**2 + 8. Let w(f) = -f**2 - 10*f - 9. Let n be w(-9). What is the lowest common multiple of y(n) and (-17)/(-2) - (-2)/(-4)?
8
Suppose -26 + 116 = 3*v. Suppose 2*w = 3*u + 7, 3*w + 5*u = -2*w + v. Let y(s) = -4*s + 1. Calculate the smallest common multiple of y(-2) and w.
45
Let w(d) = -d**3 + 6*d**2 - 5*d + 2. Suppose -25 = -4*u + x - 0*x, 0 = 5*u - 5*x - 20. Calculate the smallest common multiple of w(5) and 13 + (-7)/(u/3).
10
Let n(f) = -2*f**2 - 13*f - 19. Let j be n(-8). Let c = 65 + j. Calculate the lowest common multiple of c and 2.
22
Let x = -5 - 0. Let m be ((-6)/(-6))/((-1)/x). Calculate the lowest common multiple of 16 and m - (2 - 0)/2.
16
Let k(z) = -z**2 + 9*z - 5. Let i be k(10). What is the common denominator of 1/(-8)*(-438)/i and 39/16?
80
Let g(w) = -7*w + 25. Let p be g(-13). Find the common denominator of (p/6)/(-4 - 2) and -34/5.
45
Let u = 7132 + -99767/14. What is the common denominator of u and 71/62?
434
Find the common denominator of -1*(-3 - 64/66*-4) and -139/12.
132
What is the smallest common multiple of (-1)/(-2) + (-188)/(-8) and 18?
72
Let p = -5797/282 - 60/47. Let f = 6/47 - 559/329. Find the common denominator of p and f.
42
Suppose 0 = -5*l - 2 - 8. Let j be 1 - 1/(l/(-10)). Calculate the common denominator of (3/(-30))/(j/890) and -9/16.
16
Calculate the least common multiple of ((-8)/(-12))/(44/(-15) - -3) and 22.
110
Suppose 5*r + 4*o - 7204 = 34332, 0 = 4*r - 5*o - 33196. Let i = r - 149575/18. What is the common denominator of (-255)/(-10) - (0/(-6))/(-7) and i?
18
Let y be ((-456)/(-99))/(0 - -14). Let k = -5/21 + y. What is the common denominator of 31/2 and k?
22
Suppose -6 = -2*u - u. Suppose 0 = z - 0*r - 5*r - 12, u*z = -r + 13. What is the lowest common multiple of 4 and z?
28
Suppose 4*r + 0*r + 12 = 0, 2*w + r + 5 = 0. Let z = 13 + w. Calculate the lowest common multiple of 4 and z.
12
Suppose 2*m - 6 = 0, -4*i + 9*i - 5*m - 45 = 0. What is the lowest common multiple of i and 6?
12
Let o = -10 + 6. Let d = -10 + 21. Let m = o + d. Calculate the smallest common multiple of m and 4.
28
Let h = -4103/48 + 505/6. Calculate the common denominator of (-138)/(-20) - (-6 + 4) and h.
80
Suppose -192 = -7*d + 32. Calculate the common denominator of 15/14 and d.
14
Let b = 4/1417 - 99226/12753. What is the common denominator of -99/4 and b?
36
Let w = -3163/4 + 786. Calculate the common denominator of 35/22 and w.
44
Let m be (-6*12/54)/(4/78). Suppose 4*j = 2*j + 88. Let g = m + j. What is the least common multiple of 16 and g?
144
Suppose q = -0*q + 3*h + 28, 3*h = -q + 16. Calculate the lowest common multiple of 12 and q.
132
Let s = 9762/7 + -1397. Calculate the common denominator of (142/(-50) + 3)*-40 and s.
35
Let f = -7 + 16. What is the smallest common multiple of f and 11?
99
Let w(x) = x**2 + 7*x - 7. Let j be w(-11). Suppose 0 - j = -4*a - 3*k, a - 19 = -4*k. Calculate the lowest common multiple of a and 10.
70
Let n = -2631/10 - -1351/5. Find the common denominator of 107/12 and n.
60
Let i = -4 + 1. Calculate the common denominator of 79/8 and (i - -3) + (-39)/2.
8
Let q = -8 + 5. Let b be (-2)/((q/(-758))/3). Find the common denominator of 23/20 and b/440 - 4/(-10).
220
Let x = 114 + -796/7. Let j = 6452/9 - 714. Find the common denominator of j and x.
63
Let d = 11715/8 + -1462. Calculate the common denominator of (1 - 9/10) + 1 and d.
40
Let f = 2851/12 + -230. Calculate the common denominator of 83/4 and f.
12
What is the common denominator of -53/27 and -4 + 4 + 2 + 29/9?
27
Let a = 9 - 5. Let y = -580 - -586. Calculate the smallest common multiple of a and y.
12
Suppose 2*g - 4*b - 3482 = 0, -4*g + 294 = -b - 6684. Let r = 19180/11 - g. What is the common denominator of r and 50/9?
99
Let i = -5641/88 + 653471/264. Let y = i + -2429. What is the common denominator of 29/18 and y?
18
Suppose -2*n = 55 - 1. Let o be 872*(-2 - 152/(-77)). Let h = 163/7 + o. Calculate the common denominator of h and n.
11
Let h(c) be the second derivative of c**4/6 - c**3/3 - c**2 + 9*c. Calculate the smallest common multiple of 18 and h(-3).
198
Let g = -1 + 3. Calculate the least common multiple of 11 and g*(-6)/(-4) - -1.
44
Let m be (-3 - -6)*-1 - -32. Suppose 5*o + 2*h = m, 3*h - 31 = -0*o - 5*o. Suppose -9 = -2*z + 11. What is the least common multiple of z and o?
10
Calculate the common denominator of (-38)/6*(-36)/(-24) and -93/2.
2
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
, 5*z = -2*u + 69. Suppose -12 = u*y - 40*y. Solve y = 2*h + 2*h for h.
1
Let x be (-40)/4 + 399 + -4 - -8. Solve 0 = 391*c - x*c for c.
0
Suppose 576 = 30*x - 14*x. Let f be (4 - 2) + (-15)/((-135)/x). Solve 4*m = 2*m - f for m.
-3
Let c be (-4 + (-135)/(-35))/(((-8)/(-952))/(-1)). Solve 17*f - 68 = -c for f.
3
Let x be -2 - (-4 - 425/20)*-12. Let q = -294 - x. Solve -3 = 2*a - q for a.
4
Suppose 0 = -2*r + 6*p - 3*p + 72, -3*r + 32 = 5*p. Solve -r = 43*q + 191 for q.
-5
Let z(l) = 7 - 26 - 4*l**2 + 31*l + 7 + 7. Let v be z(7). Suppose -f + 2*s + 9 = s, 0 = 4*f - 2*s - 28. Solve q = f*q + v for q.
-4
Let l = -7 + 13. Suppose -5*j - l = -o - 5, 0 = 4*o + 4*j - 28. Solve 15 = -o*t + 3 for t.
-2
Suppose 42*c + 80 = 23*c + 29*c. Solve -18*d = -62 + c for d.
3
Let p(j) = -2*j**2 + 15*j. Let i be p(11). Let q = i + 81. Let h be 1*(0 - -3)/1. Solve d - h = q*d for d.
-1
Suppose -196*b + 198*b = 0. Solve b = 46*v - 93 - 229 for v.
7
Suppose 14 + 28 = 2*s. Let u be 9/1 - (s + -16). Solve 0 - 20 = -u*g for g.
5
Let u = -117 - -102. Let l(w) = -w**3 - 13*w**2 + 29*w + 13. Let v be l(u). Suppose 3*g - v = -19. Solve g = -q - 0 for q.
-3
Let p = 148 + -153. Let x be (8/36)/(p/(-45)). Solve 5 = -x*g + 7 for g.
1
Let g(w) = -w**2 + 4*w - 85. Let r be g(0). Let s = -81 - r. Let a be ((-1)/s)/((-17)/136). Solve -a = -3*v - 14 for v.
