text
stringlengths 270
8.19k
| meta
dict |
|---|---|
24.6
Add -0.4 and -1152176.
-1152176.4
Sum -0.15691308 and 0.13.
-0.02691308
Add together -0.018 and -11.3323.
-11.3503
Total of -6 and 351414.59.
351408.59
What is 778791 - 0.297?
778790.703
Add together -261 and 107.41392.
-153.58608
What is the distance between 214069346 and 0.5?
214069345.5
What is 7905.6 plus 5996?
13901.6
What is the distance between -1950.75 and -31743?
29792.25
What is -0.2456577003 + -10?
-10.2456577003
What is 0.02574 take away 0.2832488?
-0.2575088
Sum -0.019 and 18.637529.
18.618529
What is 1 minus -2015850?
2015851
Subtract -901 from -23712.
-22811
Calculate 0.1 - -8493.799537.
8493.899537
What is -35676 take away -634?
-35042
-0.192+-47876
-47876.192
Subtract 1287872 from 17956.
-1269916
What is 0.03301 minus 191.409?
-191.37599
Work out -307695 + 1192.1.
-306502.9
What is -1.849955 minus 328?
-329.849955
Add 2.7 and -712252.4.
-712249.7
What is 175 less than 0.15711?
-174.84289
-467408 + 1047.41
-466360.59
Calculate -0.9 - 468203.
-468203.9
Calculate -773780 + -223.22.
-774003.22
What is 6850403 + -0.41?
6850402.59
What is 0.048139 less than 2.32?
2.271861
Add 217210143 and 0.2.
217210143.2
Sum -2254195 and -91.
-2254286
Sum -59.59664 and 196.
136.40336
Work out 10 - 611444305.
-611444295
What is -2 less than -12844964016?
-12844964014
Add together -11600316.48 and -0.6.
-11600317.08
Calculate -1 - 27444240.
-27444241
What is -130.8186 - 18.585?
-149.4036
Sum -306.0849 and 1.7.
-304.3849
What is the difference between -10.502615 and -959?
948.497385
Calculate 0.1 - 786315311.
-786315310.9
Calculate -2351613 + -6.
-2351619
What is 93912.0286 - -1?
93913.0286
What is -878787.7298 plus 7?
-878780.7298
0.89545747 + 0.0402
0.93565747
Total of 87766097.967 and 0.4.
87766098.367
What is the difference between -921.5 and 0.15039?
921.65039
Sum 147403 and 2571.
149974
-0.158142 - -0.3
0.141858
What is -417282 - -37607?
-379675
What is -14851 minus 3459715?
-3474566
What is -61220 take away -0.13538?
-61219.86462
Subtract -0.59 from -838733.
-838732.41
Work out 0.22 + 2.54663.
2.76663
What is -0.061 minus 548105?
-548105.061
Calculate -1942332.41 - 0.1.
-1942332.51
What is the difference between -2113580.958 and 0.04?
2113580.998
Put together 40979 and 420.
41399
Subtract 18.9368 from -50127.
-50145.9368
What is 4869 - -101032?
105901
-68960+790
-68170
What is 44600946.7 less than 0.2?
-44600946.5
What is -4562234 - 772?
-4563006
4730 + -298002
-293272
Put together -73.711367 and -3.
-76.711367
Sum -15901151423 and -0.4.
-15901151423.4
What is -21 less than -1452.5993?
-1431.5993
What is 0.03542 - -9.559?
9.59442
What is 0.1 take away 14697563784?
-14697563783.9
Calculate 24258669 + 1971.
24260640
Put together 0.2538202682 and 1.
1.2538202682
What is 1235103 take away -39?
1235142
Total of -0.5 and 63655136.
63655135.5
1036 + -12286
-11250
Calculate 13256 - 4371.
8885
-21.379922 + -2
-23.379922
What is -0.1 - -0.94113613?
0.84113613
Calculate -55459 - 0.0219457.
-55459.0219457
Put together 0.3 and 167220912.1.
167220912.4
Calculate 404897 + 28.35.
404925.35
Calculate 183962.804 - -43.
184005.804
-11+-126.2697
-137.2697
15.246+0.3309
15.5769
What is the difference between -4 and 18832.32?
18836.32
What is -14126730 + -0.6542?
-14126730.6542
-1855 - -23.947552
-1831.052448
What is -491.425 take away -14.8?
-476.625
What is -213 take away 6773791?
-6774004
What is -87272693 + 4?
-87272689
-134.463027+2.9
-131.563027
Calculate 11 - -112644625.
112644636
Subtract 218 from -118590.
-118808
-3.0839 - 59527.8
-59530.8839
Add -0.1 and 9962424.
9962423.9
Total of -293037 and -74.
-293111
What is -18 minus 0.0967013716?
-18.0967013716
What is -90.435 + 337164?
337073.565
4 - -3.36708406
7.36708406
What is -87.95 + 0.013492?
-87.936508
Work out -2417 + -0.68354771.
-2417.68354771
-2.59 - -31690
31687.41
5714.9136 - 0.3
5714.6136
Calculate -710 + -13563.1.
-14273.1
Calculate -0.5 - 11317908.556.
-11317909.056
Calculate 0.2844 + -826570.
-826569.7156
13115182623+2
13115182625
Sum -0.105 and -76930.
-76930.105
Add -50138 and 0.8.
-50137.2
What is -6 take away 305.5694693?
-311.5694693
Put together 738763772.6 and 0.02.
738763772.62
What is -0.4005005 - 4?
-4.4005005
What is -50352303 less than -0.8?
50352302.2
What is -0.2 minus -0.656157274?
0.456157274
Add -44752334186 and 0.5.
-44752334185.5
Add together 8193133 and 2.
8193135
What is 309 - 74006?
-73697
Add -0.23 and -735657283.
-735657283.23
What is -0.02 less than 160611879?
160611879.02
Add together 97024 and 633.
97657
Calculate 0.5 - 1466.52059.
-1466.02059
What is 2942530 less than -13146?
-2955676
What is -1.78349131 less than -0.72?
1.06349131
What is -39 minus 8979184?
-8979223
Calculate 100.359 + 203.205.
303.564
What is -0.69 minus 5430.5?
-5431.19
Add together -27428 and 31.077.
-27396.923
Add together 1215 and 40707358.
40708573
Sum 309 and -587432.
-587123
Sum 18884 and 3.052.
18887.052
Calculate 21678 - -10848.
32526
Work out -1.4988 - 0.0416382.
-1.5404382
-166+76425.94
76259.94
What is -2.2069 less than -45095.1?
-45092.8931
Subtract -4719787979 from -3.
4719787976
What is the distance between -1 and -1713012?
1713011
Add -8510859 and -0.04.
-8510859.04
What is 4 - -0.17000914?
4.17000914
Calculate -84.412044 - -1.
-83.412044
Put together 380 and 0.064347.
380.064347
What is -28990 plus -1.474?
-28991.474
-51714765 - 1
-51714766
What is the difference between 0.0559 and -3.70955?
3.76545
What is -22 - -62022600?
62022578
Total of -141 and 27.1887.
-113.8113
2.9 + 4444669.01
4444671.91
Total of 0.022103894 and -0.7.
-0.677896106
Add together 3425.1615 and 0.2.
3425.3615
What is -4 + -75064.8087?
-75068.8087
Calculate -594.258 - 748.
-1342.258
3.175822+-0.39
2.785822
Put together -37554.5 and 1062.
-36492.5
What is 20321 minus 10132?
10189
46.8+-122.348
-75.548
What is 14099578 less than -0.032?
-14099578.032
What is 1 minus 31743445?
-31743444
What is the distance between 4 and 1.2748646?
2.7251354
Calculate 0.1 + -4791574.
-4791573.9
What is 911.314791 minus 0.05?
911.264791
Put together 90 and 19689.53.
19779.53
-0.78 + -3887940
-3887940.78
Calculate 155.3365 + 0.134.
155.4705
Put together -2 and 4393.10013.
4391.10013
What is -0.02 + -2514914573?
-2514914573.02
What is the difference between -0.162278 and 0.5?
0.662278
Calculate 130270 - 0.062.
130269.938
What is the difference between -736610 and -12778?
723832
Put together -0.22 and -61297429.6.
-61297429.82
8 - 26082.23788
-26074.23788
Calculate -0.2285 + 2568377.
2568376.7715
What is the difference between 2148.32 and 12?
2136.32
What is -0.6 plus 1160626070?
1160626069.4
What is the distance between -0.046 and 1334164?
1334164.046
What is 0.01938171 take away -0.05?
0.06938171
Subtract -223 from 55545416.
55545639
Calculate -14.02 + -3746.
-3760.02
Work out -159508501 - 0.027.
-159508501.027
What is 447607353 take away 0?
447607353
What is 54.77251 plus 2?
56.77251
Sum 0.39539878 and -49.
-48.60460122
Sum -5996.35 and -20.19.
-6016.54
What is -0.4128587 take away -4836?
4835.5871413
What is 0.651557 + 0.0928?
0.744357
Calculate 0.1 + 184192549.
184192549.1
What is 123.9 plus 1459?
1582.9
Sum -659 and -1134076.
-1134735
Calculate 2 - 76403956.
-76403954
What is 3 less than -0.264329646?
-3.264329646
Work out 4 - -44136.32.
44140.32
What is -1337.97 plus 0.2522?
-1337.7178
What is -74879539 plus -0.29?
-74879539.29
What is the distance between -77592.4 and 6252?
83844.4
Work out -100.33354 - -1.34.
-98.99354
What is -80068.03331 + -9?
-80077.03331
What is 1489629 + 6?
1489635
Total of 1126219.583 and 0.5.
1126220.083
What is 32839 - 1348?
31491
What is 1.4549 - -214698?
214699.4549
What is 206005523.3 plus 16?
206005539.3
What is -0.07421715 less than 2?
2.07421715
What is the difference between 175 and -107303?
107478
0.97+-67514039
-67514038.03
What is -0.1 minus 8688.813339?
-8688.913339
Work out 366051210 + 0.4.
366051210.4
What is the difference between -22.24932454 and 1.8?
24.04932454
-32.15 + -190000.69
-190032.84
What is -70.7 minus 21626311?
-21626381.7
What is the difference between -53944614 and -0.1463?
53944613.8537
What is the distance between 2 and 1451494250?
1451494248
What is -203.7 less than -36.573?
167.127
What is 0.92 + 16499.446?
16500.366
What is the difference between 613295563 an
|
{
"pile_set_name": "DM Mathematics"
}
|
1/6)/m*m)/m)/m**(-2) assuming m is positive.
m**(7/6)
Simplify (c*c/c**(-1/4)*c)**(-6/5) assuming c is positive.
c**(-39/10)
Simplify (b/(b*b*b/b**7))/(b*(b*(b*b**(-15/2))/b*b)/b) assuming b is positive.
b**(21/2)
Simplify (t**0/t)**(-12/11) assuming t is positive.
t**(12/11)
Simplify p**(2/13)/p*(p/p**8)/p*(p*p**(3/4))/p*p**8 assuming p is positive.
p**(-5/52)
Simplify ((b*b/b**(2/9))**(4/5))**(1/3) assuming b is positive.
b**(64/135)
Simplify s**0*(s/s**(1/10))/s*(s*s**(-1))**(-3/5) assuming s is positive.
s**(-1/10)
Simplify (v/(v/(v*v**18*v*v*v)))/(v*v**12) assuming v is positive.
v**9
Simplify ((h/(h**0*h))/h*h**2)/((h**(-2)*h)/h**3) assuming h is positive.
h**5
Simplify (f**(2/7))**14/(f*f**1)**(2/3) assuming f is positive.
f**(8/3)
Simplify (r/(r*r*r*r**(-13)*r))**(-1/58) assuming r is positive.
r**(-5/29)
Simplify (z/(z*z**(12/11)))**(-36) assuming z is positive.
z**(432/11)
Simplify (b**(-7/2)/b*b)**(-24) assuming b is positive.
b**84
Simplify (q**(-7/3)*q*q**9)**(-16) assuming q is positive.
q**(-368/3)
Simplify x**(-6)*x**(5/2) assuming x is positive.
x**(-7/2)
Simplify z**(2/49)*z*z**(3/2)*z assuming z is positive.
z**(347/98)
Simplify (t**(5/2))**(4/3) assuming t is positive.
t**(10/3)
Simplify (f**0/(f**(-9)*f*f))**(3/34) assuming f is positive.
f**(21/34)
Simplify (q**(-2/7))**(2/51)/(q/q**(-1/3)*q)**(-3) assuming q is positive.
q**(2495/357)
Simplify s*s**(7/6)*s/(s*s**(9/7)*s) assuming s is positive.
s**(-5/42)
Simplify (j/(j/(j**(-2)/j)))**(2/37) assuming j is positive.
j**(-6/37)
Simplify k**9*k/k**(-8)*(k**3)**(1/52) assuming k is positive.
k**(939/52)
Simplify (((i/(i*i/(i/(i**(2/11)/i*i*i)*i)))/i)**(-34/7))**1 assuming i is positive.
i**(442/77)
Simplify (j**(-18)*j*j**(-15))**(-1) assuming j is positive.
j**32
Simplify f**(1/10)/(f*f**6)*(f/(f*(f*f/f**(-2))/f*f)*f)/(f*f**(4/5)) assuming f is positive.
f**(-117/10)
Simplify ((h*h**(-8)*h)**(1/40))**(-7) assuming h is positive.
h**(21/20)
Simplify ((r**1)**45)**45 assuming r is positive.
r**2025
Simplify m**(1/3)/(m*m*(m**(-2/13)/m)/m) assuming m is positive.
m**(19/39)
Simplify h**(-16)*h**(5/3) assuming h is positive.
h**(-43/3)
Simplify r**26*r*r**(-30) assuming r is positive.
r**(-3)
Simplify (z**(-4)/(((z*z**(-1/6))/z)/z))/(z/((z**(1/2)/z)/z*z)*z/(z*((z*z**9)/z*z)/z)*z) assuming z is positive.
z**(11/3)
Simplify ((v*v/v**0)**7)**25 assuming v is positive.
v**350
Simplify u**(2/5)/((u**(-1/6)*u)/u)*(u/(u/u**(3/4)))/u**(-1/3) assuming u is positive.
u**(33/20)
Simplify (((g*g/(g/(g**(5/4)/g)))/g*g)/(g/(g**(9/2)/g)))**31 assuming g is positive.
g**(465/4)
Simplify p**(-16/7)*p**(4/7) assuming p is positive.
p**(-12/7)
Simplify i*i**(2/19)*i*i**7*i**(6/7)*i/(i/(i/(i*i**8))) assuming i is positive.
i**(261/133)
Simplify f*f*f**(-3/5)*f**(-2/13)/f*f*(f*(f*f*f**(-1))/f)**24 assuming f is positive.
f**(1641/65)
Simplify (p/(p*p/(p**(-4)/p)))/p*p*p/(p/(p*p**5)*p)*((p**(-2/3)*p*p)/p*p)/p**5 assuming p is positive.
p**(-14/3)
Simplify f**(-24)*f/(f*f**(-22))*f assuming f is positive.
1/f
Simplify (q*q/(q*q**(-8/9)*q*q)*q)/q**(-3/7) assuming q is positive.
q**(83/63)
Simplify ((c/c**(7/2))/c)**(4/9) assuming c is positive.
c**(-14/9)
Simplify ((u*(u*u/(u/u**(1/9)))/u)/u)/(u/((u/u**(-2/25))/u)*u) assuming u is positive.
u**(-407/225)
Simplify r*r**(4/3)*r**(-3) assuming r is positive.
r**(-2/3)
Simplify u**5*u**(2/3)*(u**0)**(16/9) assuming u is positive.
u**(17/3)
Simplify p*p**0*p**(-3)/p*(p*p**0/p)**(-3/28) assuming p is positive.
p**(-3)
Simplify (a**(2/29))**(-1/72) assuming a is positive.
a**(-1/1044)
Simplify (y/(y**(-2/5)*y*y))**(-4/35) assuming y is positive.
y**(12/175)
Simplify x**8/x*x**(-3)*x*x**7/x*x/(x*(x*((x**(-1)*x)/x)/x)/x) assuming x is positive.
x**13
Simplify (s*s**(12/11)*s*s**(-1/6))**48 assuming s is positive.
s**(1544/11)
Simplify i**(-3/16)/(i*i**(-11)*i*i) assuming i is positive.
i**(125/16)
Simplify (x**(1/2))**37/(x/((x*(((x/(x/(x*x**(-3/2)*x)*x))/x)/x)/x*x)/x)*x*(x/x**(-1/2))/x) assuming x is positive.
x**(27/2)
Simplify ((((v**(-1/3)/v)/v)/v)/v)/(v*v*v/v**(-14)) assuming v is positive.
v**(-64/3)
Simplify (l**(-1/3)*l*l**(3/4))**(-5/2) assuming l is positive.
l**(-85/24)
Simplify (r/r**1)**(2/5)*r*(r*r**(-4))/r*r*(r/((r*(r/(r*(r/r**(1/2))/r*r))/r*r)/r)*r)/r*r assuming r is positive.
sqrt(r)
Simplify (x**6/(x*x**(-4/5)))/((x*x**(3/10)/x)/x*x**(-7)/x) assuming x is positive.
x**(29/2)
Simplify (o/(o**4*o))/o**(5/6) assuming o is positive.
o**(-29/6)
Simplify a**(4/3)*a*a**(5/8)/a assuming a is positive.
a**(47/24)
Simplify (l*l/((l*l*l*l/l**(-11)*l)/l))/l**(2/19) assuming l is positive.
l**(-249/19)
Simplify y*y/y**(-9)*y*y*y/(y*y**(-31)*y)*y assuming y is positive.
y**44
Simplify (((s*s**(-1/6)*s)/s)/s)**(3/2) assuming s is positive.
s**(-1/4)
Simplify (m*m*m**0*m)**(-33)/(m**(-6)*m*m**1) assuming m is positive.
m**(-95)
Simplify (v*v/v**(-1/3))**(1/12) assuming v is positive.
v**(7/36)
Simplify (l*l*l/(l*l**(-7))*l)/(l/((l/l**(-5/6))/l)*l*l) assuming l is positive.
l**(47/6)
Simplify (z/(z*z**(-2/3)))**(2/7)/((z/z**(-4))/z*z*z**(2/31)*z) assuming z is positive.
z**(-3824/651)
Simplify (x*(x**0*x)/x)**(-10)*x*x*x*x*x*(x*(x**(-1)*x*x)/x)/x*x*x**(2/9) assuming x is positive.
x**(-34/9)
Simplify (v/v**(-1/3))**(6/19)*(v**(-2/5))**(-21) assuming v is positive.
v**(838/95)
Simplify ((p**(-2))**(10/3))**(2/13) assuming p is positive.
p**(-40/39)
Simplify y**0/y*y**(2/17)*y**(-2/15)*y*y*y**(1/6) assuming y is positive.
y**(587/510)
Simplify g**(-20)*g*g*(g*((g*g/((g/g**(8/7)*g)/g*g)*g)/g)/g)/g*g*g assuming g is positive.
g**(-111/7)
Simplify y**(-1/5)/y**(-4/13) assuming y is positive.
y**(7/65)
Simplify ((l*l*l**(-6/19)*l)/l)**(-21) assuming l is positive.
l**(-672/19)
Simplify (a*(a*a**(2/3))/a*a**(-5)*a)/(a**1)**(-15/4) assuming a is positive.
a**(17/12)
Simplify (z**2)**(1/6)*(z**1)**(-3/25) assuming z is positive.
z**(16/75)
Simplify x**6/(x/(x/(x/(x/(x/(x/(x*x/(x*x/x**6))*x)*x))))) assuming x is positive.
1
Simplify ((h*h**(2/5))/h)/h*h*h*h**26/h assuming h is positive.
h**(132/5)
Simplify v/(v/(v/(v/(v/v**(-4)*v))*v))*v/v**(-3) assuming v is positive.
v**11
Simplify (y*y**(-7)/y*y)/(y/(y/y**(5/6)*y)) assuming y is positive.
y**(-35/6)
Simplify ((n**(-2/3))**(-17/5))**39 assuming n is positive.
n**(442/5)
Simplify (h**4*h*h)/h*h**(-42) assuming h is positive.
h**(-37)
Simplify c**(-1)/c*c**(3/7)/c*(c*c**(-1/2)/c*c)/(((c/(c*c*c**(-9)))/c)/c*c) assuming c is positive.
c**(-127/14)
Simplify (t**(2/7)*t*t**(1/9))**(-43) assuming t is positive.
t**(-3784/63)
Simplify j**6/(j**0/j)*(j/(j*j*(j/(j*j**0))/j*j*j)*j*j)**(2/23) assuming j is positive.
j**7
Simplify (l**(1/3)/l)**(-14)/(l**5*l**(-1/2)) assuming l is positive.
l**(29/6)
Simplify (y/(y**(-2/13)/y))/y**(-2/33) assuming y is positive.
y**(950/429)
Simplify (t**(1/8)*t)**(3/4) assuming t is positive.
t**(27/32)
Simplify (l**(-6)/l*l**(-1/4))/(l**1*l**1) assuming l is positive.
l**(-37/4)
Simplify (m**(1/4)/m)/m**0 assuming m is positive.
m**(-3/4)
Simplify (c**2/c*(c*c**(1/4)*c)/c*c)**(-31) assuming c is positive.
c**(-403/4)
Simplify ((j*j/(j*j**(-2/9))*j)/j)**(-47) assuming j is positive.
j**(-517/9)
Simplify (h**2)**10*(h/(h/(h**(-10/7)*h*h*h)))/h*h*h**0 assuming h is positive.
h**(151/7)
Simplify (t*t**(-4/5)*t)**(34/7) assuming t is positive.
t**(204/35)
Simplify (a*a**(-7/4))**(-5) assuming a is positive.
a**(15/4)
Simplify (k/(k*k**(-2)))**(-1/35)/((k**7*k)/k**3) assuming k is positive.
k**(-177/35)
Simplify ((q/(q**(2/3)*q))/q)/(q/((q*q**(-1/7)*q*q*q)/q*q)) assuming q is positive.
q**(25/21)
Simplify (i/(i*i/i**(-11)))/(i/(i/((i/i**(-16))/i))) assuming i is positive.
i**(-28)
Simplify m**(-32)/m*m/(((m/(m/m**(-15)*m))/m)/m) assuming m is positive.
m**(-14)
Simplify r**14/(r**(3/2)/r) assuming r is positive.
r**(27/2)
Simplify (((i*i/(i/((i/i**1)/i)*i))/i)/i**(-2/7))/(i**(-2/7)/(i**(5/2)/i)) assuming i is positive.
i**(1/14)
Simplify h**(1/7)*(h**(-7)*h)/h*h*h*(h/(h**(-1/9)*h))/h*h**(-2) assuming h is positive.
h**(-488/63)
Simplify (d**(2/7)*d)**(-43)/(d**(-1)/d)**(-7/8) assuming d is positive.
d**(-1597/28)
Simplify (t/t**(-2/7))**(-11)/(t**0)**(-2) assuming t is positive.
t**(-99/7)
Simplify ((v*v**(-3/2))/(v/(v*v/(v*v*v*v/v**(3/7)*v))))**(-33) assuming v is positive.
v**(1881/14)
Simplif
|
{
"pile_set_name": "DM Mathematics"
}
|
e greatest common factor of a and 5.
5
Let l = -696 - -732. Calculate the greatest common divisor of 438 and l.
6
Let y(b) = -91*b**3 + 2*b**2 + b. Let p be y(-1). Let t(z) = 215*z + 1958. Let q be t(-9). What is the greatest common divisor of p and q?
23
Let g(q) = 7*q - 9. Let u be g(7). Let f = 2537 + -2497. What is the highest common factor of u and f?
40
Suppose 0 = -2*d + 8 + 52. Let o be (-1)/((-272)/90 + -1 + 4). Calculate the greatest common divisor of d and o.
15
Let z be 5181/9 - (8 - (-125)/(-15)). Calculate the highest common factor of z and 9.
9
Let r = -3849 - -6964. What is the highest common divisor of 35 and r?
35
Let u(q) = 121*q - 8. Let h be u(4). What is the greatest common divisor of 28 and h?
28
Suppose -124*f + 117*f = -126. Calculate the greatest common factor of f and 54.
18
Suppose f = 6*f - 80. Suppose 0 = -n - 5*u - 16, -u - f = 3*u. Suppose -80 = -n*y - 4*c, 5*y - 62 - 29 = 4*c. What is the highest common factor of 38 and y?
19
Let h be (-5 + 16)*((-1 - -21) + -1). Calculate the highest common factor of h and 19.
19
Suppose 299 = -k + 4*k + 2*l, -l - 204 = -2*k. Let a = 186 - k. Calculate the highest common factor of a and 34.
17
Suppose 0*y + y + 2*d - 30 = 0, 4*y + d = 155. Calculate the highest common factor of y and 15.
5
Let v(g) = -2 + 1 + 0 + 31*g**2 - 6*g**2 - g. Let y be v(-1). Suppose -1 = -5*o - 3*a, 0 = 2*o + 3*o - 5*a - y. Calculate the greatest common factor of o and 4.
2
Suppose -17*f = -45*f + 5152. Suppose -3*h = -h - 46. Calculate the greatest common divisor of f and h.
23
Suppose 54*x - 1872 = 48*x. Calculate the greatest common divisor of 39 and x.
39
Let h = 119 + -113. What is the greatest common factor of 174 and h?
6
Let i(x) = 2*x**2 - 44*x + 3. Let q be i(22). Suppose -2*w + 73 = 3*f, 2*w + 30 = q*w - 5*f. Calculate the highest common factor of w and 7.
7
Let n = -153 + 233. Suppose 6*b + 197 = 257. What is the greatest common divisor of b and n?
10
Let w = -39 - -43. Suppose -4*u + 2184 = w*u. Calculate the greatest common divisor of 13 and u.
13
Let r(p) = 59*p + 1. Let j be r(1). Let z(y) = y**2 - 5*y + 14. Let n be z(6). Calculate the greatest common factor of n and j.
20
Suppose -2*r = 3*r - 60. Let v(y) = 7 + 15 + 2*y + y - 4*y. Let u be v(r). What is the highest common factor of u and 5?
5
Let z(r) = 9 - 5*r + 12*r - 8*r. Let a be z(3). Let u(h) = h**2 + 4*h - 1. Let m be u(-5). What is the greatest common divisor of m and a?
2
Let c(m) = m**3 - 19*m**2 + 63*m - 15. Let v be c(15). Calculate the greatest common divisor of v and 45.
15
Let l = 1 - -2. Suppose 0 = l*h - 14 + 47. Let m be -1 - (-2 + 0) - h. What is the greatest common divisor of 108 and m?
12
Suppose -5*z = 5*x - 80, -47 = -17*z + 15*z - 5*x. What is the highest common factor of z and 8?
1
Let g be (-4)/2*-3*(-3)/(-9). Suppose 2*r - 14 = -g. Let t = -3 - -21. What is the greatest common factor of t and r?
6
Let l be 24/10*40/12. Let f = -16 - -17. Suppose -3*z = u - 5*u + 4, -u - 3*z = -f. What is the highest common factor of l and u?
1
Suppose 38 = z - 13*v + 10*v, 0 = -2*z - v + 48. What is the greatest common factor of z and 234?
26
Let j be 12 - (-840)/(1 + 9). Calculate the highest common factor of 48 and j.
48
Let a = -2 + 1. Let c be a + (1 - 3) - -15. Suppose 10 - c = -2*s. What is the greatest common divisor of 11 and s?
1
Suppose -4*o + 2*n = -n - 183, -3*n - 228 = -5*o. Let m be (9/(-2))/((-69)/460). Calculate the greatest common factor of m and o.
15
Let j be 4 - (-3 + -7 + -2). What is the highest common factor of j and 16?
16
Suppose r - 187 = 3*w + 29, -2*r = -w - 432. What is the highest common divisor of r and 540?
108
Suppose 52*m - 48*m - 440 = 0. What is the greatest common factor of m and 30?
10
Suppose -4*h - 2*s + 6*s + 308 = 0, -400 = -5*h + 2*s. What is the highest common factor of h and 1066?
82
Suppose -h = -62 + 44. Let m = 156 - 107. Suppose 5*o = 5*s + 40, 0*s = 5*o + 4*s - m. What is the highest common divisor of o and h?
9
Let x be (-1086)/(-17) + -9 + 1395/153. Calculate the highest common divisor of 160 and x.
32
Let s = -707 + 1880. Calculate the highest common factor of s and 69.
69
Let n(l) be the second derivative of -l**3/6 + 2*l. Let v be n(14). Let q be (-11)/(77/18)*v. What is the greatest common factor of q and 9?
9
Suppose 2*l - l = 5*b - 58, 2*l = -6. Let p be 790/8 + (-2)/8 + (-22)/(-44). What is the greatest common factor of b and p?
11
Let i be (2 - -1)/(9/12). Suppose 19 = -i*s + 55. Let n be (-9)/2*((-35)/(-7) + -15). Calculate the greatest common divisor of s and n.
9
Suppose 9*x - 2*x = -294. Let z be (-15)/x*-4*(6 - 13). Let q(d) = 2*d**3 - 5*d**2 - 4*d + 5. Let v be q(5). Calculate the greatest common factor of v and z.
10
Let q(r) = 2*r**2 - 73*r + 477. Let d be q(29). Suppose w = -5*l + 29, -7*l + 40 = 2*w - 3*l. What is the greatest common factor of w and d?
14
Suppose 0 = -2*w - 3*n + 113, -4*n + n + 223 = 4*w. Let f = -45 + w. What is the greatest common factor of 25 and f?
5
Suppose 8*q - 5*q + 1938 = 3*s, 5*q + 2586 = 4*s. Calculate the highest common factor of 28 and s.
28
Suppose -2*n - 284 = -2*w - 2376, -3*n = 5*w - 3170. Calculate the highest common divisor of 126 and n.
42
Let y be (-25)/(-5) - (-2 - -1). Suppose 7*s + 622 = y*s. Let c = -413 - s. Calculate the highest common factor of 19 and c.
19
Let j be (2 - (-91 + -6))/(3/2). Calculate the greatest common factor of 88 and j.
22
Let k = 648 - 616. Calculate the highest common divisor of k and 592.
16
Suppose 25*i - 120 = 20*i. Let v be 60/6 - 2/(-1). Calculate the highest common factor of v and i.
12
Let z be 1*103 - (0 - 2). Suppose 20*s - 25*s + 20 = 0. Suppose -d = -5*r - 3*d + 97, -s*r = 5*d - 64. Calculate the greatest common factor of z and r.
21
Suppose 3*r = -24 - 72. Let p = r + 60. Suppose 0*m = 6*m - 84. Calculate the highest common divisor of p and m.
14
Let t = -4 + 24. Suppose -3*d = 4*d - 56. Suppose d*v = 25 + 7. Calculate the highest common divisor of t and v.
4
Let c = 706 + -451. What is the highest common factor of c and 816?
51
Suppose 5*k - 31 + 1516 = 0. Let d = -76 - k. Let t = d + 9. What is the highest common divisor of t and 23?
23
Let h = 808 - 424. What is the highest common factor of h and 24?
24
Let h be 1/10 + 64539/1010. What is the greatest common factor of 2752 and h?
64
Suppose 4*i - m - 250 = 0, -i - 4*m = -54 - 0. What is the highest common factor of i and 1?
1
Let l(n) = -n + 8. Suppose 2*p - 4*i = -3*p - 10, 0 = -2*p + i - 7. Let c = p - -13. Let y be l(c). What is the highest common factor of 1 and y?
1
Let h(s) = 2*s**2 + 24*s + 50. Let c be h(-2). What is the highest common divisor of 590 and c?
10
Suppose 4*x - 2*b = -8 + 32, 12 = 2*x - 4*b. Let d = x + 99. What is the greatest common divisor of d and 21?
21
Let v(m) = -16 + 2*m + 6*m**2 + m**3 + 0*m**3 + 16. Let k be v(-5). What is the greatest common factor of 165 and k?
15
Suppose -8*s + 985 = 201. What is the greatest common divisor of 245 and s?
49
Let u be -7*-3*(-2)/6. Let t(i) = i**2 + 4*i - 12. Let k be t(u). What is the greatest common factor of k and 9?
9
Suppose -21*c = -580 + 160. Calculate the highest common factor of c and 940.
20
Suppose 5*w + 6*x - x = 530, 2*x - 420 = -4*w. Suppose 4*a - 57 - 47 = 0. Calculate the greatest common divisor of w and a.
26
Let n be (2 + 1 + -2)*-61. Let g = n - -97. What is the greatest common divisor of 54 and g?
18
Let u(b) = b + 28. Let k be u(-23). Suppose -3*a = k*n - 25, -a = 4*a. Calculate the highest common factor of 35 and n.
5
Suppose -p + 2 = -52. Suppose 5*i = -43*i + 288. Calculate the greatest common factor of p and i.
6
Let n = 1182 - 633. Calculate the greatest common factor of n and 61.
61
Let h be ((-23)/(-3))/((-1)/(-3)). Suppose 3*d = -5*r + 48, -d + 0*d = 4. Let l(s) = 2*s - 1. Let z be l(r). Calculate the highest common divisor of z and h.
23
Suppose 3*b + 5*a - 688 = 0, 4*b + b - 1176 = -a. Calculate the highest common divisor of b and 4.
4
Let m(t) = -t**2 - t**2 + 6 - t**3 - 2 + 3*t. Let z = -337 + 333. Let k be m(z). What is the greatest common divisor of k and 8?
8
Suppose 4 = -5*w + 134. Let o = w + -20. Let g be (o/9)/(4/6). What is the highest common factor of g and 8?
1
Let k(s) = -4*s + 4 + 19 + 3. Let x be k(-11). Let i
|
{
"pile_set_name": "DM Mathematics"
}
|
e l so that l**2 + 348*l + 30276 = 0.
-174
Let -12*q**4 + 68*q**3 - 112*q**2 + 48*q = 0. Calculate q.
0, 2/3, 2, 3
What is s in 21*s**5 - 297*s**4 - 2283*s**3/7 + 5715*s**2/7 + 3000*s/7 - 4500/7 = 0?
-10/7, 1, 15
Find i, given that 4*i**5 + 119*i**4 - 554*i**3 + 803*i**2 - 440*i + 68 = 0.
-34, 1/4, 1, 2
Factor -4*n**2 + 152*n - 148.
-4*(n - 37)*(n - 1)
Determine x, given that 4*x**4 - 8*x**3 - 32*x**2 + 72*x - 36 = 0.
-3, 1, 3
Let 128*y**3/7 + 864*y**2/7 - 6270*y/7 - 6050 = 0. What is y?
-55/8, 7
Factor 500*v**4/3 - 10900*v**3/3 - 4520*v**2 - 5488*v/3 - 736/3.
4*(v - 23)*(5*v + 2)**3/3
What is i in -16*i**4 - 172*i**3 - 260*i**2 - 68*i + 36 = 0?
-9, -1, 1/4
Let 2*k**3 - 112*k**2 - 350*k - 236 = 0. What is k?
-2, -1, 59
What is r in 4*r**5/3 + 16*r**4 + 64*r**3 + 328*r**2/3 + 84*r + 24 = 0?
-6, -3, -1
Determine k so that k**2/4 + 4*k + 16 = 0.
-8
Factor -5*r**2 + 355*r - 350.
-5*(r - 70)*(r - 1)
Find h such that -100*h**3 - 608*h**2 - 48*h = 0.
-6, -2/25, 0
Factor -4*b**3 - 8*b**2 + 20*b + 24.
-4*(b - 2)*(b + 1)*(b + 3)
Factor 729*z**4 - 2079*z**3 + 1138*z**2 + 204*z + 8.
(z - 2)*(z - 1)*(27*z + 2)**2
Factor 3*v**3/2 + 138*v**2.
3*v**2*(v + 92)/2
Factor 5*s**3 - 11*s**2 + 6*s.
s*(s - 1)*(5*s - 6)
Solve b**5/2 - 7*b**4 - 23*b**3/2 + 404*b**2 - 160*b - 6400 = 0 for b.
-5, 8
Let 2*s**2/9 + 1480*s/9 + 273800/9 = 0. Calculate s.
-370
Factor -5*m**2/3 + 95*m/3 + 70.
-5*(m - 21)*(m + 2)/3
Factor 3*i**4 - 9*i**3 + 9*i**2 - 3*i.
3*i*(i - 1)**3
Solve -5*n**2 + 5*n + 30 = 0.
-2, 3
Let -3*w**4/2 - 255*w**3 - 30459*w**2/2 - 373320*w - 3214944 = 0. Calculate w.
-61, -24
Factor 4*p**3/3 + 4*p**2 + 8*p/3.
4*p*(p + 1)*(p + 2)/3
Factor -4*b**3 + 436*b**2 - 12508*b + 33708.
-4*(b - 53)**2*(b - 3)
Find n, given that 3*n**5/5 + 12*n**4/5 - 57*n**3/5 - 138*n**2/5 - 72*n/5 = 0.
-6, -1, 0, 4
Determine a so that -a**4 - a**3 + 22*a**2 + 40*a = 0.
-4, -2, 0, 5
Suppose o**3 - 259*o**2 - 521*o - 261 = 0. What is o?
-1, 261
Factor -3*r**3 - 960*r**2 - 75831*r + 155526.
-3*(r - 2)*(r + 161)**2
Factor -2*f**3/23 - 108*f**2/23 - 376*f/23 + 1200/23.
-2*(f - 2)*(f + 6)*(f + 50)/23
Factor 2*m**3/13 - 4*m**2/13 - 160*m/13.
2*m*(m - 10)*(m + 8)/13
Factor -3*r**2 + 180*r - 177.
-3*(r - 59)*(r - 1)
Determine w, given that -5*w**4 + 800*w**3 + 4920*w**2 + 9920*w + 6640 = 0.
-2, 166
Factor 12*y**3 - 224*y**2 + 348*y - 136.
4*(y - 17)*(y - 1)*(3*y - 2)
Factor b**2 + 38*b + 37.
(b + 1)*(b + 37)
Factor 3*l**3/2 + 1185*l**2/2 + 7029*l/2 + 10503/2.
3*(l + 3)**2*(l + 389)/2
Factor 4*s**2 + 332*s.
4*s*(s + 83)
Factor -3*s**3/2 - 24*s**2 - 45*s/2.
-3*s*(s + 1)*(s + 15)/2
Suppose 2*t**5/17 + 6*t**4/17 - 2*t**3/17 - 6*t**2/17 = 0. Calculate t.
-3, -1, 0, 1
Factor -2*z**2/9 + 56*z/9 + 64.
-2*(z - 36)*(z + 8)/9
Factor 5*x**3 + 15*x**2 + 15*x + 5.
5*(x + 1)**3
Factor 3*y**3 - 108*y**2 + 693*y - 588.
3*(y - 28)*(y - 7)*(y - 1)
Solve -i**2/4 + 3*i - 9 = 0 for i.
6
Factor b**2/7 - 9*b/7.
b*(b - 9)/7
Factor s**2 - 4842*s + 5861241.
(s - 2421)**2
Factor 978121*n**2/5 - 3956*n/5 + 4/5.
(989*n - 2)**2/5
Solve -12*b**4 + 19*b**3 + 22*b**2 - 19*b - 10 = 0 for b.
-1, -5/12, 1, 2
Solve q**2 + 353*q/3 - 118/3 = 0 for q.
-118, 1/3
Factor -4*o**4/9 + 40*o**3/9 - 12*o**2 + 8*o.
-4*o*(o - 6)*(o - 3)*(o - 1)/9
Find q, given that 2*q**3/17 + 8*q**2/17 + 8*q/17 = 0.
-2, 0
Suppose p**2/4 - 7*p/4 + 3 = 0. Calculate p.
3, 4
Let -2*g**3 + 18*g**2 - 52*g + 48 = 0. What is g?
2, 3, 4
Find s such that -s**3 - 36*s**2 - 405*s - 1458 = 0.
-18, -9
Find r, given that -15*r**4/2 - 113*r**3/3 - r**2/2 + 5*r/3 = 0.
-5, -2/9, 0, 1/5
Solve -4*j**2/5 + 4*j/5 = 0.
0, 1
What is s in -9*s**3 + 714*s**2 + 1209*s + 486 = 0?
-1, -2/3, 81
Let -5*s**5 - 25*s**4 - 35*s**3 + 5*s**2 + 40*s + 20 = 0. Calculate s.
-2, -1, 1
Solve 2*h**3/13 - 160*h**2/13 + 2666*h/13 + 22188/13 = 0 for h.
-6, 43
Let 12*o**2 + 321*o - 81 = 0. Calculate o.
-27, 1/4
Let 2*y**3/11 - 4*y**2/11 - 10*y/11 + 12/11 = 0. What is y?
-2, 1, 3
Suppose -3*c**4 - 249*c**3 - 5289*c**2 - 5043*c = 0. Calculate c.
-41, -1, 0
Factor 15*a**3/7 + 2*a**2 - a/7.
a*(a + 1)*(15*a - 1)/7
Suppose -27*j**4 + 681*j**3 - 1311*j**2 - 1605*j + 414 = 0. Calculate j.
-1, 2/9, 3, 23
Suppose 5*s**3 + 135*s**2 + 120*s - 260 = 0. What is s?
-26, -2, 1
Let -5*q**2 - 225*q = 0. Calculate q.
-45, 0
Suppose -x**5 - 3*x**4 + x**3 + 7*x**2 - 4 = 0. What is x?
-2, -1, 1
Determine j so that j**5/4 - 5*j**4/4 - 15*j**3/4 + 5*j**2/4 + 7*j/2 = 0.
-2, -1, 0, 1, 7
Suppose 10*o**3 + 295*o**2 + 145*o = 0. What is o?
-29, -1/2, 0
Let 4*v**5 - 36*v**4 - 884*v**3 + 36*v**2 + 880*v = 0. What is v?
-11, -1, 0, 1, 20
Find h such that -4*h**5/3 + 44*h**4/3 + 287*h**3/3 + 508*h**2/3 + 316*h/3 + 64/3 = 0.
-2, -1/2, 16
Factor 2*l**3 - 188*l**2 + 902*l - 1068.
2*(l - 89)*(l - 3)*(l - 2)
Factor 2*v**4/3 - 1388*v**3/5 + 1664*v**2/15.
2*v**2*(v - 416)*(5*v - 2)/15
Factor -3*w**3/5 + 99*w**2/5 + 42*w.
-3*w*(w - 35)*(w + 2)/5
Suppose 3*u**2/7 - 78*u/7 - 24 = 0. What is u?
-2, 28
Factor -3*d**4 + 24*d**3 - 63*d**2 + 66*d - 24.
-3*(d - 4)*(d - 2)*(d - 1)**2
Factor -2*d**4/7 + 1004*d**3/7 - 286*d**2 + 1000*d/7.
-2*d*(d - 500)*(d - 1)**2/7
Factor -2*w**3/3 - 1832*w**2/3 + 2*w/3 + 1832/3.
-2*(w - 1)*(w + 1)*(w + 916)/3
Factor 472*v**2 - 946*v + 4.
2*(v - 2)*(236*v - 1)
Solve -6*u**4 + 1102*u**3 - 55486*u**2 + 435522*u + 151380 = 0 for u.
-1/3, 10, 87
Factor -5*m**5 + 15*m**4 - 15*m**3 + 5*m**2.
-5*m**2*(m - 1)**3
Let -n**2/4 - 67*n/4 - 204 = 0. Calculate n.
-51, -16
Factor -7396*z**2 + 3440*z - 400.
-4*(43*z - 10)**2
Suppose u**3 + 21*u**2 + 39*u + 19 = 0. What is u?
-19, -1
Factor -32*a**2/7 + 76*a - 1308/7.
-4*(a - 3)*(8*a - 109)/7
Determine i so that -i**4 + 34*i**3 - 320*i**2 + 542*i - 255 = 0.
1, 15, 17
Factor -4*q**4 - 112*q**3 + 12*q**2 + 344*q + 224.
-4*(q - 2)*(q + 1)**2*(q + 28)
Factor w**4 - 53*w**3 - 224*w**2 - 228*w.
w*(w - 57)*(w + 2)**2
Factor 2*n**3/17 - 2046*n**2/17 + 4086*n/17 - 2042/17.
2*(n - 1021)*(n - 1)**2/17
Suppose -q**3 + 173*q**2/3 + 20*q - 116/3 = 0. Calculate q.
-1, 2/3, 58
Let 2*h**3/3 - 52*h**2/3 + 30*h + 48 = 0. What is h?
-1, 3, 24
Solve 32*v**4/7 - 80*v**3 + 274*v**2/7 - 34*v/7 = 0.
0, 1/4, 17
Solve 2*s**3/23 + 2292*s**2/23 + 875544*s/23 + 111485936/23 = 0.
-382
Factor -i**4/4 + 199*i**3/4 - 591*i**2/4 + 589*i/4 - 49.
-(i - 196)*(i - 1)**3/4
Factor 12*h**3 + 322*h**2 - 390*h + 56.
2*(h - 1)*(h + 28)*(6*h - 1)
Solve -n**2 + 9*n + 36 = 0 for n.
-3, 12
Let -3*c**4 - 156*c**3 - 1866*c**2 + 4212*c - 2187 = 0. Calculate c.
-27, 1
Factor 2*n**3/5 + 4*n**2/5 - 14*n/5 + 8/5.
2*(n - 1)**2*(n + 4)/5
Suppose -2*h**3/7 + 22*h**2 - 64*h + 296/7 = 0. Calculate h.
1, 2, 74
Factor -2*t**3/9 - 34*t**2/9 - 158*t/9 - 14.
-2*(t + 1)*(t + 7)*(t + 9)/9
Suppose 25*s**4 + 95*s**3 + 114*s**2 + 52*s + 8 = 0. What is s?
-2, -1, -2/5
Factor -t**4 + 5*t**3 + 3*t**2 - 45*t + 54.
-(t - 3)**2*(t - 2)*(t + 3)
Suppose -3*f**5 + 9*f**4 + 114*f**3 - 576*f**2 + 672*f = 0. Calculate f.
-7, 0, 2, 4
Factor o**2/4 - 273*o/2.
o*(o - 546)/4
Suppose -2000*v**3 - 1800*v**2 + 195*v - 5 = 0. What is v?
-1, 1/20
Find i such that -2*i**2 + 24*i/7 + 8/7 = 0.
-2/7, 2
Factor 2*s**3/5 - 422*s**2/5 - 858*s/5 + 1278/5.
2*(s - 213)*(s - 1)*(s + 3)/5
Factor -4*z**3 - 408*z**2.
-4*z**2*(z + 102)
Factor -53*z**2 + 7*z.
-z*(53*z - 7)
Find k such that -k**3/2 - 63*k**2/2 - 480*k + 512 = 0.
-32, 1
Solve -2*z**2/3 - 4*z - 10/3 = 0.
-5, -1
Factor -2*i**5 + 7*i**4 - 4*i**3 - 4*i**2.
-i**2*(i - 2)**2*(2*i + 1)
Factor 4*f**3/9 - 388*f**2/9 - 788*f/9 - 44.
4*(f - 99)*(f + 1)**2/9
Find m such that 4*m**2 + 752*m + 748 = 0.
-187, -1
Let 4*d**3 + 60*d**2 - 4*d - 60 = 0. What is d?
-15, -1, 1
Factor -f**4 + 9*f**3 - 15*f**2 + 7*f.
-f*(f - 7)*(f - 1)**2
Factor 58564*m**3 + 59532*m**2 + 972*m + 4.
4*(m + 1)*(121*m + 1)**2
Factor 9*z**4 + 33*z**3 - 72*z**2 - 60*z.
3*z*(z - 2)*(z + 5)*(3*z + 2)
Factor 2*s**3 + 278*s**2 + 796*s - 2720.
2*(s - 2)*(s + 5)*(s + 136)
Determine q so that -10*q**2 - 32*q/5 = 0.
-16/25, 0
Find i such that -10*i**3/11 - 6*i**2/11 + 24*i/11 - 8/11 = 0.
-2, 2/5, 1
Factor -k**5/3 + 2*k**4 - 13*k**3/3 + 4*k**2 - 4*k/3.
-k*(k - 2)**2*(k - 1)**2/3
What is z in 5*z**2/3 + 200*z + 595/3 = 0?
-119, -1
Factor -3*x**2 - 99*x - 186.
-3*(x + 2)*(x + 31)
Let -5*k**3 - 745*k**2 + 23800*k - 173460 = 0. What is k?
-177, 14
Suppose -3*w**2 - 381*w/5 + 234/5 = 0. What
|
{
"pile_set_name": "DM Mathematics"
}
|
e
Let d = 15 - 12. Suppose d*j + 5112 = 7*j. Is 16/(-56) + j/14 a composite number?
True
Suppose 0 = -0*r - 9*r - 102366. Is 3/2 - r/4 a prime number?
False
Let x(g) = 70*g**2 + 71*g - 14. Is x(11) prime?
False
Let u(h) = h + 6. Let i be u(-8). Let s be ((-50)/4)/(1/i). Suppose -3*m + s = -86. Is m a composite number?
False
Suppose 0 = -6*g + 7*g - 5639. Is g a prime number?
True
Suppose -34 = -5*y + 4*d, d = 3*y - 2*d - 21. Let r(z) = 13*z**2 + 16*z - 1. Is r(y) a composite number?
False
Let d = -1040 - -186. Let s = 552 + d. Let l = s + 595. Is l composite?
False
Let g = 6 - 7. Is ((-2)/(-6))/((-2)/10158*g) prime?
True
Suppose 4*s - f - f = 554, 0 = s + 5*f - 155. Is ((-53)/(-2))/(14/s) a prime number?
False
Suppose 0*d = -d - 4*n + 36, -5*n = -5*d + 55. Let g be (-1)/(-2) - 328/d. Let t = g + 29. Is t a composite number?
True
Is (-5630142)/(-189) + (2/(-2))/9 a prime number?
True
Let n(i) = -i**3 + 16*i**2 - 4*i + 65. Let l be n(16). Let b(g) = 233*g + 3 - 99*g + 156*g. Is b(l) a prime number?
True
Let k(v) = 4*v**2 + 5*v + 4. Let q = -13 + 15. Suppose q*d - 13 - 5 = 0. Is k(d) composite?
False
Let d(z) = 1066*z - 15. Let j be d(7). Let m = j - 2804. Is m composite?
False
Let t = -20 + 19. Let d(m) = 3 - 4 + 2 - 142*m. Is d(t) prime?
False
Is ((-6)/(-2))/(48/52016) prime?
True
Let f = 1048 - 422. Let k = f - -773. Is k prime?
True
Let o(v) = 3722*v + 331. Is o(26) a prime number?
True
Let d be 33/2 + 5/(-10). Suppose 4*i = -48 + d. Is ((-26)/i)/(14/280) prime?
False
Let h(s) = -s**3 - 10*s**2 - 8*s + 11. Let n be h(-9). Is (1 - n)/(1/(-329)) a prime number?
False
Let c = -15979 + 27498. Is c composite?
False
Suppose -4*p = 4*j - 10 - 6, -j - 2*p = -7. Let u be 21/(-12) + j/(-4). Is (-284)/2*1/u a composite number?
False
Suppose x + 0*f = -4*f + 10273, 20510 = 2*x - 4*f. Is x composite?
True
Suppose 3*j = -j - 36056. Let s = -4896 - j. Suppose -3*g - 359 + s = 0. Is g a composite number?
True
Let s(a) = a**3 + 6*a**2 - 8*a - 8. Let y be s(-7). Is y/(-4) + 3573/12 a prime number?
False
Let y = -15 + 22. Let z be (20/y)/(4/14). Suppose 0*i - z = -b + 4*i, b + 4*i - 18 = 0. Is b composite?
True
Let n(g) = 335*g + 377. Is n(7) composite?
True
Is ((-5)/(-15))/(-2 + (-134119)/(-67059)) composite?
True
Let q be (48/(-20))/((-1)/5). Suppose q*j = 8*j. Suppose i + 3 = -j*i, 2*i = -4*y + 78. Is y composite?
True
Let o be -1 - -265 - (2 - 3). Suppose 0*c - o = -p + 4*c, 530 = 2*p - 3*c. Is p composite?
True
Is 8 + 33/(-3) + 7070 a composite number?
True
Let q = 22 - 14. Suppose 2 = q*o - 7*o. Suppose x - 5*x - 726 = -5*u, -291 = -o*u + x. Is u a prime number?
False
Suppose 5*l + 4*x - 3100 = 0, -4*l - x + 3315 - 846 = 0. Suppose 0 = -4*t - 3*a + l, t + a = -3*t + 624. Is t prime?
True
Let t be (80/32)/(10/8). Suppose 62 = t*s - 3*w, 3*s - 175 = -3*w - 52. Is s composite?
False
Let z = 3462 + -2402. Let q = z + -181. Is q a composite number?
True
Suppose 32*k - 6071 + 983 = 0. Is k composite?
True
Is 6800 + (-3 + 1 + 5 - 2) composite?
True
Is (0 + 6542)*(-2)/(-48)*12 prime?
True
Suppose -5*y - 10 = 10, -g - y + 9715 = 0. Is g prime?
True
Suppose 6*j = 36 - 6. Suppose 0*t + t + 4*l = 1155, j*l + 1173 = t. Is t a composite number?
False
Let c be 36/48 - 4217/(-4). Suppose 14*v - c = 9*v. Is v a prime number?
True
Let t(u) = -294*u**3 + 2*u**2 - 1. Let g be (5 + -4)/(2/10). Suppose -5*z + g - 10 = 0. Is t(z) a prime number?
False
Let g(a) = 4*a**3 - a**2 + 2*a + 32811. Is g(0) a prime number?
False
Let r(u) = -650*u - 2. Let j be r(1). Let o = j - -1449. Is o prime?
True
Let p = 141 + -1137. Let g = 1757 + p. Is g a composite number?
False
Let c(b) = 2905*b + 37. Is c(6) a composite number?
False
Suppose -127*p + 109*p = -1216062. Is p a prime number?
True
Suppose 5*u - u = 0. Suppose -2*z = -u*z - 30. Let a(x) = x**2 - 20. Is a(z) prime?
False
Let l = -1 + 39. Let r = l - -381. Is r a composite number?
False
Let i be 1*(-6)/(6/5). Is 62 + i - (-3 - -1) a prime number?
True
Suppose -17290 - 7271 = -3*d. Is d composite?
True
Suppose 2 - 12 = -2*q. Suppose -q*z + 2*z + 22 = 4*j, -2*j + 6 = -z. Suppose -5*a = -j*h - 3387, 3*h - 295 - 2427 = -4*a. Is a prime?
False
Suppose u - 108 = -0*u. Suppose 4*v + 2*v = u. Suppose -2*d + d - 33 = -5*b, -2*b = 2*d - v. Is b a prime number?
True
Let s = 16 + -22. Suppose 40 = -2*v - 14. Is (666/v)/(4/s) a prime number?
True
Suppose -685 = -9*t + 1142. Is t a prime number?
False
Let t(p) = 841*p**3 - 2*p**2 - 2*p + 3. Let i be t(1). Suppose -a - 5*n = -i, 0 = -a + 4*n - 2*n + 833. Is a composite?
True
Is (3 + 22/(-6))/((-24)/93780) composite?
True
Let u(s) = 8*s**2 - 12*s - 3 + 15 - s. Is u(9) a composite number?
True
Is (-121923)/(-23) - 3*21/9 composite?
True
Suppose -2*g + 4*y = -g - 65, 4*g - 2*y = 232. Let l be 36/(-2) + 3 + -5. Let u = g + l. Is u prime?
True
Is 141155/45 + 34/153 a prime number?
True
Suppose -3*s + 19004 = q + 4097, 0 = 3*s + 4*q - 14907. Is s composite?
False
Suppose -4*a + 5*i = -943, -3*i = 4*a - 2*a - 477. Suppose w - z - 311 = -3*w, -3*w = -2*z - a. Suppose u - 379 = -c - w, -2 = -2*c. Is u a composite number?
True
Let k(v) = -341*v**2 + 2*v + 4. Let t be k(4). Let q = -3643 - t. Is q prime?
True
Suppose -250*n - 266201 = -263*n. Is n a prime number?
True
Let s(t) = 19*t**2 + 1. Let j be s(-2). Suppose 7 = 2*a + j. Is (-369)/(-7) + (-10)/a prime?
True
Suppose -2*b - 2 = 4. Is -134*((-51)/6 - b) composite?
True
Let a(x) = -3 - 9*x**2 + 3*x - 6 + 12*x**2 + 4*x. Let h(r) = 4*r**2 + 7*r - 8. Let o(l) = -5*a(l) + 4*h(l). Is o(9) a composite number?
False
Suppose 0 = b + b + 4, -4*w + b + 18 = 0. Suppose -w*y + 148 = -348. Suppose 5*o - 826 = -5*d - 236, -o + y = -d. Is o a composite number?
True
Let z be -3 - (0 - 3 - -4). Let k be -3 - (z - -1) - -406. Let o = k - 227. Is o a composite number?
False
Suppose -3*p + 5*p + 571 = 3*w, 4*w + 2*p - 766 = 0. Suppose 5173 = 12*z - w. Is z a prime number?
False
Let d be ((-654)/8)/(-1 - (-5)/8). Let x be (-3)/((-6)/4) + 1. Suppose -x*o + d = -679. Is o composite?
True
Let t be -1 + (-1 - (-1 - 108)). Suppose 0*v + v + t = 0. Is v/(-5) - (-4)/(-10) a composite number?
True
Let v(m) = m**2 + 6*m + 5. Let r be v(-5). Suppose -5*g + 4*q + 1611 = r, -93 = -g - 5*q + 235. Is g a prime number?
False
Let c = 167 + -235. Let x = c + 1261. Is x a prime number?
True
Let n = 55 + -83. Let u = 31 + n. Is 363/22*4/u prime?
False
Let s(n) be the third derivative of -659*n**4/8 - 7*n**3/6 - 11*n**2. Is s(-4) a prime number?
True
Let m(h) = -2*h**3 - 4*h**2 - 4*h - 3. Let i be m(-2). Suppose i*x + 12 + 3 = 0. Is (-348)/(-9)*x/(-2) composite?
True
Let b be 4/(-18)*3*(-2 + -1). Let q be (-3)/(12/(-98))*2. Suppose -p + 77 = 4*m, -p = b*m - q - 34. Is p composite?
False
Let t(z) = 2*z + 157. Is t(-34) a prime number?
True
Let t(k) = k**3 + 42*k**2 + 128*k + 16. Is t(-35) a composite number?
False
Suppose 0 = 2*v - 3*v + 2*u - 1, -u = 0. Is ((31*78)/(-6))/(v + 0) a prime number?
False
Suppose 198*u - 208*u = -353930. Is u a prime number?
True
Let z(m) = -3*m + 3*m**3 + 9 + 3*m**3 - 5*m**3 - 3*m**2. Let y(f) = 26*f + 296. Let g be y(-11). Is z(g) composite?
True
Suppose -2*w + 3*s - 7 = 0, w = -s - 5 - 6. Let k(u) = 2. Let o(z) = 2*z + 1. Let t(m) = -4*k(m) - 2*o(m). Is t(w) prime?
False
Is 4/(24/8430) + -6 composite?
False
Suppose -13*v = 5*a - 12*v - 41649, -5*a + v + 41641 = 0. Is a composite?
False
Let h(w) = -17*w - 1. Let f be h(-6). Let t = 268 - f. Is t prime?
True
Suppose -19*u + 16*u = -59403. Is u a composite number?
False
Let a = 641 - 462. Is a a prime number?
True
Let p(l) = 12*l**3 + 3*l**2 + 5*l - 3. Let j be p(4). Let z = 1752 - j. Is z composite?
False
Let t = -29 - -13. Let u = 69 + t. Is u composite?
False
Let i(f) = f**3 - 5*f**2 + 13*f + 8. Suppose -v - 4*a + 11 = 0, 2*v - a - 22 = -2*a. Is i(v) a composite number?
False
Let u = -975 - -2956. Suppose 0 = 3*x + 12, -k - 2*k + u = 5*x. Is k composite?
True
Let l(o) be the third derivative of -o**4/24 + o**3/2 + 4*o**2. Let n be l(-5). Suppose -2*h + 3 = -2*f + 1, -4*f + n = -h. Is f a prime number?
True
Is 265000/35 + (-24)/56 a composite number?
True
Let b = -28 + 28. Suppose 4*q + 909 - 3601 = b. Is q prime?
True
Let h be 2/(-5) + 24/10. Suppose h*q = 6*q - 5*r - 2967, 0 = 5*q + 3*r - 3681. Suppose -947 =
|
{
"pile_set_name": "DM Mathematics"
}
|
True
Let v(a) = -a**3 - 14*a**2 - 8*a - 13. Let u(y) = -y. Let w(i) = -6*u(i) - v(i). Let b be w(-13). Which is smaller: -3 or b?
-3
Suppose -5*o - 2*k + 23 = 0, -9 - 4 = -3*o - 2*k. Suppose s = o*i - 15, -3*s - 1 = 14. Let j = i - 3. Is j >= 0?
False
Let h = 0.43 - 0.53. Is 3/26 > h?
True
Let j = -2351/6 + 390. Let l = j + 19/10. Let d be (6/5 - 1)*5. Which is greater: l or d?
d
Let u = -1 - 1. Let r = u + -1. Let i = r + 2.7. Do 0.1 and i have the same value?
False
Let b(c) = 3*c - 3. Let u be b(2). Let r be (1/u)/((-11)/(-6)). Is r bigger than 0?
True
Let v(d) = -d**2 + d + 3. Let x be v(0). Let k be (-1)/4 + x/12. Is -3/7 <= k?
True
Let k be 12/(-18)*1/(-1). Do k and -2/11 have the same value?
False
Suppose z + 0 = 3. Suppose -3*s - 5 = h, -13 = 5*s + 7*h - z*h. Is s equal to -0.06?
False
Let p be 33/(-36) - 2/(-3). Suppose 2*r - r + 1 = 2*x, -3*x = -4*r + 1. Which is bigger: p or r?
r
Let t(k) = 2*k**2 + 2*k + 2. Let l be t(-2). Suppose -a = -l + 3. Which is smaller: 1 or a?
1
Let l(v) = -v**2 - 5*v - 2. Let h be l(-5). Let r(w) = w + 1. Let j be r(h). Let z be j/(-2)*(1 - 1). Which is smaller: z or -1?
-1
Let l(k) = k**3 + k**2 + k - 10. Let b be l(0). Let r be ((-28)/(-175))/((-4)/b). Is r greater than 5?
False
Let a = 1.24 - 1.34. Is 9.4 less than a?
False
Let x be (-32)/(-12)*(-3)/(-2). Let g be (-1 - x/(-5))*3. Which is bigger: g or 4?
4
Let o be ((-1)/(-4))/(-4 + (-102)/(-24)). Let g = 1.1 + -2. Is o at most g?
False
Let g be 1/((-16)/1586) + -1. Let d = g - -100. Which is smaller: d or 1?
d
Suppose -4*x = -3*x. Let n(u) = -u**3 - u**2 - u + 6. Let v be n(x). Let h be (v/(-6))/((-2)/(-14)). Is h smaller than -7?
False
Let q(k) = k - 3. Let s be q(3). Let i be s/(5/((-5)/(-2))). Is 1/6 greater than i?
True
Let p be 0 + 3/1 + -3. Is 2/19 at most as big as p?
False
Let g = -1 + 0. Let b be -1*(1/(-1) - g). Suppose -t = -1 - b. Which is smaller: -1/9 or t?
-1/9
Suppose 5*h = -0*h - 15. Let p = -4 - h. Let f = -2 - p. Which is bigger: f or -2?
f
Let g be (4/2)/(-3 - -2). Which is greater: g or -7/3?
g
Let s = -3 + 3. Let k = s + -1. Let p be (k/3)/(1/(-3)). Is p at most 1/4?
False
Let x(v) = -v**3 - 8*v**2 - 7*v + 4. Let n be x(-7). Suppose 4*z = -5*r + 6, -n*z + 0 = 4. Which is smaller: r or 2/3?
2/3
Suppose 4 = -0*u + 2*u, -4*y + u - 14 = 0. Let d = y + 6. Let g(v) = -v + 1. Let b be g(-3). Is d < b?
True
Let a = 1 - -6. Is 8 not equal to a?
True
Let i = 2.7 + -2.78. Is i equal to -1?
False
Suppose k + 32 = 4*l, -6*l = -2*l + k - 32. Which is smaller: l or 5?
5
Let x = -1 + 0. Let n(u) = -u**2 - 5*u - 3. Let i be n(-3). Let h be x - (i/2)/3. Are h and -2 equal?
False
Suppose -7*x + 105 = -4*x. Let j = x - 19. Which is smaller: j or 0?
0
Let i be (-18)/20 - 2/(-4). Suppose -4*w = -4, -w - 2 = -0*b - b. Let o = 4 - b. Are i and o unequal?
True
Let c = 51 - 48. Which is greater: 5 or c?
5
Let i = -52/25 + 1029/50. Let j = i - 18. Let o = -1 + 3. Which is greater: j or o?
o
Let c(v) = -3*v + 6. Let r(l) = -1. Let q(o) = c(o) - r(o). Let w be q(4). Is -6 >= w?
False
Let a = -3 - -23. Is -0.1 greater than a?
False
Let s(g) = -2*g - 11. Let b be s(-6). Is b smaller than 6/5?
True
Suppose -5*l + 4 = -2*x, 5*l - 2*l = -3*x - 6. Suppose -m + 4*m + 3 = l. Is 1 less than m?
False
Let u(y) = -y**3 + 5*y**2 - 6*y - 6. Let l be u(5). Let m be ((-4)/l*3)/1. Is 0 at least m?
False
Let p = 0 + 1. Let r = 13 - 11. Which is greater: r or p?
r
Let c = -37/100 + 3/25. Let f = 3.37 + -3.51. Which is smaller: f or c?
c
Suppose 4*j + 2*a - 6 = 0, 0*a - 5*a + 15 = -j. Let s be 9/(-6)*2 - -6. Let f be 1*-1*(-2 + s). Which is smaller: j or f?
f
Let g(k) = k**2 + 8*k - 4. Let u be g(-8). Which is smaller: u or -6?
-6
Suppose -k - 2*m - 8 + 2 = 0, -2*k + m + 3 = 0. Let h be 6/126*(-2 - 1). Which is bigger: k or h?
k
Suppose 0 = 2*v - 6*v + 40. Suppose -g - v = 4*g. Is g less than 0.3?
True
Let n = -66/13 + 2416/481. Which is greater: 0 or n?
0
Let s(d) = d**2 + 6*d + 13. Let w be s(-5). Which is bigger: w or 9?
9
Let v be (-5)/25*-5*2. Suppose -4*o = 5*f + 32, 0 = -4*f + 5*o - 24 - 18. Which is greater: v or f?
v
Let d(j) = j**3 + 5*j**2 - 6*j + 2. Let x be 6/1*(-4)/4. Let s be d(x). Suppose -s*y = 7*q - 2*q - 10, 25 = 5*y. Which is smaller: q or -2/11?
-2/11
Suppose -19 = 3*y - 2*y + 5*d, 0 = -4*y + 5*d + 49. Suppose 10*m = y*m. Which is greater: m or -4/5?
m
Let x = 18 + -26. Let v = -1.9 - -2. Is v <= x?
False
Let z = 632/175 + -25/7. Let g(m) = m**2 + m + 1. Let x be g(0). Is z at least as big as x?
False
Let s(y) = -y - 7. Let c be s(-8). Suppose -4*u - c = 3. Is u smaller than -2?
False
Let p(j) = j**3 + 3*j**2 + 2*j - 2. Let a be p(-3). Which is smaller: -10 or a?
-10
Let a be (-45)/55 + 26/(-22) + 1. Which is greater: -5 or a?
a
Suppose 4*k + 4 = -16. Let b(n) = n**2 + 7*n + 7. Let r be b(k). Let s be 2/8 - r/4. Which is smaller: 0 or s?
0
Let n = -18 + 21. Suppose 3*d = -n*y + 3, -y + 5*y = -2*d + 4. Is 1 at least y?
True
Let w = -5673/2047 + 64/23. Which is greater: w or 0?
w
Let o be (-2)/(-96)*4*(-9 + 6). Let r = 0.1 + 0.1. Does r = o?
False
Let i(z) = 4*z - 9. Let c be i(3). Which is smaller: 0.5 or c?
0.5
Let k(m) = m**2 - 9*m + 6. Let a be k(8). Let d be 3 + 7/2*a. Which is greater: d or 1/4?
1/4
Suppose 0 = a - 8 - 2. Are a and 12 unequal?
True
Let n be -2 + -3 + 7 + -4. Let r be (-1 - -1)/(n + -1). Suppose -2*a - a = r. Is 2/17 < a?
False
Let i = 102 + -71. Which is smaller: 30 or i?
30
Let c(j) = -j**3 - 8*j**2 - 7*j - 1. Let r be c(-7). Let g be (-2)/6 - r*1. Suppose 2*x - 4*f - 2 = 0, -2*x - 3*f = -1 - 1. Which is smaller: g or x?
g
Let t = 0 + 12. Are 12 and t non-equal?
False
Let s = 6 - 0. Let k be (-4)/(-3) - s/18. Let j = -1 - -1. Is k greater than or equal to j?
True
Let a be 14/2 - (-4 + 3). Suppose a = -4*t - 8. Let y be t/6*9/6. Is -2 less than or equal to y?
True
Let t = -42.04 - -42. Is t <= -0.1?
False
Suppose -3*w - 5*y = 12, -5 = -2*w - 3*y - 13. Is w at most 0.2?
True
Let m be 4/(-10) + (-1011)/(-15) + -3. Do m and 64 have the same value?
True
Let j = 39 + -21. Suppose -j = q - 3*q + f, -3*q + 28 = -2*f. Which is smaller: q or 9?
q
Suppose -5*j + 2*j - 9 = 0. Let v be 1/(-1)*15/(-3). Suppose -3*m = -y + v*y, 5*y = 2*m + 23. Is m <= j?
True
Let n(q) = -q**2 - 9*q - 7. Let m be n(-8). Let g = 11 - -39. Let f be (24/g)/(-3)*-5. Which is smaller: f or m?
f
Let w = -7 + 5. Suppose 0 = 2*o + 6, 3*p - 5*o - 17 = 2*p. Suppose 0 = 3*u - 2*f - 4, u - p*u - 4*f = 8. Which is bigger: u or w?
u
Let u(x) = -x**2 + 5*x - 1. Let j be u(4). Suppose j*a = -9 + 3. Is -1/2 greater than or equal to a?
True
Suppose -o = q - 17, -3*o - 6 = -5*o + 5*q. Which is greater: 12 or o?
o
Let q be (0 - -1)/((-3)/3). Let c be (-2 - (-2 - -2))/q. Let g be 3*4*4/16. Which is bigger: g or c?
g
Let n be (-18)/(-48)*(-20)/(-6). Are 0 and n non-equal?
True
Suppose 17 - 2 = 5*u. Suppose 0 = x + 2*x - u. Are 3/5 and x nonequal?
True
Let x = 2 - -6. Let o be ((-3)/2)/(2/x). Suppose -4*s + 9 - 33 = 0. Is o < s?
False
Let f = 11 + -4. Suppose -3*d = -f*d - 20. Which is greater: -6 or d?
d
Let m = -111 + 110. Is m at most as big as 6?
True
Let n = -37 - -142. Are n and 105 non-equal?
False
Let h(r) = 8 + 3 + r - 2. Let w be h(-10). Is 0 greater than or equal to w?
True
Let o(d) = 6*d - 6. Let k be o(1). Let i = -713/7 + 102. Which is smaller: k or i?
k
Let t be ((-3)/4)/(-3)*28/1. Suppose -9 = -2*b - j, -3*b - 4*j = -j - 15. Is b less than t?
True
Let c be -6*(-3)/((-45)/(-110)). Which is smaller: c or 45?
c
Suppose 3*v - 1 + 4 = 0. Let a be 3 + v - (-1)/1. Suppose 1 = -a*t - 2. Which is greater: t or -2?
t
Let z = 333.1 + -333. Let p = 4 - 14. Do z and p have the same value?
False
Let u(c) = -c**2 - 9*c + 12. Let o be u(-10). Which is smaller: o or 1?
1
Let g(x) = x - 6. Let c be g(5). Let l be (54/44 - 1)*(-20)/(-25). Which is smaller: c or l?
c
Let b = 29.9 - 19.8. Let n = -0.1 + b. Let a = 9.7 - n. Which is smaller: a or 0?
a
Suppose 19 = -3*v - 4*b, -4*v + 12 = -7*b + 3*b. Suppose 2*o - 8 = -2*u, 0 = 5*o - 2*u - 7 - 6. Let r be (1/(-6))/(o/2). Which is smaller: v or r?
v
Let q = -0.08 - -12.08. Let o = -11.9 + q. Is o smaller than 12?
True
Let m(w) = w**2 + 5*w - 3. Let u be m(-5). Let b = -5 - u. Let z be 3/b*(-8)/(-12). Which is smaller: -2 or z?
-2
Let m = -1 +
|
{
"pile_set_name": "DM Mathematics"
}
|
+ p. Give -4*r(i) - v(i).
2*i**3 + 13
Let m(j) = -j**2 + j + 1. Let u(h) = h**3 - h**2 - 4*h. Give -2*m(g) + u(g).
g**3 + g**2 - 6*g - 2
Let f(b) = 7*b. Let r(v) = v**2 + 8*v - 1. Let j be r(-9). Let a(i) = 11*i. Determine j*f(z) - 5*a(z).
z
Let s(u) = u**3 + u**2 - 1. Let g(o) = -5*o**3 + o**2 - 1. Calculate g(v) - s(v).
-6*v**3
Let h(x) = 13*x**3 - 3*x**2 + 2. Let m(q) = -q**2 - 1. Give h(k) - m(k).
13*k**3 - 2*k**2 + 3
Let a(p) = 6*p**3 + p - 2. Let c(b) = -7*b**3 - b + 3. What is -6*a(w) - 4*c(w)?
-8*w**3 - 2*w
Let s(b) = -b**3 + 6*b**2. Let y(z) be the first derivative of z**3/3 + 30. Give -s(g) + 5*y(g).
g**3 - g**2
Let l(t) be the third derivative of -t**5/10 - 5*t**3/6 + t**2. Let q(z) be the first derivative of -7*z**3/3 - 6*z + 25. Give 6*l(p) - 5*q(p).
-p**2
Let a(y) = 8*y**2 + 2*y - 13. Let k(s) = -4*s**2 - s + 7. What is 6*a(m) + 11*k(m)?
4*m**2 + m - 1
Let v(k) = -5*k**2 - 4. Let f(n) = 4*n**2 + 3. Let j(b) = -b**3 - 4*b**2 - b - 1. Let i be j(-4). Calculate i*v(h) + 4*f(h).
h**2
Let v(n) = -8*n - 1. Let i be v(-1). Let u(o) = -4*o + 4. Let p(q) = 2*q - 3*q - 2 + 3*q. Determine i*p(g) + 3*u(g).
2*g - 2
Let r(z) = 4*z**3 + 9. Let m(c) = -c**3 - 2. Let u be 2/7 + (-240)/(-42). Let i be 22/(-12) + (-1)/u. Calculate i*r(n) - 9*m(n).
n**3
Let t(s) = -s**3 + 5*s**2 - 3*s + 5. Let k(b) = -b**3 + 4*b**2 - 2*b + 4. Calculate 3*k(d) - 2*t(d).
-d**3 + 2*d**2 + 2
Let r(m) = 13*m**3 + 3*m**2 - 3. Let s(u) = 13*u**3 + 2*u**2 - 2. Determine 2*r(z) - 3*s(z).
-13*z**3
Let q(l) = -l. Suppose 0 = -3*j + 4 + 11. Let h(n) = -3*n - 1. Let f = 5 + -3. Suppose -9 = f*g + 5*t, 0 = g + t + 4*t + 7. What is g*h(y) + j*q(y)?
y + 2
Let d(j) = -2*j**3 - 5*j + 5. Let q be 16/7 - (-8)/(-28). Let t(z) = z**3 + 2*z - 2. Let k be (-39)/(-3) - (1 + 1). Let h = 16 - k. Give h*t(w) + q*d(w).
w**3
Let o(w) = w**3 + 4*w**2 - 3*w - 2. Let g(f) = -2*f**3 - 5*f**2 + 4*f + 2. Give -2*g(a) - 3*o(a).
a**3 - 2*a**2 + a + 2
Let l(v) be the first derivative of -v**2 + 2 + 2/3*v**3 + 2*v. Let w(n) = -n**2 + n - 1. Let d be -4*6/(-16)*2. What is d*l(t) + 8*w(t)?
-2*t**2 + 2*t - 2
Let j(n) = 5*n**3 - 6*n**2 + 7*n + 7. Let i = 17 - 18. Let h(s) = s**3 - s**2 + s + 1. Give i*j(m) + 6*h(m).
m**3 - m - 1
Let y(z) = -4*z**2. Suppose 2*b = -2*b - 3*i + 24, -4*i = 16. Suppose 3*f - 3 = 2*f. Let t(u) = -3*u**2 + 2*u**2 + f*u**2. Calculate b*t(h) + 4*y(h).
2*h**2
Let i(n) = 3*n + 2. Let t(u) = u + 13. Let o be t(-12). Suppose -2*p - o = 3. Let q(r) = -15*r - 11. Calculate p*q(m) - 11*i(m).
-3*m
Let y(r) = -2*r**3 - 3*r**2 + 2*r - 1. Let u(n) be the third derivative of -n**4/24 + n**3/6 - 4*n**2. Calculate -2*u(d) - y(d).
2*d**3 + 3*d**2 - 1
Let q(i) = -i**3 - 3*i**2 - 3*i - 8. Let y(l) = 2*l**2 + 2*l + 9. Determine -2*q(m) - 3*y(m).
2*m**3 - 11
Let g(n) = 11*n**2 - 2*n - 1. Let w(b) be the third derivative of -b**5/15 + b**4/24 + 7*b**2. Determine 3*g(i) + 8*w(i).
i**2 + 2*i - 3
Let l(t) = t**2 - t - 1. Let g(p) = -8*p**2 + 6*p + 6. Give 5*g(m) + 30*l(m).
-10*m**2
Let t(k) = -4*k + 3. Let w(h) = 9*h - 7. Suppose 7*j - 4*j = x + 10, 4*x - 40 = -4*j. Suppose r = x*q - 10 - 1, -22 = -2*q - 4*r. Determine q*w(s) + 7*t(s).
-s
Suppose 0*k = 2*k + 3*j + 18, -2*k - 20 = 4*j. Let x be (-8)/20 - 6/10. Let n(g) = 2*g + 15 + 4*g - 11 + 2*g**3. Let d(z) = -z - 1. Determine k*d(f) + x*n(f).
-2*f**3 + 2
Let l(h) = h + 4. Let n(q) be the first derivative of -q**2 - 4*q - 12. What is 3*l(c) + 2*n(c)?
-c + 4
Let c(q) = 18 + 24 - 35 - 7*q. Let j(p) = -20*p + 20. Determine 17*c(b) - 6*j(b).
b - 1
Let w(x) = -63*x. Let i(f) = -1826*f. Determine -3*i(q) + 88*w(q).
-66*q
Let i = 6 - 4. Let h(w) = -4*w**2. Suppose 3*c + 0*c = 6. Let o(k) = -1 - k**2 - 5*k**c + k**2. Give i*o(d) - 3*h(d).
2*d**2 - 2
Let c(x) = 4*x - 4. Let u(p) = -2*p + 2. Determine -4*c(a) - 7*u(a).
-2*a + 2
Let m(r) = -r. Suppose 0 = -0*b + b + 4. Let o(a) = 3*a. Let z(y) = b*m(y) - o(y). Let d(f) = 4*f. Determine 4*d(q) - 14*z(q).
2*q
Let l(n) = n**3 + 3*n**2 - 9*n + 5. Let p(q) = -2*q**2 + 4*q - 2. Calculate 2*l(f) + 5*p(f).
2*f**3 - 4*f**2 + 2*f
Let r(o) = 104*o**3 + 17*o + 6. Let i(g) = -35*g**3 - 6*g - 2. Calculate -17*i(q) - 6*r(q).
-29*q**3 - 2
Let o(t) = 1. Let q(n) = -2*n**3 - 5*n**2 - 5*n + 3. Determine -3*o(i) + q(i).
-2*i**3 - 5*i**2 - 5*i
Let l(a) = -a. Let t(z) = -3*z + 1. Determine -2*l(v) + t(v).
-v + 1
Let o(y) = -18*y**3 - 5*y**2 + 5*y - 5. Let d(v) = -522*v**3 - 144*v**2 + 144*v - 144. Calculate -5*d(u) + 144*o(u).
18*u**3
Let d(f) = 3*f - 11. Let i(c) = -3*c + 12. Determine 5*d(l) + 4*i(l).
3*l - 7
Let j(u) = 3*u - 3*u - u + 2*u. Let v be j(-3). Let t(m) = -7*m + 9. Let s(o) be the first derivative of -2*o**2 + 5*o + 1. Give v*t(z) + 5*s(z).
z - 2
Let v(l) = 2*l**2 + 5*l**3 + l - 1 - 1 - 8*l**3 + 4*l**3. Let r(a) = -3*a**2 - a + 2. Calculate -2*r(u) - 3*v(u).
-3*u**3 - u + 2
Let h(i) = -11*i**2 + 14*i - 20. Suppose -12*f = -f + 187. Let u(v) = -4*v**2 + 5*v - 7. Give f*u(j) + 6*h(j).
2*j**2 - j - 1
Let c(g) = -g + 9. Let q(z) = z - 1. What is -c(d) - 3*q(d)?
-2*d - 6
Let t(z) = 2*z**3 + 4*z**2 - 3*z - 3. Let l(x) be the third derivative of x**6/40 + 2*x**5/15 - 5*x**4/24 - 5*x**3/6 + 29*x**2. Calculate -3*l(c) + 5*t(c).
c**3 - 4*c**2
Let u(v) = -v**3 - 2*v. Let i be (-2)/(0 - 8/12). Let y(c) = 4*c**i + 4*c - 5*c**3 + 2*c**3 + c**3. Determine -7*u(t) - 4*y(t).
-t**3 - 2*t
Suppose 0 = 3*z + 18. Let m(o) = 15*o + 13. Let l(p) = 7*p + 6. What is z*m(g) + 13*l(g)?
g
Let l(h) = 4*h**2 + 15*h + 11. Let m(r) = -4*r**2 - 23*r - 12. Let y(p) = 2*p**2 + 11*p + 6. Let f(v) = 3*m(v) + 7*y(v). Determine 11*f(q) - 6*l(q).
-2*q**2 - 2*q
Let f(p) = p + 1. Let n(u) = 11*u + 1. Determine -2*f(r) + n(r).
9*r - 1
Let g(m) be the first derivative of -7*m - 10/3*m**3 + 0*m**2 - 10. Let d(y) = 3*y**2 + 2. Calculate 21*d(l) + 6*g(l).
3*l**2
Let f = -7 - -9. Let k(v) = v - 13. Let o(i) = 3*i - 38. Let d(s) = -8*k(s) + 3*o(s). Let g(j) = 2. Give f*d(a) + 11*g(a).
2*a + 2
Let z(p) = -p + 1. Let g(q) = -65*q**3 + 4*q - 4. What is -g(c) - 4*z(c)?
65*c**3
Let t = -4 - -11. Let d(g) = 3*g - 5. Let n(y) be the third derivative of y**4/6 - 7*y**3/6 + 10*y**2. What is t*d(j) - 5*n(j)?
j
Suppose 2*q + 0*q = 22. Let y = q - 12. Let o(v) = -v**3 - 6. Let m(z) = 2. Let d(h) = 1. Let i(a) = -d(a) + m(a). Determine y*o(p) - 5*i(p).
p**3 + 1
Let h(k) = 11*k**2 + 14*k - 14. Let v(s) = 7*s**2 + 9*s - 9. Let c(f) = -f - 10. Let j be c(-10). Let x be 2 + 0 + -7 - j. What is x*h(o) + 8*v(o)?
o**2 + 2*o - 2
Let w(x) = -6*x**3 + 3*x**2 + 2*x + 1. Let t(c) = -6*c**3 + 4*c**2 + 3*c + 1. What is 3*t(p) - 4*w(p)?
6*p**3 + p - 1
Let b(w) = 1 + 0 + 0. Let u(x) = -x. Let z = -19 - -20. What is z*u(v) + 2*b(v)?
-v + 2
Let c(l) = -3*l. Let x(i) = i**3 - 16*i. What is 11*c(u) - 2*x(u)?
-2*u**3 - u
Suppose -12 = -5*s + 8. Let b(f) = -4*f**2 - 5*f + 2*f**2 + f + s*f**2. Let a(d) = d**2 + 3*d**2 + d - 5*d**2. Determine 4*a(i) + b(i).
-2*i**2
Let t be (15 - 9) + -3 + 1. Let y(p) = 3*p**2 + 3*p + 3. Let r(k) = -3*k**2 - 4*k - 4. What is t*y(c) + 3*r(c)?
3*c**2
Let f(p) = -9*p + 5 + 8*p - 9. Let s(i) = -5. Calculate 5*f(b) - 4*s(b).
-5*b
Let g(d) = -30*d**3 + 5*d - 5. Let v(z) = 29*z**3 - 4*z + 4. Calculate 4*g(i) + 5*v(i).
25*i**3
Let f(r) = 4*r. Let y(g) be the first derivative of -g**2/2 - 7. Let m(l) = -l - 26. Let k be m(0). Determine k*y(h) - 6*f(h).
2*h
Let u(j) = 2*j**2 - 1 - 3*j**2 + j + 0*j**2 + 2. Let c(d) = -12*d**2 + 11*d + 11. What is -4*c(q) + 44*u(q)?
4*q**2
Suppose -2*z = 2*w - 2, 13 = -w + 2*w - 3*z. Suppose 4*g = 3*g + 1, -3*y - 26 = -5*g. Let p(b) = 2*b + 5. Let a(l) = 4*l + 9. Determine w*a(x) + y*p(x).
2*x + 1
Let l(o) = -1 + 0 + 2 - 2. Let r = -7 - -6. Let z(s) = s**3 - 6. Give r*z(g) + 6*l(g).
-g**3
Let n(p) = 4*p**2 + p - 1. Let y be -1*((-12)/(-4) + 2). Let t(w) = 7*w**2 + w - 2. What is y*n(b) + 3*t(b)?
b**2 - 2*b - 1
Let y(m) = -10*m**3 + 7*m**2 + 7. Let k(l) = -11*l**3 + 6*l**2 + 6. Calculate -7*k(o) + 6*y(o).
17*o**3
Let z(i) = -4*i**2 - i - 3. Let v(d) = -8*d**2 - d - 5. Determine 4*v(g) - 7*z(g).
-4*g**2 + 3*g + 1
Let q(g) = 3*g**3 - 2*g**2 + 4*g. Let m(s) = -4*s**3 + s**2 - 3*s. Determine -3*m(l) - 2*q(l).
6*l**3 + l**2 + l
Let m(b) = -2 + 6*b**3 - 7*b**2 + b + 2. Let n = 9 - 16. Let d(k) = 2*k**3 - 2*k + 2*k - 41*k**2 + 39*k**2. Determine n*d(v) + 2*m
|
{
"pile_set_name": "DM Mathematics"
}
|
or -5/123688371?
-5/123688371
Which is greater: -123862521 or -123862522?
-123862521
Which is bigger: 296622 or 296618?
296622
Which is bigger: 458302 or 458794?
458794
Is -641291 at least as big as -641289?
False
Is -12305904 at least as big as -12305904?
True
Which is bigger: 0 or 27/7024690?
27/7024690
Which is smaller: -3540915 or -3540916?
-3540916
Is 1 != -1/3007374?
True
Is 401531953 > 401531954?
False
Are -1 and 3970/34111 equal?
False
Which is bigger: 1/27 or 12.790093?
12.790093
Which is greater: 0 or 194581628?
194581628
Is -86445 >= -86471?
True
Are -1 and -63/3992417 unequal?
True
Is -2899 at least as big as 1144?
False
Is -959347 >= -959680?
True
Is -113418 less than -113385?
True
Is -96225 at least -96234?
True
Which is bigger: 44 or 58277/1347?
44
Which is smaller: 0 or -302/38051?
-302/38051
Which is greater: 482 or 168169/348?
168169/348
Is -3177 smaller than -320820/101?
True
Which is smaller: 59746.277 or -1/4?
-1/4
Do -22222.4 and 2.4 have the same value?
False
Which is greater: -2428/3337 or 0?
0
Which is smaller: -27104222 or -27104226?
-27104226
Is 0 bigger than 41/492921?
False
Which is bigger: -190347/466 or -408?
-408
Which is bigger: -488942 or -488935?
-488935
Is 0.70375001 > -3?
True
Which is bigger: 14/143243 or -1?
14/143243
Are -1 and 14/5070459 equal?
False
Are 113165 and 113092 non-equal?
True
Is 2848966 >= 2848968?
False
Which is smaller: -4 or 0.050352?
-4
Is 0 less than 2/10691333?
True
Which is smaller: -1623/10114 or 1?
-1623/10114
Is -9786224 greater than or equal to -9786226?
True
Is -95415 at least as big as -95408?
False
Is 46/177747 at most 1?
True
Which is smaller: -57218 or -57155?
-57218
Is 131/605 < 178?
True
Do -2/909 and 1248/43 have the same value?
False
Which is smaller: -34000 or -34955?
-34955
Which is smaller: -6740692 or -91?
-6740692
Is 6154/7 greater than -9581?
True
Which is smaller: 710191 or 710178?
710178
Is -24 greater than 4327777?
False
Which is bigger: 4/58600567 or -1?
4/58600567
Which is greater: -27622 or -303833/11?
-303833/11
Which is greater: -827769 or -0.2?
-0.2
Which is greater: 454/2224085 or 0?
454/2224085
Which is bigger: -1/5800727 or 1?
1
Which is smaller: 7/10967723 or -1?
-1
Which is smaller: -819126/265 or -3091?
-819126/265
Which is greater: 162 or 11600?
11600
Which is smaller: 11 or 2/39508619?
2/39508619
Which is greater: 18893738/15 or 1259582?
18893738/15
Which is smaller: 1449900 or 8/53?
8/53
Which is smaller: -231428354 or 0?
-231428354
Which is smaller: 2/43954567 or -1?
-1
Which is smaller: -8783577 or -8783578?
-8783578
Is -1 greater than 61/434235?
False
Is 0 greater than or equal to -23953488?
True
Which is smaller: -10253 or -10599?
-10599
Which is smaller: 4394182 or 107?
107
Which is smaller: 29181 or 29173?
29173
Is 0 greater than or equal to -511/344478?
True
Which is smaller: 5086878/11 or 462443?
462443
Which is smaller: 33552 or 171?
171
Which is smaller: 153593/526 or 291?
291
Which is smaller: -1535557 or -1535556?
-1535557
Is 59 equal to -873778?
False
Is 0 > -1979833/12?
True
Do -4826.5326 and -2 have the same value?
False
Which is smaller: -2098/62235 or 0?
-2098/62235
Which is bigger: -443362702 or -443362701?
-443362701
Which is bigger: -9500 or 1871?
1871
Is -21629129 greater than or equal to -21629128?
False
Which is bigger: 21943/2074 or 11?
11
Is 957 at least 454866/475?
False
Which is bigger: 45 or 51963/1133?
51963/1133
Which is bigger: 663523 or 663536?
663536
Which is greater: -891954 or -891953?
-891953
Which is smaller: -30518 or -30657?
-30657
Which is greater: -7153/1424 or -4?
-4
Is -398068 != -399825?