-4
Suppose 8*h - 6 = 6*h. Suppose h*j - 5*j + 4*x + 6 = 0, -5*j + 2*x = -15. Suppose 4*f - 3*f - j = 0. Solve -f*z = z - 16 for z.
4
Let o(t) = 38*t - 108. Let f be o(3). Solve f*z = -360 + 390 for z.
5
Suppose -22 = -5*c + y - 1, -y - 6 = 0. Solve 23*h - c = 26*h for h.
-1
Suppose 234*d - 1060 - 344 = 0. Solve -d*n + 202 = 202 for n.
0
Suppose -3*m + 103 = 4*q, -3*q = -3*m + 66 + 9. Solve 21 = -m*p + 36*p for p.
3
Let p = 428 - 672. Let o = p + 244. Solve -3*x - 9 - 3 = o for x.
-4
Let c be -2*5/(40/12)*-1. Let o = 2106 - 2104. Solve -o*u + c = u for u.
1
Let s = 43 - 31. Let b be 0 + -1 + ((-90)/(-9) - 7). Let y be -5*(-8)/20 + 0/b. Solve 5*j = y*j - s for j.
-4
Let s(t) = 69*t**3 + t**2 - t + 1. Let w be s(1). Suppose 12*g + w = 322. Suppose -2*r - 5*r = -g. Solve r = -3*k - 0 for k.
-1
Suppose -25 = -5*f - 5*k, -5*f - k + 25 = -0*f. Suppose -4*y + 13 = f. Solve y*z - z = 0 for z.
0
Let x(o) = -o**2 + 20*o + 56. Let q be x(22). Let n be (q/11)/(8/44). Solve 4*w = n + 6 for w.
3
Suppose 237*r = 310*r - 1679. Solve -d = r - 24 for d.
1
Let c be 1502/(-12) - 19/(-114). Let g = c - -142. Solve -2 = 5*k - g for k.
3
Suppose -u = -25 + 25. Solve -18*p + 4 - 22 = u for p.
-1
Let r be (-10)/(90 + -95 - (-5)/2). Solve r*v = -7*v - 22 for v.
-2
Let h be -4*(-1)/(-4) - -33. Suppose 30*a + 30 = h*a. Solve -a*m = -11*m - 12 for m.
3
Let d be 4/(-8)*2*(-1 + -6). Solve -d*w = 11*w + 36 for w.
-2
Suppose 0 = -60*w + 61*w. Suppose 51*k - 140 - 13 = w. Let d be 0*(2 - 0)/4. Solve 0 = -k*h - d - 3 for h.
-1
Suppose 14*r - 223 = 169. Solve -53*f + r*f - 50 = 0 for f.
-2
Let g(w) = -2*w**2 + 57*w - 193. Let d(o) = o**2 - 29*o + 96. Let h(i) = -9*d(i) - 4*g(i). Let z be h(29). Solve -9*u - z = -u for u.
-3
Let r(j) = 3*j + 472. Let s be r(-153). Solve s*d = 51 - 155 for d.
-8
Suppose 3*l - 134 = -5*a, 26 = a + 43*l - 42*l. Solve a = -44*c + 28 for c.
0
Let o be (2/3)/(10/75). Let x(l) be the third derivative of l**5/30 - 3*l**4/8 + 13*l**3/6 - 53*l**2. Let b be x(o). Solve -5*s - b = 2 for s.
-4
Suppose -153*p - 128 = -169*p. Let d(b) = 30*b - 226. Let h be d(p). Solve h*w - 6*w = -40 for w.
-5
Let h be ((-12)/(-41))/(1316/26978). Suppose -4 = r + 5*j + 4, 2*r - 5*j = 14. Solve -r = 2*b - h for b.
2
Let c = -408 - -470. Let v = 74 - c. Solve 0 = 4*f - 16 + v for f.
1
Let p be ((-91)/(-35) - -1)/((-1)/10). Let o = p - -43. Solve 0 = -o*x + 31 - 3 for x.
4
Suppose 6*v - 4*v - 14 = u, -4*u + 7 = v. Let r(o) = -o**2 + 11*o - 17. Let d be r(v). Suppose 4*i - d - 1 = 0. Solve -2 = -m + i*m for m.
-1
Let m(r) = -12*r + 7. Let a be m(-3). Let b = a - 39. Solve 10 = 6*l - b*l for l.
5
Let b(t) = -22*t - 155. Let n be b(-9). Suppose 89 = 33*c - n. Solve c - 19 = 5*q for q.
-3
Let r(y) = -y**2 + 613*y + 2471. Let u be r(-4). Solve 0 = -u*n + 4976 - 4958 for n.
6
Let w be 29*(-1)/(-9) + 86/(-387). Suppose 0 = -p - h + 9, -2 = 2*h - w*h. Solve p = -2*r - 1 for r.
-4
Suppose 9 = -16*n + 19*n. Suppose -3*v + v + 27 = -n*y, y - 1 = 4*v. Let b(o) = -2*o - 20. Let f be b(y). Solve f*a = -a + 3 for a.
1
Suppose -2*k + 0 = 3*n - 7, -3*k - 4*n + 10 = 0. Suppose -2*o - 2 = 3*p, -5*o + 3*p = -k*p - 20. Solve -o*b = -8*b - 0*b for b.
0
Let k = -9 - -4. Let f = k - -8. Suppose 39*r + 32 = 43*r + 4*o, -12 = r - 3*o. Solve r = f*j + 6 for j.
-1
Suppose 0*t = 2*d + 11*t - 134, 4*d - t = 130. Solve 0 = -d*p + 27*p for p.
0
Suppose 615 - 41 = 7*a. Solve 22*k - a = 28 for k.
5
Let b be (-6)/(-6)*(142 + 2). Solve -b*i + 444 = -33*i for i.
4
Let t(n) = -n**3 + 6*n**2 + 4*n - 22. Let y be t(6). Suppose -3 = x + y*r, -3*x + 2*r = r + 16. Let z be (4 + x)/(-3)*(-1 + 10). Solve -5*a = -z*a for a.
0
Suppose 0*l = l + 4, 2*n + 4*l = -12. Let z be 0 - (-5 + 0 - -3 - 0). Suppose -q + 6 = y + 3, 4*y - z = q. Solve q*v + 20 = -n*v for v.
-5
Suppose -12*s - 13*s + 5350 = 0. Suppose 6*r = s - 118. Solve r = 11*d - 7*d for d.
4
Let x(n) = 4*n - 93. Let g be x(-10). Let l = g + 149. Solve -4*r = -8*r - l for r.
-4
Suppose 4*k - 12 = 3*g - 4, -2*g = 3*k - 6. Let x(q) = -q**2 + 24*q + 13. Let v be x(20). Let p = v + -91. Solve p*d + k = -0*d for d.
-1
Let r be 17/85*-265*(-1)/2*2. Solve r - 75 = -11*u for u.
2
Let o(j) = -j**2 - 5*j + 15. Let f be o(2). Suppose a = -f - 2, -5*k = a + 3. Solve -4*t + k = 4 for t.
-1
Let n = 1136 + -1081. Solve -6*b + 43 - n = 0 for b.
-2
Let l(c) = 2*c**3 + 39*c**2 + 13*c - 35. Let d be l(-18). Let y = d + -701. Solve -7 = y*j - 3 for j.
-2
Let t be 133/38 + (-422)/(-92) + 6/(-69). Solve -t*w + 2224 = 2240 for w.
-2
Suppose -5*x = -4*i + 561, 8*i = 13*i + 3*x - 655. Solve i*n - 122*n - 60 = 0 for n.
5
Suppose 0 = -82*y + 85*y - 45. Let h be (-7)/(-231)*11*y. Suppose 2*u + p = 14, 0*p + 28 = 4*u - 4*p. Solve -h*o - 32 = -u for o.
-5
Let r(p) = p**2 + 10*p + 2. Let d be r(2). Suppose 3*t + 27*j = 22*j + d, j + 62 = 5*t. Solve 0 = t*f - 9*f - 3 for f.
1
Suppose 6*l = 88 - 88. Suppose 9 = -3*n - 3*k, l = -n + 2*n - k - 5. Solve 0 = 5*h + n + 19 for h.