True
Which is smaller: -1341100 or -1341082?
-1341100
Is 1385/10899 equal to 1?
False
Which is greater: -1/2 or 4745596?
4745596
Is 301604890 at most 301604890?
True
Is 1 < -0.03056147?
False
Which is bigger: 492/91 or 1/376?
492/91
Which is smaller: 7027408 or 7027416?
7027408
Which is bigger: 491/10 or 4625?
4625
Is 21758843 at most as big as -2?
False
Do 376727 and -602 have different values?
True
Is -17588 bigger than -17548?
False
Which is smaller: -1196 or 3453?
-1196
Is -1 greater than -2/605725973?
False
Is -6089/157160 >= 0?
False
Are -178737 and -178731 equal?
False
Is 24.45 bigger than 7016?
False
Is 635780868/13 > 48906222?
False
Which is smaller: -458814/157 or -2921?
-458814/157
Which is bigger: 87/224318 or 0?
87/224318
Which is greater: 22456 or 19677?
22456
Which is smaller: -1764 or -474778?
-474778
Which is smaller: 0 or 1/371773544?
0
Which is smaller: 7059392 or 21178172/3?
21178172/3
Which is greater: 1 or -69/622823?
1
Is -0.2 less than 0.44525312?
True
Which is smaller: -45 or 160/669?
-45
Which is smaller: 8235 or 51/5?
51/5
Which is smaller: 4740256 or 2?
2
Which is smaller: 27 or -1646055?
-1646055
Is 240 != -1/20105?
True
Which is smaller: 8 or 3205/394?
8
Is 1 less than or equal to 2/101657853?
False
Which is bigger: 7462/7447 or 2?
2
Is -4792/1843 at most -2?
True
Which is smaller: -457572 or -457547?
-457572
Which is greater: -254 or -1192?
-254
Is -615 greater than -63395/103?
True
Is -2313810 < -2313805?
True
Is -1/4 at most -26357574/313?
False
Is -72/17 at most as big as -1375170?
False
Which is bigger: 1619187/23 or 70400?
70400
Which is smaller: 0 or -12/2462165?
-12/2462165
Which is greater: -1439178 or -32?
-32
Is 1 < 18/528119?
False
Which is smaller: -6428980 or -6428976?
-6428980
Which is smaller: -21 or 483166?
-21
Which is bigger: 3/348729185 or 1?
1
Is 0.89954 at most -0.61?
False
Is -43270971 smaller than -43270971?
False
Which is bigger: -2/47 or 6904082?
6904082
Which is smaller: -1 or 187362?
-1
Is 1/176228 less than 0?
False
Is 332/14803 at most as big as 0?
False
Which is smaller: -7128 or -14255?
-14255
Which is smaller: -59.86 or 341/4?
-59.86
Which is smaller: -2241.5584 or 5/3?
-2241.5584
Which is smaller: -41/16722533 or -1?
-1
Are -1003/322381 and -1 non-equal?
True
Are -1275/2 and 1044 non-equal?
True
Is -3 smaller than -459418?
False
Do 1212 and -7820 have the same value?
False
Is -211034 at least as big as -211092?
True
Is -0.28 at least 921445?
False
Which is greater: 52817 or 52966?
52966
Are 3929558/135 and 29107 nonequal?
True
Which is greater: -4237241/25 or -169490?
-4237241/25
Is 758/82445 less than 0?
False
Which is smaller: -1 or 4/1141417433?
-1
Is 0 at least -1531/13551?
True
Are 65291 and 64833 equal?
False
Is -685386 less than -8/13?
True
Do 0 and 21/52788382 have the same value?
False
Which is bigger: 5/2732 or 3/4016?
5/2732
Does -3/345816937 = 0?
False
Do -358/3 and -475/186 have the same value?
False
Which is smaller: 116468 or 116465?
116465
Which is greater: 57581/106 or 544?
544
Is 1 at least as big as 5110/74867?
True
Is 2515099 < 67907710/27?
True
Which is smaller: -9983651 or -9983654?
-9983654
Which is greater: 39/191617 or 0?
39/191617
Is 134 greater than or equal to -10658?
True
Which is greater: 7530129 or 22590388/3?
22590388/3
Which is smaller: 1 or -0.455578?
-0.455578
Which is bigger: -113111 or -791781/7?
-113111
Is 1/119 <= -43.05182?
False
Which is bigger: -108500/1523 or -72?
-108500/1523
Do -8249790 and -8249796 have different values?
True
Is -104 smaller than -121238/1161?
False
Is 1/86750459 smaller than 1?
True
Which is smaller: 2900 or 13600?
2900
Is -530496 smaller than -530528?
False
Which is smaller: -1/310745771 or 0?
-1/310745771
Which is bigger: 3060086 or 3060098?
3060098
Is -10014559 > -10014559?
False
Is 2213571 bigger than 1/6?
True
Is 4.108579 at least as big as -0.1?
True
Which is smaller: -1884694 or -1884701?
-1884701
Which is smaller: -1 or -164/94211?
-1
Is 399636 smaller than 41/15?
False
Which is smaller: 1525 or -2751?
-2751
Is 0.6 at most -116989.5?
False
Which is smaller: -388014 or 277?
-388014
Which is smaller: 623.53133 or 20?
20
Is 9695030 bigger than 9695030?
False
Which is bigger: 2/786049261 or 0?
2/786049261
Which is smaller: 1.2 or -7374887?
-7374887
Are 0 and 3086/6839 non-equal?
True
Is 0.36304922 < -0.02?
False
Which is smaller: 0 or 1191/2422?
0
Which is smaller: 61 or -4.04224?
-4.04224
Which is bigger: 0 or 77.65758?
77.65758
Are -690444 and -689978 equal?
False
Which is smaller: 13060 or 643?
643
Is -160040 greater than -1082?
False
Do 2116 and 124930/59 have the same value?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
est value in -0.04, -9, -18, 0.0039?
0.0039
Which is the third smallest value? (a) -141 (b) -0.5 (c) -1/984
c
Which is the fifth biggest value? (a) -4 (b) 0.074 (c) -9/5 (d) 2/7 (e) -0.3
a
Which is the third biggest value? (a) -5 (b) 0.2 (c) 630 (d) 2 (e) 0.033 (f) -1/2
b
What is the second smallest value in -141, -3, 2/13, 4, 3/8?
-3
What is the third biggest value in 59/57, 5, 3, -1, -1/3?
59/57
What is the smallest value in -3/7, -43.81, -14, 4?
-43.81
What is the smallest value in -2, -3/4, -0.03, 20, 5, -9?
-9
Which is the second smallest value? (a) 22 (b) 57 (c) 9
a
What is the fifth smallest value in -1, 0.0023, 2, 5, 0?
5
Which is the biggest value? (a) -0.02 (b) 11449 (c) -2/15
b
Which is the third biggest value? (a) -0.14 (b) 1689 (c) -2/9 (d) 2/11
a
Which is the biggest value? (a) 8 (b) 0.05 (c) -5 (d) 4/3 (e) 5/2 (f) 66
f
What is the smallest value in -23, -7, 537?
-23
What is the second smallest value in 0.8, 16, -11, -1, 6?
-1
What is the fourth biggest value in -3/8, 3/8, -12/5, 2/1739, -1/6, -0.2?
-0.2
What is the fourth smallest value in -0.4, -3, -0.01, -5, -1/3?
-1/3
What is the fourth biggest value in -14/25, 14, -2/17, 3/4?
-14/25
Which is the third smallest value? (a) -13 (b) -48/7 (c) 106 (d) -2
d
Which is the fifth biggest value? (a) -1 (b) 0 (c) 33 (d) -0.17 (e) 0.1
a
What is the third smallest value in -107, -14910, -1/4?
-1/4
What is the fourth biggest value in 0.09, 1/11, 2/7, -9/44?
-9/44
Which is the second biggest value? (a) 0.08 (b) 5 (c) -10 (d) 6/19 (e) -3
d
What is the third smallest value in 1.1476, -0.5, -2/9, -16?
-2/9
What is the fifth biggest value in 1, -2/3, 1.98, -1, -25?
-25
What is the fifth smallest value in -3/5, -1.37, 1, 115, 3?
115
What is the third smallest value in 0.35, 21/29, 10?
10
What is the fifth biggest value in 5, -1/15, 2, -15, 3, -0.01?
-1/15
What is the second biggest value in -0.2, 340/11, 13?
13
Which is the fourth biggest value? (a) -0.5 (b) -0.01 (c) 4 (d) -3 (e) -30 (f) -0.1
a
What is the third smallest value in 5, -16.7, -2/9, -0.5, -1, -4?
-1
Which is the third biggest value? (a) -1 (b) -4 (c) 1/10202 (d) 1/3 (e) -2
a
What is the third biggest value in 5/11, 4, 0.4, -0.056, 1/14?
0.4
What is the second smallest value in 1, 0, 234, 5, 0.4?
0.4
What is the third biggest value in 0.17, -141, 31/6?
-141
What is the third biggest value in -16, 0.299, 5, 1, -0.2, -4/3?
0.299
What is the third biggest value in -0.1, -0.08, -17/5, 0.086?
-0.1
Which is the fifth biggest value? (a) 8/7 (b) 0.2 (c) 5 (d) 2/31 (e) -0.5
e
What is the third smallest value in 2044, -1/5, 5, -32?
5
What is the smallest value in -202, -101, 3/4?
-202
What is the smallest value in -0.2, 2, -2, -150, 0.2?
-150
What is the fifth smallest value in 4, -1/588, -4, 0.06, 1, -1/5?
1
Which is the third biggest value? (a) 157 (b) -2 (c) 61
b
What is the second biggest value in 0.2, -524, -296?
-296
Which is the fourth biggest value? (a) -2/35 (b) -6 (c) 0.9 (d) -0.06 (e) -4
e
What is the fifth smallest value in 788.3, -0.2, -2, -5, 2?
788.3
What is the fourth biggest value in 2/5, 4, 0.2, 64/7, -3?
0.2
What is the third biggest value in -1/2, -1160, 0.02?
-1160
Which is the fifth biggest value? (a) 5.26 (b) -0.2 (c) 4 (d) -3/7 (e) -0.5
e
Which is the third smallest value? (a) 14 (b) 0.5 (c) -9.768
a
Which is the second smallest value? (a) 4 (b) 2/33 (c) -2359
b
Which is the second smallest value? (a) 160 (b) 0 (c) 83
c
Which is the fourth biggest value? (a) 0.3 (b) -2/13 (c) 1/2 (d) 2/23 (e) -1185
b
Which is the second smallest value? (a) 5 (b) 1/6 (c) 4137
a
What is the second biggest value in -3, -2, -0.05, 1/658?
-0.05
What is the third biggest value in 2/9, -2/25, -2, -2/41, 13, 0.5?
2/9
Which is the second smallest value? (a) 2/5 (b) 0 (c) -0.11 (d) -2/11 (e) -0.155
e
Which is the smallest value? (a) 4 (b) 4/3 (c) 0 (d) -7
d
Which is the fourth smallest value? (a) 0.1 (b) -1 (c) -2/13 (d) -13/9250 (e) -0.2
d
Which is the fifth smallest value? (a) 5 (b) -0.2 (c) 4 (d) 6/7 (e) -171.63
a
What is the biggest value in 0.075, 2/595, 3/8, 0.5?
0.5
What is the smallest value in -9/11, 0.2, -2, -1/2, 24?
-2
Which is the second biggest value? (a) -1/7 (b) 0.1 (c) -1/3 (d) -5 (e) -34
a
Which is the third biggest value? (a) 2/13 (b) -0.2 (c) 140 (d) -24/7 (e) -0.08
e
What is the sixth smallest value in -0.1, -5, -8/5, -6, -5/3, 2?
2
Which is the third biggest value? (a) 0.009 (b) 6 (c) -5/19 (d) 0.2 (e) 4
d
What is the biggest value in -2, 0, 2, -6142.56?
2
What is the second smallest value in 0.8, 0.1, 0.3, 3/4?
0.3
What is the fourth biggest value in 9, 0, 2/13, -1, 1/3, 26.1?
2/13
What is the biggest value in 0.3, -6.2, 2140?
2140
What is the second smallest value in -25, 9/2, -4, 5, 3/8?
-4
What is the fourth biggest value in -125.5, -3, -2/11, 2?
-125.5
Which is the biggest value? (a) -2 (b) -0.4 (c) -3 (d) 4 (e) -48/31 (f) -1/7
d
Which is the second biggest value? (a) 5 (b) -2/7 (c) 0.049 (d) 1/14 (e) -0.1 (f) -2
d
Which is the second biggest value? (a) 0.1 (b) 0.4 (c) 43 (d) 3 (e) -1 (f) 4
f
Which is the second smallest value? (a) 6 (b) 3 (c) -5 (d) -497
c
Which is the fourth smallest value? (a) 6/5 (b) 4 (c) -0.1 (d) -0.05 (e) -80 (f) -1
d
Which is the smallest value? (a) -0.2 (b) -1675 (c) 2 (d) -44
b
What is the fifth smallest value in -0.4, 4, 194/3, -2, -4?
194/3
What is the third smallest value in 3, -28, -13, -8/13?
-8/13
What is the third smallest value in -4, -8589, 1?
1
Which is the fifth biggest value? (a) -0.016 (b) 13 (c) 70 (d) 4/5 (e) -1 (f) -4
e
What is the third biggest value in -1/2, 1480, 1/2, -0.02, -1?
-0.02
Which is the third biggest value? (a) -2/7 (b) -4 (c) 13497 (d) -2
d
Which is the sixth biggest value? (a) 3 (b) -0.1 (c) 2/877 (d) 0.4 (e) 16 (f) -5
f
Which is the sixth biggest value? (a) -0.2 (b) -9/5 (c) -0.1 (d) 14 (e) 2 (f) -2/11
b
Which is the biggest value? (a) 1/11 (b) -0.063 (c) -5/2 (d) -4
a
Which is the biggest value? (a) 1 (b) 93 (c) -66 (d) -0.4
b
What is the second biggest value in -2/7, 15816, 2/15?
2/15
What is the third smallest value in -283.4, -1.05, -5?
-1.05
Which is the fourth biggest value? (a) -137/4 (b) 0.4 (c) -0.04 (d) -0.4 (e) 2/9
d
Which is the fourth smallest value? (a) 59 (b) -0.3 (c) -13 (d) 0 (e) 1 (f) 14
e
Which is the fifth biggest value? (a) -5.7 (b) -4 (c) -2 (d) 28 (e) 4
a
Which is the smallest value? (a) -443 (b) 2 (c) 17/3 (d) 0.5
a
Which is the fifth biggest value? (a) 2/3 (b) 241 (c) 2/11 (d) 0 (e) 3
d
Which is the second biggest value? (a) 1 (b) -3 (c) 1532.69 (d) -0.1
a
What is the fourth smallest value in -9/2, 3, -2703, -0.2?
3
What is the second smallest value in 4/23, -5, -38, 6?
-5
Which is the second smallest value? (a) -2 (b) -19 (c) 97
a
What is the fifth biggest value in -2, 4, -4, 0.08, 2/19?
-4
What is the biggest value in -2, -230/7, -91?
-2
Which is the second biggest value? (a) -5 (b) -159/4 (c) 76.2
a
Which is the biggest value? (a) 1/43 (b) -62 (c) -0.4 (d) 6
d
What is the smallest value in -0.1, -7, 3/5, -67?
-67
What is the second smallest value in -1.8535, -0.1, 15?
-0.1
Which is the second smallest value? (a) 200/7 (b) -1 (c) 0.4 (d) -0.1 (e) 3 (f) -36
b
Which is the third smallest value? (a) 35 (b) -0.1 (c) 0.0112
a
What is the biggest value in -0.162, -3, 14, 50?
50
What is the second smallest value in 1/4, -152, -0.2, 4?
-0.2
What is the sixth biggest value in -0.1, 9/2887, 2, -0.5, 1, -0.3?
-0.5
Which is the second smallest value? (a) -53/4 (b) -17737 (c) -0.3
a
What is the second biggest value in -5, -4, 1, -0.2, -174?
-0.2
Which is the second smallest value? (a) 2 (b) 5057 (c) 0.04
a
What is the biggest value in 31, -7, -0.2, 0, -1, -6?
31
Which is the smallest value? (a) 50 (b) -8 (c) -63 (d) 3/7
c
What is the smallest value in 3/2, -52/9, -2/11, -0.4?
-52/9
Which is the third smallest value? (a) 5 (b) -2 (c) -91 (d) 0.01
d
Which is the biggest value? (a) 368 (b) -19 (c) -1/3
a
Which is the second smallest value? (a) -13/54 (b) -7 (c) -0.2 (d) -3/2 (e) 1.11
d
Which i
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the value of 3*-1 - 594/(-231)?
-3/7
What is 2 - -20*3/(-33)?
2/11
What is (-16)/(-56)*14 - 1?
3
What is (17/12)/17 - 2/8?
-1/6
375/(-55) - 7/(-1)
2/11
What is (588/580 - 1)*(57 + -62)?
-2/29
What is the value of 2/(-65)*15/(-3)?
2/13
Calculate -10 + (4/(-7) - 125/(-35)).
-7
Evaluate (0 - 4/(-96))*(15 - 6).
3/8
6 + (-26)/(-65)*(-95)/6
-1/3
128/48 - 29/12
1/4
-5*(-6 - 34/(-6))
5/3
Calculate (-1)/5 - 6/(-30).
0
Evaluate 1/13*(-72)/(-36).
2/13
Evaluate (-2)/6 - (-4)/12.
0
Evaluate 2/22*-11*(-5)/2.
5/2
What is (-12)/(-14) - 42/49?
0
What is 56/(-2)*((-1200)/(-112) + -11)?
8
((-1)/13)/(1/2)
-2/13
What is the value of (-34)/7 + 49 + -44?
1/7
Calculate (4/(-10))/(-2) - 12/10.
-1
What is 64/48*(-2 - (-34)/16)?
1/6
(-2)/8 - (-22)/(-40)
-4/5
348/435*2/(-2)
-4/5
Evaluate -8 + 1533/119 + (-20)/4.
-2/17
Evaluate (-21)/28*-7 - 6.
-3/4
(6624/351)/23 - 2/3
2/13
Evaluate 345/575*5/(-2)*1.
-3/2
What is (-1147)/518 + (-4)/14?
-5/2
1 + (11 - 2)/(3/(-2))
-5
Calculate (0 - (-38)/(-7)) + 60/(-105).
-6
Calculate -1 + 0 + -6 + 0/(-58).
-7
What is the value of ((-55)/33 + 5)*(-6)/25?
-4/5
What is (-4*35/(-42))/(-1*4)?
-5/6
(10/24)/((-55)/(-88))
2/3
Calculate -7 + -1*(-8 + 5).
-4
What is ((-486)/1512)/((-6)/(-7))?
-3/8
Evaluate ((-8)/8)/(4 + -6).
1/2
What is (12/14)/((-2)/(12 - -2))?
-6
What is -8 + -5 + 245/19?
-2/19
Calculate (10 - -5)/((-3)/6*-6).
5
4 + 9/(-3) - (-28)/(-35)
1/5
Calculate (6/8)/(243/(-72)).
-2/9
Evaluate (64/(-14))/1 + 76/19.
-4/7
Calculate (3 + 258/(-90))/(8/12).
1/5
Evaluate ((-3)/(-20))/(495/(-44) - -9).
-1/15
Evaluate 0 - (35/30)/(-7).
1/6
Evaluate (6 + -8)*(-1)/(-2).
-1
What is the value of 3*(-2)/165*(-18 + 23)?
-2/11
Evaluate 10/3*(-96)/(-64).
5
Evaluate (5/(-42))/5 - 8/56.
-1/6
What is the value of 2/(5 + 44/(-12))?
3/2
Evaluate ((-668)/501)/((-8)/(-18)).
-3
Calculate (6/(-3))/(-11 - 36/(-3)).
-2
What is (5 + (-74)/14)*14/(-10)?
2/5
What is the value of (16/(-340))/(2/5)?
-2/17
What is (10*(-3)/(-18))/(20/24)?
2
10/(-4) + -7 + (-77)/(-14)
-4
1/33*6 - (-994)/462
7/3
1 - (33/(-110) - (-16)/20)
1/2
What is the value of -2*(-5)/(-30)*0/2?
0
What is the value of (-6 - 66/(-12))/(14/12)?
-3/7
What is the value of ((-8)/10)/((-168)/20)?
2/21
What is the value of (-2 - -2)/1 - 4/(-18)?
2/9
((-2)/(-7))/(96/420)
5/4
What is 3/(-4) - (-2 + 1)?
1/4
Calculate ((-42)/56)/(3/(-2))*6.
3
Calculate 10/5*(4 + (-52)/8).
-5
Evaluate (5/10 + -1)*6.
-3
6/(-9)*(-4)/6
4/9
What is the value of -6*-4*2/(-48)?
-1
Evaluate (20/(-70))/((-12)/(-252)).
-6
Calculate -1 + 2 + (-3 - -8).
6
Evaluate ((-56)/63 - 0)/((-4)/18).
4
(-7 - (5 - 4)) + 7
-1
Evaluate (-4)/22 - 42/11 - 2.
-6
Evaluate ((-112)/(-35) + -3)*25.
5
What is the value of 1 + (-27)/21 - (-64)/77?
6/11
((-70)/21)/((-8)/(-12))
-5
What is the value of (-1 + 55/(-20))*2/(-6)?
5/4
What is (7 + 46/(-6))*9/2?
-3
What is (2/7)/(57/133)?
2/3
What is (-52)/(-18) - (15 - 0)/5?
-1/9
Evaluate (-279)/124*8/6.
-3
Calculate (150/(-26))/5 + 1.
-2/13
Evaluate ((-105)/(-10) - 12)*4.
-6
What is ((-4)/8)/(-10 - -12)?
-1/4
Calculate 0/(-14) + (5 - 0).
5
Evaluate (13/117)/((-5)/6).
-2/15
What is (0 - (1 + -6) - -2)*-1?
-7
Calculate (-2)/(-9) + (-340)/180*-2.
4
What is the value of 130/520*14/(-2)?
-7/4
0 - -2 - (-5)/5
3
What is the value of 12/51*(-4)/8?
-2/17
Evaluate 1/6*2*484/(-242).
-2/3
(-3)/6*-2 - (-1 - -1)
1
What is 77/147*6 - 1/7?
3
(-2)/(-5) - (8 - (-192)/(-20))
2
What is ((-6)/(-99))/(16/12 + -1)?
2/11
Calculate (6/16 + (-403)/(-248))/(-1).
-2
What is (33/154)/(24/80)?
5/7
What is 7/(140/(-16)) + (-19)/(-5)?
3
Evaluate (4 + (-310)/78)/(2/(-12)).
-2/13
What is (3/(5 + 4))/(-3 - -2)?
-1/3
What is ((-8)/10)/(4/(-10))?
2
Calculate -3 - 32/(-4)*1.
5
What is 1/1*(4 - 3)?
1
What is 4/(-3)*(-3)/2?
2
(2 - 22/12)/((-5)/(-20))
2/3
Calculate 91/52 - (-1)/4.
2
Evaluate 60/52 + (-14)/91.
1
What is the value of (10/4)/((-1)/2)?
-5
Evaluate 0*(2*-2 + (-9)/(-3)).
0
Calculate 214/30 + (-134)/1005.
7
Calculate -75 + 85 + (-37)/4.
3/4
What is the value of (30/(-45))/(11/3)?
-2/11
What is the value of ((-6)/(-10))/((-176)/80)?
-3/11
Evaluate (-11 - -11) + 3*(-4)/(-30).
2/5
Calculate (-24)/(-20)*(-5)/(-2).
3
What is 3/(-4) - (-12943)/1204?
10
(-12)/312*4 + 40/(-78)
-2/3
Evaluate (-25)/(-35)*(-34)/(-85).
2/7
567/405 + 1/(-1)
2/5
Calculate ((-10)/25)/(19/(-25) - -1).
-5/3
Evaluate -20*(342/30 - 11).
-8
What is the value of -1 - -5*(-3)/30?
-3/2
What is the value of (-1 - 4)*(-20 + 6)/28?
5/2
Calculate 4/10 - (17 + 236/(-10)).
7
What is (2 - 86/40)*155/186?
-1/8
Evaluate 100/50 + (2 - 3) + 7.
8
What is ((-4)/14)/((-64)/56)?
1/4
(-2)/6*30*1/2
-5
What is the value of (20/90)/(80/90)?
1/4
What is (-1 + 4)*(15/(-9) + 3)?
4
-2 - (9/90 + -2)
-1/10
What is the value of (240/600)/(1/((-10)/(-4)))?
1
What is the value of (-5)/(-45)*(-12)/(-8)*2?
1/3
What is the value of 11 + 2*188/(-32)?
-3/4
4/10 + (-4)/(-20)
3/5
What is the value of -6*2/(-15)*(-80)/(-32)?
2
Calculate (-880)/120 + 8/6.
-6
(36/8 - 6)/(-1 + -5)
1/4
What is the value of -1*(2 + 12)*18/(-63)?
4
(-13)/(-78)*(-1 - (-3 - -5))
-1/2
Calculate (-351)/51 + 1 - 108/918.
-6
Calculate -12*((-20)/6 - 1 - -5).
-8
Calculate 3031/9526*(-8)/(-14)*-1.
-2/11
(-2)/2 - -5 - 0
4
Calculate (-496)/(-176) - (-2 + 5).
-2/11
What is the value of (-44)/(-9) + (8 - -77)/(-17)?
-1/9
What is the value of ((-36)/264)/(3/4)?
-2/11
Calculate 1/4 + (-891)/(-132) + -15.
-8
2/(7 + -1)*6/17
2/17
What is the value of (-158 - -156)*(-6)/(-4)?
-3
Calculate 336/66 - (-12)/(-132).
5
(2/(-6))/((-14)/(-84))
-2
1*(-4 - 0) + -1 + 2
-3
100/22 - (104 - 100)
6/11
Calculate 117/(-15) - (-33)/(-165).
-8
Evaluate 4*3/(-36)*-15.
5
What is (-42)/(-3) + (9 - (6 + 7))?
10
What is 2 + 6/(-3) - 2/(-18)?
1/9
Calculate ((-2)/12*-2)/((-5)/(-90)).
6
Evaluate 8 + -5 - (7/(-1))/(-7).
2
What is 27/6 + 96/(-24)?
1/2
Evaluate -9 + 430/50 - 54/(-10).
5
What is the value of (-2)/17 + 660/(-170)?
-4
What is the value of ((-7)/(-28))/((-4)/((-16)/(-5)))?
-1/5
Calculate (0 + 4)/4 + 4.
5
What is the value of -1 - ((-4)/(-2) - (-676)/(-234))?
-1/9
What is the value of (-28)/(-12) - ((6 - 2) + -2)?
1/3
Calculate (-12)/8 - -3 - (-5)/10.
2
Calculate (-1)/((-7)/(-3)) + (-24)/(-7).
3
What is the value of (-4 + 68/12)*4/(-10)?
-2/3
What is the value of (-5)/(4*3/12)?
-5
Calculate 3/2 - (-679)/(-582).
1/3
125/(-100) + (434/(-40))/(-7)
3/10
Evaluate -21 + 15 + -2 + 20/3.
-4/3
Calculate (-3)/5*(-2)/(-6).
-1/5
(195/104 - 1)*-8
-7
((-13)/(260/50))/(-1)
5/2
1/(-1) - (-15)/25
-2/5
Evaluate (-57)/(-144)*4 + (-30)/40.
5/6
Calculate ((-5)/(-2))/(236/24 - 9).
3
What is (-5)/2*(-29)/(-145)?
-1/2
What is 4/5*(57/(-18) + 4)?
2/3
Calculate (-2)/4 - 11/66.
-2/3
Calculate (8 + 4)/4 - 125/40.
-1/8
(-7)/(-28) + (-1)/(3 + -2)
-3/4
Evaluate -4 - (-2 + (-65)/(-55) + -3).
-2/11
Calculate 759/(-132) + (-1)/4.
-6
What is the value of (-1)/2 - 1/(-6)?
-1/3
(-4)/(-58) - 1053/3915
-1/5
Evaluate (-36)/(-8) + -5 - 13/(-18).
2/9
What is the value of 18/(-324) + (-185)/(-90)?
2
Evaluate (-31)/((-1705)/(-22))*10/2.
-2
What is 8/144*6*1?
1/3
Evaluate -10 + 225/20 - 106/72.
-2/9
What is 2/5 - 7/35?
1/5
What is the value of (-1 - (-11 - -2)) + (-4 - 0)?
4
Calculate 10/(-6) - -10*4/(-120).
-2
What is the value of (-1)/(-5) + (-75)/(-875)?
2/7
2 + 1 + 1 + -4
0
Calculate (1 + (-15)/6)*(-2)/(-12).
-1/4
Evaluate 2/(-1) - (0 - 48/30).
-2/5
What is (-1264)/176 - -1*(-2)/(-11)?
-7
Evaluate (-1)/(-1) + (-3)/((-30)/(-14)).
-2/5
(-4 + (-85)/(-20))/(2/8)
1
Calculate 3 - (-100)/(-30)*(-30)/(-36).
2/9
Calculate -2*(-5)/(-500)*5*-2.
1/5
Calculate 11/((-77)/(-56)) - 6.
2
Calculate (7/(42/8))/(4/(-6)).
-2
Evaluate 22/(-20) - (-208)/130.
1/2
What is the value of (1/(-6))/((-2277)/(-126) - 18)?
-7/3
(5 - (1 - -7)) + 4
1
Evaluate (0 - 4) + 12/4.
-1
(-75)/(-65) - 3 - 8/52
-2
What is 3/(-1) + 5 - (-16)/(-10)?
2/5
Evaluate 6*4/(-160) + 6/15.
1/4
What is the value of (-9 + 528/64)/((-2)/(-16))?
-6
What is the value of (6 + -20)*(35/(-10) + 3)?
7
80/50 - (-60)/25
4
Calculate 10 + (-3 - ((-1)/1 + 2)).
6
What is the value of 2/4*-3*24/180?
-1/5
Calculate (85/25 - 4) + 1.
2/5
What is 1/3*((8 - 8) + 0)?
0
What is (325/(-15))/(-5) + -5?
-2/3
(-620)/186*(-2)/10
2/3
4 + -5 + 4/(-8)*-8
3
What is the value of ((-5)/(-35))/(6/21)?
1/2
Evaluate -1*4 - ((-1)/1 - -2).
-5
Calculate -17 + 29 + 14/(-2).
5
(4/42)/(40/120)
2/7
What is (-
|
{
"pile_set_name": "DM Mathematics"
}
|
+ d*j**2 and give b.
1
Express (11 - 10*m - 11)*(-2*m**3 + m**3 + 0*m**3) - 2*m**4 + 4*m**4 + 0*m**4 in the form w + y*m**2 + v*m + z*m**3 + n*m**4 and give n.
12
Rearrange (0*w**4 + 0*w**4 + 4*w**4)*(0 - 5 + 4)*(1 - 3 + 1) to v*w**2 + l*w + i*w**3 + o*w**4 + t and give o.
4
Rearrange 8*j + 36*j - 6*j to the form o + n*j and give n.
38
Rearrange -p - p**4 - 6*p**2 - 1 + 2*p**4 + 3*p + 8*p**2 to i*p**3 + b*p**4 + x*p**2 + w*p + u and give x.
2
Rearrange 0*s**2 - 7*s**2 - 17*s**2 + s**2 to the form v*s + w*s**2 + x and give w.
-23
Express -3*b**4 + b**2 + 3*b - 1 + 5*b**2 + b**4 - 5*b**2 as s*b + m + u*b**2 + k*b**4 + q*b**3 and give u.
1
Rearrange (0*g**2 + 2*g**2 + g**2)*((0 + 2*g + 0)*(-4 + 4 + 2) + g + g - 3*g) to the form o*g + k*g**3 + h*g**2 + r and give k.
9
Rearrange (-4 + 4 + a)*(-22 + 1 + 9)*(0 + 2 - 4) to w + d*a and give d.
24
Express -3*a**2 + 2*a**2 + 2*a**2 + (-a - a + 4*a)*(-a + 5*a - 5*a) as c + k*a**2 + x*a and give k.
-1
Express (-m - m + 0*m)*(2 + 0 - 3) + 506 + 500 + 55*m - 1006 in the form i + u*m and give u.
57
Express -l**3 - 3 + 2 + 2*l - 3*l + 0 in the form d*l**3 + f*l**2 + k + g*l and give k.
-1
Rearrange 2*b - 2*b + 2*b + (-9 - 3 - 43)*(3*b - 2*b + 0*b) to f + t*b and give t.
-53
Rearrange 2*w - 5*w + 288 - 6*w - 285 to h + g*w and give h.
3
Rearrange (-2 + 2 + 2)*(0*m + m - 2*m) - 13*m - 6*m + 6*m + (-5 + 2 + 2)*(-3*m + 0*m + m) + m - 2*m + 3*m to the form u*m + w and give u.
-11
Rearrange -2 + 0*f**3 + 2*f**3 + 3 + 7*f**2 - f - 2*f**2 to o*f**3 + q*f**2 + m*f + p and give q.
5
Express (-6 - 2 + 3 - 2*a)*(-1 + 3 + 1) in the form u*a + w and give u.
-6
Rearrange (-2 + 3 + 0 - 6)*(15 - 15 + 11*h) to x*h + v and give x.
-55
Express 0*g - g - 5*g**3 + 4*g**3 as n*g**2 + u + p*g + s*g**3 and give s.
-1
Express -7*s - s - s - 4*s as m + u*s and give u.
-13
Express -99 + 99 - 53*b as v + n*b and give n.
-53
Express 37*j + 12 - 9 - 3 as d*j + i and give d.
37
Rearrange 13*n + 3*n**2 - 31*n + 17*n - 1 + 2*n**3 to l*n**3 + d*n**2 + r + o*n and give d.
3
Express -24*u**4 - 6*u**4 + 8*u**4 + (-2*u + u**4 + 2*u)*(1 - 2 - 1) as o + q*u**3 + v*u**2 + z*u + x*u**4 and give x.
-24
Rearrange (-n + 5 - 5)*(-1 - 1 - 1 + (-2 + 1 + 0)*(0 + 1 + 0) + 0 + 3 - 9) to l*n + x and give l.
10
Rearrange (0 + 3 - 4)*(22*t + 10*t - 13*t) to the form z*t + v and give z.
-19
Rearrange -1 - 20*o**4 - 2*o**2 + 36*o**4 - o**3 - 15*o**4 + 2*o to the form g*o + z*o**2 + n*o**3 + i*o**4 + u and give i.
1
Express (3 + 1 - 1 + (-1 + 4 - 1)*(3 - 2 - 3))*(q**4 - 4*q**4 + 0*q**4) as k*q + a + c*q**4 + w*q**2 + y*q**3 and give c.
3
Rearrange (-11*o + 5*o + 4*o - 18)*(4 - 1 + 0) to j*o + v and give j.
-6
Express (-6*n + 4*n + n)*(n + 5 - 5 - 3) in the form m + d*n**2 + j*n and give d.
-1
Express -55*b**4 + 1 + 54*b**4 + 2*b**3 + 2 + 10*b**2 - 1 as j*b**4 + s + p*b + w*b**3 + l*b**2 and give j.
-1
Rearrange (-3*c - 9*c + 0*c)*(1 - 4*c**2 - 1)*(2 - 2 + 1) to the form j*c**2 + t + a*c**3 + g*c and give g.
0
Rearrange 0 - 2*l + 0 - l + 3*l - 4*l + (4 + 0 - 1)*(-l - 1 + 1) - 3*l + 2*l + 3*l to the form m*l + b and give m.
-5
Express -4*u**2 + u**2 - 4*u**3 - 3*u + 3*u + 2*u in the form p*u**2 + y*u + v*u**3 + j and give j.
0
Rearrange -3*s + 3*s - 6*s - 3*s**2 to r + c*s + q*s**2 and give q.
-3
Rearrange (124*t**4 - 65*t**4 - 91*t**4)*(5 - 2 - 2) to o*t**2 + u*t**4 + x*t**3 + r*t + m and give u.
-32
Express 4*d**2 - 5*d**2 - 4*d**2 as t*d + a + u*d**2 and give u.
-5
Express -4*t**2 - 5*t**2 + 0*t**2 + t**3 - 2*t**2 as z*t**3 + d + r*t + o*t**2 and give z.
1
Rearrange 25*y - 5*y - 6*y + 11*y to the form o*y + p and give o.
25
Rearrange -1 - 17*c - 4*c + 1 to l*c + b and give l.
-21
Express 5 + 4 - 4*y**4 - y**3 - 12 in the form v*y**3 + a*y + f*y**4 + i + s*y**2 and give f.
-4
Rearrange -12*z**2 - 5*z**4 + 5*z**2 + z + 4*z**2 to the form o*z + k*z**3 + c*z**2 + b + i*z**4 and give i.
-5
Rearrange 2*m**2 + m**4 - 3*m**4 - 1 - 28*m**3 + 30*m**3 to n*m**3 + d*m**4 + b*m + u*m**2 + g and give g.
-1
Rearrange n + 0*n - 3*n + (2 + 3*n - 2)*(4 - 3 - 4) + 2 - 2 - 2*n + 0*n + 5*n - 4*n to the form i + l*n and give l.
-12
Rearrange -2*x**2 - 17 - 26 + 34 to the form z*x + d + w*x**2 and give w.
-2
Express -2*d**2 - 3 + 0*d**2 + 6 in the form x + g*d**2 + i*d and give x.
3
Rearrange -4*p**3 - 4*p**3 + 5*p**3 - 4*p - 9*p**3 to the form x + y*p**3 + z*p + h*p**2 and give y.
-12
Express (0 - 2 + 0)*(-60*x - 53*x + 35*x) as l*x + y and give y.
0
Rearrange (5 + 2 - 3)*(24 + w - 15 - 16) to the form i*w + b and give b.
-28
Express 24 - 10 + 15*o - 14 as c + q*o and give q.
15
Express -9*w - 1 + 7*w**2 - w**3 - 7*w**2 + 6 as z + u*w**3 + y*w + o*w**2 and give u.
-1
Express -17 + 145*w + 34 - 17 in the form u + q*w and give q.
145
Express 3*t**2 + 16*t**3 - 5*t**2 - 14*t**3 + 2*t - 1 as s*t + p*t**3 + w + y*t**2 and give w.
-1
Rearrange 2*s**2 + 4*s**3 + 3*s**2 - 2*s**2 to the form v*s + t*s**2 + p*s**3 + i and give p.
4
Rearrange (5*u + 2*u - 5*u)*(42*u - 83*u - 25 + 43*u) to the form y*u + m*u**2 + s and give m.
4
Rearrange -5*q**4 + 5*q**2 + 2*q**3 - 2 - 15*q - q**4 + 16*q + 4*q**4 to the form h*q + i + b*q**3 + v*q**2 + a*q**4 and give v.
5
Rearrange 10*s - 185 + 185 to the form o + c*s and give c.
10
Rearrange (-6 - 2*g + 3 + 1)*(222*g - 222*g + g**2 + 79) to x*g + t*g**2 + o + p*g**3 and give t.
-2
Rearrange 2 - 4*k**2 + 5 + 6*k**2 to g + b*k + p*k**2 and give g.
7
Rearrange (-2*i - i + i + (1 + 3 - 5)*(i + 2*i - i) - i + 0*i - i)*(-i + i - i**3) to the form c*i + w + o*i**3 + d*i**2 + n*i**4 and give n.
6
Rearrange 2*b - 6*b - 3*b to x*b + w and give x.
-7
Express (2*r - 3 + 3 + (-3 + 0 + 2)*(1 - 1 - r))*(5 - 2 + 0)*(0 + 1 + 0)*(-50 + 108 - 94) in the form t + k*r and give k.
-324
Express (3*k**3 - 2*k**3 + k**3)*(-29 + 7*k + 29) as y + t*k**3 + q*k**4 + n*k + h*k**2 and give t.
0
Rearrange -3*q**3 + 2*q - 2*q + (-2*q - q**2 + 2*q)*(2*q - 1 + 1) + (-q + q + 5*q**2)*(-4 + 4 + 3*q) to the form o*q**2 + b*q + l + g*q**3 and give g.
10
Rearrange (2*n - 4*n + n)*(54*n**3 - 46*n**3 + 46*n**3 + 97*n**3) to q*n + s*n**4 + z + x*n**3 + d*n**2 and give s.
-151
Rearrange 26 - 15 + 7*q**2 - 13 to the form h*q**2 + d + p*q and give d.
-2
Rearrange 8*y**2 - 2 + 4*y - 4*y - 3*y**2 to the form l + s*y + m*y**2 and give l.
-2
Rearrange (-2*b + 5*b - 5*b - 8)*(b + 29 - 29 - 12*b**3) to the form h*b + f*b**3 + i + s*b**4 + a*b**2 and give a.
-2
Rearrange 0*f - 4*f + 8*f + f to the form k*f + u and give k.
5
Rearrange p**4 - 2*p**3 + 4*p**2 + 4*p**3 - 2*p**3 - 4*p**3 to the form l*p**4 + b*p**3 + t*p**2 + f + o*p and give t.
4
Rearrange (-z**3 + 7 - 7 - 22*z)*(4 + 0 - 3) to o*z + h*z**2 + q*z**3 + b and give o.
-22
Rearrange (6*k + 2 + 0 - 7*k)*(0*k + 6*k + 6*k) to the form d*k**2 + u*k + z and give d.
-12
Rearrange (4*r**2 + 2*r**2 - 4*r**2)*(190*r + 151*r - 464*r) to the form t*r + k + u*r**3 + x*r**2 and give u.
-246
Rearrange 3*b**2 + 5*b**2 + 2*b**2 to the form a*b + z + y*b**2 and give y.
10
Rearrange -54*o**3 - 64 + 63 - 109*o**3 to y*o + t + i*o**3 + c*o**2 and give t.
-1
Rearrange 8*q - 4 - q**3 - 8*q to a*q + u + r*q**3 + m*q**2 and give r.
-1
Rearrange -5*y - 3*y + 2*y - 3*y to w*y + c and give w.
-9
Rearrange -2*h - 1 + 1 + (-2*h + 0*h + 4*h)*(-3 - 3 + 5) - 2*h - 3*h + 3*h + 3*h - 3*h + 4*h to m*h + o and give m.
-2
Express 27 - k**3 - 2*k**2 - 18 - k + k as c*k + o*k**2 + f + t*k**3 and give f.
9
Express 2 - 2*v**2 - v**3 + 14*v - v**2 - 12*v - 3*v**4 - 3*v**2 as n*v**2 + d + c*v**3 + f*v**4 + p*v and give p.
2
Express -2*c**2 + 0*c**2 + 4*c**2 in the form u*c**2 + l + b*c and give u.
2
Rearrange -25*u + 114*u - 2*u to the form p*u + h and give p.
87
Rearrange 50*b**2 + 27*b**2 - 35*b**2 + b to n*b + r*b**2 + w and give r.
42
Rearrange (2 - 4 + 1 - 6*g)*(-9*g**3 - 6*g**3 - 3*g**3) to the form l*g**3 + m*g**4 + n*g**2 + x*g + b and give m.
108
Rearrange (-j + 3*j - j)*(143*j**2 - 38*j**3 - 143*j**2) to s + a*j**2 + k*j**4 + g*j**3 + t*j and give k.
-38
Express (0*f - 3*f + 2*f)*((91 - 91 + 25*f)*(2*f + 0*f - f) + (0*f + 2*f + 0*f)*(f + 3 - 3)) as j*f**3 + t + v*f + n*f**2 and give j.
-27
Rearrange 12*u - 3*u - 7*u - 3*u**2 - 1 - u**3 to the form t*u**3 + n + h*u + s*u**2 and give s.
-3
Express (6 - 1 - 3)*(-1 - 1 + 4)*(-3*i - i + 13*i) as m + u*i and give u.
36
Rearrange (-3 - i +
|
{
"pile_set_name": "DM Mathematics"
}
|
form u*j**3 + b*j**2 + l*j + z and give u.
7
Express -2*j + j + 7 + 12 + (-3 + 2 + 3)*(3*j + 4*j - 6*j) as k + z*j and give k.
19
Express ((3*t - 3*t - 6*t)*(-2*t**2 + 2*t**2 - 2*t**2) - t - 2*t**3 + t)*(-3 - 1 + 3)*(15*t - t + 3*t) as r*t**3 + q*t**4 + c + p*t**2 + k*t and give q.
-170
Rearrange 20 - 2*t**2 - 14 + 12 + (-t + 3*t - t)*(-5*t + 6*t - 7*t) to b*t + z*t**2 + m and give m.
18
Rearrange (o**2 + 1 - 1)*(-607*o + 801*o + 355*o) to f*o + r*o**2 + t + u*o**3 and give u.
549
Express 3*y - 20*y + y + 9*y + 8*y + 7 as g*y + l and give g.
1
Rearrange -104*c + 104*c - 19*c**2 - 145*c**2 to the form p*c + z + k*c**2 and give k.
-164
Rearrange (0*j**2 + 7*j**2 + 12*j**2)*(-3*j**2 - 3*j**2 + 4*j**2 + (-j - j - 2*j)*(2*j + j - 4*j)) to the form k*j + l + w*j**4 + z*j**3 + v*j**2 and give z.
0
Express 1235*u - 18*u**3 + 57*u**3 - 1205*u as a*u**3 + m*u + z*u**2 + j and give a.
39
Rearrange (6*s + 6*s - 5*s)*((-2 - 2 + 3)*(-3*s + 3*s - s) + 6*s - 6*s + 2*s + (4 - 3 - 3)*(6*s - 4*s - 4*s)) to n*s + m + c*s**2 and give c.
49
Rearrange -a**4 + 3*a**4 - 65*a**3 + a**4 + 2*a + 0*a**4 - 2*a**4 to l*a**2 + n + f*a**4 + p*a**3 + j*a and give j.
2
Rearrange (-22*v - 2*v + 45*v)*(3 + 0 - 2)*(2 + 2 + 0) to the form h + q*v and give q.
84
Express 4 + 10705*y**4 - 4*y - 5*y**2 - 10707*y**4 + 2 + 0 as g*y**4 + r + p*y**3 + q*y + s*y**2 and give g.
-2
Rearrange 10 + 80*l**2 - 9*l**2 - 6 - 1 to the form c + q*l + t*l**2 and give q.
0
Rearrange 65 - 41*t - t - 65 to the form v*t + g and give g.
0
Rearrange 51 - 23 - 28 - 222*o**2 to j*o**2 + t + f*o and give j.
-222
Rearrange 668*k + 410*k - 12*k to the form p + h*k and give h.
1066
Express (-3*h + 2*h**2 + 3*h)*(-3*h**2 + h**2 + 0*h**2) + 799*h**3 + 179*h**4 - 799*h**3 as k + d*h + w*h**4 + o*h**3 + f*h**2 and give w.
175
Rearrange (1 - 2 + 0)*(525 - 525 + 33*k)*(-3 + 9 + 2) to t + z*k and give z.
-264
Rearrange -136*o**3 + 259*o**3 - 127*o**3 + (0 + 0 + o)*(-2 + 2 + o**2) to the form w*o + n*o**3 + u + b*o**2 and give n.
-3
Express -3 - 15 + 18 - 105*m as i*m + w and give i.
-105
Express -13511*o + 348*o**2 + 13511*o as g*o**2 + m*o + a and give g.
348
Express (-2 + 2 + 3*o**3 + (3 - 3 - 2)*(5*o**3 - 4*o**3 + 2*o**3))*(-7*o - 8*o - 10*o) as n*o**3 + p + f*o**2 + k*o**4 + j*o and give k.
75
Rearrange (t + 0 + 0)*(4*t**2 + 4*t**2 - 6*t**2 + (-t + 5*t + 2*t)*(2 + t - 2) + (t - 2*t + 4*t)*(t - 5 + 5)) to the form n*t**3 + u*t**2 + j + a*t and give n.
11
Rearrange (18*y + 32 - 32)*(3 + 1 - 6)*(-474 + 249 + 245) to p + d*y and give d.
-720
Express -2*c + 2*c**3 + 2*c + (3010 - 3010 + 198*c**2)*(3*c - 3 + 5 - 3) in the form z*c**3 + v + k*c + f*c**2 and give k.
0
Express 0*c**2 - 4*c**2 + 2*c**2 + (-2*c - c + 5*c)*(2 - 2 - 2*c) - 2*c**2 + 1 - 1 + (17*c**2 + 34*c**2 - 20*c**2)*(3 - 2 + 1) as t*c + j*c**2 + y and give j.
54
Rearrange 3 - 93957*x - 3 + 93860*x to the form p*x + w and give p.
-97
Rearrange -121*b - 77*b + 68*b to r + v*b and give v.
-130
Rearrange 484*t**3 + 4*t**2 - 994*t**3 + 473*t**3 - 2 + 0 to the form b*t**3 + y*t**2 + i*t + v and give y.
4
Express 29*z - 1 + 15 - 13 as q*z + h and give q.
29
Rearrange (-21784*w + 21784*w - 10*w**3 - 2*w**2)*(3 - w - 3) to k*w**2 + z*w**3 + h + s*w**4 + m*w and give z.
2
Express 24 + 5*r**3 - 5*r**4 - r**4 - 55 + 4*r**4 + 28 as x + u*r**4 + h*r**2 + g*r**3 + d*r and give x.
-3
Rearrange -19*c**2 + 25*c**2 + 0*c - c + (3*c**2 - c**2 + 2*c**2)*(-4 + 4 + 2) + (-c + 6*c - 2*c)*(6*c - 2*c - 5*c) to v + m*c**2 + p*c and give m.
11
Rearrange (4*p**2 + 4*p**2 - 4*p**2)*(-3*p + 12*p + 13*p) to k*p + w*p**3 + u + q*p**2 and give w.
88
Express 2739 + 367*j**2 - 2739 as a*j**2 + o + r*j and give a.
367
Express (-263*r**2 + 20333 - 20333)*(3*r**2 - 3*r**2 - 2*r**2) in the form c*r + p + d*r**4 + h*r**2 + g*r**3 and give h.
0
Rearrange -331926*u + 178*u**2 + 82*u**2 + 331926*u to the form q*u**2 + j + c*u and give q.
260
Rearrange -g + 0*g + 2*g + (-2 + g + 2)*(-2 + 1 - 1) + 2*g - g - 4*g - 3*g - 2*g + 7*g + 2*g + g + 0*g to the form o + t*g and give t.
1
Express -7*l**4 - l**4 + 13*l**4 + (0 - 1 + 3)*(-1 - l + 1)*(-l + 0 + 0)*(2*l**2 - 2*l**2 - 2*l**2) as m*l**3 + z + j*l + b*l**2 + h*l**4 and give h.
1
Express 10*u**2 - 18*u**2 + u**2 + 3*u**2 - 62*u**3 as o*u + i*u**3 + r*u**2 + g and give i.
-62
Rearrange -3 - 198*i + 52*i**4 - 3 + 196*i + 4 - 4*i**3 + 2*i**3 to f*i + x*i**2 + a*i**4 + c*i**3 + u and give c.
-2
Express -2*h**2 + h**2 + 3*h**2 + (24*h + 73*h - 27*h)*(4 + 0 - 1)*(-1 + 1 + h) in the form a*h + i + y*h**2 and give y.
212
Rearrange (14 + 38 - 15)*(2 - 1 + 1)*(3*g - 2*g + g) to u*g + x and give u.
148
Rearrange (3 - 5 + 3)*(45 - 9*b - 45) to j*b + g and give j.
-9
Express (2 - 2 + 5*a**2)*(-3*a - 2 - 2 + 1) as g*a**3 + u*a + q*a**2 + h and give g.
-15
Express 4*a**3 + 4*a**2 - 12*a**2 - 4*a**2 + 4*a**4 - 8*a**3 + 2*a**3 - 2 in the form w*a + v*a**3 + u*a**4 + r*a**2 + q and give r.
-12
Express (-4 - 21 - 29)*(128*v - 28*v - 22*v) in the form p*v + k and give p.
-4212
Rearrange 49*c**3 + 958 + 3*c - 958 to the form r*c + i*c**2 + h*c**3 + p and give h.
49
Rearrange -4*z + z - z + (6*z - z - 4*z)*(1 + 2 - 2) + 0*z + 0*z + z + (5 + 5 - 5)*(-6*z + 3*z + z) + 3*z - 5*z + 4*z to p + a*z and give a.
-10
Rearrange (-369*y**2 - 3487*y + 3487*y)*(6*y - y - 3*y)*(11 + 3 - 5) to the form w*y + k*y**3 + b + a*y**2 and give k.
-6642
Express (-2*j**2 - j**2 + 5*j**2)*(43*j - 66 + 66) - 88*j**2 + 88*j**2 - 6*j**3 as u*j + c + p*j**3 + x*j**2 and give p.
80
Rearrange -299*c**2 + 299*c**2 - 48*c**3 + (-2*c**2 - 4*c**2 + 4*c**2)*(12*c + 477 - 477) to u*c**2 + a*c + t + k*c**3 and give k.
-72
Rearrange 199 - 611 + 182*z + 203 + 209 to the form s + j*z and give s.
0
Express (12 - 39 - 44)*(-6 + 2 + 2)*(-q + 3 - 3) as b*q + h and give b.
-142
Rearrange -192*x**4 + 194*x**4 + x**3 + 3 + 3*x + 2*x**2 - 4 to the form a*x**2 + j*x**3 + b + f*x + z*x**4 and give f.
3
Express -3 + 21 + 3 - 2*n**2 - 3*n**3 - 2*n**3 + 0*n**2 as b*n**2 + m + p*n**3 + j*n and give m.
21
Rearrange (16 + 32 + 13)*(2 - 3 - x + 2*x) to the form s + j*x and give s.
-61
Express 740*n + 1 + 10 - 11 - 46*n as c*n + m and give c.
694
Express 5 + 2*i + 24*i - 2 as u + n*i and give n.
26
Express 22*t**3 + 1 - 2*t**2 + 20*t**3 - 43*t**3 as c*t**2 + z*t**3 + r + l*t and give r.
1
Rearrange 4 - 4*a + 9*a - 6*a - a to y*a + b and give b.
4
Express 9*g - 97 + 33*g - 46*g in the form m + l*g and give l.
-4
Express -2*p - 4*p + 4*p + 260 - 260 - 21*p + (0 + 0 - 3*p)*(1 + 3 - 6) in the form u + n*p and give n.
-17
Rearrange (w + 0 + 0)*(-4 - 3 + 2)*(128*w - 131*w + 0*w**2 - 5*w**2) to u + m*w**3 + f*w**2 + r*w and give m.
25
Express (27*u + 0*u + 0*u)*(u**2 - 6*u**2 + 7*u**2 + 6*u**3) in the form y*u + w*u**2 + i + l*u**4 + m*u**3 and give m.
54
Express -156*a**3 + 311*a**3 - 53*a - 153*a**3 - 2 + 2*a**2 in the form y*a + g + q*a**3 + j*a**2 and give g.
-2
Rearrange -16 + 44 - 16 - 216*o - 12 to n*o + i and give n.
-216
Express -21*w**2 + 42*w**4 + 42*w**2 - 21*w**2 + (6*w + 5*w - 4*w)*(w**2 - w**2 - w**3) as j*w**2 + x*w**4 + k + m*w**3 + y*w and give x.
35
Rearrange 42 - 655*i - 42 + 547*i to u + m*i and give m.
-108
Express -166*g**3 + g + 0*g + 0*g - 46*g**3 as v + w*g + q*g**3 + z*g**2 and give w.
1
Express -10*u + 2*u - 10*u + 4 - 4 - u + (1 + 0 + 1)*(-2*u + 1 - 1) + u - 2*u + 0*u + 1 + 6*u - 2*u - 5*u as y*u + w and give w.
1
Rearrange -19*h + 71*h**3 - 17*h - 5*h**2 - 73*h**3 to n*h**2 + j + r*h**3 + w*h and give r.
-2
Rearrange 3*r - 6*r + 13*r - 54*r**2 + 2 - 10*r to the form m*r + u*r**2 + x and give x.
2
Rearrange 213*i**4 - 730*i**2 + 1 + 730*i**2 + (5*i - 3*i - 3*i)*(0*i**3 - i**3 + 3*i**3) to the form z*i**4 + r + t*i**2 + k*i**3 + q*i and give z.
211
Rearrange -29*x**3 + x - 40*x**3 - 3*x**2 + 6*x**3 + 3*x**2 to the form y*x**3 + f*x + p + v*x**2 and give f.
1
Rearrange (2 - 2 - 1)*(363*g + 620*g + 230*g + 559*g) to f*g + s and give f.
-1772
Rearrange g**2 - 2 + 2 + (0 + 0 + g)*(5*g + 94 - 41 + 72) to the form q*g**2 + a*g + k and give q.
6
Rearrange -107*t**3 + 54*t**3 + 116*t**2 + 57*t**3 + 2*t to u*t + w*t**3 + f + b*t**2 and give w.
4
Express t**4 - 139 + 2*t**3 + 35 - 3*t**4 - 11 + 0*t**4 in the form n*t + a*t**2 + c*t**3 + v + w*t**4 and give w.
-2
Rearrange 2 + 24*b**3 - 25*b**3 + 26*b - 38*b to y*b + u*b*
|
{
"pile_set_name": "DM Mathematics"
}
|
i be (-8)/(-6)*(-42)/(-308). What is the nearest to -0.1 in i, 2, q?
i
Let l = -12.946 + 13.246. What is the nearest to 3 in -1/5, l, 0.07?
l
Let u = -2729.9 + 2730. Which is the nearest to 0? (a) -0.7 (b) u (c) 10 (d) 2
b
Let t = -6226.5558 - -2.5558. Which is the closest to 2/3? (a) 0.4 (b) -3/2 (c) t (d) 1/3
a
Let l = -101.41 - -4.81. Let m = 29 - -68. Let s = m + l. Which is the closest to 0.1? (a) s (b) 1 (c) 1/3
c
Let p = -3925 - -11461/3. Let s = p + 105. Which is the nearest to s? (a) 1 (b) -1 (c) 2
a
Let m = 6954 - 6953.5. Let u = 1.1 - -2.3. Let v = -3 + u. Which is the nearest to 0? (a) v (b) -0.2 (c) m
b
Suppose 21*f - 36*f + 13 = -47. Which is the nearest to f? (a) 0.3 (b) -6 (c) -2/7 (d) 2/9
a
Suppose 0 = -2*l - 4*x, -3*l + 0*x = 3*x. Suppose q - t - 2 = l, 5*q - 4*t - 5 = 6. Which is the closest to -16? (a) 1/4 (b) 5 (c) q
a
Let u = 10928 - 10932. Which is the closest to -1? (a) -21/4 (b) u (c) 7
b
Let p = -99491 - -99490.75. Let k(v) = v + 3. Let z be k(-3). What is the nearest to 1 in -1/2, z, p?
z
Let u = 89.4 - 89. Let z = -0.084 - -0.034. What is the nearest to z in u, 4, 1.1?
u
Let s(m) be the first derivative of -m**4/4 - 11*m**3/3 - m - 1. Let p be (94/(-141))/((-2)/(-33)). Let w be s(p). What is the nearest to w in -1, 0, -0.3?
-1
Let n = -26.73 - -26.63. What is the nearest to n in 5, -342, -0.3?
-0.3
Let u = -48.954 + -0.046. Let p = 76 + u. Let g = -28 + p. What is the nearest to 1 in 0.2, g, -1/5?
0.2
Let x = 152/809 + -1318925/5663. Let y = x - -233. What is the closest to -3 in 1/9, -8, y?
1/9
Let o(j) = 2*j - 3. Let f be o(0). Let x be -7 + f + (4 - -17). What is the nearest to -1 in -0.5, -1, -3/4, x?
-1
Let y be (-4)/(-6) + 6/9. Let m = -2175463 + 2175465. Let p be (-1)/2*(-20)/6. What is the closest to -1 in p, y, m?
y
Let s = 0.25588 + -1.25588. Let z = -0.4 - -1. Which is the closest to -3? (a) z (b) s (c) -4
c
Let l = -0.040876 - 0.059124. Let t be (-16)/6*-3 - 0. Let m = -11 + t. What is the nearest to l in 3, -2.2, m?
-2.2
Let l = 3616 - 50649/14. Let m = l + 16/7. What is the closest to m in 3/5, 0.2, -14?
3/5
Let c = 3989/13 - 307. Let a be ((-192)/(-80))/((6/15)/(-1)). Let z(f) = -f**3 - 5*f**2 + 17*f + 60. Let u be z(a). What is the nearest to u in c, -4/5, -0.5?
-4/5
Let s = 25171.6 - 25174.1. Let c = 8 - 4. What is the nearest to 1/4 in -3, c, s?
s
Let g = -0.12 + 0.22. Let z be 763/(-21) + (-1)/(-3). Let t be ((-1)/(-3))/(9/z). Which is the nearest to g? (a) -5 (b) 7 (c) t
c
Let l = 13143/4 + -3286. What is the closest to 688 in 1/5, l, 0?
1/5
Let f = 693.88 - 694.38. Let v = 5 + -16. Let s = v + 6. Which is the closest to 0? (a) -7 (b) f (c) s
b
Let q = -0.03 + -1.97. Let i = q + 3. Let v = 1709644/38466315 - 2/2564421. Which is the nearest to v? (a) -0.1 (b) i (c) 4
a
Let y = -21812.6 + 21813. Let d = 3.92 + 0.08. Let g = 3 - d. What is the nearest to g in -0.4, -1/5, y?
-0.4
Let h = 333 - 336. Which is the nearest to -1? (a) 37 (b) h (c) 2/11
c
Let t be 11/22*(-9)/(117/(-4)). Let j = 19 - 18. Which is the nearest to j? (a) -3/5 (b) -0.1 (c) t
c
Let m = -9.8011 - 1.1989. Which is the closest to -1? (a) -0.5 (b) 0.5 (c) m (d) -1
d
Suppose 5*m - 196 = -2*m. Suppose -25 = -23*j + m*j. What is the nearest to 1/2 in j, 3, 1?
1
Let d = 3 + -7. Let q be (1*12)/(6 + -9 + 5). Suppose 7 - q = x, -5*f + 10 = 5*x. What is the nearest to f in -7, 0.4, d?
0.4
Let c = 0.037 - 0.066. Let g = -6.629 - c. Let j = g - -6.7. What is the closest to j in 0.2, 2/9, -21?
0.2
Let k = 179 - 182. Which is the closest to 0? (a) -2/9 (b) k (c) -0.1 (d) 2/5
c
Let i = -5 - -16/3. Let z = -12608 + 12613. Which is the nearest to i? (a) 0 (b) 0.4 (c) 3 (d) z
b
Let g = 193 + -192.7. Let d = -105 - -105.06. What is the closest to d in -4, g, 0.02, 0.2?
0.02
Let s = 21 - 20.9. Let m = 3 + -2.884. Let t = -0.116 + m. Which is the closest to t? (a) -0.9 (b) s (c) -5
b
Let y(s) = 8*s + 217. Let l be y(-27). Let i = 2.92 - -0.08. Which is the nearest to 3? (a) l (b) 0.4 (c) i
c
Let o = -221.2 - -220.71. Which is the closest to -1? (a) 4/3 (b) -3/4 (c) o (d) 3
b
Suppose o = 5 + 104. Let u = 326/3 - o. Which is the closest to u? (a) 3 (b) 3/2 (c) 2/3
c
Let k = 1697.04 + -1697. Which is the closest to -2/53? (a) 0.4 (b) -5 (c) k
c
Let i = -17.5 + 31.2. Let x = i - 17.7. What is the closest to -3/8 in 2, x, -0.4?
-0.4
Let w = 0.2883 - -0.0417. What is the nearest to w in 1/3, 0, -0.3?
1/3
Let g = 112 - 112. Let o = -0.008 - 0.222. Let u = o + -0.27. What is the closest to 1/2 in 4, u, g?
g
Suppose 3*k + o = -17, 2*o + 18 - 8 = 0. Let w be 5 - (k - -3)*-5. Which is the closest to 2? (a) -1 (b) w (c) -0.04
b
Let z = 914 - 903. What is the closest to -0.3 in 1.6, 0.4, z?
0.4
Let o = 30 + -30.5. Let p be ((-370)/30 + 12 - 2/3)*-3. What is the nearest to 0.1 in p, -1, o, 4?
o
Let w be 8/24*0/2. What is the closest to 1 in 3/20, 0.1, w?
3/20
Let l = -11646 - -11495. What is the closest to l in 4, 20, 1/2, 0?
0
Let z be (5/5)/(((-86)/387)/(88/6)). What is the closest to 0.07 in 0.3, 0.5, z?
0.3
Let y be (-1)/15*(-9748)/(1 + -5). Let c = y - -488/3. What is the nearest to c in -3, 0.1, -40?
0.1
Let f = -2.553 - -2.153. What is the nearest to -0.2 in 1, f, -9/11, -0.1?
-0.1
Let q = 81.49 - 82. Let c = q - -0.86. Let l = 1.35 - c. What is the nearest to 5/4 in l, -2, -2/9?
l
Let y = 428 - 344. Let s = 40 - -43.8. Let r = y - s. Which is the nearest to 2/7? (a) 1 (b) -1 (c) r
c
Suppose -2*g + 24 = -10. Suppose -19*d + g*d + 4 = 0. Let h be ((-20)/(-25) - 1)/(d/4). What is the nearest to 1/4 in -5/8, h, -4?
h
Let w be 3/(-27) + (1 - (-164)/(-144)). What is the closest to -1/2 in 0.5, w, -4/5?
w
Let g = 0.41 - 2.41. Let n = -153.9 - -154. Let r = -7 + 7.3. What is the closest to n in g, 6/7, r?
r
Let o = -28167 - -28164. What is the closest to -3/4 in -1, o, 3/5, -744?
-1
Let m = -1.6553 + 1.7553. Which is the closest to m? (a) 0.3 (b) 10 (c) 1/5 (d) 5
c
Let x = -0.551 - 231.449. Let w = -233 - x. Let u = 0.5 - 0.3. Which is the closest to u? (a) -4 (b) w (c) -5
b
Let p be (-1)/(-2)*(4185/(-1782) - (-2)/12). Which is the nearest to 0.1? (a) 1 (b) p (c) -1/4 (d) 2/5
d
Let x = -7/4 - -5/4. Let u = -198960.3 - -198960. What is the nearest to 1 in 5, u, 3/4, x?
3/4
Suppose 77*i - 79*i = 6. Let o = -3 - -2.9. Suppose 2*q - 13 = -5. Which is the nearest to -4? (a) q (b) i (c) o
b
Let o = -65 - -70. Let b be (4 + (-132)/32)/(1*-2). What is the nearest to 0 in 0, b, o?
0
Suppose -k + 7 = 4. Suppose h - t = 2, 2*t - k*t = h. Let y = 109/3 + -37. Which is the closest to h? (a) y (b) -4 (c) -0.2
c
Suppose 2*b = -3*x, 5*b = 21*x - 18*x. What is the closest to b in 2, -2/39, -0.4, -0.09?
-2/39
Let r be -1*3*(4/(-1) + 5). Let p = -60.61 - -61. Let w = p + -0.29. Which is the closest to w? (a) r (b) -4 (c) 0.3
c
Let i = -0.166 + -0.134. Suppose 9*n = 8*n. Let f = -2 + n. Which is the closest to i? (a) -1 (b) 4 (c) f
a
Suppose 4*l + w - 5 = 2*l, -2*l + 3*w - 15 = 0. Let n be (1*(3 + -6))/(450/90). Let j = -151/15 + 57/5. What is the closest to n in 3/8, j, l?
l
Let i = -12.409 - -11.909. Let h be (0 + 1)/((-45)/18). Which is the closest to 2? (a) 2 (b) i (c) h (d) 4
a
Let y(o) = o - 1. Let p be y(2). Suppose -k = 53 - 9. Let z be k/126 + 74/(-333). Which is the closest to 1/7? (a) p (b) z (c) -2
b
Let v = 1341 + -660. Let n = -683 + v. What is the closest to 0 in 8, 0, 4, n?
0
Let i(o) = -2*o**3 + 15*o**2 + 16*o - 31. Let h be i(8). Suppose 0 = -15*l + h*l - 90. What is the nearest to 15 in 4/5, l, -0.5?
l
Suppose 0 = -g + 3*g - 6. Let k be (-2)/g + (-164)/(-84). Let z = -13.03 + 13.43. Which is the closest to -0.1? (a) k (b) 2/11 (c) z
b
Let g be (2 + (-10)/3)/((21112/252)/29). Which is the nearest to g? (a) 0.06 (b) 2 (c) -3/14
c
Suppose 2*z = 0, 47 + 46 = 3*l - 4*z. Let f = 26 - l. Let h = 97.6 - 98.3. Which is the closest to -1? (a) f (b) h (c) -5/4
c
Let b = 7193 - 21580/3. What is the nearest to b in -4, 0.4, 32/11?
0.4
Let z = 27.539 + -18.539. Which is the nearest to -2? (a) -0.4 (b) -26 (c) z
a
Let j = 99/2 - 48. Let q = 1407 + -1404.4. Let o = 0.04 - 0.04. Which is the nearest to o? (a) -0.2 (b) q (c) j
a
Let z = 0.09376 + 18.90624
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate the lowest common multiple of 155 and 341.
1705
Calculate the least common multiple of 12 and 198.
396
Calculate the common denominator of -17/72 and -115/18.
72
What is the lowest common multiple of 65 and 22490?
22490
Calculate the smallest common multiple of 934 and 9.
8406
Calculate the common denominator of 43/96 and -85/32.
96
Find the common denominator of 123/10 and -22/37.
370
Calculate the smallest common multiple of 1863 and 81.
1863
Calculate the least common multiple of 24 and 27.
216
What is the common denominator of 25/244 and -87/4?
244
Find the common denominator of 64/75 and 14/225.
225
Calculate the lowest common multiple of 34 and 184.
3128
What is the lowest common multiple of 144 and 48?
144
Calculate the least common multiple of 944 and 24.
2832
What is the smallest common multiple of 70 and 77?
770
Calculate the lowest common multiple of 110 and 10.
110
What is the smallest common multiple of 238 and 204?
1428
What is the common denominator of 2/459 and 131/204?
1836
What is the smallest common multiple of 42 and 74?
1554
Find the common denominator of 87/4 and -13/108.
108
What is the least common multiple of 4750 and 70?
33250
Find the common denominator of 139/432 and -139/3240.
6480
What is the common denominator of 29/1281 and 83/1281?
1281
Find the common denominator of -41/266 and -57/7.
266
Calculate the common denominator of 11/3330 and -103/165.
36630
What is the common denominator of -89/2 and -5/597?
1194
Find the common denominator of -97/7440 and -55/744.
7440
Calculate the least common multiple of 1584 and 1760.
15840
What is the lowest common multiple of 733 and 4?
2932
What is the smallest common multiple of 20 and 1820?
1820
Calculate the common denominator of 13/133 and -13/1015.
19285
Calculate the lowest common multiple of 1251 and 24.
10008
Calculate the common denominator of 28/243 and -77/18.
486
Calculate the least common multiple of 15 and 2289.
11445
Calculate the lowest common multiple of 260 and 140.
1820
Calculate the smallest common multiple of 10 and 8.
40
Calculate the common denominator of 57/2 and -71/2620.
2620
What is the common denominator of 157/168 and 5/924?
1848
What is the least common multiple of 12 and 1158?
2316
Calculate the common denominator of -7/1261 and -103/6.
7566
Calculate the least common multiple of 112 and 116.
3248
Calculate the lowest common multiple of 10 and 5.
10
Calculate the lowest common multiple of 4 and 319.
1276
Calculate the least common multiple of 50 and 10.
50
What is the least common multiple of 10 and 179?
1790
Calculate the least common multiple of 20 and 440.
440
Find the common denominator of 89/3538 and 49/16.
28304
What is the lowest common multiple of 36 and 18?
36
What is the common denominator of -70/171 and 151/36?
684
Calculate the common denominator of 67/2 and 51/1748.
1748
Calculate the common denominator of 15/16 and 35/864.
864
What is the common denominator of 151/186 and -59/276?
8556
Calculate the common denominator of 9/64 and 53/128.
128
Calculate the least common multiple of 12 and 9.
36
Find the common denominator of -49/253 and 27/253.
253
What is the smallest common multiple of 8 and 1912?
1912
Calculate the lowest common multiple of 641 and 12.
7692
Calculate the smallest common multiple of 144 and 36.
144
Calculate the common denominator of 89/105 and -61/630.
630
What is the common denominator of -119/24 and 3/398?
4776
Calculate the least common multiple of 12 and 590.
3540
What is the least common multiple of 6 and 291?
582
What is the least common multiple of 336 and 264?
3696
What is the smallest common multiple of 102 and 45?
1530
Calculate the common denominator of -33/1945 and -39/3890.
3890
What is the common denominator of -9/16 and 57/298?
2384
What is the least common multiple of 12 and 86?
516
Calculate the common denominator of 149/84 and 65/316.
6636
What is the common denominator of 19/3 and 117/56?
168
Calculate the common denominator of -17/6 and -69/13994.
41982
Calculate the lowest common multiple of 102 and 8.
408
Calculate the smallest common multiple of 2073 and 691.
2073
What is the least common multiple of 4270 and 3660?
25620
What is the smallest common multiple of 6219 and 6?
12438
Calculate the common denominator of 179/480 and -127/30.
480
Find the common denominator of -73/4636 and -107/40.
46360
What is the smallest common multiple of 10 and 694?
3470
What is the lowest common multiple of 486 and 162?
486
What is the lowest common multiple of 1595 and 220?
6380
What is the smallest common multiple of 100 and 30?
300
Calculate the common denominator of 58/1197 and 11/210.
11970
What is the smallest common multiple of 10 and 2?
10
What is the common denominator of 1/2028 and -12?
2028
What is the lowest common multiple of 360 and 135?
1080
Calculate the common denominator of -17/378 and -41/30.
1890
Calculate the common denominator of -91/48 and -15/128.
384
Calculate the smallest common multiple of 7 and 259.
259
Calculate the common denominator of 73/513 and 71/171.
513
Calculate the common denominator of -40/287 and -19/126.
5166
Calculate the least common multiple of 22 and 24.
264
Find the common denominator of 76/27 and 31/51.
459
Find the common denominator of 11/246 and -24/11.
2706
Find the common denominator of -123/20 and 67/260.
260
Find the common denominator of -89/10 and 31/90.
90
Calculate the common denominator of 61/525 and -167/4410.
22050
Calculate the common denominator of 19/1560 and 49/156.
1560
Find the common denominator of -31/20 and -187/270.
540
Calculate the smallest common multiple of 129 and 33.
1419
Find the common denominator of 37/11055 and -25/48.
176880
What is the common denominator of 17/4 and -19/20190?
40380
What is the common denominator of -28/25 and -67/245?
1225
Find the common denominator of -91/18 and -99/622.
5598
Find the common denominator of 139/36 and -161/396.
396
Calculate the smallest common multiple of 2894 and 22.
31834
Calculate the common denominator of -29/2 and 29/1248.
1248
What is the common denominator of -37/4 and 16/441?
1764
What is the lowest common multiple of 102 and 9?
306
Calculate the common denominator of -71/612 and 77/34.
612
Calculate the smallest common multiple of 256 and 256.
256
Calculate the lowest common multiple of 28 and 2604.
2604
Calculate the common denominator of 11/387 and 97/1548.
1548
What is the common denominator of 131/12 and -63/530?
3180
What is the least common multiple of 6619 and 7?
46333
Calculate the common denominator of -4/165 and 62/2145.
2145
Calculate the lowest common multiple of 6 and 399.
798
Calculate the common denominator of -31/772 and -21/4.
772
What is the common denominator of -133/1896 and -37/4?
1896
Calculate the smallest common multiple of 364 and 117.
3276
What is the common denominator of 133/18 and 45/32?
288
What is the least common multiple of 58 and 145?
290
What is the least common multiple of 117 and 26?
234
What is the common denominator of 149/990 and -157/7650?
84150
What is the common denominator of -5 and -31/10?
10
Calculate the smallest common multiple of 12 and 36.
36
What is the least common multiple of 4 and 94?
188
What is the lowest common multiple of 30 and 30?
30
Calculate the smallest common multiple of 112 and 4.
112
Calculate the least common multiple of 39 and 130.
390
Calculate the common denominator of -32/27 and -31/2421.
7263
What is the common denominator of -27/586 and 46/879?
1758
What is the lowest common multiple of 248 and 93?
744
Find the common denominator of 31/10 and -47/185.
370
What is the common denominator of -19/70 and 4/9?
630
Calculate the lowest common multiple of 168 and 488.
10248
What is the lowest common multiple of 18 and 328?
2952
What is the lowest common multiple of 1332 and 42?
9324
Find the common denominator of 75/26 and 91/4.
52
Calculate the smallest common multiple of 30 and 150.
150
What is the common denominator of -101/1584 and 13/880?
7920
What is the smallest common multiple of 691 and 13?
8983
Calculate the least common multiple of 145 and 29.
145
Calculate the smallest common multiple of 144 and 8.
144
What is the lowest common multiple of 18 and 1116?
1116
Find the common denominator of 107/1
|
{
"pile_set_name": "DM Mathematics"
}
|
**4/6 + x. What is r(h(l))?
8*l**2
Let o(f) = -6*f. Let y(m) = 9*m + 6 + 11 - 6*m - 17. Give y(o(k)).
-18*k
Let l(w) be the first derivative of 3*w**2/2 - 21. Let r(s) = 1 - 6 - 4*s**2 + 5. Determine l(r(k)).
-12*k**2
Let k(v) = -431*v**2 + 438*v**2 + 0 + 0. Let s(u) = -9*u**2. Let p(j) = 14*j**2. Let t(i) = 5*p(i) + 8*s(i). Give t(k(l)).
-98*l**4
Let o(p) = -2*p**2. Let c(j) = 74914*j. Give c(o(k)).
-149828*k**2
Let a(l) = -350*l - 55. Suppose 3*q + 61 = 2*q - 3*n, -224 = 4*q + 2*n. Let t(v) = 13*v + 2. Let d(i) = q*t(i) - 2*a(i). Let b(m) = m + 3*m - 6*m. Give b(d(g)).
30*g
Let b(s) = 3*s**2 - s + 1. Let v(a) = 0*a - a**2 - a + 0*a + 0 + 1. Let o(w) = -b(w) + v(w). Let n(x) = -6 + 6 + 3*x**2 + 0. Calculate o(n(c)).
-36*c**4
Suppose -2 = 5*c + 4*p - 14, c = -3*p - 2. Suppose c = -y + 6. Let q(s) = -113*s**2 + 49*s**y + 55*s**2. Let r(z) = -2*z. Give q(r(h)).
-36*h**2
Let q(c) = 7*c. Let v(n) = 27*n - 24. Let k(l) = 242*l - 220. Let f(z) = -6*k(z) + 55*v(z). What is f(q(r))?
231*r
Let u(w) = -2*w. Let b = -17 + 16. Let d(q) = q**2 - 1. Let r(h) = -19*h**2 + 6. Let c(s) = b*r(s) - 6*d(s). Calculate u(c(a)).
-26*a**2
Let v(j) = 2*j. Let l(i) be the second derivative of 137*i**3/6 - 40*i + 1. Calculate l(v(n)).
274*n
Let d(v) = 3*v - 48. Let m(h) = -168*h - 1. Calculate d(m(u)).
-504*u - 51
Let m(n) be the third derivative of -n**4/12 + 74*n**2. Let i(s) = -24*s**2. Give i(m(a)).
-96*a**2
Let s(y) = -8964*y**2. Let b(c) = -c**2. Determine s(b(m)).
-8964*m**4
Let g(s) = -11182*s. Let z(b) = 7*b**2. What is g(z(v))?
-78274*v**2
Let z(v) = -2*v. Let q(o) = 6003283*o**2. Determine z(q(a)).
-12006566*a**2
Let n(y) be the first derivative of y**2 - 1. Suppose -2*l - 2 = -2*i, 4*i - 2*l - 1 - 11 = 0. Let r(t) = 6*t + t - i*t. Calculate n(r(o)).
4*o
Suppose 4*w + 24 = 124. Let u(m) = 9*m**2 - w*m**2 + 15*m**2. Let o(l) = 8*l. Give o(u(j)).
-8*j**2
Let x(r) = 27*r + 22*r + 18*r - 70*r. Let t(i) = 19*i. Determine t(x(s)).
-57*s
Let v(s) = -4*s. Let d(b) = -2*b - 3. Let u(x) = -x - 3. Let m(z) = 4*d(z) - 5*u(z). Determine m(v(w)).
12*w + 3
Let r(g) be the second derivative of g**3/3 - g + 2. Let p(m) = -6*m + 5. Let w(h) = h - 1. Let u(z) = -2*p(z) - 10*w(z). Calculate r(u(d)).
4*d
Let g(j) = -2694*j**2. Let n(f) = -5*f - 8. What is n(g(v))?
13470*v**2 - 8
Let t(i) = -4*i**2 + i. Let q(u) = 5*u**2 - 18*u + 6. Let m(n) = -14*n**2 + 51*n - 17. Let v(k) = -6*m(k) - 17*q(k). What is v(t(a))?
-16*a**4 + 8*a**3 - a**2
Let r(s) = -369*s**2 - 372*s**2 + 737*s**2. Let o(x) = 34*x**2 + 1. What is o(r(l))?
544*l**4 + 1
Let j(i) = -2*i. Let c(w) be the third derivative of 0*w**3 + 7/60*w**5 + 0 + 0*w + 0*w**4 - 5*w**2. Determine j(c(p)).
-14*p**2
Let w(m) = 2*m + 2*m - 4*m + m. Let d(r) = -17*r**2 - 11*r + 11. Let p(y) = 4*y**2 + 3*y - 3. Let n(c) = 6*d(c) + 22*p(c). Calculate w(n(j)).
-14*j**2
Let z(s) = 15*s**2 - 9*s. Let f = -21 + 30. Let j(c) = -4*c**2 + 2*c. Let u(k) = f*j(k) + 2*z(k). Let b(h) = 4*h - 2*h + 4*h - 4*h. Give u(b(w)).
-24*w**2
Let l(q) = -q. Let w(n) = -54*n - 25. Let i(j) = -81*j - 35. Let s(f) = 5*i(f) - 7*w(f). Determine s(l(o)).
27*o
Let a(i) = i + 16. Let q(z) = 26*z - 12. Give q(a(f)).
26*f + 404
Let g(h) = 90. Let r(w) = -w**2 - 2. Let b(s) = g(s) + 45*r(s). Let a(l) = -13*l**2. Calculate b(a(z)).
-7605*z**4
Let l(b) = 4*b. Let j(y) be the third derivative of -4*y**4/3 - 721*y**2. Calculate j(l(h)).
-128*h
Let m(l) = -31*l + 19. Let z(u) = -29*u. Determine m(z(a)).
899*a + 19
Let a(o) = 13*o**2. Let x(s) be the third derivative of 0*s + 0 - s**2 + 0*s**3 + 1/6*s**4. Calculate a(x(h)).
208*h**2
Let l(v) be the third derivative of -2*v**2 + 1/30*v**5 + 0*v + 0 + 0*v**4 + 0*v**3. Let j(u) = 8*u + 0*u**2 - 2*u**2 - 8*u. Determine j(l(g)).
-8*g**4
Let b(p) = -3813 - 63*p + 1906 + 1904. Let w(r) = -3*r. Determine b(w(v)).
189*v - 3
Let b(a) = 12*a**2 - 15*a**2 + 0*a**2. Let k(t) = t. Determine k(b(r)).
-3*r**2
Let t(b) = -9*b**2. Let k(r) = 2*r**2 - 12*r + 22. Let i be k(4). Let z(v) = 14*v. Let o(m) = -m. Let d(u) = i*o(u) + z(u). Calculate d(t(f)).
-72*f**2
Let f(b) = -b**2 + 22. Let q(x) = -x + 9. Let m(a) = 6. Let t(c) = -3*m(c) + 2*q(c). Calculate t(f(o)).
2*o**2 - 44
Let g(o) = 46*o**2. Let i(r) be the third derivative of 5*r**4/24 - 11*r**2 - r. Determine g(i(c)).
1150*c**2
Let t be (-2 + 4)*(-2)/(-2). Let i(v) = -2 + t*v - 2 + 4. Let r(j) be the second derivative of 5*j**4/12 - j. Calculate i(r(d)).
10*d**2
Let q(o) = -2. Let z(i) = i - 6. Let s(u) = -6*q(u) + 2*z(u). Let d(b) be the second derivative of -3*b**3/2 - 4*b. Give s(d(f)).
-18*f
Let h(v) = -6*v. Let b(d) = 400*d. What is h(b(s))?
-2400*s
Let l(r) = 43*r. Let o(z) = -3*z**2 - 42*z + 9. Calculate l(o(u)).
-129*u**2 - 1806*u + 387
Let d(b) = 2*b**2. Let n(c) = -6225117*c. Calculate d(n(x)).
77504163327378*x**2
Let l(t) = 671*t**2 - 2*t. Let x(k) = -4*k. Give x(l(g)).
-2684*g**2 + 8*g
Let k(z) = 28*z**2 - 71*z**2 + 30*z**2 + 28*z**2. Let d(g) = -6*g. What is k(d(p))?
540*p**2
Let v(z) = 39*z**2 - 18. Let j(a) = a - a - 5 + 11*a**2. Let x = 292 + -310. Let b(n) = x*j(n) + 5*v(n). Let u(k) = -2*k**2. What is u(b(d))?
-18*d**4
Suppose 0 = 8*v - 4*v. Let j(l) = -4*l**2 + v*l**2 + 0*l**2 + 5*l**2. Let p(u) be the second derivative of -u**4/2 + 14*u. Determine p(j(f)).
-6*f**4
Let d(o) = 4*o + 2. Let y(s) = 63145*s**2. Calculate d(y(c)).
252580*c**2 + 2
Let q(h) = -39*h. Let p(s) be the third derivative of -s**5/60 - 19*s**3/6 - 17*s**2. Let x(z) be the first derivative of p(z). What is q(x(o))?
78*o
Let t(i) = 7077*i**2. Let d(p) = -6*p. Give t(d(g)).
254772*g**2
Let d(c) be the third derivative of -3*c**5/20 - 419*c**2. Let j(x) = -7*x**2. Determine d(j(p)).
-441*p**4
Let q(t) be the third derivative of -1/4*t**5 + 0*t**3 + 0*t**4 + 0 - 22*t**2 + 0*t. Let n(v) = v**2. Determine n(q(c)).
225*c**4
Let d(k) = 0 - 2*k**2 + 0. Let s(m) be the second derivative of m**3/6 + 1147*m. What is s(d(o))?
-2*o**2
Let x(y) be the first derivative of 0*y**2 + 0*y + 2 - 1/3*y**3. Let n(h) be the second derivative of -h**3/2 - 2*h. Give n(x(d)).
3*d**2
Let s(q) = 1838*q. Let a(t) = 129*t**2. Determine s(a(b)).
237102*b**2
Let d(t) = 10*t**2. Let i be (-3 - (-15)/9)*(-1 - 2). Let b(y) = 45*y + i*y**2 - 45*y. Calculate b(d(s)).
400*s**4
Let b(h) = -8*h + 3*h - h + 2*h. Let j(z) = 4*z. Let a(p) = p. Let w(y) = -3*a(y) + j(y). Determine b(w(r)).
-4*r
Suppose -2*r + 0*r = -4. Let o(h) = 8*h**r + 6*h**2 - 12*h**2. Let n(p) = -2*p**2 + 2*p**2 + 4*p**2. Calculate o(n(u)).
32*u**4
Let f(j) be the first derivative of -5*j**4/24 - 3*j**2 - 53. Let u(h) be the second derivative of f(h). Let y(m) = -10*m**2. Determine y(u(l)).
-250*l**2
Suppose -16 = -5*s - 3*u, 0 = 4*s + u - 0*u - 10. Let d(x) = -4*x**2 - 13 + 3*x**s + 13. Let t(n) = -25*n**2. Determine d(t(g)).
-625*g**4
Let s(i) = i**2. Let q(p) = -3*p**2 + 1. Let l(m) = 70*m**2 + 2. Let a(h) = -3*l(h) + 6*q(h). Calculate a(s(t)).
-228*t**4
Let t(o) = -3*o**2. Let d(z) = 22*z - 2. Let i(s) = 13*s - 1. Let p(u) = -6*d(u) + 11*i(u). Give p(t(l)).
-33*l**2 + 1
Let s(i) = -3*i**2 + 8*i. Let x(w) be the first derivative of -5*w**2 - 665. Give s(x(y)).
-300*y**2 - 80*y
Let m(v) = 106*v. Let o(k) = 5*k**2 + 12*k - 6. Let n(g) = -g**2 - 4*g + 2. Let d(c) = 3*n(c) + o(c). Give m(d(r)).
212*r**2
Let c(l) = 4*l**2 - 2*l - 2. Let w(h) = -h**2 + h + 1. Let y(t) = c(t) + 2*w(t). Let q(x) = 239*x. What is y(q(f))?
114242*f**2
Let j(l) = 45. Let a(c) = c - 15. Let x(m) = -3*a(m) - j(m). Let u(h) = -3 + 6*h**2 + 3. Give u(x(o)).
54*o**2
Let j(q) = 21*q**2. Let t(k) = -8656*k**2. What is t(j(l))?
-3817296*l**4
Suppose 6*f = 20 + 28. Let g(k) = -k + k - f*k**2 + 7*k**2. Let y(q) = 7*q + 6. Let p(n) = -6*n - 5. Let h(v) = -6*p(v) - 5*y(v). Calculate h(g(m)).
-m**2
Let a(b) be the first derivative of -b**2 - 256. Let r(t) = 7*t - 5. Let h(k) = -k. Let y(v) = -3*h(v) - r(v). Calculate a(y(m)).
8*m - 10
Let p(i) = -5*i**2 - 8*i. Let x(y) = -y**2 - 5*y. Let r(j) = 3*p(j) - 7*x(j). Let l(m) = 2*m. Calculate l(r(n)).
-16*n**2 + 22*n
Let f(x) = 7 + 3 + 80248*x - 80250*x. Let m(s) = -3*s**2. Determine m(f(a)).
-12*a**2 + 120*a - 300
Let c(r) = 252*r**2. Let b(x) = 341*x**2. Calculate b(c(q)).
21654864*q**4
Let i(t) = -3*t**2 + 11*t. Let p(g) = -18*g**2 + 58*g**2 - 42*g**2. Determine i(p
|
{
"pile_set_name": "DM Mathematics"
}
|
ative of -2*x**5 - 17*x**4/4 + 685*x**2/2 - 708. What is the second derivative of a(j) wrt j?
-120*j**2 - 102*j
Suppose -g = 0, 3*l - 3*g - 39 = 51. Find the third derivative of l*d**2 - 188*d**4 + 200*d**4 - 12*d**2 wrt d.
288*d
What is the derivative of -13*f + 2*f**2 + 20 - 66 + 29 - 3*f**2 wrt f?
-2*f - 13
Suppose 0 = -0*m + 7*m + 7*m. Let b(i) be the second derivative of 1/5*i**5 + m*i**2 + 0 + 0*i**3 - i - 1/3*i**4. Find the third derivative of b(j) wrt j.
24
Let b(s) = 141*s - 281. Let j(x) = -140*x + 285. Let d(n) = -5*b(n) - 4*j(n). Find the first derivative of d(h) wrt h.
-145
Let z(p) be the first derivative of 2*p**6/15 - 9*p**2/2 - 7*p + 6. Let v(t) be the first derivative of z(t). What is the derivative of v(d) wrt d?