-4
Suppose 0 = -4*g + 21 + 15. Let j = 5 - g. Let o be 3/(78/4) - j/(-26). Solve o*s - 8 = 2*s for s.
-4
Let t = -3483 + 3487. Let c = 42 - 39. Solve c - t = y for y.
-1
Suppose -3*y + t = -576, 81*t + 358 = 2*y + 76*t. Solve 210 = 4*v + y for v.
4
Let j be (-9)/(-54) + (-51)/(-18). Suppose -j*w + 78 = 14*b - 12*b, 62 = 2*b - 5*w. Solve 4*g - b = -5*g for g.
4
Let d be (20/(-14))/((-24)/168). Suppose 9*i + d*i - 285 = 0. Let z be 0/((0 + 1)/((-15)/i)). Solve -2*b - b = z for b.
0
Let j = 140 + -131. Let z(r) = -r**3 + 9*r**2 + 2*r - 14. Let n be z(j). Let a = n + 4. Solve 4*k + 8 = -a for k.
-4
Let q(x) = 22*x - 119. Let c be q(6). Suppose 0 = -c*s + 29*s - 128. Solve -6 = -s*u + 2 for u.
1
Let s = 4056 - 4054. Solve -2*a - 2 = s for a.
-2
Let k = 10875 - 10867. Solve -k*h - 242 + 290 = 0 for h.
6
Suppose -o - 11*r - 18 = -7*r, -5*r = -5*o + 35. Suppose -z + 9 = 2*z. Suppose 5 = -t - o*y, -z*t - 2*y = t - 4. Solve -6*l + t*l - 15 = 0 for l.
-5
Let m(a) = a**2 - 9*a + 7. Let q = 66 - 57. Let d be m(q). Suppose -5*u + d = -8. Solve -n - 8 = -u*n for n.
4
Let v(t) = t**3 + 4*t**2 - t + 39. Suppose 4*x + 11 = 3*m, -1 = 2*x - 4*m - 3. Let i be v(x). Solve i - 4 = 5*c for c.
3
Let k(o) = 120*o - 663. Let t be k(6). Solve 9*h = t - 39 for h.
2
Suppose -55534 = -104*t + 26002. Solve -766 = -3*l - t for l.
-6
Let p(w) = -43*w - 4. Let m be p(-1). Suppose 129 = 6*t + m. Solve -9*v - t = -14*v for v.
3
Suppose -72*p + 134 = -154. Solve p*b = 239 - 239 for b.
0
Let q be (46/(-92))/(4/(-152)). Solve -q = 5*z - 14 for z.
-1
Let u be ((-1120)/98)/((-12)/126). Solve -14*g + 64 = u for g.
-4
Let d(l) = -18*l - 18. Let q be d(-1). Solve q = 19*m - 21*m + 8 for m.
4
Let n be 1 + 65 + (-2)/((-26)/117) - -2. Solve n*g = 63*g - 28 for g.
-2
Let j(b) = b**3 + 18*b**2 - 21*b - 23. Let y be j(-19). Solve 0 = -y*u + 2*u - 52 for u.
-4
Let f = 25459 - 25439. Solve -f*i = -541 + 581 for i.
-2
Let i be ((5 - -10) + -15)/1. Solve -4*b - 33*b + 11
|
{
"pile_set_name": "DM Mathematics"
}
|
= -2*l - d*l. Calculate the remainder when l is divided by a(8).
6
Let g(x) be the second derivative of 4*x**3 - 77*x**2/2 - 56*x. What is the remainder when g(12) is divided by 71?
69
Let k = -8978 + 8990. Let y = -3 - -6. Calculate the remainder when k is divided by y.
0
Let k = -529 + 299. What is the remainder when k/92*284*4/(-10) is divided by 24?
20
Suppose 2*g - 14 = -2. Let f = 198 - 179. Calculate the remainder when -22*(-3)/g*(f - 3) is divided by 45.
41
Let d be 20/(4/(2 + -6)). Let a = 3 + d. Let q = a - -38. What is the remainder when 83 is divided by q?
20
Suppose 2*a = -24*u + 26*u + 8, 2*a - 6 = 0. Calculate the remainder when 11 + 8/(-8) + u + 0 is divided by 3.
0
Let s be (-39)/(-12) - (-2)/(-8). Suppose 2*l - 140 = -s*l. Let w(h) = -h**2 - 3*h + 165. Calculate the remainder when l is divided by w(11).
6
Suppose -x + 35 = -20. Let d be (167 + -163)*(1 + 103/4). Suppose -9*p + 1 = -d. Calculate the remainder when x is divided by p.
7
Let j(q) = 3*q**2 + 19*q + 84. Calculate the remainder when 774 is divided by j(-6).
72
Suppose -3*f = -3*o + 447, 427 = 3*o + 2*f - f. Let s = 178 - o. Calculate the remainder when 203 is divided by s.
33
Suppose -53*t + 12*t + 1476 = 0. Let h(a) = 4*a**2 + 9 - 3*a**3 + 5*a**3 - a**3 - a. What is the remainder when t is divided by h(-4)?
10
Let m(k) = -10*k + 2. Suppose -35*v + 5*i = -31*v - 89, i + 75 = 3*v. Calculate the remainder when v is divided by m(-2).
4
Suppose -22*k - w + 187 = -10*k, 3*w + 15 = 0. What is the remainder when 198 is divided by k?
6
Let n(s) = s**3 - 3*s**2 - 7*s + 5. Suppose -3*z = -38 - 298. What is the remainder when (-8 - -7)/((-2)/z) is divided by n(5)?
16
Let g = 4586 - 4558. What is the remainder when 574 is divided by g?
14
Let x be 8/10 - 5577/65. Let c = 85 + x. What is the remainder when 7 is divided by -3 + 28/(4 - c)?
3
Suppose 3*l = -y + 4699, 4*l - 5802 = 5*y + 419. Calculate the remainder when l is divided by 32.
28
Let j(d) = -d - 1. Let b(n) = -11*n - 24. Let i(l) = -b(l) + 5*j(l). Let t be i(-12). Let g = 158 + t. Calculate the remainder when g is divided by 27.
24
Suppose 7*y - 8*y = -23. Calculate the remainder when 735 is divided by y.
22
Suppose -4*o + 142 = -58. Let h = o - 12. What is the remainder when h is divided by 91/4 - 6/8?
16
Let p(v) = -411*v + 323. Let w be p(-5). Suppose -29*g = 12*g - w. Calculate the remainder when 283 is divided by g.
51
Suppose -29*z = -33*z - x + 430, 0 = z - x - 110. What is the remainder when 119 is divided by z?
11
Suppose -5*z + 40 = 20. Suppose 5 + 13 = 5*p + z*s, -3*s = 5*p - 21. Calculate the remainder when 13 is divided by p.
1
Suppose -13207*m + 13250*m = 48719. What is the remainder when m is divided by 23?
6
Suppose -4*f + 18 = 5*f. Suppose -f*u + 13 = 3. Suppose 5*c - 404 = 4*y, -18 = -2*c - u*y + 137. Calculate the remainder when c is divided by 28.
24
Suppose -85418 + 2365 = -62*i - 12745. Calculate the remainder when i is divided by 225.
9
Let j = 7604 + -6967. What is the remainder when j is divided by 59?
47
Let j(b) = 9*b + 49. Let y(q) = 20*q - 9. Let z be y(1). Calculate the remainder when j(z) is divided by 51.
46
Let q(b) = b**3 - 39*b**2 + 239*b - 65. What is the remainder when q(32) is divided by 108?
91
Let o = 7650 - 7551. What is the remainder when 3263 is divided by o?
95
Suppose t - 38 = -1. Let a = -7490 - -7578. What is the remainder when a is divided by t?
14
Let q = 217 + -220. Calculate the remainder when (451/(-33))/(q/9) is divided by 16.
9
Let m = -82 - -101. Calculate the remainder when (-4 - (2 - 96)) + 3 is divided by m.
17
Let j(i) = -i**2 - 6*i + 41. Let u(z) = -2*z**3 + 15*z**2 - 8*z + 7. Let l be u(7). What is the remainder when 84 is divided by j(l)?
2
Let a = 5028 + -4971. What is the remainder when 4556 is divided by a?
53
Let v = -422 + 172. Let h = v + 270. Calculate the remainder when h is divided by 8.
4
Suppose -4*z = 21*p - 20*p - 64, -3*z = 3*p - 174. Suppose -50 = -b + 5*h + 12, -4*h - 200 = -4*b. Calculate the remainder when p is divided by b.
9
Let q(h) = 138*h - 1678. Calculate the remainder when q(20) is divided by 107.
12
Let p(c) = 4*c**2 - 3*c. Suppose -35*h + 37*h - 8 = 5*i, 0 = -4*i + 4*h - 4. Calculate the remainder when 80 is divided by p(i).
14
Suppose 4*p = -5*g + 56, -g + 4*p + 51 - 59 = 0. Suppose g*t - 141 = -109. Calculate the remainder when 171 is divided by t.
3
Let n(a) = -2*a**3 - 7*a**2 + 3*a + 7. Suppose -2*k = -4*k + 240. Suppose -28*y = -31*y + k. What is the remainder when y is divided by n(-4)?
7
Let c = 32653 + -32394. What is the remainder when c is divided by 26?
25
Suppose 2*l + 18*a - 22*a = 1496, 3734 = 5*l - 4*a. Let s = l + -671. What is the remainder when 173 is divided by s?
23
Let k = 248 - 147. Let y = 339 + -280. Calculate the remainder when k is divided by y.
42
Let b = -30 - -35. Calculate the remainder when (b + -10 - -15) + 1 + -3 is divided by (6/(-30) - 12/(-10)) + 1.
0
Let f(u) = 14*u**2 + 83*u + 749. What is the remainder when f(-9) is divided by 273?
44
Suppose -541 = -159*c + 3997 + 14224. What is the remainder when 458 is divided by c?
104
Let b = 56 + -53. Suppose 14*o = b*o + 176. What is the remainder when -2 + 1722/27 + 14/63 is divided by o?
14
Let o be (-4 - (6 - 11)) + (0 - 2). Let n = 5 + 6. Calculate the remainder when ((-11)/33)/(o/57) is divided by n.
8
Let k = -30 + 15. Let s = k - -56. What is the remainder when s is divided by (1/(-3))/(2/(-90) - 0)?
11
Suppose -4*z - 3*d + 83 = 0, 5*d + 241 - 206 = 0. What is the remainder when 259 is divided by z?
25
Let k be -2 + -1 + 9 + -1. Let b(i) = 8*i + 12. Let v(f) = 37*f**2 - 15*f + 34. What is the remainder when v(2) is divided by b(k)?
48
Suppose 0 = -4*r - 75 - 97. Let g be -1 + (-7 + 4 - r). Suppose 0 = -38*z + 41*z - g. Calculate the remainder when 24 is divided by z.
11
Let u(o) = 148*o - 1305. Calculate the remainder when 156 is divided by u(9).
21
Suppose 0 = b - f + 17, f - 5*f = b - 8. Let r = -3 - b. Suppose 4*j + 7 = 2*h - 11, -3*j + r = 0. What is the remainder when 118 is divided by h?
13
Suppose -218 = 5*n - 5*d + 102, -3*n = -2*d + 191. Calculate the remainder when (-177 - -3)*(n/14 + 4) is divided by 22.
21
Let h = 2239 - 2144. What is the remainder when 472 is divided by h?
92
Let q = 25 - 10. Suppose 5*o - 30 = -10. Suppose t = o + 55. Calculate the remainder when t is divided by q.
14
Let g = -106 + 111. Suppose -g*s + 380 = -2*i, -2*i = 3*s - 176 - 36. Let j = 101 - s. What is the remainder when 48 is divided by j?
21
Let t be (-2*(-3)/(-10))/(4/(-780)). Let m = -13 + t. Let u = -91 + m. What is the remainder when 103 is divided by u?
12
Suppose -146*q + 345 = -4619. Calculate the remainder when 7173 is divided by q.
33
What is the remainder when (1*-37)/(((-4)/6)/(17304/63)) is divided by 21?
19
Let g = 300 + -183. Let d = 87 + -70. What is the remainder when g is divided by d?
15
Let q(h) = h**3 + 10*h**2 + 2*h + 13. Calculate the remainder when (384 - 0)/(1/(10/15)) is divided by q(-9).
28
Suppose -476*c = -466*c + 1160. Let t = c - -132. What is the remainder when 157 is divided by t?
13
Let h = 25 - 6. Suppose -68*y + 90*y - 9424 = 8506. Calculate the remainder when y is divided by h.
17
Calculate the remainder when 8133 is divided by (36/7)/(31/217).
33
Let l be 7*(12/(-42) - 0). What is the remainder when 151 is divided by (35/21 - -2)*(-6)/l?
8
Let x be 1 - 4 - 10/(-5). Calculate the remainder when 99 is divided by ((-290)/203)/(x/7).
9
Let x(b) = -8*b + 206. Let g be x(24). Suppose -g*d - 84 = -938. What is the remainder when 238 is divided by d?
55
Suppose 3*i - 32*h = -37*h + 1754, 3*h = i - 580. Calculate the remainder when i is divided by 14.
9
Let o = 9 - 4. Suppose o*b + 106 = -319. What is the remainder when 12 is divided by (-1)/4 - b/20?
0
Suppose 0 = -2*b + 218 - 208. Suppose o = s - 33, -b*s - 3*o - o = -165. Calculate the remainder when 161 is divided by s.
29
Let n(k) = 6*k**2 - k + 8. Let r be ((-39)/1)/((-2 - 0) + 1). Let h = r + -42. What is the remainder when n(h) is divided by 24?
17
Let d = 59 - -15. Calculate the remainder when d is divided by -12 - (4 + (9 + -38 - 7)).
14
Suppose 4*x = -z + 456, -217 = -2*x - z + 9. What is the remainder when x is divided by 2*((-261)/6)/(-3)?
28
Let s = 1002 + -
|
{
"pile_set_name": "DM Mathematics"
}
|
j**3 - 1845*j**3 + 911*j**3.
5*j**3
Collect the terms in -29*a**3 + 102*a - 102*a + 12*a**3 + 8*a**3.
-9*a**3
Collect the terms in 8776 + q**3 + 8770 - 2*q**2 - 17546 + 2*q**2.
q**3
Collect the terms in 1023 + 11*z + 17*z - 1023 - 34*z.
-6*z
Collect the terms in 42*h + 194*h - 1244*h.
-1008*h
Collect the terms in 5642*z - 2712*z**2 - 5642*z.
-2712*z**2
Collect the terms in -1356 - 16757 + 2298 - 5378 - j**3.
-j**3 - 21193
Collect the terms in 20*y**3 - 9*y**3 - 52*y**3 + 64*y**3.
23*y**3
Collect the terms in 171*v**2 - 178*v**2 + 37*v**2.
30*v**2
Collect the terms in -16*y - 8*y - 11*y - 11*y + 52*y - 7*y.
-y
Collect the terms in 778*n - 2*n**2 + 256*n - 3*n**2 - 88*n.
-5*n**2 + 946*n
Collect the terms in -33*s + 14*s + 11*s + 9*s + 4*s**2.
4*s**2 + s
Collect the terms in -317592191846 - 3*q + 317592191846.
-3*q
Collect the terms in 35*q**2 + 27*q**2 + 34*q**2 - 93*q**2.
3*q**2
Collect the terms in -83*w + 77*w - 243*w.
-249*w
Collect the terms in 6*r + 5*r - 23*r + 157 + 102 + 11*r.
-r + 259
Collect the terms in 1 + 15352*m + 3140*m + 0.
18492*m + 1
Collect the terms in -1139*k + 2275*k + 25 - 1138*k.
-2*k + 25
Collect the terms in -98*n - 45 + 103*n + 2.
5*n - 43
Collect the terms in -5 + 25*p**2 + 2 - 161*p**2 + 1.
-136*p**2 - 2
Collect the terms in -221*h + 281*h - 54*h.
6*h
Collect the terms in -74*p - 37*p + 125*p - 47*p.