16*d**3
Let h(y) = -3*y + 6*y - 4*y + 1. Let a(d) = 3*d - 4. Let q(u) = a(u) - 3*h(u). Differentiate q(z) wrt z.
6
Let z be (-13)/(((-85)/34)/((-2)/(-4))). Let x(f) be the first derivative of 0*f**2 + 2*f - z*f**5 - 6 + 0*f**3 + 0*f**4. What is the derivative of x(m) wrt m?
-52*m**3
Let w(f) be the second derivative of 491*f**3/6 - 42*f**2 - 34*f - 1. Differentiate w(o) with respect to o.
491
Differentiate 2*a**4 + 82391*a - 313 + 4*a**2 - 82391*a with respect to a.
8*a**3 + 8*a
Suppose -4*o - 2*g + 27 = g, -g = -5*o + 10. Suppose -4*x + 34 = -o*t, -3*x + 19 = t - 0*t. Differentiate 6 + 1 + x - 8*p**3 - 2 with respect to p.
-24*p**2
Let o(t) = -99*t**4 - 2*t**3 + 3*t**2 - 4. Let s(p) = 296*p**4 + 5*p**3 - 7*p**2 + 11. Let b(n) = 11*o(n) + 4*s(n). Find the third derivative of b(d) wrt d.
2280*d - 12
Let l(s) = -s + 1. Let y(n) = 6 + 33*n**2 + n - n - 27*n**2 + 2*n. Let a(x) = -6*l(x) + y(x). Find the second derivative of a(d) wrt d.
12
Let o(l) be the second derivative of -19*l**5/4 - 19*l**2/2 + l - 10. Differentiate o(c) with respect to c.
-285*c**2
Let d(f) be the first derivative of 0*f**6 - 5/7*f**7 + 0*f**2 + 0*f**4 + 0*f**5 - 7 - 10/3*f**3 + 0*f. Find the third derivative of d(y) wrt y.
-600*y**3
Let c(k) be the first derivative of -6*k**5/5 + k**3 - 4*k**2 - 61. Find the second derivative of c(f) wrt f.
-72*f**2 + 6
Suppose -3*f = -f + 42. Let t(d) = 7*d**3 - 21*d**2 + 14. Let w(m) = -m**3 + m**2. Let p(z) = f*w(z) - t(z). What is the first derivative of p(o) wrt o?
42*o**2
Suppose -2*b + 25 + 3 = 0. Let h be ((-48)/28)/((-4)/b). Find the second derivative of -4*q - q - 15*q**3 + 5*q**3 + h*q**3 wrt q.
-24*q
Suppose -4*q = 2*z + 29 - 15, 4*q + 29 = 3*z. Let k be (3 - 2)/(2/12). Find the first derivative of -k*g**3 + z*g**3 - 8*g**3 + 20 - 15 wrt g.
-33*g**2
Suppose h = -s, 10*h - 4*s = 5*h + 9. Let r(y) = y + 10. Let u be r(-5). Find the first derivative of -h - 8*l**4 - u + 0 wrt l.
-32*l**3
Suppose 4*i + i = 2*m - 14, 2*i + 4 = 0. Find the second derivative of -93*y**2 - 2*y + 4*y + 96*y**m wrt y.
6
Let n(r) = -r**2. Let k(m) be the second derivative of -29*m**4/12 + m**3/2 + 24*m. Let y(h) = -k(h) + 5*n(h). What is the second derivative of y(f) wrt f?
48
Let g(z) = -4*z + 5. Let d be g(-6). Find the third derivative of d*n**2 + 78*n**3 + 14*n**4 - 78*n**3 wrt n.
336*n
Let o be (5/3 - 3)*49/(-196). Let a(t) be the second derivative of -4*t - o*t**3 + 7/12*t**4 + 0 + 0*t**2. Find the second derivative of a(v) wrt v.
14
What is the second derivative of -356*n**2 + 716*n**2 + 2*n**3 - 360*n**2 + 320*n + 8*n**4 wrt n?
96*n**2 + 12*n
Let q(r) be the third derivative of r**8/112 + 22*r**7/105 - 8*r**4/3 - 4*r**2 - 24. Find the second derivative of q(b) wrt b.
60*b**3 + 528*b**2
Let q(o) be the second derivative of -19*o**5/20 + o**4/12 - 68*o**3/3 + o**2/2 - o - 162. Find the second derivative of q(w) wrt w.
-114*w + 2
Find the third derivative of -840*f**5 + f**4 - f**4 - 46*f**2 + 14*f**2 + 857*f**5 wrt f.
1020*f**2
What is the first derivative of 47 + y**4 - 184*y + 408687*y**3 - 309 - 408687*y**3 wrt y?
4*y**3 - 184
Let a(z) = -z**2 + 10*z + 28. Let w be a(9). Find the third derivative of -2 - 2338*b**2 - w*b**5 + 1 + 2319*b**2 wrt b.
-2220*b**2
Let z = -413 + 933. Find the second derivative of 520 + 12*v - z - 5*v**5 wrt v.
-100*v**3
What is the second derivative of -3*v**3 + 284*v + 21*v + 437*v**4 + 0*v - 470*v**4 wrt v?
-396*v**2 - 18*v
Let k(x) be the second derivative of 0*x**3 + 6*x - 1/12*x**4 + 0 + 7/2*x**2. Let h(c) = -c**2 - 1. Let q(w) = -6*h(w) - k(w). Differentiate q(f) wrt f.
14*f
Let a(i) = i**3 - 8*i**2 + 3. Let p be a(8). Find the third derivative of 0*q**3 + 24*q**2 - 7*q**3 + 31*q**p wrt q.
144
What is the third derivative of -652*n**2 + 331*n**2 + 323*n**2 + n**6 - 182 - 72*n**4 wrt n?
120*n**3 - 1728*n
Suppose -v - 4*p = -4*v + 21, 0 = -v - 2*p - 3. What is the second derivative of -1 - 2*b + 1 - 31*b**v - 8*b wrt b?
-186*b
Let f = -5 + 8. Suppose 0 = -t - f + 7. What is the third derivative of 0*l**4 - 4*l**2 - 2*l**t + 5*l**4 wrt l?
72*l
Let p(n) = n**2 - 5*n + 2. Let t be p(5). Suppose 17 = t*j + z, -4*z = -4*j - 5*z + 35. Differentiate 4 + 2 - 14 - j*k**2 wrt k.
-18*k
What is the derivative of -2*s - 14 + 105*s**2 + 29 + s + 2*s + 30 wrt s?
210*s + 1
What is the third derivative of 65*i**2 - 885*i**6 + 37*i**2 + 728*i**6 + 3*i**5 wrt i?
-18840*i**3 + 180*i**2
Differentiate -21 + 85 - 338 + 1275*n - 478*n wrt n.
797
Let i(s) be the third derivative of s**7/210 - 7*s**5/20 + 7*s**3/3 - 87*s**2. Differentiate i(b) with respect to b.
4*b**3 - 42*b
Let u(k) = k**2 + k + 1. Let b(q) = 1 + 288*q**2 + 43*q - 290*q**2 + 46*q**4 - 3. Let i(t) = b(t) + 2*u(t). Find the second derivative of i(p) wrt p.
552*p**2
Let w(s) = -98*s**2 - 39*s**4 + 98*s**2 + 48*s. Let o(v) = 19*v**4 - 24*v. Let x(i) = -11*o(i) - 6*w(i). Find the second derivative of x(a) wrt a.
300*a**2
Find the second derivative of -1004*l + 354*l**4 - 233*l - 25*l**4 + 278*l wrt l.
3948*l**2
Let i(n) be the first derivative of -17/2*n**2 - 7*n - 14. Find the first derivative of i(d) wrt d.
-17
Let s be 39/65*(2 + (-369)/(-3)). Find the first derivative of -m**4 - 45 + 18*m**2 + s + 2*m**2 + 0*m**4 wrt m.
-4*m**3 + 40*m
Let t(a) be the third derivative of a**6/120 - a**5/20 + a**4/12 + a**3/3 + 3*a**2. Let u be t(2). Differentiate -5*s**u - 5 + s - 3*s + 2*s wrt s.
-10*s
Let t(c) = 40*c**2 + 6*c + 70. Let q(z) = -40*z**2 - 5*z - 69. Let k(n) = -5*q(n) - 4*t(n). What is the first derivative of k(y) wrt y?
80*y + 1
Suppose o + 3 = 2*o. What is the derivative of 119*m - 5 + 7*m**o - 119*m wrt m?
21*m**2
Suppose 7*y + 5 = 8*y. Let g(p) be the second derivative of -1/2*p**2 + 0*p**4 + 0*p**3 - 4*p - 3/20*p**y + 0. What is the derivative of g(b) wrt b?
-9*b**2
Let h = -111 - -129. Find the first derivative of -4*d**2 - 5*d**3 + 4*d**2 + 7*d**3 - h wrt d.
6*d**2
Let w(j) = -7*j**3 + 13*j**2 - 62*j - 6. Let n(q) = -13*q**3 + 25*q**2 - 122*q - 11. Let z(m) = -6*n(m) + 11*w(m). What is the second derivative of z(y) wrt y?
6*y - 14
Let p be 4*(-1 - (-42)/8). Find the second derivative of p*w + 11*w**5 - w**5 - 19*w wrt w.
200*w**3
Let u(d) = -19*d**4 - 6*d**3 + 12*d - 3. Let c(a) = 39*a**4 + 14*a**3 - 24*a + 7. Let z(m) = -4*c(m) - 9*u(m). What is the second derivative of z(l) wrt l?
180*l**2 - 12*l
Suppose -5*t - 3*h + 15 = 0, 3*t - 8 - 1 = 3*h. Find the second derivative of z - 13*z + 5*z + z**3 + t*z wrt z.
6*z
Find the first derivative of 2*t**3 + 6*t**4 - 16*t**4 + 70*t**4 + 23*t**4 + 135 wrt t.
332*t**3 + 6*t**2
Suppose -28 = -4*x - 8. Let a(h) be the second derivative of 0*h**4 + 1/15*h**6 + 0 + h - 1/2*h**3 + 0*h**x + 0*h**2. Find the second derivative of a(n) wrt n.
24*n**2
Let j be 3/12 - -2 - 2/8. What is the second derivative of -9*a + 4*a**5 + 48*a**j - 48*a**2 wrt a?
80*a**3
Let n(p) = 755*p**2 + 13*p + 79. Let a(v) = -377*v**2 - 7*v - 40. Let d(x) = 11*a(x) + 6*n(x). What is the second derivative of d(c) wrt c?
766
Let s(o) be the first derivative of 46*o**6/3 + 38*o**3/3 + 2*o**2 - 182. What is the third derivative of s(u) wrt u?
5520*u**2
Let l = 93 + -51. What is the third derivative of 40*v**4 + l*v**2 - 16*v**2 + 4*v**4 - 5*v**2 wrt v?
1056*v
Let b(q) = 731*q**2 + 207*q + 10. Let l(z) = 1462*z**2 + 415*z + 16. Let d(c) = 5*b(c) - 3*l(c). What is the second derivative of d(v) wrt v?
-1462
Let v(k) = -k**2 + 6*k + 6. Let r(x) = 0*x - 4*x + 5*x. Let b(n) = -6*r(n) + v(n). Differentiate b(y) wrt y.
-2*y
Let b(r) = -2*r - 4.
|
{
"pile_set_name": "DM Mathematics"
}
|
h*m wrt h?
156*m - 1080
What is the first derivative of 2*w**4 + w**3 + 1009*w**2 + 3194?
8*w**3 + 3*w**2 + 2018*w
What is the derivative of 73*f**2*o*q + 3*f**2 + 6*f*q + 4*q wrt o?
73*f**2*q
Differentiate 5747*j**2 + 6552 with respect to j.
11494*j
What is the third derivative of 2*c**2*d**3 + 257*c**2*d**2*k - c**2*d**2 - 4*c*d**3*k + 12*d**3*k - 2*d**2*k wrt d?
12*c**2 - 24*c*k + 72*k
Find the second derivative of 2*y**5 + 2338*y**2 - 3297*y.
40*y**3 + 4676
Differentiate -b*h**3 + 12*b*h**2*z**2 - 70*b*h**2 + 4*b*z**2 + 2*h**3*z**2 - 2*h**3 with respect to z.
24*b*h**2*z + 8*b*z + 4*h**3*z
Find the third derivative of 46*c**6 - c**4*g - 2*c**2*g + 32*g wrt c.
5520*c**3 - 24*c*g
What is the second derivative of -3*f**5*k + 79*f**3*k - f + 3*k + 3 wrt f?
-60*f**3*k + 474*f*k
Find the third derivative of 142*q**6 - q**2 + 72 wrt q.
17040*q**3
What is the third derivative of -d**6*x**2 + 23*d**4*x**2 - 7*d**2*x + 10*d*x + x**2 wrt d?
-120*d**3*x**2 + 552*d*x**2
What is the third derivative of 6121*k**3 + 1356*k**2 + 3?
36726
What is the first derivative of -6*l**2*r**2 + 6*l*r**2 + 9*l*r - 12*r**2 + 11*r wrt l?
-12*l*r**2 + 6*r**2 + 9*r
Find the third derivative of -5*h*l**4 - 13*h*l**3 - 7*h*l**2 - 2*h wrt l.
-120*h*l - 78*h
Find the third derivative of 55*k*v**4 - 2*k*v**3 - 2*k*v**2 + 71*k + 2*v**4 wrt v.
1320*k*v - 12*k + 48*v
Find the second derivative of 2*g**3*i**2 + g**3*i + 2*g**2*i**3 - 146*g**2*i - 713*i**3 wrt i.
4*g**3 + 12*g**2*i - 4278*i
What is the third derivative of 106*c**5*k**2 - c**3*y + 2*c**2*k**2*y + 318*c**2*k*y wrt c?
6360*c**2*k**2 - 6*y
Find the second derivative of -1237*z**5 - 2682*z.
-24740*z**3
Find the second derivative of 3435*a**2 - a - 3202 wrt a.
6870
Differentiate 78*a**2*y**2 - a**2 - a*y**3 + 2 wrt y.
156*a**2*y - 3*a*y**2
Differentiate 265*f**3*l*o**2 - 3*f**3 + 2*f**2*l*o**2 + 2650*f**2*o**2 with respect to l.
265*f**3*o**2 + 2*f**2*o**2
What is the first derivative of -229*c - 40?
-229
What is the second derivative of -405*i**3*j**2*k - 3*i**3*j**2 + 2*i**3*j*k + 22*i**3*k - 65*i**2*j*k + 4*i*j**2 wrt j?
-810*i**3*k - 6*i**3 + 8*i
Find the third derivative of 549*x**6 + 613*x**2.
65880*x**3
What is the first derivative of 24143*a**3 - 14098 wrt a?
72429*a**2
Find the third derivative of -285*t**6 - 145*t**2.
-34200*t**3
What is the third derivative of 22*d**6*t - 153*d**5*t - 2*d**2*t - 1026*d**2 - 2 wrt d?
2640*d**3*t - 9180*d**2*t
What is the third derivative of 126*n**3*x**3 - n**3 - 454*n**2*x**3 wrt n?
756*x**3 - 6
What is the third derivative of -2*f*y**5 + f*y**4 + 310*f*y**3 - 397*f*y**2 + 3*y wrt y?
-120*f*y**2 + 24*f*y + 1860*f
Find the third derivative of -a**2*s**4 + 351*a**2 + 6*a*s**4 + s**4 + 2*s**2 wrt s.
-24*a**2*s + 144*a*s + 24*s
What is the third derivative of -2*p**4 - 3439*p**3 - 13*p**2 + 19*p?
-48*p - 20634
Find the third derivative of 9*f**5 - 9*f**4 + 987*f**2 wrt f.
540*f**2 - 216*f
What is the second derivative of 1343*m**2 + 1055*m?
2686
Differentiate -429*f**4 - 315.
-1716*f**3
What is the second derivative of 8384*i**5 + 31*i + 22 wrt i?
167680*i**3
Find the third derivative of 435*j**3*v**6 + 5*j**3*v - 4*v**2 wrt v.
52200*j**3*v**3
What is the derivative of -24*a*h - a*m*r + 6*a*m + 3*a*r**2 + 245*h*m*r**2 + h*r**2 + 6*m wrt a?
-24*h - m*r + 6*m + 3*r**2
Find the third derivative of 5*i**5 + 18*i**4 + 56*i**2.
300*i**2 + 432*i
What is the third derivative of -5725*x**3 - 2*x**2 - 136 wrt x?
-34350
What is the second derivative of 292*a**4 + 368*a?
3504*a**2
Find the third derivative of 15*g**3*y + 3*g**3 + 35*g**2*y + 9*g*y wrt g.
90*y + 18
Find the second derivative of 2794*b**2 + 3686*b wrt b.
5588
What is the second derivative of m**2*o**2*x*z - 35*m**2*o**2 - 4*m**2*o + 3*m*o**2*x*z - 2*m*x - m*z + 22*o**2*x*z wrt m?
2*o**2*x*z - 70*o**2 - 8*o
Find the second derivative of 1741*b**5 + 272*b wrt b.
34820*b**3
What is the first derivative of -n**3*s - 82*n**3 - 2*n**2*s**2 + 68*n*s**2 wrt s?
-n**3 - 4*n**2*s + 136*n*s
What is the third derivative of 10986*v**3 - 114*v**2 + 23*v wrt v?
65916
What is the second derivative of 2*c**5 - 14*c**3 + 12*c**2 - 75*c + 18?
40*c**3 - 84*c + 24
What is the third derivative of -176*b**5*w + b**3*w**2 + 1041*b**2*w**2 + 2*b*w**2 + b + 2 wrt b?
-10560*b**2*w + 6*w**2
What is the second derivative of 358*k**2 + 26*k - 13 wrt k?
716
What is the third derivative of -12*a*p**4 + 2*a*p**2 - 246*a*p + 14*p**4 wrt p?
-288*a*p + 336*p
What is the derivative of -2*o*v**3 + 9*o*y - 17*o - v**3*y - 28*v*y wrt v?
-6*o*v**2 - 3*v**2*y - 28*y
Differentiate -20694*n - 26977.
-20694
What is the second derivative of 5493*z**5 - 91*z - 1?
109860*z**3
Find the second derivative of -5*f*n*s**2*t + f*n*s**2 - 2*f*n*s - f*n*t + f*s + 2*f - 2*n*s**2 + 7*n*t + s**2 wrt s.
-10*f*n*t + 2*f*n - 4*n + 2
What is the second derivative of -18*d**2*i**2*q*v - 2*d**2*i*q**2*v - 4*d**2*q**3*v - 16*d*i*q**3*v + 8*d*i*q**2 - 2*i**2*q**3*v - 2*i*q**3*v wrt i?
-36*d**2*q*v - 4*q**3*v
What is the third derivative of -18480*g**3*v**3 + 26*g**3 - g*v**2 + 2*v - 2 wrt v?
-110880*g**3
What is the first derivative of -31*d*i*w - 2*d*i + 689*i - 2 wrt w?
-31*d*i
What is the first derivative of 1366*y**3 - 194 wrt y?
4098*y**2
Differentiate 396*i - 1377 with respect to i.
396
What is the first derivative of -4*a**2*m**2 + a**2*m - 6*a**2*y + 12*a*m - 114*m**2*y wrt y?
-6*a**2 - 114*m**2
What is the first derivative of -86*a**3*f - 37*a**3 - 2*a**2 + f**3 + 3*f**2 - 3*f + 26 wrt f?
-86*a**3 + 3*f**2 + 6*f - 3
What is the derivative of -3*b**2*s**2 + 25*b*s**2 + 4*b - 2*s**2 + 220*s wrt b?
-6*b*s**2 + 25*s**2 + 4
What is the third derivative of -3*r**5*x**2 + 9*r**5 - r**3 - 22*r**2*x**2 + 3*r**2 + x**2 wrt r?
-180*r**2*x**2 + 540*r**2 - 6
Find the second derivative of 25*p**4 + 8*p**3 - p**2 + 1349*p wrt p.
300*p**2 + 48*p - 2
What is the second derivative of 2*b*c**5 - 2*b*c**2 + 57*b - 10*c**2 - 9*c wrt c?
40*b*c**3 - 4*b - 20
Differentiate -97*l**3 + l**2 + l - 4786.
-291*l**2 + 2*l + 1
What is the second derivative of s**3 + 32*s**2 - 232*s wrt s?
6*s + 64
Find the first derivative of 4*h*t**3 + 227*h*t**2 - 256*h + 3 wrt t.
12*h*t**2 + 454*h*t
What is the third derivative of 2*q**3*r**3 - 354*q**3*t**3 - 2*q**2*r**3 - 3*q**2 - 2*q*r*t - 9*t**3 wrt q?
12*r**3 - 2124*t**3
What is the third derivative of -8*l**3*x**3 + 28*l**3 - 3*l**2*x**4 + 8*l**2*x**2 wrt x?
-48*l**3 - 72*l**2*x
Find the second derivative of -307*u**3*w**2 - 5*u**3 + 2*u**2*w + 4*w**2 + 53*w wrt w.
-614*u**3 + 8
Find the second derivative of 15*x**4 - 42*x**3 - 6485*x.
180*x**2 - 252*x
What is the second derivative of -3*o**5*u**2 + 5*o**5*u + o*u**2 + 6*u**2 - 4*u wrt o?
-60*o**3*u**2 + 100*o**3*u
What is the derivative of 91*b*u*x**3 - 3*b*u - 4*b*x**2 - 16*b - 33*u - 4*x**3 wrt x?
273*b*u*x**2 - 8*b*x - 12*x**2
Find the second derivative of 721*x**2 - 1264*x.
1442
Find the second derivative of 3*g*r**3*t - g*r**2*t + 6*g*r*t + r**3*t - 37*r**2 - r*t wrt r.
18*g*r*t - 2*g*t + 6*r*t - 74
Find the third derivative of -3*l**2*o**4 - 2*l**2*o**2 + l**2*o + 35*o**4 - 14*o wrt o.
-72*l**2*o + 840*o
What is the derivative of o**3 + 206*o - 278 wrt o?
3*o**2 + 206
Differentiate 2*b**2*j*w**3 + 58*b**2*j*w - 2*j*w - 6*w**3 wrt b.
4*b*j*w**3 + 116*b*j*w
Find the second derivative of 5*d**5*g**3 + 4*d**5*g - 3*d**2 + 6*d*g**3 + 16*d*g wrt d.
100*d**3*g**3 + 80*d**3*g - 6
What is the derivative of 69*a*m**3*x + a*m - a*x + 15*m**3*x + 91*x wrt a?
69*m**3*x + m - x
What is the first derivative of -600*x - 15106 wrt x?
-600
Find the third derivative of 7719*v**6 - v**3 + 11955*v**2 wrt v.
926280*v**3 - 6
Find the third derivative of -745*f**3*w + 2*f**2*w - 5*f**2 + 6*f*w - f wrt f.
-4470*w
What is the first derivative of 10961*c*h - 7987*h wrt c?
10961*h
What is the third derivative of -23*o**5 + 90*o**4 + 1255*o**2 wrt o?
-1380*o**2 + 2160*o
Find the third derivative of 40*l**3*w**3 + l**3 + 11*l**2*w**3 + 579*l*w**2 wrt w.
240*l**3 + 66*l**2
What is the third derivative of -41*a**6 + 82*a**3 - 3*a**2 + 282*a + 1?
-4920*a**3 + 492
What is the second derivative of 44*j*l*p**3 - j*l*p + 835*j*l - 4*j*p**3 - j*p**2 + 2*l*p wrt p?
264*j*l*p - 24*j*p - 2*j
What is the third derivative of 25*f**3 + f**2 - 33 wrt f?
15
|
{
"pile_set_name": "DM Mathematics"
}
|
401*n wrt d?
33626040*d*n - 672*d + 12*n
Differentiate -u**3*w + 107038269*u**3 + u**2*w - 4*u*w + 53543*w wrt w.
-u**3 + u**2 - 4*u + 53543
Find the first derivative of 7*h**2*x**3 - 13842073*h**2*x + h**2 + 31519*h + 949 wrt x.
21*h**2*x**2 - 13842073*h**2
What is the derivative of 2*f**4 - 31873691*f**3 + f**2 + 285396966 wrt f?
8*f**3 - 95621073*f**2 + 2*f
What is the first derivative of 5541*u**3 - 33*u**2 - 309719681?
16623*u**2 - 66*u
What is the derivative of 30*a**2*r - 2*a**2 + 150229*a*r + 2*a + 2822904*r - 17 wrt a?
60*a*r - 4*a + 150229*r + 2
Find the first derivative of -d*q**2 - 3554*d*q + 721504053*d - 54*q**2 - 2 wrt q.
-2*d*q - 3554*d - 108*q
Find the second derivative of -19907957*n**2 + 2*n - 9671771 wrt n.
-39815914
What is the second derivative of 2*n**3*t**3 + 10738867*n**2*t + 4*n*t**3 + 10151173*t**2 wrt n?
12*n*t**3 + 21477734*t
What is the second derivative of 1509761*l**3*z**2 + 2*l**3 - 6*l**2*z**2 + l*z + 25885247*z wrt z?
3019522*l**3 - 12*l**2
What is the second derivative of 10106035*i**5 + 1191*i + 1946 wrt i?
202120700*i**3
Find the second derivative of -535*m**2*r*u + 10370*m**2*u - 3*m*r + 3*m*u + 695328*m wrt m.
-1070*r*u + 20740*u
Find the second derivative of -9*a**2*k*t - 142665*a**2*t - 6*a**2 + 712*a*t + 126*k - 3*t wrt a.
-18*k*t - 285330*t - 12
Find the first derivative of -63597613*m**3 + 48791479.
-190792839*m**2
What is the second derivative of 56181618*k**2 + 239783719*k?
112363236
What is the derivative of 13168289*s**2*w - 47*s**2 + 6127197*s + 3*w**2 + 3*w wrt w?
13168289*s**2 + 6*w + 3
What is the first derivative of -12058652*x**3 + 4977748 wrt x?
-36175956*x**2
What is the second derivative of -5864582*g**2*m*p - 7*g*m + 2*g*p + 1472*g + 2*m*p - 43*p - 2 wrt g?
-11729164*m*p
What is the derivative of 3*f*i**3 + 1125539*f*i**2*w**2 + 307*f*i**2 + 236*f - 3*i**3*w**2 wrt w?
2251078*f*i**2*w - 6*i**3*w
Differentiate -447*r*s**2 - 2*r*s - 1157744*r + 10*s**2 + s wrt s.
-894*r*s - 2*r + 20*s + 1
Differentiate 459949460*x**2 + 384275919 with respect to x.
919898920*x
Find the third derivative of -36466042*w**6 + 3383971*w**2 wrt w.
-4375925040*w**3
What is the second derivative of 21403330*f**4 - f**3 + 42571891*f?
256839960*f**2 - 6*f
What is the third derivative of x**5 - 980*x**4 + 3613*x**3 - 355089553*x**2?
60*x**2 - 23520*x + 21678
What is the third derivative of -600796*x**5 + 7*x**4 + x**3 - 4657*x**2 + 8*x + 53 wrt x?
-36047760*x**2 + 168*x + 6
Find the second derivative of 371640000*c**2 - 110215820*c wrt c.
743280000
Find the third derivative of 567553398*f**3 - 565408539*f**2 wrt f.
3405320388
Differentiate 692690*q**4 + 17*q**3 - 11898470 with respect to q.
2770760*q**3 + 51*q**2
What is the third derivative of 67550232*n**4 + n**2 + 131*n - 65866 wrt n?
1621205568*n
What is the third derivative of -17866667*h**4*s**3 - 3*h**2*s**3 - 1069040*h**2*s wrt h?
-428800008*h*s**3
Find the second derivative of -647070327*m**3 - 1013177752*m wrt m.
-3882421962*m
What is the second derivative of 348509226*k**2*y**2 - 2*k*y**2 + 199*k*y + 95*k - y**2 + 6*y - 15 wrt k?
697018452*y**2
Find the third derivative of 2688085*j**3 + 6*j**2 + 31*j + 2202 wrt j.
16128510
Differentiate 24185569*g**3 - 18614113 with respect to g.
72556707*g**2
What is the second derivative of 415373*j**5 + 4*j**4 - 63*j + 2948?
8307460*j**3 + 48*j**2
Find the second derivative of 135318566*h**3 - 567637769*h.
811911396*h
What is the second derivative of -112455838*p**2*y**2 + 2*p**2*y + 6*p*y**2 - 1126146*p*y + 5*p wrt p?
-224911676*y**2 + 4*y
What is the first derivative of 118879*v**3 + 1186*v**2 - 559626076?
356637*v**2 + 2372*v
Find the third derivative of 16424*f**2*g**3*s**2 - 27823*f**2*s**2 + 806*f*g**3*s**2 - 160*g**2*s wrt g.
98544*f**2*s**2 + 4836*f*s**2
What is the derivative of 26*c**4 + 8112*c**2 - 126*c - 467184065 wrt c?
104*c**3 + 16224*c - 126
What is the second derivative of 6*i**3 + 1925746*i**2 + 13784633*i wrt i?
36*i + 3851492
Differentiate 490808*h*n*w**2 + 7*h*n*w*y - 7*h*w - 2*h - n*y - 10*w**2 + 1295*y - 1 with respect to n.
490808*h*w**2 + 7*h*w*y - y
Find the second derivative of 6142*l**2*n**2*u + 385*l**2*n**2 + 6355*l**2*n*u - l**2 - l*n*u + 2*u - 431 wrt n.
12284*l**2*u + 770*l**2
What is the third derivative of 4827642*f**3*g**4 - 24021*f**3*g**2 + 46*f**3 + f*g**2 + g**2 wrt g?
115863408*f**3*g
What is the second derivative of -q**5 - 3*q**4 + 844331*q**2 - 572*q + 53367?
-20*q**3 - 36*q**2 + 1688662
What is the second derivative of -3425485*s**2*v + 25*s*v - 3*s - 30*v + 255 wrt s?
-6850970*v
What is the third derivative of -112*u*w**4 + 2*u*w - 11710*u + 13371*w**6 + 256*w**2 wrt w?
-2688*u*w + 1604520*w**3
What is the second derivative of -280359323*g**2 + 226193184*g wrt g?
-560718646
Find the third derivative of -9960935*o**3 + 2368*o**2 + 1183*o + 1 wrt o.
-59765610
What is the second derivative of 7350199*f**3*i**2 - 4*f**3 - 5385*f**2*i - f*i + 8*f + 5*i wrt i?
14700398*f**3
Differentiate 48955*n**3*p*w + n**3 + 103*n**2*p*w - 2*n*w + 1644286*n with respect to p.
48955*n**3*w + 103*n**2*w
Find the second derivative of 6494364*p**2 + 2028*p + 2026 wrt p.
12988728
Find the third derivative of 826*t**6 + 4531*t**5 + 24*t**2 - 51*t - 53.
99120*t**3 + 271860*t**2
Find the second derivative of 1201790*l*t**2 - 82*l*t - 24182*t wrt t.
2403580*l
What is the third derivative of 2*v*w**3 - 2*v*w**2 + 5*v*w*y + 234*v*y**3 - v*y - 40*v + 52788730*w**3*y**3 - 3*w**2*y**3 + 11*w**2 wrt w?
12*v + 316732380*y**3
Differentiate 15*h*i**2 - 5*h*i*q + 18*h*i + 11*h - 879*i**2*q**2 - 2004*i**2 + 451*q**2 with respect to q.
-5*h*i - 1758*i**2*q + 902*q
What is the third derivative of 47372667*t**4 + 17472636*t**2 - t wrt t?
1136944008*t
Find the second derivative of -1290*b**3*d + 8774*b**3 + 244*b*d + 572*b - 22*d wrt b.
-7740*b*d + 52644*b
Find the third derivative of 3584*q**4*z**2 - 10243*q**4*z + 554*q**2 + 20807*q*z**2 - q wrt q.
86016*q*z**2 - 245832*q*z
Find the second derivative of 5*p**5 + p**3 + 122928*p**2 + 3096494*p wrt p.
100*p**3 + 6*p + 245856
Differentiate -22784616*f**2 + 21014076 wrt f.
-45569232*f
Find the first derivative of -6297*w**3 + 13335*w**2 - 53115309 wrt w.
-18891*w**2 + 26670*w
Differentiate 16727*a**3*i*u - 45*a**3*u**2 + 2*a**2 - 140*a*i*u**2 - 2*u**2 + 2*u + 17117 with respect to i.
16727*a**3*u - 140*a*u**2
Find the first derivative of 151111*d**2 - 25*d + 25490670 wrt d.
302222*d - 25
Find the third derivative of -9166287*b**4 - b**2 + 3559134*b + 2.
-219990888*b
Find the second derivative of 6308129*x**2 - 1529967*x - 7.
12616258
Find the third derivative of -291564466*k**3 - 246955523*k**2 + 1 wrt k.
-1749386796
What is the third derivative of -66*a**3*u**3 - 12*a**3*u**2 + a**3 + a**2*u**2 - 48*a*u**3 + 86*a*u - 355*u**3 + 7*u**2 wrt u?
-396*a**3 - 288*a - 2130
What is the second derivative of 403*s**2*u**3 - 4*s**2*u - 4042106*s*u + 642*u**4 - 5*u**3 wrt u?
2418*s**2*u + 7704*u**2 - 30*u
What is the second derivative of -36419758*l**2 + 734772916*l?
-72839516
What is the derivative of -5*t**2*v**2 + 46519*t**2*v + t*v**3 - 2*v**3 - 6469077*v**2 wrt t?
-10*t*v**2 + 93038*t*v + v**3
What is the first derivative of 3*t**3 + 51384*t + 13602306?
9*t**2 + 51384
What is the third derivative of 25277850*w**4 + 15908834*w**2?
606668400*w
What is the first derivative of -72628593*f**2 - 4853732 wrt f?
-145257186*f
Find the first derivative of 10428554*o*s**3 + s**3 + 1984*s**2 + 281 wrt o.
10428554*s**3
Find the third derivative of 13505*g**2*p**4 + g**2*p**2 - 20317771*g**2*p + g*p**2 + 3514*p**4 + 2*p**2 wrt p.
324120*g**2*p + 84336*p
What is the derivative of 34*m**4 - 4*m**3 + 42694*m**2 + 334372301?
136*m**3 - 12*m**2 + 85388*m
Find the third derivative of 196967520*q**3 + 4*q**2 + 14714077.
1181805120
Find the first derivative of 146*g**3 + 35064*g**2 + 4220215 wrt g.
438*g**2 + 70128*g
What is the second derivative of 679333849*a**3 - 83294890*a?
4076003094*a
Find the third derivative of -4808059*x**3 - 24312666*x**2.
-28848354
What is the second derivative of -564*h**5*j**3 - 3250*h**2*j + 2*h*j**3 - 4351*h*j**2 - 3355*h wrt h?
-11280*h**3*j**3 - 6500*j
Find the second derivative of -1201942*p**3*x**2 + 33*p**2*x**2 + 26879*p*x**2 - 4*p + 2*x**2 - x wrt p.
|
{
"pile_set_name": "DM Mathematics"
}
|
to the nearest integer?
40
Suppose 10024 = 4*o - 31756. Let c = o + -31345. Round c to the nearest 1000.
-21000
Let x = -114 + 115.88. Let d = x - 2.306. What is d rounded to 2 dps?
-0.43
Let l be -1 + -2 + (1399998 - -5). Let a be l - (-4 - (2 - 6)). What is a rounded to the nearest one million?
1000000
Let m = -0.993 + 0.912. What is m rounded to 3 decimal places?
-0.081
Let p be 3 + (-736595489)/21 + 2/(-6). Let j = p - -18275973. Round j to the nearest one million.
-17000000
Let y = -10 + 13. Let g(b) = -b - 1. Let j be g(-4). Suppose -x + j*v = -53991, -54009 = 2*x - y*x - 3*v. What is x rounded to the nearest ten thousand?
50000
Let n(i) = -9*i + 5. Let w be n(5). Let s be (w/(-30))/((-1)/(-10950)). Round s to the nearest 1000.
15000
Let z = 36411352358275.71999945 - 36411355590789. Let h = 3232513 + z. Let t = 0.28 + h. What is t rounded to 7 decimal places?
-0.0000006
Let u = -2352.36 - -2395. What is u rounded to the nearest 10?
40
Let i(k) = -2400*k**2 - k - 10. Suppose 5*u - 15 = 15. Suppose -a - 4 = u. Let b be i(a). Round b to the nearest one hundred thousand.
-200000
Let f = -0.04463323 + -19.95539077. Let r = 27 + -47. Let b = r - f. Round b to five decimal places.
0.00002
Let v = 40.3 + -48. Let k = -7.70000061 - v. Round k to 7 decimal places.
-0.0000006
Suppose -17321 = 10*f + 39299. Round f to the nearest 1000.
-6000
Let q be 24*(-6)/(126/581875). Round q to the nearest 100000.
-700000
Let o = 252 + -251.99889. Round o to four dps.
0.0011
Let n = -54.195 - -45.13. Let p = -0.165 - n. Let c = 3.8 - p. Round c to the nearest integer.
-5
Let k = 0.0778 - 0.05972. Round k to three dps.
0.018
Suppose 19000 = -v - 3630. Round v to the nearest 1000.
-23000
Let y = -1055 - -1004.1. What is y rounded to the nearest 100?
-100
Suppose -5*r - 35 = -10*r. Let l = r + -2. Let u(a) = 21599*a**3 + 6*a**2 - 4*a - 5. Let m be u(l). What is m rounded to the nearest 1000000?
3000000
Let j = 143 + -73. Let w = -70.00117 + j. What is w rounded to four dps?
-0.0012
Let i = 45.19 - 49.7. Let q = i - -4.50999479. Round q to 6 dps.
-0.000005
Let g = 2330 - 2217.3. Let q = -150 - -46. Let o = g + q. What is o rounded to 0 dps?
9
Let b = -43 - -45. Suppose l = 4*t - 46300020, 4*l - b*t = -3*t - 185199995. Round l to the nearest one million.
-46000000
Let r = -1.0785 + 1.29836. Let j = 0.223 - r. What is j rounded to three decimal places?
0.003
Let w(u) = -u**2 + u + 15. Let n(l) = -2*l - 5 - 3 + l + 4. Let m be n(-4). Let s be w(m). Round s to the nearest integer.
15
Let q = -307 + 334.7. Let d = 5073292024 + -5073291996.30000181. Let t = d - q. What is t rounded to 7 dps?
-0.0000018
Suppose 4*q = -3*x + 262 + 48, -4*q = -x - 302. Let n be 20*(q/8 + 2). Let w be n + (-1 - 3) + 4. Round w to the nearest one hundred.
200
Let z = 2414 - 1624. What is z rounded to the nearest 100?
800
Let c = 32 - 306. Let h = c - -269.53. What is h rounded to one decimal place?
-4.5
Suppose 0 = 30*g - 25*g - 14105. Let f be g + 3 + -4 + 0. What is f rounded to the nearest 100?
2800
Let b = -669 + 712.75. What is b rounded to 0 decimal places?
44
Let h = -343.6 + 78.8. Let p = -47.8 - h. Let u = 230.7 - p. What is u rounded to 0 dps?
14
Let y(k) = -4*k**3 - 22*k**2 - 17*k - 14. Let s be y(-16). What is s rounded to the nearest ten thousand?
10000
Let n = -92.0077 - -92.1. Round n to 3 dps.
0.092
Let n(t) = -171*t - 1. Let r be n(-1). Let o = r + -388. What is o rounded to the nearest ten?
-220
Let z = 31 + -27. Suppose -y - z*f = 17, 0*y - 2*f = -4*y - 14. Let d(w) = 7*w**2 + 4*w - 3. Let n be d(y). What is n rounded to the nearest ten?
150
Let t be (4/12)/((-1)/(-27)). Let s = t - 17. Let y be (-21)/(-2)*(-2 - s). What is y rounded to the nearest 10?
60
Suppose 2*l + 3*l - 5283552 = -4*s, -5*s - 2*l = -6604440. Let k = 870888 - s. What is k rounded to the nearest 100000?
-500000
Let n(c) = 16286*c**2 - 13*c - 37. Let h be n(-8). Let p = -547371 + h. Round p to the nearest 10000.
500000
Let p = -28 + 26.9. Let o = -9.9 + p. Let d = 8.92 + o. What is d rounded to one dp?
-2.1
Suppose -2672 = -4*x - v, -x + 2*x - 2*v = 677. Round x to the nearest ten.
670
Let z = -3154 + 3166.698. Round z to one decimal place.
12.7
Let m = 41.3002304 + -41.3. What is m rounded to 5 dps?
0.00023
Let b(g) be the second derivative of 0 - 6*g - 2399999/20*g**5 + 0*g**4 + 1/2*g**2 + 0*g**3. Let s be b(-1). What is s rounded to the nearest 1000000?
2000000
Let b(g) = -7*g**2 - 30*g - 2. Let u be b(-28). Round u to the nearest one thousand.
-5000
Let h = -93.22 - -0.22. Let l = 92.53 + h. Let v = 1.95 + l. What is v rounded to one decimal place?
1.5
Let r = 46034 + -46033.59018. Let p = -0.41 + r. What is p rounded to 4 dps?
-0.0002
Let b = 0.81000571 - 0.81. Round b to seven decimal places.
0.0000057
Let y = -19 + 36. Let m = 16.9948 - y. Round m to 3 decimal places.
-0.005
Suppose 0 = 3*h - 3*q - 30, 3*q = h + 5*q - 1. Suppose 0 = -h*y + y + 540. Round y to the nearest 100.
100
Let r = 3 - 4. Let s = -1.02 - r. Let p = -0.26 - s. What is p rounded to one decimal place?
-0.2
Let s = -0.033803 + -11.965357. Let a = 42 + -30. Let m = a + s. Round m to four decimal places.
0.0008
Let k = 94 - -28. Let w = k + -121.99999971. What is w rounded to seven dps?
0.0000003
Let r = 128598 + -832669. Let q = r - -1224071. Round q to the nearest 100000.
500000
Let y = -15 + 10. Let b = y - -11. Let a(m) = 1187*m - 22. Let r be a(b). Round r to the nearest one thousand.
7000
Let k = -264 + 475. Suppose 5*o - b = 997, 4*o + 2*b = k + 581. Let c = 100 - o. Round c to the nearest 10.
-100
Let n be (-1)/7 + (174816/42)/(-12). Round n to the nearest ten.
-350
Let u = -0.6348997 + 0.635. Round u to five decimal places.
0.0001
Let p = 93540 - -12413. Let g = -105953.0510115 + p. Let o = -0.051 - g. Round o to 6 dps.
0.000012
Let a = 35 + -34.66. Let i = 733 - 732.677. Let u = i - a. Round u to 2 decimal places.
-0.02
Let q = 3.3 - 2. Let x = -9.81125 + 8.512. Let t = x + q. What is t rounded to four dps?
0.0008
Let g = -292 - -292.00000095. Round g to 7 decimal places.
0.000001
Suppose 5702 = d + 2*p, -4*d - 4*p + 22828 = -p. Round d to the nearest 1000.
6000
Let o be (-95600005)/(-20) - 5/20. What is o rounded to the nearest one million?
5000000
Suppose 7*j - 18*j = 14124. Let i = j + -60116. What is i rounded to the nearest 10000?
-60000
Let r = -48.55 - -48. Let l = r + 0.59. What is l rounded to two dps?
0.04
Let l = -1124.0002754 - -1124. What is l rounded to five decimal places?
-0.00028
Let r = 1892812 - 1116812. Round r to the nearest ten thousand.
780000
Suppose 4*h = -h + 10. Suppose 0 = 2*g + 2*b + h, -4*g = 3*b + 3 - 2. Suppose 3*j - 5 = -2*v - 2, g*v - j = -1. Round v to five dps.
0
Let v = 104.1276537667 - 1.1276567067. Let i = 103 - v. What is i rounded to six decimal places?
0.000003
Let k = 0.19758 - 0.192. What is k rounded to three decimal places?
0.006
Let q = -225886.9 + 225887.0079907. Let d = 0.17 + -0.062. Let l = d - q. Round l to 6 decimal places.
0.000009
Let j = 16 - 18. Let b be 3*1 - (27615/3 + j). What is b rounded to the nearest one thousand?
-9000
Let i = 0.6814 + 28.1086. Let h = i + -29. Round h to two decimal places.
-0.21
Let a = 0.533 - -212.467. Let y = 303 - a. Let t = y + -90.0000196. Round t to 6 dps.
-0.00002
Let d = 12271989 - 5280039. Suppose -5*q + 41800008 = -4*y, 2*q + 2*y - 9728046 = d. Suppose -5*u + u - q = 0. Round u to the nearest 100000.
-2100000
Let g = 96.945 + -94. Let h = -2.947 + -0.153. Let b = g + h. Round b to 2 decimal places.
-0.16
Let z = 36 - 31. Suppose 7432345 - 52432345 = z*y. Round y to the nearest one million.
-9000000
Let i = 214 + -213.999999914. Round i to 7 dps.
0.0000001
Let m(a) = -2*a**2 + a - 26. Let q be m(11). Round q to the nearest 10.
-260
Let u = -22.3 - -30. Let n = -7.7000007 + u. What is n rounded to six dps?
-0.000001
Let g = -3.73 + 1.96. Let m = 1.2 + g. What is m rounded to one decimal place?
-0.6
Let n = -359470328.000429 + 359470592. Let r = 264 - n. What is r rounded to 4 dps?
0.0004
Suppose 0 = g - 3*g + 8. Let w be 873/g - 2/8. Let r be w/9 + (-2)/9. Round r to the nearest 10.
20
Let t = -59.000216 - -59. What is t rounded to 5 decimal places?
-0.00022
Let r be 4/3 + 10/(-3). Let v be -782003 + r*6/(-4). What is v round
|
{
"pile_set_name": "DM Mathematics"
}
|
q**2 - 4 + 4 - q**m + 0*q**5 wrt q.
-60*q**2
Let b(c) = 2*c**4 + 6*c**3 - 20*c + 6. Let x(d) = 3*d**4 + 5*d**3 - 21*d + 5. Let q(g) = -5*b(g) + 6*x(g). What is the second derivative of q(h) wrt h?
96*h**2
Let n(k) = -k**2 - 5*k + 2. Let o be n(-5). Let y(v) be the first derivative of 1/2*v**2 + o - v. Differentiate y(g) with respect to g.
1
Let l(r) be the first derivative of -r**4/4 - 2*r**3/3 - 2*r - 2. Let x(s) be the first derivative of l(s). Find the second derivative of x(u) wrt u.
-6
Suppose -6 = -j - 1. Let n(d) = -d + 7. Let u be n(j). What is the derivative of u + 2 - w**2 - 1 wrt w?
-2*w
Let z be 6*-2*(-3)/4. Suppose 1 - z = -4*v. What is the third derivative of 2*s**2 + v*s**4 - 4*s**2 + 3*s**2 wrt s?
48*s
What is the first derivative of 30*t**3 - 30*t**3 + 4*t**4 + 11 wrt t?
16*t**3
Let l(b) = -8*b**2 + 7*b + 5. Let g(c) = 4*c**2 - 4*c - 2. Let m(q) = 5*g(q) + 2*l(q). What is the second derivative of m(r) wrt r?
8
Let l = -16 - -18. Let z(x) be the third derivative of 1/24*x**4 + 0 + 0*x + 2*x**l - 1/60*x**5 + 0*x**3. What is the second derivative of z(d) wrt d?
-2
Let k(q) = -8*q**2 + 3. Suppose -2 + 0 = t. Let m(f) = -8*f**2 - f + 2. Let p(a) = t*k(a) + 3*m(a). Find the second derivative of p(v) wrt v.
-16
Let u(m) = 9*m**2 + 4. Let w(i) = -8*i**2 - i - 5. Let k(p) = -5*u(p) - 4*w(p). What is the second derivative of k(a) wrt a?
-26
Let z(j) = j - 1. Let f be z(4). Suppose f*r - 10 = -2*r. What is the second derivative of a + 0 + 0 - r*a**4 wrt a?
-24*a**2
Let y = 12 - 20. Let l(r) = r**2 + 7*r - 4. Let t be l(y). Find the first derivative of -f + 2*f + f + t wrt f.
2
Find the third derivative of 193*u + 5*u**2 - 7*u**4 - 193*u wrt u.
-168*u
Find the third derivative of -4*w**2 - 5*w**2 - 6*w**6 - 2*w**2 + 3*w**2 wrt w.
-720*w**3
Find the second derivative of 4*n + 2*n**2 + 8*n - 3*n**2 wrt n.
-2
Suppose -d + 1 = -5. Let t(z) be the third derivative of 0 - 1/3*z**3 + 1/60*z**d - 2*z**2 + 0*z**5 + 0*z**4 + 0*z. Find the first derivative of t(i) wrt i.
6*i**2
Let l(j) = -j. Let i be l(4). Let x be ((-12)/9)/(i/6). What is the third derivative of -14 + 14 + 3*k**x + 2*k**5 wrt k?
120*k**2
Let s = -3/70 - -1/7. Let y(p) be the second derivative of -s*p**5 + 0 + 0*p**4 + 0*p**3 + p**2 - p. What is the first derivative of y(t) wrt t?
-6*t**2
Let c(s) = 3*s**4 - s - 3. Let i(j) = 4 - 6 - j + j + 4*j**4. Let p(t) = -2*c(t) + 3*i(t). Find the second derivative of p(w) wrt w.
72*w**2
Let a(i) be the first derivative of -5*i**2/2 + 6*i - 4. Differentiate a(u) with respect to u.
-5
Let q(p) be the first derivative of 11*p**4/2 + 16*p - 27. What is the first derivative of q(w) wrt w?
66*w**2
Let z(v) be the second derivative of -19*v**7/21 - v**4/6 + 21*v**2/2 - 10*v - 2. What is the third derivative of z(b) wrt b?
-2280*b**2
Let w(h) = 1. Let b(g) = -6*g**2 + 1. Let u(f) = b(f) - 4*w(f). Differentiate u(o) with respect to o.
-12*o
Let j(a) = -11. Suppose -5*f + 12 - 7 = 0. Let u(q) = -q - 1. Let w(p) = f*j(p) - 6*u(p). What is the derivative of w(n) wrt n?
6
Let s(y) = -y**2 - 9*y - 13. Let r be s(-6). What is the second derivative of -2 + 5 - 4*z - 3 - z**r wrt z?
-20*z**3
Let l(b) be the second derivative of -b**4/3 + b**2/2 - 6*b. Differentiate l(q) wrt q.
-8*q
Find the first derivative of 1 + 7 + 0*z**4 + 3*z**4 - 12*z**4 wrt z.
-36*z**3
Let f be 3 - 1 - 20/(-2). Let b be (8/(-6))/((-4)/f). Find the third derivative of -2*j**4 - 4*j**3 - j**2 + b*j**3 wrt j.
-48*j
Let p(t) = -2*t**2 - 3*t - 9. Let b(o) = 5*o**2 + 8*o + 26. Let h(u) = -3*b(u) - 8*p(u). Differentiate h(a) wrt a.
2*a
Let o be (27/(-9))/((-3)/2). What is the third derivative of -2*i**2 + i**2 + i**2 + o*i**2 - 7*i**5 wrt i?
-420*i**2
Let c(a) = -a**2 - 6*a + 3. Let s be c(-6). Suppose 4 = s*t - 2. What is the third derivative of -2*r**2 + 0*r**3 + 3*r**t + r**3 + r**2 wrt r?
6
Let j be 36/10 - (-4)/10. What is the third derivative of 13*s**j - s**3 - 4*s**4 - 3*s**2 + s**3 wrt s?
216*s
What is the third derivative of 4*k**6 + 117*k + 6*k**2 - 117*k wrt k?
480*k**3
Let h = -18 + 25. Let o = h - 5. Find the third derivative of -27*b + 3*b**6 + 27*b - b**o wrt b.
360*b**3
Suppose -3*a + 22 = 4*p, 6 = -4*a + 5*a + p. Find the third derivative of 11*d**a + 0*d**6 + 6*d**6 - 14*d**2 wrt d.
720*d**3
Let c = 99 - 197/2. Let g(d) be the first derivative of 0*d**3 + 0*d**4 + 0*d + 1 + 0*d**5 - c*d**2 + 1/6*d**6. Find the second derivative of g(f) wrt f.
20*f**3
Let t(m) = 13*m**3 + 5*m**2 + 5*m - 5. Let f(c) = 20*c**3 + 8*c**2 + 7*c - 7. Let l(j) = -5*f(j) + 7*t(j). What is the third derivative of l(a) wrt a?
-54
Let i(p) be the second derivative of p**7/210 - p**4/24 + p**3/6 + 3*p. Let b(q) be the second derivative of i(q). Find the first derivative of b(a) wrt a.
12*a**2
Let v be (-2)/2*2/(-6). Let m(t) be the third derivative of 1/12*t**4 + 0*t + 2*t**2 + 0 - v*t**3. Find the first derivative of m(a) wrt a.
2
Suppose -4*w + 10 = -6. Find the third derivative of j**2 - 7*j**w + 5*j**4 - 2*j**4 wrt j.
-96*j
Suppose 4 = k - 2. Find the third derivative of -f**6 + 2*f**6 - 2*f**2 - f**6 - 3*f**k wrt f.
-360*f**3
Differentiate 3*o + 6 - 8 + 11 wrt o.
3
Find the first derivative of -4*g**4 - 5 + 1 - 29*g**4 wrt g.
-132*g**3
Let x(c) be the second derivative of 0 + 0*c**4 + 1/30*c**6 + 1/2*c**2 + 0*c**5 + 0*c**3 + c. Differentiate x(n) wrt n.
4*n**3
Suppose 0 = -5*q - 3*h + 26, -q - 3*q + 2*h + 12 = 0. Suppose -11 = -5*s + q. Differentiate -7 + 2*x**s + 5 - 4*x**3 with respect to x.
-6*x**2
Let a(z) be the second derivative of -z**6/15 - 2*z**2 + 4*z. Differentiate a(t) wrt t.
-8*t**3
Let h = -16 - -19. Find the third derivative of -3*l - 3*l**3 + l**2 + h*l + 4*l**3 wrt l.
6
Find the third derivative of -5*a**3 + a**2 - 2*a**2 - 7*a**3 - a**2 wrt a.
-72
Let s(p) = -p + 4*p - 1 - p + 2*p**2 + 2 - 2*p**3. Let g(y) = y**2 + y - 1. Let m(j) = -2*g(j) + s(j). What is the derivative of m(t) wrt t?
-6*t**2
Find the second derivative of 7*y**4 - y - 7*y + 0*y + 2*y wrt y.
84*y**2
Let x(q) = -q + 8. Let i be x(5). What is the second derivative of -6*n**3 - 9*n**i + 11*n**3 - 2*n - 3*n wrt n?
-24*n
Suppose 0 = 6*j - 0 - 6. What is the second derivative of -30*w - j + 1 + 31*w + 4*w**3 wrt w?
24*w
Let y(b) be the third derivative of 0 + 3*b**2 + 1/30*b**6 + 0*b**4 - 1/20*b**5 + 0*b**3 + 0*b. Find the third derivative of y(k) wrt k.
24
Let f(z) be the third derivative of -5*z**8/112 + 17*z**5/60 - 16*z**2. What is the third derivative of f(o) wrt o?
-900*o**2
Let u be ((-10)/6)/((-5)/15). What is the third derivative of b**4 - 3*b**u - b**4 + 4*b**2 - b**2 wrt b?
-180*b**2
Let g = 3 + 0. What is the third derivative of -35*y + 4*y**g - 2*y**2 + 35*y wrt y?
24
Suppose -4*g - g + 2 = 3*j, -4*j + 10 = 3*g. What is the first derivative of 3*n**j + 1 + 1 - n + n wrt n?
12*n**3
Let f = 1 - -8. Let p = f + -9. What is the third derivative of 0*a**3 + p*a**2 - a**2 - 4*a**3 wrt a?
-24
Suppose 0 = -q - 4*q. What is the first derivative of 4 - n**3 + q*n**3 - 5*n**3 wrt n?
-18*n**2
Suppose -2*k + 3*a = -16 - 2, 0 = -3*k + a + 13. Suppose -3 - k = -3*z. Find the second derivative of 3*d**z - 2*d**2 - 3*d + d wrt d.
2
Let s be 3/(-2) - (-26)/4. Let b = 1 + s. Find the second derivative of 3*i - b*i + 2*i**2 + 2*i wrt i.
4
Let o(b) = b**2 - 6*b - 3. Let w be (-6)/(-21) + (-94)/(-14). Let n be o(w). What is the third derivative of 6*r**4 + 3*r**2 + 3*r**6 - 6*r**n wrt r?
360*r**3
Let a(h) = h**3 + h**2 + h + 1. Let c(j) = -3*j**4 + 27*j**3 + 5*j**2 + 5*j + 67. Let g(l) = -5*a(l) + c(l). Find the first derivative of g(z) wrt z.
-12*z**3 + 66*z**2
Let a = -3 - -7. What is the first derivative of t**a - 4*t**3 + 2 + 4*t**3 + 2*t**4 wrt t?
12*t**3
What is the second derivative of j - 9*j**2 + j**2 + 4*j wrt j?
-16
Let u(o) be the second derivative of 0*o**2 - 2*o + 1/4*o**4 + 0 + 1/3*o**3. Find the second derivative of u(p) wrt p.
6
Let v(h) be the first derivative of 3*h**5/5 + 3*h**2 + 2. Find the second derivative of v(x) wrt x.
36*x**2
Let m(j) be the first derivative of 3*j**3 - 5 + 7*j + 12 - 10*j**3 + 9*j**3. What is the derivative of m(g) wrt g?
12*g
Let j(x) = x**4 - x**2 - x - 1. Let a(v) = 11*v**4 + 6*v**2 - 4*v - 4. Let c(r) = -a(r) + 4*j(r). Find the third derivative of c(f) wrt f.
-168*f
Let o(l)
|
{
"pile_set_name": "DM Mathematics"
}
|
ber?
False
Let s(r) = -r**3 - r**2 + 593. Let n be s(0). Suppose 0 = -5*k + 2582 + n. Is k a composite number?
True
Let x = -32 + 32. Suppose 0 = 2*k + k + 5*y - 2100, x = 2*k + 3*y - 1399. Let z = k - 72. Is z composite?
True
Let h(w) = -w**3 + 4*w**2 - 3. Let t be h(5). Suppose 138 = b + 5*a, 3*a + 360 = -4*b + 7*b. Let k = b + t. Is k prime?
False
Let c = 272 - 178. Is c a composite number?
True
Let q(f) = -12*f - 5 - 7*f - 10*f + 4*f. Is q(-6) composite?
True
Let c(y) be the second derivative of y**5/10 - 11*y**4/12 + 2*y**3/3 + 15*y**2/2 + 41*y + 2. Is c(8) a composite number?
False
Suppose -2*t + 62 = -2*d, -4*t = -3*t - 3*d - 35. Let q = t + 150. Is q a prime number?
True
Is 2030847/84 - (-1)/4 a composite number?
True
Suppose 2*c = 5*c - 8985. Is c composite?
True
Let r(o) = -o**3 - 11*o**2 - 20*o - 19. Suppose -12*d - 144 = -4*d. Is r(d) composite?
False
Suppose 3*o + 52*n = 50*n + 14279, -n = -2*o + 9531. Is o a prime number?
False
Suppose -4*t + b + 28 = -3*b, b + 22 = 4*t. Suppose a = t - 1. Is (173 - a)/(2 + -1) a composite number?
True
Let w be ((-24)/(-9) - 3)*-3183. Suppose -257 + w = 4*d. Suppose 0 = p + 2*p - d. Is p prime?
True
Let g be (84/8)/(-3)*(-233 - -1). Let q = -415 + g. Is q composite?
False
Let y = 1683 + -140. Is y prime?
True
Let r(o) = -467*o + 2. Let x(h) = -h**3 + 12*h**2 + 12*h + 12. Let j be x(13). Is r(j) prime?
False
Suppose 5*l + 21 - 6 = 0, 3*t = l - 15. Let x(y) = -1. Let i(s) = -15*s - 4. Let u(z) = i(z) - 3*x(z). Is u(t) a prime number?
True
Let k(s) = s + 1. Let q(g) = g**2 - 10*g - 25. Let h(m) = -5*k(m) - q(m). Let w = 1376 + -1370. Is h(w) prime?
False
Let l = 8 - 9. Let w be -2 - (1 + l + 2). Is (-12)/w + 0 + 212 a composite number?
True
Let t = -6412 + 11639. Is t prime?
True
Suppose -o + 22*q = 19*q - 2407, -2*o - 2*q + 4782 = 0. Is o a composite number?
True
Suppose 3*j + 54829 = 4*o, -5*o + 4*j + 100313 = 31776. Is o composite?
True
Suppose 120198 = 11*o - 10955. Is o prime?
True
Let m(c) = c**3 + 7*c**2 + 7*c + 6. Let d be m(-4). Is 9226/d - 28/(-182) a prime number?
False
Let q(x) = 177 - 168 + 55*x + 4*x. Is q(7) a prime number?
False
Let k be ((-2)/(-6))/(4/12). Let b = k + 4. Suppose 3*t = b*y - 1082, -y + 5*t + 429 = y. Is y prime?
False
Let d = -282577 + 416138. Is d composite?
True
Let t = -82 - -120. Let g(l) = -l - 5. Let i be g(-4). Is t*i/2*-1 a composite number?
False
Suppose 448 = a + 38. Suppose 4*u = -a + 16558. Is u a prime number?
False
Let p = -18 + 23. Suppose -6*q + i = -2*q - 8, 22 = 2*q - p*i. Is 705/30*q*2 prime?
True
Let r(x) = -x**2 - 38*x - 2. Is r(-14) composite?
True
Let f = 26 + -49. Let r = f - -36. Suppose r = i - 13. Is i a prime number?
False
Let f = -14 - -16. Suppose 0 = -f*u - u + 27. Suppose 402 = -u*n + 11*n. Is n a composite number?
True
Let x(i) = 4063*i**2 + 76*i + 76. Is x(-1) prime?
False
Suppose -2*m + 69 = 5. Let q = 519 - m. Is q a composite number?
False
Let q = 232 - -289. Is q prime?
True
Let v(o) = 28*o**2 - 35*o - 19. Is v(-8) prime?
True
Let h(a) = 1267*a + 242. Is h(7) composite?
True
Is -183*(-10)/((-180)/(-222)) a composite number?
True
Let k be 3*(2 - 3) + 3. Suppose m - 841 = -4*c, k = 4*m + 3 + 9. Is c a prime number?
True
Suppose -r - 25 = 4*r. Is r/((-15)/6) - -33 composite?
True
Is 5 - (5 - -3) - (-274 - 0) a composite number?
False
Let h = -2178 + 4861. Is h a composite number?
False
Suppose 3*k = -3*k. Suppose k = -4*t - 0*t + 24. Suppose 0 = -11*a + t*a + 255. Is a prime?
False
Is 1*19118 + 9/(-4 - -7) composite?
False
Suppose 13 = -p - 0*p - 5*c, 3*p - c - 9 = 0. Let a be (-468)/p*(-5)/(-10). Let x = a - -230. Is x a composite number?
False
Suppose -2*q + 2*j = q - 10, 2*j = 8. Let m be ((-9)/q)/((-1)/(-48)). Let h = -17 - m. Is h a composite number?
True
Let j(f) = f**2 + 12*f - 18. Suppose 4*o - n - 54 = 0, -o + 0*n + 4*n = -21. Is j(o) a prime number?
True
Suppose 152 = 2*r - 2*u, -71 + 11 = -r - 3*u. Let h = 1409 + r. Is h a composite number?
False
Let w be (4 - 190)/(2 - 25/12). Suppose -4*i - v + w = 0, -12 = -2*i - 5*v + 1086. Is i a prime number?
False
Let y(a) = 10*a + 10. Let v be y(-3). Let l be 1606/(-10) + 8/v. Let k = l - -372. Is k composite?
False
Suppose 17*n = 2*l + 19*n - 17184, 4*l - 34363 = -3*n. Is l prime?
False
Suppose -1050 + 8064 = 14*s. Is s composite?
True
Let r(t) be the first derivative of t**6/90 + 7*t**5/120 + 3*t**4/8 - t**3 + 1. Let w(d) be the third derivative of r(d). Is w(-6) composite?
True
Let o(u) = 151*u - 186. Is o(35) a prime number?
True
Let j = 3531 + -277. Is j prime?
False
Let m(t) = 4*t + 6*t + 0 + 3 + 2*t**2 - 3*t**2. Let b be m(11). Is (-1)/4 + (-3146)/b prime?
False
Let h(i) = -31*i - 13. Let q be h(11). Let o = q + 4687. Is o composite?
True
Let q = 404 - 618. Let k(b) = b**3 - 2*b**2 + 11*b + 481. Let w be k(0). Let a = q + w. Is a a composite number?
True
Let f(g) = -14*g**2 - g + 23713. Is f(0) a composite number?
True
Suppose -5*v + 8*v = -4*r + 133386, 222278 = 5*v - 4*r. Is v a prime number?
False
Let o(g) = -488*g - 317. Is o(-33) prime?
True
Let q be ((-5)/(-3))/(2/6). Suppose -5*m = -3*b - 18953, m - 6231 = -q*b - 2418. Is m a prime number?
True
Let y(k) = 4*k**3 + 21*k**2 + 25*k + 31. Let g(q) = -q**3 - q. Let v(b) = 5*g(b) + y(b). Is v(21) a composite number?
True
Let s(t) = 10*t - 1. Suppose -4*g + 16 = -p, 0*p = -5*g - 2*p + 7. Let y be s(g). Let b = 82 - y. Is b composite?
False
Suppose 0 = i + 4*i - 395. Let o = 60 + i. Is o composite?
False
Suppose 3*l = -2*c - 11498 + 176929, -5*l = 2*c - 275725. Is l composite?
False
Let z(w) = 3*w**3 + 2*w**2 - 7*w. Let j = 7 - 2. Let u be z(j). Suppose 5*r = 2*s + 3*s - u, 3*s - 264 = -3*r. Is s a prime number?
True
Let q = 46 + -40. Suppose 0 = 9*j - q*j - 2355. Is j a prime number?
False
Let l = 16225 + -9668. Is l a prime number?
False
Is ((-70807)/164)/((-2)/8) a prime number?
False
Let o(k) = -3*k + 6 + k**2 - k + 0*k**2 + 0*k. Let t be o(4). Suppose -t*m + 250 = -1256. Is m a prime number?
True
Suppose 5*d - 1 = -4*b - 2, 3*b = -12. Suppose 0 = 2*q - 5*h - 142, 3*q - 8*q + d*h = -355. Is q a prime number?
True
Let v(z) = 5*z**2 - 4*z + 12. Is v(11) a composite number?
True
Let t = 31 - 27. Suppose t*g - 4*m + 4 = 0, 4*g = g + m + 7. Suppose -g*o + 636 = -512. Is o composite?
True
Let c = 9490 - -7559. Is c a prime number?
False
Suppose -3*f - 9 + 0 = 0. Let q = 5 + f. Suppose 3*b = 6, x - 4*b = -q*b + 15. Is x a composite number?
False
Let x(m) = -33*m - 16. Let h be x(-7). Let q = h - -434. Is q a prime number?
False
Is ((-8)/(-2) - 20925)/(1/(-1)) a composite number?
False
Suppose 0 = o - 3*f + 14, -3*o + 4*f - 22 = -0*f. Is (6/9)/(o - (-1904)/951) a prime number?
True
Let n(i) = 25*i**3 - 25*i + 2. Is n(7) a composite number?
True
Suppose -5*n + 32 = -w, 2*w = -5*n + w + 38. Let p(h) = h**3 - 7*h**2 + 4*h + 8. Let k be p(n). Suppose k = z - 26. Is z composite?
True
Suppose 4*r - 2*s - 19840 = -r, 0 = -r + 5*s + 3991. Suppose -r = -2*f - 2*z - 2*z, 4*f - 3*z - 7877 = 0. Is f prime?
True
Is (-24987)/(-9) + 30/45 composite?
False
Suppose -7 + 77 = 5*x. Suppose -2*r + x = 6. Suppose -4*g = -5*y - 7*g + 2468, 3*y = r*g + 1475. Is y prime?
False
Suppose -2*c = -4*c + 12. Let f(p) = p**3 - 6*p**2 - 1. Let u be f(c). Is u/((-1)/344) - -3 a prime number?
True
Suppose 4*i = -12, i + 16282 = 4*p - 9133. Is p a prime number?
True
Let f(t) = 629*t + 54. Let d(k) = 314*k + 25. Let z(n) = -13*d(n) + 6*f(n). Suppose 4*o + 2 = 2*o. Is z(o) a prime number?
True
Suppose 3*a = 3*v + 6, 0*a - a - 5*v = -20. Suppose -p = -a*p. Suppose p = 2*w - 2, 0 = 3*t - 2*w - w - 636. Is t a composite number?
True
Suppose -s = -5*v + 394 + 381, 596 = 4*v + 4*s. Suppose v - 627 = k. Let f = k - -920. Is f prime?
False
Suppose -2*j - 7 = 2*j + 3*u, 3*j - 2 = 5*u. Is (5 - 7)*j/(-2)*-177 prime?
False
Let o(x) = 876*x + 395. Is o(23) a prime number?
True
Let q be 8/(-5) + (-8)/20. Let z = 0 - q. Suppose 2*b - 504 = -z*h, 2*b = 4*h - 0*b - 1014. Is h a composite number?
True
Is (26 - 28)*-15193*3/6 composite?
False
Let n(o) = -o**3 + 2. Let a be n(0). Suppose -a*g + 991 = -135. Is g a prime number?
True
Let g = 313 + -607. Let q = 1065 + g. Is q a composite number?
True
Let w(x) = -3*x**3 - 4*x**2 - 4*x + 6. Let s be w(-7). Is -1*(2 - 1 - (s - -3)) p
|
{
"pile_set_name": "DM Mathematics"
}
|
t j(w) = -w**3 + w**2 + 3*w + 3. Let l(b) = b**2 + 9*b + 6. Let t be l(-8). What are the prime factors of j(t)?
3
Let v be 447/4 + (-4)/(-16). Suppose -5*a + w - 5*w + v = 0, 3*a - 2*w = 76. What are the prime factors of a?
2, 3
Suppose 3*s - 46 - 158 = 0. Suppose -s = -r - r. List the prime factors of r.
2, 17
List the prime factors of ((0 - -1) + -3)/((-6)/9).
3
Suppose -r - 4*r + 395 = 0. List the prime factors of r.
79
Suppose -4*w - 388 = 4*x, 0*x = -3*x - 2*w - 289. Let n(q) = q**2 - 4*q + 3. Let t be n(5). What are the prime factors of x/(-20) - (-2)/t?
5
Let c(k) = k**2 - 3*k - 8. Let v be c(6). Suppose -v = -2*a + 8. What are the prime factors of a?
3
Let f(g) = 8*g - 3. Suppose -4*k = -k - 18. Suppose 0 = -w + k - 3. What are the prime factors of f(w)?
3, 7
Let c be ((-6)/10)/(1/(-5)). Let j be (-2)/(3/162*c). Let o = j - -50. What are the prime factors of o?
2, 7
Let k(c) = -c + 7. Let l(v) = -v - 2. Let f be l(0). Let w be ((-15)/(-6))/(f/4). List the prime factors of k(w).
2, 3
Let y = 16 + 29. Let o = y + -30. List the prime factors of o.
3, 5
Suppose 6 = -5*g + 1, -3*g = 2*t - 549. What are the prime factors of t?
2, 3, 23
List the prime factors of -4 + -16*(4 + -5).
2, 3
Let w be (17/4)/(-1)*-4. Let q = w - 8. What are the prime factors of q?
3
Let i(k) = 6*k + 23. What are the prime factors of i(7)?
5, 13
Let v = -30 - -43. List the prime factors of v.
13
Let v = -32 + 98. List the prime factors of v.
2, 3, 11
What are the prime factors of 1*(-77)/((-1)/1)?
7, 11
Let p(u) = -6*u. Let z be p(-4). What are the prime factors of z/(7 - 4) - -3?
11
Let s = 1 + 9. What are the prime factors of s?
2, 5
Let t = -286 - -490. List the prime factors of t.
2, 3, 17
Let f = 5 - 30. Let p = 57 + f. Suppose 2*s - 4*n - p = 0, 3*s - 6*n = -5*n + 38. List the prime factors of s.
2, 3
Let v(m) = 0*m - 10 + 8 - 2*m. Let c(w) = -3*w - 1. Let g(b) = -5*c(b) + 4*v(b). What are the prime factors of g(2)?
11
Suppose -5*g - 2 = -12. Suppose 0*i = -g*i + 18. List the prime factors of i.
3
Let g(v) = 16*v**2 - v - 1. Let l be g(-1). Suppose -2*y - 6 = -l. Let t = y - 2. What are the prime factors of t?
3
Let q = -4 - 0. List the prime factors of 5 - (2 - (-1 - q)).
2, 3
Let v = 136 - -6. List the prime factors of v.
2, 71
Let b be -1*-1*(8 + -1). Let r(t) = -b + 6 + 8 + t + t**3. What are the prime factors of r(0)?
7
Let j(q) = 16*q + 4. Let d be (-18)/5 + (-14)/35. Let t be j(d). What are the prime factors of t/(-5)*(-1 - -2)?
2, 3
Let c = -40 + 78. List the prime factors of c.
2, 19
Suppose 2*c - 20 = -2*m - 2*m, -3*c = -3*m - 39. What are the prime factors of c?
2, 3
Suppose 2*l + 3*g = 7*l + 21, -l + 2*g = 0. What are the prime factors of ((-28)/(-2))/((-12)/l)?
7
Let p(v) = -2*v + 1. Let q(c) = c**3 - 2*c**2 - 4*c + 2. Let r be q(3). Let w be p(r). Suppose 2 = 4*k - w*k. What are the prime factors of k?
2
Suppose -l + 80 = 3*l. Suppose -2*u + 4*u - l = 0. List the prime factors of u.
2, 5
Let g = -8 + -11. Let a = -12 - g. What are the prime factors of a?
7
Let a(w) = 8*w - 2. Let b be a(3). Suppose -c = -7 - b. Let l = -16 + c. List the prime factors of l.
13
Let r(f) = f**3 + 11*f**2 + 9*f + 1. List the prime factors of r(-10).
11
Let v be (-26)/(-10) + 4/10. Suppose 6*s - v*s = 12. Suppose -s*j + 16 = -12. List the prime factors of j.
7
Let v = -3 - -8. Let l be ((-48)/40)/((-2)/v). List the prime factors of l - 1 - (5 + -5).
2
Let j(m) = m**3 - 7*m**2 - 7*m - 11. Let c be j(8). Suppose 0 = 2*l - l - 2. Let f = l - c. List the prime factors of f.
5
Suppose -2*z - 4*j = -3*z - 10, -10 = 3*z - 2*j. Let n = z - -5. Suppose 3*d - 42 = 3*a, 0 = 4*d - n*a - 24 - 31. List the prime factors of d.
13
Suppose -a + 4 = -0*a. Suppose 3*z + 31 = x, x + a*z - z - 13 = 0. Let i = -12 + x. What are the prime factors of i?
2, 5
Let j(y) = y**2 - y - 2. Suppose -4*o + 9*o - 30 = 0. List the prime factors of j(o).
2, 7
Let d = -23 - -44. List the prime factors of d.
3, 7
Let g be 22/12 + (-1)/(-6). Suppose g*x - 12 = 6. Let w = 3 + x. What are the prime factors of w?
2, 3
Let x(f) = f**3 + 9*f**2 + 5*f - 6. List the prime factors of x(-7).
3, 19
Suppose 5*m + 0*m = 120. What are the prime factors of m?
2, 3
Let h be (12/(-15))/(2/(-5)). Suppose -2*a = -h*w + a - 4, w - 12 = -2*a. What are the prime factors of w?
2
Let n(t) = 2*t**3 + 6*t**2 - 2*t + 7. Let p(s) = 3*s**3 + 7*s**2 - 3*s + 8. Let z(j) = -4*n(j) + 3*p(j). What are the prime factors of z(4)?
2
Let s(q) = q. Let f be s(-3). List the prime factors of f/12 - 21/(-4).
5
What are the prime factors of (-3)/(-4) + 3531/44?
3
Suppose 3*d + 3*h = 2*d, 0 = 4*d - h - 65. Let x = d + -25. List the prime factors of 8/x*45/(-6).
2, 3
Let h(s) = s**3 - 8*s**2 + 7*s. Let r be h(7). Suppose 6*b - 3*b + 2*g = 29, -g + 4 = r. What are the prime factors of b?
7
Let k be 0 - -4*(-1)/(-2). Suppose 6 = -5*t + 3*g, -k*t + 4*t + 2 = g. Suppose 8 = -2*f - 0, t = 2*i + 3*f - 6. List the prime factors of i.
3
Let o(x) = -x**3 - x**2 + 4*x - 1. Let v be o(-3). Suppose -4*q = -5*q - 4*u + 22, 2*q + v*u = 38. What are the prime factors of q?
2, 7
Let c(q) = -q + 27. Let p(g) = g**3 + 2*g**2 - g - 2. Let i be p(-2). List the prime factors of c(i).
3
Suppose -4*w + 5*c = -0 - 2, 0 = -3*w + 2*c + 5. Suppose 4*y = w*y + 40. List the prime factors of y.
2, 5
Let z(p) = 5*p - 1. Let a be z(2). List the prime factors of (a/(-4))/(2/(-8)).
3
Suppose 9*u = 6*u + 111. List the prime factors of u.
37
Let d = -125 + 157. What are the prime factors of d?
2
What are the prime factors of 25/2*(10 - 8)?
5
Suppose -6 = -4*z + 10. Suppose z*o = 2*s + 2 - 4, -20 = -4*s + 4*o. What are the prime factors of s?
3
Let i(p) be the second derivative of 7*p**6/120 + p**5/30 - p**3/6 - p**2 - p. Let a(x) be the first derivative of i(x). List the prime factors of a(1).
2
Suppose 3*d = 4*d. Suppose -x + k = -16, -51 = -3*x - d*x + 2*k. What are the prime factors of x?
19
Let l = 17 - 9. Let c = l - 5. Suppose 3*d = c*t + 27, 0*d = 4*d - 2*t - 26. List the prime factors of d.
2
Let n(i) = -2*i**3 + i**2 + 2*i. Let c be n(2). Let j = 7 - 11. What are the prime factors of (c/(-6))/(j/(-6))?
2
Let k(n) = -n - 5. Let y(o) = -o + 9. Let s be y(7). Suppose s*d = d - 8. What are the prime factors of k(d)?
3
Suppose 0 = -3*p + 11 + 4. Suppose p*m + 0*m = 195. List the prime factors of m.
3, 13
Let g(p) = 8*p + 4. Let a be g(-5). List the prime factors of 1/6 - 678/a.
19
Let z be (-1)/(2*2/(-12)). Let m be -2 - (0 - (-1 + z)). Suppose 2*i - 26 = 3*r, 4*i + r + 0*r - 38 = m. List the prime factors of i.
2, 5
Suppose 0 = -2*w - 3*w + 230. List the prime factors of w.
2, 23
Let x be (-6)/(-6)*1*2. Suppose c + x - 22 = 0. What are the prime factors of c?
2, 5
Suppose 3*p + s + 39 = 0, -3*p = 2*s + 57 - 15. Let o be (p/10)/(5/(-50)). Let n = o + -8. List the prime factors of n.
2
Let k(w) = -w**2 + 2 - 2 + 5*w. Let n be k(4). List the prime factors of (-6)/(-4)*n/3.
2
Let f be (0/(-1))/(5 - 3). Suppose f = -14*x + 16*x - 16. What are the prime factors of x?
2
Let p be (2 - 3) + (-150)/(-2). Suppose -2*r = -r - p. List the prime factors of 4/(-14) + r/14.
5
Let t(d) be the first derivative of d**4/4 + 2*d**3 - d**2/2 + 6*d + 1. What are the prime factors of t(-6)?
2, 3
Suppose 4*l = 3*y + 3, 3*l = l - y - 1. Let c be (l/(3 + -1))/2. Suppose 3*i - 18 = -c*i. List the prime factors of i.
2, 3
Suppose 4*a + 588 = 4*j, 126 = 2*j + a - 165. Suppose 4*r - j = -18. Suppose 4*c = r + 8. List the prime factors of c.
2, 5
Let n(q) = -q**2 - 17*q - 24. List the prime factors of n(-14).
2, 3
Let f be ((-2)/2)/((-1)/5). Suppose 2*z - 23 - f = 0. What are the prime factors of z?
2, 7
Suppose -59 - 61 = -5*n. What are the prime factors of n?
2, 3
Let w(y) = y**3 + 13*y**2 - 4*y - 9. List the prime factors of w(-12).
3, 61
Let i be 2/7 + 108/14. Let d(x) = -x**3 + 9*x**2 - 8*x + 6. List the prime factors of d(i).
2, 3
Let q = 117 + -52. What are the prime factors of q?
5, 13
Let w(a) = a + 10. Let m be w(-7). Suppose -5*t - m*o = -61, 2*t - 2*o = -t + 48. What are the prime factors of t?
2, 7
Suppose -4*v + 2*v = -20. Let w = v - 2. What are the prime factors of w?
2
Let o(m) = -m - 4. Let r be o(-9). Suppose 52 - 7 = 5*p + 4*x, p + r = 2*x. List the prime factors of p.
5
Suppose -7*d = -
|
{
"pile_set_name": "DM Mathematics"
}
|
sands digit of 75098329?
8
What is the hundred thousands digit of 1725442398?
4
What is the ten thousands digit of 54946398?
4
What is the tens digit of 187946083?
8
What is the hundred thousands digit of 148660252?
6
What is the ten millions digit of 480563234?
8
What is the hundred millions digit of 6025119866?
0
What is the tens digit of 432653433?
3
What is the ten millions digit of 119105489?
1
What is the units digit of 246068319?
9
What is the thousands digit of 11298646?
8
What is the billions digit of 3043462994?
3
What is the millions digit of 38102794?
8
What is the units digit of 47186084?
4
What is the ten millions digit of 224776703?
2
What is the hundreds digit of 2415238867?
8
What is the tens digit of 20965558?
5
What is the hundred thousands digit of 2720868335?
8
What is the ten millions digit of 99646037?
9
What is the tens digit of 13329657?
5
What is the millions digit of 265856311?
5
What is the hundreds digit of 92378100?
1
What is the billions digit of 1291294727?
1
What is the thousands digit of 37759703?
9
What is the ten millions digit of 339430252?
3
What is the millions digit of 124998864?
4
What is the hundred thousands digit of 2441980153?
9
What is the hundred thousands digit of 126209677?
2
What is the billions digit of 1625698789?
1
What is the hundred thousands digit of 2108891117?
8
What is the tens digit of 1586837690?
9
What is the ten millions digit of 35468465?
3
What is the units digit of 209087359?
9
What is the units digit of 44692130?
0
What is the ten millions digit of 12251691?
1
What is the ten thousands digit of 4767889601?
8
What is the hundred thousands digit of 910072394?
0
What is the billions digit of 1363383292?
1
What is the millions digit of 6517149477?
7
What is the thousands digit of 281985712?
5
What is the units digit of 15545993?
3
What is the ten millions digit of 52173641?
5
What is the ten thousands digit of 4398799547?
9
What is the ten millions digit of 572126888?
7
What is the units digit of 231289540?
0
What is the ten millions digit of 928946048?
2
What is the hundreds digit of 1570030731?
7
What is the millions digit of 166453046?
6
What is the millions digit of 452185510?
2
What is the millions digit of 3397809083?
7
What is the millions digit of 440882834?
0
What is the hundreds digit of 123188350?
3
What is the units digit of 125187405?
5
What is the hundred thousands digit of 140699001?
6
What is the ten millions digit of 17578795?
1
What is the hundred millions digit of 666034478?
6
What is the millions digit of 422475255?
2
What is the hundreds digit of 21114523?
5
What is the ten thousands digit of 5735314486?
1
What is the ten thousands digit of 654420741?
2
What is the thousands digit of 37750123?
0
What is the ten millions digit of 70044578?
7
What is the hundred millions digit of 404055346?
4
What is the tens digit of 7425564769?
6
What is the units digit of 4295691?
1
What is the ten thousands digit of 1123989626?
8
What is the millions digit of 22389773?
2
What is the thousands digit of 2528496090?
6
What is the thousands digit of 18034136?
4
What is the millions digit of 485101817?
5
What is the units digit of 224201160?
0
What is the hundred thousands digit of 14427380?
4
What is the hundred thousands digit of 415959658?
9
What is the tens digit of 2599322636?
3
What is the units digit of 2193228756?
6
What is the tens digit of 173835530?
3
What is the hundred thousands digit of 327700103?
7
What is the millions digit of 44404581?
4
What is the thousands digit of 301897586?
7
What is the ten millions digit of 1517612221?
1
What is the thousands digit of 54315399?
5
What is the ten thousands digit of 31013742?
1
What is the tens digit of 9144045?
4
What is the hundreds digit of 803178248?
2
What is the hundreds digit of 6298714468?
4
What is the tens digit of 43289716?
1
What is the tens digit of 81762260?
6
What is the hundred millions digit of 387628401?
3
What is the thousands digit of 458078964?
8
What is the hundred thousands digit of 1757277134?
2
What is the ten millions digit of 6002085014?
0
What is the tens digit of 684896533?
3
What is the ten millions digit of 479463995?
7
What is the ten millions digit of 594169822?
9
What is the hundred thousands digit of 126555549?
5
What is the hundred thousands digit of 18763140?
7
What is the units digit of 28436259?
9
What is the hundred thousands digit of 52350287?
3
What is the ten thousands digit of 1261698870?
9
What is the hundred millions digit of 1491709835?
4
What is the units digit of 92532134?
4
What is the hundreds digit of 34093416?
4
What is the units digit of 489445935?
5
What is the ten thousands digit of 306901166?
0
What is the units digit of 2624235559?
9
What is the billions digit of 2249946558?
2
What is the tens digit of 170819354?
5
What is the millions digit of 96741970?
6
What is the hundred thousands digit of 465870395?
8
What is the units digit of 4213213446?
6
What is the hundreds digit of 81014118?
1
What is the ten thousands digit of 451138889?
3
What is the ten millions digit of 2172911294?
7
What is the millions digit of 81197684?
1
What is the units digit of 3734085026?
6
What is the millions digit of 295832015?
5
What is the hundred thousands digit of 1072086290?
0
What is the millions digit of 15681510?
5
What is the tens digit of 32168071?
7
What is the millions digit of 205122671?
5
What is the ten millions digit of 4651640386?
5
What is the ten millions digit of 113392807?
1
What is the millions digit of 3813131?
3
What is the thousands digit of 208625893?
5
What is the hundred thousands digit of 1447204455?
2
What is the ten millions digit of 85542069?
8
What is the hundreds digit of 9865748?
7
What is the millions digit of 13749890?
3
What is the hundreds digit of 53821399?
3
What is the millions digit of 1482676222?
2
What is the thousands digit of 123653013?
3
What is the hundred millions digit of 238690008?
2
What is the units digit of 37438827?
7
What is the units digit of 71738972?
2
What is the thousands digit of 30612512?
2
What is the ten thousands digit of 149048462?
4
What is the units digit of 64253528?
8
What is the ten millions digit of 144901522?
4
What is the ten millions digit of 19607544?
1
What is the millions digit of 51588390?
1
What is the hundreds digit of 1430919613?
6
What is the hundred thousands digit of 34778680?
7
What is the thousands digit of 30488113?
8
What is the units digit of 790404345?
5
What is the hundred thousands digit of 31827388?
8
What is the hundred millions digit of 4256187890?
2
What is the hundreds digit of 3675006?
0
What is the tens digit of 6022071056?
5
What is the hundreds digit of 900621663?
6
What is the hundred millions digit of 677292381?
6
What is the ten millions digit of 12498134?
1
What is the hundred thousands digit of 618878890?
8
What is the millions digit of 18011127?
8
What is the hundreds digit of 676964629?
6
What is the thousands digit of 810183250?
3
What is the hundred thousands digit of 144842541?
8
What is the tens digit of 86157523?
2
What is the tens digit of 2133743058?
5
What is the millions digit of 569748856?
9
What is the ten thousands digit of 1580128601?
2
What is the tens digit of 369687759?
5
What is the hundred millions digit of 2402690060?
4
What is the hundreds digit of 460908190?
1
What is the hundreds digit of 352589256?
2
What is the units digit of 787069063?
3
What is the hundreds digit of 4229801676?
6
What is the hundred thousands digit of 15669525?
6
What is the hundreds digit of 132862241?
2
What is the hundred millions digit of 3699104860?
6
What is the ten thousands digit of 151890346?
9
What is the hundred millions digit of 4307690183?
3
What is the ten millions digit of 100263426?
0
What is the tens digit of 78943635?
3
What is the millions digit of 856818929?
6
What is the tens digit of 42570442?
4
What is the thousands digit of 4156679303?
9
What is the ten thousands digit of 4188316?
8
What is the hundred thousands digit of 195168100?
1
What is the millions digit of 650725779?
0
What is the thousands digit of 7040545068?
5
What is the ten millions digit of 3234386760?
3
What is the ten thousands digit of 397754635?
5
What is the units digit of 38350363?
3
What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
der.
l, p, -2
Let p = 1.47 + -0.39. Let h = 0.08 - p. Put 5, 2/17, h in ascending order.
h, 2/17, 5
Let m be 21 - (1 + -3 + 1). Put 4, 0, m in descending order.
m, 4, 0
Let h = 1408553/8628 - 8/2157. Let n = 164 - h. Let f = 8 - 8. Sort f, n, -0.2 in descending order.
n, f, -0.2
Let s = 0.8 + 0.1. Let i = s - 0.5. Sort 1, i, 2/3 in descending order.
1, 2/3, i
Let b = -4.02 - -1.02. Put 0.4, 0.1, b in decreasing order.
0.4, 0.1, b
Let b = -3 - -8. Suppose -11 = 3*n + 1. Put -2, b, n in increasing order.
n, -2, b
Let t(j) = j - 1. Let b be t(1). Let v(a) = -a**2 - 4*a - 3. Let p be v(-4). Let g = 13 + -12. Sort p, b, g.
p, b, g
Suppose 0*p = 2*p - 5*w - 12, -p - 4*w = 7. Let g = 49 + -49. Sort g, p, 0.1 in increasing order.
g, 0.1, p
Suppose 0 = -x + 3*x + 2. Suppose -26*a = -25*a + 3. Sort x, 2, a in descending order.
2, x, a
Let w = 3.8 - 1.8. Let f = -0.3 + -0.2. Sort -0.4, f, w in descending order.
w, -0.4, f
Suppose -14*p = 9*p + 46. Sort 4, p, -21 in decreasing order.
4, p, -21
Suppose 2*t - 30 = -4*t. Put 8, -4, t in increasing order.
-4, t, 8
Let o(d) = -2*d**2 + 24*d + 24. Let g be o(13). Put -1, -3, g in descending order.
-1, g, -3
Let y = -0.42 + 0.22. Put -2, y, -4 in ascending order.
-4, -2, y
Let p = 5 - 5.4. Let m = 4.6 - p. Let o = -46 - -49. Sort o, 1, m in descending order.
m, o, 1
Let c = -0.5 - -0.3. Let p = 57.5 + -58. Sort c, p, 2/7.
p, c, 2/7
Let h(s) = s**3 + 2*s**2 - 4*s. Let u be h(-3). Suppose 2*b - 16 = -g - 2*g, 3*b - 2 = g. Sort g, u, 0 in decreasing order.
g, u, 0
Suppose -7 = 2*v - 3*c, -4 = 3*c + c. Suppose 2*q - 11 + 1 = 0. Suppose h + q*a = 2*h - 7, a = -4*h - 14. Put v, -1, h in ascending order.
v, h, -1
Let c = 13.4 + -22. Let r = c - -8. Let u = -1.6 - r. Put u, -2, 4 in increasing order.