-33*p
Collect the terms in -203096505*d**3 + 4 - 3 + 1 - 2 + 203096501*d**3.
-4*d**3
Collect the terms in 217*y - 422*y + 205*y + 84*y**2.
84*y**2
Collect the terms in 192*c**2 + 820*c - 820*c - 196*c**2.
-4*c**2
Collect the terms in -31*b**3 - 15322*b**2 + 37*b**3 + 15322*b**2 - 5*b**3.
b**3
Collect the terms in -2541*w**3 - 2470*w**3 + 7488*w**3 - 2473*w**3.
4*w**3
Collect the terms in 0*n + 114*n**2 - 3*n + 100*n**2 + 3*n.
214*n**2
Collect the terms in -339*y**3 + 42*y**3 - 202*y**3.
-499*y**3
Collect the terms in 30*p**2 - 6*p**2 - 3*p**2 - 17*p**2.
4*p**2
Collect the terms in 1400*n**3 - 13312*n**3 - 16641*n**3 + 6969*n**3.
-21584*n**3
Collect the terms in -54*h**3 + 56*h**3 + 6*h - 17*h**2 - 8*h**2 + 25*h**2.
2*h**3 + 6*h
Collect the terms in -33*d + 15*d + 9*d + 13*d + 76 - 74.
4*d + 2
Collect the terms in 0 - 154*q**2 + 298*q**2 + 0 - 147*q**2.
-3*q**2
Collect the terms in -48*w**2 + 471*w**2 - 1278*w**2 - 1475*w**2.
-2330*w**2
Collect the terms in -133*u**2 + 212*u**2 - 91*u**2.
-12*u**2
Collect the terms in -1 + 1 - 3603*m**3 + 1095*m**3.
-2508*m**3
Collect the terms in -1078*v + 4*v**2 + v**2 - 1091*v + 2169*v.
5*v**2
Collect the terms in -44969*g - 2 + 149288*g + 2.
104319*g
Collect the terms in -37203*k + 18658*k + 18593*k.
48*k
Collect the terms in -11*b - 5*b - 17*b - 58*b.
-91*b
Collect the terms in 103*f**3 - 32*f**3 - 101*f**3.
-30*f**3
Collect the terms in -68*c - 76*c - 2538 + 143*c + 2538.
-c
Collect the terms in 11*a - 260*a**3 + 63*a**3 + 60*a**3 + 68*a**3 + 72*a**3.
3*a**3 + 11*a
Collect the terms in -44*b + 2734*b + 3279*b.
5969*b
Collect the terms in -m**3 + 0*m**3 + 0*m**3 + 244.
-m**3 + 244
Collect the terms in -8784*q - 8790*q + 20*q**3 + 17574*q.
20*q**3
Collect the terms in -171 + 171 + 36*c**3.
36*c**3
Collect the terms in 1 + 20 - 20 - 1 - 1503*k.
-1503*k
Collect the terms in 1276 - 1276 + 48*p**3 + 40*p**3 - 16*p**3.
72*p**3
Collect the terms in 4 - 7*l + 2 + 2.
-7*l + 8
Collect the terms in -46569*v - 35*v**2 + 46569*v.
-35*v**2
Collect the terms in 95740*v**2 - 191473*v**2 + 95737*v**2 + 31*v.
4*v**2 + 31*v
Collect the terms in 16120*n + 2393*n + 9294*n + 98479*n.
126286*n
Collect the terms in -10*d + d**3 + 42*d + d**3 - 9*d.
2*d**3 + 23*d
Collect the terms in -245*j**2 + 67*j**2 + 119*j**2 + 4*j.
-59*j**2 + 4*j
Collect the terms in 33 + 2*v**2 + 33 + 63*v - 63*v.
2*v**2 + 66
Collect the terms in 20*m**3 + 2*m**2 - 6*m**2 + 6*m**2 - 11*m**2.
20*m**3 - 9*m**2
Collect the terms in 160382*d + 160375*d - 320754*d.
3*d
Collect the terms in 382*q - 933*q + 5814*q - 2 + 7462*q.
12725*q - 2
Collect the terms in 4 + 1522*m**2 + 4 - 1599*m**2 - 7.
-77*m**2 + 1
Collect the terms in -48*m + 39*m - 236*m.
-245*m
Collect the terms in -259*i**3 + 16 + 6*i + 29 + 264*i**3 - 6*i.
5*i**3 + 45
Collect the terms in -28516*m**3 - m + 28511*m**3 + 11*m.
-5*m**3 + 10*m
Collect the terms in 1207*l - 475*l - 541*l.
191*l
Collect the terms in 1140*k**2 - 542*k**2 - k**3 - 533*k**2.
-k**3 + 65*k**2
Collect the terms in -138*y**2 + y + 71*y**2 - 157*y**2 - y.
-224*y**2
Collect the terms in 42*y**3 - 92*y**3 - 97*y**3 - 78*y**3 + 48*y**3.
-177*y**3
Collect the terms in -940*d + 1851*d - 913*d.
-2*d
Collect the terms in 398 - 14*o**3 + 391 - 36*o**3 + 392 - 1181.
-50*o**3
Collect the terms in 35*h + 7*h**3 - 7*h + 35*h.
7*h**3 + 63*h
Collect the terms in -3 - 2*c - 4*c + 29571*c**2 + 6*c.
29571*c**2 - 3
Collect the terms in 3 - 18143*x**2 - 18146*x**2 + 54436*x**2 - 18151*x**2.
-4*x**2 + 3
Collect the terms in -9381*m + 3087*m + 3195*m + 3097*m.
-2*m
Collect the terms in -68*w**3 - 49*w**3 - 37*w**3 - 3*w**3.
-157*w**3
Collect the terms in 14081 + 29*j - 28168 + 14086.
29*j - 1
Collect the terms in -101*f**3 + 8*f**2 - 2*f**2 - 4*f**2.
-101*f**3 + 2*f**2
Collect the terms in 189*i**3 - 147*i**3 - 2*i**2 + 1164*i**3.
1206*i**3 - 2*i**2
Collect the terms in 5*j + 13 - 34*j + 32*j.
3*j + 13
Collect the terms in -5*a + 138*a**2 - 141*a**2 + 6*a - 37*a**3.
-37*a**3 - 3*a**2 + a
Collect the terms in -118487*d - 18*d**2 + 118487*d.
-18*d**2
Collect the terms in 1538*h - 6 + 3 + 3.
1538*h
Collect the terms in 98830*h + 68574*h + 649*h - 13123*h.
154930*h
Collect the terms in -4703*y**2 + 2324*y**2 - y + y + 2353*y**2.
-26*y**2
Collect the terms in 23306*r**2 - 11680*r**2 - 11629*r**2.
-3*r**2
Collect the terms in -126*u**2 - 28*u**2 + 143*u**2.
-11*u**2
Collect the terms in 281*c**3 - 75*c**3 - 71*c**3 - 74*c**3 - 71*c**3.
-10*c**3
Collect the terms in -3*c**3 - 1915*c**2 - 1932*c**2 + 3847*c**2 - 8*c**3.
-11*c**3
Collect the terms in 0 + 0 - 10269*q**2 + 5107*q**2 + 5104*q**2.
-58*q**2
Collect the terms in -6 - 13*r**2 + 6 + 17 - 14*r**2.
-27*r**2 + 17
Collect the terms in 0 - 12314*p + 0.
-12314*p
Collect the terms in -66*c - 57*c + 296*c - 59*c - 47*c - 48*c.
19*c
Collect the terms in -25*p + 10*p**2 + 71*p - 37*p.
10*p**2 + 9*p
Collect the terms in 0*m + 0*m - 667835*m**3 + 0*m + 0*m + 667838*m**3.
3*m**3
Collect the terms in 53*v**2 + 17*v**2 + 43*v**2 + 11*v**3 + 5*v**3 - 14*v**3.
2*v**3 + 113*v**2
Collect the terms in -4 + 29*r - 4 - 1 - 7 + 12.
29*r - 4
Collect the terms in -1888*y**3 - 1873*y**3 + 4*y**2 + 5537*y**3 - 1853*y**3.
-77*y**3 + 4*y**2
Collect the terms in -1406*s - 39*s**3 + 1403*s + 12*s**3.
-27*s**3 - 3*s
Collect the terms in 2*p + 48*p**3 - 5*p**2 - p**3 - 5*p**3.
42*p**3 - 5*p**2 + 2*p
Collect the terms in -277*k - 278*k - 272*k - 275*k + 1094*k.
-8*k
Collect the terms in 683*z**3 - 157*z**3 - 5172*z**3.
-4646*z**3
Collect the terms in -425 + 38*u + 845 - 420.
38*u
Collect the terms in 1 - 325*g**2 + 451*g**2 - 1 + 189*g**2.
315*g**2
Collect the terms in 723*k + 600*k + 781*k - 49*k.
2055*k
Collect the terms in -7*z**2 - 151327045 - 2*z + 151327045.
-7*z**2 - 2*z
Collect the terms in -48*x - 26*x - 934*x**2 + 936*x**2.
2*x**2 - 74*x
Collect the terms in -2009*u - 2199*u + 4429*u.
221*u
Collect the terms in 27*d**3 - 723*d + 0 + 0 + 724*d.
27*d**3 + d
Collect the terms in 11*m - 6*m - 28*m - 19*m + 2*m.
-40*m
Collect the terms in 471*s - 181*s + 272*s + 141*s.
703*s
Collect the terms in 547*u - 137*u - 136*u - u**2 - 158*u - 145*u.
-u**2 - 29*u
Collect the terms in 50*c**2 + 47*c**2 - 52*c**2 - 14*c**2 + 42*c**2.
73*c**2
Collect the terms in 11*v - 13*v + 343 + 650 + 357.
-2*v + 1350
Collect the terms in 1112*u**2 - 7 + 16 - 1108*u**2 - 9.
4*u**2
Collect the terms in -8 + 8 + 1733*p - 6452*p.
-4719*p
Collect the terms in 21*o**2 + 268*o - 542*o + 274*o - 89*o**2 + 73*o**2.
5*o**2
Collect the terms in 467142116*o + 5*o**2 - 467142116*o.
5*o**2
Collect the terms in -252 + 2*d - 266 + 285 - d.
d - 233
Collect the terms in 3606612*m - 1803298*m - 1803314*m + 5*m**2.
5*m**2
Collect the terms in -18*i**3 - 51*i**3 - 44*i**3 - 198*i**2 + 198*i**2.
-113*i**3
Collect the terms in -8*v - 28 - 18 + 57 - 36 + 0*v.
-8*v - 25
Collect the terms in 607 - 300 - 307 - 16*b**3 - 27*b**3.
-43*b**3
Collect the te
|
{
"pile_set_name": "DM Mathematics"
}
|
s -236 + -36572?
-36818
In base 2, what is 10011 - -10011100000001111001010?
10011100000001111011101
In base 8, what is 226201345 - -4?
226201351
In base 7, what is 1344 - 4250656?
-4246312
In base 7, what is 1 + -550104366?
-550104365
In base 7, what is -120150253 + 23?
-120150230
In base 4, what is -2330 - 22312322?
-22321312
In base 8, what is -34 - -225723?
225667
In base 5, what is 2320130 + 2134?
2322314
In base 7, what is -1 - -2552533402?
2552533401
In base 6, what is -244223520 + -1?
-244223521
In base 15, what is -4 - -2a048c1?
2a048bc
In base 9, what is 7 - 3114655?
-3114647
In base 2, what is 10 - -111000101100000111011?
111000101100000111101
In base 11, what is 1a + 68817?
68836
In base 15, what is 16d164c - -4?
16d1651
In base 8, what is 21627150 + 114?
21627264
In base 12, what is -433 + 4a599?
4a166
In base 8, what is -205 + -44542?
-44747
In base 15, what is 3e + 1429964?
14299a3
In base 2, what is -100101000010111011110100 - -100?
-100101000010111011110000
In base 2, what is 111111011000100011101100 - 11?
111111011000100011101001
In base 5, what is 1420103 + -13420?
1401133
In base 15, what is -2b85c - -1?
-2b85b
In base 2, what is -111110110011001 + -10111101010111?
-1010110011110000
In base 5, what is 1010340033 - 4?
1010340024
In base 11, what is -2 + 4192a46?
4192a44
In base 6, what is -1555 - 5345?
-11344
In base 11, what is 41 + -284481?
-284440
In base 3, what is -2 + 11201100220010102?
11201100220010100
In base 8, what is 5311641 - -114?
5311755
In base 11, what is -1a988 - -61?
-1a927
In base 10, what is -25 + 217580?
217555
In base 12, what is -421227 + -5?
-421230
In base 13, what is -104b + -71b9?
-8237
In base 12, what is 997 + -14b203?
-14a428
In base 9, what is -32348322 + -1?
-32348323
In base 16, what is -1 - -48877f?
48877e
In base 10, what is 14201 - -335?
14536
In base 16, what is 12dc03f - 2?
12dc03d
In base 5, what is -1010142 - 102132?
-1112324
In base 4, what is -3122101 - 223220?
-10011321
In base 15, what is 255e8b5 + -12?
255e8a3
In base 10, what is 0 + -4380759?
-4380759
In base 10, what is 14 + 17320133?
17320147
In base 8, what is -652 + 25464?
24612
In base 5, what is -2112 + -101233043?
-101240210
In base 14, what is 4690 + -508?
4186
In base 2, what is 1001011000100111000001100 + 100?
1001011000100111000010000
In base 7, what is 2010 - -136314?
141324
In base 4, what is 1012222233233 + 13?
1012222233312
In base 7, what is 1611521233 + 0?
1611521233
In base 6, what is 15232115 - 12?
15232103
In base 2, what is 11 - -1010101111011100110001?
1010101111011100110100
In base 5, what is 134 - -120212212?
120212401
In base 14, what is 36c4 - 9c7?
2adb
In base 5, what is -213330 - -1134132?
420302
In base 14, what is -43b9196 + 2?
-43b9194
In base 12, what is 9896aa64 + -5?
9896aa5b
In base 11, what is 7095a0 - 31?
70956a
In base 10, what is 28 - -626989?
627017
In base 12, what is -2665940 + 3?
-2665939
In base 16, what is 4 - 92ae8d?
-92ae89
In base 6, what is -123322121 + -421?
-123322542
In base 12, what is 3 - -132946a?
1329471
In base 11, what is -14861 - 34959?
-4970a
In base 8, what is 6 + -62277?
-62271
In base 16, what is 1224 + -10e04?
-fbe0
In base 8, what is -4 + -6436525?
-6436531
In base 3, what is 20200 + 2222102211201?
2222110002101
In base 8, what is 3034 - 674700?
-671644
In base 13, what is 23a - a3b6?
-a179
In base 11, what is 217a65 - 211?
217854
In base 6, what is 0 + 200455532?
200455532
In base 2, what is -11010111111101 - 10111000111001?
-110010000110110
In base 3, what is 0 - -101111220021010?
101111220021010
In base 16, what is -31f15 - -a8?
-31e6d
In base 4, what is 210302 + -302101110?
-301230202
In base 16, what is 303f + -df?
2f60
In base 7, what is 54131204 + -14?
54131160
In base 10, what is -10 - 171484?
-171494
In base 14, what is 428 - 27812?
-273c8
In base 14, what is 1bb7 + -1b5d?
58
In base 11, what is -544 - a537?
-aa80
In base 11, what is 23a5608 + -9a?
23a5519
In base 16, what is -a2 + 5392?
52f0
In base 10, what is 4 + 176701?
176705
In base 15, what is -3 - a3b01eb?
-a3b01ee
In base 2, what is 101111110100 + -11110111010?
10000111010
In base 12, what is 53303 - b5a?
52365
In base 6, what is 22 + -133524543?
-133524521
In base 9, what is -1110483 - 3073?
-1113566
In base 2, what is -1111101110001110000 + -10111001000?
-1111110001000111000
In base 2, what is 100 + 1000011101100100011101000?
1000011101100100011101100
In base 11, what is -8326743 - -5?
-8326739
In base 16, what is -2 + 64125d7?
64125d5
In base 4, what is -11 - 202030301331?