-2, u, 4
Let t = -7 + 1. Let d be (-6)/15 - t/(-10). Suppose 2*a + 14 = -5*a. Sort -4, a, d.
-4, a, d
Suppose -3*m - 12 = -5*y, -y - m + 0 + 4 = 0. Put 2, -15, y in increasing order.
-15, 2, y
Let q be 2/(-6)*54/6. Sort 2, 0, q.
q, 0, 2
Suppose -4*z - 3*q - 31 = 2*q, -2*z - 4*q = 20. Let c = 8 - 5. Suppose -5*r + 23 - c = 0. Put -3, z, r in descending order.
r, -3, z
Suppose -5*w + 1 = -19. Suppose 6 = -5*i - w. Put i, 0, -2/21 in increasing order.
i, -2/21, 0
Let s(k) = -k - 3. Let f be s(-8). Suppose 4*n = -8 - 12. Sort f, n, 0 in descending order.
f, 0, n
Let x = -154430873/450 + 343180. Let q = -3/50 + x. Put -0.4, q, 0.2 in decreasing order.
q, 0.2, -0.4
Let s be ((-38)/(-4))/((-1)/(-2)). Suppose -5*d = -6 - s. Let r = -0.195 + 0.395. Put r, d, -1 in descending order.
d, r, -1
Suppose -32 = 3*l + l. Let z(k) = k**2 + 8*k - 5. Let g be z(l). Let d = -9 - g. Sort 1/4, 0.1, d in descending order.
1/4, 0.1, d
Let y(q) = -2 - q + 1 + 0. Let n be y(-1). Suppose 53*k - 51*k - 8 = 0. Sort 3, n, k.
n, 3, k
Suppose 2*h + 2*r + 4 = -2, 0 = -4*h - 3*r - 8. Put 2/5, 2/39, h in increasing order.
2/39, 2/5, h
Suppose 0 = -q + 2*b - b - 4, 10 = 2*b. Let n be (-3)/(-6)*4 + -7. Let i = n + 3. Sort i, q, -1.
i, -1, q
Suppose x + 6 = -0*o - 2*o, o - 4*x + 21 = 0. Let y be (2/(-13) - 150/(-130))*1. Sort 0.2, y, o in decreasing order.
y, 0.2, o
Let w(y) = -y**3 - 5*y**2 + 12*y - 15. Let z be w(-7). Let j = -15 - -10. Let l = 1 - 1.2. Sort z, j, l.
j, z, l
Let x be (0/2)/(-1 - -2). Suppose i + i = x. Suppose 3*d - 2 - 1 = i. Put -5, 3, d in increasing order.
-5, d, 3
Let n(i) = -i**3 + i**2 - 3. Let c be n(0). Let k = 257 - 258. Put k, c, 4 in ascending order.
c, k, 4
Let n be -7*(-2)/(-4)*-2. Let m(w) = w**3 - 7*w**2 + 2*w - 9. Let o be m(n). Sort o, -1, 3 in decreasing order.
o, 3, -1
Let n be ((-4)/5)/(2/(-5)). Let v be ((-4)/5 + 0)*50/60. Sort n, -4, v in decreasing order.
n, v, -4
Suppose 5*k - 10 = 5*m, -2*m - 2 = -4*k + 6. Suppose -4*x - 8 = -2*x. Suppose 2*s - 14 = -4. Put s, x, m in increasing order.
x, m, s
Suppose p = 1 - 2, -29 = -5*z + 4*p. Let t(a) = -a**2 + 9*a - 15. Let n be t(6). Sort -2, n, z in decreasing order.
z, n, -2
Let f be (-105)/(-14) - (-3)/(-6). Sort -6, 2, f in descending order.
f, 2, -6
Suppose 9 = 5*u - 8*k + 4*k, 5*u - 2*k = 7. Let f be u/10 + 1/(-2). Let q = 3.1 + -3. Sort f, 0.3, q.
f, q, 0.3
Let p = -4 + 1. Sort 0.1, 5/3, p.
p, 0.1, 5/3
Let y = 17 - 12. Let c be 2/(y/(75/(-6))). Put 5, 3, c in descending order.
5, 3, c
Suppose 0*r + 2*j - 16 = -5*r, j = -5*r + 13. Sort -4, -9, -1, r.
-9, -4, -1, r
Suppose -12*w + 27 + 45 = 0. Suppose f = 5*f. Sort f, w, -3.
-3, f, w
Let a(y) = -2*y**2 + 9*y - 5. Let q be a(3). Put -3, q, -5 in ascending order.
-5, -3, q
Let r = -0.14 - 1.86. Let x = -6 - r. Sort 1, x, -3.
x, -3, 1
Suppose 0*i = -2*i - 10. Let a be 5 - -3*20/(-12). Sort i, a, -4 in decreasing order.
a, -4, i
Suppose -9 = -d + 16. Suppose 7 - d = -6*w. Sort -5, -4, w.
-5, -4, w
Suppose 0 = -3*t + 5*t - 14. Put 0, t, 4, -3 in ascending order.
-3, 0, 4, t
Let w be (0/(2 + -4))/(-1). Suppose 2*l - 10 = -0*l. Suppose 4*t + l = -t. Put t, w, -4 in decreasing order.
w, t, -4
Let h = -1.03 - -0.03. Let p = 273/20 + -53/4. Put 0, p, h in descending order.
p, 0, h
Let o be (-12)/9*3/2. Suppose -5*u = 2 + 23. Let a = 2 + -5. Sort u, a, o in increasing order.
u, a, o
Let x = 65 + -68. Sort x, 2, 1/3 in decreasing order.
2, 1/3, x
Let d = -0.001 - -4.001. Sort 11, d, -2/5.
-2/5, d, 11
Let w be -1 + (3 - -1)*-1. Sort -2/7, w, -2/11.
w, -2/7, -2/11
Let b = -0.3 + 1.3. Let x = -0.6 - 3.4. Let r = -4 - x. Put r, b, 1/4 in decreasing order.
b, 1/4, r
Let h(z) = z**2 + 6*z - 15. Let g be h(-8). Let d(j) = -j**2 + 3*j + 5. Let u be d(-5). Let p be 2*g - u/(-20). Sort -1/2, p, -2/11 in increasing order.
-1/2, -2/11, p
Let w be ((-5)/(-50))/((-4)/(-5)). Put 0.1, w, -1/3 in decreasing order.
w, 0.1, -1/3
Let q = -0.6 - -0.35. Let y = -0.05 + q. Sort 2, y, -2 in decreasing order.
2, y, -2
Let u = -48 - -334/7. Let i be (-1)/4 + (-22)/(-56). Put i, u, -0.04 in descending order.
i, -0.04, u
Let o = -37 + 37. Put -3, o, -5, 1 in increasing order.
-5, -3, o, 1
Suppose 0*f = -5*x + f + 16, -x - 4*f = 1. Let q = -206 + 207. Put q, -1, x in increasing order.
-1, q, x
Suppose 29 = 5*i - u, -7*u + 2*u - 30 = -2*i. Let m = i - 10. Put 5, m, 3 in decreasing order.
5, 3, m
Let j = 7 - 15. Let v = j + 7.8. Suppose 2*x - 2 = 4. Put v, 0.2, x in descending order.
x, 0.2, v
Let b(i) = -2*i**2 - 5*i**2 + 0*i**2 + 2 - i**3. Let a be b(-7). Suppose 0*z - 1 = -2*z + x, -z = 2*x + a. Sort -5, z, 5.
-5, z, 5
Let k be (-1 + 2)/(1/2). Suppose -4*h - m = -k - 14, 5*m + 16 = 4*h. Let t = h + -7. Sort 3, 2, t in increasing order.
t, 2, 3
Suppose 2*z + 4 = 3*z. Sort z, -5, 3 in increasing order.
-5, 3, z
Let r = -13/51 + 3/34. Put r, 4/59, 1 in ascending order.
r, 4/59, 1
Let j = 6 + -3. Sort j, 7, 2 in descending order.
7, j, 2
Suppose 0 = -q + 2*q. Put q, -1, 1 in descending order.
1, q, -1
Let u be 5/(1 - (-1 + 3)). Let f = -21 + 11. Let v = f + 14. Sort v, -2, u in increasing order.
u, -2, v
Let l be 23/5 - 51/85. Sort -3, 6, l in descending order.
6, l, -3
Let x be (-77)/210*-5 + (-2)/(-12). Put -13, x, -4 in descending order.
x, -4, -13
Let j be 28/(-7)*(-3)/(-4). Let a(y) = y**2 + 5*y + 2. Let o be a(-6). Let q be (-2)/o + (-14)/8. Put 2, q, j in descending order.
2, q, j
Let d(s) be the second derivative of -s**3/6 + s**2/2 + 7*s. Let f be d(-2). Put 1, 2, f in increasing order.
1, 2, f
Let x be (-38)/8 + (21/12)/(-7). Put 5, x, 1 in decreasing order.
5, 1, x
Suppose g = 2*g + 5. Put -7, -2, g in decreasing order.
-2, g, -7
Let c = 1 + -3. Let n = 1.3 + -7.3. Let y = -6.5 - n. Sort 1/3, y, c in decreasing order.
1/3, y, c
Let o = -0.4 - -0.1. Let l = -36.1 + 36. Sort o, l, 5 in descending order.
5, l, o
Let y be ((-1)/(-2))/((-2)/(-12)). Suppose 0 = -2*a - y*a + 35. Let v(w) = w - 9. Let j be v(a). Sort 3, -5, j.
-5, j, 3
Let x = 10.2 - 14.2. Sort -2/11, x, 0.09, 0.1 in descending order.
0.1, 0.09, -2/11, x
Suppose -7 = 4*h + h + 2*z, -5*h - z = 6. Sort -5, h, 4/5 in ascending order.
-5, h, 4/5
Let g be -1 + (-5)/((-20)/(-8))*1. Put 0.7, 0, -3/8, g in descending order.
0.7, 0, -3/8, g
Let v(z) = z + 5. Let m be v(-5). Put m, -5, 2 in increasing order.
-5, m, 2
Suppose -2*o = 2*o + 20, 16 = -2*d - 4*o. Let w = 5 - 11. Let c = w - -3. Sort d, c, 0.4 in increasing order.
c, 0.4, d
Let n = -2 - -7. Let o(b) = -b**3 + b**2. Let g be o(1). Let f = n +
|
{
"pile_set_name": "DM Mathematics"
}
|
y = -74. Suppose -5*w - s = -272. Is w a multiple of 47?
True
Let r be (-68 - 0)/((84/54)/7). Is 12 a factor of 128/24*r/(-8)?
True
Suppose -664 - 1616 = -5*q. Is q a multiple of 57?
True
Suppose -5 = 8*k - 9*k. Suppose 0*j - 5*b = -2*j + 107, -97 = -2*j - k*b. Is 14 a factor of j?
False
Let b(z) = z**3 - 7*z**2 + 6*z - 5. Let u be b(6). Let x(i) = -i**3 + 4*i**2 + 8*i + 8. Is x(u) a multiple of 20?
False
Let h = 92 - -48. Suppose 7*i = 5*i + h. Suppose -2*a + i = -5*u, a - 3*u - 48 = -11. Is 7 a factor of a?
False
Let g be -3 + 3/12*0. Let h = -8 - g. Let m = 4 - h. Does 9 divide m?
True
Let d = -38 - -40. Suppose d*f + 5*q = 30, 6*q = 2*q - 16. Does 4 divide f?
False
Suppose -l + 5*l = -m - 77, 3*l = 3*m - 69. Let s be (-216)/(-10) - 8/l. Is 252/5 + s/(-55) a multiple of 25?
True
Let p(u) = u. Let a(y) = -8*y + 4. Let k(s) = 2*a(s) + 22*p(s). Is k(6) a multiple of 17?
False
Is 794 + -1 + 9 + -2 a multiple of 50?
True
Let i = 30 + -15. Let p = i - 11. Suppose 5*d + 5*w - 42 = 2*d, 2*w = -p*d + 56. Is 3 a factor of d?
False
Suppose -8*g + 1568 = -3080. Is g a multiple of 10?
False
Suppose -4*a = -53 - 139. Is a a multiple of 5?
False
Let f(v) = -v**2 + v + 1. Let u(g) = 10*g**3 + 5*g**2 - 2*g - 3. Let h(d) = -3*f(d) - u(d). Does 9 divide h(-1)?
True
Let g = -264 - -363. Is 2 a factor of g?
False
Suppose 2*j - 324 = -3*h - j, 0 = 5*h - 4*j - 495. Let s = h - 54. Does 19 divide s?
False
Let m(z) = z**2 - 5*z + 4. Let k be m(6). Let c(x) = 4*x + 2. Is 8 a factor of c(k)?
False
Suppose 35 = 5*g + 85. Suppose -2*n + 6*r + 65 = r, -4*n = -3*r - 165. Let j = n + g. Is 9 a factor of j?
False
Let c(d) = d**2 - 18*d + 10. Let a(j) = j**2 - 19*j + 11. Let w(f) = 5*a(f) - 6*c(f). Let z be (-1 - -3) + 2 - 6 - -13. Is w(z) a multiple of 17?
True
Suppose -4*i + c = -209, -3*i + 5*c + 229 = i. Suppose 6*a = 3*a - i. Is 12 a factor of (2/6)/(a/(-1632))?
False
Let x be (2 - 5)/(9/(-6)). Suppose -3*j - x*q + 3*q = -43, 4*j - 5*q = 72. Does 13 divide j?
True
Let b be (2 + 1)*2 + -2. Suppose 99 = 4*u - 3*j, -b*u + 92 = -5*j - 9. Is u a multiple of 4?
True
Let z(j) = j + 12. Let h be z(-9). Does 45 divide (-2)/h*3 - -85?
False
Let u(a) be the first derivative of a**4/4 - 2*a**3 - 9*a**2/2 + 13*a + 7. Is 35 a factor of u(9)?
True
Let i = 3185 + -3097. Is 11 a factor of i?
True
Let g = -413 + 661. Does 8 divide g?
True
Let q be -4 - (-4 + (2 - -2)). Does 7 divide (q/28)/((-3)/21) + 32?
False
Let g = -722 + 513. Let q = -136 - g. Is 8 a factor of q?
False
Let j(w) = w**2 - 12*w + 33. Does 3 divide j(15)?
True
Let i = -11 - -8. Let g be (-12)/20 - i/5. Is 1 + 17 - (2 - g) a multiple of 6?
False
Suppose -i = -2*i + 4, 2*l - 44 = -5*i. Is 14 a factor of (-12)/(-4) + -1 + l?
True
Let n(t) = 6*t**3 + 9*t**2 - 4*t - 13. Let i(s) = 5*s**3 + 9*s**2 - 5*s - 13. Let g(a) = 5*i(a) - 4*n(a). Let j be g(-9). Is j/7 + (-14)/(-49) a multiple of 4?
False
Suppose -2*m = -y + 2356, -8*y = -4*y + 2*m - 9404. Is 14 a factor of y?
True
Let v = 20 - 14. Does 15 divide 21 - (-2 + (v - 3))?
False
Let m(p) = 3*p**2 + 45*p + 24. Is m(-23) a multiple of 18?
True
Suppose -6*i = -21*i + 270. Is 6 a factor of i?
True
Suppose -37*h + 161704 = -8*h. Is h a multiple of 34?
True
Suppose 0 = 4*m - 5*m + 119. Suppose 0 = 5*i + 1 + m. Is 7 + -10 + i/(-2) a multiple of 9?
True
Suppose -4*u - 2096 = -5*n, 2*n + 11*u = 6*u + 845. Is n a multiple of 20?
True
Suppose 4*b + 5*w - 209 = 0, 4*b = -2*w - 2*w + 208. Let i be 2*4/(-8) - -25. Let r = i + b. Does 25 divide r?
True
Suppose -2*y - 2*y - j - 21 = 0, -5*j + 9 = y. Is (y - 136/(-20)) + (-992)/(-10) a multiple of 21?
False
Let n = -496 + 2077. Is 31 a factor of n?
True
Does 7 divide 244/((2/(-4))/(10/(-20)))?
False
Let r(b) = b**3 + 28*b**2 + 54*b + 19. Is 21 a factor of r(-25)?
False
Let h be 233 - (4 - 1)/(-3). Suppose 3*k = -0*k + h. Suppose 28 = -3*g + 4*g + 3*t, -5*t = -2*g + k. Is g a multiple of 34?
True
Let a = -2140 + 2390. Is a a multiple of 17?
False
Suppose 4*f + 11 - 7 = 0. Let j = 65 - f. Is 22 a factor of j?
True
Let a(r) = r**3 + 9*r**2 + 6*r - 12. Let x be a(-8). Let t = -7 - -12. Suppose x*u = -u + 2*q + 158, -5*u - t*q = -165. Does 8 divide u?
True
Suppose o - 7 = -5*i + 2*o, o - 7 = -2*i. Let c be 8/(-2) + (-15 - -19). Suppose c*d = -i*d + 54. Is d a multiple of 9?
True
Suppose 0 + 8 = 4*r. Is r*2/(-2) + 45 a multiple of 7?
False
Let b(f) = 2*f - 1. Let m be b(2). Suppose 0 = -2*g - 8, -m*a + 2*g - 16 = -4*a. Is 4 a factor of a?
True
Suppose q + b - 28 = 7, 4*q - 2*b = 134. Suppose 0 = -2*w + 170 + q. Does 17 divide w?
True
Suppose 4030 = -102*u + 133*u. Is 26 a factor of u?
True
Suppose 4*u - 3 = 2*f - 11, f - 2 = 0. Does 53 divide u + (-220)/(-2) + (2 - 5)?
True
Let q = -46 - -54. Suppose t + 4*d = 79, t - d = q + 51. Does 9 divide t?
True
Suppose -2*z + 3*g = -360, -43*z = -42*z - 4*g - 175. Does 108 divide z?
False
Let p(y) = -y - 5. Let u be p(-10). Suppose u*s + 4*l = l - 423, 421 = -5*s - l. Is (-2 - s)*(-5)/(-10) a multiple of 10?
False
Let r(h) = -h**3 + 14*h**2 + 7*h - 76. Is 13 a factor of r(11)?
True
Suppose 7*c - 22 = 4*c - 4*a, 2*c = 3*a - 8. Is 11 a factor of (3 - 1) + (33 - c)?
True
Let l(n) be the third derivative of -3*n**6/8 - n**5/20 - n**4/8 - n**3/6 + 13*n**2. Does 9 divide l(-1)?
False
Suppose 0 = -2*a + 1 - 9. Let b(s) = -s**3 - 5*s**2 - 5*s - 1. Let g be b(a). Suppose 0 = g*r - p - 58 + 7, 77 = 5*r + p. Does 3 divide r?
False
Let y(h) = -h**3 - 4*h**2 + 4*h - 5. Let d(i) = -3*i**3 - 11*i**2 + 12*i - 15. Let b(a) = -2*d(a) + 7*y(a). Suppose -6*c - 2 = 40. Is 4 a factor of b(c)?
True
Let j be 2/(1/(-1 - -3)). Suppose 0*s = j*s + y - 24, 0 = s - 3*y - 6. Suppose -4*w - 56 = -s*w. Does 14 divide w?
True
Suppose 4*z + 3*o = 70, 0 = z + o + 3 - 20. Is 2 a factor of z?
False
Let p be (-3)/1 - (-1 - 12). Suppose 168 + 132 = p*o. Is 15 a factor of o?
True
Let b = -2 - -8. Let r(g) = -g**3 + 6*g**2 + g - 2. Is 4 a factor of r(b)?
True
Suppose -5*o + 3*o - 5*r - 16 = 0, -5*o + r = -14. Suppose -o*f = -2*m + 38, 5*f + 111 = 4*m - 3*m. Let g = 35 + f. Does 7 divide g?
False
Does 13 divide 1324 + (-1 + 3)*(-60)/24?
False
Let p be 336*(5 + 26/(-6)). Let k = p + -120. Is k a multiple of 26?
True
Suppose z + 6*z - 910 = 0. Is 4 a factor of z?
False
Suppose -5*j - 2*u = 1 - 4, 5*j + 13 = 2*u. Let p be ((-14)/35)/(j/70). Let d = p + -10. Is d a multiple of 3?
True
Suppose -7 + 3 = -2*y. Suppose y*n - 163 = 29. Is 12 a factor of n?
True
Let z be (-21)/28 + (-67)/(-4). Let v = 22 - -2. Let j = v + z. Does 20 divide j?
True
Let s(m) = -3*m**3 - 18*m**2 + 8*m + 22. Is 7 a factor of s(-7)?
False
Let m = -2 + 22. Is (m/8)/((-1)/(-26)) a multiple of 13?
True
Suppose p = 3*h - 0*p - 15, -3*p + 9 = 0. Suppose q = 3*q - h. Does 8 divide q/(6/(-16))*-2?
True
Let b(q) be the first derivative of -q**3/3 + 7*q**2 + 22*q + 12. Is 7 a factor of b(15)?
True
Suppose 82 = w - 0*w + 5*u, -u = -2*w + 186. Suppose 0 = 9*c - 7*c - w. Is c a multiple of 4?
False
Let h be 5/((-3)/(-3)*1). Suppose 0 = -k + 6*k + 5*u - 35, 2*u = -h*k + 23. Suppose k*b = -0*b + 21. Is 7 a factor of b?
True
Let i(p) be the third derivative of -p**6/120 + p**4/6 + p**3/2 - p**2. Let u be 2*1 + -24 + 20. Is 3 a factor of i(u)?
True
Let g(s) = 4*s**3 - s - 7*s**2 - 10*s**2 + 1 + 19*s - 5*s**3. Let u be g(-18). Let z(v) = 27*v**3 + v**2 + v - 1. Is z(u) a multiple of 7?
True
Suppose -4*g + 1 = -7. Suppose -5*c + 4 = 2*d, g*c - 5*d + 10 = c. Suppose -2*b - b + 42 = c. Does 6 divide b?
False
Let j = 3 - 2. Let x(c) = -5 + 6*c - 2 - j. Does 11 divide x(5)?
True
Suppose 3*g - 4*o = 22, -4*g + 4*o = g - 26. Suppose -g*w + 32 = -0. Is w a multiple of 16?
True
Let d = 990 - 733. Does 21 divide d?
False
Suppose 6*a + u = 9*a - 334, 4*a - 450 = -u. Suppose 3*k - 20 - 8 = -j, 4*j = -5*k + a. Is 28 a factor of j?
True
Let t be -1*((-15)/6 + 0)*2. Suppose s - 88 + 14 = -z, 374 = t*s + 3*z. Is 19 a factor of s?
True
Suppose -1476 = -4*p + 4*w, -5*p + 5*w = -2*p - 1109. Is p a multiple of 25?
False
Let z = 601 - 367. Suppose -5*n + 276 = -z. Does 13 divide n?
False
Let g(f) = f**3 + 47*f**2 + 89*f + 68. Is g(-45) a multiple of 5?
False
Let i(r) = r**2 + 8*r + 12. Let h be i(-5). Is h*(-1)/3 - -142 a multiple of 26?
False
Suppose 2*x = 3*x - 7. Suppose 0 = 5*k + 5*v - 20, k = -0*k - 4*v +
|
{
"pile_set_name": "DM Mathematics"
}
|
0. Solve m = -4*v - 5*z, -3*z = -10 - 2 for v.
-5
Suppose -u + 0*v - 4 = -v, -13 = -2*u - 5*v. Let o be 63 + 0 + -2 - u. Suppose -o = -18*w + 10. Solve w*h - l = 12, 5*h - 2*l - 14 = -l for h.
2
Let f(l) = 4*l**2 + 23*l - 23. Suppose -19*b = -3*b - 16. Let k be f(b). Solve -5*n - k*q = 21, -n = 2*n + 3*q + 12 for n.
-5
Let p(y) = 16*y**2 - 28*y - 29. Let o be p(-1). Solve -o = -5*n - 4*i - 4, -5*n - 2*i = -3 for n.
-1
Suppose -5*d = -2*k - 17, 3*d - 19 = 3*k - 16. Suppose -l + 2 = -4*w - 16, d*l = -w + 6. Solve l*s - 8 = -2*b - 0*b, 2*b = 5*s - 13 for b.
1
Suppose 7*c = -2*c + 630. Suppose 8*d = -6*d + c. Solve -3*x - j - 5 = 0, -x + 5*j = -4 - d for x.
-1
Let j(s) = 467*s - 2*s**2 - 431*s - s**2 - 23. Let h be j(11). Solve 7 = 2*x - 0*x + v, -3*x = 2*v - h for x.
4
Suppose 185 = -9*k + 463 - 233. Let m(w) = -w**2 + 9*w - 8. Let c be m(7). Suppose c*j = j + 15. Solve -57 + 7 = 5*z - k*x, -2*z = -j*x + 25 for z.
-5
Suppose -240 = -5*p + 2*u, -5*p - u + 200 = -40. Let y = 51 - p. Suppose 15 = 4*w + 3*m, y*m = -w + 2*w. Solve 4*i = -2*k, i + w*k = 4*i + 18 for i.
-2
Let k(u) = 1 - 9*u**2 + 20 + u**3 - 5 - 12*u**2 - 27*u. Let f be k(22). Let l = 94 + f. Solve 3*p + 2*m - 13 = l, 3*m - 4*m = -3*p + 7 for p.
3
Suppose 0 = 4*s - 24, -3*g = 5*s - 9 - 60. Solve -276*j + 273*j = -4*c - g, 0 = -2*j - 5*c - 22 for j.
-1
Let j(h) = 8*h**3 + 4*h**2 + 3*h + 2. Let a be j(-2). Let w = a + 54. Suppose -y = -8 - w. Solve -5*m = y, 2*f + 0*m + m = 4 for f.
3
Let b = -697 + 698. Solve m - w = 0, -4*m + 3*w + b = -1 for m.
2
Suppose v - 4*c - 34 = 0, 3*v + 4*c - 4 - 34 = 0. Suppose 4*r - 3*t = v, -7*r + 4*t + 11 = -6*r. Solve -i - 2*l = -r*l + 10, 0 = 3*i - 4*l + 35 for i.
-5
Let k(y) = y**2 - y - 2. Let g be k(-3). Let a be 5/(-10) - g/(-4). Solve a*d = -6, -3*u - 2*d = -8*u - 9 for u.
-3
Let g be (-8 - (3 - 15))/((-1)/(-1)). Solve 2*r = -4*o - 18, 4*r = g*o - 2*o - 6 for o.
-3
Let u = -4531 - -4556. Solve -l + u = 5*r, 10 + 0 = 2*r + 5*l for r.
5
Let v be 5 + 5 + -6 - -46. Let w be 10/v - ((-134)/5 + -1). Solve -5*p = -0*r + 2*r + w, 0 = -2*p - 8 for r.
-4
Let i = 26 + -49. Let u = i + 27. Suppose s - 4 = -5*b + 11, -4*s - u*b + 12 = 0. Solve s*d + 4*d - 15 = -5*h, -2*d = -5*h + 15 for d.
0
Let y = 2874 + -2870. Solve 7*t = y*c + 12*t + 29, 5*c + t + 10 = 0 for c.
-1
Suppose -13 + 130 = -9*z. Let n be 9114/(-91) + (-2)/z. Let j = -92 - n. Solve 20 = 2*y - 5*c, -7*y + 2*y - 2*c = j for y.
0
Let x(j) = -17*j - 68. Let g be x(-10). Suppose 8*y + g = 59*y. Solve -5*z - 11 = 3*c, 2*z - y*c + 12 + 2 = 0 for z.
-4
Suppose -11 = 11*n - 33. Suppose 4*a = 29 + 43. Let b be 15/n*24/a. Solve s + b = -s - 4*r, -5*s + 15 = 2*r for s.
5
Let m be (1 + 6 - 6)*(0 + -6). Let b be (-12)/(-10)*m*(-30)/54. Solve 5*y - q + 22 = 0, -14 - 2 = 2*y - b*q for y.
-4
Let j(g) = -2*g**2 - 6*g + 5. Suppose 28 = h - 5*h. Let c be j(h). Let v = c - -54. Solve -5*s + 29 = 2*a, -2*s = v*a - 8 - 8 for a.
2
Suppose 42 = 13*n + 5 - 2. Solve t - 14 = -4*l, -5*t + n*l - 7 = -4*t for t.
2
Let g be (1/(-5) - 4/(-20)) + 1. Let v(o) = 28*o - 8. Let u be v(g). Suppose 26*z = 22*z + u. Solve -z*l + 0*b = b - 30, -5*l - 3*b + 40 = 0 for l.
5
Let s(h) = -4*h**3 - 5*h**2 + 16*h + 34. Let j be s(-2). Solve 19*q - 2*x - 25 = j*q, -2*x - 7 = q for q.
3
Suppose -7*f = 5*z + 32, 5*f = -908*z + 912*z - 38. Solve 10 = -m - z*o, -5*m = -3*m + 5*o + 24 for m.
-2
Let x be -4 + 6*(-1)/(-2) + 596. Let h = -591 + x. Solve -f = 5*l - 11, h*f + 2*l + 28 = 6*l for f.
-4
Suppose -7*q + 2*q + 13 = -b, -b = -2*q + 4. Suppose 0 = -q*k + k - 4. Let w be 2 - (-2)/(-2*(1 + k)). Solve -w = 4*v + 9, -v + 6 = 3*g for g.
3
Suppose 4*h + 60 - 44 = 0. Let t(b) = 2*b**2 + b - 27. Let o be t(h). Solve -3*q = -2*c + o, -q - 7 = 2*c - c for q.
-3
Let n = 1188 - 1186. Solve -a + 1 = n*v - 8, 2*a - 8 = -2*v for v.
5
Let f(x) = -32*x**2 + 3*x**3 + 63 + 16*x**2 - 4*x**2 - 11*x**2 + 11*x - x**3. Let r be f(15). Solve -2*g = r*b - 13, 3*b + 12 = -2*g + 5*g for b.
1
Let m(f) = 2*f**3 - f**2 + 3*f + 3. Let i be m(0). Let l be (8/(-6))/(2/(-3)). Let z be ((-16)/10)/(l/(-5)). Solve 3*a = -4*x, z*a - 7 = -i*x - 0*a for x.
-3
Suppose 5*i - 15 = -465. Let j = 108 + -193. Let x = j - i. Solve -5*w - 7 = 4*y, -3*y + 2*w - 3 = x*w for y.
2
Suppose 53*d - 142*d = -1424. Solve 3*f + 4*h - 15 = 7*h, 4*f - 2*h - d = 0 for f.
3
Suppose 0 = 24*r - 124 + 4. Suppose 0 = 2*t - f - r, -10*t - 5*f = -5*t - 5. Solve -3*z + 6 = 5*v, -4*v - 2*z + 6 = t for v.
0
Let c = -188 + 125. Let l be 57/24 - (3 + c/24). Solve 2*d + 4*q + 41 = 7*d, d + 3 = -l*q for d.
5
Suppose -92*f + 86*f = 270. Let k be (20/f)/(10/(-180)). Let j = 20 - 12. Solve 8 = -p - 3*u, -3*p - k = 5*u + j for p.
-2
Suppose -42 = 484*l - 485*l. Suppose l*r = 47*r - 65. Solve 4*u = -2*h + 7*h + r, 2*u = -2*h - 16 for u.
-3
Let f be (1 + -1)/(66 - 68). Suppose 0 = 4*c + 4*n + 4, f = c + 5*n - 9*n - 19. Solve 2*v = -k, -k = -2*k + c*v for k.
0
Let v(s) = -96*s - 283. Let c be v(-3). Solve -l + 6 = c*j + 16, 2*l = 0 for j.
-2
Let s be ((-882)/24)/(1 + 3/(-4)). Let p = -137 - s. Solve 2*c - 2*z = -p, -5*c - 14 - 6 = -4*z for c.
0
Let u(h) = -10 + 4*h - 4 + 5 - 1. Let p be u(4). Let m be (-9)/(-4) - (p/(-8))/(-3). Solve 5*o - 20 = m*f, 0*f - 8 = -2*o + f for o.
4
Let g be ((-33)/(-66))/(-1 + (-38)/(-36)). Solve g*q - 5*r = 6*q - 7, 2*q = -2*r + 6 for q.
1
Let p be ((-5)/(15/(-2)))/((-26)/(-195)). Suppose -4*j - 5*l + 41 = 0, -4*j = -p*j + 3*l - 11. Solve 15 = -3*m, j*m - 5 = 2*n - 21 for n.
-2
Let m be -3*2/(-6)*(-1 + 1). Suppose 2*p - 3 = 2*i - 1, m = -5*i + 15. Solve 3*d - 18 = 3*o, 4*d = -p*o + 2*d for o.
-2
Let t be 30/(-40) - (-138)/24. Solve -c + 4 = 5*b - 7*b, t*c = -4*b - 8 for c.
0
Let h be (13 - 35) + 110*11/55. Let u(p) = -2*p - 4. Let o(a) = a. Let l(s) = -3*o(s) - u(s). Let z be l(4). Solve 0 = 5*f - 5, z = -4*d - h*d + 4*f + 8 for d.
3
Suppose 2*m - p - 11 = 0, -2*m + 104*p - 9 = 107*p. Solve m = -a - 3*j, -15*j = 2*a - 20*j + 6 for a.
-3
Suppose 11*x = 14*x + 3. Let d be ((-1)/2*x)/(6/552). Let n = d - 42. Solve 2*j = -n*y + 2, -j + 0*y = -4*y - 7 for j.
3
Let d be 8/6 + 3182/111. Suppose -d*k + 2 + 28 = 0. Solve -3*s - k = 2*q, 0*q - 3*q - 2 = 4*s for s.
1
Let j be (1/(7 - 5))/((-6)/(-48)). Solve 0 = j*d - 2*i + 5 - 27, d - i = 8 for d.
3
Let x = -17442 + 17467. Solve -4*t = -u + 16, 37 - x = -4*t for u.
4
Let r(s) = 6*s + 20. Let t be r(-3). Suppose 2*d = 2*q - 70, -4*q = -t*d - 122 - 10. Suppose 7*n - q = 18. Solve 0 = m + 4*g + n, m - 4 = -m + g for m.
1
Let v(c) = c + 1. Let s be v(-12). Let k = s - -11. Suppose k*b + 4*b - 4 = 3*r, -4*b + 2*r = -4. Solve -3*d = -2*z - 1, -3*z = 3*d - 22 + b for d.
3
Let o(b) = 16*b - 2. Let h be o(2). Suppose 3*p - 11 = -l, -4*l - 5*p + h = -0*l. Suppose 10 + 15 = l*g. Solve -8 = y + 2*m, 4*m + 10 = -g*y - 18 for y.
-4
Let w be ((-1)/(9/33))/((-1)/3). Let y be ((-3)/(-2) + -2)*(-15 + w). Solve 5*f = 4*m - 28, 4*m = y*f + m + 14 for f.
-4
Let r(c) = c**2 - 110*c - 335. Let n be r(113). Solve 32 = 4*h - n*g, -5*h - 9*g = -12*g - 32 for h.
4
Let n(s) = -s**2 - 18*s + 81. Let b be n(-20). Let z(q) = -3*q + 128. Let t be z(b). Solve -5*m - 5*d - 16 - 14 = 0, -t*m - 3*d = 28 for m.
-5
Let x(r) = -r**3 + 5*r**2 + 7*r - 1. Let s be x(6). Let o be 104/4 + 1008/(-48). Solve -2*k = -s*f - 0*k - 23, -o*f - k = 26 for f.
-5
Suppose -3 = -m, -3*z + 7*z = -5*m + 115. Suppose -9 - 9 = -2*a. Let g be (2 + a/3)*2. Solve -2*p + g = -5*x - 4*p, -3*x + z = -5*p for x.
0
Let n = 70 + -68. Suppose -n = -8*f + 22. Suppose j - 5*j = -16. Solve -j*i + f*d = -26, 5*d + 8 = i - 7 for i.
5
Suppose 5*c - 35 + 19 = -2*i, 0 = 3*c - 3*i - 18. Suppose -5*m = c*w - 70, -w = -5*m + 50 + 45. Solve 5*j - m = d, -2*j + 7*j = -d + 12 for j.
3
Let r(w) = 30*w + 1570. Let k be r(-52). Solve 4*o - 2*d = -k, 15 = -0*d - 5*d for o.
-4
Let m(c) = -2 + 6 + 3*c**2 + 3*c - 5. Let s be m(1). Solve -4*z + s*d - 9 = -2*z, -z + 3 = 5*d for z.
-2
Suppose -85*x = -66*x - 57. Solve -x*w = -2*s - 9, -7*s + 4*s + w - 3 = 0 for s.
0
Suppose 6861 - 6875 = -7*y. Solve 11 = -3*f - y*p, 3*p = -7*f + 8*f + 11 for f.
-5
Let b(p) = 4*p**2 - 240*p - 239. Let q be b(61). Solve -q*g = -4*j + 4, 0*j - 3*j = -2*g - 3 for g.
0
Let u be 20 - ((-42)/(-1))/3. Solve -i - 6 = -3*a, -2*i + 8*a + u = 11*a for i.
0
Suppose -101 - 39 =
|
{
"pile_set_name": "DM Mathematics"
}
|
ded to the nearest integer?
1719
Round -0.0076094359 to 2 dps.
-0.01
What is 32354276.06 rounded to the nearest one hundred thousand?
32400000
What is -3673.47103 rounded to the nearest integer?
-3673
What is 828.696865 rounded to the nearest 100?
800
Round -127.6382603 to zero dps.
-128
Round 0.004755821382 to 7 dps.
0.0047558
Round 0.00178703813 to 5 decimal places.
0.00179
What is 7790149.818 rounded to the nearest ten thousand?
7790000
What is -59526123 rounded to the nearest 10000?
-59530000
What is -0.014187536 rounded to 3 decimal places?
-0.014
What is -14134210 rounded to the nearest ten thousand?
-14130000
What is -0.0307883413 rounded to five dps?
-0.03079
Round 827478967 to the nearest one million.
827000000
What is 8049.6291 rounded to the nearest ten?
8050
What is -0.1384785303 rounded to two decimal places?
-0.14
Round 0.1562815 to four dps.
0.1563
Round 96508399960 to the nearest 1000000.
96508000000
What is -264541419.5 rounded to the nearest ten thousand?
-264540000
Round -412808.43 to the nearest 10000.
-410000
What is -123.28193 rounded to the nearest integer?
-123
Round -0.01437631202 to 4 dps.
-0.0144
What is 560.78701 rounded to the nearest one hundred?
600
What is 229070.329 rounded to the nearest one hundred?
229100
Round -0.000603566905 to 7 decimal places.
-0.0006036
What is 0.1108565963 rounded to five dps?
0.11086
What is -9.4097834 rounded to three dps?
-9.41
Round -0.502694111 to 5 dps.
-0.50269
Round 81.4723815 to zero decimal places.
81
What is -21.6377806 rounded to one dp?
-21.6
Round 0.03402745 to 4 decimal places.
0.034
What is -594482328.6 rounded to the nearest ten thousand?
-594480000
Round 3.01454203 to three dps.
3.015
What is 139800641 rounded to the nearest 1000000?
140000000
Round -0.0495929835 to 4 decimal places.
-0.0496
What is -280.1244752 rounded to the nearest 10?
-280
What is 9899.8809 rounded to the nearest integer?
9900
What is -0.010685346 rounded to 2 dps?
-0.01
Round -0.00469998823 to 5 decimal places.
-0.0047
Round -101218.011 to the nearest 1000.
-101000
Round 10109506.86 to the nearest one hundred thousand.
10100000
Round 0.0000608795449 to 4 decimal places.
0.0001
Round -4167.1765 to 1 decimal place.
-4167.2
Round 0.237536874 to two decimal places.
0.24
What is -0.16896057503 rounded to 4 decimal places?
-0.169
Round 410922.0586 to the nearest one hundred.
410900
Round 0.001066831302 to six dps.
0.001067
Round -0.00041821639 to four decimal places.
-0.0004
Round -3224.1214 to the nearest 1000.
-3000
What is 0.049237625 rounded to four dps?
0.0492
What is 889530.8 rounded to the nearest 100?
889500
What is -56938.243 rounded to the nearest ten?
-56940
Round -0.00003388271913 to 7 dps.
-0.0000339
Round -17330.5923 to the nearest 100.
-17300
What is 78328 rounded to the nearest one million?
0
What is 73.8760119 rounded to two decimal places?
73.88
What is 80.22463176 rounded to the nearest ten?
80
What is 16908156.62 rounded to the nearest 100000?
16900000
Round 1370544.53 to the nearest one hundred.
1370500
What is 110137195.5 rounded to the nearest 1000?
110137000
Round 229.28465198 to two dps.
229.28
Round 567.58932 to the nearest integer.
568
What is -0.00061654096 rounded to five dps?
-0.00062
Round 6952.43477 to the nearest 10.
6950
What is -0.000388678269 rounded to six dps?
-0.000389
Round 117333748 to the nearest one million.
117000000
What is 153949.729 rounded to the nearest 100?
153900
What is -1199282.8 rounded to the nearest one hundred thousand?
-1200000
What is -9863910.8 rounded to the nearest one hundred thousand?
-9900000
What is 0.0000032994106 rounded to 7 dps?
0.0000033
Round -69.03476 to the nearest 10.
-70
Round 24229602.9 to the nearest 1000.
24230000
Round 1.25811604 to 4 decimal places.
1.2581
What is 22949.784 rounded to the nearest one thousand?
23000
What is 2.01952718 rounded to four decimal places?
2.0195
Round 2253896733 to the nearest ten thousand.
2253900000
What is 1.34434572 rounded to one dp?
1.3
Round 3.09540018 to two dps.
3.1
What is -162087217 rounded to the nearest 100000?
-162100000
Round -0.00223943818 to 5 decimal places.
-0.00224
Round 0.00507716662 to four dps.
0.0051
Round -1574082.6 to the nearest 10000.
-1570000
Round 33.9381233 to the nearest integer.
34
Round -0.00001830604793 to 6 decimal places.
-0.000018
What is -16672.7528 rounded to the nearest 10?
-16670
What is 10295.358586 rounded to the nearest 100?
10300
What is -54290.38681 rounded to the nearest ten thousand?
-50000
Round -0.00000423995663 to seven decimal places.
-0.0000042
Round 0.3713488361 to five dps.
0.37135
What is -143205.1921 rounded to the nearest integer?
-143205
Round 1624089.8187 to the nearest ten thousand.
1620000
Round 0.1971509517 to 2 decimal places.
0.2
Round -1283.54813 to 1 dp.
-1283.5
Round 136014.059 to the nearest 10000.
140000
What is 7578940590 rounded to the nearest one million?
7579000000
Round -2705428990 to the nearest 100000.
-2705400000
Round 21.6247472 to two decimal places.
21.62
Round 1.848060847 to 2 decimal places.
1.85
What is 0.0000031537619 rounded to six decimal places?
0.000003
Round -729.7006726 to 1 dp.
-729.7
What is 741651508.8 rounded to the nearest ten thousand?
741650000
What is -0.0154098355 rounded to 6 dps?
-0.01541
What is -928403400 rounded to the nearest one hundred thousand?
-928400000
What is 558845.4854 rounded to the nearest 100?
558800
What is -0.063572419 rounded to four dps?
-0.0636
Round -380995.736 to the nearest 1000.
-381000
Round 0.002423886127 to 4 decimal places.
0.0024
Round 3938168.8 to the nearest 100.
3938200
What is -74.4369792 rounded to 1 decimal place?
-74.4
What is 0.000004690049918 rounded to seven dps?
0.0000047
What is -26.11468106 rounded to two decimal places?
-26.11
What is 2.49040856 rounded to 3 decimal places?
2.49
Round 1841.08904 to the nearest 10.
1840
Round 141191511.8 to the nearest 10000.
141190000
What is -4.03439118 rounded to 4 decimal places?
-4.0344
What is -0.0000169568026 rounded to 5 dps?
-0.00002
Round -0.1935000319 to five dps.
-0.1935
Round 0.406525192 to one decimal place.
0.4
What is -5.089943066 rounded to one decimal place?
-5.1
Round -6096400.372 to the nearest ten thousand.
-6100000
Round -1757210.377 to the nearest one hundred.
-1757200
Round 0.000001630590763 to 7 dps.
0.0000016
Round -0.00114759757 to 5 decimal places.
-0.00115
Round 0.007955423077 to 3 decimal places.
0.008
What is 3872667.77 rounded to the nearest 10000?
3870000
Round -7.1902219 to 3 dps.
-7.19
Round -0.095391034 to five decimal places.
-0.09539
Round 4454733.4 to the nearest one hundred.
4454700
What is 4892740.6 rounded to the nearest ten thousand?
4890000
What is 0.8056109123 rounded to 4 dps?
0.8056
Round -25.37596724 to three decimal places.
-25.376
Round 5602.44893 to the nearest ten.
5600
Round 5030.99337 to the nearest one thousand.
5000
What is 645928665 rounded to the nearest one hundred thousand?
645900000
Round 1320933.55 to the nearest ten thousand.
1320000
Round 177.9433727 to 3 decimal places.
177.943
Round -0.000397387 to 7 decimal places.
-0.0003974
Round 50.3109073 to three dps.
50.311
What is -31849116.3 rounded to the nearest one thousand?
-31849000
Round -0.000003691318 to 3 decimal places.
0
Round 0.0190477893 to 4 decimal places.
0.019
Round -258.98382 to 0 decimal places.
-259
Round -1771.267621 to the nearest 100.
-1800
Round -11.7436308 to 3 dps.
-11.744
What is 0.0052830932 rounded to 6 decimal places?
0.005283
What is -0.00623191845 rounded to three decimal places?
-0.006
Round -0.000306646095 to 7 dps.
-0.0003066
What is 0.017298835618 rounded to 7 dps?
0.0172988
What is -1814.2234 rounded to the nearest 10?
-1810
What is 76.92905304 rounded to the nearest ten?
80
Round -15780.05696 to the nearest ten.
-15780
What is -676338038 rounded to the nearest one million?
-676000000
Round -0.00010046953176 to 6 dps.
-0.0001
Round -0.0145200007 to 6 decimal places.
-0.01452
What is 1765060990 rounded to the nearest 100000?
1765100000
What is 4538111.38 rounded to the nearest 1000?
4538000
Round 379783670 to the nearest 1000000.
380000000
Round 5046.026409 to the nearest one thousand.
5000
What is 818.20077 rounded to zero decimal places?
818
What is -0.301066473 rounded
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(108)).
-56*sqrt(3) - 7
Simplify (4*(sqrt(108) + -2) - sqrt(108) - -2*(sqrt(108) + -3)) + 4.
-10 + 30*sqrt(3)
Simplify ((6*(-2*sqrt(330) + sqrt(330) - sqrt(330)))/sqrt(10))/(sqrt(539) + sqrt(539)*-1 + sqrt(539) - (sqrt(704) - (sqrt(704) + sqrt(704) + 2*sqrt(704)))).
-12*sqrt(3)/31
Simplify (-3*(sqrt(189) + (sqrt(189) - (sqrt(189) - (-1*sqrt(189) - sqrt(189))))))/(-3*sqrt(112) - sqrt(7)).
-9*sqrt(3)/13
Simplify -3*(-1*sqrt(76))**2 - ((sqrt(76) - (sqrt(76) + sqrt(76) + 0)) + sqrt(76) + -5) - -4*-5*((1 + sqrt(76))**2 - sqrt(76)).
-1763 - 40*sqrt(19)
Simplify (sqrt(637) + (sqrt(637) + 2)*-6)**2 + (sqrt(637)*1 + -2)**2.
812*sqrt(13) + 16710
Simplify (-4*sqrt(117)/((sqrt(54)*-2 - sqrt(54) - sqrt(54))/sqrt(6))*6)**2 + -3.
465
Simplify (sqrt(294)*2*-5)/(((2*sqrt(20) + sqrt(20))*-3)/sqrt(10)).
70*sqrt(3)/9
Simplify ((-4 + (sqrt(1539) - ((-1 + sqrt(1539) + -1 - sqrt(1539)) + sqrt(1539))))*-6)**2*-3 + 5.
-427
Simplify 3 + sqrt(99) + -1 + -5 + (sqrt(22) - sqrt(352)*1)/sqrt(2).
-3
Simplify (sqrt(42)/(6*sqrt(24)/sqrt(4)) + 2 + ((2*sqrt(84))/sqrt(12))**2)*4.
2*sqrt(7)/3 + 120
Simplify 4*(sqrt(363) + -4 + sqrt(363)*1 + -1 + sqrt(363) + 5 + -2).
-8 + 132*sqrt(3)
Simplify (2*((sqrt(704) - ((sqrt(704) - (sqrt(704) + -2 + sqrt(704) + sqrt(704)) - sqrt(704)) + sqrt(704) + 2)) + sqrt(704) + 5*sqrt(704)*-1) + -2)**2.
320*sqrt(11) + 2916
Simplify ((1 + sqrt(972) - sqrt(12)) + -5 + 5*-3*sqrt(3))**2.
-8*sqrt(3) + 19
Simplify (-2*(sqrt(176) + -3 + sqrt(176)))**2 + (sqrt(176) - ((sqrt(176) + -2)*-6 + sqrt(176))) + -3.
-168*sqrt(11) + 2837
Simplify (-2 + ((sqrt(1573)*2 + sqrt(1573) - sqrt(1573)) + 4 - (sqrt(1573) + 0 + sqrt(1573) + 1 + sqrt(1573))) + -1)**2.
1573
Simplify 1*sqrt(75) + (1 + sqrt(432))**2 - (2 + ((sqrt(243) - (sqrt(243) - (sqrt(243) + -1))) + 3 + sqrt(243) + sqrt(243))**2).
-1760 - 79*sqrt(3)
Simplify (((sqrt(85) + sqrt(85)*1 + sqrt(85))*-4)/sqrt(5) + -2*(sqrt(425) + 5))**2.
440*sqrt(17) + 8328
Simplify 2*(-6*(2 + sqrt(2736) + sqrt(2736)))**2 + ((sqrt(2736)*3 + -1)*-3)**2.
6264*sqrt(19) + 1009881
Simplify (-6*-4*sqrt(14)/sqrt(2))**2 + (-5*(sqrt(112) + 5 - sqrt(7) - sqrt(7)))**2.
500*sqrt(7) + 5357
Simplify -6*-1*((1*sqrt(891))**2 + 3).
5364
Simplify (((sqrt(280)*-3 + sqrt(280))/sqrt(8))/(sqrt(35)/(sqrt(56)/sqrt(8))))**2.
28
Simplify 4*(1 + ((3 + sqrt(27) - sqrt(3)*1*3) + sqrt(15)/((sqrt(105)/sqrt(3))/sqrt(7)))**2).
24*sqrt(3) + 52
Simplify -3*(-4*(sqrt(44) + -3*(3 + sqrt(44)))*-6)**2.
-444096 - 124416*sqrt(11)
Simplify -6*(((sqrt(304)*-1*2 + sqrt(304) + -4)*-4)**2 + 2).
-30732 - 3072*sqrt(19)
Simplify (-4*(-5 + sqrt(108) + (sqrt(108) - sqrt(108)*1)*3 + -4) + -3)**2.
-1584*sqrt(3) + 2817
Simplify 0 + ((sqrt(77) + sqrt(77) + 4*sqrt(77))*3)/(-4*sqrt(539)).
-9*sqrt(7)/14
Simplify (((sqrt(66)/(sqrt(55)/sqrt(5)) - sqrt(6))/sqrt(2) + -4*1*sqrt(3) + -4 + sqrt(12))*2)**2.
64*sqrt(3) + 112
Simplify (-2*(2*sqrt(896) - sqrt(896) - sqrt(896)))/(2*((sqrt(72) - sqrt(72)*-1) + sqrt(72)) + sqrt(72)).
0
Simplify (-4*sqrt(40) + sqrt(10))/sqrt(5)*3*4.
-84*sqrt(2)
Simplify (sqrt(21)/(sqrt(14)/sqrt(2)) - (0 + sqrt(6)/sqrt(2))) + -3*sqrt(27)/(sqrt(36)*-2).
3*sqrt(3)/4
Simplify -4*(-3 + (sqrt(272) - -2*sqrt(272)) - (sqrt(272) - ((sqrt(272) + -3 - sqrt(272))*-4 + sqrt(272))))**2.
-10116 - 864*sqrt(17)
Simplify 1*(sqrt(72) + 0 + 0)**2 - (3 + (2*sqrt(128)*2)**2).
-1979
Simplify (sqrt(68) + (sqrt(68) - 2*(sqrt(68) + (2*sqrt(68) - sqrt(68)))))/(-4*sqrt(324) + sqrt(4)).
2*sqrt(17)/35
Simplify ((2*-2*sqrt(896))/(sqrt(49)/(1*sqrt(7))*-2))**2 + -1.
511
Simplify 4 + -4 + -2 + 2*-6*3*(sqrt(17) - -1*sqrt(17))**2.
-2450
Simplify -2 + (5*-4*sqrt(114) + sqrt(114))/(sqrt(6) - (sqrt(384) - (3*sqrt(384) - sqrt(384)))).
-19*sqrt(19)/9 - 2
Simplify (4*((-2 + sqrt(343) - sqrt(343))*-3 + 2 + 2 + sqrt(343) + 2))**2.
2688*sqrt(7) + 7792
Simplify (-1 + 2 + sqrt(11))**2 + 1 + (sqrt(1100)*1 - sqrt(88)/sqrt(2))**2.
2*sqrt(11) + 717
Simplify 3*(1 + (sqrt(125)*-1 + -1)**2 + -3) + 0.
30*sqrt(5) + 372
Simplify (sqrt(30) - sqrt(90)/sqrt(3)*-6 - (sqrt(30) + -2*sqrt(120)))/(sqrt(360)*-1 + sqrt(360) + sqrt(810)*-1).
-10*sqrt(3)/9
Simplify (sqrt(24)/(sqrt(12)/sqrt(6)))/((sqrt(6) - sqrt(6)*-4)*-6) + 2.
-sqrt(2)/30 + 2
Simplify ((sqrt(110) + (sqrt(110) - 6*-2*sqrt(110)) + 5*-1*sqrt(110) + sqrt(110) + sqrt(110))/(-6*((-2*sqrt(250) - sqrt(250)) + sqrt(250) + sqrt(250))))**2.
1331/900
Simplify (sqrt(190)/(sqrt(10)*1) + sqrt(76) + 3)*-6 + ((sqrt(304) + -5)**2 - (-4 + sqrt(95)/sqrt(5))).
-59*sqrt(19) + 315
Simplify 0 + ((1 + sqrt(15)/sqrt(3) + sqrt(5))*-4)**2 + 4 + (sqrt(5) + 1)*5 + -2.
69*sqrt(5) + 343
Simplify ((sqrt(114) + 2*-1*sqrt(114))*1)/(sqrt(60)/(-2*sqrt(40)/sqrt(4))).
2*sqrt(19)
Simplify (2 + sqrt(5))*-5*-1 + (2 + sqrt(15)/sqrt(3) - sqrt(50)/(1*sqrt(10))).
5*sqrt(5) + 12
Simplify ((sqrt(187)/(sqrt(704)*-2))**2 - (4*sqrt(1377) + 3))*-2.
751/128 + 72*sqrt(17)
Simplify -5 + sqrt(2299)*-2 + (-1 + sqrt(475))**2 - (4 + sqrt(19) + 2*sqrt(19) + 0 + -1*sqrt(171)).
-32*sqrt(19) + 467
Simplify (-2*sqrt(4719)*-4)/(sqrt(96)/sqrt(2) - (sqrt(3) - sqrt(96)/sqrt(8) - sqrt(3))).
44*sqrt(13)/3
Simplify (sqrt(468) + 0 + -1 + (sqrt(468) + sqrt(468) + 0 + sqrt(468))*-5 + -1*-2*(sqrt(468) + 0) + -3)**2.
576*sqrt(13) + 67408
Simplify (1*2*sqrt(78))/(sqrt(192)/sqrt(8)).
sqrt(13)
Simplify -1 + 2*(5*((-1 + sqrt(539) + sqrt(539))*-2 + sqrt(539) + 5))**2.
-14700*sqrt(11) + 244999
Simplify ((sqrt(170) - (sqrt(170) - sqrt(170)*1)*4)*6)/(-4*sqrt(30)/(sqrt(24)/sqrt(8))).
-3*sqrt(17)/2
Simplify -4*4*(2 + ((sqrt(10)/sqrt(2))**2 - sqrt(5)))*-4*-6.
-2688 + 384*sqrt(5)
Simplify -1 + ((((sqrt(114) + sqrt(114)*-2)*5 + sqrt(114) - sqrt(114)) + sqrt(114))*5)/((sqrt(600) + sqrt(600)*-2)*2).
-1 + sqrt(19)
Simplify (sqrt(75)/(-2*sqrt(5)*-2))/(4*(sqrt(720) + sqrt(720)*1 + sqrt(720))).
sqrt(3)/576
Simplify -1 + 4 + sqrt(80) + (sqrt(5) - (sqrt(125) + 1)**2) + -3.
-126 - 5*sqrt(5)
Simplify (sqrt(55)*1*-3*-3)/(((sqrt(88)/sqrt(2))/sqrt(4) - sqrt(11)) + sqrt(88)/(sqrt(16)/sqrt(2) + sqrt(8))).
18*sqrt(5)
Simplify (-1 + sqrt(832)*5)**2 + (-1*sqrt(260)/sqrt(5))**2 + 4.
-80*sqrt(13) + 20857
Simplify (-4 + ((sqrt(396) - (sqrt(396) + -1 + sqrt(396))) + -4 - (sqrt(396) - (4 + sqrt(396)*-4) - sqrt(396))) + 1)**2.
120*sqrt(11) + 9904
Simplify (sqrt(30)/sqrt(2)*-1 + sqrt(30)/sqrt(2)*5)/(sqrt(160)/sqrt(8)*5).
2*sqrt(3)/5
Simplify ((sqrt(12) - (sqrt(1728) + (sqrt(1728) - (sqrt(1728) + -3*sqrt(1728) - sqrt(1728))) + sqrt(1728)))/(sqrt(4) + 3*(sqrt(16)/sqrt(4) + sqrt(4))))**2 + 3.
15270/49
Simplify ((sqrt(2420)*-1*-4)/(sqrt(28)/(sqrt(140)/sqrt(5))))**2.
38720
Simplify -1 + (sqrt(540) + (sqrt(540) - (sqrt(540)*2 + sqrt(540) + sqrt(540))))/sqrt(5) + (sqrt(84) + sqrt(21))/sqrt(7) + 2*sqrt(48).
-sqrt(3) - 1
Simplify ((-2*((sqrt(102)*2 - sqrt(102)) + sqrt(102)) - -3*-1*sqrt(102))/(2*sqrt(60)/(sqrt(50)/sqrt(5))))**2.
833/4
Simplify (sqrt(20)*-3*-4)/(sqrt(16)/(sqrt(8)/sqrt(2)) + sqrt(4)).
6*sqrt(5)
Simplify (4*3*(0 + (sqrt(832) + (-3 + sqrt(832) - sqrt(832)))*2 + sqrt(832)))**2.
-41472*sqrt(13) + 1083456
Simplify 4 + ((sqrt(1216) - (2 + sqrt(1216))*4)*2)**2.
1536*sqrt(19) + 44036
Simplify (sqrt(204) + -3*(sqrt(204) - (sqrt(204) + sqrt(204)*3 + sqrt(204))))/(1*sqrt(192) - sqrt(12)).
13*sqrt(17)/3
Simplify (3*(0 + sqrt(288))*6 + -3)**2.
-1296*sqrt(2) + 93321
Simplify 0 + (2 + (-2 + sqrt(1216))**2 + ((0 + sqrt(1216))*-4)**2)*-6.
-124068 + 192*sqrt(19)
Simplify (-2*sqrt(110)*-1)/(sqrt(490)*3 - sqrt(490)).
sqrt(11)/7
Simplify 0 + -1*sqrt(891) - ((sqrt(44) - sqrt(11))**2 + 3)*1.
-9*sqrt(11) - 14
Simplify (((sqrt(416) - (sqrt(416) + sqrt(416)*2))*2)/(((sqrt(4) + sqrt(100))*4)/sqrt(2)))**2.
52/9
Simplify (1 + 6*sqrt(833)*-5*2)**2.
-840*sqrt(17) + 2998801
Simplify (sqrt(119) - 2*-1*sqrt(119) - (sqrt(119) - 5*2*sqrt(119)))/((sqrt(35) - -1*sqrt(70)/sqrt(2))/sqrt(5)).
6*sqrt(17)
Simplify 2*(2*-5*(sqrt(2299) - (3 + sqrt(2299))*2))**2.
26400*sqrt(19) + 467000
Simplify (-4*1*sqrt(175) + sqrt(175))*-4 - ((sqrt(175) - (sqrt(175) + (sqrt(175) - 1*sqrt(175))**2)) + 4 - (sqrt(175) + (-4 + sqrt(175)*2)**2)).
-15*sqrt(7) + 712
Simplify ((2*sqrt(147)*-3 - sqrt(147)) + (0 + sqrt(147))*2)*5.
-175*sqrt(3)
Simplify (1 + sqrt(200) + 0 + -1*sqrt(200))**2*-2 + -5 + 4.
-3
Simplify (1*(sqrt(9)/(-3*(sqrt(3) + sqrt(6)/sqrt(2))) - (1*sqrt(2592))/sqrt(6)))**2.
5329/12
Simplify 5 + -3 + -4*sqrt(162)*-5.
2 + 180*s
|
{
"pile_set_name": "DM Mathematics"
}
|
culate the remainder when 1501614 is divided by 107226.
450
Calculate the remainder when 263820 is divided by 596.
388
Calculate the remainder when 6218591 is divided by 91448.
127
What is the remainder when 498276 is divided by 510?
6
Calculate the remainder when 179444 is divided by 73.
10
Calculate the remainder when 3055082 is divided by 1702.
1694
What is the remainder when 430367 is divided by 8436?
131
Calculate the remainder when 31788 is divided by 7054.
3572
Calculate the remainder when 16826 is divided by 50.
26
Calculate the remainder when 583676 is divided by 1213.
223
What is the remainder when 388448 is divided by 129403?
239
Calculate the remainder when 240469 is divided by 16022.
139
Calculate the remainder when 52087 is divided by 4300.
487
Calculate the remainder when 43986422 is divided by 183.
176
What is the remainder when 170698 is divided by 15478?
440
Calculate the remainder when 162026 is divided by 643.
633
Calculate the remainder when 2257330 is divided by 86816.
114
What is the remainder when 452049 is divided by 452041?
8
Calculate the remainder when 284299772 is divided by 68539.
0
Calculate the remainder when 12788 is divided by 12780.
8
What is the remainder when 31111 is divided by 1150?
61
Calculate the remainder when 13366 is divided by 3353.
3307
Calculate the remainder when 30176319 is divided by 2514692.
15
What is the remainder when 364584 is divided by 355?
354
Calculate the remainder when 56518 is divided by 376.
118
Calculate the remainder when 5794125 is divided by 724265.
5
What is the remainder when 22244008 is divided by 96713?
18
What is the remainder when 1869342 is divided by 1868535?
807
What is the remainder when 67500126 is divided by 22500035?
21
What is the remainder when 119997 is divided by 4783?
422
What is the remainder when 5422950 is divided by 769?
731
Calculate the remainder when 5494025 is divided by 176.
9
Calculate the remainder when 270480825 is divided by 35.
20
What is the remainder when 43077 is divided by 1335?
357
Calculate the remainder when 285215 is divided by 1378.
1347
What is the remainder when 67190 is divided by 9584?
102
What is the remainder when 812067 is divided by 135296?
291
What is the remainder when 245893 is divided by 245837?
56
What is the remainder when 665781 is divided by 221899?
84
Calculate the remainder when 30577754 is divided by 56.
18
Calculate the remainder when 246450 is divided by 122762.
926
What is the remainder when 59220 is divided by 14800?
20
What is the remainder when 27830 is divided by 5525?
205
What is the remainder when 114979 is divided by 504?
67
Calculate the remainder when 228598 is divided by 45037.
3413
What is the remainder when 13985852 is divided by 2977?
2883
What is the remainder when 24947404 is divided by 12953?
12879
What is the remainder when 19392087 is divided by 2867?
2566
What is the remainder when 161387 is divided by 53056?
2219
Calculate the remainder when 1627090 is divided by 1627079.
11
What is the remainder when 13106099 is divided by 80403?
410
Calculate the remainder when 1238013 is divided by 1497.
1491
What is the remainder when 418584 is divided by 268?
236
What is the remainder when 264578741 is divided by 47?
43
What is the remainder when 196875 is divided by 278?
51
What is the remainder when 10298015 is divided by 1220?
1215
What is the remainder when 584240 is divided by 120?
80
Calculate the remainder when 2025698 is divided by 506367.
230
Calculate the remainder when 741247 is divided by 39008.
95
Calculate the remainder when 4053698 is divided by 506711.
10
What is the remainder when 243303 is divided by 239796?
3507
What is the remainder when 13081314 is divided by 243?
138
Calculate the remainder when 23458086 is divided by 388.
382
Calculate the remainder when 190067167 is divided by 47516791.
3
Calculate the remainder when 22911839 is divided by 224.
223
Calculate the remainder when 52627 is divided by 798.
757
What is the remainder when 6173020 is divided by 799?
745
Calculate the remainder when 205661 is divided by 1435.
456
Calculate the remainder when 45518155 is divided by 30.
25
Calculate the remainder when 20806 is divided by 5902.
3100
Calculate the remainder when 6385688 is divided by 7111.
10
Calculate the remainder when 152892 is divided by 565.
342
What is the remainder when 1781064 is divided by 12283?
29
Calculate the remainder when 2674712 is divided by 1337354.
4
What is the remainder when 180704 is divided by 2771?
589
What is the remainder when 968041 is divided by 69099?
655
What is the remainder when 562019 is divided by 905?
14
Calculate the remainder when 1754480 is divided by 3917.
3581
Calculate the remainder when 134979 is divided by 588.
327
What is the remainder when 55228065 is divided by 726685?
5
Calculate the remainder when 129148 is divided by 35.
33
What is the remainder when 14007905 is divided by 67?
14
Calculate the remainder when 20851 is divided by 18257.
2594
Calculate the remainder when 2146494 is divided by 2766.
78
What is the remainder when 4023285 is divided by 191584?
21
What is the remainder when 162727 is divided by 54240?
7
Calculate the remainder when 136086 is divided by 1915.
121
Calculate the remainder when 619084 is divided by 5830.
1104
Calculate the remainder when 13112458 is divided by 23927.
462
Calculate the remainder when 3504087 is divided by 53092.
15
Calculate the remainder when 1391565 is divided by 278304.
45
What is the remainder when 4123279 is divided by 17252?
51
Calculate the remainder when 142319 is divided by 598.
593
Calculate the remainder when 13291 is divided by 6605.
81
What is the remainder when 9754310 is divided by 2191?
2169
What is the remainder when 347947226 is divided by 19?
17
Calculate the remainder when 81917694 is divided by 268.
10
What is the remainder when 3439936 is divided by 3439932?
4
Calculate the remainder when 4100722 is divided by 2689.
2686
What is the remainder when 20194924 is divided by 59?
50
Calculate the remainder when 939567 is divided by 312785.
1212
Calculate the remainder when 204590 is divided by 769.
36
What is the remainder when 584291 is divided by 12?
11
What is the remainder when 160945 is divided by 2037?
22
What is the remainder when 12418553 is divided by 392?
385
Calculate the remainder when 2131473 is divided by 351.
201
What is the remainder when 2525066 is divided by 8830?
8516
What is the remainder when 1723037 is divided by 28717?
17
What is the remainder when 2458336 is divided by 72?
40
Calculate the remainder when 144773 is divided by 1177.
2
What is the remainder when 353776 is divided by 32143?
203
What is the remainder when 1083046 is divided by 1049?
478
Calculate the remainder when 7200769 is divided by 1081.
228
What is the remainder when 12339836 is divided by 91?
54
Calculate the remainder when 72900662 is divided by 72900640.
22
Calculate the remainder when 482930 is divided by 179.
167
What is the remainder when 346158 is divided by 31467?
21
Calculate the remainder when 1956358 is divided by 293.
290
Calculate the remainder when 3333802 is divided by 14247.
4
What is the remainder when 716624 is divided by 104?
64
Calculate the remainder when 15361962 is divided by 80010.
42
What is the remainder when 510793 is divided by 255367?
59
Calculate the remainder when 7505588 is divided by 3752749.
90
What is the remainder when 15296333 is divided by 443?
429
What is the remainder when 93166 is divided by 5807?
254
What is the remainder when 5197 is divided by 573?
40
Calculate the remainder when 12333185 is divided by 7.
4
What is the remainder when 41789 is divided by 20799?
191
What is the remainder when 12714163 is divided by 157?
146
Calculate the remainder when 143285 is divided by 1936.
21
Calculate the remainder when 330611 is divided by 762.
665
What is the remainder when 214213750 is divided by 1146?
1138
What is the remainder when 1167646 is divided by 110?
106
Calculate the remainder when 4251139 is divided by 39.
22
What is the remainder when 80383220 is divided by 97?
96
Calculate the remainder when 656338885 is divided by 10786.
10785
What is the remainder when 127170 is divided by 253?
164
Calculate the remainder when 531266 is divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
1938586, 389251446?
97312860*x + 6
What is the b'th term of 39279, 77745, 116217, 154695, 193179, 231669, 270165?
3*b**2 + 38457*b + 819
What is the l'th term of -41359, -41669, -41975, -42277, -42575?
2*l**2 - 316*l - 41045
What is the n'th term of 225976, 226114, 226252?
138*n + 225838
What is the w'th term of 894, 751, 790, 1239, 2326?
38*w**3 - 137*w**2 + 2*w + 991
What is the y'th term of 145844, 583238, 1312228, 2332814, 3644996?
145798*y**2 + 46
What is the m'th term of 180509, 180488, 180467, 180446?
-21*m + 180530
What is the t'th term of -153, 278, 1387, 3168, 5615, 8722?
-t**3 + 345*t**2 - 597*t + 100
What is the z'th term of 3240, 3331, 3482, 3693, 3964, 4295, 4686?
30*z**2 + z + 3209
What is the n'th term of 226015382, 452030766, 678046150, 904061534, 1130076918, 1356092302?
226015384*n - 2
What is the m'th term of 52535982, 52535983, 52535984?
m + 52535981
What is the k'th term of 252722, 252711, 252698, 252683?
-k**2 - 8*k + 252731
What is the k'th term of -91189, -364622, -820301, -1458220, -2278373, -3280754, -4465357?
k**3 - 91129*k**2 - 53*k - 8
What is the p'th term of -222302, -889242, -2000834, -3557078, -5557974, -8003522, -10893722?
-222326*p**2 + 38*p - 14
What is the y'th term of 74117, 147988, 221859, 295730, 369601, 443472?
73871*y + 246
What is the g'th term of 8423811, 8423812, 8423813, 8423814, 8423815?
g + 8423810
What is the s'th term of 2256, 5599, 11176, 18993, 29056?
s**3 + 1111*s**2 + 3*s + 1141
What is the k'th term of 1575, 7743, 18019, 32397, 50871, 73435, 100083, 130809?
-k**3 + 2060*k**2 - 5*k - 479
What is the c'th term of -5492809, -5492626, -5492441, -5492254?
c**2 + 180*c - 5492990
What is the l'th term of -28962, -57897, -86814, -115719, -144618, -173517, -202422, -231339?
-l**3 + 15*l**2 - 28973*l - 3
What is the l'th term of 24414, 49082, 74008, 99192, 124634, 150334?
129*l**2 + 24281*l + 4
What is the r'th term of -8372, -67052, -226328, -536498, -1047860, -1810712?
-8383*r**3 + r + 10
What is the f'th term of -7889976, -7889977, -7889978?
-f - 7889975
What is the b'th term of 1038, 7925, 26454, 62391, 121502?
961*b**3 + 55*b**2 - 5*b + 27
What is the k'th term of 771, 1090, 1201, 1104, 799, 286?
-104*k**2 + 631*k + 244
What is the l'th term of -140, 1968, 6378, 13090?
1151*l**2 - 1345*l + 54
What is the y'th term of 3206336, 3206353, 3206382, 3206423, 3206476, 3206541?
6*y**2 - y + 3206331
What is the p'th term of 52824, 50657, 48490, 46323, 44156, 41989?
-2167*p + 54991
What is the r'th term of 259, 1295, 4107, 9583, 18611, 32079, 50875?
148*r**3 + 111
What is the f'th term of -10618, -10513, -10190, -9541, -8458, -6833, -4558?
18*f**3 + f**2 - 24*f - 10613
What is the a'th term of -5089, -19409, -42967, -75763, -117797, -169069?
-4619*a**2 - 463*a - 7
What is the u'th term of -5634, -10505, -15378, -20253, -25130?
-u**2 - 4868*u - 765
What is the q'th term of -1677904, -1677905, -1677906?
-q - 1677903
What is the n'th term of 52720, 105427, 158118, 210793, 263452, 316095, 368722?
-8*n**2 + 52731*n - 3
What is the f'th term of 3961, 16997, 30021, 43027, 56009?
-f**3 + 13043*f - 9081
What is the j'th term of -2556, -10130, -22730, -40338, -62936, -90506, -123030?
3*j**3 - 2531*j**2 - 2*j - 26
What is the g'th term of 81007, 161998, 242967, 323908, 404815?
-g**3 - 5*g**2 + 81013*g
What is the h'th term of -4180, -8751, -13328, -17911, -22500, -27095, -31696?
-3*h**2 - 4562*h + 385
What is the w'th term of 2910, 12924, 29996, 54126?
3529*w**2 - 573*w - 46
What is the q'th term of -76742, -153353, -229964, -306575, -383186, -459797?
-76611*q - 131
What is the j'th term of 354899, 709634, 1064369, 1419104, 1773839?
354735*j + 164
What is the h'th term of 162267, 324536, 486805, 649074?
162269*h - 2
What is the b'th term of 1087, 2075, 2609, 2689, 2315?
-227*b**2 + 1669*b - 355
What is the o'th term of 8049, 17707, 27353, 36981, 46585?
-o**3 + 9665*o - 1615
What is the h'th term of -6410987, -12821980, -19232985, -25644008, -32055055, -38466132?
-h**3 - 6410986*h
What is the k'th term of -138388287, -276776574, -415164861, -553553148, -691941435?
-138388287*k
What is the a'th term of 947026, 947033, 947040, 947047, 947054, 947061?
7*a + 947019
What is the s'th term of -83107743, -83107741, -83107739, -83107737, -83107735, -83107733?
2*s - 83107745
What is the b'th term of 32139, 32146, 32153, 32160, 32167, 32174?
7*b + 32132
What is the w'th term of 24209, 48406, 72603, 96806, 121021, 145254?
w**3 - 6*w**2 + 24208*w + 6
What is the i'th term of 293999, 588127, 882253, 1176377, 1470499, 1764619, 2058737?
-i**2 + 294131*i - 131
What is the k'th term of 205005, 409980, 614955, 819930?
204975*k + 30
What is the v'th term of 496296, 990309, 1484322, 1978335?
494013*v + 2283
What is the j'th term of 3848, 5827, 7806, 9785, 11764, 13743?
1979*j + 1869
What is the s'th term of -60084, -120979, -181876, -242775?
-s**2 - 60892*s + 809
What is the t'th term of -806, -3612, -6426, -9248, -12078?
-4*t**2 - 2794*t + 1992
What is the l'th term of 331950, 331891, 331796, 331665, 331498, 331295, 331056?
-18*l**2 - 5*l + 331973
What is the n'th term of 179824, 359632, 539440, 719248?
179808*n + 16
What is the l'th term of -7195, -57453, -193897, -459619, -897711, -1551265, -2463373, -3677127?
-7182*l**3 - l**2 + 19*l - 31
What is the q'th term of -1108945, -1108942, -1108939, -1108936, -1108933?
3*q - 1108948
What is the l'th term of 27523, 109570, 246317, 437764, 683911, 984758, 1340305?
27350*l**2 - 3*l + 176
What is the l'th term of 3408, 6124, 8206, 9648, 10444, 10588?
-l**3 - 311*l**2 + 3656*l + 64
What is the c'th term of 9923332, 19846657, 29769982, 39693307, 49616632?
9923325*c + 7
What is the r'th term of -6674465, -13348928, -20023391, -26697854?
-6674463*r - 2
What is the q'th term of 1912595, 1912598, 1912599, 1912598, 1912595, 1912590, 1912583?
-q**2 + 6*q + 1912590
What is the c'th term of -11674959, -23349892, -35024825, -46699758?
-11674933*c - 26
What is the n'th term of 921, 298, -741, -2196?
-208*n**2 + n + 1128
What is the w'th term of 4614, 4566, 4530, 4506?
6*w**2 - 66*w + 4674
What is the v'th term of -3788861, -3788875, -3788897, -3788927, -3788965?
-4*v**2 - 2*v - 3788855
What is the x'th term of -8136, -16636, -25136?
-8500*x + 364
What is the p'th term of -1470, -1812, -2090, -2274, -2334, -2240, -1962?
5*p**3 + 2*p**2 - 383*p - 1094
What is the u'th term of 137659697, 275319393, 412979089?
137659696*u + 1
What is the s'th term of -133742523, -133742521, -133742519, -133742517?
2*s - 133742525
What is the f'th term of -61211577, -61211578, -61211579, -61211580, -61211581, -61211582?
-f - 61211576
What is the y'th term of -2389, -7163, -15121, -26263, -40589, -58099, -78793?
-1592*y**2 + 2*y - 799
What is the d'th term of 1740562, 1740556, 1740542, 1740514, 1740466, 1740392?
-d**3 + 2*d**2 - 5*d + 1740566
What is the g'th term of 354445, 708889, 1063333, 1417777?
354444*g + 1
What is the t'th term of 49080, 49104, 49056, 48900, 48600?
-6*t**3 + 66*t + 49020
What is the p'th term of -5638782, -11277578, -16916374, -22555170?
-5638796*p + 14
What is the r'th term of 390085, 390067, 390049, 390031?
-18*r + 390103
What is the y'th term of -438235, -438051, -437867, -437683, -437499?
184*y - 438419
What is the o'th term of 32791, 64214, 95625, 127018, 158387, 189726, 221029?
-o**3 + 31430*o + 1362
What is the j'th term of -531599643, -1063199286, -1594798929, -2126398572?
-531599643*j
What is the f'th term of 3956247, 3956243, 3956239, 3956235, 3956231, 3956227?
-4*f + 3956251
What is the y'th term of 75508, 74443, 73378, 72313?
-1065*y + 76573
What is the z'th term of 4485, 9710, 14935, 20160, 25385?
5225*z - 740
What is the z'th term of -1663582, -1663601, -1663622, -1663645, -1663670?
-z**2 - 16*z - 1663565
What is the q'th term of 5309861, 10619717, 15929573, 21239429?
5309856*q + 5
What is the r'th term of -29608, -34923, -40238?
-5315*r - 24293
What is the f'th term of 609, 3288, 8075, 14970, 23973, 35084?
1054*f**2 - 483*f + 38
What is the k'th term of 30831, 41573, 52315, 63057, 73799?
10742*k + 20089
What is the h'th term of 179481, 358276, 537071?
178795*h + 686
What is the h'th term of 1826221, 3652532, 5478843, 7305154, 9131465?
1826311*h - 90
What is the r'th term of 175844, 35
|
{
"pile_set_name": "DM Mathematics"
}
|
3/3 - 79. Calculate n(g(q)).
-21*q**4 - 2*q**2
Let x(d) = -23242*d. Let y(p) = -8*p. Calculate y(x(b)).
185936*b
Let l(z) = -z + 39. Let j(b) = -b - 2. Let q(m) = 9*m + 12. Let w(y) = -6*j(y) - q(y). What is l(w(s))?
3*s + 39
Let n(y) be the first derivative of -y**2/2 + 41. Let t(z) = 5*z. Let w(p) = 3*n(p) + t(p). Let b(c) = -7*c - 3. Determine w(b(i)).
-14*i - 6
Suppose -t - 4 = 2*c, -2 = -3*t + 2*c + 2. Let q(y) = -y - y + t*y + 4*y. Let p(z) = 2 + 3*z - 2. Give q(p(j)).
6*j
Let r(b) be the third derivative of -b**5/30 + b**2. Let h(i) be the first derivative of -i**2/2 + 743. Calculate h(r(a)).
2*a**2
Let s(r) = -4*r - 8. Let y be s(-6). Suppose -8*i + 4*i + y = 0. Let u(f) = 2*f + i*f - 5*f. Let z(v) = 3*v. Give u(z(n)).
3*n
Let c(g) = -12*g**2. Let x(n) = -65*n**2 + 2*n. Calculate x(c(k)).
-9360*k**4 - 24*k**2
Let g(m) be the second derivative of -3*m**4/2 - 98*m. Let j(u) = -2*u. Give j(g(n)).
36*n**2
Let z(v) be the second derivative of 17*v**4/6 - 135*v. Let d(r) = -10*r. What is z(d(y))?
3400*y**2
Let z(o) = -68*o + 10*o + 54*o. Let q(p) = 2*p. Determine z(q(i)).
-8*i
Let z(f) be the second derivative of -2*f**4/3 - 76*f. Let c(o) = 12*o**2. Give z(c(s)).
-1152*s**4
Let v(t) be the third derivative of 7*t**4/6 - t**2 + 21. Let k(u) = 6*u**2. Give v(k(q)).
168*q**2
Let g(x) = 82*x + 4 - 8 + 4. Let w(i) = -33*i. Let d(b) = -5*g(b) - 12*w(b). Let t(o) = -6*o + o + 3*o. Calculate d(t(k)).
28*k
Let u(g) = -3*g**2 - 12*g. Let q(x) = -x**2 + x. Let p(k) = -12*q(k) - u(k). Let t(a) = 453*a + 7 - 448*a - 7. Calculate t(p(l)).
75*l**2
Let c(s) = 5*s**2. Let j(z) be the second derivative of -z**4/2 - 216*z - 1. Determine j(c(q)).
-150*q**4
Let u(s) = 2*s**2 - 116*s. Let b(w) = 6*w + 0*w - 7*w - 1 + 1. What is b(u(f))?
-2*f**2 + 116*f
Let g(f) = 27*f**2. Let a(o) = 4*o**2 + 3*o - 3. Let l(m) = 0 - 33*m - 9*m**2 + 7 + 26*m. Let w(z) = 7*a(z) + 3*l(z). What is w(g(c))?
729*c**4
Let t(g) = -g**2 - 12*g + 1. Let d be t(-12). Let i(a) = 55*a**2 - a + 2. Let v be i(d). Let n(h) = -h**2 + v*h - 56*h. Let w(q) = -7*q**2. Give w(n(k)).
-7*k**4
Let s(g) = 3*g**2. Suppose -4*z - 4*i - 40 = 0, -3*i = -7*i + 12. Let c = z - -13. Let q(v) = c*v + v - 3*v + 4*v. Calculate s(q(w)).
12*w**2
Let d(l) = 4*l. Let s(n) = 529*n - 1049*n + 521*n. What is d(s(u))?
4*u
Let h(v) = -6*v**2 - 15*v. Let c(b) = b**2 + 2*b. Let n(a) = -15*c(a) - 2*h(a). Let q(z) be the third derivative of 3*z**4/8 - 18*z**2. What is n(q(i))?
-243*i**2
Suppose 3*b - 14 = 4. Let p(q) = -3*q + q + b*q. Let t(x) = -4*x**2 + 8*x**2 - 2*x**2. Calculate p(t(d)).
8*d**2
Let m(q) = -6*q**2 + 0*q**2 + 0*q**2. Let a(k) be the third derivative of k**4/12 + 329*k**2. What is m(a(h))?
-24*h**2
Let c(k) = -16*k**2 + 7*k**2 + 10*k**2. Let b(x) = 26*x**2 - 3*x**2 - 4*x**2. Give b(c(u)).
19*u**4
Let s(r) = -8*r**2. Let t(x) = -6*x. Let o(m) = 2*m. Suppose -2*h - 4 = 4*a, -a + 6 = -h - 8. Let z(u) = h*o(u) - 3*t(u). What is z(s(p))?
16*p**2
Let x(b) = -b - 11. Let h be x(-13). Let w(y) = 76 + 77 - 153 - 2*y**h. Let g(r) = -9*r. Give g(w(c)).
18*c**2
Let v(d) = -2*d. Suppose 0 = -2*n - 4*l + 24, -7*l + 2*l = 4*n - 33. Let m be -3 + n + (-24)/(-8). Let o(w) = -13*w - 6*w**m + 13*w. Give o(v(f)).
-24*f**2
Let s(k) = -15*k**2. Let m(p) = -15*p**2 + 40. What is m(s(v))?
-3375*v**4 + 40
Let j(z) = 50*z. Let b(n) = 4. Let v(a) = 4*a + 104. Let y(c) = 52*b(c) - 2*v(c). Give j(y(f)).
-400*f
Let v(w) = 471*w. Let y(h) = 18011*h + 1 - 18010*h - 1. Calculate y(v(z)).
471*z
Let m(a) = 278*a. Let j(z) be the second derivative of z**3/3 - 2*z - 182. Give m(j(t)).
556*t
Let f(d) = -18*d**2. Let v(k) = 970*k. Calculate f(v(m)).
-16936200*m**2
Let f(p) = -4*p**2. Let v(w) = -67515*w**2. Calculate f(v(m)).
-18233100900*m**4
Let v(b) = 4*b**2 + 4*b + 269. Let m(g) = 2*g. Calculate v(m(l)).
16*l**2 + 8*l + 269
Let q(p) = -395 + 2*p + 395. Let c(x) = 25*x. What is c(q(s))?
50*s
Let f(y) = 2*y + 3. Suppose -10*g + 13 = -17. Let i(h) = 4*h + 5. Let r(k) = g*i(k) - 5*f(k). Let c(z) = 31*z**2. Calculate r(c(a)).
62*a**2
Let a(z) = -10 + 32*z - 13 + 23. Let g(r) = -3*r**2. Give g(a(p)).
-3072*p**2
Let m(g) = g**2. Let u(x) be the second derivative of -10*x**2 - 15*x + 1/3*x**3 + 0. Calculate u(m(c)).
2*c**2 - 20
Let y(c) = -c. Suppose 2*x + 0*t + 12 = -4*t, 33 = -2*x + 3*t. Let a = 21 + x. Let g(j) = j - 3*j - a + 9. Calculate y(g(b)).
2*b
Let b(o) = -10*o. Let a(g) = 728594*g**2. Determine b(a(n)).
-7285940*n**2
Let k(l) = -l. Let h(c) = c + 2. Let n(j) = 9*j + 10. Let o(d) = 10*h(d) - 2*n(d). Give o(k(w)).
8*w
Let j(r) = 20 - 3*r - 36 + 16. Let h(i) = 3*i**2. Determine j(h(x)).
-9*x**2
Let m(d) = -2*d**2. Let c(b) be the second derivative of 25*b**4/12 - 12*b - 4. Calculate m(c(l)).
-1250*l**4
Let u(c) = 3 + 19 - 3*c - 33. Let w(t) = -t**2. What is u(w(h))?
3*h**2 - 11
Let x(o) = o**2. Let y(l) be the second derivative of 0*l**2 - 14*l + 25/6*l**3 + 0. Calculate y(x(d)).
25*d**2
Suppose 4*o - j - 3 = -0, 4*o + 5*j = -15. Let y = o - -2. Let s(v) = -7*v + y*v + 4*v. Let z(d) = d**2. Give z(s(w)).
w**2
Let f(d) be the second derivative of 59*d**3 + 102*d. Let l(y) = 2*y**2. Give f(l(q)).
708*q**2
Let z(n) = -5*n + 1. Let l(m) = -1221*m**2. What is l(z(s))?
-30525*s**2 + 12210*s - 1221
Let n be -147*1/(-7)*6. Let p(j) = -n*j + 61*j - 10*j**2 + 65*j. Let a(i) = -3*i + 0*i + 5*i. Calculate p(a(c)).
-40*c**2
Let k(m) = 2*m. Let l(q) = -10059*q**2 - 7*q. Give l(k(z)).
-40236*z**2 - 14*z
Let x(p) = -7221*p. Let c(n) = -2*n. Calculate x(c(i)).
14442*i
Let j(h) = 2*h**2. Let q = 31 + -29. Let k(x) = 19*x**q - 15 - 81*x**2 + 15. Give j(k(n)).
7688*n**4
Let p(d) = -1 + 9*d**2 + 1 - 11*d**2. Let i(j) = 5*j - 6. Let a(y) = 2*y - 1. Let l(c) = -6*a(c) + i(c). What is p(l(f))?
-98*f**2
Let r(j) = 3*j. Let s(u) = 87723*u. Calculate s(r(z)).
263169*z
Let k(c) be the second derivative of -2*c**3/3 - 2*c. Let p(n) be the first derivative of -7*n**2/2 + 429. What is k(p(z))?
28*z
Let w(c) be the third derivative of -33*c**5/20 - 23*c**2. Let j(u) = 2*u**2. Give j(w(r)).
19602*r**4
Let z(a) = 4*a - 834. Let w(l) = 7*l. Calculate z(w(r)).
28*r - 834
Let n(k) = -55 + 26 + 17 + k**2 + 18. Let d(y) = 3*y. What is d(n(t))?
3*t**2 + 18
Let w(a) = a. Let r(y) = 158*y - 71*y + 75 - 85*y. What is w(r(d))?
2*d + 75
Let k(c) = c - 325. Let o(p) = -790*p**2. What is k(o(j))?
-790*j**2 - 325
Let t(a) = 166*a - 206. Let z(n) = n. What is t(z(s))?
166*s - 206
Let v(q) = 4165*q. Let a(w) = 11*w**2. What is a(v(k))?
190819475*k**2
Let b(c) be the second derivative of 7*c**3 - 8*c - 2. Let z(s) = 2*s. Give z(b(w)).
84*w
Let y(s) = -s**3 + 4*s**2 + 3*s + 8. Let w be y(5). Let t(o) = -2*o**2 + 2. Let v(z) = 3*z**2 - 5. Let x(l) = w*v(l) - 5*t(l). Let d(f) = f. What is x(d(r))?
4*r**2
Let h(z) = -56*z + 2. Let o(w) = 36425*w - 36425*w + 3*w**2. Determine o(h(a)).
9408*a**2 - 672*a + 12
Let t(v) = 2*v. Let w(a) be the second derivative of 0 + 4*a + 0*a**2 - 5/6*a**3. Let z(l) = -25*l. Let d(h) = -11*w(h) + 2*z(h). Calculate t(d(f)).
10*f
Let y(m) = -245*m. Let g(r) = -108*r**2. Determine g(y(w)).
-6482700*w**2
Let a(h) = -2*h - 20. Let o(c) = 3*c + 24. Let x(g) = 6*a(g) + 5*o(g). Let q(f) be the first derivative of f**2/2 - 1. Calculate q(x(z)).
3*z
Let y(i) = 30*i**2 + 10. Let o(x) = x**2 - 2. Let c(p) = -5*o(p) - y(p). Let b(l) = 2*l**2. Give c(b(g)).
-140*g**4
Let u(j) = 13*j**2. Suppose 4*y = 10 + 6, 0 = -4*d - 4*y + 24. Let g(t) = t + d*t + 5*t - 6*t. Calculate u(g(z)).
52*z**2
Let r(u) be the third derivative of u**5/20 - 12*u**2. Let k(p) = -21 + 7*p**2 + 0*p**2 + 21. Give r(k(b)).