-202030302002
In base 5, what is 0 - 10032041221?
-10032041221
In base 15, what is -3ee - 8a3d2?
-8a7d1
In base 9, what is -48345 + 412?
-47833
In base 6, what is 150 - 110510204?
-110510014
In base 3, what is 12020112101 + 22?
12020112200
In base 15, what is -2c3b70 + -4?
-2c3b74
In base 16, what is -450 - 8715?
-8b65
In base 15, what is 37dac6 - -2?
37dac8
In base 11, what is -1319 + -46a3?
-5a11
In base 8, what is -3541 + 1625?
-1714
In base 15, what is -ae3e - -2ce?
-ab60
In base 8, what is 2 - -46422127?
46422131
In base 13, what is 42 - 48b44?
-48b02
In base 13, what is -cc - 21263?
-21362
In base 9, what is -6580 + -7727?
-15417
In base 14, what is 1012c2 + 5a1?
101883
In base 9, what is 367 + -31831?
-31453
In base 10, what is -25 - 79214?
-79239
In base 10, what is -95766081 - -8?
-95766073
In base 6, what is -11 - -1203133340?
1203133325
In base 16, what is -13b - 29393?
-294ce
In base 6, what is -132 + 4220332?
4220200
In base 14, what is 242310 - b?
242303
In base 7, what is -3421 + 143446?
140025
In base 15, what is -175 + ce6a?
cce5
In base 9, what is 12350133 + -5?
12350127
In base 8, what is -4671062 + -373?
-4671455
In base 5, what is 0 + 1312333214003?
1312333214003
In base 12, what is 1 + b001b92?
b001b93
In base 9, what is 204 + -656581?
-656376
In base 2, what is 1000 - -11110011111101?
11110100000101
In base 4, what is -202120202 + -3001?
-202123203
In base 8, what is -3 + 1130252251?
1130252246
In base 10, what is 6340168 - -1?
6340169
In base 16, what is 3 + -c52f19?
-c52f16
In base 8, what is -7302773 + 1?
-7302772
In base 4, what is 1032322230113 - 0?
1032322230113
In base 7, what is 16006 + -22116?
-3110
In base 14, what is -7 + -2b36c19?
-2b36c22
In base 13, what is 1565687 - -3?
156568a
In base 14, what is -21a + 32b6d?
32953
In base 4, what is -101121222032 - -20?
-101121222012
In base 10, what is -79 - 4702027?
-4702106
In base 4, what is 221 + -331110201330?
-331110201103
In base 2, what is 1101011011100001010110 + 0?
1101011011100001010110
In base 9, what is -5138 + -48522?
-54661
In base 8, what is 1151163451 - 4?
1151163445
In base 11, what is 3 + -8220721?
-8220719
In base 13, what is -a9576 - -176?
-a9400
In base 6, what is -140433 + 242?
-140151
In base 4, what is 2113 + -2111211012?
-2111202233
In base 7, what is -2 - 156115636?
-156115641
In base 6, what is -1014411 - -12431?
-1001540
In base 7, what is 15330355 - 43?
15330312
In base 9, what is 1240485 + -75?
1240410
In base 16, what is -1a - 8bba5?
-8bbbf
In base 12, what is 21 - -1b4974?
1b4995
In base 9, what is 0 + 4776854?
4776854
In base 12, what is -3 - -180b0b?
180b08
In base 10, what is 4 - -76379481?
76379485
In base 8, what is 5 - -23322142?
23322147
In base 5, what is -133 - -213003133?
213003000
In base 7, what is -4 - 556043102?
-556043106
In base 15, what is 33 + -15574dc?
-15574a9
In base 3, what is -2100110012 + -2220000?
-2110100012
In base 7, what is -44614 + 63523?
15606
In base 4, what is 11 + -2203031310211?
-2203031310200
In base 14, what is 4 + b51849?
b5184d
In base 13, what is -1a935 - -1a5?
-1a760
In base 16, what is -4b0a1cc + 4?
-4b0a1c8
In base 7, what is 123112 + -2245?
120534
In base 14, what is 1b4d - dcd2?
-c183
In base 3, what is -2 + -20111122202121112?
-20111122202121121
In base 14, what is 406c + -13b?
3d31
In base 12, what is -1139 - 213a?
-3277
In base 5, what is -210432 + -2022?
-213004
In base 8, what is 751136 + -530?
750406
In base 8, what is 45035 + -375?
44440
In base 13, what is -6 + 105338?
105332
In base 3, what is -121121 - -1001112120?
1000220222
In base 13, what is 657b32 - -94?
657bc6
In base 6, what is -14 + -50242022?
-50242040
In base 6, what is 122 + -22500?
-22334
In base 6
|
{
"pile_set_name": "DM Mathematics"
}
|
is the second biggest value? (a) w (b) l (c) m
b
Let h = 8 + -3. Let m be (-2)/6*(-4 + 7). Let y be -4 - 1 - (m - 1). Which is the third biggest value? (a) -0.5 (b) h (c) y
c
Let x = 104.5 - 105. What is the smallest value in 0.2, x, -0.6?
-0.6
Let n = 188 - 188.3. What is the fourth biggest value in -5, 1/3, 0.1, n?
-5
Let c = -140.9 - -145.9. What is the second biggest value in 20/7, 0.04, c?
20/7
Let h be (-45)/35 - (0 + -1). Suppose -3*f = p + 17, -15 = 3*p - 0. What is the smallest value in h, f, -9/2?
-9/2
Let j = -101 - -82. Let i = 18.5 + j. Which is the smallest value? (a) -1/8 (b) -4/5 (c) i
b
Let y = -0.089 - -0.289. Suppose 16 = -p - 5*f + 1, -2*p - 15 = 5*f. Which is the third smallest value? (a) 2/3 (b) y (c) p (d) 0.1
b
Suppose -2*y + 7 - 1 = 0, 3*m + 4*y = 2565. Let q = -1665/2 + m. Let h = 20 - q. Which is the second smallest value? (a) h (b) 5 (c) -2
a
Let k = 1.29 + -1.39. Which is the second smallest value? (a) k (b) 5 (c) 33 (d) -4
a
Let g = 0.05 + -0.35. Let o = -546 - -549. Let s = 0.3 + -0.3. What is the second smallest value in o, s, g?
s
Let h be (-2)/(-2) + (-7)/(-21)*6. Which is the fourth biggest value? (a) -13 (b) h (c) -4 (d) -2/3
a
Let i = 2.668 - -0.332. Which is the third biggest value? (a) -2/11 (b) -3 (c) i (d) 2/3
a
Let u = -608/7 - -87. Let m = -72 + 71.7. What is the third smallest value in u, 0.11, m?
u
Let d = 80 - 127. Let i = 46.8 + d. What is the smallest value in -4, -23, i?
-23
Let b be 6/4 + (-13)/6. What is the fourth smallest value in 4/3, b, -0.4, -1?
4/3
Let b = -5.94 - 0.06. Let h = b + 4.9. Let j = h - -0.7. What is the third biggest value in j, -1, 1?
-1
Let v be 12293/(-114) + 4 + 1. Let i = v + 103. Which is the fourth biggest value? (a) -2.2 (b) -0.1 (c) 3/8 (d) i
a
Let s be 0 + 1 + (-9)/7. Let d = 0.2 + -1.2. Let v = -24.467 + 24.267. Which is the smallest value? (a) s (b) v (c) d
c
Let r = 0.22 + 37.78. Let v = 37.7 - r. Let y = 1.6 - 1.7. What is the smallest value in 0.1, v, y?
v
Let l = 60 + -62.7. Let f = l + 2.4. Let z = -2 - -1.8. Which is the second smallest value? (a) z (b) f (c) -2/7
c
Let u = 0.054 + -6.084. Let f = -0.03 - u. Let z = -5.7 + f. Which is the third smallest value? (a) 0.1 (b) z (c) -0.2
b
Let a = -102.18 + 2.18. Let n = 100 + a. What is the fourth biggest value in n, 4/5, 8, 2/3?
n
Let g = -94.8 + 94.4. Which is the biggest value? (a) g (b) -4 (c) -8 (d) 5
d
Let k = 2.52 - 6.52. Which is the third biggest value? (a) 20 (b) k (c) 3 (d) 2
d
Let q = -36 - -39. Which is the third smallest value? (a) -5 (b) -0.81 (c) -0.2 (d) q
c
Let n = 142 + -137.83. Let w = n + -1.17. Let p = -2/31 + -27/62. Which is the second smallest value? (a) w (b) p (c) -1
b
Let h = 199 + -199.5. What is the smallest value in -4, -3/2, h, -1?