147*b**4
Let y(i) = 30794*i**2. Let j(b) = 10*b. Calculate j(y(p)).
307940*p**2
Let i(g) = g + 4492 - 1501 - 1495 - 1496. Let v(z) be the third derivative of -z**4/24 + z**2. Give v(i(c)).
-c
Let v(m) = -3*m**2. Let u(h) = -6*h + 6. Let w(b) = -6*b + 7. Let k(f) = 2*f**2 + f + 7. Let n be k(0). Let l(c) = n*u(c) - 6*w(c). Determine l(v(g)).
18*g**2
Let g(j) = -3*j. Let v(q) be the second derivative of 0*q**2 + 0 + 4/3*q**3 + 9*q. Give g(v(o)).
-24*o
Let a(b) = 446*b - 2. Let u(i) = -2*i**2 - 35. What is u(a(g))?
-397832*g**2 + 3568*g - 43
Let n(a) = a. Let p(s) = 1400*s + 32. Calculate n(p(w)).
1400*w + 32
Let l(k) = -10*k. Let h(v) = 303*v - 11. Give l(h(p)).
-3030*p + 110
Let k(c) = 3*c
|
{
"pile_set_name": "DM Mathematics"
}
|
r**18
Simplify ((w**9/w)/w**(-2/11))/(w**(-5)/(w/(w*w*w/(w/(w/w**(-2/41)*w*w)))*w)) assuming w is positive.
w**(4570/451)
Simplify y**(-2)*y**(-6/5)*y*y/(y**(1/7)/y)*y*(y*y**5*y)/y assuming y is positive.
y**(233/35)
Simplify (((w*w*w/w**4)/w)/w**(2/15))**22 assuming w is positive.
w**(-704/15)
Simplify ((q*q**(1/5))/q)/(q/(q*q/(q/(q**(5/2)/q)))) assuming q is positive.
q**(17/10)
Simplify (q/q**(-1/4))**(2/37)*q*q*q*q*q/((q/(q/q**(-1/3)*q*q*q)*q)/q)*q*q*q/(q*q**(-2/17)) assuming q is positive.
q**(39697/3774)
Simplify i**(1/4)/(i*i/i**(-12/7)*i) assuming i is positive.
i**(-125/28)
Simplify p/((((p/(p**(1/10)/p))/p)/p)/p*p)*p**(2/33) assuming p is positive.
p**(383/330)
Simplify (r**(-27/4))**44 assuming r is positive.
r**(-297)
Simplify (t*t*t**29/t)/(((t*t*t*t**(-2/9)*t*t*t)/t)/t) assuming t is positive.
t**(236/9)
Simplify (o**(2/5)/o)/(o/o**17) assuming o is positive.
o**(77/5)
Simplify (k**(-2/9))**39 assuming k is positive.
k**(-26/3)
Simplify (s**(1/3))**(6/11)/(s/s**(-3/2)*(s/(s*s**3))/s) assuming s is positive.
s**(37/22)
Simplify (n**(1/15)/n*n)/(n/(n*(n/(n/n**(-22)*n))/n)) assuming n is positive.
n**(-359/15)
Simplify h**12*h**(2/33) assuming h is positive.
h**(398/33)
Simplify g**(1/2)/g*g**(-1/6)*g**(-1/5)*g**(1/3)/g*g assuming g is positive.
g**(-8/15)
Simplify ((s/s**(-1/4))/s)/((s**(4/5)*s)/s) assuming s is positive.
s**(-11/20)
Simplify (j**(-2/23)*j**(-4))/(j**2*j*j**8) assuming j is positive.
j**(-347/23)
Simplify n*n*n/(n*((n*(n/n**(3/8))/n)/n)/n)*n*n*n/(n*n*(((n*n**(-1/5)/n)/n)/n)/n*n) assuming n is positive.
n**(263/40)
Simplify (y/y**1)**(-1/22) assuming y is positive.
1
Simplify p**(8/9)*p*p**(-19/2) assuming p is positive.
p**(-137/18)
Simplify y*y**(-6)*y/(((y*y/(y/((y/y**(-2/3)*y*y)/y*y)))/y)/y)*(y**0)**(-2/41) assuming y is positive.
y**(-20/3)
Simplify (x/((x*x**13*x)/x)*(x**2*x)/x*x)**(-1/14) assuming x is positive.
x**(5/7)
Simplify p**(-7)*p**(-5)*p*p*p**(7/2)*p/p**(2/3)*p assuming p is positive.
p**(-31/6)
Simplify f*f**22*(((f/f**(-18/5))/f)/f)/f assuming f is positive.
f**(123/5)
Simplify m**(3/8)/(m**(-3/14)/m) assuming m is positive.
m**(89/56)
Simplify (n/(n/(n**14*n)))/(n/n**(-7)) assuming n is positive.
n**7
Simplify (v*v**(-2))**(-3/32)/(v**(1/16)/v**(-2)) assuming v is positive.
v**(-63/32)
Simplify k**5/(k*k/(k**(4/5)/k*k)) assuming k is positive.
k**(19/5)
Simplify n**14*(n*(n/(n**21*n))/n)/n assuming n is positive.
n**(-8)
Simplify (t*t*t/((t**(1/3)/t)/t)*t)**(-1/20)*t*t**(-2)*t*t*t**(-2/7)/t assuming t is positive.
t**(-239/420)
Simplify (t**(-6)/t)**18 assuming t is positive.
t**(-126)
Simplify (((a/(a**(-6)/a*a)*a*a)/a)/a)/a**0 assuming a is positive.
a**7
Simplify p**3*p*p*p/p**(-41)*p assuming p is positive.
p**48
Simplify ((((y/(y*y**(-1)))/y)/y)/(y*y**(-2)))**2 assuming y is positive.
1
Simplify (q**(-1/3)*q*q)**30 assuming q is positive.
q**50
Simplify y*y/y**(-14)*y**(1/14)*y assuming y is positive.
y**(239/14)
Simplify ((((r*r**(3/7))/r)/r)/r*r**(-4))**34 assuming r is positive.
r**(-1326/7)
Simplify (t**5*t**(3/11))/((t**(2/9)/t)/t)**(2/107) assuming t is positive.
t**(56206/10593)
Simplify (x*x**1)**(-19)*((x/(x*x**(-3/2))*x)/x)/(x**(-5)/x) assuming x is positive.
x**(-61/2)
Simplify (m/(m*m/(m*m**(-1)))*m*m)**(-4)*(m**(-2/5))**(-9) assuming m is positive.
m**(-2/5)
Simplify ((c/(c**(-1/4)*c*c))/(c*c*c**(-11)))**(-18/5) assuming c is positive.
c**(-297/10)
Simplify ((v**0/v)**44)**(-22) assuming v is positive.
v**968
Simplify (d**(-3)/((d*d*d*d/(d/(d**1*d)))/d*d))**(-2/3) assuming d is positive.
d**(16/3)
Simplify b**(1/21)/b*b/(b**(-22)/b) assuming b is positive.
b**(484/21)
Simplify (m**5)**(-6/19) assuming m is positive.
m**(-30/19)
Simplify q*q/q**(-14)*q/(q*q**(28/9)*q) assuming q is positive.
q**(107/9)
Simplify i**(2/9)*i*i**12 assuming i is positive.
i**(119/9)
Simplify (l**(11/4)/l*l*l/(l*l/(l*l*l*l**(-8))))/(l**1/(((l/((l**(-2/23)*l)/l)*l)/l)/l)) assuming l is positive.
l**(-383/92)
Simplify q**(-12)/(q*q**(-6/5)) assuming q is positive.
q**(-59/5)
Simplify ((w**(-1/5))**32)**(-14) assuming w is positive.
w**(448/5)
Simplify (l**(1/49))**(27/4) assuming l is positive.
l**(27/196)
Simplify (u*u**2*u)**(-9)*((u*u/u**(2/15)*u*u*u)/u*u)/u**(2/17) assuming u is positive.
u**(-7969/255)
Simplify (g*g*g/g**(-3/5)*g**(-3/19))**(-25) assuming g is positive.
g**(-1635/19)
Simplify (l**(2/99)*l)/((l*l**(-4/29))/l) assuming l is positive.
l**(3325/2871)
Simplify w**(-7/4)/(w*w*w**(-1/4)*w)*(w*w/w**0)**(-23) assuming w is positive.
w**(-101/2)
Simplify (r/r**4)/(r*r**(2/21))*(r**(2/5)*r)**5 assuming r is positive.
r**(61/21)
Simplify (c**(-1/7)*(c*c**(2/5))/c)**(4/5) assuming c is positive.
c**(36/175)
Simplify p**(1/13)/(p**(-1/5)/p)*(p*p**(-7)*p)/p**1 assuming p is positive.
p**(-307/65)
Simplify ((b*b/(b/((((b*b**(2/7))/b)/b)/b))*b)/b*b)**26*b*b**(2/3)*b**(-1/5) assuming b is positive.
b**(934/105)
Simplify (t**1)**3*(t**(1/3))**(12/5) assuming t is positive.
t**(19/5)
Simplify ((((o*o**(1/4))/o)/o*o)**(2/47))**4 assuming o is positive.
o**(2/47)
Simplify (z**(-3)*z)/(z*z*(z/(z*z/(z*z*(z**(5/2)/z)/z)*z*z*z)*z)/z*z) assuming z is positive.
z**(-7/2)
Simplify (s**(-13)*s*s**(-3))**(-8/7) assuming s is positive.
s**(120/7)
Simplify ((v**0/v)**(-3/16))**(14/15) assuming v is positive.
v**(7/40)
Simplify (d/(d**0*d))**(-44)/((d**(1/5)/d)/((d/(d/(d*(d/(d/d**1))/d*d)*d))/d)) assuming d is positive.
d**(4/5)
Simplify (f/(f**14/f)*f)/f**9 assuming f is positive.
f**(-20)
Simplify (a**(-1/4)/(a**(-5/3)*a))/(a*a*a**(-2)*a)**(1/8) assuming a is positive.
a**(7/24)
Simplify (r**(-1/5)/(r*r**(9/5)/r))/(r**(1/6)/(r/(r/((r/r**2*r)/r)*r))) assuming r is positive.
r**(-25/6)
Simplify (y/((y/((y*y**12)/y*y))/y))**(3/5) assuming y is positive.
y**(42/5)
Simplify v**(-7)/(v/(v*(v**(-1/9)*v)/v)) assuming v is positive.
v**(-64/9)
Simplify ((p/((p/p**(-16))/p))/(p**(6/11)/p*p))**(9/5) assuming p is positive.
p**(-1539/55)
Simplify ((q*q**14)/q)/(q*q*(q/(q**(46/5)*q))/q) assuming q is positive.
q**(111/5)
Simplify ((d*d*d/((d*d*d**(-1/7)*d)/d))**9)**(-11) assuming d is positive.
d**(-792/7)
Simplify (w**1*w**(-2/5))**(-42) assuming w is positive.
w**(-126/5)
Simplify ((n/(n*n*(n*n**(-10)*n)/n*n))**(-46))**(-1/71) assuming n is positive.
n**(322/71)
Simplify y**6*y/(y/y**(-4))*((y/((y*y*y*y**(2/5)*y)/y))/y)**25 assuming y is positive.
y**(-83)
Simplify (z**(-1/5))**(-6)/((z**4*z*z*z*z)/(z/z**(1/12)*z*z*z)) assuming z is positive.
z**(-173/60)
Simplify (m**(-2/7)*m/(m**(-1)*m))**17 assuming m is positive.
m**(85/7)
Simplify ((((g/g**(-3/2))/g*g*g*g)/g)/g)/g**(27/7) assuming g is positive.
g**(-19/14)
Simplify (b/b**(-2)*b**(-1/4))**(4/11) assuming b is positive.
b
Simplify (c**(3/35))**(-1/28) assuming c is positive.
c**(-3/980)
Simplify t**30*t*t*t/((t**(-1/5)*t)/t) assuming t is positive.
t**(166/5)
Simplify (z**(-8)*z**8/z)**(-41) assuming z is positive.
z**41
Simplify ((o/(o/((o/o**(-1))/o))*o)/(o**(-4/9)*o))/(((o*((o/o**(-1/4)*o*o)/o)/o)/o*o)/o*o)**(-1/19) assuming o is positive.
o**(1069/684)
Simplify (o*o**4)/(o/(o**(-7/4)*o)) assuming o is positive.
o**(13/4)
Simplify (u**(-7/6)/u)**(-40) assuming u is positive.
u**(260/3)
Simplify l**(-2/25)/(l/(l*l**(3/5)))*l*(l*l**(-6))/l*l*l**(1/6) assuming l is positive.
l**(-497/150)
Simplify (h/(h**0/h))**17/((h/h**6*h)/((h*h*h**6)/h)) assuming h is positive.
h**45
Simplify (j**(-8/7)*j*j**8*j)/(j**(-2))**(2/63) assuming j is positive.
j**(562/63)
Simplify (k**(-1))**(-21) assuming k is positive.
k**21
Simplify ((y**0*y)/y)**(-15)*y**(-2/7)*y*y**(-3/5) assuming y is positive.
y**(4/35)
Simplify (a*a**(-2/3))**(-7/4)*a**(5/4)*(a**(3/4)*a)/a assuming a is positive.
a**(17/12)
Simplify n*n/(n*n**(39/4))*n*n*n**(-9) assuming n is positive.
n**(-63/4)
Simplify i**(-6)*i**(-6)*(i/(i*i*i/(i*(i/i**(-1/4)*i)/i)))**(-10) assuming i is positive.
i**(-29/2)
Simplify (y**(1/2))**(-1/5)/(y**0/(y/(y**(-6)*y))) assuming y is positive.
y**(59/10)
Simplify (l*l/(l/(l**(-1/3)*l)))**(-2)/(l**(-2/7)*l/l**4) assuming l is positive.
l**(-1/21)
Simplify (i/((i*(i*i*i*i/((i/i**(1/4))/i))/i*i)/i*i))**(-44)/(i**(-2)/i)**(2/3) assuming i is positive.
i**189
Simplify y/y**38*y*y**34/y assuming y is positive.
y**(-3)
Simplify k/(((k**(-1/10)*k)/k)/k)*((k/k**(8/9))/k)/k assuming k is posi
|
{
"pile_set_name": "DM Mathematics"
}
|
pose -x + 112 = t*x. What is the units digit of x?
8
Let a(b) be the second derivative of -b**3/3 - 9*b**2/2 + 6*b. Let c be a(-10). Suppose p - 13 = c. What is the tens digit of p?
2
Suppose -2*r - 2*w + 974 = -3*w, 1936 = 4*r + w. Suppose 5*s + q - r = 0, -2*s + 97 = -s + q. What is the units digit of s?
7
Let v(z) = z + 14. Let n be v(-10). Suppose -6*h = -3*h - 9, -4*h + 12 = n*j. Suppose y - 2*r - 12 = 0, j = 2*r - r + 2. What is the units digit of y?
8
Suppose 6*w + 5698 = 20*w. What is the units digit of w?
7
Suppose -p - 638 = -0*q - q, -4*p = 4*q - 2544. What is the tens digit of q?
3
Let u = -40 - -57. Suppose -53 + u = -n. What is the units digit of n?
6
Suppose -34632 + 268 = -22*v. What is the hundreds digit of v?
5
Suppose 3*i - 1 = 5. Suppose -u - 5*v = i, 5*u + 57 = 2*v + 155. What is the tens digit of u?
1
Let h = 101 - 32. Let j = h + 48. What is the tens digit of j?
1
Let l be 2/6 - (-759)/(-9) - 3. What is the tens digit of (l/2)/(4/(-8))?
8
Suppose -236 - 336 = -d + q, -5*d = -4*q - 2864. What is the tens digit of d?
7
Let p(y) = y**2 + 3*y + 2. Suppose -n - 3*i = 9, 8*n - 5*n + 2*i + 20 = 0. Let o be p(n). Suppose -o = -5*d + 45. What is the tens digit of d?
1
Let q = 4926 + -2997. What is the units digit of q?
9
Let y = -287 - -311. What is the tens digit of y?
2
Suppose -d + 2*u = -3*d + 564, 850 = 3*d + 2*u. Suppose -d = -5*y + 79. What is the units digit of y?
3
What is the units digit of 34468/20 - ((-14)/(-10) - 1)?
3
Suppose -4*k = 4*o - 36, -3*k = -0*k - 4*o + 8. What is the units digit of (42/k)/(63/84)?
4
What is the hundreds digit of ((-633)/(-6))/(-1)*-2?
2
Suppose 0 = -4*v + 3*o - 171, -v + 2*o - o - 44 = 0. Let l = v - -84. What is the tens digit of l?
4
Suppose 0 = 4*v + 9 - 21. Suppose 4*q - 105 = q - v*d, -141 = -4*q - 5*d. What is the tens digit of q?
3
Let r = 73 - 34. Let s = r - 5. Suppose -12 = 2*n - s. What is the units digit of n?
1
Let x = -1 - -3. Let l be (0 + (-21)/x)*-2. Suppose 4*z - l = -o + 5, -27 = -5*z - 4*o. What is the units digit of z?
7
Suppose -2*p = 9*p - 55. Suppose 907 = p*n + 17. What is the units digit of n?
8
Suppose -4*w = -2 - 2. What is the tens digit of 37*((w - 4) + 4)?
3
Let m(o) be the second derivative of -o**5/20 + 5*o**4/12 + o**3/6 - 9*o**2/2 + 22*o. What is the units digit of m(4)?
1
Suppose -2*p = 3*p - 15. Suppose p*u - 14 = -2. What is the tens digit of u*(9/2 - 2)?
1
Suppose 3*r = -r + 3*m + 6, 13 = 3*r + 2*m. Suppose 2*n - 5*z = 203, -r*z - z = 20. Suppose -2*o = 3*q - 4*o - n, q - 37 = -3*o. What is the tens digit of q?
3
Let l = 15 + -12. Suppose -l*f - 3*z + 114 = 0, 4*f - 3*z - 167 = -2*z. What is the tens digit of f?
4
Suppose 10 + 0 = 5*l, -l + 292 = c. Suppose 4*d - 305 = d + p, 3*d + 2*p = c. What is the hundreds digit of d?
1
Let x = 222 - 116. Suppose -2 - x = -c. What is the hundreds digit of c?
1
Let i = 5369 - 2778. What is the thousands digit of i?
2
Suppose -21*n + 16*n = -1385. Suppose -5*x - 46 = -r + 40, 3*r + 4*x = n. What is the tens digit of r?
9
Let u(q) = -3*q**3 + 4*q**2 + 2*q**3 + 4*q + 7 - 2*q**3 - 3. Let n be u(4). What is the units digit of (-4)/8 - n/8?
3
Let q(c) = c**3 - 10*c**2 - 24*c + 5. Let t be q(12). Suppose -10*w = -t*w - 1340. What is the units digit of w?
8
Let l = -88 + 65. Let y = l + 37. What is the units digit of y?
4
Let j(c) = 507*c + 12. What is the tens digit of j(2)?
2
Let d be (22/(-4))/((-2)/(-4)). Let m = d - -18. Let k = m - 3. What is the units digit of k?
4
Let f = 1508 - 1088. What is the tens digit of f?
2
Let x(c) = 3*c**2 - 2*c + 1. Let f be x(1). Suppose -o - f*o + 15 = 0. Suppose -3*q - r = -20, q + o*r + 4 - 6 = 0. What is the units digit of q?
7
Let p = 22 + -8. What is the units digit of (-6)/21 + 88/p?
6
Let y(l) = 446*l**2 - 17*l + 16. What is the hundreds digit of y(1)?
4
Let y(w) be the first derivative of w - 8 - 19/2*w**4 + 1/2*w**2 + 0*w**3. What is the tens digit of y(-1)?
3
What is the hundreds digit of 342/(-12)*208/(-3)?
9
Let v = -8 - -10. Let l(o) = v*o - 13 + 31 - 17. What is the units digit of l(6)?
3
Let p(m) be the first derivative of 2*m**3/3 - 12*m - 1. Let f = -272 + 266. What is the units digit of p(f)?
0
Suppose -2*s + 0*s = 0. Suppose 2*g = -s*g - 8. What is the tens digit of -45*g/6*1?
3
Suppose 6 = -0*y + 2*y. Suppose 0 = -0*f + y*f. What is the tens digit of 6/4*(f - -36)?
5
Let v be (-8)/6*(-8 + 5). Suppose v*z + z = -65. Let r = -6 - z. What is the units digit of r?
7
Let m be ((-1)/(5/(-8)))/((-4)/(-1190)). Suppose -5*d = 4*y - m, -4*d + 389 = -y - 4*y. What is the tens digit of d?
9
Suppose 47*b - 28400 = 31*b. What is the hundreds digit of b?
7
Let p(v) = v + 7*v + 10 - 7*v. Let g be p(-6). Suppose g*t = 9 + 47. What is the tens digit of t?
1
Let j(m) = m + 1. Let s be j(-9). What is the units digit of s/14 - (-1743)/49?
5
Let y(p) = 54*p**2 + 2*p + 2. Let i be (-4)/12*-6*-2. Let m be 18/24 - (-7)/i. What is the tens digit of y(m)?
5
Suppose 2*b - 18 = 2*k, -9*k = -5*b - 7*k + 39. Suppose 4*r = -4*t + 724, b*t - 6 = 4*t. What is the hundreds digit of r?
1
Suppose 8*r - 6*r = 274. Let y = r + -72. What is the units digit of y?
5
Let w(c) = c**3 - 9*c**2 + 4*c - 16. Let x be w(9). Let o = x + -19. What is the units digit of o?
1
Let c = 4 - 4. Let m be c + (-8)/(-4) - 5. What is the units digit of m + 3/(-2)*-26?
6
Suppose -4*b - 7 + 23 = 0. Suppose 4*r - 106 = -5*n + 28, 2*n - 48 = b*r. Let g = n - 10. What is the tens digit of g?
1
Let u(t) = -40*t + 144. What is the tens digit of u(-11)?
8
Let b(w) = w**3 + 8*w**2 - 9*w. Suppose 5*p + 0*p + 45 = 0. Let t be b(p). Suppose k - 21 = -t*k. What is the tens digit of k?
2
Let c be (-1)/(1 + (-48)/45). Suppose -j - c = 2*j. Let f = j + 8. What is the units digit of f?
3
Let n be -56 - (-2 + 3)*-1. Let a = -177 + 273. Let u = n + a. What is the tens digit of u?
4
Suppose 651 + 717 = 5*z + 2*w, -2*z - w = -548. Suppose -3*y + m - 2*m = -z, m = 2*y - 183. What is the tens digit of y?
9
Let w(v) = -v + 4. Let a be w(4). Let z be a/((-16)/4) + 39. Suppose 5*i = 21 + z. What is the units digit of i?
2
Suppose -101*b = -106*b. Suppose 33 = -b*m + 3*m. What is the units digit of m?
1
Suppose -3 + 25 = -2*o. Let i(v) = -v**2 + v + 11. Let h be i(5). Let p = h - o. What is the units digit of p?
2
What is the units digit of (12775/15 - -1) + (-18)/27?
2
Suppose -3*i + 110 = -3*b - 337, -4*i = -5*b - 594. Suppose -2*n = x - 3*x + 160, -2*x + i = n. What is the units digit of x?
7
Suppose -13 = -5*d + 22. Let g(r) = -5*r + 4 + 0*r - d + 15*r. What is the tens digit of g(3)?
2
Suppose -2*i + 165 = -3*i - 2*g, 4*g - 648 = 4*i. Let f = 358 + i. What is the tens digit of f?
9
Let m(s) = s + 1. Let b(q) = -13*q + 1. Let l(n) = b(n) - 6*m(n). What is the tens digit of l(-4)?
7
Suppose -y + 3*a + 242 = -552, 2*a - 1604 = -2*y. Let k be (((-20)/2)/2)/(-1). What is the tens digit of ((-2)/(-5))/(k/y)?
6
Suppose -26 = -3*a - 5*g, 4*a + 4 = 2*g + g. Suppose -v - a*v = s - 85, v - 93 = -s. What is the tens digit of s?
9
Suppose -9*k - 93 = -21. Let z(s) = s**2 + 4*s - 18. What is the units digit of z(k)?
4
Let d = 1122 + 1299. What is the units digit of d?
1
Let s(y) = -10*y + 382. What is the units digit of s(18)?
2
Let i = -5 - -8. Suppose -d + 0 = -i. What is the tens digit of d/((-93)/(-84) + -1)?
2
Let z be (-15)/(-15) - (1 + -8). Suppose -1 = h - z. What is the units digit of h?
7
Let n(t) = 9*t**2 - 43*t + 155. What is the tens digit of n(10)?
2
Let o = -668 + 1312. What is the hundreds digit of o?
6
Let u = -431 - -1066. What is the units digit of u?
5
Suppose 4*l + 37 - 117 = 0. Let f be l/(-3)*90/(-24). Suppose 5*b - 25 = f. What is the units digit of b?
0
Let m = 818 - 371. What is the hundreds digit of m?
4
Let r be 162/21 + 4/14. Suppose -r = -4*z, 2*g = -g - 4*z - 64. Let n = g - -92. What is the units digit of n?
8
Let d = -76 - -34. Let h be ((-36)/d)/(2/14). Suppose -4*m = -h - 186. What is the units digit of m?
8
Suppose -p - 5340 = -2*j + p, 10*p - 5364 = -2*j. What is the units digit of j?
2
Suppose 452 + 76 = 3*a. Suppose r + 2*p - a = 0, -r - 759 = -5*r + 3*p. What is the units digit of r?
6
Let y = 388 + 553. What is the tens digit of y?
4
Suppose -4 = c + 3*z, -z + 4*z + 9 = 0. Suppose c*o - 6 + 1 = 0. Suppose 0 = -k -
|
{
"pile_set_name": "DM Mathematics"
}
|
be -5*4*(-3)/(-15). Let b(p) = f*o(p) + m(p). What is the third derivative of b(a) wrt a?
120*a**3
Let m(y) = -y**4 + y**3. Let x(o) = -31*o**4 - 3*o**3 + 13*o**2. Let f(j) = -3*m(j) - x(j). What is the third derivative of f(w) wrt w?
816*w
Let t(p) be the first derivative of 0*p + 9/2*p**2 - 5 + 2*p**3. What is the second derivative of t(w) wrt w?
12
Let q(u) be the second derivative of -u**9/5040 - u**6/360 - u**4/6 + u. Let a(p) be the third derivative of q(p). Find the second derivative of a(t) wrt t.
-36*t**2
Let y(q) = -6*q**2 - 3. Let o be (1 + 0)/1 - -1. Let z(v) = -o*v**2 + 1 - 5 + 3. Let n(p) = 2*y(p) - 7*z(p). What is the derivative of n(h) wrt h?
4*h
Let s = 4 - 4. Find the first derivative of 0 + 2 + s - 3*l**4 wrt l.
-12*l**3
Let r(i) = -i**2 + i. Let t(y) = -13*y**2 - 20*y. Let j(f) = -r(f) - t(f). Find the second derivative of j(h) wrt h.
28
Let h(f) = -f**3 - f. Let g(n) = -9*n**3 - 12*n - 8. Let c(w) = g(w) - 6*h(w). Let i(l) be the first derivative of c(l). Differentiate i(a) wrt a.
-18*a
What is the third derivative of 21*x**2 - 14*x**2 - x**6 + 41*x**6 wrt x?
4800*x**3
What is the second derivative of -9*z**5 - 19*z + z - 8*z wrt z?
-180*z**3
What is the second derivative of 13*s - 70*s**3 - 10*s + 22*s + 83*s**3 wrt s?
78*s
Suppose 2*o - 4 = o. What is the third derivative of 3 + n**o + 2*n**2 + 0*n**4 - 3 wrt n?
24*n
Let f(s) = s**4 + s**3 - 1. Let n(a) = -6*a**4 - 5*a**3 - 4*a**2 + 5. Let b(z) = -10*f(z) - 2*n(z). Find the third derivative of b(q) wrt q.
48*q
Let p(o) be the second derivative of o**6/15 + 5*o**2/2 + 6*o. Differentiate p(q) with respect to q.
8*q**3
Let h(s) = -s**2 + 2 + 0*s + s - 2*s. Let p be h(0). What is the first derivative of -8*o**2 - 2*o**4 + 8*o**p + 2 wrt o?
-8*o**3
Let a(r) = -r**2 - 7*r. Let v(n) = 19*n + 3*n**2 + 0*n**2 + n. Let b = -3 - -9. Let m(c) = b*v(c) + 17*a(c). Find the second derivative of m(k) wrt k.
2
Let m(r) be the second derivative of 0*r**2 + 7*r - 5/6*r**3 + 0 - 1/6*r**4. Find the second derivative of m(z) wrt z.
-4
Suppose -6*y + 8 = -2*y. Differentiate 6 + y*v - 3*v - 5 with respect to v.
-1
Let r(d) be the first derivative of 0*d**3 + 1/2*d**2 + 0*d + 7 + 3/4*d**4. Find the second derivative of r(j) wrt j.
18*j
Find the second derivative of -5*w + 0*w**4 + 6*w**4 + 0*w**4 - 2*w wrt w.
72*w**2
Let j(t) be the first derivative of 19*t**5/5 + 5*t + 15. Differentiate j(p) wrt p.
76*p**3
Let v(l) = -l**2 + l + 1. Let h be (-5 - -3) + 0/1. Let k(q) = 2*q + 3. Let m(z) = h*v(z) + k(z). What is the derivative of m(w) wrt w?
4*w
Let x(j) = -28*j**3 + 16*j**2. Let n(p) = 9*p**3 - 5*p**2. Let q(b) = -7*n(b) - 2*x(b). Find the third derivative of q(u) wrt u.
-42
Let l be 6/(-4)*(-8)/6. Suppose 22 = 7*y - 6. Find the third derivative of -6*a**l + 2*a**6 - a**6 - 2*a**6 + y*a**2 wrt a.
-120*a**3
What is the first derivative of -115 - 13*o + 0*o + 104 wrt o?
-13
Find the third derivative of 21*w**2 + 8*w**3 - 8*w**3 - 41*w**6 - 9*w**6 wrt w.
-6000*w**3
Let o = 1/7 - -5/14. Let z(t) be the second derivative of o*t**2 + t + 0*t**3 + 0 - 1/6*t**4. Differentiate z(g) with respect to g.
-4*g
Let u(c) = -c**2 - 13*c - 7. Let s be u(-12). What is the second derivative of -5*d**s - 10*d - 2*d**5 + 12*d wrt d?
-140*d**3
Suppose -5 = 2*c + o, -4*o - o - 25 = -4*c. Suppose c*v = 3*v - 12. Find the second derivative of 3*a - 3*a**v - a + a**4 wrt a.
-24*a**2
What is the second derivative of -23*b**3 - b**5 + 12*b**3 + 11*b**3 - 3*b wrt b?
-20*b**3
Find the first derivative of 6 + 0 + 9 + 12*b**2 - 4 wrt b.
24*b
Let d(u) = -9*u**4 - 21*u**2 - 5. Let k(p) = -9*p**4 - 22*p**2 - 4. Let a(v) = 4*d(v) - 5*k(v). Find the third derivative of a(o) wrt o.
216*o
What is the derivative of 6 - 6 - 5 - 4*o**2 - 11 wrt o?
-8*o
Differentiate -5*y**4 - 212 - 233 + 428 with respect to y.
-20*y**3
Let z(g) = g - 1 - 2*g - 5*g. Let p be z(-1). What is the second derivative of b**5 + b - p*b + 3*b wrt b?
20*b**3
Let i(j) = j**2 + 6*j - 4. Let c be i(-7). Differentiate -12*r + 4*r + 8*r - r**2 - c with respect to r.
-2*r
Let s(p) be the third derivative of p**8/28 - 13*p**5/60 + 2*p**2. Find the third derivative of s(g) wrt g.
720*g**2
Differentiate 4 - 4*f + 0*f - 8*f + 4 wrt f.
-12
Find the first derivative of 13*w**2 + 6 + 12 + 10 wrt w.
26*w
Suppose 6*s = s. Let f(c) be the second derivative of -1/6*c**3 + s - c - c**2. What is the first derivative of f(p) wrt p?
-1
Let j(b) be the first derivative of -17*b**3/3 - 41*b**2/2 - 29. What is the second derivative of j(l) wrt l?
-34
Let r(y) = -y**3 - 3*y**2 - 2*y - 4. Let c be r(-3). What is the second derivative of 5 - 5 - 2*d**4 - c*d wrt d?
-24*d**2
Let n(z) be the second derivative of -z**8/84 + z**4/8 + z**2 + 3*z. Let j(v) be the first derivative of n(v). What is the second derivative of j(b) wrt b?
-80*b**3
Let x(q) = -8*q**2. Suppose -15 = -4*k + 9. Let c(m) = -m**4 - m**2. Let n(s) = k*c(s) - x(s). Find the third derivative of n(l) wrt l.
-144*l
What is the third derivative of -2*j**6 - 27*j**3 + 27*j**3 - 3*j**2 wrt j?
-240*j**3
Let r(o) = 3*o + 31. Let z be r(-9). Let b(i) be the first derivative of 2 - i**2 + 0*i**3 + 3/4*i**z + 0*i. What is the second derivative of b(g) wrt g?
18*g
Let x(j) be the second derivative of 5/12*j**4 + 0*j**6 + 0*j**3 + 2/21*j**7 + 0 - 2*j + 0*j**2 + 0*j**5. What is the third derivative of x(n) wrt n?
240*n**2
Let j(v) = -v**3 + 9*v**2 - 4. Let t be j(9). Let l = -2 - t. Find the third derivative of s**5 + 2*s**l + s**5 + 2*s**5 wrt s.
240*s**2
Let h = -3 - -5. What is the third derivative of -t**2 - 7*t**h + 5*t**6 + 3*t**6 + 2*t**2 wrt t?
960*t**3
Let s(f) = f**2 + 8*f - 12. Let p be s(-10). Find the second derivative of -k**5 - 3*k - k**5 + p*k wrt k.
-40*k**3
Let s be -2*(2 + (-51)/6). Suppose 4*q + 18 = -2*a, 0 = -2*a + 5*a - 2*q - s. What is the second derivative of 1 + 0 + 4*r**3 + 4*r - a wrt r?
24*r
Let u(f) be the second derivative of -7*f**5/20 + f**3/6 + 9*f. What is the second derivative of u(s) wrt s?
-42*s
Suppose 4*a - 13 = q, 5*a + 0*a = 2*q + 20. Find the second derivative of -a*i**5 + 5*i**5 + 3*i + 2*i**5 - 3*i**5 wrt i.
40*i**3
Let p(t) be the third derivative of 7*t**6/30 - 17*t**4/24 + 23*t**2. What is the second derivative of p(m) wrt m?
168*m
Let j(r) = 29*r**3 + 6*r**2 - 19*r + 6. Let w(i) = -29*i**3 - 5*i**2 + 18*i - 5. Let h(m) = 5*j(m) + 6*w(m). What is the second derivative of h(a) wrt a?
-174*a
Let k(r) = r**4 + r**3 + r. Let z(l) = l**4 + 4*l**3 - 11*l**2 + 4*l. Let n(m) = 4*k(m) - z(m). What is the third derivative of n(j) wrt j?
72*j
Let b(x) = -2*x - 5. Let p(q) = -3*q - 6. Let z(i) = -4*b(i) + 3*p(i). Let t be z(-2). What is the second derivative of -3*o**4 - 2*o + 2*o**4 + 2*o**t wrt o?
12*o**2
What is the third derivative of p**2 + 85 + p**2 - 43 - 47 - 35*p**6 wrt p?
-4200*p**3
Let q = -40 - -44. Suppose 5*h - 3 - 7 = 0. Find the first derivative of 4 - 1 + 1 - 4*c**q - h wrt c.
-16*c**3
Suppose 2 = 4*a - 3*j, -2*a - 2 = -j - 4. Find the third derivative of -7*d**2 - 3*d**3 + 3*d**3 + 2*d**a - 2*d**4 wrt d.
-48*d
Suppose 0 = -4*r - r + 25. Let i be (-2)/(-3) - (-104)/24. Find the third derivative of 2*d**2 + 0*d**2 - 2*d**r - d**5 - i*d**2 wrt d.
-180*d**2
Let t(s) = -s - 1. Let u(i) = 4*i**3 - 5 + 0*i**2 + i**2 - 2*i - 3*i. Let d(w) = -5*t(w) + u(w). What is the third derivative of d(f) wrt f?
24
Let p(f) be the first derivative of f**5 + 4*f**3/3 + 8. What is the third derivative of p(l) wrt l?
120*l
Let z(a) = a + 14. Let j be z(-10). What is the derivative of 5*h**2 + 2*h**2 - 6*h**2 + 2 - j*h**2 wrt h?
-6*h
Let h(i) be the second derivative of 7*i**5/5 + 35*i**4/12 - 58*i. Find the third derivative of h(l) wrt l.
168
Let d(l) = 84*l + 79. Let c(i) = -17*i - 16. Let m(y) = -11*c(y) - 2*d(y). What is the first derivative of m(n) wrt n?
19
Suppose 2*k + 180 = -2*k. Let i be k/(-12) + (-3)/(-12). What is the second derivative of -4 + l**i - 2*l + 4 wrt l?
12*l**2
Let n(d) be the first derivative of -d**5/5 + d**3/3 - 4*d + 4. Let a(p) be the first derivative of n(p). Find the second derivative of a(b) wrt b.
-24*b
Let i = -4 + 6. Find the second derivative of 6*q - 2*q**i - 2*q + q**2 wrt q.
-2
Let d(w) = w**3 - 4*w**2 + 3*w + 3. Let i be d(3). Find the second derivative of v - i*v**
|
{
"pile_set_name": "DM Mathematics"
}
|
Let h(n) = 11*n - 6*n + 4*n**2 - 5*n. Determine t(h(w)).
68*w**2
Let c(r) be the first derivative of -r**3/3 - 41. Let t(n) = -20*n - 3. Determine c(t(s)).
-400*s**2 - 120*s - 9
Let v(t) be the third derivative of 0 + t**2 + 0*t + 3/8*t**4 + 0*t**3. Let z(g) = -6*g + 6*g - g + g + g**2. Determine v(z(f)).
9*f**2
Let a(b) = -4*b. Let n = 609 + -609. Let x(y) be the first derivative of 0*y + 3 + n*y**2 + 2/3*y**3. What is a(x(f))?
-8*f**2
Let q(k) = 12*k + 48. Let b(a) = 1. Let g(j) = -48*b(j) + q(j). Let x(i) = -i + 6. Let d be x(3). Let f(l) = d*l**2 - 4*l**2 + 2 - 2. What is f(g(z))?
-144*z**2
Let z(v) = -v**2 - 27*v - 5. Let n be z(-25). Let b(a) = -50*a - n*a + 98*a. Let h(w) = w**2. Calculate b(h(q)).
3*q**2
Let c(l) be the second derivative of -4*l**5/5 + 9*l**2/2 + 9*l. Let m(n) be the first derivative of c(n). Let t(a) = 2*a. Give t(m(v)).
-96*v**2
Let q(k) = 492*k**2. Let o(g) = -3*g**2. Give q(o(h)).
4428*h**4
Let m(h) = -4*h + h + 4*h. Let w(r) be the second derivative of 2*r - 1/3*r**3 + 0*r**2 + 0. Calculate w(m(s)).
-2*s
Let v(o) = -7*o. Let c(a) be the third derivative of a**8/20160 - a**5/12 - 12*a**2. Let x(z) be the third derivative of c(z). Give v(x(t)).
-7*t**2
Suppose -2*j + 3*j = 5. Let l(z) = 6*z**2 - j*z**2 + z**2. Let b(r) = r**2 + 6*r. Let m(o) = o**2 + o. Let x(y) = -b(y) + 6*m(y). Determine l(x(q)).
50*q**4
Let f(k) = 7253*k. Let b(p) = p. What is f(b(g))?
7253*g
Let w(a) = 0*a + 282 + 0*a - 282 - 2*a. Let q(c) = -17*c - 3. What is w(q(m))?
34*m + 6
Let f(g) = -2*g**2 + g + 1. Let q(d) = -d**2 - d - 1. Let i(z) = f(z) + q(z). Let u(h) = -29*h. Give u(i(t)).
87*t**2
Let k(w) = 2*w**2. Let a be (1*(-18)/6 + 2)*-4. Let i(h) be the third derivative of 5*h**2 + 0*h**3 + 0 - 1/4*h**a + 0*h. Give i(k(y)).
-12*y**2
Let t(u) = -u**2 - 707*u. Let h(z) = 33*z. Give h(t(s)).
-33*s**2 - 23331*s
Let z(a) = -83*a - 5. Let t(o) = 16*o + 1. Let c(d) = -11*t(d) - 2*z(d). Let p(q) = 2*q**2. Calculate c(p(i)).
-20*i**2 - 1
Let h(k) = -2*k + 5. Let f = 1 - 2. Let v = -4 + f. Let y(u) = 1. Let j(g) = v*y(g) + h(g). Let i(r) = -11*r**2. What is i(j(l))?
-44*l**2
Let y(s) = -187*s + 11. Let p(k) = 12*k + 5. Determine p(y(h)).
-2244*h + 137
Let g(i) be the first derivative of 7*i**2/2 + 2. Suppose -4*x - x = -35. Let p(w) = 5*w - 15*w + x*w + 4*w. What is g(p(h))?
7*h
Let g = 32 + -9. Let b(n) = 15 + 3*n**2 - g + 8. Let i(k) be the first derivative of 2*k**3/3 - 1. What is b(i(x))?
12*x**4
Let o(k) = -k. Let s(b) = -16*b - 7. Let p be -2 - -5 - (5 - 4). Let l(j) = -5*j - 2. Let z(i) = p*s(i) - 7*l(i). Calculate z(o(g)).
-3*g
Let x(i) = 2*i + 12. Let p(s) = 25*s + 27. Calculate x(p(a)).
50*a + 66
Let w(b) = -4*b + 7*b + 6*b. Let d(o) = 7*o + 9. Let z(h) = -6 + 85*h + 2 - 88*h. Let u(y) = 4*d(y) + 9*z(y). What is w(u(q))?
9*q
Let x be 2/4 - (-75)/6. Let m(d) = 4*d**2 - 13*d + x*d. Let y(l) = 6*l**2. Give y(m(z)).
96*z**4
Let t(n) = -n. Let r(f) = 483675*f. Give t(r(i)).
-483675*i
Let s(f) = 3*f. Let g(h) be the third derivative of -h**5/30 + 31*h**3/6 + 3*h**2 - 10. Calculate s(g(x)).
-6*x**2 + 93
Let m(n) = -6407*n. Let u(r) = 58*r**2. Calculate u(m(c)).
2380879642*c**2
Let o(g) be the third derivative of -2*g**5/15 - 2*g**2 - 32*g. Let v(f) be the third derivative of -f**4/6 - 3*f**2. Give o(v(x)).
-128*x**2
Let x = 36 + -34. Let c(u) = -6*u**2 + 0*u**2 + 2*u**2 + x*u**2. Let v(b) = -b + 34. Give v(c(f)).
2*f**2 + 34
Let z(v) = -v - 397 + 397. Let m(r) = -81*r. Give z(m(u)).
81*u
Let t(z) = -z**2 - 6*z. Let y(q) = -26*q - 7. Give t(y(x)).
-676*x**2 - 208*x - 7
Suppose 1 = 3*w - 20. Let q(r) = -4*r + w*r - r. Let c(l) = 14*l. Calculate q(c(n)).
28*n
Let k(g) = -66*g**2. Let h(l) be the third derivative of 0 - 1/24*l**4 + 0*l + 0*l**3 - 13*l**2. Determine h(k(w)).
66*w**2
Let m(v) = 49*v - 5*v**2 - 49*v. Let r(o) be the first derivative of 4*o**3/3 + 11. Calculate r(m(p)).
100*p**4
Let r(v) = -v**2. Let t(n) = -4*n**2 - 3*n - 511. Determine t(r(h)).
-4*h**4 + 3*h**2 - 511
Let s(q) be the third derivative of -q**4/6 + 6*q**3 + 8*q**2 - 10. Let z(f) = 2*f**2. Determine s(z(b)).
-8*b**2 + 36
Let k(m) be the third derivative of -29*m**5/60 + 5*m**2 - 2*m. Let q(w) = w. Calculate k(q(s)).
-29*s**2
Let v(s) be the first derivative of s**6/120 - 2*s**3/3 + 16. Let z(o) be the third derivative of v(o). Let x(u) = u**2. What is x(z(r))?
9*r**4
Let m(i) = i**2. Let f(b) = 1315*b. What is m(f(d))?
1729225*d**2
Let f(a) = 19*a**2. Let y(k) = -3*k + 6*k - 5*k + 11*k. Let q(j) = -4*j. Let h(s) = -7*q(s) - 3*y(s). Determine f(h(d)).
19*d**2
Let f(p) be the first derivative of -2*p**2 + 1 - 18 + 4*p**2 + 0*p**2. Let h(o) = -4*o. Determine h(f(x)).
-16*x
Let x(r) = 181*r**2 + 7*r + 2. Let w be x(-1). Let p(o) = -221*o + 432*o - w*o. Let t(i) = -2*i. What is p(t(z))?
-70*z
Let p(d) = -14*d**2. Let m(b) = 5*b**2. Let z(j) = -17*m(j) - 6*p(j). Let v(l) = 0*l**2 - 7*l**2 + 9*l**2 + 3*l**2. What is v(z(u))?
5*u**4
Let s(d) = -19*d**2 - 2. Let x(f) = 20*f + 2. Let v(z) = 109*z + 11. Let o(g) = 2*v(g) - 11*x(g). Determine s(o(p)).
-76*p**2 - 2
Let t(m) = m - 195. Let v(k) = 23*k + 7. Determine v(t(i)).
23*i - 4478
Let a(f) be the second derivative of -f**7/2520 - f**4/4 + 23*f. Let q(k) be the third derivative of a(k). Let s(j) = 2*j**2. Calculate q(s(l)).
-4*l**4
Suppose 5*h - 14 = 1. Let o(f) = -7*f**2 + h*f**2 + 4*f**2 + 2*f**2. Let z(l) = 8*l**2. Give o(z(u)).
128*u**4
Let x(y) = -4*y. Let u(f) = 690014*f. Determine x(u(b)).
-2760056*b
Let h(j) = -j**2 - 1. Let i(b) = -20*b**2 - 15. Let o(z) = -15*h(z) + i(z). Let m(k) = -26*k - 16*k + 3*k**2 + 64*k - 22*k. Calculate o(m(q)).
-45*q**4
Let l(c) = -7*c**2 - c + c. Let q(n) = -2. Let p(m) = m**2 - 3. Let z(r) = -2*r - 13. Let f be z(-8). Let j(w) = f*q(w) - 2*p(w). Calculate l(j(t)).
-28*t**4
Let r(m) = 2*m**2 - 5*m - 5. Let q(t) = -8*t**2 + 16*t + 16. Let h(b) = 5*q(b) + 16*r(b). Let u(v) = 8*v**2. Give u(h(p)).
512*p**4
Let y(u) = 4*u**2 - 8*u + 4. Let j(i) = 2*i - 1. Let b(d) = -12*j(d) - 3*y(d). Let m(k) = -6*k**2. Calculate b(m(f)).
-432*f**4
Let f(v) = 2*v. Let p be (-20)/25 - (-4)/5. Let h be 50*(-1 + p)/(-2). Let x(u) = 6*u + 42 - h - 17. Give f(x(a)).
12*a
Let q(w) = 74*w - 135*w + 70*w. Let d(a) = 9*a. Determine d(q(z)).
81*z
Let z(j) = -4*j**2. Let s(b) = 29*b**2 + 5. Let k(y) = 31*y**2 + 6. Let i(h) = 5*k(h) - 6*s(h). What is z(i(f))?
-1444*f**4
Let w(f) = 5*f. Let j(b) be the second derivative of 0*b**2 - 2*b + 0 + 1/2*b**3. Determine w(j(h)).
15*h
Let w(k) = -2*k**2. Let g(m) be the second derivative of 0*m**2 + 1/4*m**4 + 0*m**3 + 0 + 10*m. Calculate g(w(z)).
12*z**4
Let z(r) be the first derivative of -r**3/3 - 1. Let h(t) = -312*t**2 - 306*t**2 + 620*t**2. Give h(z(g)).
2*g**4
Suppose 2*d - d + 37 = 4*t, 73 = -4*d + t. Let n = d + 25. Let g(j) = n*j - 7*j - 2*j. Let s(x) = -4*x. Calculate g(s(f)).
4*f
Let u(c) = 2*c. Let d(s) be the first derivative of -7*s - 2 - 5/3*s**4 + 0*s**3 + 0*s**2. Let q(n) be the first derivative of d(n). Determine u(q(y)).
-40*y**2
Let r(p) = -73*p. Let f(h) = -519*h - 12. Determine f(r(a)).
37887*a - 12
Let k(q) = -33406*q. Let v(d) = 13*d. Determine v(k(m)).
-434278*m
Let q(b) = b**2. Let a(i) be the third derivative of -69*i**4/2 - 202*i**2. Give q(a(k)).
685584*k**2
Let m(b) = 21*b. Let u(x) be the third derivative of -3*x**5/20 + 157*x**2. Calculate m(u(q)).
-189*q**2
Let d(y) = -35*y**2. Let u(w) = 6*w + 14. Let f(c) = c**3 + 2*c**2 - 3*c - 5. Let s be f(-3). Let n(j) = -2*j - 5. Let t(a) = s*u(a) - 14*n(a). Give t(d(v)).
70*v**2
Let d(y) = -12 - 22 - y + 37. Let w(g) = -g + 1. Let o(a) = -d(a) + 3*w(a). Let i(m) = -2*m**2. Give o(i(x)).
4*x**2
Let y(m) = 4*m**2. Let o(c) be the first derivative of -7*c**4/12 + 45*c - 34. Let s(v) be the first derivative of o(v). What is s(y(i))?
-112*i**4
Let z(f) = -43*f**2 + 4. Let t(c) = -27*c. Give z(t(b)).
-31347*b**2 + 4
Let i(v) = 21*v**2 - 11*v + 22. Let d(c) = 4*c**2 - 2*c + 4. Let b(k) = 11*d(k) - 2*i(k). Let a(p) = -33*p**2. Calculate b(a(w)).
2178*w**4
Let n(i) = 128*i**2. Let s(g) = 2*g + 1. Let u(a) = a**2 + 6*a + 3. Let x(r) = 6*s(r) - 2*u(r). Calculate x(n(f)).
-32768*f**4
Let o(w) = w. Let f(q) = -91*q + 86*q + 41*q + 94*q + 1 + 98*q. Determine o(f(u)).
228*u + 1
Let n(y) = -y**2. Let s(b) be the second deriva
|
{
"pile_set_name": "DM Mathematics"
}
|
).
0
Let m(l) = -6*l**3 - 20*l**2 + 6*l + 17. Let j(i) = -5*i**3 - 18*i**2 + 6*i + 14. Let k(w) = 7*j(w) - 6*m(w). Calculate k(6).
32
Let t(u) = -u**3 - 5*u**2 - 9*u - 57. Let a(w) = -w**3 - 6*w**2 - 9*w - 47. Let l(j) = 5*a(j) - 4*t(j). Determine l(-9).
-7
Suppose 2*b = 7*b - 10. Suppose 37 = g - 4*c, -g - 5*c = -b*g + 42. Let r(y) = -y**2 - g - y**3 - 8*y + 12 - 6*y**2. Calculate r(-6).
7
Let o(p) be the first derivative of p**3/3 + 9*p**2/2 - 8*p + 14206. Let r = -7 + -4. Give o(r).
14
Let v(l) = 3*l**2 - 2*l. Let c be v(2). Let m(h) = h**2 + c - 21 + 12 - h. Let p be m(-1). Let f(j) = -j. Give f(p).
-1
Let r(j) = -2*j**3 - 2*j**2 + 3*j + 3. Suppose -7*l + 17*k + 121 = -2*l, -l - 43 = 5*k. What is r(l)?
30
Let z(r) = 1 - 3 - 3 + 6 - 8 - r. Let d be 1/(3/15) - (2 + 8). Give z(d).
-2
Let b = 8804 + -8803. Let l(a) = -40*a**3 - a + 1. Determine l(b).
-40
Let c(n) = 6*n - 3319 + 0*n + 3283. What is c(9)?
18
Let s(d) = -d**3 + 8*d**2 - 2*d + 1. Let a = -4057 + 4065. Give s(a).
-15
Suppose -12*o + 8*o + 4 = 0, 5*o - 25 = -5*q. Suppose 4*l - 6 = -q*y + 62, -3*y = -3*l - 45. Let k(d) = -11 + y - d**2 - 4 - 5*d. Calculate k(-4).
5
Let m(f) = -16*f**2 - 591*f + 49. Let y be m(-37). Let c(a) = -a**3 + 14*a**2 - 27*a - 19. Give c(y).
-55
Let d = -19 + 22. Let i(b) = -34 + 14 - d*b - 13. Let k be i(-9). Let u(z) = -z**2 - 7*z - 6. Determine u(k).
0
Suppose -14*q = -18*q + 4. Let s(j) = j**2 - 7*j - 5. Let x(y) be the third derivative of y**5/60 - y**4/3 - y**3 + y**2. Let o(b) = 7*s(b) - 6*x(b). Give o(q).
1
Let t(v) = -v**3 + 9*v**2 - 8*v - 6. Suppose 5 + 26 = m. Suppose -3*o + 29 = z, 28*o - 26*o + 3*z = m. Calculate t(o).
-6
Let m(k) be the second derivative of -k**6/720 - k**5/120 + 11*k**4/4 - k**2/2 - 39*k. Let w(d) be the third derivative of m(d). Give w(7).
-8
Suppose 16*q - 48 = 224. Let g(p) = -p**2 - 24*p + 33. Let d(k) = 3*k**2 + 70*k - 97. Let w(z) = q*g(z) + 6*d(z). Calculate w(-13).
-8
Let p(c) = 43 - 877*c**3 - 227 - 870*c**3 - 878*c**3 + 2626*c**3 + 25*c + 16*c**2. Determine p(-13).
-2
Let o(j) = -j**2 + 0*j**2 - 5*j**2. Let n = -171 - -170. Let l be o(n). Let y(g) = g**3 + 5*g**2 - 6*g - 1. Calculate y(l).
-1
Let i(c) be the first derivative of 2*c**3/3 - 9*c**2/2 + 3*c - 437. Determine i(6).
21
Let g(f) = f**3 + 27*f**2 + f + 16. Suppose 3*v + 85 = -4*j, 3*v + 22*j = 21*j - 82. What is g(v)?
-11
Let i be (15/135*-15)/(2/24*4). Let r(n) = -n**2 - 10*n - 30. Give r(i).
-5
Let a = -98 - -101. Suppose s - 6 = a*s - 5*g, 2 = -s + 2*g. Let y(i) = -1 + 2 - s + 4*i. Determine y(-2).
-9
Let q be 1150/(-40825) - (-2552)/(-142). Let i(v) = -10*v - 98. Give i(q).
82
Let y(c) = -c. Let b(h) = 3 - 11*h + 7*h + 0. Let z(g) = b(g) - 2*y(g). Let s be -8*(-15)/(-10)*(-1)/3. Calculate z(s).
-5
Let j(c) = -8*c - 9. Let i(m) = -2*m**2 - 119*m - 1371. Let v be i(-44). Calculate j(v).
47
Let p(o) be the first derivative of -3*o**4/4 + 2*o**3/3 + 5*o**2/2 - 4*o - 41. Let h(z) = -4*z**3 + z**2 + 6*z - 3. Let w(t) = 2*h(t) - 3*p(t). Give w(4).
-6
Suppose -4*o - 8 = -24. Let j be (-9)/o + (-4)/(-16). Let c(b) = 0 - 3*b + 1 - 27*b**2 - 42*b**2 - 35*b**2 + 103*b**2. What is c(j)?
3
Let n(d) = 20*d + 20. Suppose 0 = -384*v + 354 + 414. Give n(v).
60
Let z(w) = 16*w**2 - 3*w + 1. Let u(o) = o. Let q(m) = -u(m) - z(m). Let p = -597 - -615. Suppose 26*n - p*n = 8. Calculate q(n).
-15
Let i(k) = -k**3 - 2*k**2 + k - 2. Let t = 7172 - 7176. Calculate i(t).
26
Let k(f) = -6*f**2 + 2*f + 1. Let o(p) = -14*p - 64. Let q be o(-5). Let b be (-3 + q/3)/1. Calculate k(b).
-7
Let z be (-1)/(-3) + (171/(-27) - -2) + 7. Let b(w) = w**3 - 5*w - 6. Determine b(z).
6
Let c(l) be the first derivative of l**3/3 + 7*l**2/2 - 3*l + 1. Let w be 156/(-1014) - (-4)/(-26)*-1. Let v be w - 5 - (2 + -5 + 5). Give c(v).
-3
Let s(x) = -13*x**3 + 3 - 10*x**2 + 5*x**3 + 7*x**3. Suppose 4*p + 2*i = -50, -5*i = -2*p - 159 + 164. Give s(p).
3
Suppose 125*v - 3 = 124*v. Let a(r) = -1 + 32*r**3 + 4 - v*r**2 - 6*r - 31*r**3. What is a(4)?
-5
Suppose 4455*g = 2235*g + 2234*g + 14. Let y(k) be the first derivative of 3*k**3 + k**2 + 2*k - 2 + 0*k**3 - k. What is y(g)?
8
Let b(u) = -439 - 2*u - 439 - 444 + 1289. Give b(-20).
7
Suppose -2*v + 6*s - s = 17, 5*s = -5*v - 60. Let k(m) = 5*m**3 - 16*m**2 - m - 6. Let x(o) = o**3 - 3*o**2 - 1. Let j(z) = v*x(z) + 2*k(z). What is j(2)?
-9
Suppose -4*m = 38 - 78. Let o(u) = -2 - 2 + 11 + 3 - 3*u + 1. Determine o(m).
-19
Let x be 1*(-18)/(-24)*4. Let z(j) = 42 - 84 + 41 - 3*j**x. What is z(1)?
-4
Let k(f) = f**3 + 7 + 7 + 57*f**2 - 2*f - 52*f**2. Let p be ((-9)/12)/((-17)/(-2312)*17). Give k(p).
-10
Let l = -92 + 88. Let b(d) be the second derivative of -5/2*d**2 - 1/6*d**3 + 1/3*d**4 + 1/20*d**5 - 1 + 3*d. What is b(l)?
-1
Let l(m) = -m**2 - 10*m - 23. Let j be l(-4). Let z(s) = s**2 - 7*s + 5. What is z(j)?
-1
Let i(u) = -u**2 + 7*u - 6. Let w be i(4). Let h = 0 - w. Let z(y) = 8*y**3 + 7*y**2 + 21*y - 5. Let b(o) = -o**3 - 2*o. Let f(j) = 7*b(j) + z(j). What is f(h)?
-11
Let w(q) = -q**2 + 2*q + 3. Let b be (30/(-20))/((-3)/8). Give w(b).
-5
Let p = -252 + 348. Let c(n) = -33 - 25 + 4*n + p - 36 - n**3 - 6*n**2. Determine c(-6).
-22
Suppose 0 = -39*r + 45*r + 1944. Let a = r + 331. Let l(z) = -z**2 + 7*z + 3. What is l(a)?
3
Let b(k) = -15*k + 1288. Let i be b(87). Let h(s) = s**3 + 18*s**2 + 16*s + 8. What is h(i)?
25
Let i(s) be the third derivative of 17*s**2 + 0 + 0*s + 1/12*s**4 + 1/2*s**3 - 1/120*s**6 - 1/30*s**5. Let b be 26/(-8) + 1/4. Determine i(b).
6
Let u(g) = -62*g**2 - 2295*g - 23. Let o be u(-37). Let p(q) = 10*q - 148. Determine p(o).
-8
Suppose -5*c = -c - 36 + 4, -67 = -3*v - 8*c. Let t(a) = -1 + 0*a - 3*a**3 + a + 0*a. What is t(v)?
-3
Let l(u) = 9*u**3 - 2*u**2 + u. Suppose -16*c = -6*c - 330. Suppose 0 = -4*i - c + 37. What is l(i)?
8
Suppose 564*f - 587*f = -46. Let m(x) be the first derivative of -6*x - 1/2*x**f - 4. What is m(0)?
-6
Let t(p) = p**2 - 87*p + 53. Let n(u) = u**2 - 129*u + 80. Let d(a) = 5*n(a) - 7*t(a). Give d(-19).
-9
Let r(d) = -4*d**3 + 3*d**2 - 3*d + 1. Let y(v) = 6*v - 13. Let o be y(3). Let m(b) = 5*b**3 - 3*b**2 + 3*b - 1. Let z(w) = o*m(w) + 6*r(w). Give z(-3).
10
Let z(c) = -5*c**3 - 9*c**2 + 9*c + 155. Let k(t) = -t**3 - 2*t**2 + 2*t + 39. Let p(l) = 9*k(l) - 2*z(l). Let h = 6560 + -6560. Determine p(h).
41
Let i(w) be the first derivative of -w**2 - 6*w + 7627. Determine i(6).
-18
Let v(b) = -57*b**2 - 14*b - 3. Let h(d) = 365*d**2 + 89*d + 18. Let q(p) = 2*h(p) + 13*v(p). Give q(-1).
-10
Suppose -2*a + 61 = -2*w - w, -3*w = -a + 29. Suppose 4*o - a + 60 = 0. Let h(x) = -x**3 - 7*x**2 + 3*x + 3. Calculate h(o).
-18
Let q(c) be the first derivative of 2*c + 31 + 1/3*c**3 - 5*c**2. Calculate q(10).
2
Let w(t) = 6*t**3 - 6*t - 4*t**3 + 21 - 8*t**2 - 35 + 13 - 4*t**3. Determine w(-3).
-1
Let a(p) = p**2 + 9*p - 11. Suppose -2*x + 22 = -42*i + 38*i, 4*x - 23 = 5*i. What is a(i)?
-25
Let i be -4 + (-4 - -3) + 1. Let v be ((-9)/27)/((4/9)/i). Let a(k) = -2*k**2 + 2*k + 1. What is a(v)?
-11
Let p(o) = o**2 + o - 18. Let n(h) = -h**3 - 4*h**2 + 6*h - 3. Let q be n(3). Let l = 50 + q. Suppose l*m = 6*m. Calculate p(m).
-18
Let l(v) be the second derivative of -23*v**5/20 - v**4/12 + v. Let t(n) be the second derivative of n**3/6 - 6*n**2 + 127*n. Let o be t(13). Determine l(o).
-24
Let n(u) be the second derivative of 0 + 1/30*u**5 + 0*u**2 - 2/3*u**3 - 1/90*u**6 - 12*u - 1/8*u**4. Let p(q) be the second derivative of n(q). Calculate p(2).
-11
Let p(z) be the first derivative of -57 - 4/3*z**3 + 1/2*z**2 + 1/4*z**4 + 2*z. Determine p(3).
-4
Let r(u) = 7*u + 3. Let a(m) = -4*m - 3. Let q(y) = -3*a(y) - 2*r(y). Suppose 4*o - 2*j - 22 = 0, j = o - j - 10. Calculate q(o).
-5
Suppose 0 = 5*c - 7*c - 3*z + 20, -5*c = -5*z. Suppose 9*s + 40 = c. Let d(k) = k**2 + 4*k - 2. Determine d(s).
-2
Let k(h) = -7*h + 80. Let o(m) = -m**3 - 64*m**2 - 5*m - 307. Let f be o(-64). Determine k(f).
-11
Let x(f) = f**3 - 7*f**2 + 20*f - 58. Let v be x(5). Let s(p) = p**3 + 8*p**2 + 7. Give s(v).
7
Let c be 0 + -2 - (-1 + 3). Let s = -229 + 231. Let n(b) = -3*b**s - 5 - 3*b**2 + 6*b**2 + b**2 + b. What is n(c)?
7
Let g(m) = -1 - m - 64*m**3 + 3 - 2 + 72*m**3. Suppose z + 8 = -0. Let v = -9 - z. Determine g(v).
-7
Let a(i) be the second der
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 5*d = -5, 0*s + 20 = s - 4*d. Let l = s - 11. Let q = l - 1. What is the units digit of q?
4
Let d(t) = 3*t**2 - 6*t + 5. Let n be d(4). Let v = 40 - n. What is the tens digit of v?
1
Suppose -5*n = -4*g + 2*g + 121, 5*g - n - 268 = 0. Let h = 78 - g. What is the tens digit of h?
2
Suppose 3*c = -k - k - 16, 3*c + 18 = -3*k. Suppose -2*y + 0*y = -2. What is the units digit of -2 + y - (-7 - k)?
4
Suppose -9*p + 8*p = -3. Suppose -6*f - 15 = -p*f. Let d = f + 15. What is the units digit of d?
0
Suppose 3*d - 96 = 5*i - 6, -d = 5*i - 50. What is the tens digit of d?
3
Let i = -760 + 1109. What is the tens digit of i?
4
Suppose -3*s - 7 = -r - 2*s, 0 = -3*r - 3*s - 3. What is the units digit of r?
3
What is the units digit of (-38)/10*(-4 + -1)?
9
Let y(u) = -9*u + 14. What is the units digit of y(-25)?
9
Suppose -5*n - 56 = 3*q + 8, 3*q - 24 = 3*n. Let v = n + 15. What is the units digit of v?
4
What is the tens digit of (-54)/(-4) + 9/6?
1
Suppose -3*z + 12 = -3. Suppose 0 = -z*r + 41 + 9. What is the tens digit of r?
1
What is the tens digit of -236*5/(-30)*3?
1
Suppose -35 = -5*u + 4*f, u + 4*f = -u - 14. Suppose 5*g + 22 = u*t - 13, -4*g - 37 = -3*t. What is the units digit of t?
5
Let o(v) = v + 1. Suppose 0 = 4*t + 4*n - 4, 2*n = 0. What is the units digit of o(t)?
2
What is the units digit of ((-6125)/(-84) + 6/8)*3?
1
Suppose -7*d + 2*d + 660 = 0. Let p = d + -90. What is the tens digit of p?
4
Let b(m) = 4*m**2 + 5*m + 7. Let a be (-2)/13 + 185/(-65). What is the units digit of b(a)?
8
Let d be 0 - 4/2*-1. Suppose 88 = d*u - 6*u. Let c = 33 + u. What is the units digit of c?
1
Let u(x) = x**2 + 7*x + 9. Let c be ((-18)/(-15))/(1/(-5)). What is the units digit of u(c)?
3
Suppose 5*w + 233 - 38 = 0. What is the units digit of (3 - w/6)*2?
9
Let c = -8 - -16. Let o(d) = -d**2 + 10*d - 11. Let s(h) = -h + 1. Let y(w) = -o(w) - 2*s(w). What is the units digit of y(c)?
9
Let d(l) = l**3 - 2*l - 1. Let v be d(-1). Suppose 11 = -3*x - j, -8*j = 5*x - 4*j + 30. What is the units digit of 4 + 1 - (v + x)?
7
Let u(g) = g**2 + 6*g + 7. Let b be u(-8). Let r = b + -1. What is the tens digit of r?
2
Let u = 60 - 39. What is the tens digit of u?
2
Let c(t) be the second derivative of t**3/6 - 9*t**2/2 + 8*t. What is the units digit of c(10)?
1
Let d(r) = 20*r**2 - r - 1. What is the units digit of d(-1)?
0
Suppose 4*d - 175 = -d. What is the units digit of d?
5
What is the tens digit of 5/(-2)*64/(-10)?
1
Let r be (-5)/15 + 20/6. Let y(v) = 2 - 5*v - 4*v**3 + 3*v**3 - 1 - 3 - r*v**2. What is the tens digit of y(-3)?
1
Suppose -8*y + 9*y - 60 = 0. What is the tens digit of y?
6
Let l be 2/(-8) - 98/(-8). Let f be 1/(13/7 - 2). Let d = l + f. What is the units digit of d?
5
Let k(x) = -x**3 + 5*x**2 - 2*x - 2. Let f be k(4). Let j = 11 + f. What is the tens digit of j?
1
What is the tens digit of 1/(-7) + (-1037)/(-7)?
4
Let q be 0/(6/(-3 - -6)). Let b(n) = -n**2 + n + 2. Let f be b(q). What is the tens digit of 28/21*15/f?
1
Let l be (-3)/(26/32 + -1). Suppose -62 = -5*r - w, r + 2*w - l = -0*r. Suppose r = a + a. What is the units digit of a?
6
Let q = 187 + -113. Suppose -4*k - 22 = -q. Let z = 18 - k. What is the units digit of z?
5
Let n = -13 - -23. What is the units digit of n?
0
Suppose 4*j - 26 = 86. What is the tens digit of j?
2
Let l(u) be the third derivative of 0*u - 1/24*u**4 + 0 + 11/6*u**3 - 3*u**2. What is the units digit of l(5)?
6
Let c = 224 - 136. What is the units digit of c?
8
Suppose -10 = -x + 6*x. Let f be ((-6)/(-9))/(x/9). What is the units digit of 4/3 - (-1)/f?
1
Let l(d) be the first derivative of 2 + 9*d + 1/2*d**2 + 1/3*d**3. What is the units digit of l(0)?
9
Suppose 13 + 12 = 5*h. Suppose -h*f + 5*s - s + 22 = 0, -32 = -4*f - 4*s. What is the units digit of f/(-21) - 111/(-21)?
5
Let g be 6/2 + 8 + -1. Suppose -3*j + g = -5. Let h = 8 - j. What is the units digit of h?
3
Let h(c) be the second derivative of c**3/2 + 2*c. What is the tens digit of h(5)?
1
Suppose -2*q + 20 = 3*q, 2*y - 52 = -q. Let p = -11 + y. What is the tens digit of p?
1
Suppose -p - 3*p + 2*j = -30, 0 = 4*p + j - 27. Let d = p - 11. What is the tens digit of 2/d + (-25)/(-2)?
1
Let r be (-40)/(-6)*6/4. What is the tens digit of 126/r + 3/(-5)?
1
Let h(d) = 71*d - 8. What is the units digit of h(4)?
6
Let j = 14 - -5. What is the tens digit of j?
1
Suppose -6*q + 2 = -5*q. Suppose q*y + 3 = -f - 1, -2*f = y - 4. Suppose -3*g = -47 - f. What is the units digit of g?
7
Let m = -20 - -15. Let l = m - -11. What is the units digit of l?
6
Suppose 5 = 2*a + 4*o + 3, 0 = -5*a + 4*o + 61. What is the units digit of a?
9
Let v(y) = -95*y**3 - y**2 + 2*y + 3. What is the tens digit of v(-1)?
9
Suppose x - 4*m = 2*x - 42, 2*m = x - 72. Suppose 3*b + 23 = x. What is the units digit of b?
3
What is the units digit of 744/34 + 22/187?
2
Suppose -t + 6 = t, 0 = -5*y - t + 3. Let q = 12 - 28. Let r = y - q. What is the units digit of r?
6
Let w be 0*(15/6 + -2). Let m be (-4)/(-5) - (-3)/15. Suppose 5*g - m = n, w*n + 5*n + 5*g - 115 = 0. What is the tens digit of n?
1
Suppose 5*x - 5*i + 4 = 9, 3*i + 15 = 5*x. Let z(p) = p - 8. Let u be z(9). What is the units digit of u + 2*(-2 + x)?
9
Let z(p) = -p**2. Let g be z(-9). Let k = -34 - g. What is the tens digit of k?
4
Let z be 2/(-5) + (-144)/(-10). Let q = z + -10. Let b = q - -3. What is the units digit of b?
7
Let q = 502 + -285. What is the hundreds digit of q?
2
Let c = -76 - -122. What is the tens digit of c?
4
Let u be (-14 + 7)*(-1 + 0). Let n(p) = p + 2. Let i be n(u). Suppose d = -3 + i. What is the units digit of d?
6
Let u(p) = 2*p**3 - 6*p**2 + 3. What is the tens digit of u(4)?
3
Suppose -p = -2*d - 2, -2*d - 4*p + 8 = -0*p. Suppose d = 4*s + 4*l - 36, 0*l = -3*l - 15. What is the tens digit of s?
1
Let g = 16 + 88. What is the units digit of g?
4
Suppose -2*u + q - 4 = 0, 5*u + 2*q + 3*q = 20. Suppose u*y + 5*y - 15 = 0. Suppose -a + y = 2. What is the units digit of a?
1
Let r = 40 - 29. Let z = r + -6. Suppose 0*v = z*v - 20. What is the units digit of v?
4
Let b be 1 + 1 + 6 + -7. Suppose -r + 4 - b = 0. What is the units digit of r?
3
Let b(d) = -3 - 1 + 2*d**2 - d + 1. What is the units digit of b(3)?
2
Let h = -3 - -6. Let l be ((-2)/6)/(h/(-873)). Suppose -16 = -4*a, 2*a - l = -5*f - a. What is the tens digit of f?
1
Let s be 0 - (11 + -2 + 3). Let c be (-2)/(-3)*s/8. Let m = 3 - c. What is the units digit of m?
4
Suppose -4*c - y = -9 - 4, 2*y = -4*c + 18. Suppose -c*z = -0*z - 48. Suppose -1 = -5*t + z. What is the units digit of t?
5
Let d be ((-12)/(-16))/((-2)/(-8)). Suppose -4*h - 5 = 3. Let a = d + h. What is the units digit of a?
1
Suppose -2*d + 5*d + 33 = 0. Let g be 84/(-22) + 2/d. Let i(h) = h**2 + 3*h - 2. What is the units digit of i(g)?
2
Suppose -g + 4*l = -l + 6, 2 = -g + 3*l. Suppose -2*w + g*w + 3*x - 55 = 0, -5*w - 4*x = -148. What is the units digit of w?
2
Let m(t) = -2*t + 12. What is the units digit of m(-11)?
4
Suppose 5*a = 6 - 1. Let x be ((-8)/(-6))/(2/9). Let d = x - a. What is the units digit of d?
5
Let c(o) = o + 7. What is the units digit of c(-6)?
1
Let p(c) = c**3 + 8*c**2 + c + 5. Let x be p(-8). Let j be 6/(-4)*8/x. Suppose 2*o + 10 = 3*v - 6, 0 = -j*v - 5*o - 17. What is the units digit of v?
2
Suppose 5*u - 4*v = -0*u + 734, -5*u - 3*v = -762. What is the hundreds digit of u?
1
Let b(p) = p**2 + 2*p + 195. What is the tens digit of b(0)?
9
Suppose 3*s + 4*f + f + 11 = 0, -3*f - 15 = -s. Let b(x) = -3 - s*x + 3 - 2 - 1. What is the units digit of b(-2)?
3
Let j = -1 - -5. Suppose 6*b - b + 5*t - 10 = 0, -2*b - j*t = -2. Suppose 0*p + b*p - 42 = -4*q, q = p + 7. What is the units digit of q?
9
Suppose -q - 10 = -6*q. Suppose q*c - 10 = -3*c. Suppose -o + 5 = c. What is the units digit of o?
3
Let t(p) = 6*p**2 + 18*p - 6. What is the tens digit of t(-7)?
6
What is the hundreds digit of (29715/(-12))/(-7) + 1/4?
3
Suppose -237 + 42 = -5*v. What is the tens digit of v?
3
Suppose 23 = 3*q - 1. Suppose -3 = w - q. Suppose f + 3*v = -7 - 6, -w*v - 25 = 0. What is the units digit of f?
2
Let k = -4 + 10. Let j(u) = u**3 + 4*u**2 + 3*u - 1. Let a be j(-3). Let n = a + k. What is the units digit of n?
5
Let a = -190 + 305. What is the units digit of a?
|
{
"pile_set_name": "DM Mathematics"
}
|
Let l(z) = z**2 + 5*z + 4. Let r be l(-4). Let f = 15 - r. Calculate the remainder when f is divided by 9.
6
Suppose 0 = -4*x + 3*h - 9, 7*h = 3*h + 12. Suppose x = 3*l + 5*n - 1, -2*l - 2*n + 4*n = -22. What is the remainder when l is divided by 4?
3
Let l(p) be the third derivative of -p**4/24 + 5*p**3/3 + p**2. Calculate the remainder when l(6) is divided by 1.
0
Suppose 0 = x - 4*x + 9. Calculate the remainder when 8 is divided by x.
2
Let q = 23 - 19. Suppose 0*v - 4 = -2*v. What is the remainder when ((-4)/(-2))/(v/q) is divided by 3?
1
Let p(t) = -t - 2. Calculate the remainder when p(-5) is divided by 2.
1
Let y = -27 + 39. Suppose -y = -7*j + 6*j. Calculate the remainder when 34 is divided by j.
10
Let w(s) = -s**3 + 8*s**2 - 6*s - 4. What is the remainder when 14 is divided by w(7)?
2
Let g be -6*(24/(-9) - -2). Suppose -g*m = -40 - 4. Let z = -1 + 33. Calculate the remainder when z is divided by m.
10
Suppose -288 = -5*y + l, 0*l - 66 = -y + 3*l. Let t(q) = -q**3 - 4*q**2 - 5*q - 5. Calculate the remainder when y is divided by t(-4).
12
Suppose 5*j - 150 = -4*o, -30 = -2*j + j - 5*o. Calculate the remainder when 58 is divided by j.
28
Let c be 3*(0 + 2/3). Suppose -2*s - 3*w = c*s - 30, 2*w = 5*s - 49. Calculate the remainder when (-17)/2*(-14 - -12) is divided by s.
8
Let c(y) = 17*y**3 - 2*y**2 + 4*y + 1. Calculate the remainder when c(2) is divided by 35.
32
Let t = 27 + -15. Suppose -5*c + 63 = -102. Calculate the remainder when c is divided by t.
9
Let o = 25 - 15. Suppose 2*h = -0*h - 58. What is the remainder when h/(-4 + 1 - -2) is divided by o?
9
Let b(z) = z**3 + 8*z**2 + 10*z + 9. Suppose 0 = -3*l - 0*l + 156. Suppose -4*f + 12 = -0*f, -5*a + f + l = 0. What is the remainder when b(-6) is divided by a?
10
Suppose -18*a + 16*a = -154. What is the remainder when a is divided by ((-8)/(-3))/((-2)/(-15))?
17
Suppose -4*b = -2*a - 119 - 13, 0 = -3*a - 12. Let v = b - 22. Suppose -4*u + 35 + 33 = 0. What is the remainder when u is divided by v?
8
Let t(k) = 4*k - 3. Let s(l) = 12*l - 8. Let f = 6 + -3. Let i(u) = f*s(u) - 10*t(u). Calculate the remainder when i(-7) is divided by 12.
10
Suppose i = -3*d - 0*d + 729, 4*i - 972 = -4*d. Calculate the remainder when d is divided by 62.
57
Calculate the remainder when 79 is divided by (2 - (-28)/6)*3.
19
Suppose s - l = -13, 5*l - l = 5*s + 60. Let y = s + 14. Let n(m) = m**2 - m - 2. What is the remainder when n(4) is divided by y?
4
Let n(x) = 17*x + 6. What is the remainder when n(2) is divided by 15?
10
Let t = -3 + 23. What is the remainder when 37 is divided by t?
17
Let l(m) = -2*m - 9. Calculate the remainder when 48 is divided by l(-13).
14
Suppose j = 3*j + 132. Let m = j + 133. What is the remainder when m is divided by 23?
21
Suppose v = -0*v - k - 2, -4*v = 5*k + 12. Let l be 11*7/v*-2. Let n = l + 117. Calculate the remainder when n is divided by 14.
12
Suppose 0 = -5*r + 9 + 16. Suppose 2*o - 15 = -3*c, -r*o - c + 12 = -2*o. Suppose 10 = o*a - 2*a. What is the remainder when a is divided by 4?
2
Let u be (-8)/28 + (-23)/(-7). Suppose u*t - 13 - 276 = 2*r, -4*r = 8. What is the remainder when t is divided by 24?
23
Suppose 1 + 1 = r. Let o(w) = 2*w**2 - w - 2. Let z be o(r). Suppose -z*h + 127 + 9 = 0. What is the remainder when h is divided by 18?
16
Let u(q) = -q**2 - 7*q - 3. Let m be u(-6). Suppose -64 = j - m*j. Let i(y) = -y + 17. What is the remainder when j is divided by i(0)?
15
Suppose 2*f - f + 346 = c, -4*c + 1368 = 4*f. Suppose 0 = 4*i - 4*x - 280, 7*i + x = 2*i + c. Calculate the remainder when i is divided by 24.
21
Suppose 3*l + 44 = 116. What is the remainder when l is divided by 17?
7
Let i(k) = -13*k**3 + 2*k**2 + 2*k + 1. Let w be i(-1). What is the remainder when 192/w - 4/(-14) is divided by 5?
4
Suppose -3 = 5*z - 128. Calculate the remainder when z is divided by 15.
10
Let r(p) = -p**3 + 7*p**2 - 5*p + 7. Let t = 6 + 18. What is the remainder when t is divided by r(6)?
11
Let f = 4 + -3. Let k be f + 0 + (5 - 7). What is the remainder when (-2 - -38) + k + -3 is divided by 17?
15
Let w be (0 + -5)*(-16)/40. Suppose w*p = -3*k + 56, 5*p - 59 = -2*k - k. Calculate the remainder when k is divided by 10.
8
Suppose 4*n - 2*s - 3*s = 52, 2*n + s = 40. Let c = 1 + -1. What is the remainder when (1 - 2 - -35) + c is divided by n?
16
Let r(s) = s**3 - 7*s**2 + s + 4. What is the remainder when 53 is divided by r(7)?
9
Let m be 2/(6/3) - -3. Suppose 0 = -5*z - d + 123, 3*z - m*d + 21 = 104. What is the remainder when z is divided by 13?
12
Let p = 14 - 3. Let h(q) = -q**3 + 12*q**2 - 7*q - 9. Suppose 0 = 5*b + 5*w - 20, 2*b - 4*w - 56 = -2*b. Calculate the remainder when h(p) is divided by b.
8
Suppose -5*h + 168 = -h. Suppose 33 = 5*p - h. Suppose -l = -48 + p. What is the remainder when l is divided by 17?
16
Suppose -9 = 2*y - 3*y. Suppose 2*i = 6*i - 60. What is the remainder when i is divided by y?
6
Let k(n) = n**2 + n - 2. What is the remainder when k(-10) is divided by 46?
42
Suppose -12 = 3*t, 4*c + 3*t = -0*t - 4. Suppose 5 + 5 = -c*i. Let b = 8 + i. Calculate the remainder when 9 is divided by b.
0
Let z be ((-8)/(-10))/(2/5). Suppose -5*o = 3*m + 32 - 4, -4*m = o + 26. Calculate the remainder when (z/m)/(1/(-21)) is divided by 3.
1
Let t = 157 - 55. Calculate the remainder when 25 is divided by t/15 - 4/(-20).
4
Let x = -17 - -53. Suppose -p + x = -50. Suppose a + a = p. What is the remainder when a is divided by 15?
13
Let b = -27 - -43. Suppose -q + b = q. Let c(h) = -h**2 - 12*h + 3. Calculate the remainder when c(-11) is divided by q.
6
Let t = 43 - 22. Let p = 36 - t. What is the remainder when 58 is divided by p?
13
Suppose -3*g + 52 = 2*p, 101 = 5*p + 2*g - 18. Suppose 3*i - 37 = -3*n + 14, -n + 65 = 5*i. What is the remainder when p is divided by i?
11
Let f = 113 + -80. What is the remainder when f is divided by 9?
6
Suppose 0 = 4*f - 3*f. Suppose -5*s + 71 + 64 = -3*r, -3*r + s = 123. Calculate the remainder when (0 + (-1 - f))*r is divided by 14.
12
Let w(s) = 54*s**2 + 1. What is the remainder when w(1) is divided by 14?
13
Let k be 16/6 - (-6)/(-9). Suppose 5*v - 5*t = 300, -k*t - 178 = -2*v - v. Let r = 36 + -16. What is the remainder when v is divided by r?
18
Suppose -g + 11 = 3*g + 3*a, -1 = -3*g + 5*a. What is the remainder when 4/16*4 + 3 is divided by g?
0
Let x(c) = 7*c - 41. What is the remainder when 86 is divided by x(10)?
28
Suppose -17*c - 16 = -18*c. What is the remainder when 62 is divided by c?
14
Suppose 0 = 2*k - 2 - 10. What is the remainder when k is divided by 3?
0
Calculate the remainder when 97 is divided by (-330)/5*(-1)/2.
31
Suppose 3*t - 2*v - 28 = 0, -v - 6 = 2*v. Calculate the remainder when t is divided by 3.
2
Let f(d) = 2*d**2 - 7*d - 3. What is the remainder when f(7) is divided by 14?
4
Let i(r) = r**3 - 3*r**2 - 10*r - 20. Calculate the remainder when i(9) is divided by 27.
25
Suppose 2*t - 1 = 3. Let l be 3/(-2) + (-7)/(-2). Calculate the remainder when 57 is divided by 30/t*(3 - l).
12
Let t(h) = -11*h - 21. What is the remainder when t(-9) is divided by 27?
24
What is the remainder when 61 is divided by 6/3 - 33/(-3)?
9
Let y = -5 + 7. Suppose 0*k = y*k - 170. What is the remainder when k is divided by 22?
19
Let g(j) = j**3 - 5*j**2 + j - 2. What is the remainder when ((-7)/14)/(2/(-24)) is divided by g(5)?
0
Suppose 31 = h + 2. What is the remainder when 114 is divided by h?
27
Calculate the remainder when 21 is divided by 18/(-42) - 52/(-7).
0
Suppose o - 3*o = p - 181, 0 = -3*o - 3*p + 264. Calculate the remainder when o is divided by 12.
9
Let y be ((-3)/(-6))/(1/(-2)). Calculate the remainder when 11 is divided by 1 - 2/y*1.
2
Suppose 39 = -5*g + 4*k, -g + 0*k - 27 = 4*k. Calculate the remainder when 22 is divided by (g + -1)/(5/(-5)).
10
Let f(y) = 3*y + 1. Let v(a) = 6*a + 1. Let c(b) = -5*f(b) + 3*v(b). Calculate the remainder when c(6) is divided by 9.
7
Let y(n) = n**2 + 3*n + 8. Suppose -4*h + 2*h + 10 = 0. Suppose -2*f = -h - 13. What is the remainder when y(-6) is divided by f?
8
Suppose 3*t + v - 7 = 0, 5*v - 2*v = -15. Calculate the remainder when (-6)/30 + (-46)/(-5) is divided by t.
1
Suppose -270 = -5*v - 3*d, 4*v + 0*v - 216 = -d. Calculate the remainder when v is divid
|
{
"pile_set_name": "DM Mathematics"
}
|
**7/42 + d**4/6 + 9*d**2. What is the second derivative of v(t) wrt t?
-60*t**2
Let s = 4 + -2. What is the second derivative of 4*j**s - j - j - 2*j wrt j?
8
Find the third derivative of -7*i**4 + 2*i**4 - 30*i**3 + 8*i**2 + 30*i**3 wrt i.
-120*i
Let i(n) = -n**2 - 8*n - 2. Let t be i(-4). Suppose h + 3*h + 5*v + 17 = 0, 2*h - t = 2*v. What is the second derivative of -j + 7*j - 3*j + 3*j**h wrt j?
6
Let s(j) be the second derivative of j**3 - 5*j**2 + 35*j. What is the derivative of s(r) wrt r?
6
Suppose 0 = -0*u + u - 4. Suppose 3*l - 4 = y, -10 = -u*y - 0*l - l. Differentiate 3 + y*t**2 - 6 + 4 - 4 with respect to t.
4*t
Let w(t) be the second derivative of t**3/6 - t**2/2 - t. Let o be w(3). Find the third derivative of 0*l**4 + 2*l**4 + l**o + 2*l**2 wrt l.
48*l
Let k(g) = g**2 - 7*g + 8. Let a be 104/18 + 4/18. Let n be k(a). Find the third derivative of 2*z**2 - 3 + 3 - n*z**4 wrt z.
-48*z
Find the third derivative of -35*i**6 - i**6 - 34*i**2 + 21*i**2 wrt i.
-4320*i**3
What is the second derivative of -3850 + 34*r**4 + 45*r + 3850 wrt r?
408*r**2
Let j(d) = -7*d**5 + 4*d**4 - 4*d**3 - 15*d. Let i(o) = 7*o**5 - 3*o**4 + 3*o**3 + 14*o. Let k(s) = -4*i(s) - 3*j(s). Find the second derivative of k(g) wrt g.
-140*g**3
What is the third derivative of 14*n**6 + 2*n**6 + 0*n**2 - 8*n**2 wrt n?
1920*n**3
Let x = -8 - -10. What is the third derivative of 2*y**x - 7*y**2 + y**5 + 9*y**2 - 6*y**5 wrt y?
-300*y**2
Let w = 5 - 1. What is the second derivative of 2*n - 5*n**w + 6*n**4 - 3*n**4 wrt n?
-24*n**2
Let i(y) = y - 4. Let c be (207/(-115))/((-6)/10). Let d(n) = 2*n + 2 - 2 - 3. Let r(k) = c*d(k) - 2*i(k). What is the derivative of r(w) wrt w?
4
Suppose -8 = -4*j + 4. What is the third derivative of -j - i**5 + 2*i**2 + 3*i**5 + 3 wrt i?
120*i**2
Let v(p) = -p**2 + 3*p + 1. Let t be v(3). Let g be -1*(2 - t)*-1. Differentiate -2 + 0 - g + 0 - 3*f wrt f.
-3
Let v = -5 + 8. Suppose 2*s + 2 = v*s. What is the third derivative of -3*y**3 - y**2 + s*y**3 + 2*y**2 wrt y?
-6
Let o(n) = -n**3 - n**2 - n. Let t = 9 + -5. Let g(s) = s + 3*s**2 - 4*s**3 + 5*s**3 + t*s. Let y(u) = -g(u) - 3*o(u). Find the second derivative of y(f) wrt f.
12*f
Let v(n) be the second derivative of -n**7/420 + n**6/180 + 5*n**3/6 + 4*n. Let w(s) be the second derivative of v(s). Find the third derivative of w(a) wrt a.
-12
Let a(k) = -14*k**3 - 5*k - 11. Let h(d) = -21*d**3 - 8*d - 17. Let o(s) = 8*a(s) - 5*h(s). Differentiate o(b) wrt b.
-21*b**2
Let o = 1 + 31. Suppose -2*y - 2*y + o = 0. Find the second derivative of -y*a + 2*a**2 + 0*a**2 + 9*a wrt a.
4
Let k(r) be the second derivative of 0*r**6 - 1/8*r**8 + 1/6*r**4 + 0*r**7 + 0*r**3 + 0*r**5 + 0*r**2 - 6*r + 0. What is the third derivative of k(h) wrt h?
-840*h**3
Let i(n) be the first derivative of n**4/4 + 2*n**3/3 - 6*n - 2. Let q(y) be the first derivative of i(y). Find the second derivative of q(v) wrt v.
6
Let u = 7 + -4. Let x(a) be the third derivative of 0*a**u + 1/60*a**5 + 0*a + 0 + a**2 - 1/8*a**4. What is the second derivative of x(y) wrt y?
2
What is the third derivative of 86*r**4 + 15*r**2 - 82*r**4 - 2*r**3 + r**3 wrt r?
96*r - 6
Find the first derivative of 32*p**4 - 10125*p + 20 + 10125*p wrt p.
128*p**3
Let d(v) = -v**3 - v**2 - v - 1. Let l(n) = -7*n**3 + n**2 - 6*n - 6. Let r(y) = -6*d(y) + l(y). What is the third derivative of r(s) wrt s?
-6
Let h(c) = -c - 3. Let o be h(-4). Let n = o - -1. Find the first derivative of -3*l**4 + n*l**4 + 1 + 1 wrt l.