-4
Let d = -0.0642 - 0.0358. Let y be 35/6*(-2)/(-20). Let g = y + -71/60. What is the second biggest value in d, g, -0.4?
-0.4
Let w = 112/793 + -18/61. Which is the smallest value? (a) w (b) -2 (c) -33
c
Let q = 33.7 + -36.7. Which is the second biggest value? (a) 2/15 (b) 2 (c) 1 (d) q
c
Let v = 0.0015 + 55.0785. Let l = v + -55. Which is the smallest value? (a) l (b) 0.1 (c) 5
a
Let l = -39/28 - -8/7. Let p = 1 + -0.96. Let o = p + -0.04. Which is the biggest value? (a) o (b) l (c) 1/5
c
Let p = -0.09 + -0.21. Let z = 226 - 231. What is the fourth biggest value in -1, -3, p, z?
z
Let h = 2/21 - -5/21. Which is the biggest value? (a) 3 (b) h (c) -0.5 (d) 3/4
a
Let t = 29.7 - 30. Let x be (30/8)/(-3) - -1. What is the third smallest value in -0.5, t, x?
x
Suppose -4*g - 201 + 317 = 0. What is the third biggest value in g, -3, 0.5?
-3
Suppose 0 = -152*o + 165*o + 52. What is the third smallest value in 2/29, 3, o, -3/8?
2/29
Let r be -2 + (-1)/(-2)*22. Let n(d) = -d**2 - 11*d + 8. Let l be n(-12). Let x = r + l. What is the third biggest value in -5, -3, x?
-5
Let j = 9185 - 9180. Let q = -1.07 + -0.03. Let l = -2.9 + q. What is the second biggest value in l, j, -3?
-3
Let m be 437/(-1012) - (-1)/4. What is the second biggest value in -1, 0.3, 0.2, m?
0.2
Let g be (-19)/95*5/(-2). What is the second biggest value in -46, 4, g?
g
Suppose 4*b = -5*u + 17, -3*u - 5*b = -7*u - 11. Let d = -10.22 + 0.22. Let w = 9.8 + d. What is the second biggest value in u, -3, w?
w
Let n = 1.48 + 125.52. Let w = 125 - n. What is the smallest value in w, -0.2, 1/6?
w
Let q = 114.4 - 114. What is the third biggest value in q, -6/5, 1?
-6/5
Let n(h) = -h + 1. Let j = 5 + -2. Let d be n(j). Let l be 75/(-140) + d/(-8). What is the third smallest value in l, 1/2, -5?
1/2
Suppose -2*j = n + 13, -4*j + 2*n + 137 = 143. Let w = 3.7 + -4. Which is the second biggest value? (a) -2/21 (b) w (c) j
b
Let i be ((-147)/(-33) - 2) + -3. Let j = 62 - 440/7. Which is the second smallest value? (a) -4 (b) i (c) j
c
Let g = -29.261 - 1.539. Which is the biggest value? (a) g (b) -0.1 (c) 2/13
c
Let h = -19 + 35. Let s be (4/h)/(28/32). Which is the third biggest value? (a) -4 (b) 1/2 (c) s
a
Let n = -2.127 + -0.073. Let s = n - -2.6. Which is the third smallest value? (a) s (b) 2/7 (c) 1
c
Let l = -6.65 + 3.05. Which is the third smallest value? (a) -4 (b) 0 (c) l
b
Let u = -0.28 + -0.02. Let d = -41 - -34. Let s = 9 + d. Which is the biggest value? (a) -0.2 (b) u (c) s
c
Suppose -205 = -i + 911. Suppose -144 = 2*z + 2*z. Let x be (-8)/z + (-176)/i. What is the third smallest value in x, -0.4, -5?
x
Let f = -0.3 + 1.3. Which is the biggest value? (a) -2/173 (b) 3/5 (c) 5 (d) f
c
Let f = 1.42 + -6.78. Let i = f + 0.36. Let w = -0.07 + 4.07. What is the smallest value in i, w, 1/5?
i
Let q = 20.28 - 20.38. Let i = 19 - 15.6. Let w = 0.6 + i. Which is the second biggest value? (a) w (b) 0.5 (c) q
b
Let m = 11485/21 + -547. Let x = -1.3 + 1. Let o be (-182)/140 - 2/10. Which is the third biggest value? (a) x (b) o (c) m
b
Let j = 40 + -28. Let c = -30 + j. What is the third biggest value in 3, c, -0.1?
c
Let h = -4 - -4.6. Let d = 1.1 + -1. Which is the third smallest value? (a) -0.3 (b) d (c) h
c
Let t(z) = -z**3 - 2*z**2 + 29*z + 57. Let v be t(-2). Suppose 2 + 2 = c. Let o = -10 + c. What is the second biggest value in -4, o, v?
-4
Let l be (-1)/(-4)*(-152)/57. Which is the biggest value? (a) l (b) -1 (c) -1/3 (d) -0.05
d
Let l = -0.34 + -0.96. Let s = 0.3 + l. Let j = -397 + 397.3. Which is the second smallest value? (a) s (b) j (c) -2/19
c
Suppose 401 = 50*m + 1. Which is the third biggest value? (a) m (b) -2/5 (c) 4/5 (d) -3
b
Let f = 1.1 - 0.7. Let q = 0.04 + -0.54. Let s = f + q. What is the third biggest value in -0.2, s, 1/2?
-0.2
Let g = 0.13 + -8.13. Let w = 20.8 - 24.8. Let q = w - g. Which is the third biggest value? (a) -2/5 (b) q (c) 5
a
Let x = 1 + 13. Let s = x - 14.3. What is the biggest value in s, 5, 4/5?
5
Let d = -104.5 + 104. Which is the second smallest value? (a) -6 (b) 4 (c) d
c
Let l be -1 + ((-10)/(-14) - 0). Let o = 0.2779 - 0.0779. What is the second smallest value in 9, l, o?
o
Let p = -0.29 - -0.3. Let m = p + -0.81. Let k = m + -1.2. What is the third biggest value in k, 1/3, -3?
-3
Let n = 12.8 + -12.5. Let r = -2.1 - -2. Which is the biggest value? (a) r (b) n (c) -1
b
Let y(n) = 3*n + 2. Suppose 3*l + 3*t - 2 = -5, 3*t = 4*l + 11. Let h be y(l). Which is the second biggest value? (a) h (b) 3/2 (c) 2
b
Let o = 0.024 + 0.176. Let j = 16.3 - 2.3. Which is the third biggest value? (a) o (b) 3 (c) j
a
Suppose -42*m = -39*m - 15. Suppose -m*d = -d - 8, -4*d = -4*a - 64. What is the third biggest value in a, -1/4, -5?
a
Let g = -0.0356 - 3.9644. Let v = -2 + 3.5. Let t = v - 1. Which is the second biggest value? (a) g (b) -1 (c) t
b
Let q = -33.9 - -32. Let g = -1.1 + q. Let h = -3.4 + 3. What is the third biggest value in 2/11, h, g?
g
Let m be ((-2)/5)/(520/(-50) - -8). Which is the biggest value? (a) 3 (b) m (c) 0
a
Let z be (-9)/(-10) - 1 - (-6)/10. Which is the fourth biggest value? (a) 1 (b) 1/4 (c) -0.2 (d) z
c
Suppose 3*z + 14 = 2. Let x be 1/(-6) + (4 - 4). Let s = 5 - 7. What is the third smallest value in s, z, x?
x
Let d = -1.77 + -74.23. Let t = -75.9 - d. What is the second smallest value in t, -2, 0.4?
t
|
{
"pile_set_name": "DM Mathematics"
}
|
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