-4*l**3
Let j be 2/(-8) + (-18)/(-8). Find the second derivative of -3 + 2 + j*m + 1 - 2*m**3 wrt m.
-12*m
Let l(b) = 2*b**2 - 1. Let w(p) = 17*p**2 - 4*p + 1. Let m(q) = 6*l(q) - w(q). What is the first derivative of m(j) wrt j?
-10*j + 4
Let l(p) = -24*p - 19. Let f(d) = -8*d - 6. Let s(h) = 8*f(h) - 3*l(h). What is the derivative of s(w) wrt w?
8
Let p(k) = k**2 - k. Let r be p(2). Find the third derivative of -3*i**r - 2*i**2 - 14*i**4 + 18*i**4 wrt i.
96*i
Let w(g) be the second derivative of -g**4/8 - 5*g**3/6 - g**2 + 4*g. Let q(l) be the first derivative of w(l). What is the derivative of q(d) wrt d?
-3
Let g(y) = -20*y**2 + 17*y + 3. Let r(b) = 1. Let q(o) = 2*g(o) - 6*r(o). What is the second derivative of q(k) wrt k?
-80
Let w(k) = 2*k**4 - 6*k**3 - 6*k**2 - 3*k. Let d be (2/3)/(1/9). Let j(x) = x**3 + x**2. Let z(f) = d*j(f) + w(f). What is the second derivative of z(a) wrt a?
24*a**2
Let v(o) be the first derivative of 8*o**3/3 + 14*o - 7. Differentiate v(s) wrt s.
16*s
Let c(q) = q**3 + 2*q - 2. Let t be c(2). Suppose -4*n + t = -6. What is the derivative of 2*m**4 + 4 - n - 2 wrt m?
8*m**3
Let z(t) be the second derivative of 0 + 1/3*t**3 + 0*t**2 - 2*t + 0*t**4 + 1/5*t**5. Find the second derivative of z(d) wrt d.
24*d
Differentiate 5 + 9*z**2 - 11*z**2 + 6*z**2 wrt z.
8*z
Let z(f) be the second derivative of f**4/2 + 2*f**2 - 4*f. Differentiate z(y) with respect to y.
12*y
Suppose -5*m - 2 = -17. Find the first derivative of q**2 - m*q**2 + 6*q**2 - 3 wrt q.
8*q
Let p(n) = n**2 + 6*n - 11. Let z be p(-8). What is the derivative of -2*g - z + 2*g - 4*g**2 + 2*g**2 wrt g?
-4*g
Let c(b) be the second derivative of 5*b + 0*b**4 + 0 - 2*b**2 - 3/20*b**5 + 0*b**3. What is the first derivative of c(a) wrt a?
-9*a**2
Let z be (-2 + 2)*(-3)/(-6). Let j(u) be the second derivative of 1/12*u**4 - 1/6*u**3 + 3*u + z*u**2 + 0. What is the second derivative of j(x) wrt x?
2
Let z(n) = -n**3 + 5*n**2 - 5*n + 5. Let l be z(4). What is the derivative of 6*g + 1 - 2*g + l wrt g?
4
Suppose 4*o - 2 = -2*r, 0 = -2*r - 8 - 2. Suppose -h + 13 = 3*p + 2, 5*h = p + 7. Find the third derivative of -o*k**4 + 3*k**h - 2 + 0*k**2 + 2 wrt k.
-72*k
Let n(p) = p**2 - p + 3. Let g(k) = -k + 1. Let w(d) = -d**2 - 6*d + 1. Let j be w(-5). Let a(s) = j*g(s) - 2*n(s). What is the second derivative of a(y) wrt y?
-4
Suppose 3*m = -0*m. Differentiate -8*a + m + 4*a - 3 wrt a.
-4
Let f(g) = -g**4 + g**3 + g**2. Let n(i) = i**4 - 8*i**3 - 8*i**2 - 5*i. Let x(z) = -24*f(z) - 3*n(z). What is the second derivative of x(o) wrt o?
252*o**2
Let d(i) be the second derivative of 5/2*i**2 - 5/6*i**3 + 0 + 4*i. What is the derivative of d(u) wrt u?
-5
Let d(u) be the third derivative of -u**6/20 - u**3/6 - u**2. What is the first derivative of d(s) wrt s?
-18*s**2
Let h(b) be the second derivative of b**6/360 + b**4/8 + b**3/6 + b. Let n(v) be the second derivative of h(v). Differentiate n(j) wrt j.
2*j
Let a(g) be the first derivative of -g**6 + 2*g**2 + 3. What is the second derivative of a(t) wrt t?
-120*t**3
Let o(m) = m**2 - m. Let u(v) = -2*v**2 + 2*v. Let f(b) = 9*o(b) + 4*u(b). Find the second derivative of f(j) wrt j.
2
Let s(a) = -22*a**4 - 5*a**3 + 5*a**2 + 5*a - 3. Let z(m) = -11*m**4 - 3*m**3 + 3*m**2 + 3*m - 1. Let x(r) = -3*s(r) + 5*z(r). Differentiate x(j) wrt j.
44*j**3
What is the second derivative of 0*c + 5*c**3 - 4*c + 4*c**4 - 5*c**3 wrt c?
48*c**2
What is the third derivative of -4*g**2 - g**4 + 6*g**4 - 17*g**4 wrt g?
-288*g
Differentiate 21 + 12 - 30*l**2 + 28 wrt l.
-60*l
Let r be (3/6)/((-1)/4). Let c be r/((-4)/18) - 2. Find the first derivative of 11*v**3 + 2 - 13*v**3 - c wrt v.
-6*v**2
Let v(g) = g**2 - 2*g - 4. Let l be v(3). Let m be ((2*4)/l)/(-2). What is the second derivative of -2*i + 0*i - 3*i**m + i**4 wrt i?
-24*i**2
Let m(l) be the second derivative of 5/42*l**7 + 1/3*l**3 + 0*l**5 + 0*l**2 + 0 - 5*l + 0*l**6 + 0*l**4. What is the second derivative of m(v) wrt v?
100*v**3
Let s be (-2)/9 - 220/(-18). Suppose 0 = 3*o + o - s. What is the third derivative of -3*j + j**2 + 2*j**3 + o*j wrt j?
12
What is the derivative of -8*v**4 + v**4 + 5*v**4 - 2 - 3 wrt v?
-8*v**3
Let i(s) = 5*s + 55. Let k be i(-11). Let l(f) be the first derivative of 0*f**3 + k*f**4 + f**2 + 0*f + 2/5*f**5 - 2. Find the second derivative of l(x) wrt x.
24*x**2
Let v be 1/(2/4) - -1. What is the second derivative of -v*a**5 + a**5 - 2*a - a wrt a?
-40*a**3
Find the second derivative of 56*t - 12*t**4 - 22*t - 24*t wrt t.
-144*t**2
Let y(o) be the second derivative of o**5/30 + o**3/2 + o**2 - 4*o. Let t(x) be the first derivative of y(x). Differentiate t(g) with respect to g.
4*g
Find the third derivative of 14*h**2 - 33*h**3 - 242 + 242 wrt h.
-198
Let n be 3/12 -
|
{
"pile_set_name": "DM Mathematics"
}
|
*6/8. Solve u = 3*c + 2*m, 2*m = -3*c - 2*m + 12 for c.
0
Suppose 1 = -g, 4*l + 0 = -g - 9. Let n be (l/6)/((-5)/30). Solve 0 = -5*u + 6*d - 3*d + n, 2*u = -2*d + 4 for u.
1
Let u(b) = 2*b - 7*b - b + 4*b - 2 + b**2. Let l be u(3). Solve l = j, 13 = -0*r - 3*r + 4*j for r.
-3
Let m be 9/(-9) + (-14)/(-1). Let v = 13 - m. Solve 2*w + 5*h + 13 - 1 = v, -2*h + 4 = 3*w for w.
4
Let s(l) = l**2 + 3*l - 1. Let k be s(2). Let p(d) = 2*d + 5. Let u be p(k). Solve 5*h + u = -y, -5*h - 2*y = -4*y + 14 for h.
-4
Suppose -7 = -j - 2. Solve 2*m = -3*c + 17, -8 = -2*m - j*c + 15 for m.
4
Let y(q) = -q**3 + 19*q**2 - 17*q - 15. Let p be y(18). Solve 4*u + 2*g = -6, u - 3*u = -5*g - p for u.
-1
Suppose -q = 4*q - 20. Solve -4*c = 4*f - q, 2*c + 35 = 5*f - 3*c for f.
4
Let y = -6 + 6. Let l = y - -4. Suppose l*k - 27 = 5*t, -t - 15 = -2*k + 2*t. Solve -o + 1 = 5*i + 11, -4*i - k*o = -3 for i.
-3
Suppose 5*s - 99 = 16. Suppose -5*m - 3 = -s. Solve 0 = w - 4*z - m, 22 = -5*w + w - 3*z for w.
-4
Let f(i) = -i + 1. Let l be f(1). Solve -2*g = -u - 3*g + 3, 5*u + 3*g - 7 = l for u.
-1
Let c(w) = -w**2 - 4*w - 2. Let t be c(-1). Let p be (t/(-2))/(17/(-136)). Solve 2*s + 18 = -p*h, -4*h - 23 = 2*s + s for s.
-5
Let b(y) = -20*y. Let n be b(-1). Suppose -3*d - j = -4*d + 14, -n = -2*d - 2*j. Let v be (2/2 - 1) + d. Solve -5*z + 4*f + 15 = f, -2*f = -4*z + v for z.
3
Suppose -7 = -4*x + 2*m + 3, 5*x + 3*m = -15. Let o = x + 5. Solve 3*f - 4*d - 12 = -7*d, -5*d - 10 = -o*f for f.
3
Suppose -3*c - 9 = -5*g, 4*g - 4 - 4 = 2*c. Solve -l + 12 = 5*j, -3*l + 0*l = -g*j for l.
2
Let j be (6 - 1)*5/5. Let m = j + -5. Solve m = 5*b + 3*o + 14, -o + 18 = -2*b + 4*o for b.
-4
Suppose 5*g + 4*a + 0*a = -27, 0 = 3*g + a + 19. Let p = g - -7. Solve u = -p*n - n + 3, 0 = 3*n + u - 9 for n.
3
Let y(a) = a**2 + 8*a + 10. Let j be ((-2)/(-1))/(10/(-35)). Let i be y(j). Solve 0 = -3*h - 2*g, g + i = 2*g for h.
-2
Let w = -10 + 14. Suppose 0*s + 16 = 4*s. Suppose 0*k = -s*k. Solve -q = -5*b + b - 16, k = w*q + 5*b + 20 for q.
0
Let x = -17 - -24. Solve -5*o - 3 = -2*i, -2*i = -o - 0*o - x for i.
4
Let g(p) = p**2 + 6*p + 5. Let w be g(-6). Suppose 0 = w*f + 2*d - 4, 2*f - 13 = 3*d - 0*d. Solve -2*u = u - f*t - 11, 0 = -u - 2*t + 1 for u.
3
Let d be ((-4)/8)/((-3)/12). Solve -2*t + 20 = 5*m, 16 = 2*t + 2*t - d*m for t.
5
Let g = 26 + -18. Let l = g + -3. Let i(n) = -n**2 - 4*n - 2. Let p be i(-2). Solve -2*y + s + 0*s = -p, -l*s - 24 = 4*y for y.
-1
Suppose -2*d = 3*d - 20. Let n be -2*(-3 + 2) + d. Let f be 4 + 5/((-15)/n). Solve f*s + 15 = -4*g - 1, 0 = 2*g + 10 for s.
2
Let l(x) = x**2 - 3*x + 2. Let q be l(5). Let t be q/(0 - -2) - 2. Solve t*a - 2*p = -0*a - 2, 4*p = 4*a + 8 for a.
1
Let y(d) = -3*d - 9. Let i be y(-4). Let s = -2 + 3. Solve 5*t + i*q = -8, 4*t + 0 + s = 3*q for t.
-1
Let j be (-1)/(2/(-22)) - (-14 + 15). Solve 5*f - 5*t = 10, 5*t - j = 2*f - f for f.
5
Suppose 3*j + 22 = 61. Solve 3*c + 2*w - w - j = 0, -2*w - 14 = -2*c for c.
5
Let a(d) = -d**2 - 7*d - 3. Let o be a(-6). Suppose -67 = -4*x - 4*c + c, -2*x + 36 = 2*c. Suppose x = 2*f - f. Solve -o*b + f = 4*y, 10 + 2 = -3*y + 5*b for y.
1
Let j(y) = y + 14. Let t be j(-9). Solve -4*z + 5 = t*k, -2*k - 3*z + 5 = 2*k for k.
5
Suppose 28 = 3*y + y. Let w be 9/6*8/6. Suppose 5*m + 10 = 0, -25 = -w*j - 5*m - 1. Solve -2*o = 4*b - 18, -2*b + y*b = 3*o + j for b.
4
Suppose -4*z = -6*z + 6. Solve h + 15 = -4*v, v + 2*h - z = 4*v for v.
-3
Suppose -8 = d - 10. Solve -d*q + 5*t + 4 = 0, 1 = q - 5*t - 6 for q.
-3
Suppose 7*y - 3*y - 84 = 0. Suppose 4*q = t - 0*q - 22, 2*t = 4*q + 24. Suppose -r - 15 = -4*b + t*r, 5*r = 15. Solve -n - y = 3*p - 2, 2*p + b = n for p.
-5
Let p(w) = -w + 8. Let q be p(-18). Let b be ((-2)/2 - -1)/2. Solve 5*l + 29 = -2*s - b*l, -3*s = 4*l + q for s.
-2
Suppose 4*s - 4 - 3 = -r, s - 1 = -r. Solve -3*n + f = s*n + 13, -5*f + 7 = 4*n for n.
-2
Suppose 4*r - 14 = -2*h, 0*h = -2*r + h + 13. Let w(l) = l**3 - 6*l**2 - 4*l + 6. Let c be w(7). Solve -5*b = 3*o - 6*o + 31, r*b = o - c for b.
-5
Suppose -4*l + 4 = -16. Let y(h) = -h**3 - h + 24. Let k be y(0). Solve 2*u + k = -l*f, 0*f - 5*f = -5*u + 10 for f.
-4
Let g(d) = -d - 10. Let r be g(-12). Solve 0 = c - 5*j - r, 0 = -c + 5*c - 2*j - 8 for c.
2
Suppose -6*g + g = 5. Let c = 14 - g. Let p = c + -11. Solve -m = 5*l - 0*l - 29, p*l + 4*m = 36 for l.
5
Let i(s) = -s + 11. Let q be i(7). Suppose 5*o - 5*k = 20, -q*o + 6 + 0 = k. Solve -2*u + 1 - 2 = 5*x, 0 = o*u - 5*x - 9 for u.
2
Let w = 20 + -14. Let m be 3 + w/3 + -3. Suppose -m*s + 10 = 3*s. Solve -t - s*r = -3, -2*r = -3*r for t.
3
Let f = 3 - -7. Let x = -11 - -5. Let c = f + x. Solve -l = -5*u - 18, c*l + 24 = -0*u - 4*u for l.
-2
Let s be (-2)/((-8)/6 - 6/9). Solve 0 = -5*n - 3*w + 3, 4*n - s = 4*w - 5 for n.
0
Let b be (3/(-2))/(12/(-120)). Suppose 3*y + 4*p = 15, -y - 2*y - 2*p = -b. Solve -2*r - r = 5*d - 11, -23 = -y*d + r for d.
4
Let n be (-54)/(-10) + ((-39)/(-15) - 2). Solve -a - 2*s + 6 = a, 2*a = 4*s + n for a.
3
Let i(m) = -2*m**3 + 14*m**2 + m - 5. Let y be i(7). Solve r - 4*w + w - 17 = 0, 2*w + 14 = y*r for r.
2
Suppose 15*m = 10*m. Solve -5*q + 2*p + 22 = 0, -17 = -m*q - 5*q - 3*p for q.
4
Let p = -1 - -10. Suppose 1 + p = 2*o. Solve 6*m - m = -4*j - 16, -3*m - o*j = 7 for m.
-4
Let t(j) = j + 1. Let m be t(2). Solve 2*s - 8 = -3*u, 2*s - 3*u - 5 = m for s.
4
Let s be (-3)/12 + 39/12. Suppose 2*f = -2*f. Suppose f*g - 4 = -g. Solve -4*h - 2*w - g = 0, 1 = -5*h - s*w - 4 for h.
-1
Let h(k) = k**3 - 12*k**2 + 9*k + 26. Let t be h(11). Solve -u - t + 3 = 0, 5*w - 3*u = 13 for w.
2
Suppose 5*j + 13 = 3*l - 5*l, -2*l = 4*j + 8. Let y = l + -6. Solve -15 = q - 6*q + s, y = -2*q + 5*s + 29 for q.
2
Suppose 5*u - 3*v + 2*v - 30 = 0, 4*u - 30 = 2*v. Solve 0 = -3*h + 6*h - u*f - 22, -5*f + 6 = 4*h for h.
4
Let u be ((-110)/25 - -4)/(3/(-270)). Solve 3 = -2*t - 5, 0 = 5*s - 4*t - u for s.
4
Let q be (-132)/(-20) - (-2)/5. Let n = 12 - q. Solve -a + 1 = h - n*a, h + a = 6 for h.
5
Let l be (0/(-4 + 8))/3. Solve -4*p = l, 8 = -2*a + 3*p - 4*p for a.
-4
Suppose 0 = -h - 2*h - 15. Let w be -9*(-2)/6*3. Let f = h + w. Solve u = -5*b + 24 + f, 4*u - 32 = -4*b for u.
3
Let a(p) = p**3 + 2*p**2 + p. Let r be a(-1). Solve 0*j - 2*j - t + 3 = 0, r = -4*j - t + 7 for j.
2
Let q be (-8)/12 + (-38)/(-3). Let b = -7 + q. Solve -5*w - b*x = -45, 3*x - 17 = -3*w + 2*x for w.
4
Suppose -c + 0*c = -5. Let x be (1/(-2))/((-1)/4). Suppose -2*p - p + 3*z + 27 = 0, 8 = -x*z. Solve a = 4*n - 9, -c*a + 8 = -3*a + p*n for a.
-1
Suppose -3*h = -2*h - 15. Solve f - 6 = p, -5*f + 4*p + 13 = -h for f.
4
Suppose h - 2*d = 5*h + 2, -h + 7 = -d. Solve 3*l - h*m = 4, -3*l = -2*m + 4*m - 20 for l.
4
Let z(q) = -2*q - 38. Let a be z(-19). Solve -5*o = -a*h + 2*h, 25 = 5*o - 3*h for o.
2
Suppose 0 = t - 4*t. Suppose -2*w + s + 1 = t, 0 = -2*w - w + 2*s. Solve -5*m + 12 = -3*h - 1, w*m - 7 = 3*h for h.
-1
Let t(m) = 2 + 3 - 2 - m. Let s be t(0). Solve a + a = -f - 3, -4*a + s = 5*f for a.
-3
Suppose -a + 6 = a. Solve 11 = a*v - c, -3*v = -4*v - 5*c - 7 for v.
3
Let m = 24 - 36. Let b be 42/(-11) - m/(-66). Let r(u) = -2*u - 4. Let f be r(b). Solve f*s = 4*a, 0 = 2*a - s - 0 + 4 for a.
-4
Suppose c + 0*c = 16. Let q be (-116)/c - (-2)/8. Let h(k) = -2*k + 9. Let m be h(q). Solve d - g - 15 = -6*g, 3*d + m = 2*g for d.
-5
Suppose 4*j + 5*l + 12 = 0, 4*j - 5*l - 14 = 14. Let v be -7*((-40)/(-28) - j). Solve 2*p + 1 - 3 = 2*b, -4*b - 2*p = v for b.
-1
Let a = -27 - -20. Let v be (63/6)/a*-2. Solve -6*b + 4*x = -3*b, -21 = 3*b + v*x for b.
-4
Let s(d) = 9*d**2. Let w be s(-1). Let f = w + -6. Solve -6 = -f*b + v, 4*b - 6*v + v = -3 for b.
3
Let h(g) = -2*g - 17. Let a(s) = s + 9. Let n(u) = 5*a(u) + 2*h(u). Let y be n(-6). Solve -5*x = -25, y*x = -p - p + 29 for p.
2
Let q(k) = 6*k**2 + 3*k + 1. Let i be q(-2). Let y = -4 + 4. Suppose y = -4*b - 9 + 25. Solve 3*x + b*w = -i + 6, 2*x - 5*w - 22 = 0 for x.
1
Let t be 3*2/(-12)*0. Solve t = -4*u - n - 2*n + 4, -u + 1 = -5*n for u.
1
Suppose 2*j + 4*t - 16 = 0, -9*j - 2 = -4*j - 4*t. Solve 0 = -0*s - 5*s - l + 9, j*l = -s + 9 for s.
1
Let n = 66 - 66. Solve 3*m - h + 13 = n, m = -m + 5*h for m.
-5
Let i be (-18)/(-5) - (-8)/20. Suppose 15 = v - 3*d, -v - 3*d - 2*d - 17 = 0. Let o be
|
{
"pile_set_name": "DM Mathematics"
}
|
2*p - 1. Determine -3*t(k) + 8*v(k).
-2*k**3 - 4*k**2 - 32*k + 1
Let t(h) = -4*h**2 - 27*h - 7. Let w(f) = -2*f**2 - 14*f - 3. Suppose -10*o - 21*o + 24 = -43*o. Determine o*t(n) + 5*w(n).
-2*n**2 - 16*n - 1
Let z(h) = -7*h - 8. Let n = 14 - 13. Let v(b) = -2. Let q(k) = k + 13. Let x(a) = q(a) + 6*v(a). What is n*z(c) + 5*x(c)?
-2*c - 3
Let f(h) = 27*h**2 + 20*h + 8. Let n(v) = -v**2 - 6*v - 1. What is f(i) + 6*n(i)?
21*i**2 - 16*i + 2
Let f(v) = 23831*v - 13. Let n(u) = 115182*u - 63. Calculate 63*f(b) - 13*n(b).
3987*b
Let c(p) = 31*p**2 - 289*p - 2. Let q(a) = 14*a**2 - 144*a - 1. Calculate -4*c(l) + 9*q(l).
2*l**2 - 140*l - 1
Suppose 4*w + 3*t - 35 = 0, 3*t + 2*t = -2*w + 21. Let q(m) = -11*m**2 + 3*m - 8. Let u(d) = 0 - 5 - 1 - 3 + 5 - 7*d**2 + 2*d - 1. Give w*u(x) - 5*q(x).
-x**2 + x
Let k(c) = -5*c**3. Let d be 18/24*(-5 + 1). Let a(z) = 6*z**3. Determine d*k(n) - 2*a(n).
3*n**3
Let p(x) = 23*x - 1. Let v(d) = 91*d + 2129. Calculate 4*p(u) - v(u).
u - 2133
Let l(g) = g - 191. Let y(j) = 3*j - 291. Determine -7*l(u) + 4*y(u).
5*u + 173
Suppose -12*z + 25*z = 0. Suppose z = -52*j + 174 - 18. Let t(v) = 2*v**2 + 3*v + 3. Let r(g) = -g + 0*g + 0 - 1. Determine j*r(q) + t(q).
2*q**2
Let p(r) = -r**3 + r**2 + 2*r - 4. Let n(a) = -20646*a**3 - 12*a**2 - 24*a + 48. Determine n(o) + 12*p(o).
-20658*o**3
Let j(b) = -6*b - 7*b + 16*b**2 + 6*b**3 + 5 - 13*b**2 - 11*b**2 + 15*b. Let q(y) = -4*y**3 + 5*y**2 - y - 3. Calculate -5*j(p) - 8*q(p).
2*p**3 - 2*p - 1
Let n(r) = 38*r**3 + 9*r**2 + 10*r + 8. Let o(u) = u**3 + 3*u**2 + 3*u + 2. Determine n(b) - 4*o(b).
34*b**3 - 3*b**2 - 2*b
Let y(h) be the third derivative of -h**4/8 + h**3/2 + h**2 + 10. Let u(v) = 6*v - 6. Let g be (-1 - (0 - -2))/(171/(-627)). What is g*y(t) + 6*u(t)?
3*t - 3
Let i(k) be the first derivative of 2*k**3/3 - 2*k**2 + 2*k - 244. Let g(d) = d. Calculate 3*g(a) + i(a).
2*a**2 - a + 2
Let d(a) = a + 3. Let u = -8907 - -8902. Let t(r) be the first derivative of -r**2/2 - 4*r - 3. Determine u*d(y) - 6*t(y).
y + 9
Let y(h) = 2*h**3 - 7*h**2 + 5*h - 1. Let o be y(2). Let l(m) = 5*m. Let b(k) = 361 - 361 + 24*k. Determine o*b(t) + 16*l(t).
8*t
Let l(g) = -7*g**3 - 6*g**2 - 3086. Let w(h) = -15*h**3 - 13*h**2 - 6172. Determine -13*l(y) + 6*w(y).
y**3 + 3086
Let a(h) = 2*h**3 - 10*h**2 + 4*h + 7. Let y(q) = 2*q**3 - 11*q**2 + 5*q + 8. Suppose 3*i = 5*p - 23, -9*i - 4 = -5*p + 55. Calculate i*a(d) + 5*y(d).
-2*d**3 + 5*d**2 + d - 2
Let j(c) = -c**2 + c - 1. Let r(d) = 2*d**2 + 4 + d + 2*d + d - 8*d. Let f be 80 - (0/1 - 3). Let s = f - 87. Determine s*j(z) - r(z).
2*z**2
Let t(k) = -2186*k**3 + 8*k**2 + 7*k - 24. Let w(x) = -2189*x**3 + 9*x**2 + 8*x - 28. Determine -7*t(j) + 6*w(j).
2168*j**3 - 2*j**2 - j
Let j = -11120 + 11117. Let k(u) = 79*u**2 - 7*u - 9. Let c(x) = 39*x**2 - 3*x - 4. Calculate j*k(b) + 7*c(b).
36*b**2 - 1
Let a(y) = -9*y - 186. Let m(p) = -20*p - 365. Calculate -9*a(j) + 4*m(j).
j + 214
Let y(m) = m**2 - 175*m + 1339. Let p be y(8). Let c(l) = -l**2 + 4*l - 1. Let t(h) = -3*h. What is p*t(q) + 2*c(q)?
-2*q**2 - q - 2
Let q(b) = 34*b**2 + 29*b + 6. Let i(r) = 66*r**2 + 59*r + 10. Give 4*i(l) - 7*q(l).
26*l**2 + 33*l - 2
Let y(q) = -66*q**2 - 24*q. Let g(d) = -70*d**2 - 21*d. Give -6*g(k) + 5*y(k).
90*k**2 + 6*k
Let a(s) = -17*s - 2. Let g(x) = -4*x**3 - 518*x**2 + 262*x + 257. Let r be g(-130). Let y(p) = 1. Calculate r*y(o) - a(o).
17*o - 1
Let o(i) = 197*i + 1185. Let d be o(-6). Let t(k) = 34*k - 14. Let p(z) = -7*z + 3. Let x = -16 + 30. What is d*t(f) + x*p(f)?
4*f
Let d(t) = -63*t - 295. Let s(a) = 53*a + 296. Determine -5*d(r) - 6*s(r).
-3*r - 301
Let j = -1589 + 1606. Let p(q) = -57*q**3 + 6*q**2 + 3. Let b(x) = 19*x**3 - 2*x**2 - 1. Calculate j*b(g) + 6*p(g).
-19*g**3 + 2*g**2 + 1
Let x(o) = -o + 2. Let c(t) = 21*t - 10. Let s(m) = -47*m + 20. Let u(i) = 7*c(i) + 3*s(i). Let d(z) = z**3 + 7*z**2 + 2. Let j be d(-7). Give j*u(f) + 11*x(f).
f + 2
Let j(x) = -x + 161. Let c(d) = d - 177. Let s(f) = -10*c(f) - 11*j(f). Let m(h) = 76*h - 57. What is -m(q) + 57*s(q)?
-19*q
Let j be (3 - 2 - -1) + 90/(-10). Let y(v) = 12*v - 7. Let q(z) = 23*z - 15. Let m(g) = j*y(g) + 3*q(g). Let l(k) = 8*k - 2. Calculate 5*l(s) + 3*m(s).
-5*s + 2
Let v(l) = -30*l**2 - 14*l - 21. Let d(n) = 28*n**2 + 12*n + 16. Give -6*d(b) - 5*v(b).
-18*b**2 - 2*b + 9
Let j(w) = -24*w**3 + 3*w**2 + 28*w - 8. Let t(a) = -2*a**3 - a**2 - a + 2. Give -j(m) - 3*t(m).
30*m**3 - 25*m + 2
Let h(x) = -3*x**2 - x**3 + 69 + 39507*x - 81 - 39504*x. Let k(o) = -o**2 - 1. Calculate h(g) - 3*k(g).
-g**3 + 3*g - 9
Suppose 0 = -v + 4*x + 8, -2*v + 139 - 130 = -x. Let n(h) = 3 + 2 - h - 2 + 0. Let g(s) = 6. Let y(i) = 2. Let m(d) = 2*g(d) - 7*y(d). Give v*m(q) + 3*n(q).
-3*q + 1
Let b(l) = 2*l**2 + 8*l + 23. Let f(k) = 2*k**2 + 9*k + 30. What is 5*b(q) - 4*f(q)?
2*q**2 + 4*q - 5
Let s(y) = -7*y**3 - 2*y**2 - 1488*y - 2. Let k(t) = -11*t**3 - 3*t**2 - 1487*t - 3. Calculate -2*k(z) + 3*s(z).
z**3 - 1490*z
Let v(d) = 4*d - 6. Suppose -7*c + 90 = -12*c. Let k(g) = -6*g - 113. Let r be k(c). Let b(q) = -4 + 2 - 3 + 4*q. What is r*v(f) + 6*b(f)?
4*f
Let g(d) = -41*d**2 - 35*d - 4. Let v(b) = -2*b**2 - b - 1. Determine -g(z) + 6*v(z).
29*z**2 + 29*z - 2
Let t = -68817 + 68839. Let d be (-6)/(-2)*(-8)/6. Let f = d + 2. Let b(k) = k + 1. Let m(p) = -p**2 + 10*p + 10. Determine f*m(y) + t*b(y).
2*y**2 + 2*y + 2
Let c(t) = t**2 - 31*t - 94. Let h(i) = 9*i + 31. Give 2*c(o) + 7*h(o).
2*o**2 + o + 29
Let j(x) = -21*x**2. Let p(t) be the second derivative of -t**4/12 + 47*t - 12. Calculate j(u) + 3*p(u).
-24*u**2
Let z(a) = 3*a**2 - 285*a + 16. Let f(i) = -7*i**2 + 570*i - 34. What is -8*f(q) - 17*z(q)?
5*q**2 + 285*q
Let r(x) = 4*x**2 + 3*x + 13. Let s = 1848 + -1845. Let i(v) be the first derivative of 1/2*v**2 + 1/3*v**s + 10 + 4*v. What is 7*i(b) - 2*r(b)?
-b**2 + b + 2
Let p(n) = n**3 + 962*n**2 + 8*n - 2. Let x(h) = -2*h**3 - 1923*h**2 - 20*h + 5. Calculate 5*p(z) + 2*x(z).
z**3 + 964*z**2
Let k(z) = -127*z - 34. Let o(n) = 380*n + 96. What is 14*k(f) + 5*o(f)?
122*f + 4
Let h(n) = 33129*n**2 - 409*n. Let p(c) = -404*c**2 + 5*c. Give -5*h(q) - 409*p(q).
-409*q**2
Let w be 2/4*(-8 - 0). Let x(g) = -g**2 - 41*g - 145. Let q be x(-37). Let v(u) = 12 - q - u - 6*u**2 - 13. Let m(h) = 7*h**2 + h + 5. What is w*m(a) - 5*v(a)?
2*a**2 + a
Let y(x) = -2*x - 4. Let o(c) = -2*c**2 - 49*c - 42. Let h be o(-24). Let p be 8/36 + -2*(-38)/h. Let m(d) = 5*d + 11. Calculate p*m(a) - 11*y(a).
2*a
Let s(c) = 7*c**2 + 5*c + 4. Suppose 0 = -2*b - b + 12. Let k(o) be the first derivative of -20*o**3/3 - 7*o**2 - 11*o - 370. What is b*k(r) + 11*s(r)?
-3*r**2 - r
Let d(p) be the second derivative of 3*p**2/2 + 3*p. Suppose -247*y + 190*y + 399 = 0. Let c(z) = -z - 10. Give y*d(a) + 2*c(a).
-2*a + 1
Let c(l) be the first derivative of -l**3/3 + l**2/2 + 12*l + 1906. Let p(j) = j**2 - 2*j - 12. Give -4*c(f) - 3*p(f).
f**2 + 2*f - 12
Let b(n) = -13*n**3 - 27*n**2 - 5*n + 2. Let f(l) = 26*l**3 + 68*l**2 + 11*l - 4. Give 5*b(o) + 2*f(o).
-13*o**3 + o**2 - 3*o + 2
Let v be ((-12)/4 - -5)/(14/(-21)). Let x(w) = w**3 - 3*w**2 - w - 1. Let z(c) = -58*c**2 + c**3 + 2 + 53*c**2 - 3*c - 4 + 2*c. What is v*z(k) + 5*x(k)?
2*k**3 - 2*k + 1
Let v(n) = -2*n**2 + n - 1. Let j(o) = 1536*o**3 + 240*o**2 - 120*o + 120. Give j(z) + 120*v(z).
1536*z**3
Let t(q) = 14*q**3 - 3*q + 9. Let f(y) = 37*y**2 + 116*y - 7 - 37*y**2 + 11 + 7*y**3 - 117*y. Calculate -5*f(k) + 2*t(k).
-7*k**3 - k - 2
Let g(j) be the second derivative of 5*j**3/6 + 5*j**2 - 113*j. Suppose 0 = -3*z - 4*b, b = -4*z - 0*z + 13. Let k(f) = z*f + 13 - 6 + 2. Give -5*g(d) + 6*k(d).
-d + 4
Let c(g) = 105*g - 283. Let p(z) = -2*z + 36. Determine -c(l) - 8*p(l).
-89*l - 5
Let b(u) = 14*u - 59. Let v(y) = 3*y + 1. Give b(l) - v(l).
11*l - 60
Let t(u) = 29*u**3 - 46*u**2 + 43*u - 7. Let c(n) = -3*n**3 + 4*n**2 - n. Give 11*c(q) + t(q).
-4*q**3 - 2*q**2 + 32*q - 7
Let o(d) = -15*d**2 + 2*d. Let s(y) = -22*y**2 - y + 11*y**2 + 10*y**2 + y. What is -o(l) + 2*s(l)?
13*l**2 - 2*l
Let w = 407 - 246. Suppose -149 = -2*r - w. Let k(v) = -11*v**3 - 6*v**2 - v - 6. Let m(b) = 10*b**3 + 5*b**2 + b + 5. Calculate r*m(n) - 5*k(n).
-5*n**3 - n
Suppose -537*s - 56*s - 414 = 179. Let v(z) = 3*z - z - 6 + 4. Let b(w) =
|
{
"pile_set_name": "DM Mathematics"
}
|
= 4 - 0. Let p be (-138)/(-15)*2/(-4). Let m = 97/20 + p. What is the closest to m in 0, y, 0.2?
0.2
Let s = -3 - -1. Let h be s/(-8) - (-11)/20. Let o(q) = -q - 4. Let x be o(-3). What is the nearest to -1 in h, -1/2, x?
x
Suppose -5*w + 83 + 77 = 0. Suppose 4*z - w = -3*q, 4*z = 2*q - 7 + 19. Suppose m - z = 2*m. Which is the nearest to 1? (a) 5 (b) m (c) -2/3
c
Let b = 0.3 + 0.2. Let x be ((-44)/99)/((-8)/6). What is the closest to x in 5, -0.1, b?
b
Let n be (-3)/(-6) - 5/20. What is the nearest to -1 in -1, n, 0.1?
-1
Let d = -0.228 + 0.028. Which is the nearest to 1? (a) 4/5 (b) d (c) -3/8
a
Let x = 12 + -12.12. Let l = -0.02 - x. Let s = 0.2 + 0. Which is the closest to -0.1? (a) -4 (b) s (c) l
c
Suppose q + 13 = 15. Which is the closest to 1? (a) q (b) -4 (c) 4/7
c
Let p be (10*3/(-24))/(36/(-48)). Which is the closest to -0.1? (a) -0.01 (b) 5 (c) p
a
Suppose 3*h - 2*p = -1, -3*p = -8*p - 5. Let s = -6.97 + 7. Let u = 1.97 + s. What is the closest to 0 in u, h, 0.3?
0.3
Suppose -2*b - 3*b + g - 4 = 0, -g = 1. Let m = 7 + -7.03. What is the nearest to 1/4 in -5, b, m?
m
Let z = 98/15 - 22/3. Which is the closest to 0? (a) -2 (b) z (c) 2/15
c
Let v = 19 + -17. Let s = -3.1 - -3. Let r = -1.1 - s. What is the closest to r in 4, -3, v?
-3
Let g be (6 - 3)*(-4)/6. Let v = -1.5 - -1.7. What is the nearest to -0.1 in -0.3, v, g?
-0.3
Let i = -71/2 - -139/4. Let v = 0.12 - -0.38. What is the nearest to 2/3 in v, i, -5?
v
Suppose -2*h = 3*h - 15. Let l be (-1)/4*(1 + h). What is the closest to l in 1, -0.1, 0.1?
-0.1
Let d be 9/(-2)*(-12)/9. Let m be (d/(-4))/(14/(-7)). What is the nearest to 0 in -0.3, 5, m?
-0.3
Let m be (-2)/9*21/(-14)*2. Which is the nearest to m? (a) -0.5 (b) -5 (c) 7
a
Let o = 1/63 - -13/63. Which is the nearest to o? (a) 3 (b) 1/2 (c) -5
b
Let v = -4.3 + 0.3. Let h = 11 + -25. Let z be 20/h - 1*-2. What is the closest to -0.1 in 1, v, z?
z
Let x be ((-6)/(-15))/(8/5). Let g be (-25)/14 - (-22)/77. Which is the closest to x? (a) -0.3 (b) 2/3 (c) g
b
Let x(r) = r - 18. Let j be x(17). Let y = 1 - 1.1. Suppose -3*i - 1 = 2*d, 0*i = -2*d + 5*i + 23. Which is the nearest to y? (a) 2 (b) j (c) d
b
Let v be 10/(-12)*(-4)/(-15). Let y = -16/35 + 3/5. Which is the closest to -2/3? (a) y (b) v (c) 4
b
Let v = -1.1 + 2.1. Let r = 1 + v. What is the closest to r in -2/7, -2, -0.4?
-2/7
Suppose -3*z + 1 + 2 = 0. Let t = 0.33 + -0.13. Which is the nearest to 0? (a) z (b) t (c) -0.3
b
Let u = 2/89 - -83/267. Let g = -0.8 - -0.3. Let n = 1.5 - g. Which is the nearest to 0? (a) u (b) n (c) -1/5
c
Let h be 17/8 - (3 + -1). Let i = -7.8 + 2.8. Which is the nearest to -0.1? (a) i (b) h (c) 0
c
Let j = 11 - 11. Let x = 5.9 + -6. Which is the closest to j? (a) x (b) -4 (c) 5
a
Let n(v) = v**2 + 4*v. Let l be n(-4). Let w be -2 + 2/12*8. What is the closest to w in l, 5, 4?
l
Let v(q) = q**3 + 5*q**2 + q - 4. Let u be v(-5). Which is the closest to 1? (a) u (b) 0.4 (c) -1/2
b
Let v = -0.2 + 0.3. Let a = -0.45 - -0.45. What is the closest to a in -0.4, v, 1/2?
v
Let s = 52 - 105. Let q = -263/5 - s. Let x = 8 - 13. What is the nearest to -1 in q, -0.3, x?
-0.3
Let q = 26/3 + -9. What is the nearest to -1 in q, 5, 3?
q
Let y = 41 - 43. Let i = -0.3 + 0.5. What is the nearest to -2 in i, 2/5, y?
y
Let o = -4 + 5. Let d be (4/(-8))/(o/2). Let u = 1.5 - 2.5. What is the nearest to d in 5, 1, u?
u
Suppose -16 = d - 5*d, i - 5*d = -16. Let v = -24 - -23. Let t = 27 - 55/2. Which is the closest to t? (a) 2/5 (b) v (c) i
b
Let q be (1/9)/(1/(-2)). What is the nearest to 0.1 in q, 0.1, 0.4?
0.1
Let t = -8 - -12. Let y = -8.8 - -9. Which is the nearest to 0.1? (a) y (b) t (c) 3
a
Let v = 0.9 - 0.4. Let h = -1.9 - -2. Let q = 8 + -9. What is the closest to q in h, -1/9, v?
-1/9
Let i = 5 + -7. Let k = 1 - 3. Let q be k/5*(-1)/2. What is the closest to 0 in i, q, 3?
q
Let l be 2/(-6) - (-91)/147. Let t = -38.8 + 39. What is the nearest to l in -1/2, 2/15, t?
t
Let x = -1 - -0.7. Let p be (-2)/(-8)*(-20)/(-5). Which is the closest to p? (a) x (b) -6/5 (c) 0.5
c
Let k be (6294/(-20))/((-3)/(-1)). Let l be (-1048)/10 + 14/(-70). Let s = k - l. What is the nearest to -1 in 1/2, 4/5, s?
s
Let t(j) = j**2 + 11*j + 2. Let v be t(-12). Let s = v + -11. Let w(q) = -q - 4. Let k be w(-3). Which is the nearest to 2/5? (a) s (b) -4 (c) k
c
Let u = 1 + 0. Let m = 1 - u. Let o = -0.1 + m. Which is the nearest to o? (a) 2 (b) -0.1 (c) -1/6
b
Let g be (-2)/6 + (-5)/(-6). Let x = -2.84 + 2.5. Let l = -4.66 + x. Which is the closest to -0.1? (a) 3/7 (b) g (c) l
a
Let l = -0.3 - -0.4. Let i = -3.1 + l. Let h = i + 2.9. What is the closest to 1 in 2/11, 4, h?
2/11
Suppose -2*n - 6 = -8. What is the nearest to n in 2/3, -2, 0?
2/3
Let t = 6 + -6.08. Let w = 0.02 - t. Which is the closest to w? (a) 2 (b) 3 (c) 1/6
c
Let w = -0.67 + 0.47. Which is the closest to 1/4? (a) -2/11 (b) 2 (c) w
a
Let z = -5 + 1. Let j = -3 - -3.5. Let g = -0.3 + 2.3. What is the closest to g in -3/4, j, z?
j
Let j = -5 - -9. Let p = -0.9 + 0.8. Let i = p + 1.1. What is the nearest to i in -3, 2/5, j?
2/5
Let x = 1 - 9. Let c be (-1 - -2) + (-2)/x. Let p = 8.3 + -8. What is the closest to -0.1 in p, 5, c?
p
Let l = 6.9 + -9.9. Let v = -0.3 + 0.2. Which is the closest to -2/7? (a) -1/3 (b) v (c) l
a
Let j = -0.3 - 0.1. Which is the nearest to 1? (a) j (b) 1 (c) -4/5
b
Let d(n) = n - 4. Let p be d(6). Let i = -3 + 2. Which is the closest to i? (a) 1/7 (b) 5 (c) p
a
Let n = -0.07 + 0.03. Let d = n - -0.14. Suppose 4 = -2*y - 0. What is the nearest to 0 in y, d, -0.2?
d
Let t = 0.57 - 0.6. Let g = 0.43 + t. Let i = g + 0. What is the nearest to -0.1 in i, -1, 1/11?
1/11
Let p be (20/15)/(14/(-3)). What is the closest to p in -1, 11, 0.4?
0.4
Let g = 29 + -147/5. Let p = 1 + 1. Let w = p - 1.6. What is the closest to g in 0.3, w, 1/6?
1/6
Let p = 1 + 0. Suppose 4*f - 5 = 3. Which is the closest to p? (a) -2/9 (b) 1 (c) f
b
Let m = 5 - 3. Let n be 1 - (m - (-1)/(-1)). What is the closest to n in -4, 0, -0.4?
0
Let h = -1.7 - 6.3. Let z = h - -12. Let o = 6 - z. Which is the closest to 2? (a) -3/4 (b) o (c) -4
b
Let s = 3.9 - 3.8. Which is the nearest to s? (a) 1 (b) -2 (c) -1
a
Let b be (1/7)/((-7)/21). Let a = 0.8 - -0.2. What is the closest to a in -2, b, 1/3?
1/3
Let j = -5/21 + -2/21. Which is the closest to -1? (a) j (b) -3/5 (c) 2
b
Let o = 1.141 + -0.141. Let l = 4 - 11. Which is the closest to l? (a) -3 (b) o (c) 1/3
a
Let b(m) = m**3 + 3. Let d be b(0). Let z be 1/3*7/((-175)/(-30)). Suppose 16 = -3*c - c. What is the nearest to z in c, 0.3, d?
0.3
Let t = 1 - 6. Let h = -4 - -7. Suppose -y = -h*y. Which is the closest to y? (a) t (b) -1 (c) -0.5
c
Let t = 2.4 + -2. Let n = -11 + 9.9. Let v = n + 1. Which is the closest to v? (a) 2/9 (b) 0.2 (c) t
b
Let h = 0.2 - 0.3. Suppose f - 11 = w, 74 - 25 = -5*w + 2*f. Let t be (-3)/9*w - 7. What is the nearest to h in t, 0.2, -1?
0.2
Let y = 1 + -2. Let r = 43 - 39. Which is the nearest to 1? (a) r (b) y (c) -2/7
c
Let o be (1 - 0 - 0)*6/(-42). Let a = 3.9 - 4. Suppose 5*x - 2 = -12. What is the closest to a in o, -5, x?
o
Let o = -0.3 + -0.7. Suppose 1 = 2*q - 5. Let p = 219/4 + -55. Which is the nearest to p? (a) o (b) q (c) -0.3
c
Let w = 15 + -15. Suppose 4*p - 4*q + 8 = -0*p, 0 = -p + 3*q - 4. Which is the nearest to 0.01? (a) w (b) -0.5 (c) p
a
Let o(f) = f**2 - f + 2. Let z be o(0). Suppose d + 6 = -z*d. Let m = d + 1. What is the closest to -1 in 0.3, -0.3, m?
m
Let b = 0.6 - -0.4. Let v be -2*((-8)/6 + 2). What is the closest to b in v, -0.1, -2/3?
-0.1
Suppose 0 = -q - 2*q. Let k = 0.13 - 0.43. What is the closest to k in 0.4, q, 4?
q
Let l = -2 + 6. Let x be 40/(-42) - l/(-14). Let u = -3 + 4. What is the closest to x in u, 5, -5?
u
Let m = -12 - -8. Let s be (-5)/2 - (-4 - m). Let h = -11/4 - s. What is the nearest to -2 in h, 5, -1?
-1
Let j be 6/(-10)*30/(-6). Suppose j*o + 30 - 9 = 0. Let r(q) = -q - 3. Let i be r(o). Which is the closest to -0.1? (a) 0.2 (b) i (c) -3
a
Let g = -2/61 + 71/305. Which is the nearest to 0.1? (a) -0.3 (b) g (c) 3
b
Let a(b) = b**2 + 4*b. Let i be a(-3). What is the nearest to 4 in -4, i, -0.2?
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2)*(l + 1)
Let -5*f**4 - 45*f**3 - 115*f**2 - 15*f + 180 = 0. Calculate f.
-4, -3, 1
Factor -237*g**3 - 939*g**2 - 912*g + 36.
-3*(g + 2)**2*(79*g - 3)
Factor 2*v**3/13 - 10*v**2/13 - 28*v/13.
2*v*(v - 7)*(v + 2)/13
Factor k**4 + 51*k**3 + 192*k**2 + 188*k.
k*(k + 2)**2*(k + 47)
Factor 2*m**2/3 - 662*m.
2*m*(m - 993)/3
Let -4*u**4 + 24*u**3 + 124*u**2 - 624*u - 720 = 0. What is u?
-5, -1, 6
Factor -l**2/2 + 6189*l - 38303721/2.
-(l - 6189)**2/2
Factor -k**2/4 - 2690*k - 7236100.
-(k + 5380)**2/4
Factor r**4 + 3*r**3 - 69*r**2 - 35*r + 900.
(r - 5)**2*(r + 4)*(r + 9)
Let -6*h**5 - 15*h**4 + 357*h**3/8 + 231*h**2/8 - 87*h/4 + 3 = 0. Calculate h.
-4, -1, 1/4, 2
Factor 2*s**4 + 16*s**3 + 42*s**2 + 44*s + 16.
2*(s + 1)**2*(s + 2)*(s + 4)
Let -32*o**2 - 148*o - 80 = 0. What is o?
-4, -5/8
Solve -3*t**4 - 15*t**3 - 18*t**2 = 0 for t.
-3, -2, 0
Determine u, given that u**2/7 - 655*u/7 + 654/7 = 0.
1, 654
Find a such that 8*a**3/3 - 22*a**2 - 56*a/3 + 6 = 0.
-1, 1/4, 9
Factor 3*t**4/2 + 3*t**3/2 - 6*t**2 - 6*t.
3*t*(t - 2)*(t + 1)*(t + 2)/2
Factor -21*w**4/4 - 87*w**3/2 - 477*w**2/4 - 108*w.
-3*w*(w + 3)**2*(7*w + 16)/4
Solve -81*x**5 - 90*x**4 + 309*x**3 + 258*x**2 - 228*x - 168 = 0 for x.
-2, -1, -2/3, 1, 14/9
Find b, given that -3*b**2 - 768*b + 4716 = 0.
-262, 6
Determine l so that -l**5/2 + 17*l**4/2 - 21*l**3 - 2*l**2 + 28*l = 0.
-1, 0, 2, 14
Factor 3*w**2 + 2049*w.
3*w*(w + 683)
Factor -3*v**3 - 945*v**2 - 18000*v - 88500.
-3*(v + 10)**2*(v + 295)
Suppose d**2/2 + 6406*d + 20518418 = 0. Calculate d.
-6406
Let -15*q**5 - 10*q**4 + 270*q**3 + 660*q**2 + 545*q + 150 = 0. What is q?
-3, -1, -2/3, 5
Suppose 2*d**3/3 - 14*d**2 - 64*d - 200/3 = 0. Calculate d.
-2, 25
Find q such that 3*q**2/5 + 87*q/5 + 72 = 0.
-24, -5
Determine o so that 3*o**2/8 + 3*o + 21/8 = 0.
-7, -1
Factor 3*v**3/8 - 9*v**2/2 + 135*v/8 - 75/4.
3*(v - 5)**2*(v - 2)/8
Factor c**3 - 215*c**2 + 1056*c - 1260.
(c - 210)*(c - 3)*(c - 2)
Suppose 38*z**2/5 - 8*z + 2/5 = 0. What is z?
1/19, 1
Factor -3*p**5 - 6*p**4.
-3*p**4*(p + 2)
Determine p, given that -5*p**3 - 3095*p**2 - 480495*p - 477405 = 0.
-309, -1
Factor 4*h**5 - 68*h**4 + 224*h**3 - 208*h**2.
4*h**2*(h - 13)*(h - 2)**2
Factor 2*s**5/5 - 14*s**4/5 - 16*s**3/5.
2*s**3*(s - 8)*(s + 1)/5
Factor -1612*a**2/15 - 1074*a/5 + 4/15.
-2*(a + 2)*(806*a - 1)/15
Suppose 10*g**4/13 - 14*g**3/13 - 76*g**2/13 + 152*g/13 - 48/13 = 0. Calculate g.
-3, 2/5, 2
Factor 2*v**3/15 + 226*v**2/15 + 44*v/3 - 448/15.
2*(v - 1)*(v + 2)*(v + 112)/15
Determine c so that -2*c**4/7 + 6*c**3/7 + 18*c**2/7 - 54*c/7 = 0.
-3, 0, 3
Let -4*y**2/7 - 4344*y/7 - 1179396/7 = 0. Calculate y.
-543
Solve -p**2/5 - 264*p/5 - 17424/5 = 0.
-132
Find o such that 338*o**5/9 - 3068*o**4/9 + 5402*o**3/9 + 2360*o**2/3 + 200*o = 0.
-6/13, 0, 5
What is q in 2*q**5/7 - 2*q**4/7 - 10*q**3/7 - 6*q**2/7 = 0?
-1, 0, 3
Let 3*h**2/4 + 33*h/2 + 30 = 0. Calculate h.
-20, -2
Factor -4*y**3 + 96*y**2.
-4*y**2*(y - 24)
What is c in 3*c**4 - 12*c**3 + 6*c**2 + 12*c - 9 = 0?
-1, 1, 3
Factor 2*a**3 + 172*a**2 + 3520*a - 7744.
2*(a - 2)*(a + 44)**2
Factor f**3 + 11*f**2 - 4*f - 44.
(f - 2)*(f + 2)*(f + 11)
What is z in z**5/5 - 2*z**4 - 3*z**3/5 + 28*z**2/5 + 4*z = 0?
-1, 0, 2, 10
Factor 20*h**4 - 220*h**3 + 885*h**2 - 1540*h + 980.
5*(h - 2)**2*(2*h - 7)**2
Suppose v**3/6 - v**2/6 - 4*v/3 + 2 = 0. What is v?
-3, 2
Factor 3*a**2 + 1356*a - 1359.
3*(a - 1)*(a + 453)
Let -2*b**3/7 - 468*b**2/7 - 4498*b/7 - 576 = 0. What is b?
-224, -9, -1
Let i**2/4 + i/4 - 3 = 0. Calculate i.
-4, 3
Factor -2*n**4 + 26*n**3 + 166*n**2 + 246*n + 108.
-2*(n - 18)*(n + 1)**2*(n + 3)
Factor -b**3 + 31*b + 30.
-(b - 6)*(b + 1)*(b + 5)
Suppose 3*m**3/8 - 9*m**2/2 - 129*m/8 - 45/4 = 0. Calculate m.
-2, -1, 15
Factor m**2/6 + 1708*m + 4375896.
(m + 5124)**2/6
Solve 2*o**4 + 170*o**3 + 164*o**2 - 336*o = 0 for o.
-84, -2, 0, 1
Let -4*a**4 - 60*a**3 - 108*a**2 - 52*a = 0. Calculate a.
-13, -1, 0
Suppose -2*d**2/13 - 60*d/13 - 450/13 = 0. Calculate d.
-15
Factor -3*o**3 + 471*o**2 - 17760*o - 57600.
-3*(o - 80)**2*(o + 3)
Suppose -10*a**2 - 52*a + 510 = 0. Calculate a.
-51/5, 5
Let p**3 - 109*p**2 + 3024*p - 2916 = 0. What is p?
1, 54
Factor 2*w**4 - 40*w**3 + 74*w**2 - 36*w.
2*w*(w - 18)*(w - 1)**2
Factor -l**3 + l**2/3 + 4*l - 4/3.
-(l - 2)*(l + 2)*(3*l - 1)/3
Solve 18*s**2/7 + 34*s/7 + 16/7 = 0.
-1, -8/9
Determine h, given that 30*h**5 - 85*h**4 - 165*h**3 + 65*h**2 + 135*h + 20 = 0.
-1, -1/6, 1, 4
Let -2*q**3 - 24*q**2 = 0. Calculate q.
-12, 0
Suppose z**4/10 + z**3/2 + 2*z**2/5 = 0. What is z?
-4, -1, 0
Determine i, given that -i**2 + 1817*i + 1818 = 0.
-1, 1818
Factor 21*x**3/2 + 102*x**2 + 303*x/2 + 60.
3*(x + 1)*(x + 8)*(7*x + 5)/2
Factor -f**4/2 - 53*f**3/2 - 545*f**2/2 + 4553*f/2 + 2523.
-(f - 6)*(f + 1)*(f + 29)**2/2
Factor -5*x**2 - 295*x - 1590.
-5*(x + 6)*(x + 53)
Let -y**3 + 5*y**2/2 - 2*y + 1/2 = 0. What is y?
1/2, 1
Factor 2*z**3/3 - 66*z**2 + 1132*z/3 - 496.
2*(z - 93)*(z - 4)*(z - 2)/3
Factor 5*p**3 - 78*p**2 + 108*p + 56.
(p - 14)*(p - 2)*(5*p + 2)
Factor w**4/3 - 4*w**3 + 35*w**2/3 - 8*w.
w*(w - 8)*(w - 3)*(w - 1)/3
Factor -d**2 - 13056*d - 42614784.
-(d + 6528)**2
Factor q**4/5 + 44*q**3/5 + 598*q**2/5 + 2508*q/5 + 3249/5.
(q + 3)**2*(q + 19)**2/5
Factor -g**4 + 31*g**3 - 57*g**2 - 1287*g - 2430.
-(g - 27)*(g - 10)*(g + 3)**2
Let 3*t**3/5 - 27*t**2/5 + 81*t/5 - 81/5 = 0. What is t?
3
Factor 46*p**3/3 - 376*p**2/3 + 616*p/3 - 32.
2*(p - 6)*(p - 2)*(23*p - 4)/3
Determine f, given that f**2 - 2423*f - 4850 = 0.
-2, 2425
Factor -m**4/4 + 5*m**3/2 + m**2 - 77*m/2 - 147/4.
-(m - 7)**2*(m + 1)*(m + 3)/4
Factor i**4/2 + 21*i**3/2 + 39*i**2/2 + 19*i/2.
i*(i + 1)**2*(i + 19)/2
Factor 5*a**5/3 + 20*a**4/3 + 25*a**3/3 + 10*a**2/3.
5*a**2*(a + 1)**2*(a + 2)/3
Solve -2*q**3/7 - 48*q**2 = 0.
-168, 0
Factor -20*v**3 - 145*v**2 + 1165*v + 300.
-5*(v - 5)*(v + 12)*(4*v + 1)
Factor -3*f**3 + 426*f**2 + 861*f + 432.
-3*(f - 144)*(f + 1)**2
Factor -2*k**3 - 3*k**2 + 3*k + 2.
-(k - 1)*(k + 2)*(2*k + 1)
Solve -u**3 + 50*u**2/3 - 116*u/3 + 56/3 = 0 for u.
2/3, 2, 14
Factor -107811*b**4/4 + 29403*b**3 - 5049*b**2/2 + 75*b - 3/4.
-3*(b - 1)*(33*b - 1)**3/4
Determine a so that -2*a**4 + 52*a**3 + 2742*a**2 + 24248*a + 21560 = 0.
-14, -1, 55
Factor 2*k**4/3 - 38*k**3 + 204*k**2.
2*k**2*(k - 51)*(k - 6)/3
Factor k**3 + 11*k**2.
k**2*(k + 11)
Factor -m**2/3 + 1471*m/3 - 2938/3.
-(m - 1469)*(m - 2)/3
Factor 2*k**5 + 14*k**4 + 4*k**3 - 128*k**2 - 192*k.
2*k*(k - 3)*(k + 2)*(k + 4)**2
Determine u so that u**5/6 - 2*u**4/3 - u**3/6 + 2*u**2/3 = 0.
-1, 0, 1, 4
Factor -3*c**2/7 + 3*c/7 + 330/7.
-3*(c - 11)*(c + 10)/7
Find q such that -4*q**3 + 8*q**2 + 4*q - 8 = 0.
-1, 1, 2
Factor 15*g**3 - 385*g**2 - 140*g + 260.
5*(g - 26)*(g + 1)*(3*g - 2)
Factor 5*p**3 + 85*p**2 + 280*p + 260.
5*(p + 2)**2*(p + 13)
Factor -5*x**3/3 - 610*x**2/3 - 6400*x - 12000.
-5*(x + 2)*(x + 60)**2/3
Solve -2*o**3 - 16*o**2 - 42*o - 36 = 0 for o.
-3, -2
Factor -4*k**2/3 + 256*k + 1552/3.
-4*(k - 194)*(k + 2)/3
What is i in -2*i**5 - 32*i**4 + 112*i**3 - 44*i**2 - 110*i + 76 = 0?
-19, -1, 1, 2
Factor a**3/4 + 7*a**2/4 - 17*a/4 + 9/4.
(a - 1)**2*(a + 9)/4
Solve 8*q**2/7 - 50*q/7 + 12/7 = 0.
1/4, 6
Suppose t**5 - t**4 - 5*t**3 + t**2 + 8*t + 4 = 0. What is t?
-1, 2
Factor -87*t**2 - 171*t + 6.
-3*(t + 2)*(29*t - 1)
Factor m**2/2 + 1152*m - 2305/2.
(m - 1)*(m + 2305)/2
Factor -19*k**3/5 - 44*k**2/5 - 12*k/5.
-k*(k + 2)*(19*k + 6)/5
Determine x so that -8*x**4/5 + 68*x**3/5 - 88*x**2/5 + 28*x/5 = 0.
0, 1/2, 1, 7
Determine k, given that -3*k**4 - 18*k**3 - 15*k**2 = 0.
-5, -1, 0
Factor -3*y**4 - 462*y**3 - 19539*y**2 - 134904*y - 255792.
-3*(y + 4)**2*(y + 73)**2
Factor -t**5 + 141*t**4 + 285*t**3 + 143*t**2.
-t**2*(t - 143)*(t + 1)**2
Factor -4*o**3 + 28*o**2 + 192*o - 720.
-4*(o - 10)*(o - 3)*(o + 6)
Find y such that 2*y**2 - 10*y - 28 = 0.
-2, 7
Determine g, given that -2*g**2/3 - 74*g + 2420/3 = 0.
-121, 10
Factor 4*c**3/5 - 28*c**2/5 - 196*c/5 + 1372/5.
4*(c - 7)**2*(c + 7)/5
Find d, given that 25*d**5/2 - 135*d**4/2 - 150*d**3 + 70*d**2 = 0.
-2, 0, 2/5, 7
Let 14700*o**5 - 15120*o**4 + 423*o**3 - 3*o**2 = 0. What is o?
0, 1/70, 1
Find w such that -5*w**5 + 50*w**4 - 85*w**3 + 40*w**2 = 0.
0, 1, 8
Factor 3*c**4 - 39*c**3 - 9*c**2 + 111*c + 78.
3*(c - 13)*(c - 2)
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2)*(-2*t**2 + 4*t**2 + 0*t**2).
-28*t**4
Expand (-2*c + 0*c + c)*((2 - 2 + 2*c)*(0 + 0 + 2) + 0*c - 2*c - c + 0*c + 0*c + 2*c).
-3*c**2
Expand (-1 + 1 - 2*u)*((5*u + 2*u + 2*u)*(2*u + 2*u - 3*u) + 0*u**2 - 3*u**2 + 5*u**2).
-22*u**3
Expand (-9*g**2 + 4*g**2 + 3*g**2)*(0*g**2 - g**3 + 0*g**2).
2*g**5
Expand (3 - 3 + 1)*(2*d - 24 + 24) + (2 - 1 + 1)*(d + 2*d - 5*d) - 1 + 1 + d.
-d
Expand (-s - 2*s + 4*s)*((-3 + 1 + 4)*(6*s - 2*s - s) + 2 - s - 2).
5*s**2
Expand 0*b**5 + b**5 + 0*b**5 - 2*b**4 - b**5 + 2*b**4 + 5*b**5 + b**5 - 2*b**5 + (5 - b**2 - 5)*(-4*b + 4*b + 2*b**3).
2*b**5
Expand (2*k + 3 - k - 9)*(7*k - 30*k + 9*k).
-14*k**2 + 84*k
Expand (1 + 1 - 1)*(p + p + 0*p)*(-2 - 1 + 2).
-2*p
Expand (5*t + t**2 - 5*t + (0*t - 2*t + 4*t)*(-3*t + t + 0*t) - 2*t**2 - 3*t**2 + 3*t**2 + 0*t**2 + 2*t**2 - 3*t**2)*(0*t + 2*t - t).
-6*t**3
Expand 2 + 2*x**2 - 2 + (3 - 3 + 2*x)*(-32*x - 22*x + 52*x + x + x - 4*x + (0 + 1 + 1)*(3*x + 0*x - 5*x) + 2*x + 3*x - 3*x).
-10*x**2
Expand -3*g + 2*g + 2*g + (g - 2*g + 0*g)*(-4 + 2 + 0).
3*g
Expand 0 - x + 1 + 0 + (-3 - 2 + 4)*(-4*x + 2*x + 3*x).
-2*x + 1
Expand (r + 3*r - 6*r)*(-1 + 0 + 2)*(0 + 0 - 5).
10*r
Expand (0*d + 0*d - d**2)*(0*d + 4*d - d) + 2*d**3 + 3*d**3 - 3*d**3.
-d**3
Expand (-2*i + 4 - 4)*(-1669*i**2 + 1669*i**2 + 45*i**3).
-90*i**4
Expand (3*g**2 + 1 - 4*g**2 + 3*g**2)*(2*g + g - g).
4*g**3 + 2*g
Expand ((-3*x + 2*x - x)*(-3*x - 2*x + 3*x) - 7*x**2 - 33*x**2 - 78*x**2)*(1 - 2 + 2).
-114*x**2
Expand (d**3 - 2*d**3 - d**3 + (-4*d + 4*d + 2*d**2)*(2*d + 0*d - 3*d) - 5*d**3 + 3*d**3 + 3*d**3 + 3*d**3 - 3*d**3 + 2*d**3)*(0*d**2 - d**2 + 4*d**2).
-3*d**5
Expand 2*q**2 - 3*q**2 + 0*q**2 + (0*q + 0*q - 2*q)*(q + 1 - 1) - 3*q**2 + 0*q + 0*q + 0*q**2 - 2*q + 4*q - 2*q**2 + (q**2 - 2*q + 2*q)*(1 - 2 + 2).
-7*q**2 + 2*q
Expand (3*g**2 + 1 - 1)*(2*g + g - 5*g) - 3*g**3 + 3*g**3 - 2*g**3 + (g - g + g**2)*(3*g - 6*g + g).
-10*g**3
Expand (u**4 + 2*u**4 - u**4)*(3*u + 23*u + 6*u).
64*u**5
Expand 0 + q + 0 + (-q + 3*q - q)*(-1 - 3 + 5) + 2 - 2 - 2*q + 1 - 1 + 2*q.
2*q
Expand (-5 + 1 + 2 + 2 + 0 - 4 + (-1 - 1 + 0)*(-2 - 3 + 3) - 1 + 2 - 2 - 2 + 1 - 3)*(2*y + 3*y**2 - 2*y).
-15*y**2
Expand (-3 + 1 + 1)*(2*j + j**2 - 2*j) + 0*j**2 - 2*j**2 + 0*j**2 + (j + j - 4*j)*(-2*j - j + 5*j) - j - j**2 + j.
-8*j**2
Expand (-o - 2*o + o)*(0 + 0 - 4) - 4*o - 4*o + 2*o.
2*o
Expand -2 + 2*b - 3*b - b + (0 + 4 - 5)*(4 - 4 + b).
-3*b - 2
Expand (1 - 1 + b)*(-7 + 8 - 7).
-6*b
Expand (k**2 - 7*k**2 + 2*k**2)*(-1 - 2 + 4)*(1 + 2 - 4).
4*k**2
Expand (g**2 - g**2 + 2*g**2)*(g - 3*g + 0*g) + (6*g**2 - 4*g**2 + 2*g**2)*(5*g - 4*g - 3*g).
-12*g**3
Expand -4*a + 3*a + 2*a + (6 - 1 - 1)*(-a - 7*a + a).
-27*a
Expand (1 + 3 - 6)*((-z + 0 + 0)*(-2*z**4 - z**3 + z**3) - 2*z**5 - 4*z + 4*z + (-2 + 3 - 3)*(-3*z**5 - 4*z**5 + 3*z**5)).
-16*z**5
Expand (4 - 3*q - 4)*(2*q - 3*q + 0*q) + (3*q - q + q)*(q + q - 1 + 3*q).
18*q**2 - 3*q
Expand (2*d - 3*d + 3*d)*(-4*d**3 + 9*d**3 + d**3) - 2*d**2 + d**4 + 2*d**2.
13*d**4
Expand (t**4 - 3*t**4 - t**4)*(2*t - 3*t - t)*(0 + 1 - 2).
-6*t**5
Expand (-14*c + 3*c**2 + 14*c)*((3*c - 4*c - c)*(3 + 2*c**2 - 3) - c - c**3 + c).
-15*c**5
Expand -g + 5*g - 3*g + (6*g - 5*g + 9*g)*(-2 - 4 + 3).
-29*g
Expand (200*g + 2 - 200*g + 46*g**2)*(0*g + g + 3*g).
184*g**3 + 8*g
Expand (-2*v**2 + 3*v - 3*v)*(2*v**2 - 4*v**2 - v**2) - 6*v**4 + 5*v**4 - 4*v**4 + 6*v.
v**4 + 6*v
Expand (-3 + 2 - 1)*(-2*q**3 + 5*q**3 - q**3) + 39 - 2*q**3 - 38 + 3*q**3.
-3*q**3 + 1
Expand h**3 - 3*h**3 + 3*h**3 + 0*h**3 + 4*h**3 + 0*h**3 + 0*h**3 + 0*h**3 - h**3 + (0*h + 0*h + 2*h**2)*(2*h - 2*h - h).
2*h**3
Expand (-7 - 7 + 5)*(-2 + 5 - 1)*(-2*u - 3*u + 0*u + (-3 + 3 + 2*u)*(-3 - 1 + 5)).
54*u
Expand -4*l**5 + 3*l**5 - l**5 + 4*l**5 + 7*l**5 + 10*l**5 + (-2*l**3 - 2*l**3 + 6*l**3)*(-2*l**2 + 2 - 2).
15*l**5
Expand (3 + 5*v**3 - 6*v**3 - v**4 + 3*v**3)*(33 - 5*v - 33).
5*v**5 - 10*v**4 - 15*v
Expand (0 + 2*t**2 + 0)*(3 + 2*t - 3) + (0 + 0 - t)*(-28*t**2 - 8*t**2 + 10*t**2)*(-2 - 4 + 4) + (2*t**2 - 1 + 1)*(-3*t + 3*t + 2*t).
-44*t**3
Expand (-3*z**3 + 3*z**3 + 2*z**3)*(2 - 6 + 2)*(5 - 2 - 2) - 2*z**3 - 2*z**2 + 2*z**2.
-6*z**3
Expand (-2 + 1 + 2)*(9*l**3 + 46*l**2 - 46*l**2).
9*l**3
Expand (2*d**3 + 2*d**3 - 3*d**3)*(1 - 2 - 2 + (1 - 1 - 1)*(-2 + 2 - 2)).
-d**3
Expand x**5 - 17*x**5 - 18*x**5 + (2*x**2 + x**2 - 5*x**2)*(2*x - 2*x**3 - 2*x) + 2*x**5 - x**5 + 0*x**5 + x**2 - x**2 + 2*x**5.
-27*x**5
Expand (-3 + 3 - 2)*(-t**4 + t**4 - 4*t**4).
8*t**4
Expand -6*u**4 + 2*u**4 + 2*u**4 + (0*u - 2*u + 3*u)*(-u**3 + 5*u**3 - 5*u**3) + (2 - 2 + 2*u)*(-u**2 - u**3 + u**2) + (-2 + 6 - 3)*(2*u + 3*u**4 - 2*u).
-2*u**4
Expand ((-3*f - 3*f + 5*f)*(4 - 7 + 2) - f + f + 2*f + 1 - f - 1)*(2*f**3 - 4*f**3 + f**3) - f**4 + 3*f**4 - 4*f**4.
-4*f**4
Expand (38 + 33 - 22)*(2*n**2 + 2*n**3 - 2*n**2) + 3*n**3 - 5*n**3 + 0*n**3.
96*n**3
Expand (44 - 44 + v**2)*(-3 + 2 + 3)*(-3*v**2 + 5*v**2 - v**2).
2*v**4
Expand 0*z - z - z + 4 - z - 4 + (3 - 3 + 1)*(-z - z + 0*z) - 3*z - 2*z + 4*z.
-6*z
Expand 4*i**3 + i**3 - 3*i**3 + i**3 + 3*i**3 - 2*i**3 + i**3 - i**3 + 2*i**3 + (2*i - i - 2*i)*(-4*i**2 - 2*i**2 + 5*i**2) - i - 3*i**3 + i.
4*i**3
Expand 0*m**2 + 3*m**2 + 0*m**2 + (-5*m + 3*m - m)*(-2*m + 6*m - 2*m) + (2*m - 2 + 2)*(-5*m + 2*m + 5*m) + 0*m**2 + m**2 - 3*m**2.
-m**2
Expand (1 + 5 + 4)*(-4*x + 5*x + 2*x).
30*x
Expand r**2 + 0*r - 2*r + 3*r + (-2 - 5*r + 2)*(-3*r + 0*r + 4*r).
-4*r**2 + r
Expand (-3*z**2 + 3*z**2 - z**3)*(3 - 3*z - 7 + 6).
3*z**4 - 2*z**3
Expand (-4 + 0 + 2)*(-4*a + 2*a + 3*a) - 2 - 5 + 6 - 5*a.
-7*a - 1
Expand (0*s + 2*s + 0*s)*(0*s + 0*s - s) + (-5*s + 5*s + 6*s)*(s + 0*s + 0*s).
4*s**2
Expand (2*c**3 - 1 + 1)*(-2 + 2 - 2*c) + 25*c**4 + 0 + 0 + (c**3 + c**3 - c**3)*(-5*c + 2*c + c).
19*c**4
Expand (-3*l + l + l)*(3 + 0 - 4) + 6*l - 2*l - 2*l - l + 2 - 2.
2*l
Expand 0*d**5 - d**5 + 0*d**5 + (-5*d - 3*d + 5*d)*(-5 + 2 + 1)*(-2*d**4 + 2*d**4 - d**4).
-7*d**5
Expand (-1 + 5 - 3)*(2*c**3 - 4*c + 4*c) + c**2 - c**3 - c**2 + (6*c**2 - 2*c**2 - 2*c**2)*(3 + 2*c - 3) - 7*c**3 - 3 + 3 + (-4 + 4 - 2*c**2)*(-2*c - 1 + 1).
2*c**3
Expand (w + 17 + 0*w - 19)*(-4*w - 2*w + 4*w)*(-w + 4*w - 5*w).
4*w**3 - 8*w**2
Expand (-2*j + 7*j - 3*j)*(-6 - 72 - 9).
-174*j
Expand (0*j + 0*j - j)*(-2*j**3 + j**3 + 2*j**3) + 3*j**4 - 3*j**4 - j**4 + 313*j + 2*j**3 - 313*j - 3*j**4.
-5*j**4 + 2*j**3
Expand -m + 6*m**3 - 16*m**2 - 8*m**2 + 21*m**2 + (-m + m - 2*m)*(5*m**2 - 2*m**2 - 5*m**2).
10*m**3 - 3*m**2 - m
Expand 4*y - 2*y + 0*y + (1 + 1 + 6)*(-2 + 2 + 2*y).
18*y
Expand (7*t - 10*t + 0*t)*(4*t - 2*t - t).
-3*t**2
Expand (-13*l**3 - 4*l + 2*l + 14*l**3)*(1 + 1 + 0).
2*l**3 - 4*l
Expand 2*j**2 - 2*j**2 - j**3 + j + 3*j**3 - j - j**3 + 4*j**3 - j**3 + (-j**3 + 2*j**3 + 0*j**3)*(1 + 0 + 1) + 0*j - 2*j**3 + 0*j.
4*j**3
Expand (-u + 2 + 0 - 1)*(-4*u**3 - 18*u**3 - u**3).
23*u**4 - 23*u**3
Expand (-2*r + 0 + 0)*((3*r + 0*r + 0*r)*(4 - 1 - 2) + r - r - 4*r).
2*r**2
Expand (5*u - 5*u - 3 + u)*(-2*u - 3*u + 2*u)*(-u**3 - u**2 + u**2).
3*u**5 - 9*u**4
Expand (v - v - v)*(-4 + 4 + 2)*(-4*v**2 + 0*v**2 + 2*v**2).
4*v**3
Expand -3 + 3 + f + 1 - 1 - 4*f + (5 - 1 - 2)*(-2*f + f - f).
-7*f
Expand -3 + 3 + 3*h**3 + (1 + h - 1)*(h**2 + 0*h + 0*h) + 10*h**2 + 0*h**3 - 7*h**2 - 2*h**3.
2*h**3 + 3*h**2
Expand (-1 + 2 + 0)*(0*w - 2*w**2 + 0*w) + (4*w - 20*w + 0*w)*(w + 2*w - 4*w).
14*w**2
Expand -3*y - y + 6*y + 0*y + y + y + (2 - 2 + 2*y)*(3 - 1 - 1) - 2 + y + 2 + 34*y - 5*y - 16*y.
20*y
Expand (4*k - k + k)*(1 - 2 + 0) - 4*k - k + 4*k + (2*k - 2*k - k)*(-2 + 1 + 2).
-6*k
Expand (r**3 + 2*r**3 - 4*r**3)*(-r + 5*r - 3*r) + (r**3 + 0*r**3 + r**3)*(2 - 2*r - 2) - 3*r**4 + 3*r**4 - 2*r**4.
-7*r**4
Expand -18*l**3 + l**3 + 4*l**3 - 2*l**3 - 2*l**3 + 5*l**3 + 2*l**3 - 2*l**3 - 2*l**3 + (0*l + l**2 + 0*l)*(-3*l + 3*l - l).
-15*l**3
Expand (3*l - 7*l + 3*l + (0*l - l - 2*l)*(-4 + 4 + 1) + l - l - 2*l)*(-l**2 + 0*l + 0*l).
6*l**3
Expand (-10*x - 5*x - x)*(4 - 2 - 1 + (-1 - 2 + 1)*(2 + 1 - 2)).
16*x
Expand (o - o + o**2)*(-o**3 + 0*o**3 + 0*o**3) + 0*o**2 + 168*o**5 - o**2 - 178*o**5.
-11*o**5 - o**2
Expand (b + 2*b - b - 3*b + 2*b + 2*b + (3 + 2*b - 3)*(-3 + 2 + 3) + 6*b - 2*b - 2*b)*(13*b**3 + 3*b**3 - 9*b**3)*(2*b - 3*b - 2*b).
-189*b**5
Expand (3*q + 0*q - q)*(5 + 1 + 0) + 0*q - q - q.
10*q
Expand (-2*v**3 - 4
|
{
"pile_set_name": "DM Mathematics"
}
|
e 0 = -199*q + 198*q + 10. Find the common denominator of -21/5 and 3/30*13*(1 - q).
10
Let x(j) = -2*j**2 - 14*j + 108. Let y(b) = -43*b**3 + 2*b**2 + b. Calculate the smallest common multiple of x(-11) and y(-1).
220
Let c = -1398 + 1402. Calculate the smallest common multiple of 10 and c.
20
Find the common denominator of 49/108 and 475/1140*(-66)/40.
432
Suppose -4*o = -o - 4752. Calculate the common denominator of 2 - 40/18 - (-649)/o and -39/14.
112
Let t be (3 + -1)*14/(-28). What is the smallest common multiple of (15 - 5)/((-2)/t) and 4?
20
What is the common denominator of 79/144 and 30/105*(-5012)/(-240)?
720
Suppose 0 = 3*h - 5*o - 70386, o = -2*h + 7*h - 117310. Let q = h + -445605/19. Let s = q + -4657/380. Find the common denominator of s and 37/66.
660
Let k(j) = -j**2 - 7*j + 1. Let o be k(-5). Suppose o*a + 56 = 15*a. Suppose -3*d + 15 = -3*q + 8*q, -2*d = 10. What is the smallest common multiple of a and q?
42
Let i = 63 - 57. Suppose -110 = -7*b + 310. Calculate the smallest common multiple of i and b.
60
Find the common denominator of -21/47 and (-14)/(-21) + 454/(-24) + 1.
188
Let n(w) = -w**3 + 3*w**2 + 4*w + 1. Let k be n(4). Suppose -4*f = -7*f + 6. What is the lowest common multiple of f and 0 + 0 + k*3?
6
Suppose 5*p + 4*p - 294930 = 0. Let n = p - 589709/18. Calculate the common denominator of n and 3*((-9)/(-8) - 1).
72
Suppose 5*w = 562 - 482. Calculate the least common multiple of 5 and w.
80
Let i = 30 - -42. Calculate the common denominator of 87/40 and (-6 - -1) + 1254/i.
120
Find the common denominator of 125/84 and 143/12 + (-19 - -16).
84
Find the common denominator of -85/18 and (-6 - 1) + 22712/2924.
774
Suppose -42 = -7*d + 70. What is the least common multiple of d and 178?
1424
Suppose -5*z - 2*k = -280, -3*z + 203 = k + 34. What is the lowest common multiple of 3 and z?
174
Let w = -65319836 + 392844161/6. Let q = w - 154538. Let a = q + 336. Calculate the common denominator of a and -59/10.
30
Suppose -8*x = 239 - 1199. What is the lowest common multiple of x and 12?
120
Let o = 1/6094 - -82231/231572. What is the common denominator of o and -53/32?
608
Let a be 34/(-1*(4 + -3)). Let f = a + 36. Suppose 25 = 3*y - 2*j + 7, 2*y = 5*j + 23. What is the lowest common multiple of y and f?
4
Find the common denominator of (-122)/(-2)*2/4 and 13/39 + (2 - (-67)/12).
12
Find the common denominator of (-3)/7 - (-1392)/203 and 133/18.
126
Suppose 0 = -2*n + 5*s + 313, 5*n - 3*s = 1221 - 486. Suppose 6*p - 150 = n. What is the common denominator of -10/3 and p?
3
Suppose -44 = 2*f + 5*n, f + 16 = -n - 0. Let t(s) = 5*s**3 - 6*s + 7. Let m be t(-3). What is the common denominator of 12/4 - m/f and 73/2?
6
Let r = -8525/24 - -355. What is the common denominator of (75/(-16))/(9/6) and r?
24
Suppose 0 = w - 3*r - 73, -3*w + 8*r = 5*r - 189. Let u = 61 - w. What is the lowest common multiple of u and 16?
48
Suppose 0 = -6*i + 84 - 72. Calculate the least common multiple of i and 54.
54
Let k(t) = -2*t**2 + 7*t - 7 + 0*t**2 + t**2. Suppose -58*f + 16 = -50*f. What is the lowest common multiple of k(5) and f?
6
Suppose 44 = -21*y + 212. Calculate the lowest common multiple of y and 18.
72
Let q(h) be the first derivative of -h**2/2 + 2*h - 6. Let d be q(-2). Suppose d*v - 18 = v. What is the smallest common multiple of v and 16?
48
Let r = -11 - -15. Suppose -f + 505 = r*f. Suppose 2*h = 3*n - f, 0*h + h = n - 32. Calculate the common denominator of n and 23.
1
Let o = -10 - -8. Let u = o + 3. Find the common denominator of 52/(-40) + u + 1 and -27/22.
110
Let a(l) = 18*l**3 + 2*l**2 + 2*l - 1. Let k be a(5). Let y = 1225993/30 + -192838/5. Let c = y - k. Calculate the common denominator of 19/18 and c.
18
Let p = -160 + 43. Let i = -533/4 - p. Let v = 2351/3 - 51611/66. Calculate the common denominator of v and i.
44
Suppose -171 = -17*w + 84. Calculate the least common multiple of w and 171.
855
Let i be 7/(-6)*3/(-60)*-5. Let y = 923/120 + i. What is the common denominator of y and -51/10?
10
Let h be (-7386)/36 + -1*3. Let z = -206 - h. Let y = 7543/16 - 471. What is the common denominator of z and y?
48
Suppose 7*z - 26*z + 3382 = 0. What is the least common multiple of z and 8?
712
Let k = 6271/8 + -790. Calculate the common denominator of -5 - -7 - (0 + (-65)/18) and k.
72
Let p be (28 - (-1 - 3))/(-1). Calculate the least common multiple of 20 and 4*12/p*2 + 23.
20
Let x = 126467/18 + -2662343/180. Let q = x + 7771. Find the common denominator of q and -85/12.
60
Suppose -23 = 4*z - 15. What is the common denominator of -103/56 and (-1465)/650 + z/(-13)?
280
Suppose 4*n + 352 = 5*r, 2*r = 5*n + 126 + 8. What is the smallest common multiple of 14 and r?
504
Let z be 84/69*(-25)/(-12). Let w = -3/23 - z. Find the common denominator of 372/108 - (-1)/(-1) and w.
9
Suppose 0 = -0*k - k. Suppose -4*d + 3*v - 348 = 0, k = 5*v - 2 + 22. Find the common denominator of ((-4)/d)/(3/105) and -25.
9
Let n be 10/(-70)*(-1)/(-169). Let j = n - -43779/9464. What is the common denominator of j and 9/4*175/(-21)?
8
Suppose 4*s - 104 - 4 = 0. Let i = s + 0. What is the lowest common multiple of i and 33?
297
Suppose 39*q + 5*h + 151 = 41*q, 0 = -q + 5*h + 83. Calculate the smallest common multiple of 44 and q.
748
Let h = 49317/10 + -4944. Let m be 150 - -2 - (4 - 2). Find the common denominator of 2 - (m/(-9) + 2) and h.
30
Suppose -4*z + 70 = 14. Let t be 2/(16/(-4)) - 75/(-2). Suppose t = 7*o - 89. Calculate the least common multiple of o and z.
126
Let f(m) be the third derivative of -691*m**4/4 - m**3/6 - 4*m**2. Let n be f(1). Let x = n - -33247/8. What is the common denominator of x and 49/24?
24
Let h = 1044168/79 + -13217. Calculate the common denominator of h and -74/9.
711
Calculate the common denominator of -99/100 and -5 + (-3)/((-420)/472).
700
Let q = 38 + -42. Let b(v) = -v + 4. Calculate the lowest common multiple of b(q) and -1*1 + 22/2.
40
Let q(n) = n**2 - 2*n + 27. Let t be q(0). Let s = 27 - t. Calculate the common denominator of (0 - (43 - s))/4 and 13/8.
8
Suppose 0 = 5*z - 17 + 7. Suppose 0 = -5*d + 4*d + 3. Suppose 9 = -d*s, -a + 2*s = -s - 21. Calculate the least common multiple of z and a.
12
Let a = 11 - -5. Calculate the smallest common multiple of 4 - (-7 + -4) - (-1 + 0) and a.
16
Suppose 2*p + 4 = -2*w, 22 = -4*p + 2. Suppose -6*i + 3*i + 6 = 5*v, -i + 6 = w*v. Let k = 36 + -26. Calculate the lowest common multiple of v and k.
30
Let q(n) = n**2 - n - 14. Let w be q(5). Suppose 5*f - 7 = a + 3, -3*f + 6 = 4*a. Calculate the smallest common multiple of 4 and (w - -1) + f/2.
8
Let r = -42 + 44. Suppose -114 = -7*b + 2*b + r*u, 0 = -2*b - 2*u + 54. What is the smallest common multiple of 18 and b?
72
Suppose 3*h = 0, 124 = -4*t - 3*h + h. Let l = t + 35. Suppose -5*a = -4*b + 45, 0 = 2*b + 3*b + 4*a - 5. What is the smallest common multiple of b and l?
20
Let n be (3 - (-17)/(-5)) + (-7968)/5. What is the common denominator of 32/240 - n/420 and 53/2*(-1)/7?
14
Let c(q) = 4*q**2 + 25*q + 9. Calculate the smallest common multiple of 55 and c(-7).
330
Find the common denominator of 35/9 and 2/19 + (31480/2375 - 11).
225
Find the common denominator of 6/5 + 21474/1080 + -11 and -9/104.
312
Suppose 4*q - 87 = -5*y - 31, 96 = 4*q - 5*y. Calculate the lowest common multiple of q and 7.
133
Suppose 0 = -9*k + 13*k - 64. Calculate the least common multiple of k and 9.
144
Let b(h) = 5*h**2 + 37*h - 74. Let v = 25 + -9. What is the lowest common multiple of b(2) and v?
80
Let s(r) = -r**2 - 12*r - 26. Suppose 0 = -i - 9*i - 60. What is the lowest common multiple of s(i) and 14?
70
Let v = 495939 + -133903681/270. Find the common denominator of -119/270 and v.
270
Let v be (-4905)/(-6)*(0 + 8). What is the common denominator of 3 - (-3 - (-218)/36) and ((-1)/(-24))/(45/v)?
18
Let i(v) = v**3 - 6*v**2 + 4*v + 9. What is the smallest common multiple of i(5) and 42?
84
Let n be 12*((-20)/8 - -2). Calculate the common denominator of n/(-15) - 1026/40 and (-21)/35 + (-786)/(-160).
16
Find the common denominator of 140/(-21) - -6 - (-382)/60 and ((-104)/(-36))/(16/(-66)).
60
Let g be 15/25 + (-84)/(-10). Let u(d) = -10*d**2 - 2*d - 13. Let l be u(g). Let o = 15097/18 + l. What is the common denominator of o
|
{
"pile_set_name": "DM Mathematics"
}
|
n - 90827 = 264*n. What are the prime factors of x?
181, 251
Suppose -2*n + 6352 = -3*h + 567, -14529 = -5*n - 2*h. List the prime factors of n.
2903
Let i = 396 + -927. Let f = 1265 + i. What are the prime factors of f?
2, 367
Let y(i) be the first derivative of 47*i**3 - 5*i**2/2 + 18*i + 189. List the prime factors of y(3).
2, 3, 53
Suppose 0 = 135*j - 123*j + 96. Let s(v) = 3 + 4 - v**3 - 10*v - 8*v**2 - 4. List the prime factors of s(j).
83
Let v(r) = r**3 - 5*r**2 + 2*r - 10. Let m be v(5). Suppose m = 5*k + 2*x - 1620, -k + 3*x = x - 324. What are the prime factors of k?
2, 3
Let d = -811 + 2233. Suppose -4*t = 3*o - 2144, t + d = 2*o - 0*t. What are the prime factors of o?
2, 89
Suppose 10*p + 3073383 = 7*p + 84*p. List the prime factors of p.
19, 1997
List the prime factors of (-359785)/(-55) - ((-702)/99)/(-13).
31, 211
Suppose 4*v = 5*x - 547, v + 273 = -v + 3*x. What are the prime factors of 7/((-14)/(-30))*v/(-18)?
5, 23
Suppose z - 41 = -g + 135, 0 = -4*z + 20. Let l = g - 80. Suppose y + 0*y + 3*k - 26 = 0, -4*y + l = -k. List the prime factors of y.
23
Let g = 991 + -448. Let k = g - 312. List the prime factors of k.
3, 7, 11
Suppose -6*t + 72 = 36. Suppose 0 = -5*v + t*p - p + 2085, v = 4*p + 417. List the prime factors of v.
3, 139
Suppose -20 = -5*n, l = -2*n + 5565 + 1626. What are the prime factors of l?
11, 653
Let u be 10/(-4) + ((-62)/(-4) - -3). Let q(o) = 12*o + 62. List the prime factors of q(u).
2, 127
Suppose -3*f - 182 = -4*f + 4*z, 886 = 5*f + 4*z. Suppose s - 6*s = -5*w + 285, -3*w + f = 4*s. Let r = 79 + w. What are the prime factors of r?
137
List the prime factors of -2 - -6770 - (-4 + 336/24).
2, 31, 109
Let j = 89765 + -25617. What are the prime factors of j?
2, 7, 29, 79
Let g(t) = -t**2 + 23*t + 55. Let x be g(25). Suppose -11 = -x*s - 1. Suppose -2*m - 414 = -2*q, q - 621 = -2*q + s*m. List the prime factors of q.
3, 23
Let q be 710/16 + (6 - (-408)/(-64)). Let b = 47 - q. Suppose -r - 76 = -b*h, -3*r + 100 = 5*h - 50. What are the prime factors of h?
3
Let m be 0 + -27*(-2)/6. List the prime factors of 180/15*690/m.
2, 5, 23
Suppose 4*o - 5*l = 53095, -309*l - 2 = -311*l. What are the prime factors of o?
3, 5, 59
Let s(k) = -6*k + 65. Let h be s(11). List the prime factors of (-4)/((h - (-1078)/(-269)) + 5).
2, 269
Let s(h) = 2*h + 4. Suppose -9*f + 35 = -2*f. Suppose -3*w + m + 49 = 0, 2*w + f*m + 65 = 5*w. List the prime factors of s(w).
2, 17
What are the prime factors of 1670/(-4)*(-264)/(-55)*-2?
2, 3, 167
Suppose 3*w - 837 + 3027 = 0. Let d = -276 - w. Suppose -d + 62 = -14*k. What are the prime factors of k?
2, 7
Let q = 3989 - 3343. Let r = -3 - -7. Suppose -3*a + 2*j = -143 - 330, -q = -r*a - 5*j. What are the prime factors of a?
3, 53
Let q = -3604 + 612. Let m = -1749 - q. List the prime factors of m.
11, 113
Let x be 8*-2*109/4. Suppose 3*r = -10 + 19, -3*r + 33 = 4*i. What are the prime factors of i/(-9) - x/6?
2, 3
Let v = 14 - -4. Let t be (13 - 1)/(1/v). Let x = t + -119. What are the prime factors of x?
97
Let u(p) = -2*p**2 + 4*p + 6. Let t be u(3). Suppose 5*r + 3607 = 3*w, t = -w + 3*w - 5*r - 2408. List the prime factors of w.
11, 109
Let m(l) = -34*l - 236. Let u(k) = -8*k + 169. Let p be u(22). List the prime factors of m(p).
2
Let a = -15 - -15. Suppose v - 19 = -a. Suppose 5*c - 51 - v = 0. What are the prime factors of c?
2, 7
Let s = -39 + 27. Let c be 4/(-6) + (-8)/s. Suppose -4*t = -12, o + 5*t = -c*o + 39. List the prime factors of o.
2, 3
Let u(n) be the first derivative of -3*n**2 + 310*n - 34. List the prime factors of u(0).
2, 5, 31
Let m = 5112 - 14592. What are the prime factors of (2/4 - 0)*m/(-20)?
3, 79
Let b = 1303 + -690. Let k = b - 280. List the prime factors of k.
3, 37
Let n = 80 - 73. Suppose 3*b = 22 - n, -3*b + 3 = -4*w. List the prime factors of ((-15)/10)/(w/29)*-2.
29
Let l be (-69)/(-115) - 429/15. List the prime factors of (26/(-4) + 4)*l*5.
2, 5, 7
Suppose 2*x - 5*x + 84 = -3*y, -y + 3 = 0. Let l = 242 - 225. Let z = x + l. List the prime factors of z.
2, 3
Let o = 7035 + -3602. List the prime factors of o.
3433
Let o = 16540 - -7202. What are the prime factors of o?
2, 3, 1319
Let h be (-28)/12*(-5 + -244). Let z = -386 + h. List the prime factors of z.
3, 5, 13
Let x = 38 + 464. Let s = x - 1226. List the prime factors of 33/(-22)*(s/6 + 0).
181
Let m be (-70)/((10/4)/(30/24)). Let z(r) = 12*r + 5. Let c be z(-6). Let h = m - c. What are the prime factors of h?
2
Let h(i) = -2*i - 9. Let u be h(-9). Suppose -p + 4*p = -u. What are the prime factors of (-14)/(p + (-2 - 14/(-3)))?
2, 3, 7
Suppose -4*t - 5*h = -4649, t + 7*h = 12*h + 1181. Let o = t - 557. What are the prime factors of o?
3, 7, 29
Let l(f) = -187*f - 23. Let r(v) = v**3 + 5*v**2 + 7*v + 2. Let x be r(-3). List the prime factors of l(x).
2, 41
Suppose 4*b - 21 = -69. Let i = b - -19. Let n(w) = 2*w**2 + 2*w + 15. List the prime factors of n(i).
127
Suppose -5 = -7*y + 9. Suppose -s = y*k - 391, -k - 2*k = s - 387. What are the prime factors of s?
3, 7, 19
Suppose -k + 5288 = 3*v, 7*k = 2*k - 3*v + 26488. List the prime factors of k.
2, 5, 53
Let a(o) = 24*o**2 + 10*o + 6. Let k be a(7). Suppose -k = -7*d - 412. List the prime factors of d.
2, 3, 5
Suppose -5*i + 61 - 36 = 0. Suppose 9*k - 8 = i*k. Suppose -a + k*a = -3*g + 413, -147 = -g - 5*a. What are the prime factors of g?
137
Let s = 4907 + 33339. List the prime factors of s.
2, 13, 1471
Suppose 2*p - 24334 = -v - 2690, 3*p - 2*v - 32445 = 0. What are the prime factors of p?
31, 349
Let h = 32257 - 10824. What are the prime factors of h?
21433
Suppose q + 4 = 0, 4*u - q - 26836 = q. What are the prime factors of u?
19, 353
Let i be (-2 - 44/(-10))*(1 + 4). Let v(b) = -b + 16. Let c be v(i). Suppose -h + 49 = p, 0*h + 190 = c*p + h. What are the prime factors of p?
47
Suppose 43*w - 1279786 - 1109408 = -26*w. List the prime factors of w.
2, 3, 29, 199
Suppose 3*l + 4*d = -7, 13 + 3 = -4*d. Suppose -4*u - 1864 = -5*t, 0*u - l*u = 3. List the prime factors of t.
2, 3, 31
Suppose 2*h - 123 = -99. Suppose -1035 = -h*b + 1257. List the prime factors of b.
191
Suppose -5*l + 37965 = 3*x, -5*x - 16989 = -l - 80236. What are the prime factors of x?
2, 5, 11, 23
Let t(j) = -23*j + 970. What are the prime factors of t(-36)?
2, 29, 31
Suppose 724497 - 1085815 = -117*x + 1784345. List the prime factors of x.
3, 6113
Let d = 44 + -42. Let h be 104 - -5 - (-2)/d. Let i = h - -93. What are the prime factors of i?
7, 29
Let n(o) = 4*o**3 - o**2 - 7*o + 7. Let x be n(1). Suppose -4963 = -5*i + 4*l - 1268, x*l = 0. List the prime factors of i.
739
Suppose -i + y = 4*y + 12, -i = 2*y + 7. Suppose 0*u = u - i. List the prime factors of 188 + -3*(4 - u).
5, 37
Suppose -3*x + 28 = x - 4*r, 5*r = 2*x - 26. Let p be (-1)/(-6) + x + 7287/18. Let y = -238 + p. List the prime factors of y.
2, 5, 17
Suppose 0*n - 5*n - 4*x = -463, -3*n = -2*x - 291. Let v = -98 + n. What are the prime factors of ((-920)/60 - (-4)/2)*v?
2, 5
Suppose 71636 - 204004 = -4*k - 2*u, 5*k = 2*u + 165496. List the prime factors of k.
2, 3, 7, 197
Let g(x) = 2*x + 17. Let n be (-52)/39 + (-11)/3. Let w be g(n). What are the prime factors of (w/21)/((-1)/471)*-1?
157
Let r(q) = -246*q**3 + 2*q**2 + 8*q + 5. Let j be r(-2). Suppose 1304 = 2*b + a, -14*b + 3*a = -11*b - j. What are the prime factors of b?
653
Let l = 129 - 127. Suppose -942 = -3*a - l*h + 263, -h = 4*a - 1600. List the prime factors of a.
3, 7, 19
Suppose -4*i - 13*g = -10*g - 18, -10 = -4*i + g. Suppose 36 = i*k - 987. What are the prime factors of k?
11, 31
Suppose 52*p - 56*p + 4236 = 0. Let h = -724 + p. List the prime factors of h.
5, 67
Suppose 31*n + 59811 = 292404. List the prime factors of n.
3, 41, 61
Suppose 2*a - 89699 = -4*i + 5637, i - 4*a = 23870. List the prime factors of i.
2, 3, 29, 137
Let f be 20/(2 + 8) + 9. Let c(q) be the second derivative of -q**5/20 + 13*q**4/12 - 5*q**3/2 + 7*q**2 + q. What are the prime factors of c(f)?
7, 13
Let f(b) = -b + 1. Let w(n) = 2*n. Let q(s) = -f(s) - w(s). Let m be q(-10). Suppose -1915 = -m*o - 340. List the prime factors of o.
5, 7
Let m(l) = l**3 - 7*l**2 - 7*l - 4. Let z be m(8). Suppose 1492 = 2*s - 4*w, -4644 = -z*s + w - 1646. What are the prime factors o
|
{
"pile_set_name": "DM Mathematics"
}
|
)?
-1/68
What is ((-54)/(-81))/(110/(-17787)*-11)?
49/5
Calculate (-5)/(-2)*(-904)/(-226).
10
Evaluate (2/(-45))/((-15)/(-72)*-29*246/(-29725)).
-8/9
What is the value of ((-2)/1488*-6)/(46/184)?
1/31
Evaluate (6/9)/(106738/(-3858)).
-2/83
((-22)/2)/((-6*57/19)/(-54))
-33
((-2)/(-10))/((-303)/6363)*4/3
-28/5
(1*(-4)/2)/(68/(-714)*6762/56)
4/23
(-72)/((-197208)/83)*(-3)/(-5)
1/55
What is 8/(-18)*-2*2115/(-104340)?
-2/111
Calculate (8/440)/(144/360*(-3)/2).
-1/33
(34005/15869)/((-20)/(-6))
9/14
Evaluate (-6)/(((-804)/15)/134*-1*-5*1).
3
What is the value of (-6)/(-18)*48/(-2)*(-54)/(24/4)?
72
12/(-27)*(-111474)/18016
11/4
Calculate ((-9)/((-234)/4))/((1468/14313)/(6/(-9))).
-1
What is the value of ((-6)/4)/(22455/124750)?
-25/3
Evaluate (-50)/(10300/(-1751))*-10.
-85
14/(-20)*6794/(-71337)
1/15
What is ((-1)/1)/((6/16)/(14/((-952)/(-1479))))?
-58
(-10)/4*205/(15375/1650)
-55
Calculate 2/((-63)/(-54)*(-24)/882).
-63
3*4*(-2518)/(-3777)*-1*3
-24
Evaluate ((-12)/(-10))/((11523/(-276))/((-5)/60*5)).
2/167
36/160*(-2112)/(-99)*(-15)/2
-36
What is (2/((-8)/(-6)))/((12/10)/((-7952)/(-3195)))?
28/9
What is ((-2)/(-8))/(4/52)*((-2988)/(-20501))/6?
3/38
Calculate 14/56*36/9.
1
What is ((204/5)/(-9*84/360))/(126/882)?
-136
Calculate (-102)/(-119)*-17*(-38)/(-513)*63.
-68
1*1168/3650*3/(-12)
-2/25
Evaluate ((263/3682)/((-4)/(-14)))/(69/24).
2/23
Evaluate ((-270)/(-125))/(93/465)*(-20)/6.
-36
Calculate (-317)/((-57694)/(-520))*(-14)/4*-7.
-70
Evaluate 6238/12476*(-3)/(177/2).
-1/59
What is the value of (((-12)/96)/(-1))/(63/(-126))*(-16)/(-26)?
-2/13
What is (6468/(-550))/147*(-5)/(-22)?
-1/55
Calculate (2240/840)/((-2)/3)*(-33)/2409.
4/73
Evaluate ((-5)/(-1))/(-20*18/3312).
-46
What is the value of (3/9)/(24/(-16)*22/(-165))?
5/3
What is the value of (1956/8476)/(59/13)?
3/59
Evaluate ((-121)/(-33))/(135/90*(-4)/(-18)).
11
Calculate (-46)/1656*18*80.
-40
Evaluate (-1*(-2)/(-232))/(((-2760)/480)/23).
1/29
Evaluate 3/(-24)*359/(108059/(-860)).
5/14
What is (6/27)/(94/((-2068)/(-22)))?
2/9
What is 66*32/(-1664)*-26?
33
What is (1595/(-29))/(-11)*(-986)/145?
-34
Calculate (-2)/(-2)*((-400)/60)/(-20)*-1*-5.
5/3
Calculate (2*(-1)/(-12))/((48/3808)/(549/1281)).
17/3
Calculate 1300/(-2925)*(-45)/16*(-72)/5.
-18
What is the value of (15/3*(-28)/((-840)/54))/(3/(-22))?
-66
What is ((-214)/321*9/(-42))/(1/5)?
5/7
What is the value of (((-264)/(-20))/11)/((-20)/175)*(-2)/39?
7/13
Evaluate ((-1218)/(-15))/(((-252)/(-420))/((-3)/(-7))).
58
What is the value of ((196/(-8))/(-7))/((-95)/1330)*-1?
49
What is the value of (47/13113)/((-26)/(-117)*5/10)?
1/31
What is 494/76*22/(-66)?
-13/6
Evaluate 34/(-6)*336/112.
-17
What is the value of 13/(-2)*11964/1671969?
-2/43
What is the value of 167/(-1336)*(-16)/(-38)?
-1/19
100/(-26250)*105*(-10)/(-218)
-2/109
What is the value of (136/85*(-9)/(-2835)*15)/((-8)/(-14))?
2/15
Evaluate ((-1)/11)/(255/12903).
-23/5
Evaluate (9375/(-2500))/(135/(-144)).
4
What is the value of 66/8*(-63216)/(-14487)?
36
((-8959)/(-582335))/(26/(-20))
-2/169
What is ((-24)/(-7))/(336/(-5292)*1)?
-54
Evaluate ((-45648)/(-2536))/((-27)/(-15)).
10
What is (12/(-45)*18130/6216)/(5/3)?
-7/15
What is the value of (-102)/7*5075/(-870)?
85
What is the value of ((-237)/(-4)*(-2994)/(-4491))/((-1)/2)?
-79
Calculate ((-21540)/(-11488))/((-6)/(-32)).
10
Calculate ((-36)/40)/((-12)/20)*10/115.
3/23
What is the value of 11826/(-6570)*((-5)/136)/(9/12)?
3/34
Evaluate 33/55*-24*17/((-612)/(-24))*-5.
48
Calculate (315/2205)/((-1)/105).
-15
Evaluate (((-201)/(-2010))/(3/(-132)*-1))/(4/(-20)).
-22
What is the value of ((-8)/15*(-8435)/6266)/(2/(-3))?
-14/13
What is the value of (2079/(-735))/11*3*63/(-9)?
27/5
Evaluate 16/3*35949/(-4168).
-46
Evaluate (21/(-14))/(-8*20/(-4160)).
-39
Calculate (312/9*(-17)/(-136))/((-5)/3).
-13/5
What is the value of 5/60*-62*228/(-114)?
31/3
What is ((-300)/(-2450)*(-70)/45)/(30/9)?
-2/35
Calculate (-17)/(5355/(-252))*(-3010)/28.
-86
Calculate (33/(-22))/(18*20/12720).
-53
((48/18)/(-1))/(128/64)*3/(-10)
2/5
What is 3/2*488/854*(-28)/(-2820)?
2/235
Evaluate (((1160/(-20))/232)/(1/252))/(9/(-3)).
21
Calculate 4704/2688*884/13.
119
What is (1*(-5)/10)/((185310/116)/71)?
-1/45
(4/(-3))/(8/10494*265)
-33/5
Evaluate (-50)/(-125)*(-12425)/70.
-71
What is the value of -651*(1352/(-546))/(-26)?
-62
(10/(-15))/(277/1662)
-4
Evaluate 40/(-1920)*((-51)/68)/((-9)/24).
-1/24
Evaluate ((96/6)/208)/(-1)*2.
-2/13
5*84/175*1900/(-258210)*(-6)/8
2/151
(-5)/(5/((11132/(-22))/(-11)))
-46
Calculate ((-66087)/5245)/(-1*(-18)/40*4/(-3)).
21
What is 6/18*11116/(-1191)?
-28/9
(2295/(-81))/5*(-6)/765
2/45
Calculate (560/(-15680))/((-1)/126).
9/2
What is ((-26)/(-12))/(14833/3423)*6/(-31)?
-3/31
Calculate 3/2*(-55)/(-231)*246/410*10.
15/7
(240/(-5400))/(-11*(-20)/110)
-1/45
Calculate 20/18*(-5)/((2775/(-540))/37).
40
What is (2/(-2))/(-19*((-112)/(-24))/14)?
3/19
What is (63/98)/(-13*(-69)/(-2093))?
-3/2
Evaluate 4/(70/18*(5624/(-259))/(-38)).
9/5
What is ((-37)/(4144/(-42)))/(2898/168)?
1/46
Evaluate (((-6580)/(-15))/47)/(3*(-44)/(-1683)).
119
What is 37/(2220/(-100))*(-24)/(-4)?
-10
(2/8)/(1/(-3))*6090/(-45675)
1/10
Evaluate ((192/84)/(-8))/((-6596)/679).
1/34
What is ((-120)/(-900)*15/2)/((-35)/147)?
-21/5
Calculate ((-6)/(-4)*(8/(-90))/(-1))/(25/(-875)).
-14/3
1/((-10)/(-5))*1/(((-51)/(-90))/17)
15
What is the value of (1904/80)/17*(-360)/(-9)?
56
What is ((-7172)/(-652)*(-12)/(-110)*5)/((-6)/(-103))?
103
What is the value of (4/2)/(-12)*2091/(-1394)?
1/4
Calculate (120/(-1216))/((1980/(-16))/(-99)).
-3/38
Evaluate (8/12)/(8*((-6)/(-3))/(-24)).
-1
Calculate ((-27)/45)/(318/(-4346)).
41/5
Calculate (3*(-19)/114*9/(-9))/(170/(-20)).
-1/17
What is 84/81*(-2883)/6727?
-4/9
((-200)/(-58))/(552/8004)
50
266/14*-34*(-38)/646*(-3)/(-2)
57
Calculate (6*18/48)/((-5121)/116076).
-51
What is the value of (-5)/(65/(-12))*(-71370)/(-3660)?
18
Evaluate (24/(-112))/((-3938)/10024)*(-418)/(-6).
38
Calculate (-238)/168*11/((-88)/96).
17
Evaluate 66/4*4/(((-8)/12)/((-96)/(-288))).
-33
What is the value of (76/(-2394)*-189)/((-3)/18)?
-36
-2*((-84)/(-126))/(14/(-3))
2/7
Evaluate 2/2*(258055/101)/(-35).
-73
Evaluate (((-109)/763)/((-44)/(-14)))/(15/((-32760)/14)).
78/11
Evaluate (3/33)/(6/8*17/3570*-28).
-10/11
What is -30*-29*17/(-2465)*110/(-33)?
20
Calculate (-3)/(75/(-50))*(-266)/280.
-19/10
What is the value of (376005/(-21486))/(2065/(-4))?
2/59
Evaluate (4/4)/(-8*150/106800).
-89
What is the value of 1275/2550*(-20)/10?
-1
Calculate (-43032)/(-1956)*6/44*(-16)/1.
-48
What is the value of (-1)/(15*39/351)?
-3/5
Evaluate -28*21/(-5880)*-310.
-31
What is the value of (-7329)/36645*275/(-3)?
55/3
What is 2*((-4)/(-148))/(15/(-90))?
-12/37
What is (1953/(-837))/((-315)/(-10))?
-2/27
Calculate ((-9)/12*8)/((-8)/(-2)).
-3/2
Evaluate (-20)/(-14)*1*(7/(-57))/((-216)/648).
10/19
(-109)/3*14/14*(-16)/((-160)/(-30))
109
What is the value of 245*187/3332*3/((-30)/(-32))?
44
Calculate ((-7722)/(-2064348))/(3/4*-1).
-2/401
Evaluate -11*-2*1/(72/(-54))*2.
-33
Evaluate ((-868)/(-1116)*-3*1)/(4/(-24)).
14
What is 220/(-17325)*(-4)/8*9/(-3)?
-2/105
What is ((-144456)/(-210665))/((-3)/(-5))?
8/7
What is (625/30)/(5635/(-33810))?
-125
What is the value of 1/((-57)/8)*75/(-200)*156/(-13)?
-12/19
What is the value of (6/720*-6)/(3/24)?
-2/5
Calculate (405/2268)/(((-26)/(-2))/273).
15/4
(-744)/(-434)*(-91)/78*27
-54
What is 45/(-72)*(1856/(-160))/29?
1/4
What is ((145/58)/(-1)*(-2)/(-15))/((-53)/21306)?
134
10/(246/(-984)*5/((-60)/(-32)))
-15
Evaluate ((19500/(-175))/52)/((-25)/70).
6
What is 361/((-166060)/(-23575))*(24/5)/(-3)?
-82
Calculate (-1742)/(-156)*10*4/24*(-216)/60.
-67
Evaluate (9196/(-847))/((-20)/(-35)).
-19
(-3)/((-3)/(-146))*(-85462)/170924
73
Evaluate (-6)/(-45)*(-385)/2618.
-1/51
Calculate (114/(-2565))/((-80)/6300).
7/2
Evaluate (81/(-18))/((-7626)/(-124)).
-3/41
Evaluate (-3)/((-9)/510)*1/((210/6)/7).
34
Evaluate 26*(4004/(-88))/91.
-13
What is the value of (57/2964*52)/25?
1/25
Calculate (((-405)/(-30))/27)/(15/1275*-10).
-17/4
Calculate (-9)/((-54)/15)*92/(-115)*(-6)/6.
2
What is the value of ((-8)/7)/(330/(-2079)*4/20)?
36
Evaluate ((-5)/(-6))/5*190400/(-952)*(-9)/(-6).
-50
What is the value of (204/(-2618))/((-4)/(112/(-12)))?
-2/11
What is the value of -21*1*3/(-72)*25*
|
{
"pile_set_name": "DM Mathematics"
}
|
72)*302 + 3/(-4).
126
Let r be 93413*4/18*(-15)/100. Let f = -3113 - r. Calculate the common denominator of f and 149/18.
90
Let v = 118 + -233/2. Find the common denominator of -93/76 and v.
76
Let q(j) = 53*j + 1. Let u be q(-1). Let a = u + 61. Calculate the least common multiple of 9 and a.
9
Let b be (-369)/36*694/2088. Let x = b - 8/261. What is the common denominator of x and ((-1)/(-6))/(11/81)?
176
Let y = -3 + 7. Calculate the least common multiple of 32/(-20) + 2 + (-216)/(-10) and y.
44
Let p(k) = 4*k + 42. Let u be p(-11). Calculate the common denominator of -65/4 and u/(-7) + (-1463)/490.
20
Let a = -12087026628 - -188086221463786/15561. Let g = a - 1/1729. What is the common denominator of -55/8 and g?
72
Let t = 118/57325165 + -5011310169479/762883295820. Let g = 16/1109 - t. Find the common denominator of (-194)/6*3/(-2) and g.
12
Find the common denominator of -39/70 and 4/(-14) - (-2622)/1680.
280
Let g(d) = 8*d + 4. Suppose 0 = 4*q - 36 - 36. Let v = -22 + q. Find the common denominator of -10/3 and g(v).
3
Let d(t) = -2*t - 9. Let z be d(-7). Suppose z*w = 6*w + 3. What is the common denominator of -67/8 and (95/w)/(10/(-15))?
8
Let c = 12268/9 - 1361. Find the common denominator of c and 7/45.
45
Suppose a - 30 = -35, 2*a = q - 154. What is the least common multiple of 324 and q?
1296
Let w(v) = v**2 + 2*v - 7. Suppose 5*m + 9 = 4*l, -4*l - m - 23 = -26. What is the least common multiple of l and w(-5)?
8
Let k = -30 - -47. What is the least common multiple of k and 16?
272
Let h = 12655/21 - 603. Find the common denominator of -34/39 and h.
273
Let q = -49943281/15 + 3326769. Let m = 2780 + q. Find the common denominator of m and 47/15.
15
Let d = -7093/2080722 + 6/3241. Let s = -7387/2568 - d. Calculate the common denominator of s and -1 - 2 - (-546)/(-308).
88
Let o be (-18)/(-8) + 1/(-4). Suppose -5*p - o = -32. Let z(g) = -g + 27. Calculate the least common multiple of z(17) and p.
30
Suppose -2*r + 2 = 2*f + 4, -f - 5*r = 13. Suppose 0 = f*d, -3*x + 2*d = 4*d - 33. What is the least common multiple of x and 12?
132
Let l(r) = -12*r - 6. Let c be l(-5). Let h be 234014/72 + 12/c. Let p = 3263 - h. Find the common denominator of 9/22 and p.
132
Let i = -62379/70 + 891. Calculate the common denominator of 61/14 and i.
70
Calculate the common denominator of 29/284 and (222/4)/(24/(-2) + -8).
2840
Find the common denominator of -53/86 and 7/2*-1*(-7)/5.
430
Let w = 109/6 - 211/12. Calculate the common denominator of w and 11/21.
84
Let j = 86867 - 8860505/102. What is the common denominator of 93/14 and j?
714
Let p(t) = -2*t + 12. Let a(h) = -h**3 + 11*h**2 - 11*h + 14. Let j be a(10). What is the lowest common multiple of 20 and p(j)?
20
Calculate the common denominator of 131/170 and ((-684)/(-204))/(8 - 12).
340
Let s(x) = -4*x**3 + 6*x**2 - x - 14. Let w be s(-12). Let n be 4351627/(-560) + (-2)/(-10). Let l = w + n. What is the common denominator of l and -61/6?
48
Let n = -614 + 648. Calculate the least common multiple of n and 30.
510
Let b(p) = 32*p - 62. Let n = 8 + -5. What is the lowest common multiple of b(2) and n?
6
Suppose -p - 3 = 0, 1 = 4*r + 3*p - 6*p. Let h(c) = -c**3 + c**2 + 3*c + 2. Suppose 46*v + 30 = 49*v. What is the lowest common multiple of v and h(r)?
40
Let n = 75 - 51. Let u = -16 + n. Suppose 69*t - 66*t = 18. Calculate the least common multiple of u and t.
24
Let j = -6141921/80 + 76775. Calculate the common denominator of 17/90 and j.
720
Suppose 134*x - 138*x + 36 = 0. Let v(j) = j**2 + 3*j + 1. What is the smallest common multiple of x and v(-4)?
45
Find the common denominator of 29/4 and ((-195)/20)/(10/(140/(-1221))).
1628
Suppose -x + 2*x = 3. Suppose 0 = x*p + 14 + 100. Let r = -24 - p. What is the least common multiple of 16 and r?
112
Let d = 154084829671/36387313628 + 6/23385163. Let t = -6/389 - d. Let o = 1420 + -17009/12. Calculate the common denominator of t and o.
12
Find the common denominator of (12 - 2893/242)/((-6)/(-152)) and 145/246.
2706
Let c = 146957/88 - 1669. Find the common denominator of 33/16 and c.
176
Let x(q) = -q**3 - 3*q**2 + 7*q + 4. What is the smallest common multiple of -3*11/((-33)/8) and x(-5)?
152
Let z be 112/24*(-363)/8. Let n = z - -210. Let b = -7/4 + n. What is the common denominator of 21/40 and b?
40
What is the common denominator of 1/(-10)*2 - 5436/120 and 49/8?
8
Let f = -2619/4 - -673. Let z = -4/415 - 40247/830. Calculate the common denominator of f and z.
4
Let w = 82 + -973. Let n = w - -1723/2. What is the common denominator of n and 43/9?
18
Suppose j - 5 = -w, 0 = -5*j + 2*j. Suppose 43 - 13 = 3*v. Calculate the lowest common multiple of v and w.
10
Find the common denominator of -31/30 and 10030/816 - 7/1.
120
Suppose -6*u + 3*t - 81 = -u, u + 2*t + 11 = 0. Find the common denominator of 25/33 and (4 + (-41)/9)*16/u.
297
Let c = 3 - -7. Suppose 43 = -d + 116. Let x = d - 65. Calculate the lowest common multiple of c and x.
40
Suppose -180 = -72*h + 27*h. Calculate the lowest common multiple of 96 and h.
96
Let v = 12205/12 + -1016. Find the common denominator of 65/132 and v.
132
Let d be (2/6)/((-6)/(-108)). What is the least common multiple of 12 and d/18 + 46/6?
24
Let g(o) = 6*o**2 + o. Let x = -11 - -6. Calculate the smallest common multiple of x*(0 - 12/10) and g(-2).
66
Let j = -551388 - -54588317/99. Let z = 92/11 - j. Calculate the common denominator of (-190)/32*(8 - 10) and z.
72
Let i = -15 - -5. Let l = i + 21. What is the least common multiple of 13 and l?
143
Let t = -38 - -1049/24. What is the common denominator of t and -25/12?
24
Calculate the smallest common multiple of 350 and -6*(-280)/144*12/10.
350
Find the common denominator of 5 + (-5536)/336 + 15 and ((-7)/(-75))/(4/(-130)).
210
Let r = 12 - 2. Let t = -66 + 119. Let o = t - 33. Calculate the lowest common multiple of r and o.
20
Let c = -2783 - -2801. What is the least common multiple of c and 66?
198
Let t = 20 - 11. Suppose 0 = 2*b - 4, r + 4*b = 5 + 6. What is the lowest common multiple of r and t?
9
Let d be 236/(-6)*(-87)/26. Let f = 116829/884 - d. Let i = f - 2939/340. Calculate the common denominator of -47/5 and i.
10
Let z = -1026137/28600 + 4731/143. Let k = z - 21/200. Calculate the common denominator of 36/8 - (0 + -1) and k.
10
Let z(b) = -3*b - 13. Let p be z(-6). Suppose q - 8 - 9 = -n, q = -p. What is the smallest common multiple of 2 and n?
22
Let n be 1843708/(-22)*(1 - 14/12). Let j = n - 13970. Calculate the common denominator of 61/3 and j.
33
Suppose 3*g + 2*t + 26 = 3, -4*g - 28 = 2*t. Let d = -10 - g. What is the least common multiple of 5 and (40/25)/((-2)/d)?
20
Suppose 3 = -u + p + 13, -85 = -4*u - 5*p. What is the lowest common multiple of 24 and u?
120
Let t(b) = 2*b**2 + b - 2. Suppose i - 1 - 1 = 0. Calculate the lowest common multiple of -2 + (-84)/(-18) + (-4)/6 and t(i).
8
Let s be (3/9)/(2/6)*2. Let u be 63 + -2 + (-4 - -3). Suppose -v = s*v - u. Calculate the smallest common multiple of v and 16.
80
Calculate the common denominator of (8/54)/((-150)/(-261)) and 43/30.
450
Let f(q) = 7*q**2 - 7*q + 14. Suppose 3*r = 4*u - 2 - 2, 2*u - 2*r = 0. Calculate the smallest common multiple of 8 and f(u).
392
Suppose -26*o = -28*o - 22116. Let h = o + 177013/16. What is the common denominator of h and 51/2?
16
Let p(j) = -2*j - 7. Let w(h) = 14*h - 9. Let z be w(-3). Let r = 56 + z. What is the least common multiple of p(-5) and r?
15
Let q be ((-16)/20)/((-4)/10). Suppose -3*s + 2*f = -s - 40, 0 = q*s + 2*f - 40. Calculate the least common multiple of 14 and s.
140
Let l = -196/79 + 37203/316. Let h = l + -9613/84. Find the common denominator of h and -76/15.
105
Let t = 37 - 21. Suppose -t = 3*i + 20. What is the common denominator of (-2)/i*(-339)/9 and 1/14?
126
Let l = 369 - 245. Let p = 132 - l. Let i = 7 - 4. Calculate the least common multiple of i and p.
24
What is the smallest common multiple of 10 and 3*(-10)/105 - (-3009)/119?
50
Suppose 25 = -5*z, -4*q + 5*z - z + 396 = 0. Let y = q + -73. Calculate the lowest common multiple of 18 and y.
126
Suppose 16 = -3*s + 52. Let m = -14 + s. Find the common denominator of -91/8 and 342/44*m/6.
88
Let m(w) = -127*w + 336. Calculate the least common multiple of 33 and m(
|
{
"pile_set_name": "DM Mathematics"
}
|
y: 3, v: 12}. Give prob of picking 4 v.
11/68
Two letters picked without replacement from pgp. Give prob of picking 2 p.
1/3
Two letters picked without replacement from {n: 3, u: 1, t: 1, d: 2, k: 2, f: 3}. Give prob of picking 2 k.
1/66
What is prob of picking 2 h and 2 q when four letters picked without replacement from {o: 5, q: 3, i: 4, h: 4}?
9/910
Three letters picked without replacement from {l: 1, i: 3, m: 3, u: 3, g: 2, a: 2}. Give prob of picking 1 u, 1 m, and 1 g.
9/182
Calculate prob of picking 1 y and 1 a when two letters picked without replacement from {a: 3, x: 1, y: 1, j: 2, k: 3}.
1/15
Calculate prob of picking 2 s and 1 n when three letters picked without replacement from snss.
3/4
Calculate prob of picking 1 s and 2 v when three letters picked without replacement from {v: 4, l: 3, s: 4}.
8/55
Two letters picked without replacement from zzzzzzzzizzzzzzzzz. Give prob of picking 1 i and 1 z.
1/9
What is prob of picking 1 g and 1 o when two letters picked without replacement from {g: 10, l: 1, u: 1, e: 1, o: 1}?
10/91
Calculate prob of picking 2 i and 1 d when three letters picked without replacement from iddiidiididdddid.
27/80
What is prob of picking 1 f and 3 r when four letters picked without replacement from {f: 6, t: 1, c: 2, l: 1, r: 3}?
6/715
Calculate prob of picking 1 q and 2 d when three letters picked without replacement from hhhhhdqwqhhhqhwhdhq.
4/969
What is prob of picking 4 r when four letters picked without replacement from {w: 5, r: 5}?
1/42
Two letters picked without replacement from {r: 7, p: 2}. What is prob of picking 1 r and 1 p?
7/18
Four letters picked without replacement from xxxxx. What is prob of picking 4 x?
1
Four letters picked without replacement from ppzspppppszpppwpzzp. What is prob of picking 2 s and 2 p?
11/646
Three letters picked without replacement from kkkeekeeee. Give prob of picking 3 k.
1/30
Four letters picked without replacement from hxxllcjgxgxgxlxlgxxh. Give prob of picking 1 l, 1 h, 1 c, and 1 j.
8/4845
Two letters picked without replacement from {q: 4, d: 3, b: 6, s: 2}. Give prob of picking 1 d and 1 s.
2/35
Three letters picked without replacement from {p: 6, v: 2}. What is prob of picking 3 p?
5/14
Two letters picked without replacement from {q: 4, x: 1, p: 3, j: 2, w: 4}. What is prob of picking 2 p?
3/91
Four letters picked without replacement from {x: 1, i: 1, l: 1, q: 2, a: 2, u: 1}. What is prob of picking 1 i, 1 x, and 2 u?
0
Three letters picked without replacement from {s: 1, j: 4, m: 7, t: 3, g: 1}. What is prob of picking 1 t, 1 m, and 1 j?
3/20
Calculate prob of picking 3 o and 1 v when four letters picked without replacement from {v: 3, o: 8}.
28/55
Calculate prob of picking 1 p, 2 w, and 1 u when four letters picked without replacement from ppwwpuwwrwwr.
1/11
Two letters picked without replacement from {c: 9, n: 1, k: 1}. What is prob of picking 1 k and 1 c?
9/55
Four letters picked without replacement from {b: 9, s: 2}. Give prob of picking 1 s and 3 b.
28/55
Calculate prob of picking 3 z and 1 q when four letters picked without replacement from {q: 4, z: 3}.
4/35
What is prob of picking 1 w and 1 b when two letters picked without replacement from {c: 1, l: 1, r: 9, w: 7, b: 2}?
7/95
Two letters picked without replacement from hfiik. Give prob of picking 1 k and 1 i.
1/5
Four letters picked without replacement from {u: 9, a: 3, k: 4, m: 2, d: 1}. Give prob of picking 1 d, 2 k, and 1 a.
3/646
Three letters picked without replacement from sbefaybeesff. What is prob of picking 1 f, 1 s, and 1 b?
3/55
Calculate prob of picking 3 t when three letters picked without replacement from {t: 4, h: 2, i: 3, s: 1}.
1/30
Four letters picked without replacement from jojsojjjssjvvc. Give prob of picking 4 j.
15/1001
Two letters picked without replacement from lllllllljllll. Give prob of picking 1 l and 1 j.
2/13
Two letters picked without replacement from yyqaa. Give prob of picking 1 y and 1 a.
2/5
What is prob of picking 2 w, 1 s, and 1 b when four letters picked without replacement from cswpbbwbccpcwbbc?
3/364
Calculate prob of picking 1 r and 1 o when two letters picked without replacement from zrrrooorozooozoozlo.
40/171
Calculate prob of picking 2 a and 1 u when three letters picked without replacement from ahuuauhhuaaaahu.
15/91
What is prob of picking 1 g and 2 h when three letters picked without replacement from ahagaqagwawhqwgahga?
4/323
Two letters picked without replacement from {t: 2, j: 1, g: 2, s: 1, p: 1, n: 1}. Give prob of picking 1 j and 1 s.
1/28
Calculate prob of picking 2 d when two letters picked without replacement from odoooodooooo.
1/66
Four letters picked without replacement from tteet. Give prob of picking 2 t and 2 e.
3/5
Two letters picked without replacement from {f: 1, b: 2, d: 1, r: 1}. Give prob of picking 1 b and 1 f.
1/5
What is prob of picking 4 n when four letters picked without replacement from nnnf?
0
Two letters picked without replacement from {v: 2, m: 5, i: 2, y: 11}. Give prob of picking 2 v.
1/190
Four letters picked without replacement from {l: 3, i: 4, h: 1}. Give prob of picking 1 h, 2 i, and 1 l.
9/35
Calculate prob of picking 1 a and 2 c when three letters picked without replacement from ckeekaceeccdkxdckek.
10/969
Three letters picked without replacement from {k: 5, y: 9}. Give prob of picking 3 y.
3/13
Four letters picked without replacement from fkmwkfwpwbpbpw. What is prob of picking 1 b, 1 m, and 2 w?
12/1001
Three letters picked without replacement from {v: 2, e: 1}. What is prob of picking 3 v?
0
Calculate prob of picking 1 n and 1 d when two letters picked without replacement from bnmmd.
1/10
Two letters picked without replacement from {i: 1, x: 2, l: 3, n: 3, w: 2, s: 1}. Give prob of picking 2 x.
1/66
Calculate prob of picking 4 d when four letters picked without replacement from rbdd.
0
Two letters picked without replacement from {d: 3, a: 2}. What is prob of picking 2 a?
1/10
What is prob of picking 1 b and 1 f when two letters picked without replacement from {b: 2, f: 5, z: 4, a: 2, j: 4}?
5/68
Calculate prob of picking 4 o when four letters picked without replacement from {y: 2, w: 3, h: 3, o: 11}.
55/646
Calculate prob of picking 1 c and 1 q when two letters picked without replacement from ddchhhhmcqmd.
1/33
What is prob of picking 1 r and 1 e when two letters picked without replacement from exhxezherhxzgg?
3/91
Calculate prob of picking 2 g when two letters picked without replacement from ccccccgg.
1/28
Four letters picked without replacement from {h: 1, x: 6, c: 4}. Give prob of picking 2 x and 2 c.
3/11
Four letters picked without replacement from {g: 1, x: 1, u: 2, r: 1, w: 2, n: 11}. Give prob of picking 1 n, 1 x, 1 u, and 1 g.
11/1530
Three letters picked without replacement from {k: 3, c: 1, r: 1, t: 3, b: 2, h: 1}. What is prob of picking 1 h, 1 k, and 1 t?
3/55
What is prob of picking 1 s, 1 n, and 1 k when three letters picked without replacement from agnsgagssaakah?
3/364
Two letters picked without replacement from {y: 1, t: 4, z: 2, j: 2}. Give prob of picking 1 t and 1 z.
2/9
What is prob of picking 2 f when two letters picked without replacement from tieeetcefedfedeeed?
1/153
What is prob of picking 3 w and 1 a when four letters picked without replacement from {w: 10, a: 2}?
16/33
What is prob of picking 1 b and 1 x when two letters picked without replacement from {x: 4, e: 6, w: 1, b: 2}?
4/39
What is prob of picking 2 b when two letters picked without replacement from {b: 3, c: 13}?
1/40
Four letters picked without replacement from jeojxjo. Give prob of picking 1 j, 1 x, 1 e, and 1 o.
6/35
Two letters picked without replacement from jwjww. What is prob of picking 2 j?
1/10
What is prob of picking 1 y and 1 k when two letters picked without replacement from {k: 1, l: 2, i: 2, x: 2, y: 1}?
1/28
Three letters picked without replacement from {r: 6, h: 7, t: 4, y: 1, z: 2}. What is prob of picking 3 t?
1/285
Two letters picked without replacement from dvvveyxxxeeedxyebexd. What is prob of picking 1 d and 1 x?
3/38
Two letters picked without replacement from {w: 1, u: 1, n: 2, z: 1, b: 1, l: 1}. What is prob of picking 1 n and 1 l?
2/21
Four letters picked without replacement from ibbbbbi. What is pr
|
{
"pile_set_name": "DM Mathematics"
}
|
) = 2*o**2. Let d(q) = 623*q**2 - 2608*q + 2. Calculate d(z(n)).
2492*n**4 - 5216*n**2 + 2
Let q be (4 - 117) + 2 + 5. Let f = q + 142. Let o(c) = -20*c + f*c - 15*c. Let v(j) = 32*j**2. What is v(o(b))?
32*b**2
Let h(j) = -1398*j + 21. Let w(c) = 133*c - 2. Let m(u) = 6*h(u) + 63*w(u). Let s(g) = 24*g. What is m(s(x))?
-216*x
Let n(d) = 455*d**2. Let r(b) be the second derivative of b**4/12 - 10*b**2 - 178*b. Let v(o) be the first derivative of r(o). What is v(n(l))?
910*l**2
Let g(v) = -v. Let m be 1 - (-2 - (5 - 5) - -3). Let q(j) = -44 + m*j - 7*j + 2*j + 6*j + j. Determine g(q(o)).
-2*o + 44
Let d(j) = 14117*j + 481. Let v(m) = -m. Give d(v(s)).
-14117*s + 481
Let p(u) = -2191043*u. Let y(f) = f**2. Calculate p(y(s)).
-2191043*s**2
Suppose -3*p - 9 = 3, 3*p - 220 = -4*s. Let i = s - 56. Let m(o) = -15*o**2 + 4*o**2 + 13*o**i. Let z(y) = -10*y**2. Determine z(m(g)).
-40*g**4
Let n(u) = 3*u + 1. Let k(y) be the third derivative of -13*y**5/20 + 2*y**2 + 22*y - 11. Determine k(n(o)).
-351*o**2 - 234*o - 39
Let z(w) be the first derivative of w**5/120 + 2*w**3/3 - 4*w - 14. Let g(m) be the third derivative of z(m). Let y(u) = -185*u**2. Give g(y(q)).
-185*q**2
Let w(q) = -3*q. Let z(t) = 17 + 13 + 17*t + 2*t - 30. Let a(j) = 6*w(j) + z(j). Let o(p) = 26*p. Give o(a(d)).
26*d
Let u(a) = -259*a**2 - 9392*a. Let k(i) = -2*i. Determine u(k(x)).
-1036*x**2 + 18784*x
Let t(j) = -73*j. Let d(i) = 39*i**2 + 2*i - 232. Calculate t(d(c)).
-2847*c**2 - 146*c + 16936
Let u(s) = s**3 + 8*s**2 - 26*s - 51. Let t be u(-9). Let a(p) = 279*p - t*p - 98*p - 107*p. Let b(j) = 3*j - 5*j + 4*j. Give a(b(k)).
-56*k
Let f(p) = -2*p. Let a(h) = -88623*h - 8015. Let n(i) = -221*i - 20. Let k(d) = -4*a(d) + 1603*n(d). What is k(f(q))?
-458*q
Let a(y) = 47*y + 3854. Let p(u) = -28*u. Give p(a(m)).
-1316*m - 107912
Let r(q) be the second derivative of -29*q**4/12 + q + 1. Let i(b) = -92*b. Calculate r(i(g)).
-245456*g**2
Let o(d) = 3*d - 1. Suppose 25*l = 20*l + 4*z - 76, l - z = -16. Let f(a) = 13*a - 4. Let x(p) = l*o(p) + 3*f(p). Let m(y) = -8*y + 11*y + 7*y. Give m(x(n)).
30*n
Let d(n) be the first derivative of -734*n**3/3 - 5980. Let p(j) = 2*j. What is p(d(z))?
-1468*z**2
Let m(p) = -23*p**2 + 3448. Let i(l) = -132*l. Calculate i(m(r)).
3036*r**2 - 455136
Let g(k) = 1331*k. Let y(z) = 597625*z. Give g(y(v)).
795438875*v
Let t(h) = -38 + 11 + 36 - 3*h - 9. Let l(j) = -12*j - 20. Calculate t(l(s)).
36*s + 60
Let t(u) = -3*u + 12. Let b(a) = 2*a - 10. Let r(k) = -6*b(k) - 5*t(k). Let v(o) be the first derivative of -5*o**3/3 - 2. Calculate r(v(n)).
-15*n**2
Let k(x) = 159*x**2 - 135*x - 428. Let p(i) = -2*i. What is p(k(u))?
-318*u**2 + 270*u + 856
Let a(m) = -32*m - 1. Let k(c) = -20*c. Let d(u) = 3*a(u) - 5*k(u). Let f(r) = -2*r**2 - 11. Calculate d(f(s)).
-8*s**2 - 47
Let l(y) = 10*y. Suppose -281 = 12*x - 869. Let s(c) = -28*c**2 + x*c**2 - 24*c**2. Calculate l(s(d)).
-30*d**2
Let c(t) = -21525*t + 160. Let a(u) = 23160900*u - 172200. Let b(q) = 4*a(q) + 4305*c(q). Let w(h) = h. Give b(w(v)).
-21525*v
Let m(o) = 35*o. Let y(w) = 14 - 28 + 13 + 30*w - 20*w - 20*w. Calculate m(y(s)).
-350*s - 35
Let j(s) = -s**2. Let p(a) be the first derivative of -703*a**2/2 + 1088. Give p(j(m)).
703*m**2
Let i(v) = -2*v. Let a(q) = -13*q**2 + 2273*q + 4. What is i(a(l))?
26*l**2 - 4546*l - 8
Let h(g) = -5*g + 2*g + 2*g. Let t(a) = -12908 + 4326 + 4310 + a + 4332. What is t(h(f))?
-f + 60
Let l(u) be the third derivative of u**4/24 + u**2 + 2*u - 16. Let k(t) be the first derivative of -11*t**3 + t - 1. Give k(l(m)).
-33*m**2 + 1
Let r(g) = g**2. Let j(q) = 1195*q**2 - 171027*q + 2. Calculate j(r(p)).
1195*p**4 - 171027*p**2 + 2
Let q(u) = 9*u**2 - 7*u. Let j(o) = -98220*o. Give q(j(x)).
86824515600*x**2 + 687540*x
Let u(v) = -63570041*v. Let z(d) = 2*d. Determine z(u(w)).
-127140082*w
Let v(s) = 6394*s**2 - s + 3422. Let z(c) = -2*c. Calculate z(v(n)).
-12788*n**2 + 2*n - 6844
Let h(b) = 2*b**2. Let x(p) = -25*p**2 - 40*p - 105. Let d(l) = 3*l**2 + 162*l + 8 - l**2 - 79*l - 80*l. Let w(j) = 40*d(j) + 3*x(j). Determine h(w(u)).
50*u**4 + 100*u**2 + 50
Let y(a) be the second derivative of a**5/120 - a**3/6 + 8*a**2 + 3*a - 35. Let v(d) be the second derivative of y(d). Let n(l) = -262*l - 2. What is n(v(g))?
-262*g - 2
Let x(f) = 1848*f. Let q(y) be the first derivative of y**2 + 1899. Give q(x(t)).
3696*t
Let f(z) = 31*z**2 - 5*z + 20. Let r(d) = 6*d**2 - d + 4. Let y(u) = f(u) - 5*r(u). Let a(l) = l + 146. What is y(a(o))?
o**2 + 292*o + 21316
Let o(j) be the third derivative of -j**5/60 + 8*j**2 - 464*j. Suppose 0 = 5*a - 4*w - 35, -2*a - 2*w = -0*w + 4. Let f(g) = g + 3 - a. Calculate o(f(z)).
-z**2
Let u(v) be the first derivative of 2*v**3/3 - 16310. Let o(f) be the third derivative of -49*f**4/24 - f**2. Give o(u(g)).
-98*g**2
Let n(k) = 239*k. Let p = -58 - -60. Let z(y) = y**2 - 12*y**2 + 9*y**p. Give z(n(g)).
-114242*g**2
Suppose h = 24 + 1. Let f(q) = 18 + 2*q - 43 + h. Let c(z) = -9*z**2 + 3*z. Give f(c(a)).
-18*a**2 + 6*a
Let n(w) = 2*w**2. Let g(a) be the second derivative of -11/2*a**2 + 1/6*a**3 + 0 - 4*a. Let o(p) = -2*p + 24. Let m(l) = 5*g(l) + 2*o(l). Calculate m(n(y)).
2*y**2 - 7
Let o(g) = -g + 1. Let v be o(-1). Let x(b) = 520 - 520 - b**v + 5*b**2. Let j(d) = -3*d. Give j(x(s)).
-12*s**2
Let k(i) = 9*i**2 + 9*i + 5423. Let m(f) = -22*f**2. What is k(m(o))?
4356*o**4 - 198*o**2 + 5423
Let h(c) = c - 249. Let t(l) = 2*l - 581. Let m(u) = -7*h(u) + 3*t(u). Let v(j) = 592*j - 3. Determine v(m(y)).
-592*y - 3
Let d = -131 - -138. Let q(p) = -d*p + 3*p**2 - 20 - 3*p + 29 + 10*p. Let j(g) = -3*g**2. Calculate j(q(s)).
-27*s**4 - 162*s**2 - 243
Let u(a) = 59*a + 2. Let s(k) = -3*k - 255915*k**2 + 3*k + 255912*k**2. What is s(u(t))?
-10443*t**2 - 708*t - 12
Let y(s) = s**2 - 1. Let z(m) = m**2 + 14*m + 22. Let g be z(-2). Let j(x) = -7*x**2 + 2. Let k(l) = g*y(l) - j(l). Let c(d) = 31*d. Calculate k(c(f)).
4805*f**2
Let n(t) = t**2 + 40*t. Let p(s) = -19*s + 2025. Calculate n(p(a)).
361*a**2 - 77710*a + 4181625
Let p(g) = -159*g. Let t(z) = -27*z**2 + 306*z + 13. Determine p(t(s)).
4293*s**2 - 48654*s - 2067
Let r(x) = 445*x. Let i(g) = -4*g + 39. Let q(o) = -o + 13. Let h(m) = 2*i(m) - 6*q(m). Determine r(h(l)).
-890*l
Let u(n) = -2322*n. Let q(a) = -45557*a. Give u(q(p)).
105783354*p
Let c(o) = 0*o - 967692 + 0*o + 967689 + 16*o**2. Let a(b) = 36*b**2. Determine a(c(v)).
9216*v**4 - 3456*v**2 + 324
Let u(j) be the first derivative of 13*j**3 + 3*j + 12246. Let f(z) = -z**2. Give f(u(c)).
-1521*c**4 - 234*c**2 - 9
Let t(d) = -18 - 2362*d + 2362*d + 16 + 138*d**2. Let k(i) = i**2. Let w(v) = v**2. Let m(o) = 6*k(o) - 5*w(o). Determine m(t(l)).
19044*l**4 - 552*l**2 + 4
Let c(p) = -160*p + 10. Let a(n) = -162*n + 15. Let l(x) = 2*a(x) - 3*c(x). Let m(v) = -15*v**2. What is m(l(r))?
-365040*r**2
Let g = 400 - 398. Let f(v) = 3*v**2 - 16*v**g + 6*v**2. Let u(o) = 4*o**2 + 3*o**2 - o**2. Calculate u(f(s)).
294*s**4
Let a(j) = 705551*j - 1. Let y(t) = -2*t. Calculate y(a(z)).
-1411102*z + 2
Let h(a) be the second derivative of -3*a**4/4 + 11*a**3/6 - 13*a + 33. Let x(k) = 7*k. Calculate h(x(o)).
-441*o**2 + 77*o
Let j(w) be the second derivative of -3*w**3/2 + 2*w - 440. Let y(t) = -2*t**2 - 47*t. Calculate j(y(d)).
18*d**2 + 423*d
Let v(h) = 12789541*h**2. Let z(p) = 38*p**2. Calculate z(v(n)).
6215749641645878*n**4
Let h(z) be the second derivative of -z**4/12 - 3*z. Let j(m) be the second derivative of -8*m - 2 - 2/3*m**3 - 3/2*m**2. What is j(h(r))?
4*r**2 - 3
Let j(s) = 11761 - 2*s - 11761. Let t be 24 + (-4)/(-12)*9. Let k(l) = -11*l - 12*l - 6 + t*l. Calculate k(j(g)).
-8*g - 6
Let w(s) = 42*s. Let h be 1*(40 - 5)/7. Let x(z) = -19 - h*z**2 + 9 + 4*z**2 + 10. Calculate w(x(p)).
-42*p**2
Let r(n) = 2*n. Let z(k) = -1. Let s(j) = j - 22. Let c(w) = 4*s(w) - 84*z(w). Calculate c(r(b)).
8*b - 4
Let k(a) = 78865*a. Let g(c) = -409*c. Determine k(g(f)).
-32255785*f
Let g(h) = -h**2 - 32. Let o(m) be the second derivative of 0*m**2 - 1/2*m**3 + 11*m + 0. Calculate o(g(z)).
3*z**2 + 96
Let f(r) = -12*r + 33. Let v(k) = 57*k - 154. Let h(p) = -14*f(p) - 3*v(p). Let s(y) = 10*y. Let g(d) = -5*d. Let t(o) = 9*g(o) + 4*s(o). Calculate t(h(u)).
15*u
Let a(i) = -2*i + 43.
|
{
"pile_set_name": "DM Mathematics"
}
|
r(b) be the third derivative of b**7/1680 - b**6/360 + b**5/240 - b**3/6 - 2*b**2. Let u(d) be the first derivative of r(d). Solve u(p) = 0 for p.
0, 1
Find b such that 0*b - 1/3*b**2 + 0 = 0.
0
What is u in -3/8*u**2 + 1/8*u**3 - 1/8 + 3/8*u = 0?
1
Factor -7*c - 16 - 3*c**2 - c**2 + 9*c + 18*c.
-4*(c - 4)*(c - 1)
Let m(u) = -2*u**2 - 2*u - 8. Let a(n) = n - 1. Let j(t) = -4*a(t) + m(t). Factor j(c).
-2*(c + 1)*(c + 2)
Let y = 7/22 - -9/110. Factor -y*x**3 - 2/5*x**4 + 0 + 2/5*x**5 + 2/5*x**2 + 0*x.
2*x**2*(x - 1)**2*(x + 1)/5
Factor -6/7*z**3 + 0 + 0*z + 6/7*z**2.
-6*z**2*(z - 1)/7
Let -4/7*v**3 + 0 - 16/7*v + 16/7*v**2 = 0. What is v?
0, 2
Suppose -6*y = -3*y - 9. Find b, given that -3*b**2 - y + 3 - 9*b - 6 = 0.
-2, -1
Let m(a) = -a**3 - 23*a**2 - 42*a + 2. Let n be m(-21). Let r(o) be the third derivative of 1/30*o**5 - n*o**2 + 0 + 1/3*o**3 + 0*o + 1/6*o**4. Factor r(u).
2*(u + 1)**2
Let t(x) = x + 13. Let o be t(-11). Let w(b) be the first derivative of -4/3*b**3 + 4/5*b**5 - 1/2*b**4 + 0*b + b**o - 2. What is q in w(q) = 0?
-1, 0, 1/2, 1
Let q = 1015/3 + -333. Let o(a) be the first derivative of 19/2*a**4 + q*a**3 + 4 + 0*a - 4*a**2 + 14/5*a**5. Determine c, given that o(c) = 0.
-2, -1, 0, 2/7
Let a(z) be the first derivative of -1/3*z**3 + 3/10*z**5 + 1/4*z**4 + 1/12*z**6 - 1/2*z - 3/4*z**2 - 2. Factor a(p).
(p - 1)*(p + 1)**4/2
Let n(z) be the second derivative of z**3/6 - z**2/2 + 2*z. Let o be n(5). Factor -8*j + 0*j**2 - 3*j**2 - j**3 - o - 2*j**2.
-(j + 1)*(j + 2)**2
Let a(h) = 3*h**3 - 10*h**2 - 21*h - 3. Let i(r) = 2*r**3 - 10*r**2 - 20*r - 4. Let z(n) = -4*a(n) + 5*i(n). Solve z(w) = 0.
-2, -1
Let c(z) be the first derivative of -3*z**5/10 + 3*z**4/2 + 5*z**3/2 + 30. What is r in c(r) = 0?
-1, 0, 5
Let f(z) = 5*z**3 - 3*z**2 - 2*z. Let s(i) = i**2 + i - i**2 + i**2 - 2*i**3. Let c(u) = 3*f(u) + 7*s(u). Solve c(t) = 0 for t.
0, 1
Factor 0 + 2*f**4 + f**2 + 5/2*f**3 + 0*f + 1/2*f**5.
f**2*(f + 1)**2*(f + 2)/2
Factor 8 - 3*r - 2*r**2 + 4 + 0*r + r.
-2*(r - 2)*(r + 3)
Suppose 0*t + 8 = 4*t. Suppose t*k = -3*k + 10. Factor -k*x**4 + 4*x**5 + 0*x**3 + 4*x**5 - x**3.
x**3*(2*x - 1)*(4*x + 1)
Let r(g) = -g**2 - 11*g - 4. Let o be r(-7). Suppose 5*l - l = 4*u + 4, u - o = -4*l. Factor -v**2 - v**l + 0*v**5 + 4*v**4 + v**3 - 3*v**4.
-v**2*(v - 1)**2*(v + 1)
Let q(k) = -k**3. Let a(p) = -18*p**4 - 11*p**3 + 10*p**2 - 2*p. Let j = -4 - -9. Let m(d) = j*q(d) - a(d). Factor m(l).
2*l*(l + 1)*(3*l - 1)**2
Let l(p) = p**2 + 5*p. Let o = 9 + -3. Let d = 27 + -10. Let s(x) = -3*x**2 - 14*x. Let k(n) = d*l(n) + o*s(n). Factor k(q).
-q*(q - 1)
Let q(l) be the second derivative of l**5/5 + l**4/3 - 2*l**3/3 - 2*l**2 + 12*l. Factor q(s).
4*(s - 1)*(s + 1)**2
Let h(l) = -3*l**3 + 8*l**2 - 8*l. Let o(b) = 2*b**3 - 5*b**2 + 5*b. Let q(f) = -5*h(f) - 7*o(f). Let z be q(4). Factor 2*m**2 - m**2 - z*m**2 + 4*m**2.
m**2
Suppose -29*u + 15 = -24*u. Let z(g) be the first derivative of 1/2*g**4 + g**2 + 4/3*g**u + 0*g + 1. Factor z(b).
2*b*(b + 1)**2
Suppose 2*p + 10 = b - 0*p, -2*b - 2*p + 2 = 0. Let q be 4/(-6) + b/6. Factor 2/3*j**2 + q - 2/3*j**3 + 0*j.
-2*j**2*(j - 1)/3
Let q be 4*(3 - (-13)/(-2)). Let c = 16 + q. Find o such that -2/3*o + 1/3 + 1/3*o**c = 0.
1
Let u(y) be the third derivative of -y**7/63 + 11*y**6/90 - 11*y**5/30 + 5*y**4/9 - 4*y**3/9 + 3*y**2. Solve u(o) = 0 for o.
2/5, 1, 2
Let j(x) be the second derivative of x**4/12 - x**3/6 + x**2/8 - 18*x. Factor j(v).
(2*v - 1)**2/4
Let t = 38 - 189/5. Factor -1/5*d**3 + 1/5*d - 1/5*d**4 + t*d**2 + 0.
-d*(d - 1)*(d + 1)**2/5
Factor 4/5*v**4 + 0*v**3 + 0 - 4/5*v**2 + 0*v.
4*v**2*(v - 1)*(v + 1)/5
Let v = 6 - 7. Let w be 26/8 - 0/v. Let -62*u**4 - 151/4*u**3 + w*u - u**2 - 28*u**5 + 1/2 = 0. Calculate u.
-1, -1/4, 2/7
Let r(g) be the third derivative of -g**5/60 - g**4/8 - g**3/3 + 22*g**2. Solve r(l) = 0.
-2, -1
Factor -29 + 3*h**2 - 32*h + 93 + h**2.
4*(h - 4)**2
Determine o, given that 4 + 7*o**2 - 12*o - 8*o**3 - 4*o + 13*o**2 = 0.
1/2, 1
Let m(t) be the second derivative of 0 + t + 1/80*t**5 - 1/24*t**3 + 0*t**2 - 1/48*t**4 + 1/120*t**6. Factor m(z).
z*(z - 1)*(z + 1)**2/4
Let h(y) be the third derivative of -y**8/112 + y**7/70 + 3*y**6/40 - y**5/4 + y**4/4 - 10*y**2. Suppose h(z) = 0. Calculate z.
-2, 0, 1
Let c(b) be the first derivative of -b**7/2940 - b**6/420 - b**5/210 + b**3/3 - 3. Let z(a) be the third derivative of c(a). Determine i so that z(i) = 0.
-2, -1, 0
Let j be (-32)/(-20)*(-2)/(-8). Suppose 4 = 3*l - 2. Solve 0*u - 4/5*u**3 - 2/5*u**4 + 0 - j*u**l = 0.
-1, 0
Factor 0 + 2/5*j - 16/15*j**2 + 4/5*j**3 + 0*j**4 - 2/15*j**5.
-2*j*(j - 1)**3*(j + 3)/15
Factor -7*z**4 + 6*z**3 + 11*z**4 - 3*z**4 + 9*z**2.
z**2*(z + 3)**2
Let o(t) = -2*t**2 - 3. Let h(n) = -14*n**2 - 22. Let v(f) = -6*h(f) + 44*o(f). Let v(p) = 0. Calculate p.
0
Let c(x) = -5*x**3 - 20*x**2 - 20*x. Let o(m) = -5*m**3 - 20*m**2 - 20*m. Let q(w) = 6*c(w) - 5*o(w). Solve q(l) = 0 for l.
-2, 0
Suppose -10 = -7*z + 9*z. Let c be z/15 + (-2)/(-3). Find q, given that 1/3*q**3 + 2/3*q**2 + 0*q - c*q**4 + 0 = 0.
-1, 0, 2
Factor -64*n**5 - 2 + 9 + 432*n**4 - 85*n - 876*n**3 - 29*n + 2 + 505*n**2.
-(n - 3)**2*(4*n - 1)**3
Suppose -5*p + 33 - 33 - p**2 = 0. Calculate p.
-5, 0
Let t(b) = 4*b**5 - 6*b**3 + 2*b**2 + 4*b. Let n(z) = -9*z**5 + 13*z**3 - 5*z**2 - 9*z. Let p(w) = -2*n(w) - 5*t(w). Let p(l) = 0. What is l?
-1, 0, 1
Let b be ((-3)/(-54)*-16)/((-4)/6). Factor b - 2*g**3 - 4*g + 1/3*g**4 + 13/3*g**2.
(g - 2)**2*(g - 1)**2/3
Suppose -2*k - k = -15. Suppose 5*q + 4 = -3*j, k*j = -4*q - q. Factor j*s**2 + 0 - 1 - 4*s**4 + 3*s**4.
-(s - 1)**2*(s + 1)**2
Let a(o) = -o - 1. Let w(l) = -5*l**4 + 25*l**3 - 45*l**2 + 37*l - 8. Let q(t) = 2*a(t) + w(t). Factor q(z).
-5*(z - 2)*(z - 1)**3
Find p, given that 4*p**4 + 7*p**3 + 0*p**4 + 3*p - 14*p**2 + 0*p**3 = 0.
-3, 0, 1/4, 1
Let y be 4 - 6*2/4. Let t = 3 - y. Factor -2/3*q**t - 8/3 - 8/3*q.
-2*(q + 2)**2/3
Let j(c) be the second derivative of -c**5/5 + c**4/3 + 2*c**3/3 - 2*c**2 - 6*c. Factor j(m).
-4*(m - 1)**2*(m + 1)
Determine c so that 15*c - 3 - 15/4*c**2 - 15*c**3 + 27/4*c**4 = 0.
-1, 2/9, 1, 2
Let a be 10 - 2/(-4)*-2. Let w = -4 + a. Factor 6*l**w - 2*l**3 - l - 5*l**5 + 2*l.
l*(l - 1)**2*(l + 1)**2
Suppose -3*b - 12 = -6*b. Let c = 22 - 19. Solve 1/2*o**c + 0*o + 1/4*o**2 + 1/4*o**b + 0 = 0.
-1, 0
Let a(w) = 11*w - 2. Let l(s) = -5*s + 1. Let i(k) = 4*a(k) + 9*l(k). Let o(q) = q**2 + q - 1. Let u(d) = 3*i(d) + 6*o(d). Factor u(t).
3*(t + 1)*(2*t - 1)
Let u(v) be the second derivative of -v**4/16 - v**3/4 + 9*v**2/8 - 16*v. Factor u(i).
-3*(i - 1)*(i + 3)/4
Let v(k) be the third derivative of k**8/1848 - k**7/385 + k**6/220 - k**5/330 - k**2. Find j, given that v(j) = 0.
0, 1
Let a(h) = h**3 - 5*h**2 - 8*h. Let g(m) = -15*m + 5*m**3 - 3*m**3 - m**2 - 8*m**2. Let w(q) = -11*a(q) + 6*g(q). What is j in w(j) = 0?
-2, 0, 1
Suppose 2*c = -3*f + 4*f + 7, -7 = -c - 3*f. Let m(b) be the third derivative of 2*b**2 + 0*b + 0*b**3 + 1/210*b**5 + 0 + 0*b**c. Factor m(s).
2*s**2/7
Let d(f) = 3*f**2. Let o be d(1). Factor -10*m**5 - 21*m + 4 - 13*m + 44*m**4 + 64*m**2 + 8*m - 76*m**o.
-2*(m - 1)**4*(5*m - 2)
Let b be 2/(-12) + (-122)/(-12). Let w be ((-4)/b)/(6/(-5)). Factor -1/3*t**2 - 2/3*t + w*t**3 + 0.
t*(t - 2)*(t + 1)/3
Suppose 2*f = -3*n + 18, -2*n + 23 = 2*f + 3*f. What is p in 3*p**f - p + 4 - 2*p**3 - 2*p**2 - 2 = 0?
-1, 1, 2
Let k(b) be the third derivative of 1/40*b**5 - 1/24*b**4 + 0*b**3 + 0*b + 0 - 4*b**2 - 1/240*b**6. Factor k(h).
-h*(h - 2)*(h - 1)/2
Let z(k) = -2*k - 4. Let d be z(-4). Factor 4*c**3 - 2*c + 0*c - 2*c**3 - 1 + 0*c**3 + d*c**2 - 3*c**4.
-(c - 1)**2*(c + 1)*(3*c + 1)
Let x(w) be the second derivative of -w**4/6 - w**3/3 - 2*w. Find c such that x(c) = 0.
-1, 0
Let x(y) = y**2 + y + 1. Let i(d) = -8*d**2 - 16*d - 4. Let o(z) = i(z) + 4*x(z). Suppose o(u) = 0. Calculate u.
-3, 0
Let a(j) = -17*j**3 + 7*j**2 - 29*j - 5. Let g(r) = -6*r**3 + 2*r**2 - 10*r - 2. Let d(h) = 4*a(h) - 11*g(h). Factor d(l).
-2*(l - 1)**3
Let y(m) be the third derivative of m**5/120 + 5*m**4/48 + 12*m**2. Factor y(v).
v*(v + 5)/2
Let c = -37 - -149/4. Let k be (-4)/10*15/(-12). Solve -1/4 - k*l - c*l**2 = 0 for l.
-1
Suppose 27*y**4 + 21*y**5 - 80*y**3 - 12*y**4 + 12*y**2 + 32*y**3
|
{
"pile_set_name": "DM Mathematics"
}
|
*(-6/11))**40*(y*y**(-4))**(3/20))**(-1/28) assuming y is positive.
y**(4899/6160)
Simplify (y**3*y*y*(y/((y/(y**(1/8)/y))/y))/y*y)/((((y/y**(-2/3))/y)/y)/y**(4/7))*(y**1)**(19/2)*(y/(y*y**(-3/7)*y))/y**(-3) assuming y is positive.
y**(431/24)
Simplify ((n**(-1/4))**(3/32)*n**(-2/7)*((n*n**(1/2))/n)/n*n*n)/((n*n**(-2/3)*n*n*n**(-4/5))/(n**1)**(-23)) assuming n is positive.
n**(-313723/13440)
Simplify (((c**6*(c/(((c**(2/7)/c)/c)/c))/c)/((c*c*c**(-1/4)*c*c)/(c*(c/(c/c**(-2/7))*c)/c)))**(-47))**(1/5) assuming c is positive.
c**(-7473/140)
Simplify ((p/(p**(-3)*p))/p*p**26*(p**(-28)/p)/((p**(-1)*p)/p*p))**(-14/11) assuming p is positive.
p**(14/11)
Simplify z**(-9)/z*z*z**(2/13)*(z**40)**22 assuming z is positive.
z**(11325/13)
Simplify ((v**(2/13)*v)/v**(-2))/((v/v**1*v*v)/(v/v**(4/5)))*((v/(v*v/(v**(1/4)*v*v)*v*v)*v*v*v)/v)**(-40)/(v*v**1)**(-30/7) assuming v is positive.
v**(-18234/455)
Simplify z**(-2)*z*z*z**(-2)*z**(-3)/(z*z**1)*(z**(-2/3)/z)**17*z**(1/3)/z**5 assuming z is positive.
z**(-40)
Simplify t**2*t**(-2/3)*(t**(-2/11)*t)/t**(3/8)*((t**5/t)/(t*t/(t**(1/5)*t)))/(t*t**0)**(-15/7) assuming t is positive.
t**(65783/9240)
Simplify (((((q**(-2/5)/q)/q)/q)/q)**(-2/41)/((q*q*q**(-2/9)*q*q)/q**(2/9)))/((q**(2/5))**19/((q**(1/6)*q)/(q/(q/q**(-3))))) assuming q is positive.
q**(-24997/3690)
Simplify (r**5/((r*r/r**(-2))/r)*r**(-5)/r*(r/(r**(-8)/r*r))/r)/((r**(2/3)*r**(-1)*r)/((r*r**(-4)/r*r)/r**(-7))) assuming r is positive.
r**(22/3)
Simplify (k**(-41))**(-42)/((k/(k/((k/((k**(-1/30)/k)/k))/k))*k)/(((k**22*k)/k)/k)) assuming k is positive.
k**(52199/30)
Simplify (((b*(((b/b**(1/4)*b)/b)/b)/b)/b*b*b**(-1))/((b**(-1)/b*b)/b**(-6)))/(b**1*(b/((b/(b**0*b*b)*b*b)/b)*b)/b)**(-48) assuming b is positive.
b**(359/4)
Simplify ((r**(-1/10)*r)**23*r**(-4)*r**14)**(2/31) assuming r is positive.
r**(307/155)
Simplify (((z*(z*z**(1/5))/z)/z)/((z**1/z)/z))**35*((z*z*z*z**(-1/4))**(-36))**(-2/113) assuming z is positive.
z**(4944/113)
Simplify j**(-1/10)*(j**(2/5)/j)/j*(j**0)**(-22/3)*((j*j**4)/(j*j**(-5)))**(-1/17) assuming j is positive.
j**(-379/170)
Simplify (k**(4/7)/(k*k/(k*k**(-13)*k)*k))/(k**(1/68)/k**(-3)) assuming k is positive.
k**(-7827/476)
Simplify (((i*i**(-1/8))/i)**(-28))**(-1/12)/((i*i*i**(-2/9)*i**7)/(i**2)**(-50)) assuming i is positive.
i**(-7853/72)
Simplify ((s**(-2/7)/s)/s)**(-2/31)*s**(2/3)/((s/(s**6/s*s))/s)*(s**(1/4))**(-18)*s**(2/15)*s**(-2) assuming s is positive.
s**(971/2170)
Simplify ((a*a**(-5)*a)**(1/3)*(a**0/a)**(-9/10))**(4/37) assuming a is positive.
a**(-2/185)
Simplify (l*l**1)**(-14)*((l*l**(2/3)/l)/l)**(-47)*(l**1*l)**(-14)/((l**7/l)/l*(l/(l*l**7))/l) assuming l is positive.
l**(-112/3)
Simplify (((b*b/b**(-1))/b)/b)/(b*b**7/b*b)*(b**1)**(-4)*(b**8/b**(5/4))**(4/15) assuming b is positive.
b**(-46/5)
Simplify m**(3/5)/(m*m*m**1/m)*m*m**(1/55)*m*m**(-7/6)*m*m assuming m is positive.
m**(479/330)
Simplify (f**(2/7))**7/(f/(f/(f*f**(-1))))**30*(f**(-11/3)*f*f*f**(-2/17))**(-26) assuming f is positive.
f**(2468/51)
Simplify ((((k*k**(-1))/k**(-3))/(k**(-1/2)*k*k*(k**(6/11)*k)/k))**(3/35))**25 assuming k is positive.
k**(45/22)
Simplify ((w*w/w**2*w/w**7)/(w/w**1)**2)/((w**(-2/3)/w)**(-5/8)*(w*w**(1/2))**(1/5)) assuming w is positive.
w**(-881/120)
Simplify (d/(d*d**(-1)))**(7/5)*((d*(d/d**4)/d*d)/d*d)/d*d**1*((d**(-7)/d)/d*d*d/(d*d**(-4/3)*d))**(-42) assuming d is positive.
d**(1607/5)
Simplify (((x*x**1)**(-17)*x*x/((x**(-6)*x*x)/x)*x*(x**(2/3)*x*x)/x)**(-3/22))**(-1/52) assuming x is positive.
x**(-73/1144)
Simplify (o/(o/(o**(-33)*o)))**(-2/5)/(o**(2/31))**(-1/11) assuming o is positive.
o**(21834/1705)
Simplify ((u**(-2/7)/u)/u)**34/(u**4/u**(-1/13))*(u**14/(u**10*u))**(-1/19) assuming u is positive.
u**(-141690/1729)
Simplify ((n**1/n)/n)**(-22)/(n*n**(1/2)*(n**(2/13)/n)/n)*((n**0)**(2/87))**(2/101) assuming n is positive.
n**(581/26)
Simplify (((j**(-2/7)*j*j**(2/3))/(j/(j*j**(-1)*j*j*j)*j/(j/j**(-7/4))*j))**(-17))**0 assuming j is positive.
1
Simplify ((n*n**0/n)**38)**(-26)*n**1/(n/n**(-2/3)*n)*(n*n**1)/(((n/(n/(n/(n/(n**(-6)*n*n*n*n)))))/n)/n) assuming n is positive.
n**(13/3)
Simplify (n**5*n**(-7))**(-28)/((n/((n*n**1*n)/n))**(-1/12)/((n/(((n/n**(-6))/n)/n))/n*n**(-5))) assuming n is positive.
n**(551/12)
Simplify (((a**16*a)/a)/(a**(2/19)*a)*(a/a**2)**(5/3))**(-28) assuming a is positive.
a**(-21112/57)
Simplify (((o**(-6)*o)/o*o*o**6)/(o**(-2/5))**(-8))**(8/3) assuming o is positive.
o**(-88/15)
Simplify (h*h/(h**9/h)*h**(-1/8)*h**(8/7)/(h/(((h**(3/2)*h)/h)/h)*h))**(3/13) assuming h is positive.
h**(-1089/728)
Simplify (l/(l/(l/l**(2/17)))*(l*l**(-2))/l*l**(-3)/((l/l**(1/6))/l))/((l**(-1/3))**(-43))**(17/4) assuming l is positive.
l**(-4411/68)
Simplify l**(-1/5)*l*l**(3/4)*((l*l**(-1/2)*l)/l)**(-39)*((l*l**(-2)/l)**(1/32))**(-18/5) assuming l is positive.
l**(-709/40)
Simplify (g/(g/g**(-29))*g*g*g**(24/7)*g)/((g*g**(-2/109)/g)/((g**18*g)/g*g)) assuming g is positive.
g**(-2711/763)
Simplify (w*w**(2/39)*w*w)**(7/2)/(w*w/(w/w**(-11/7))*w*w/w**(-7)*w) assuming w is positive.
w**(683/546)
Simplify ((l*l**(1/2)*l)/l)/(l/(l/l**4))*l**5*l**(-3)*(l**6/l*l*l/(l**(-4)*l))/(l**1*l)**(-6/25) assuming l is positive.
l**(499/50)
Simplify (k**(2/17)/(k*k/(k/(k**5*k))))**(-10/17)*((k**1/k)/(k**(-4)/k))/(k/(((k*k**0/k*k)/k)/k)*k**5) assuming k is positive.
k**(592/289)
Simplify ((y/y**(-20))/(y/(y/(y*y*y/(y**(-5)/y))))*(y*y*y/((y/y**(-3))/y*y))**(-2/17))**(-13/5) assuming y is positive.
y**(-2678/85)
Simplify (c*c**(-34)/c*c/(c/(c**4*c))*c/(c*(c*c/c**(1/21))/c)*c*c**(6/19)/c*c)**6 assuming c is positive.
c**(-22852/133)
Simplify (b*b*b*b/b**(-30)*((b**(-25)/b*b)/b*b)/b*b*(b**(-1/9))**26)**(3/8) assuming b is positive.
b**(55/24)
Simplify (h**(2/3))**(-49)*h/h**4*h**(-2)*h*h*(((h/(h/((h**6*h)/h*h)))/h*h)/(h*h*h**(-1)))/((h*h**(1/2))/h**3) assuming h is positive.
h**(-169/6)
Simplify ((c**4/(c*c/(c*c**(-3/2)*c*c)*c*c*c*c))/(c**0)**(-4/9))/(((c/c**(1/3)*c)/(c/(c**(-1/5)/c)))/((c/(c**1/c))/c)**24) assuming c is positive.
c**(1/30)
Simplify (o**(-14/5))**(-5/7)*o**19*(o/((o/(o*o*o*((((o**(4/11)*o*o)/o)/o)/o)/o*o)*o*o)/o))/o*o assuming o is positive.
o**(246/11)
Simplify (b**12*b)**(-1/11)*b**(-1/12)*b/b**(-1/22) assuming b is positive.
b**(-29/132)
Simplify ((c**(-4)*c**1)/(c/((((c*c/c**(-7))/c*c)/c)/c)*c*c**(-2)))/(c/(c*c/(c*c/(c**(-5)*c)))*c*c**(1/4))**(-1/20) assuming c is positive.
c**(69/16)
Simplify (q*(q*q**1)/q)**(-48)/(q**1/q)**41*(q/(q**2/q)*q**(-2/15))/(q**(-4)/(q/(q**(-1)*q))) assuming q is positive.
q**(-1367/15)
Simplify ((v**(-7)*v)**(-5)*(v/v**(1/6))**(26/7))**(-33) assuming v is positive.
v**(-7645/7)
Simplify (((g/(g/(g*g**(-13)*g))*g)/(((g*g/(g*g/((g**(-2/7)/g)/g)))/g)/g))/(g/(g*((g*g**(-3))/g)/g))**(-22/5))**(-1/11) assuming g is positive.
g**(-416/385)
Simplify (c**(-2/17)/(c**(2/5)/c)*(c**8*c)/(c/c**(2/9)))**(14/9) assuming c is positive.
c**(93226/6885)
Simplify (j**(1/2)*j**(-1/23))**(-42)/((j/(j*j*j**(-2)/j*j))**(-49)/((j*j**1)/j)**(-5/11)) assuming j is positive.
j**(7431/253)
Simplify x**1/(x*x/x**(-5))*x/(x*x**(1/5))*x*x**(-3)*x*(x**(-1))**(-6)*x**(3/5)/x*x*x**(1/13) assuming x is positive.
x**(-34/65)
Simplify (q**16/q)**(-1/15)/(q**(-49)/(q*q**(3/7)/q)) assuming q is positive.
q**(339/7)
Simplify ((l/(l/l**(-1/5)))**(4/13))**47*l**(-2/9)/(l*(l/l**(5/3)*l*l)/l)*l**(-5)/l**6 assuming l is positive.
l**(-9037/585)
Simplify ((y**(-4)*y)**(8/11))**(-32)*(y*y**(2/7))**(-40)/(y*y**5*y/(y/(y*y*y**(-2))*y)) assuming y is positive.
y**(1031/77)
Simplify (f/f**(2/5)*f*f**(-5/3)/f)/(f*f*f/(f*f**(-1/5)/f)*f**(-1/3)*f)*((f*f**3)/(f**4*f))**48 assuming f is positive.
f**(-794/15)
Simplify ((s/(s/(s**5*s)))/(s**(1/5)*s))**(-3/10)/((s/(s*s/(s/s**(-2))))/s**(-3/2))**18 assuming s is positive.
s**(-1611/25)
Simplify ((t*t**10)/t*t**1)**(3/7)*((t/(t*t**(-4/7)))/t*t*((t*(t**5*t)/t)/t)/t)**43 assuming t is positive.
t**(1409/7)
Simplify ((i/i**(-7)*i**(4/17))/(i*i**(-1/4))**(-13/2))**(-10/17) assuming i is positive.
i**(-8915/1156)
Simplify ((((p**(3/5))**(1/8))**(-11/5))**(-2/67))**(1/13) assuming p is positive.
p**(33/87100)
Simplify ((y*y/(y/y**1))/y*y**(-1/4))**(7/2)/(((y/(y/y**(-3)*y)*y)/y**(-6))/((y/(y*y**0)*y)/(y/(y**4/y)))) assuming y is positive.
y**(21/8)
Simplify (w**0/w)**47/(w/(w/w**(-1/2))*(w*w**(1/9
|
{
"pile_set_name": "DM Mathematics"
}
|
iggest value in 2, 9.4, 0.6, 0.85, 1/11, -11, -0.1?
9.4
Which is the sixth smallest value? (a) 1 (b) 14 (c) -29 (d) -14 (e) -5 (f) -0.26
b
What is the fifth smallest value in 5, -188.1, -40, -1/4, 4?
5
What is the third smallest value in 40/31, -1/4, -441, 2/21?
2/21
What is the fifth smallest value in 2, 0.4, -8, -4/5, -3836?
2
What is the second biggest value in -0.5, 41, -1700/743?
-0.5
What is the smallest value in 2/11, -473822, -8?
-473822
What is the second biggest value in 0.012, 1/2, 364.1, 7/6, -0.3?
7/6
Which is the third smallest value? (a) -16.8 (b) -14/15821 (c) -15
b
What is the fourth biggest value in 4, 2/3, 3/37, -2579?
-2579
Which is the second smallest value? (a) -0.4 (b) -1 (c) 6704 (d) 9 (e) -4 (f) -2
f
What is the second biggest value in -2/9, 7113, 5, 42?
42
What is the biggest value in -187, -180, -0.85?
-0.85
What is the biggest value in -2/97, 4, 40659/4?
40659/4
What is the fifth biggest value in -0.0289, 1, 0, 20, 3, 0.3, -266?
0
Which is the fifth smallest value? (a) 1.3 (b) -249 (c) 320 (d) 1/6 (e) 0.06
c
What is the second smallest value in 520526, 0.5, -3/16?
0.5
What is the third biggest value in 4579, 1, 2, 3/2, -4, -30.7?
3/2
Which is the biggest value? (a) -1 (b) -29662 (c) 138.8
c
What is the second biggest value in -11353, -177, 0?
-177
What is the fourth biggest value in 5, -1.18, -7784, 127, -2?
-2
Which is the second smallest value? (a) 2/11 (b) 0.4 (c) 1384588
b
What is the fifth smallest value in -70, 5, 5/2, -21, -0.036?
5
Which is the sixth smallest value? (a) -4 (b) 8 (c) -2/23 (d) 3 (e) -0.2596 (f) -13/3
b
What is the smallest value in 117780, -4, 3, 4/59?
-4
What is the third biggest value in 2/7, -2, 5/4, 21, -119, -2/7?
2/7
What is the fifth biggest value in -0.0259, -2/15, 1/4, 3, -61, -125/2?
-61
Which is the second biggest value? (a) 57582 (b) -2/7 (c) 1 (d) -0.4 (e) -1 (f) -1/2 (g) 0.3
c
What is the third biggest value in -294, 0.1, -5, -0.113, -3/7, 0.11, 2?
0.1
What is the smallest value in -2, -0.27, 12, 0.31, 0.8, 2?
-2
Which is the fourth smallest value? (a) 0.11751 (b) -2/81 (c) -0.1 (d) -1/6
a
Which is the biggest value? (a) -3/2 (b) 0.0755 (c) -6/89
b
What is the third smallest value in 0, -575, -0.3, 6.65, 0.2, -4, -0.4?
-0.4
Which is the third smallest value? (a) -0.5 (b) -1 (c) -0.1 (d) 9.9 (e) -14695
a
What is the smallest value in -4, 0.2, 3231, -5, 171/52?
-5
Which is the fourth biggest value? (a) -1/5 (b) 1.8 (c) -0.5 (d) -0.0921
c
What is the second smallest value in 0.02082, 1/4, -257?
0.02082
What is the third biggest value in -2/3, 1/4, 21/2, -745, 0.3, 7?
0.3
What is the third biggest value in 2/25, -2/9, -2/3, 23/28?
-2/9
What is the second smallest value in 246, 0, 106/5, -31/5?
0
What is the third biggest value in 2/33, 246/3133, -1/5, 7?
2/33
Which is the fourth biggest value? (a) -3/7 (b) 5 (c) -12 (d) 12.414
c
What is the third biggest value in 570, 0.497, -8?
-8
What is the third biggest value in 0, -23571, -1/6, 26/3?
-1/6
What is the second smallest value in -0.4, -1913, 10101?
-0.4
Which is the fifth biggest value? (a) 84 (b) -2 (c) -5 (d) 0.004 (e) 18 (f) 4
b
What is the second smallest value in -2545229, -1/4, 3?
-1/4
What is the fourth smallest value in 2046, -313, 58, 0?
2046
Which is the second biggest value? (a) -53 (b) -5 (c) -0.8 (d) 0.4 (e) 71 (f) 33 (g) 1
f
What is the third smallest value in -9, -1/8, -686/961?
-1/8
Which is the biggest value? (a) 0.5 (b) 0.4 (c) -0.0671923 (d) 1/45
a
What is the third biggest value in 4/24903, 1134, 1/4, -2/13, -4, 4?
1/4
Which is the fourth smallest value? (a) -0.5 (b) 8 (c) -0.4 (d) -2/7 (e) 2942184
b
What is the second smallest value in -795, -2/3, 0.17, 386?
-2/3
What is the third biggest value in -3/2, 61/155, -14357?
-14357
Which is the third smallest value? (a) 5/7 (b) -139 (c) -16/3 (d) -0.4 (e) -0.3 (f) 0.1
d
Which is the sixth smallest value? (a) -5/4 (b) -0.5 (c) 22 (d) 43 (e) -1 (f) 10/9
d
Which is the third smallest value? (a) 12 (b) 7/6 (c) -33680
a
Which is the third biggest value? (a) 0 (b) -8/5 (c) -7 (d) -1/65 (e) 1/2
d
What is the smallest value in -25, -17, -5, -1/827?
-25
What is the third biggest value in -123, -53114, 0?
-53114
Which is the third smallest value? (a) -1 (b) -1/10 (c) 39 (d) 1 (e) -0.7 (f) 65 (g) 3
b
What is the third smallest value in -24, -0.15, 3/389?
3/389
What is the smallest value in 2.6, -897, 2, -85?
-897
What is the second biggest value in 19956, -3, 2/857?
2/857
Which is the second smallest value? (a) -6 (b) 1899 (c) 4 (d) 25 (e) -4/7 (f) 0.2
e
What is the fourth biggest value in -5, 20/7, -1/9, -58, -1/6?
-5
Which is the biggest value? (a) -0.0513 (b) 4 (c) 24 (d) 1 (e) 8/3
c
What is the smallest value in -73, -391, 1/83?
-391
Which is the fourth smallest value? (a) -17 (b) -1 (c) 4 (d) -5 (e) 0.36 (f) 0.3 (g) 2.4
f
Which is the seventh smallest value? (a) 92101 (b) -0.2 (c) 2/7 (d) 0.13 (e) -0.4 (f) -2 (g) -4
a
Which is the third biggest value? (a) 24/2363 (b) 3 (c) 1 (d) 47
c
What is the second biggest value in 0.2, -7, 115/683?
115/683
Which is the second biggest value? (a) -25.919 (b) 195 (c) 0 (d) -1
c
What is the sixth smallest value in 2, -4, -1/2, 4, 1220, -64?
1220
Which is the fifth biggest value? (a) -34 (b) -1/2 (c) 6 (d) -3 (e) -0.1 (f) 1/13 (g) 1/5
b
Which is the smallest value? (a) -10 (b) 4/3 (c) -1/9 (d) -2.98 (e) -0.01 (f) 1/6
a
What is the fourth smallest value in -0.4, -30/17, -25, -29?
-0.4
What is the biggest value in 1, -5/2, 0.18, -1/4, 9207/7?
9207/7
Which is the fifth smallest value? (a) -0.3 (b) 1/13 (c) -23 (d) -2 (e) -7 (f) 2.2 (g) -3/7
a
What is the fourth smallest value in -4169, 1, 0.5, 30/13?
30/13
What is the biggest value in 15, -0.1, -4461, 10?
15
Which is the smallest value? (a) -0.1 (b) 37 (c) -3/2 (d) 75 (e) 0.5
c
What is the third smallest value in 0.2, 1, -8, -5, 0.4, -109?
-5
Which is the third smallest value? (a) 2/17 (b) 3969 (c) 2 (d) -0.1 (e) -13
a
What is the third biggest value in 4, 599.74, 1/3, -0.54?
1/3
Which is the sixth biggest value? (a) -2 (b) 0.1 (c) -7/17 (d) -5 (e) -1/7 (f) 0.312 (g) 2/11
a
What is the fifth smallest value in 1621, -0.038, -5, 19, 3/7?
1621
What is the fifth smallest value in 36, 0.3, 0.5, 0, 46.49, 2?
36
Which is the fifth biggest value? (a) 0 (b) 5/1583 (c) -2.3 (d) 1 (e) 13 (f) 0.5
a
What is the smallest value in -10.4, 0.1, -1/18, 0.24993?
-10.4
Which is the smallest value? (a) 11/159 (b) 0.08 (c) 3/8 (d) -0.07
d
What is the second smallest value in 2/15, -3/17, 4/3, 9, -2/9, 10, -0.03?
-3/17
Which is the smallest value? (a) 1 (b) 6 (c) -4 (d) 2/407 (e) 0.5 (f) 14.9 (g) 3/8
c
Which is the smallest value? (a) -28.064 (b) -1 (c) -3323
c
Which is the fifth smallest value? (a) 0.1 (b) -4/7 (c) -477 (d) 3 (e) -0.4 (f) -8
a
Which is the fourth biggest value? (a) 15 (b) 2/7 (c) 0.5 (d) 0.02 (e) 0 (f) 0.7 (g) 0.45
g
What is the biggest value in 2/1107, -58, -0.166?
2/1107
What is the third smallest value in -0.4, 24/97, 3/5, -4.717, -2/11?
-2/11
Which is the fifth biggest value? (a) 0 (b) 5 (c) 101 (d) 4/1395 (e) 2/13
a
Which is the third biggest value? (a) -9 (b) 104528 (c) 0.3 (d) -0.14
d
Which is the smallest value? (a) -5/2 (b) 5 (c) 0.4 (d) 0 (e) -1010
e
Which is the smallest value? (a) -11 (b) -4 (c) -50 (d) -0.1 (e) 2 (f) 1.1 (g) -5
c
What is the biggest value in 1, 7, -0.2, -0.032, 11, 4, 1.4?
11
Which is the fourth smallest value? (a) -2 (b) 3/5 (c) 3 (d) 4 (e) -2/15 (f) 1081 (g) -0.04
b
What is the fourth biggest value in 34, -4/3, -0.04, 77/3, -0.119, -5?
-0.119
What is the biggest value in -2/13, 0, 0.4, 227.9, 3?
227.9
Which is the third smallest value? (a) -17 (b) 24/19 (c) -5/9 (d) -11
c
What is the third biggest value in 5499, -7, -5?
-7
Which is the fourth smallest value? (a) 0.3 (b) 1841 (c) -1/14 (d) -372
b
Which is the smallest value? (a) 0.1 (b) 19 (c) -27 (d) 0.03 (e) -1/2 (f) 4 (g) -5
c
What is the third smallest value in -7/1290, -1/5, -2/9, 5, -10?
-1/5
Which is the second biggest value? (a) -3/2 (b) -1/2 (c) -1156
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is t rounded to the nearest one million?
-11000000
Let o = -324.181 + 324. Let y = -1148.1697 + 1148. Let m = o - y. Round m to 2 dps.
-0.01
Let h = 81.8026 - 81.49. What is h rounded to 1 decimal place?
0.3
Let c = 90.5 - -20.5. Let n = 79.5 - c. Let t = 35 + n. What is t rounded to the nearest 10?
0
Let m = 478.82 - -115. Let z = m + -1328.49. Let u = z - -742. Round u to the nearest integer.
7
Let y be 85/40 + (-5)/40. Suppose y*x + 17700000 = -x. What is x rounded to the nearest 1000000?
-6000000
Let u = -33165 + 33164.978513. Round u to 2 decimal places.
-0.02
Let q = 42.1 + -22. Let w = q + -20.0748. Round w to 3 dps.
0.025
Let a = 302.4 - 276. Let l = a + -26.405. What is l rounded to 1 dp?
0
Let f = 0.050724 - 49615.050724. Let n = 49636.053 + f. Let z = -21 + n. What is z rounded to 2 decimal places?
0.05
Let o = 0.3965906 - 0.3941. What is o rounded to 4 decimal places?
0.0025
Let s = -8.189991221 - -8.19. Round s to 7 dps.
0.0000088
Let m = 10254.03 - 10117. What is m rounded to the nearest ten?
140
Let n(g) = 3*g + 10. Suppose -164*h + 163*h = 3. Let u be n(h). Let i(c) = 67001*c**2 + 2*c - 3. Let j be i(u). Round j to the nearest ten thousand.
70000
Let l = 31379.13281 + -31379. Round l to 2 dps.
0.13
Suppose k + 33889 = 181489. Round k to the nearest one thousand.
148000
Let r = 2498.22 + -2533. Let i = r - -33.377. Round i to two decimal places.
-1.4
Let i = -833 + 777.38. Round i to the nearest integer.
-56
Let a = -21586.61912 - -21586. Round a to three decimal places.
-0.619
Let b = 26 + -19. Suppose 10 = -2*p + b*p. Let c be (-8)/(-20) - (270000008/10)/p. What is c rounded to the nearest 1000000?
-14000000
Let a = 886 + -1839. Let m = -952.999197 - a. What is m rounded to four dps?
0.0008
Let z(u) = 3920*u**3 - u + 5. Let g be (-3)/9 + 61/3. Suppose 16*f + g = 20*f. Let r be z(f). What is r rounded to the nearest 100000?
500000
Suppose 355049200 = -b + 20*b + 190*b. What is b rounded to the nearest one million?
2000000
Suppose 199*r - 200*r = -3. Suppose -3*q = 4*y - 3594020, -4791990 = -4*q - y + r*y. What is q rounded to the nearest ten thousand?
1200000
Suppose 3372 = -7*f - 2018. Let h = f + -7430. What is h rounded to the nearest ten thousand?
-10000
Let p = -17121 + 17121.0026256. Round p to 5 decimal places.
0.00263
Let p = 2336.1631789 + -61085.1333579. Let l = p + 58749. Let s = l - 0.03. What is s rounded to 5 dps?
-0.00018
Let f(t) = -146297*t**3 + 10*t**2 - 25*t - 4. Let j be f(3). Let c be (-20)/25*-10 + j. Round c to the nearest one hundred thousand.
-4000000
Let p(n) = 2*n**2 + 15*n + 18. Let a be p(-10). Suppose h - 13 = -4*z - 41, -3*h + 4*z = a. Let w be (0 - 2)*1860/h. What is w rounded to the nearest ten?
160
Let y = 18866 + -15849.2. What is y rounded to the nearest one hundred?
3000
Let h be 99 + -104 + 2*4. Let i be 4 + -8 - (h - -2*111). What is i rounded to the nearest 10?
-230
Let b = 3497.231 - 3492. Let k = 5.35 - b. What is k rounded to 2 dps?
0.12
Let t(r) = r**3 - 23*r**2 + 20*r - 16. Let s be t(22). Let n be -996 + -1 + (s/10 - -1). What is n rounded to the nearest one hundred?
-1000
Let p be 17/(-3)*(1 + (-12 - -8)). Let u(r) = -8*r**2 - 44*r + 30. Let h be u(p). What is h rounded to the nearest 100?
-3000
Let f = 0.7026 - 0.7030061. Round f to 4 dps.
-0.0004
Suppose -36*v = -27*v. Suppose -5*i - 5*a - 316450000 = v, 0 = -4*i + 13*a - 10*a - 253160000. What is i rounded to the nearest 1000000?
-63000000
Suppose 2*j - 59 = 85. Let y be (-16)/j - 3111/(-27). Suppose 0 = x + 4*x + y. What is x rounded to the nearest ten?
-20
Let r = -1097.36665 + 1097. What is r rounded to two decimal places?
-0.37
Let d = -19009 - -44678. What is d rounded to the nearest 100?
25700
Let k = -64133295175786.27805006071 - -64133295175522. Let x = k - 0.72194929829. Let p = 265 + x. Round p to seven dps.
0.0000006
Let r = 16165 + -16164.9862172. Let p = 0.0137 - r. What is p rounded to 5 decimal places?
-0.00008
Let x be 1/6 - 3293/(-222). Let u(q) = -4452*q**2 - 20*q. Let p be u(x). Round p to the nearest 100000.
-1000000
Let g = 1569833.16 + -1570155.327229. Let j = -918.16769 - g. Let x = j - -596. Round x to 5 dps.
-0.00046
Let i = -59 - -63. Suppose k + i*g - 497396 + 4277408 = 0, 4*k + 3*g + 15120009 = 0. Round k to the nearest one hundred thousand.
-3800000
Suppose -2*p - 3*v = -v - 445620, -4*v = 0. Suppose 0 = -5*g + 2 + 13. Suppose g*y - 197190 - p = 0. What is y rounded to the nearest 100000?
100000
Let g = -63229.1109956 + 63229. Let p = g + 0.111. Round p to five decimal places.
0
Let f = 1869592204.5587985 - 1869595180. Let z = 2995.4412 + f. Let r = z + -20. Round r to six decimal places.
-0.000002
Let h = -440.072 + 271.1. Let u = h + -0.028. Let t = 168.99567 + u. Round t to three dps.
-0.004
Let r = -19223 - -19222.9999981066. What is r rounded to 7 dps?
-0.0000019
Let q = 8555.847 + -8693.56603. Let t = 137.7 + q. Round t to 3 decimal places.
-0.019
Let q = 2358.1999993136 - 2358.2. Round q to seven decimal places.
-0.0000007
Let n = 762 - -2337. What is n rounded to the nearest 100?
3100
Let z = -17 + 37. Let j(s) = -25 + 27*s - 53*s - 10*s**2 + 24*s - 35. Let m be j(z). Round m to the nearest 1000.
-4000
Let d = -6058850086 + 6058850161.99999846. Let h = -66.5 - 9.5. Let p = d + h. What is p rounded to seven dps?
-0.0000015
Let f be (-3)/4 - (966/(-24))/7. Let g(i) = 3*i - 13. Let d be g(f). Suppose -7 = -5*s - u - 6, -d*s = -u + 1. What is s rounded to the nearest 10?
0
Let k(i) = -32*i**2 + 31*i**2 - 17*i + 12 + 7. Let m be k(-9). Suppose 2 = -3*c - 1, -g - m = 3*c. Round g to the nearest 10.
-90
Suppose 47654 + 66386 = -14*a + 8228. Round a to the nearest 1000.
-8000
Let a = 642 + -1095. Let v = a + 452.99486. What is v rounded to 3 decimal places?
-0.005
Suppose -3*d - 2*c + 12 = c, -14 = -5*d + c. Let a be 805/(-1 + d - 3) + 0. Let t = 405 + a. What is t rounded to the nearest ten?
-400
Let z be 23 + -3 + -15 + -72195. What is z rounded to the nearest one thousand?
-72000
Let d = -18189 + 18320.27. What is d rounded to the nearest integer?
131
Let i = -152.3875 - -149.04. Round i to one dp.
-3.3
Let w(u) = 494377*u**2 + 23*u + 60. Suppose 5*y + 0*n = -4*n - 4, 0 = -n + 4. Let m be w(y). What is m rounded to the nearest 1000000?
8000000
Let p = -0.22007 - -0.2243. What is p rounded to 4 dps?
0.0042
Let z(r) = r**2 - 8*r + 11. Let u be z(12). Suppose -3*l - 3*b + u + 10 = 0, -l + 14 = 4*b. What is l rounded to the nearest ten?
30
Let k be (0 - 3)/((-4)/8). Suppose k*i - 11 + 779 = 0. Let v = i - -1528. Round v to the nearest 100.
1400
Let u = -125317663 - -125316987.999254. Let k = u - -675. Round k to 4 decimal places.
-0.0007
Let x = -145.1 - -145. Let s = -0.099552 - x. Round s to 5 decimal places.
0.00045
Let j = -526 - -526.1272. Let x = j - -0.305. What is x rounded to 1 dp?
0.4
Let q = -1484304 - -2566304. What is q rounded to the nearest one million?
1000000
Let h = 147 + -125. Let o = -41211 - -41232.9838. Let m = h - o. What is m rounded to 3 dps?
0.016
Let l = -66.047 - -66. Let t = l + -2.703. Round t to zero decimal places.
-3
Let j(b) = 0*b**2 + 1 - b**3 - 7*b**2 - b + 10*b**2. Let o be j(3). Let f be 0 - 17/(o*(-1)/(-30)). What is f rounded to the nearest 100?
300
Suppose 5*z - 20 = 5*j, 4*z + j = z - 4. Suppose z*w - w = 1. Let k be 9 - 6 - (1510004 + w). What is k rounded to the nearest one hundred thousand?
-1500000
Let h = -0.0216 + 25.1206. Round h to 1 decimal place.
25.1
Let q = -40.17 + 38.2. Let f = 1.969622 + q. What is f rounded to 5 dps?
-0.00038
Suppose 0 = -j + 2*i - 929989 - 8862011, -2*i = 0. Round j to the nearest one hundred thousand.
-9800000
Let l = -10655.4 + 11225. What is l rounded to the nearest ten?
570
Let y be (207/138)/(3/57740). What is y rounded to the nearest 1000?
29000
Let g(v) = 156*v**3 + 24*v**2 + 165*v - 3. Let o be g(-17). What is o rounded to the nearest ten thousand?
-760000
Let d = -680.8 - -524. Let k = -185 - d. What is k rounded to the nearest ten?
-30
Let l = -1.233 + 567.233. Let j = -565.9999619 + l. What is j rounded to five decimal places?
0.00004
Let v = -541.7999976854 + 541.8. What is v rounded to seven decimal places?
0.0000023
Let w = 12155.82346 - 12156. Round w to 2 dps.
-0.18
Let x = -215.0529 - -0.0529. Let h =
|
{
"pile_set_name": "DM Mathematics"
}
|
-313.5 - -311.5. Which is the nearest to k? (a) o (b) 0.4 (c) -4/7 (d) 0.25
c
Let w = -13999.1 + 13999. Which is the nearest to -1/13? (a) -2/9 (b) w (c) -0.001
b
Let k = 0.64622 + 0.05378. Which is the closest to -1/22? (a) -3 (b) k (c) -1/6
c
Let q = 0.886 + -608.886. Let y = q - -605. Which is the closest to 15? (a) y (b) -5 (c) -2
c
Let w = 0.1972 - -0.8028. Let u = -11 - -13. Let k be 2/3 + 40/(-42). Which is the closest to w? (a) u (b) k (c) -2
a
Let h be (-8)/(-5) - (-14112)/(-20). Let j = h + 718. What is the nearest to -1/2 in 4, 3, -1, j?
-1
Suppose 4*s + 40 = -4*x, -8*s + 36 = -5*x - 6*s. Which is the closest to 0? (a) x (b) -3 (c) 1 (d) 3/4
d
Let f = -0.117 + -10.883. Let u = 7.7 + -6.7. Which is the closest to -2? (a) -0.2 (b) u (c) f
a
Let l = 0.02 + 4.98. Let f(t) = 29*t + 58. Let x(q) = -2*q**2 + 18*q + 18. Let u be x(-1). Let y be f(u). Which is the nearest to 1? (a) 3 (b) l (c) y
c
Let x be (-17)/33 + (-7)/(-21). Let u = 13872 - 55493/4. Which is the closest to -3? (a) 0.1 (b) x (c) u (d) 3/5
c
Suppose 4 = -3*y - y + x, -3*y + 2 = -2*x. Let u be (-80)/(-24)*(-6)/5. What is the nearest to y in -5, -4/5, u?
-4/5
Let j be 6/((-108)/(-33)) - (-18)/(-12). Let t = -4.08 - -2.68. Which is the nearest to 0? (a) t (b) 2/7 (c) j
b
Let d = -12.5 + 12.27. Let j = 0.07 - d. Let n be 3 - 4/16*9. Which is the nearest to n? (a) -1 (b) 4/7 (c) j
b
Let g = 10.15 + -10. Let z = g - 0.15. Let t = 24.52 - 24.02. Which is the nearest to z? (a) -1/4 (b) t (c) -3
a
Let m = 3042 + -9130/3. Let y = 52 + -466/9. Which is the closest to y? (a) m (b) 15 (c) -5
a
Let j = 1063 - 1071. What is the closest to -2.9 in j, -0.2, -2?
-2
Let c(s) = -s**3 + s**2 + s + 103. Let b be c(0). Suppose -502 = 13*r - 1906. Let h = b - r. What is the nearest to h in 1/6, 3, 0.4?
1/6
Let l = 5700 + -5701. Which is the closest to 1? (a) 0.4 (b) 1/4 (c) -5.8 (d) l
a
Let m be ((-1426)/(-2139))/(1*(-4)/6). Let g = -0.3 + 0.5. Let f = 0.1 + g. What is the nearest to -1 in m, f, 3?
m
Let d = 22 + -17. Let m = d + -5. Let i = 148/159 + -14/53. Which is the nearest to i? (a) 5 (b) m (c) -4/9
b
Let h be 6 + 2 + ((-95)/9 - -3). What is the nearest to -1 in 0.08, 0, h?
0
Let w be (-2)/((-8)/12*9) - 8/12. Which is the closest to 2? (a) w (b) -1 (c) 0.1 (d) -5
c
Let o = 1 + -2. Let j = -2831 - -2830.5. Let z(t) = -6*t + 4. Let r be z(2). What is the nearest to o in j, r, 4?
j
Let d = -1226 - -1232. Which is the closest to 5? (a) 0.1 (b) d (c) -2/7
b
Let s(x) = x**2 - 37*x - 311. Let y be s(44). What is the closest to -11 in y, -13, -3/5?
-13
Let m = 0 - -0.5. Let k = -51/52 + 763/884. Suppose 0 = o - 5 + 7. What is the closest to o in m, k, 0.4?
k
Let n = -0.048 - -215.048. Let v = -219 + n. Let t = 35 - 20. What is the closest to 0.1 in 0.2, t, v?
0.2
Let z = -4355 + 4357. Let f = -0.45 - -0.05. What is the nearest to 0.1 in z, f, -9?
f
Let y = 76.5 + -109. Let d = y + 21.5. What is the nearest to -1/4 in 0.5, -0.3, d?
-0.3
Let g = -0.7798 + 0.7798. Which is the closest to g? (a) -2 (b) -0.4 (c) 0.8 (d) 0.1
d
Let u be 2280/(-1120)*-7 + (-14)/1. Suppose -k + 0*k + 3*x = 4, 14 = 5*k + 2*x. What is the nearest to -4 in 4, k, u?
u
Let y = -14/25 + 4/25. Let t be (75/(-10))/(-15)*0. Suppose t = 2*k - u, 0 = -11*u + 8*u - 12. What is the nearest to y in 4, 2/9, k?
2/9
Let j = -60.8 + -13.2. Let o = 3215 + -3288. Let n = j - o. What is the nearest to n in -3, 2, 2/5?
2/5
Let i = 30.57 - 0.57. Let s = i + -1. Let g = s + -29.09. What is the nearest to -1/3 in g, -4, -2?
g
Let q = -2 + -5. Let j = 109/228 + -87/76. Which is the nearest to j? (a) -4 (b) q (c) -2
c
Let m = 8116 + -8115.954. Which is the closest to 0.05? (a) -1/2 (b) m (c) -5 (d) 1
b
Let d be 108/252*(-7)/(-6). Let g = -3 + 2.5. What is the closest to d in 4/11, 2, g?
4/11
Suppose -5*v = -2*k + 5*k - 772, -v - 268 = -k. Let l be ((-72)/k)/((-1)/(-877)). Let f = -239 - l. What is the nearest to -0.3 in 0.1, 0.2, f?
0.1
Let b = 8.077 + -8.577. What is the closest to -4/3 in 2/7, -6, b?
b
Let u(v) = 2*v**2 - 3*v - 1. Let z be u(-5). Let g be 833/42*45/(-14). Let s = z + g. Which is the closest to 2/9? (a) s (b) 0 (c) -0.05
a
Let l(z) = z**2 - 3*z + 1. Let x be l(2). Let g = 19/6 + -11/3. Let t(u) = -u**2 + 10*u - 12. Let s be t(9). Which is the closest to g? (a) s (b) x (c) -2/11
c
Let n(f) = -9*f**2 - 5*f + 5. Let b be n(3). Let u be 0 - (-1460)/(-32)*2. Let y = b - u. What is the closest to 1 in -0.6, y, -0.5?
y
Let z be ((-4)/10)/((-3)/5). Suppose 4*n - 5*w = 35, 2 = n + 2*w - w. Suppose -11 + 6 = -n*l. Which is the nearest to 4? (a) l (b) -2/9 (c) z
a
Suppose -182 - 145 = -76*w + 53. Which is the nearest to -1/4? (a) -0.5 (b) w (c) 2/5 (d) 0.18
a
Let p be 1/2 - (-1)/2. Suppose x - p = 2*x. Let o be (-6 - (-6)/9) + (-10)/(-2). Which is the closest to x? (a) 1 (b) o (c) -0.1
b
Suppose 8*k = 1 - 105. Let i = 47 - k. Let o be (i/(-32))/((-3)/(-2)). What is the nearest to -1 in 0.2, o, -4?
o
Let o be 2/6*-1*148/14. Let p = o - -90/7. Let u = p + -26/3. What is the nearest to u in -0.2, -1/4, -6?
-0.2
Let l = -1 + 1.2. Let s(g) = -g**3 + 11*g**2 - 18*g - 5. Let v be s(9). Let p be v + 1 + 234/54. Which is the closest to -13? (a) -1 (b) l (c) p
a
Let p = -7990.1 - -7990. What is the nearest to p in -0.11, -0.4, 0.29?
-0.11
Let q = -0.44396 + 2.44396. Which is the nearest to -20? (a) 1.5 (b) 3/7 (c) q
b
Let u be (-15)/10 - -1 - (-27)/6. Suppose 9*g = u*g + 2*o + 12, -3*g = 3*o - 3. Which is the nearest to -6? (a) -1/2 (b) 3 (c) g
a
Let p = -163 - -158.7. Let n = 4.5 + p. Which is the nearest to -0.1? (a) -3/8 (b) n (c) -2/11 (d) -3
c
Let b be (5/1 + -2)/(-7). Let d = -2 - -2.1. Let t = 244.6 + -245. What is the nearest to d in t, b, 1/7?
1/7
Let m(g) = -7*g**2 - 332*g + 189. Let t be m(-48). What is the closest to 1 in 25, t, -0.5, 4?
-0.5
Let a be 2*(-90)/55 - 108/(-396). Let o = -1714/13 - -132. Let w = 2867/13 - 221. What is the closest to 1/3 in a, o, w?
o
Let u = 373.5 + -373.9. What is the closest to 0.2 in u, -0.2, 0.2, 1/2?
0.2
Let d = 7002 - 104776/15. Let x = d + -49/3. Let u = 1.5 + -2. Which is the closest to -7? (a) u (b) -5 (c) x
b
Let n = -0.1866 - 1.1734. What is the closest to -0.1 in 1/3, 3, n?
1/3
Let i = 136 + -678/5. Let w = 0.083 - -0.017. Let t = -24.9 + 24.4. What is the closest to i in t, -2, w?
w
Suppose -11 = -x - 4*w, -4*x + 47 - 16 = 3*w. What is the closest to 12 in 4, 2/3, x?
x
Let h = 1 + 195.5. Let k = -197 + h. Which is the closest to -1/5? (a) -2/7 (b) 2/3 (c) k
a
Let z = -4476 - -4468. Which is the closest to -1/2? (a) 3/2 (b) z (c) -1/2
c
Suppose 6*a - 2*o - 30 = 3*a, -3*a - 4*o = -12. Suppose 0*g + g + 8 = 3*b, -4*g + 4*b - a = 0. What is the closest to -1.2 in g, -0.3, 0.07?
-0.3
Let x be 28/294 + (-2606)/21*1. Let u be (x/(-31))/((-9)/(2/2)). What is the closest to 18 in -5, -2/7, u?
-2/7
Let a = -487/9 + 481/9. What is the nearest to -6 in 5, a, 1/10, 3/2?
a
Suppose 5*j = 5*w - 3590, -j + 4*w - 650 = 68. Let o = -1439/2 - j. What is the closest to o in 12, -4, 0.1?
0.1
Let w = 1.1 + -2.1. Let t = -6782 - -6781.6. Let j = 6 - 4. Which is the nearest to j? (a) t (b) 3/5 (c) w
b
Let a = -66.67 + 67.07. What is the closest to -2/3 in 0, a, -9, -1/7?
-1/7
Let h be (-11 - (-6 + -1)) + ((-2838)/(-63))/11. Let j be -2*(-9)/8 + -2. Which is the nearest to j? (a) h (b) 4 (c) 0
a
Suppose 2*i - 62 = y, -3*y - 90 = -2*i + 92. Let t = -299/5 - y. Let s = 72/205 + 2/41. Which is the nearest to s? (a) t (b) -3 (c) 0.4
c
Suppose -12 = 39*y - 42*y - 4*s, -3*y - 3*s = -9. Which is the nearest to y? (a) -6 (b) 3/7 (c) -4
b
Let l = 20.9 - -1.1. Let w = 21.7 - l. What is the nearest to 4/3 in 2/7, w, 5?
2/7
Let g = 121 + -120.115. Let x = g + 0.085. Let o = -1.17 + x. What is the closest to 0.1 in o, 8, 1/3?
1/3
Let o be (2 - 1) + -3 + 0. Let r = 4.47 + -853.47. Let m = -845 - r. Which is the closest to m? (a) 0 (b) o (c) 0.1
c
Let k = 1.00405 - 0.00405. Which is the closest to k? (a) -2/11 (b) -1.3 (c) -2
a
Let u = -0.18 + -0.12. Let v = -443 - -14615/33. Which is the closest to u? (a) v (b) 5 (c) 1/3
a
Let o = 9351/14 + -668. Let p = 321/7 + -46. What is the closest to 2/3 in 1/2, o, p?
|
{
"pile_set_name": "DM Mathematics"
}
|
3. Let c(q) = 7*r(q) + 2*u(q). Let a be c(-6). Suppose a*w = -w + 350. Does 10 divide w?
True
Let p(t) = 207*t - 89. Is p(7) a multiple of 68?
True
Suppose -22 = 2*k - 2*t, 4*k + 26 = -t - t. Let v(j) = -13*j - 29. Is v(k) a multiple of 15?
True
Suppose 0 = -4*g + g + 3*x + 615, -3*x - 209 = -g. Is 15 a factor of g?
False
Let m(r) = 187*r + 1. Let y be m(1). Let t be y/20 + (-2)/5. Suppose -4*c + t*c - 120 = 0. Is 12 a factor of c?
True
Suppose 3*i = 310 + 398. Is i a multiple of 22?
False
Let n = 4169 + 593. Is 15 a factor of n?
False
Let s = 143 + -119. Is 5 a factor of s?
False
Let d be 4 + (-5)/(20/(-4)). Suppose 2*w - 3*y - 151 = 0, -3*w + 314 - 88 = -d*y. Is w a multiple of 18?
False
Let y(o) = o**3 + 5*o**2 + 6*o + 10. Suppose -7*g = -4*g + 12. Is y(g) a multiple of 2?
True
Let x = 115 + -205. Let z = x - -150. Is z a multiple of 15?
True
Let v be -3*2/(-6) - 11. Let d = v + 5. Is (5 - d)*2/4 even?
False
Let r(h) be the second derivative of 0 + 2*h**2 - 2/3*h**3 + 10*h + 1/12*h**4. Does 7 divide r(-5)?
True
Suppose -u + 11*u = -10. Does 42 divide (20 - u)/((-14)/(-42))*2?
True
Let n(w) = w**3 - 12*w**2 - 23*w + 22. Let h be n(15). Suppose -2*z - h = -4*c, c + 3*z = -0*z + 88. Is c a multiple of 21?
False
Suppose 0*w + 19*w - 4123 = 0. Is 4 a factor of w?
False
Suppose 5*f + 2*u - 363 = 0, 3*f = 4*u - 10 + 233. Suppose f = w + 30. Is w a multiple of 4?
False
Let n be (5 + (-4 - -2))*14/6. Suppose 50*z - 49*z = n. Is 2 a factor of z?
False
Suppose -4*y - 8 = 2*a, 0*y + 3*y + 15 = 3*a. Suppose 142 = a*v + 2. Does 12 divide v?
False
Does 3 divide 4 + (1165/(-3))/(2/(-6))?
False
Let v(k) = 4*k**3 - 6*k**2 - k - 9. Let a(m) = -m**3 + 1. Let b(h) = -5*a(h) - v(h). Is b(-4) a multiple of 11?
False
Let z be (35/21)/(2/84). Let r = -50 + z. Is r a multiple of 4?
True
Let k(q) = q**3 + 6*q**2 - 7*q + 2. Let w be k(-7). Is 75/1 - (-8)/w a multiple of 10?
False
Suppose 5*f - 5*q = 1845, 3*f - 6*q = -q + 1107. Is f a multiple of 23?
False
Suppose 18*v = 3*v + 360. Does 12 divide v?
True
Let y = 73 + -68. Suppose 4*t - 2*t = y*w + 173, -t - 4*w + 80 = 0. Is t a multiple of 28?
True
Let g(o) = o**3 - 8*o**2 + 7*o + 8. Let k be g(7). Let y be (-28)/1*k/16. Is 11 a factor of (-4)/y + 306/7?
True
Let q(r) = -4*r**3 - r**2 + r + 1. Suppose -3 + 5 = -2*p. Let j be q(p). Suppose 37 = j*u - 41. Is 15 a factor of u?
False
Suppose 19*n - 7 = 31. Suppose -3*j = -n*t - 36 - 128, -4*j + 218 = -3*t. Does 21 divide j?
False
Is 6 a factor of (-18920)/(-90) + (-4)/18?
True
Suppose -b - 4*b = -95. Suppose -1 = l + 4*o + 2, 3*o = -5*l + b. Suppose -80 = -0*h - l*h. Does 7 divide h?
False
Let u(m) be the first derivative of -m**2/2 + m + 3. Let p be u(-1). Suppose -n + 60 = -0*z - p*z, 3*n = -3*z + 135. Is 25 a factor of n?
True
Suppose 4*q = 5*y - 140, -2*q + q - 77 = -3*y. Suppose -2*l - 5*p - 22 = 0, 5*l = -0*l + 3*p - y. Let x = 22 - l. Is x a multiple of 14?
True
Let w(r) be the third derivative of -r**5/60 + r**4/6 - r**3/3 - 2*r**2. Let c be w(3). Does 4 divide (-6)/(-4)*(13 - c)?
False
Let w be (7/(14/4))/1 + 1. Suppose -f - 509 = -3*t - t, 4*f - 396 = -w*t. Does 9 divide t?
False
Suppose l + 4*l - 3*c - 25 = 0, 3*l - 3*c - 21 = 0. Let a(b) = -3*b**l - 2 + 2*b**2 + b + 2*b**2. Does 16 divide a(-8)?
False
Let z = -4 - -10. Let y(b) = z*b - 3*b**3 - 7*b**2 + 4*b**3 + 14*b**2 + 0*b**3. Does 10 divide y(-5)?
True
Let t(q) = 3*q**2 + 2*q + 1. Let n be t(-2). Let s = -6 + n. Suppose -v + 0*v = -s*p - 50, 2*p = -6. Does 9 divide v?
False
Suppose 3*q = -5*j - 3 - 37, -15 = 5*q - 2*j. Let m(f) = -21*f. Is 15 a factor of m(q)?
True
Let i = 3371 + -2385. Does 29 divide i?
True
Suppose n = -5 + 8. Does 20 divide 2/(-1) + 40 - n?
False
Suppose 0 = 5*c - 3360 + 810. Does 39 divide c?
False
Let z = 1356 - 108. Is 96 a factor of z?
True
Let y = 22 - 18. Suppose 484 = y*h - j, 7 + 233 = 2*h - j. Does 32 divide h?
False
Is 49 a factor of ((-9)/(-2) + -4)/(3/2526)?
False
Let u(c) = -4*c - 4. Let l be u(2). Is l/6 + (47 - 3) a multiple of 14?
True
Suppose -8 = 4*h + 2*k, -4 + 29 = -5*h + 5*k. Suppose v + 24 = 2*v. Does 2 divide (-10)/h - 8/v?
False
Let r = 1958 - 167. Is 43 a factor of r?
False
Let f = 235 - -117. Is f a multiple of 16?
True
Suppose 122 = o - 2*t + 3*t, -2*o + 3*t + 259 = 0. Suppose -18*c + 17*c = -o. Is c a multiple of 25?
True
Let x be 162/(-12)*(-4)/(-3). Let a(z) = -z**2 - 22*z - 3. Does 19 divide a(x)?
False
Suppose 5*o - 2*o = 114. Suppose -130 = -22*z + 21*z. Suppose -5*b = -5*l - z, b + 6*l = l + o. Is b a multiple of 14?
True
Let x = 8 + -6. Suppose x*a + 45 = -a. Let k = a - -59. Is k a multiple of 14?
False
Suppose 0 = -5*p - 4*p - 2295. Let h = 366 + p. Does 30 divide h?
False
Let k(x) = x**2 - 2*x - 1. Let l be k(6). Let d = 93 - l. Let t = 102 - d. Is t a multiple of 16?
True
Suppose 0 = -3*v - 5*k + 149, -236 = -5*v + 2*k + 64. Suppose -z - 4*g = -g + v, -181 = 4*z - 5*g. Let f = -33 - z. Does 4 divide f?
True
Suppose -3*s + d = 192 - 32, -3*s - 3*d - 144 = 0. Let r(o) = 2*o**3 - 5*o**2 - 7*o - 2. Let u be r(5). Let j = u + s. Is 11 a factor of j?
False
Let n(g) = -8*g - 5. Let k = 43 - 46. Does 3 divide n(k)?
False
Suppose 0 = -4*r - 193 + 13. Does 6 divide -18*(r/10 - -4)?
False
Suppose -f + 4*f - 2220 = -3*a, 5*f - 3672 = 2*a. Is f a multiple of 32?
True
Suppose -5*p + 3*c + c = -107, 60 = 3*p - c. Suppose -4*i + 13 = -p. Does 28 divide 230/i - (-3)/(-4)?
True
Let j = 42 - 63. Let c = j + 40. Does 8 divide c?
False
Suppose -5*t = -5*k + 40, -5*k + 9*k + 4*t = 16. Suppose -k*z + 203 = -91. Is z a multiple of 16?
False
Let b = -2 + 2. Suppose b*y = 2*y - 5*p - 77, -3*y + 107 = p. Suppose c + y = 3*c. Is c a multiple of 9?
True
Let n(q) = 13*q - 2. Let r be n(6). Let y be r/28 + (-6)/(-21). Is 15 a factor of y*2/3*30?
True
Let q(c) be the third derivative of c**6/120 - 13*c**5/60 + 7*c**3/6 + 13*c**2. Let w be q(13). Suppose 8*m = w*m + 27. Is m a multiple of 12?
False
Let a(n) = 2*n + 0*n - 3*n + 0*n + 17. Let v be a(7). Is (-1005)/(-75) + (-4)/v a multiple of 10?
False
Let i(j) be the first derivative of j**3/3 + 3*j**2 - 6*j + 198. Let c(f) = -f**3 + 4*f**2 - 2*f. Let u be c(4). Is i(u) a multiple of 2?
True
Let p = -13 + 15. Suppose p*o - 136 = -d, -4*d + 5*o + 635 = d. Is d a multiple of 26?
True
Let g be 5*-6*(-256)/30. Suppose -5*b - 4*w = -g, -2*b + 27 + 61 = -2*w. Does 6 divide b?
True
Does 97 divide ((-308)/55)/(2/(-220))?
False
Suppose -5*t - y - 147 = 0, 3*t - 4*y = 52 - 154. Does 44 divide 4/t + 106197/315?
False
Suppose 0*l = -2*l + 1490. Is 18 a factor of l/25 + 1/5?
False
Let q(d) = -2*d**2 - 26*d + 11. Let n be q(-13). Does 7 divide (-3)/((n - 8) + 48/(-14))?
True
Let s be (66/(-18))/(2/42) + -2. Let t(y) = -128*y**3 - y**2 - y - 1. Let z be t(-1). Let j = z + s. Does 12 divide j?
True
Suppose -15 = 5*n + 2*l, -27 = 2*n - 4*l + 3. Let i(a) = -3*a**2 - 3*a - 1 + 2*a**2 - 4 - 4*a**2 - a**3. Does 5 divide i(n)?
True
Suppose -5 = -0*r - r. Let m(k) = -k**3 + 21*k**2 - 18*k - 37. Let t be m(20). Suppose 0 = -2*w - 2*a + 31 + t, r*w = -4*a + 90. Is 8 a factor of w?
False
Let d(x) = 9*x - 8. Let l = 15 + -19. Let p = 3 - l. Does 11 divide d(p)?
True
Suppose 5*d - 19 = 1. Is 2/d - (-334)/4 a multiple of 21?
True
Let h(s) = 13*s**2 + 33*s - 49. Does 6 divide h(9)?
False
Let f(s) = -1. Let y(o) = 2 + 7 - 36*o**2 + 4*o**2 - 5. Let v(q) = -3*f(q) - y(q). Does 31 divide v(1)?
True
Let y(w) = w - 8. Let g be y(12). Suppose 0 = 5*v + z - 1176, g*v - 204 = -3*z + 739. Is v a multiple of 47?
True
Suppose g + 27 = 4*a - 412, 0 = 5*a - 5*g - 560. Does 7 divide a?
False
Suppose -15*c = 163 - 27163. Suppose 5*s = -3*s + c. Is s a multiple of 21?
False
Let a = 104 - -346. Does 9 divide a?
True
Let y be -2 + 261 - 6/2. Suppose 0 = -5*g + 2*h + 699, -5*g + 5*h + y = -434. Is g a multiple of 35?
False
Let w(q) = 2*q - 14. Let t be w(8). Suppose -3*p + 4*n + 95 = 0, -4*n = -t*p - 39 + 97. Is p a multiple of 8?
False
Let u = -76 + 73. Let c = 28 - u. Is 2 a factor of c?
False
Let v be 0 + ((-45)/(-15) - -1*181). Suppose -3*q - 22 = -v. Does 14 divide q?
False
Let o = -7 + 165. Suppose 2*q + 120 + o = 4*y, 5*y - 385 = -5*q. Is 6 a factor of y?
True
Suppose -5*o = -7*o + 48. Let m = o - -53. Suppose 5*x = m + 53. Is 6 a factor of x?
False
Suppose -36*w - 139
|
{
"pile_set_name": "DM Mathematics"
}
|
98, 10, -3, 0, -16.
-498, -16, -3, 0, 10
Sort 27, -5, 3, -4/7, -1/4, 2 in ascending order.
-5, -4/7, -1/4, 2, 3, 27
Sort 3, 168, 0, -5 in descending order.
168, 3, 0, -5
Sort -5, -83, -1, 5, 4, -50 in decreasing order.
5, 4, -1, -5, -50, -83
Sort -1021, 2, 1, -80 in decreasing order.
2, 1, -80, -1021
Put -2, 124, 4, -1, 5, -8 in decreasing order.
124, 5, 4, -1, -2, -8
Sort 339, 197, -4, 4 in descending order.
339, 197, 4, -4
Sort 3, -29, 33282 in decreasing order.
33282, 3, -29
Sort -3/7, -4, 0.5, 12236 in descending order.
12236, 0.5, -3/7, -4
Sort 4, 5, -85, -0.4.
-85, -0.4, 4, 5
Sort 0, -113, 1, 2, 755 in descending order.
755, 2, 1, 0, -113
Put -2, -50001, 5, -1 in increasing order.
-50001, -2, -1, 5
Sort -25/9, 4/5, -3, 0.4, 2/9, 0.2 in decreasing order.
4/5, 0.4, 2/9, 0.2, -25/9, -3
Sort -4, 12, 4, -707, -3 in decreasing order.
12, 4, -3, -4, -707
Put 1, 0, 5, -4, -424, 4 in decreasing order.
5, 4, 1, 0, -4, -424
Sort 0, -9, -11, -1 in ascending order.
-11, -9, -1, 0
Sort 1, -119, 12, -2, -1 in ascending order.
-119, -2, -1, 1, 12
Put 10, 69, -14, 0 in ascending order.
-14, 0, 10, 69
Sort 5, -226, -15, 4 in descending order.
5, 4, -15, -226
Put 9, -0.14, 0.2, -0.4, -2 in descending order.
9, 0.2, -0.14, -0.4, -2
Sort 0.44, 0.09, 3/484, -4 in descending order.
0.44, 0.09, 3/484, -4
Sort 1/3, -15.1, -1, 0.2.
-15.1, -1, 0.2, 1/3
Put -2/163, 124, 4 in decreasing order.
124, 4, -2/163
Sort -4, 4, 12, -6, 830 in increasing order.
-6, -4, 4, 12, 830
Sort 0.013, -2/11, 0, -1/774.
-2/11, -1/774, 0, 0.013
Sort -1/7, -4, 4, 4457, -2 in increasing order.
-4, -2, -1/7, 4, 4457
Put -4, 4, 5, 3, -863 in descending order.
5, 4, 3, -4, -863
Sort 2/3, -2/11, 0.005, 5/9, 1/8 in descending order.
2/3, 5/9, 1/8, 0.005, -2/11
Sort -0.4, 0, -2282, 1/3, -14 in increasing order.
-2282, -14, -0.4, 0, 1/3
Sort 3, -12, 0, -4958 in ascending order.
-4958, -12, 0, 3
Put -0.01, -2, -2/7, -1/4 in decreasing order.
-0.01, -1/4, -2/7, -2
Put 1.4277, -3/4, -0.1, -1, -4/5 in decreasing order.
1.4277, -0.1, -3/4, -4/5, -1
Sort -2/7, 2, 59, 1, 0.04, 7 in decreasing order.
59, 7, 2, 1, 0.04, -2/7
Sort -0.04, 2/721, -0.5, 4 in decreasing order.
4, 2/721, -0.04, -0.5
Sort -2, -22, -2282.
-2282, -22, -2
Sort 2, -0.1, -0.5, 8, -4, -4/7.
-4, -4/7, -0.5, -0.1, 2, 8
Put -9, -3, -1, -186 in increasing order.
-186, -9, -3, -1
Sort -6904, 4, 2, -3.
-6904, -3, 2, 4
Sort -19/2, 4/3, 5, -0.12, 1/23 in decreasing order.
5, 4/3, 1/23, -0.12, -19/2
Put -5, -18/25, -6, 1/2, -0.4, 2 in decreasing order.
2, 1/2, -0.4, -18/25, -5, -6
Sort -0.7, 0, -116, -5, -0.1, 4/3 in descending order.
4/3, 0, -0.1, -0.7, -5, -116
Put 0.1, -3882, -0.3, 2 in descending order.
2, 0.1, -0.3, -3882
Put -66, -16.6, 3.9 in descending order.
3.9, -16.6, -66
Put -1/5, -3, -1.86, -126.4 in decreasing order.
-1/5, -1.86, -3, -126.4
Sort 46, -2/5, 0.29968 in increasing order.
-2/5, 0.29968, 46
Sort -380, 49, -1, -2, 0 in descending order.
49, 0, -1, -2, -380
Sort 37162, -4, 2.
-4, 2, 37162
Sort 3, 594, 60 in decreasing order.
594, 60, 3
Sort 9, -50, 5, 1.
-50, 1, 5, 9
Sort 16, -8, -352, -2, -3, -4 in descending order.
16, -2, -3, -4, -8, -352
Sort -11, 35, 4.47.
-11, 4.47, 35
Put -2, -13, -154, 28 in increasing order.
-154, -13, -2, 28
Sort 1/2, 0, 14, -0.1, 34 in ascending order.
-0.1, 0, 1/2, 14, 34
Sort -1354, -14, -4 in ascending order.
-1354, -14, -4
Put -2, 3, -3, 0, -44 in descending order.
3, 0, -2, -3, -44
Put 128, 9, -4 in descending order.
128, 9, -4
Put 1, -3, -13, -1, 139 in ascending order.
-13, -3, -1, 1, 139
Sort -3/8, -4, -7045, -2/5.
-7045, -4, -2/5, -3/8
Sort -140, 5, 63 in decreasing order.
63, 5, -140
Put 4, -1, 3, -39, -2, -6 in ascending order.
-39, -6, -2, -1, 3, 4
Put 0, 2/11, -5, 30/79, -0.12 in decreasing order.
30/79, 2/11, 0, -0.12, -5
Sort 15, 531, -3 in ascending order.
-3, 15, 531
Sort -44/5, 0.9, 1, 0.12 in increasing order.
-44/5, 0.12, 0.9, 1
Sort 2, -3, -7, 1, 4, -2 in descending order.
4, 2, 1, -2, -3, -7
Put -2, 296, 714 in descending order.
714, 296, -2
Put -23, -2, 676 in increasing order.
-23, -2, 676
Put -89, 5, 135 in descending order.
135, 5, -89
Sort -3, -5, 322, 0.5, 2 in decreasing order.
322, 2, 0.5, -3, -5
Put 1, -7, 15, 71 in descending order.
71, 15, 1, -7
Put -175, -59, 3 in ascending order.
-175, -59, 3
Sort 9, -531, -5, 1/6.
-531, -5, 1/6, 9
Sort -3/71, 3/11, -0.3 in descending order.
3/11, -3/71, -0.3
Sort 2/21463, -472, -0.2 in decreasing order.
2/21463, -0.2, -472
Put 3, 5663, 27 in descending order.
5663, 27, 3
Sort -5, -1/4, -0.2, -0.042, 2/11 in ascending order.
-5, -1/4, -0.2, -0.042, 2/11
Sort -4.22, 7/4, -2.
-4.22, -2, 7/4
Sort 1, -53958, 11/3 in ascending order.
-53958, 1, 11/3
Put 1, -35, 2, -82, 0, 5 in descending order.
5, 2, 1, 0, -35, -82
Sort -3, -1, 3, -66, -22 in decreasing order.
3, -1, -3, -22, -66
Put -1380, 2, -45 in increasing order.
-1380, -45, 2
Sort -14, 12, 31, 4, 0.05, -2 in ascending order.
-14, -2, 0.05, 4, 12, 31
Put 0.1, 1/9, 220, -0.5, -84 in descending order.
220, 1/9, 0.1, -0.5, -84
Put 0.1, -2, -17, -0.3, -2665 in decreasing order.
0.1, -0.3, -2, -17, -2665
Put 5, 2, -6, 1, 8 in descending order.
8, 5, 2, 1, -6
Sort 10, -13, -8, -1 in ascending order.
-13, -8, -1, 10
Sort -0.1, 2/5, 177, -905/3 in increasing order.
-905/3, -0.1, 2/5, 177
Put -24, 4, -213 in ascending order.
-213, -24, 4
Put -65, -2/15, 4, -124, -4/7 in decreasing order.
4, -2/15, -4/7, -65, -124
Put 4, 0, 11, 1130 in descending order.
1130, 11, 4, 0
Sort 767, -95, -4 in ascending order.
-95, -4, 767
Put 8/17, -3, -0.5, 1/4, 32 in increasing order.
-3, -0.5, 1/4, 8/17, 32
Sort 3, 274, -13, 6, 1.
-13, 1, 3, 6, 274
Sort 0.3, -2, 440, -0.12, -0.3 in decreasing order.
440, 0.3, -0.12, -0.3, -2
Put 428, 0.7, -1, -6 in descending order.
428, 0.7, -1, -6
Sort -43, -1/2, 130, 0.3 in increasing order.
-43, -1/2, 0.3, 130
Put -3, 3.722, 4, 1/4, 6/11 in decreasing order.
4, 3.722, 6/11, 1/4, -3
Sort 3/5, -0.45, -0.59, 4, 5/6 in decreasing order.
4, 5/6, 3/5, -0.45, -0.59
Sort -3, -4, -439, 1, -310 in descending order.
1, -3, -4, -310, -439
Put 0.5, 0.09064, -2 in descending order.
0.5, 0.09064, -2
Sort 1, 85, 4, 20 in descending order.
85, 20, 4, 1
Sort 4, -226, -38, -4.
-226, -38, -4, 4
Sort 225, 3, -3, -1 in increasing order.
-3, -1, 3, 225
Put -4, 0.3, -263, 4, 0.18, -5 in descending order.
4, 0.3, 0.18, -4, -5, -263
Sort 0.071, -1, 0.4, 1, -0.9 in decreasing order.
1, 0.4, 0.071, -0.9, -1
Put -5, -2/8243, 0, 3/5 in descending order.
3/5, 0, -2/8243, -5
Put -1, 32/9, 2/95, 0.2, 2 in decreasing order.
32/9, 2, 0.2, 2/95, -1
Sort 0.3, -2, -22, -228, 122 in descending order.
122, 0.3, -2, -22, -228
Sort -4, 4/19, 0.1, 1/4, 32.5.
-4, 0.1, 4/19, 1/4, 32.5
Sort -5, 0.2, 33307 in descending order.
33307, 0.2, -5
Sort -4, -412062, -3.
-412062, -4, -3
Sort -60, 0, 23.
-60, 0, 23
Sort -9, 4, -8, -1 in increasing order.
-9, -8, -1, 4
Put -2, 1, 4, 140, -11, 5 in increasing order.
-11, -2, 1, 4, 5, 140
Sort 35, 207, 3/7 in ascending order.
3/7, 35, 207
Put -3/14, 0, -5, 4, -0.5 in decreasing order.
4, 0, -3/14, -0.5, -5
Put 0.4, -3/7, -3/1036 in ascending order.
-3/7, -3/1036, 0.4
Sort -4, -466, 4, -60.
-466, -60, -4, 4
Put -195, 814, 5, -12 in decreasing order.
814, 5, -12, -195
Sort 2/5, -0.10972, 5/3 in descending order.
5/3, 2/5, -0.10972
Sort 3152, -2, 108 in descending order.
3152, 108, -2
Sort 2/33, 1, 2135, 16 in descending order.
2135, 16, 1, 2/33
Sort 1507, 4, 12.
4, 12, 1507
Sort 235, 2, 20 in ascending order.
2, 20, 235
Sort 1, -128, -0.02, -3 in ascending order.
-128, -3, -0.02, 1
Put 13, -1, 37, -2, 6 in descending order.
37, 13, 6, -1, -2
Sort 67, 5, 2, 16 in decreasing order.
67, 16, 5, 2
Sort -0.2011, -6, 0.5, -1, 5 in increasing order.
-6, -1, -0.2011, 0.5, 5
Sort -0.2, -0.3, 3952 in decreasing order.
3952, -0.2, -0.3
Put -5, 1, 10, 3255, 2, -2 in decreasing order.
3255, 10, 2, 1, -2, -5
Sort 44, -2/11, -83, 0.07.
-83, -2/11, 0.07, 44
Put 0.1378, -0.3, -41 in increasing order.
-41, -0.3, 0.1378
Sort 2, -2, -1, 3786, -4, 5 in decreasing order.
3786, 5, 2, -1, -2, -4
Put 95, 1/2, -720/7 in decreasing order.
95, 1/2, -720/7
Sort 5, -1, -44, 1, -2, -4 in decreasing order.
5, 1, -1, -2, -4, -44
Put 94, 1, 14, -7, -5, -3 in decreasing order.
94, 14, 1, -3, -5, -7
Sort 0
|
{
"pile_set_name": "DM Mathematics"
}
|
*z
Let j(b) = -2*b. Let q(g) = g**2 + 3*g. Let f(s) = s**2 - 8*s + 1. Let o be f(5). Let a(l) = 2*l**2 + 7*l. Let t(z) = o*q(z) + 6*a(z). Calculate j(t(p)).
4*p**2
Let d(q) = 2*q**2. Let v be (-4)/(-3 - (-4)/4). Let j(b) = 4*b - 4*b + v*b. Give d(j(p)).
8*p**2
Let b(a) = 13*a. Let q(l) = -4*l. Let w(r) = -10*r. Let o(d) = 17*q(d) - 6*w(d). Determine o(b(z)).
-104*z
Let d(q) = 3*q. Let m(z) = -3*z**2. Give m(d(y)).
-27*y**2
Let k = 5 - 3. Let j(y) = 2 - k - 2*y. Let v(a) = 6*a. Determine v(j(p)).
-12*p
Let k(v) = 0 + 8*v + 1 + 5. Let b(o) = -o - 1. Let q(a) = 6*b(a) + k(a). Let d(m) = 2. Let n(u) = -u + 5. Let j(p) = -5*d(p) + 2*n(p). Determine j(q(w)).
-4*w
Let x(p) = p**2 - 1. Let a(s) = 4*s**2 - 5. Let j(f) = -a(f) + 5*x(f). Let g(v) = 10*v**2. Determine j(g(u)).
100*u**4
Let r(i) be the third derivative of 0*i**3 - i**2 + 0*i + 0 - 1/60*i**5 + 0*i**4. Let l(o) = -16*o. Calculate r(l(n)).
-256*n**2
Let f(s) = 5*s**2. Let o(r) = -r**2. Let v(h) = 6*f(h) + 33*o(h). Let t(b) = 8*b. Give v(t(d)).
-192*d**2
Let f(p) = -5*p. Let i(g) = -55*g. Determine f(i(w)).
275*w
Let l(a) = -a. Let y(f) = 21 + 28 - 49 + 5*f. What is y(l(b))?
-5*b
Let h(y) = 4*y**2 - y. Let k(o) = -7*o**2. Determine h(k(z)).
196*z**4 + 7*z**2
Let q(p) = 4*p. Let l(h) = 189*h**2. What is l(q(m))?
3024*m**2
Let n(b) = -2*b + 4. Let z(a) = 3*a - 5. Let h(o) = -5*n(o) - 4*z(o). Let c(g) = -22*g**2. What is c(h(j))?
-88*j**2
Let x = 2 - 2. Let m(p) = 6*p + x*p - 3*p - 5*p. Let t(q) = -q**2 - 4*q - 4. Let l(j) = -j**2 - 5*j - 5. Let u(n) = 4*l(n) - 5*t(n). What is u(m(y))?
4*y**2
Let v(t) = -16*t**2. Let m(p) = -17*p. What is v(m(k))?
-4624*k**2
Let t(r) = 6*r + 4. Let z(u) = -2*u. Determine t(z(d)).
-12*d + 4
Suppose 0 = -2*c - 2*i + 25 - 7, -c + i - 1 = 0. Let p(w) = -4 - w + c - w. Let t(x) = 8*x**2. What is t(p(h))?
32*h**2
Let d(y) be the third derivative of y**7/840 - y**4/8 + 2*y**2. Let q(h) be the second derivative of d(h). Let t(k) = k**2. Calculate q(t(a)).
3*a**4
Let d(f) = 12*f**2. Let u(x) = 57*x. Give u(d(z)).
684*z**2
Let z(m) = -m. Let g(d) = -3*d**2 + 6. Let s(k) = 2*k**2 - 5. Let u(n) = -5*g(n) - 6*s(n). What is z(u(a))?
-3*a**2
Let u(n) = 24*n. Let b(m) = m - 35. What is u(b(q))?
24*q - 840
Let a(h) = 7*h**2. Let y(f) = 43*f - 2. Give y(a(m)).
301*m**2 - 2
Let h(z) = -z. Let d(r) be the first derivative of -8*r**2 - 57. What is h(d(t))?
16*t
Let v(q) = 17*q - 6. Let d(t) = 37*t - 13. Let j(s) = 6*d(s) - 13*v(s). Let z(o) be the second derivative of 0 - o + 1/6*o**3 + 0*o**2. Give j(z(b)).
b
Let m(g) = 2*g. Suppose d + 0 = 4. Let y be 1 + d/2 + -2. Let p(x) = -4*x**2 - 3*x - 3. Let o(v) = v**2 + v + 1. Let c(q) = y*p(q) + 3*o(q). Calculate c(m(h)).
-4*h**2
Let j(f) be the first derivative of 3*f**2/2 - 1. Let s(a) = -24*a + 2*a**2 + 24*a. What is j(s(p))?
6*p**2
Let h(v) = 575*v**2. Let u(c) = 2*c. Determine u(h(n)).
1150*n**2
Let l(p) be the first derivative of 3 + 0*p + 0*p**2 - 1/3*p**3. Let y(n) = 2*n + 0 + 0. What is y(l(s))?
-2*s**2
Let d(n) = -49*n. Let y(u) = -u**2 - 7*u. Let q(g) = g. Let b(v) = 21*q(v) + 3*y(v). Give b(d(t)).
-7203*t**2
Let r(h) = -5*h**2 + 6*h. Let z(d) = d**2 - d. Let m(j) = -r(j) - 6*z(j). Let k(f) = -2*f. Calculate k(m(w)).
2*w**2
Let j(g) = 4*g**2. Let d(i) = 3*i**2. Let r = 5 + -2. Suppose 3 = r*u + 3*y, 0 = -u + 2*u + 2*y - 4. Let z(n) = u*j(n) + 3*d(n). Let x(w) = -w. Give x(z(t)).
-t**2
Let j(l) = -l**2 + 5*l - 5*l. Let i(m) = 24*m + 24*m - 45*m. Calculate j(i(h)).
-9*h**2
Let s(f) be the third derivative of -f**4/8 - 2*f**2. Let q(l) = -3*l - 6. Let t(n) = 2*n + 5. Let u(y) = -5*q(y) - 6*t(y). Determine u(s(w)).
-9*w
Let g(p) = -17*p. Let c(v) be the third derivative of -v**5/30 + 5*v**2. What is g(c(s))?
34*s**2
Let n(x) = -x. Let b(g) = 4*g - 57. Calculate n(b(o)).
-4*o + 57
Let x(n) = -100*n**2 - 35*n - 35. Let j(p) = 17*p**2 + 6*p + 6. Let r(i) = -35*j(i) - 6*x(i). Let q(d) = 8*d**2. Calculate q(r(k)).
200*k**4
Let l(u) = -2*u**2 - 2. Let j(t) = 6*t**2 + 7. Let k(s) = -6*j(s) - 21*l(s). Let x(m) = 3*m**2 - m**2 - 4*m**2. Determine x(k(g)).
-72*g**4
Let z(t) = 40*t**2. Let q(o) = 3*o**2. Calculate z(q(i)).
360*i**4
Let z(y) = -14816*y**2. Let p(a) = -2*a. Determine z(p(j)).
-59264*j**2
Let b be (-7 + 5)/((-4)/6). Let q(x) = b*x - 2*x + x - x. Let i(a) = 2*a. What is q(i(y))?
2*y
Let c(j) be the second derivative of j**4/12 - j. Let f(l) = 2*l + l + 7*l - 7*l. Give c(f(r)).
9*r**2
Let p(x) = 393*x**2. Let b(i) = 2*i. Determine b(p(l)).
786*l**2
Let w(u) = -4*u**2 + 3. Let r(a) = 9*a**2 - 7. Let h(m) = 3*r(m) + 7*w(m). Let g(i) = -2*i**2. Give g(h(q)).
-2*q**4
Let h(d) = -6*d. Let t(l) = 1412*l**2. What is h(t(v))?
-8472*v**2
Let v(w) = -36*w. Let j(q) = -4*q**2 - 21*q. Give v(j(a)).
144*a**2 + 756*a
Let u(j) = 3*j + 2. Let c(f) = f + 1. Let b(q) = -2*c(q) + u(q). Let m(x) = -30*x**2. Determine m(b(h)).
-30*h**2
Let v(z) = -z**2 - 173. Let n(w) = -4*w**2. Calculate n(v(q)).
-4*q**4 - 1384*q**2 - 119716
Let n(a) be the first derivative of -58*a**3/3 - 31. Let t(b) = -2*b**2. What is t(n(y))?
-6728*y**4
Let c(n) = 2*n. Let r(t) = -40*t**2. Let v(q) = -200*q**2. Let l(p) = -16*r(p) + 3*v(p). Calculate l(c(a)).
160*a**2
Let j(c) = -12*c**2. Let l(z) = -4*z - 8. Let p(d) = d + 3. Let k(y) = -3*l(y) - 8*p(y). Calculate k(j(a)).
-48*a**2
Suppose 0 = -5*o + 4*l - 1 + 31, 5*o = l + 15. Let r(q) = 4*q**2 - 3*q**2 - o + 2. Let s(w) = w. Calculate r(s(k)).
k**2
Let c(w) = -w - 1. Let o be c(-3). Let x(l) = 0*l + 0*l + 0*l**o - 2*l**2. Let a(z) = -z. Give x(a(u)).
-2*u**2
Let k(i) = -9*i. Let y(n) = -13*n - 2*n + 12*n. Calculate k(y(t)).
27*t
Let m(n) be the first derivative of 0*n + 1 - 1/3*n**3 + 0*n**2. Let d(q) = -3*q**2. Calculate d(m(r)).
-3*r**4
Let f(r) = 89*r. Let g(y) = 19*y**2. Give g(f(z)).
150499*z**2
Let h(w) = 1. Let n(v) = 6*v - 4. Let u(t) = 4*h(t) + n(t). Let s(x) be the third derivative of x**4/8 - 20*x**2. Calculate u(s(d)).
18*d
Let r(o) = -26*o. Let u(x) = 85*x - 1. Give u(r(v)).
-2210*v - 1
Let l(v) be the second derivative of -2*v**3 - 42*v. Let f(s) = s**2. Give f(l(j)).
144*j**2
Suppose 0*d + 60 = 5*d. Let z(a) = -d*a**2 + 21*a**2 - 11*a**2. Let s(h) = -2*h**2. What is z(s(b))?
-8*b**4
Let k(b) = -2*b. Let r(q) be the second derivative of q**3/3 - 2*q. Calculate r(k(p)).
-4*p
Let c(n) = -n - 2. Let l(j) = 4*j. Calculate c(l(m)).
-4*m - 2
Let k(p) = 2*p. Let z(r) = 4*r**2 - 38*r. Give k(z(s)).
8*s**2 - 76*s
Let f(v) = -4*v**2. Let i(y) = -y - 1. Let o(q) = q + 1. Let d(x) = -5*i(x) - 4*o(x). Let w be d(1). Let z(c) = c**2 + 0*c**w - 2*c**2. Calculate f(z(k)).
-4*k**4
Let r(d) = 9*d**2 + 4*d - 4*d - 7*d**2. Let l(y) = 3*y. Determine r(l(a)).
18*a**2
Let y(i) = -21*i. Let m(q) = 142*q. Calculate y(m(u)).
-2982*u
Let d(v) = -158*v. Let w(o) = 11*o**2. Determine d(w(n)).
-1738*n**2
Let y(f) = -2*f**2. Let z(r) = 6. Let u(o) = o**2 - 34. Let c(j) = 6*u(j) + 34*z(j). Determine y(c(q)).
-72*q**4
Let r(l) = -37*l. Let u(w) = -7*w**2 + 35*w. Calculate r(u(y)).
259*y**2 - 1295*y
Let f(p) = -8*p - 4*p + 9*p + 0*p. Let o(v) = 16*v. What is o(f(h))?
-48*h
Let v(p) = 6*p**2 - 8*p - 8. Let x(g) = g**2 - g - 1. Let o(b) = v(b) - 8*x(b). Let a(t) = 25*t. Determine o(a(m)).
-1250*m**2
Let d(x) = -3*x**2 - 3*x. Let m(l) = l. Suppose 2*w - 3 = 3. Let z(o) = w*m(o) + d(o). Let u(p) = p**2. Give z(u(b)).
-3*b**4
Let i(j) = -j. Suppose a - 6 = c - 6*c, 0 = 3*a + c - 18. Let u be 38/a - (-2)/(-6). Let w(p) = p + u*p - 4*p. What is i(w(n))?
-3*n
Suppose -g = -3*g - k - 1, -33 = -4*g + 5*k. Let i(l) = 5*l**2 - g*l**2 - l**2. Let t(r) = -3*r. Determine t(i(z)).
-6*z**2
Let j(s) = 8*s**2 - 10*s**2 + 0*s**2. Let w(b) = -14*b. Give w(j(u)).
28*u**2
Let x(j) = j + 18. Let m(o) = -8*o**2. Calculate x(m(c)).
-8*c**2 + 18
Let p(l) be the first derivative of -1/2*l**2 + 1/12*l**4 + 2 + 0*l + 0*l**3. Let s(o) be the second derivative of p(o). Let a(d) = d. Determine s(a(g)).
2*g
Let g(z) = -16491*z. Let v(d) = -2*d**2. Determine v(g(i)).
-543906162*i**2
Let g(n) = 3*n. Let m be 3/(-2) + (-9)/2. Let v(k) = -4*k. Let q(h) = m*g(h) - 4*v(h). Let i(b) = b. Calculate q(i(l)).
-2*l
Let z(a) = -7*a**2. Let x(d) = 2*d - 114. Calculate z(x(w)).
-28*w**2 + 3192*w - 90972
Let n(t) be the second derivative of -5*t**4/12 - 2*t. Let k(a) be the first derivativ
|
{
"pile_set_name": "DM Mathematics"
}
|
of m(-3) and d.
45
Let o be 1/2*(-401038)/77. Let p = 2596 + o. What is the common denominator of (171/10)/(27/45) and p?
14
Let s = 10979/30 + -1724/5. Let q = -299 - 368. Let u = q - -2051/3. What is the common denominator of s and u?
6
Let d(m) = -m**3 - 9*m**2 - 28*m - 33. What is the smallest common multiple of d(-6) and ((-132)/10)/(1/(-5))?
594
Let k(u) = 98*u**2 + 10*u - 12. Let q be k(-7). Let i = q - 188773/40. Calculate the common denominator of i and -43/24.
120
Let z be (-105)/(-20)*(-32)/(-12). Suppose 5*l - z + 4 = 0. What is the lowest common multiple of l and 3?
6
Let l be (2/15)/(48/(-1492758)). Let k = 4148 + l. Calculate the common denominator of k and (-1269)/(-90) + -6 - 8.
20
Suppose -80 = w + 52. What is the common denominator of -27/10 and (-7 - -5)/(w/(-117))?
110
Let y = 17185/1452 - 1/484. Calculate the common denominator of 113/54 and y.
54
Suppose 5*z - 23 = -u, u - 4*z - 11 = -6*z. Let r(f) = -3*f - 9. Let b be r(-4). Suppose 2*v - b = v. What is the smallest common multiple of v and u?
3
Find the common denominator of ((-1)/15)/(12 - 13712/1272) and -121/18.
8730
Let n(k) = -10*k**3 - 2*k**2 - 12*k - 22. What is the least common multiple of 9 and n(-2)?
666
Suppose 0 = -2*f + 3 + 1. Suppose -483 = 5*o - 2*l, -4*l = 5*o + f + 457. Calculate the common denominator of -10*o/(-60) + 3 and 95/12.
12
What is the common denominator of -14*(-365)/(-585) - -9 and -95/52?
468
Let o = 13093 - 13079. Calculate the lowest common multiple of 176 + -1 + 2/2 and o.
1232
What is the common denominator of 53/14 and ((-84)/630)/((-14)/(-36))?
70
Let k(z) = -z**2 - 3*z + 2. Let a be k(2). Let l = -33461/20 + 1672. What is the common denominator of ((-77)/(-22))/(a/26) and l?
40
Let s = 2/2891137 - -519303136775/40475918. Let z = -12838 + s. Find the common denominator of ((7/(-12))/7)/((-192)/5664) and z.
168
Let d be ((-24)/(-80))/(6/4435). Let x = d - 1129/5. Calculate the common denominator of x and -45*1 + (-12)/(-24).
20
Let c = -28 - -32. Calculate the least common multiple of 12/(-8)*-2 - -2 and c.
20
Let a(v) = v**3 - 6*v**2 + 6*v + 6. Suppose -4*t = -19 - 1. Let l = 16 - 9. Calculate the smallest common multiple of l and a(t).
77
Let f(w) = 3370*w - 12. Let l be f(-6). Let q = 34576486/1709 + l. Let m = q + 213661/30762. What is the common denominator of 85/8 and m?
72
Let x be -6 - -275 - (-2)/(-2). What is the lowest common multiple of (1/(-3))/(2/(-42)) and x/32 - (-6)/(-16)?
56
Find the common denominator of 65/6 and ((-1)/(-12) - 0)/((-30)/3630).
12
Calculate the least common multiple of -2 + -96*(2 - 3/1) and 18.
846
What is the common denominator of -49/152 and (-26200)/80*(-1)/(-60)?
456
Let r = -25 - -13. Let z(m) = 2*m**2 + 14*m - 15. Let x be z(r). Calculate the common denominator of 1834/x*(-15)/12 and -55/38.
114
Suppose -10 = s + 3*z + 2, 2*s = -z - 9. Let j be 2/(1*(1 + -2)). What is the common denominator of -17/12 and j*28/176 + s?
132
Let b = 153 - 98. Calculate the lowest common multiple of 65 and b.
715
Let t(m) = m**2 - m. What is the lowest common multiple of t(2) and 20?
20
Let d be ((-8)/(6/(-3)))/(-2). Let h = -20 - -33. Let l = d + h. What is the smallest common multiple of 2 and l?
22
Let v = -6053 - -338977/56. Find the common denominator of -9/14 and v.
56
Let k = -583961/32 + 18251. Find the common denominator of k and -101/8.
32
Suppose -42*d - 11*d + 106 = 0. Let o = -1 - -9. Calculate the least common multiple of o and d.
8
Let q(i) = -i - 3. Let m be q(-11). Suppose 3*o - 19 = m. What is the lowest common multiple of 1 and o?
9
Suppose -5*t = 3*m - 57, 24 = -3*t - 2*m + 59. What is the common denominator of 1086/(-72) + (t/3)/(-18) and 87/8?
8
Let i = -1009/134330 - 131/505. What is the common denominator of i and -3/8?
1064
Suppose -6 = 8*a + 2. What is the least common multiple of (1/a)/((-4)/40) and 16?
80
Suppose 4*a + 5*m = m + 21580, 10778 = 2*a + 5*m. Let j = -64643/12 + a. Calculate the common denominator of 53/30 and j.
60
Let o be (-1)/(-4) - 106/8. What is the common denominator of (-89)/12 - -1 - 1 and ((-10)/(-7))/(((-8)/o)/2)?
84
Find the common denominator of 59/68 and ((-105)/(-850))/(45/195).
340
Let r be 24/(2 - -4) + (10 - 0). Suppose -r*s + 40 = -6*s. Calculate the least common multiple of 53 and s.
265
Let v(f) = -f**2 - 5*f + 2. Let u be v(-5). What is the common denominator of (-2)/1 - (-222)/20 and (u/10)/(-3 - (-1333)/445)?
10
Let i = 7573/380 + -410/19. Calculate the common denominator of i and -3/22.
220
Let g = 1269209/51653 - 3/7379. Let u = -4751/168 + g. Calculate the common denominator of u and -11/20.
120
Let z be (-984)/10 - (-4)/10. What is the common denominator of (-1 - 0) + z/(-6) and ((-78)/(-4))/((-737)/134)?
33
Let y(k) = k**2 + 5*k - 7. Let b be y(-6). Let v be 2 + (8 - (b - 1)). Find the common denominator of 79/4 and v/(-6) - 178/(-12).
12
Suppose 4 = 5*o - 4*d, -4*o + 2*d + 12 = o. Let s be 4*(4/(-8) + o). What is the lowest common multiple of (-4)/s - 45/(-35) and 11?
11
Let u be (-61)/(-3) - (-5)/(-15). What is the common denominator of (-4)/u - (-627)/135 and -115/6?
18
Let f be (50/125)/(((-1)/(-1))/5). Suppose 0 = f*m - 5*h - 28, -m - h - 1 = 4*h. What is the least common multiple of m and 6?
18
Suppose 28*y = 30*y + 8. Let f = y + 13. Calculate the least common multiple of 2 and f.
18
Let o(n) = 7*n**2. Let l be o(-1). Suppose -602 = 5*r - l. Let m = r - -77. Calculate the common denominator of -29/6 and m.
6
Let r = -245 + 357. Let x = r - 135/2. Let v = -10639/13104 + -1/1638. Calculate the common denominator of x and v.
16
Calculate the common denominator of (-626)/112 + (-6)/21 and (-177)/78*2/(-4).
104
Let y(t) = -t**2 - 13*t + 4. Let s be y(-13). Suppose s*q - 38 = -10. Suppose 2*c = -5 + 9. What is the least common multiple of c and q?
14
Calculate the common denominator of (-3)/(-4)*296/(-636)*-1 and (-18)/(-27) + 598/(-24).
212
Calculate the common denominator of 15/(-120)*151/(-12) and 12.
96
Let t = -8832779/180 + 49072. Let l = 126389/14 + -9033. Calculate the common denominator of t and l.
1260
Let f be (-2 - 1)*(-15)/9. Suppose 3*r + 16 = f*r. Suppose 28 = 4*h + r. What is the smallest common multiple of 4 and h?
20
Let y(x) = -16*x - 161. Let s be y(0). Let v = -157 - s. What is the smallest common multiple of 4 and v?
4
Let s = 449365/32 + -14044. Calculate the common denominator of s and -121/48.
96
Suppose 0 = 4*l - 2*l. Let f(s) = -s + 14. Suppose 2*i - 43 + 3 = 0. Calculate the lowest common multiple of f(l) and i.
140
Let w(u) = -u**2 + 12*u + 26. Let b be w(14). Calculate the smallest common multiple of 18 and 2*b - 344/(-4).
738
Let g = -1941 - -1963. Suppose 3*x - 74 + 27 = -u, 2*x = -3*u + 43. What is the smallest common multiple of x and g?
154
What is the least common multiple of 91 and (-5)/10*(-44 + -5 + -3)?
182
Let n = 4247 + -25337/6. What is the common denominator of 26/183 and n?
366
Let j = 495 + -267. Suppose 0 = -r + 7*r + j. Calculate the common denominator of 77/8 and r.
8
Suppose 3*y + 5 = -3*w + 7*y, -15 = -3*y. Suppose 2*b + 168 = 5*b. Suppose -w*u = -u - b. What is the least common multiple of u and 14?
14
Let n = 60 - 54. Suppose 15 = 3*p + 3*l, 3*p = -4*l - l + 17. Calculate the smallest common multiple of p and n.
12
Let m = -4/2043 + -13585/365697. Let j = 9501/358 + m. Calculate the common denominator of j and 33/20.
20
What is the common denominator of 83/14 and (-4)/6 - (-28 + 19) - 1?
42
Let d = -2/613 - 32335/47201. Find the common denominator of 4/63 and d.
693
Suppose -2*p + 7*p = 10. Suppose -4*i + 22 = t, 5*t = -3*i - 2 + 61. Suppose 0*o - 5*o = 2*a - t, 30 = 2*a - 5*o. What is the lowest common multiple of a and p?
10
Let o(v) = 4*v - 32. Let z = 14 + -6. What is the lowest common multiple of z and o(9)?
8
Let j be (-2 - -1) + -3 + 5. Let u(q) be the first derivative of 13*q**4/4 - 2*q**3/3 + q**2 - q - 8. What is the least common multiple of 14 and u(j)?
84
Let c = 2689/25 + -69399/650. Find the common denominator of c and 5/143.
1430
Suppose -3*w + 2*f = -5, 0 = 5*w - f + 6*f - 25. Let y be 2/2*6/2. What is the least common multiple of (6*(-4)/y)/(-2) and w?
12
Let z = 23 + -13. Calculate the least common multiple of z and (5/10)/(3/60).
10
Let o be 5 - (-2 + 2)/1. Suppose 0 =
|
{
"pile_set_name": "DM Mathematics"
}
|
129191?
1
Is -1/36296147 not equal to 1?
True
Is 194688 not equal to 195290?
True
Which is greater: -37164 or -36764?
-36764
Which is greater: 0 or 603/129622?
603/129622
Is 901/678809 less than -1?
False
Which is bigger: -22.3 or 129485?
129485
Is -56271621 equal to 5?
False
Which is smaller: 174/20027 or 0?
0
Is -54726833/3 equal to -18242279?
False
Is -2232/56977 less than or equal to 0?
True
Which is greater: -7920998 or -8.1?
-8.1
Are -18280 and -12524 non-equal?
True
Which is smaller: -2401928 or -2401926?
-2401928
Which is bigger: -7.83 or -21668?
-7.83
Is 61088864 > 61088866?
False
Is 2127350 at most as big as 2127308?
False
Which is greater: -101/161488 or 1?
1
Are 1517429 and 1517428 equal?
False
Is -12/30067511 bigger than -1?
True
Which is bigger: -57524 or -8341186/145?
-57524
Is -3777764 less than -3777765?
False
Is 1 bigger than 1/24132145?
True
Which is bigger: 5 or 29292/8303?
5
Is -1 at most 190/55149881?
True
Is -966 not equal to -13906?
True
Is -84834479 less than or equal to -84834480?
False
Which is smaller: 17126/97 or 0.0598?
0.0598
Is 1 > 4/720471939?
True
Do -0.260552 and 17 have the same value?
False
Which is smaller: -18253836/37 or -493346?
-18253836/37
Is -17936/1437 at least -11?
False
Is 383 not equal to 28481?
True
Is 24790752 bigger than 24790753?
False
Which is smaller: 1244/49 or 505?
1244/49
Which is bigger: 34896 or 290?
34896
Is 13851673 less than or equal to 13851682?
True
Do 630/3161 and -1 have the same value?
False
Is 69126478 at least as big as 69126477?
True
Which is smaller: -54975 or -6322197/115?
-6322197/115
Which is smaller: 75429997 or 75429996?
75429996
Is -111947 less than -112110?
False
Which is bigger: -1 or -20700.748?
-1
Which is greater: 2/4255595 or 1?
1
Is -4/2595725 at most -1?
False
Are 6889055/9 and 765450 equal?
False
Which is smaller: 38833 or 38905?
38833
Which is smaller: -126896444/3 or -42298816?
-42298816
Is -375381 less than or equal to -375344?
True
Is -60561 > -60466?
False
Which is smaller: -46963 or 283?
-46963
Is 13591/13393 smaller than 1?
False
Is -661923 at most -662237?
False
Is 2/135 less than -6456946?
False
Which is smaller: -73517/197 or 2/13?
-73517/197
Is 9 bigger than 274.521?
False
Is -243/1999537 bigger than 1?
False
Is 213081/53 > 4021?
False
Are -160979 and -161008 non-equal?
True
Is 45930020/3 < 15310008?
True
Which is smaller: 19388345/4 or 4847085?
4847085
Is -20259/43 at least 251?
False
Is 0 greater than 1/149606383?
False
Is 0 at most as big as 539/33832?
True
Is -3862878 != -3862881?
True
Is 0 at least 973216363?
False
Is -7.3489602 > 1/9?
False
Is -1 at most as big as 728/950527?
True
Is -1331/24264 < 1?
True
Which is smaller: -99069 or -99047?
-99069
Is -32997/415 smaller than -81?
False
Is -2/6729307 greater than or equal to 0?
False
Is 83846 less than 83740?
False
Which is greater: 97376 or 97190?
97376
Is -1800430 at least as big as -1800429?
False
Which is bigger: 1 or 11703/205388?
1
Is 527932 less than or equal to 527861?
False
Is 1162 at most as big as 45786/5?
True
Is 2 at least 83368/26109?
False
Which is greater: 680863 or 680852?
680863
Is -134128 != -134227?
True
Is 11.1965 at least as big as 8?
True
Which is greater: -28684 or -9.123?
-9.123
Is 3831 at least as big as -7157?
True
Which is bigger: 0.40727926 or -5?
0.40727926
Is -7610/53337 at least 0?
False
Which is bigger: -8684787 or -8684803?
-8684787
Which is smaller: -53623 or -44261?
-53623
Is 3 less than 73780/207?
True
Which is smaller: -4970428 or -4970429?
-4970429
Which is bigger: 17/6541 or 328?
328
Which is smaller: -5473112 or 0.3?
-5473112
Is 62594064 at most as big as 62594064?
True
Is -1607.165 > 38?
False
Is 0 > 43554186.2?
False
Which is smaller: -11103 or -2/671?
-11103
Is -24/5564927 greater than -1?
True
Which is bigger: -8995167 or -8995172?
-8995167
Which is smaller: 68/39400995 or -1?
-1
Is -1705/65581 greater than or equal to 1?
False
Is 25/1666746 equal to -8?
False
Which is smaller: 40 or 51860/1273?
40
Which is bigger: 15658312 or 15658313?
15658313
Is 3/4 at least 139854?
False
Which is greater: 54164084 or 54164090?
54164090
Are -169649540 and -169649541 equal?
False
Is -1 at least as big as -109/64266?
False
Which is smaller: 407711 or 30/47?
30/47
Is -6660778 bigger than -6660779?
True
Which is smaller: -1/2 or 4612773?
-1/2
Which is greater: 32554475 or 32554477?
32554477
Does 2.9023789 = -1?
False
Is -28015220 > -28015218?
False
Is -17889235 at most -17889235?
True
Is -8/55940045 smaller than 1?
True
Is 8/485 greater than or equal to 4729?
False
Which is bigger: -350264 or -350266?
-350264
Which is greater: 3464833 or 12?
3464833
Are 7/8957205 and 0.2 equal?
False
Is 7/418404218 at least -1?
True
Is 4767 greater than 1885?
True
Which is smaller: -2949797 or -2949794?
-2949797
Is -1 equal to -2505/55771?
False
Which is bigger: 41 or 37375/916?
41
Is -169 at least -288?
True
Is -1559482 <= -1559477?
True
Which is bigger: -357 or 0.47676?
0.47676
Which is smaller: -14442/2941 or -4?
-14442/2941
Is -1 at least 438/1496419?
False
Which is bigger: 1654 or -29279?
1654
Is 26081 at most 2112502/81?
False
Is -3032804 at least as big as -3032809?
True
Is 1 equal to 203/4903245?
False
Is -31087 > -30878?
False
Is -1/3 bigger than 23357982?
False
Is 75801/40 at least as big as 1895?
True
Are 37306/55 and 1 nonequal?
True
Is 7848894 at least 7848895?
False
Which is smaller: -0.32 or 3636547?
-0.32
Which is smaller: -25 or -75813/3110?
-25
Does 189268 = 188962?
False
Which is bigger: 1004285204 or 1004285206?
1004285206
Is -201208 at least as big as -201382?
True
Which is smaller: 191994330 or -1?
-1
Which is greater: -158157 or -158283?
-158157
Is 329842/175 at least -1?
True
Are 46316109 and 46316108 unequal?
True
Which is smaller: -846 or 2028?
-846
Is -423 > 8558?
False
Which is smaller: 0 or -126/7873909?
-126/7873909
Which is bigger: -295256 or 0.058?
0.058
Which is greater: 306/173761 or -1?
306/173761
Is -5475681 > -5475730?
True
Is 0 <= -5/22625469?
False
Is 563841/1256 greater than or equal to 448?
True
Which is bigger: -1 or 55/702838?
55/702838
Which is greater: -141292 or -621?
-621
Is 1724017 at least as big as 1724021?
False
Is -1050526 greater than or equal to -1050507?
False
Which is smaller: 4903 or 2993?
2993
Which is greater: -3602938 or -3602937?
-3602937
Which is smaller: -5 or -1451/81?
-1451/81
Which is smaller: -23928634 or -23928633?
-23928634
Is 3 > -8619729?
True
Is -132860744 bigger than -132860744?
False
Which is smaller: -8065 or -8035?
-8065
Is 28049/10 < 0.007?
False
Which is bigger: -3060.4 or -5692?
-3060.4
Is -341 greater than 169199?
False
Is -17/500490 bigger than 1?
False
Is 9600050 greater than or equal to 9600065?
False
Which is smaller: -15 or -7.25689?
-15
Which is smaller: -3541224 or -3541160?
-3541224
Which is greater: 21 or 18148/861?
18148/861
Do 211 and 89129/425 have the same value?
False
Which is greater: -740014385 or 2?
2
Does -4024997 = -4024998?
False
Is 35457 < 35601?
True
Which is bigger: 0.26 or -33696886?
0.26
Is 555 bigger than 138116/249?
True
Is -176 greater than or equal to 279898?
False
Is 14/1042929 greater than or equal to -1?
True
Is 1 less than -387471852?
False
Is -1868161 bigger than -1868188?
True
Which is smaller: -83091326 or -83091333?
-83091333
Does 50/61 = 26407?
False
Do -27193 and -27596 have different values?
True
Are -14665451 and -14665450 unequal?
True
Is 0 equal to 10/126468547?
False
Which is bigger: -11253 or -7.0212?
-7.0212
Which is bigger: 6273576.1 or 0?
6273576.1
Is 273 < 10636?
True
Is -3017331 less than -51294606/17?
True
Are 117888593 and 117888593 nonequal?
False
Do 156/10369 and 0 have the same value?
False
Is -3/10 smaller than -40047?
False
Is -12/21609583 > 0?
False
Which is smaller: 3/410841149 or 0?
0
Is -647181911/4 < -161795477?
True
Is -38909096 not equal to -38909093?
True
Which is smaller: -45729719 or -45729724?
-45729724
Which is greater: -7787 or -8376?
-7787
Is 0.41 at least as big as -5528743?
True
Is 91194 < 91296?
True
Is -1147/320796 smaller than -1?
False
Is -3681/9754 > -1?
True
Which is bigger: 336/7997 or 3/4?
3/4
Which is smaller: -8818633 or -8818624?
-8818633
Is -325927 <= -325895?
True
Is -14432536/21 greater than -687263?
False
Which is
|
{
"pile_set_name": "DM Mathematics"
}
|
Let s(d) = -553418*d**2 - 697*d. Let c(g) = 5562*g**2 + 7*g. Let n(w) = 697*c(w) + 7*s(w). Let k(a) = -2*a. Determine k(n(u)).
-5576*u**2
Let f(s) = -89*s**2. Let o(u) = -34844*u + 17418*u + 3 + 17390*u - 2. Give f(o(m)).
-115344*m**2 + 6408*m - 89
Let h(b) = 27*b. Let s(r) = -9*r - 9*r + 5*r. Let z(q) = 4*h(q) + 7*s(q). Let m(p) be the third derivative of p**5/12 + 3211*p**2 + 3*p. Determine m(z(g)).
1445*g**2
Let f(x) = -21*x. Let j be 4 - 7 - 1*-13. Let s = j + 5. Let a(c) = -21*c + 52*c - s*c - 14*c. What is f(a(q))?
-42*q
Let o(w) = -121278*w. Let n(f) = -224*f. Give o(n(a)).
27166272*a
Let t = -60 + 69. Let y(f) = -7*f + 4*f - t*f. Let k(w) = 4*w**2. Determine k(y(x)).
576*x**2
Let t(x) = -x - 828. Let w(z) = 246 - 87 - 82 - 3*z**2 - 77. What is w(t(d))?
-3*d**2 - 4968*d - 2056752
Let f(k) = 10*k**2 + 135*k + 270. Let u(v) = 3*v + 6. Let o(i) = 2*f(i) - 90*u(i). Let c(b) = -2*b**2 + 399. Determine c(o(m)).
-800*m**4 + 399
Let i(j) = 66*j - 17. Let z(d) = -62*d**2. Let c(s) = 555*s**2. Let x(g) = c(g) + 9*z(g). Determine i(x(w)).
-198*w**2 - 17
Let b(g) = -25*g**2 - 4*g. Let y be (189/(-6) + -1)*18/(-5). Let p(f) = 728*f**2 + 117*f. Let l(t) = y*b(t) + 4*p(t). Let j(d) = 13*d. Calculate l(j(m)).
-2197*m**2
Let j(w) = -574*w**2. Let d(n) = -145164*n**2. Give d(j(o)).
-47828054064*o**4
Let y(h) = 17*h - 26. Let q(j) = -4*j + 6. Let i = 185 - 179. Let w(g) = i*y(g) + 26*q(g). Let m(x) = 3*x + 4 - 4. Give m(w(d)).
-6*d
Let k(h) = -2*h**2 - 52 + 52. Let g(f) be the first derivative of f**5/20 + 7*f**2/2 + 17. Let l(b) be the second derivative of g(b). What is k(l(z))?
-18*z**4
Let l(j) be the second derivative of -j**3/3 + 27*j**2/2 + 1736*j + 4. Let d(o) = -o**2 + 3. Let s(b) = -1. Let w(g) = d(g) + 3*s(g). What is w(l(r))?
-4*r**2 + 108*r - 729
Let j(q) = 27*q**2. Suppose 3*b - 5 = -k, -2*b + 4*k + 14 = 3*b. Let x(t) = -19 - 6*t + 8 + 9 + b. Determine x(j(s)).
-162*s**2
Let s(j) be the first derivative of -6*j**3 + 57*j + 531. Let v(q) = -3*q. Calculate v(s(h)).
54*h**2 - 171
Let y(j) = 54*j. Let d(u) = -2*u**2 + 4*u. Let h be 6 + ((-4)/(-3))/(28/(-42)). Let l(m) = -4*m**2 + 9*m. Let g(k) = h*l(k) - 9*d(k). What is y(g(t))?
108*t**2
Let f(p) = -455*p - 458*p + 908*p. Let b(o) be the second derivative of o**5/30 - o**3/2 - 2*o. Let a(i) be the second derivative of b(i). Give a(f(s)).
-20*s
Let m(h) = 4*h**2 + 6*h - 6. Let o be m(1). Let p(t) = 4 - 15*t - o - 5*t. Let k(z) = -2*z**2. Give k(p(l)).
-800*l**2
Let v(i) = 6*i. Let u(a) be the third derivative of 20*a**2 - 1/3*a**3 + 2*a + 0 - 1/3*a**4. Determine u(v(m)).
-48*m - 2
Let d(w) = 21*w + 16*w + 14*w + 4 - 48*w + 36. Let x(y) = 5*y. Determine x(d(h)).
15*h + 200
Let u(h) be the first derivative of h**3 - 46. Let m(t) = -810*t**2. What is u(m(x))?
1968300*x**4
Let c(t) = -126*t + 6. Let f(r) = -48262*r + 2301. Let k(q) = -1534*c(q) + 4*f(q). Let h(l) = -6*l**2. Give h(k(u)).
-334176*u**2
Let q(g) = -1204214*g - 14*g**2 + 1204214*g. Let s(h) be the second derivative of 8*h**3/3 - 34*h. Calculate s(q(r)).
-224*r**2
Suppose 7 = 7*x - 7. Let p(w) = -5 - 3 + 0 + 3*w**x + 4 + 3. Let r(d) = 8*d**2. Determine p(r(n)).
192*n**4 - 1
Let w(a) = -4492*a + 865. Let v(b) = -10*b. Calculate w(v(k)).
44920*k + 865
Let w(n) be the second derivative of 2*n**3 - n**2/2 - n + 230. Let j(t) = -10*t. Determine w(j(a)).
-120*a - 1
Let v(t) = -t**2. Let j(x) = -4*x**2 + x - 1. Let r(p) = 5220*p**2 - 1740*p + 1740. Let w(n) = -1740*j(n) - r(n). Calculate w(v(f)).
1740*f**4
Let q be ((-6)/(-8))/((-1)/(-4))*1. Let y(a) = 5*a**2 + 67. Let z(f) = -12*f**2 + 43 + 16*f**2 + 25. Let r(i) = q*z(i) - 2*y(i). Let b(u) = u. What is b(r(w))?
2*w**2 + 70
Let a(q) = -43*q**2 - 3*q - 6. Let x(n) = 272*n**2 + 19*n + 38. Let k(i) = -38*a(i) - 6*x(i). Let b(s) = 5*s**2 + 61. Calculate k(b(d)).
50*d**4 + 1220*d**2 + 7442
Let t(b) = b. Let m(z) be the second derivative of 959*z**3/3 + 1654*z. What is m(t(c))?
1918*c
Let f(u) be the first derivative of 3*u**3 - 414. Let x(d) = -63*d**2. Determine f(x(l)).
35721*l**4
Let n(f) = 11*f**2 - 17. Let l(a) = 5*a**2 - 6*a**2 + 124 + 126 - 250. Calculate l(n(g)).
-121*g**4 + 374*g**2 - 289
Let w(v) = 131*v + 39. Let s be w(27). Let c(m) = -s + 3576 - m. Let p(r) be the first derivative of r**2/2 + 55*r - 1. Calculate p(c(b)).
-b + 55
Suppose -4*f = -4*l - 2*f + 10, 5*l - 5*f - 15 = 0. Let i(a) be the first derivative of -312 + 0*a**l + 330 + a**2. Let z(j) = j - 11. Determine z(i(g)).
2*g - 11
Let d(u) = -219*u + 2951. Let r(c) = -131*c + 1476. Let n(t) = 3*d(t) - 5*r(t). Let g(h) = h**2. Calculate n(g(f)).
-2*f**2 + 1473
Let t(j) = 47*j. Let d(p) = -76*p**2 - 1310*p + 3943*p - 1318*p - 1315*p. Calculate d(t(b)).
-167884*b**2
Let j = -88 + 105. Let y(u) = j + 2*u**2 - 17. Let i(d) = -63*d**2 - 77*d. Let n(m) = -m**2 - m. Let b(o) = 2*i(o) - 154*n(o). What is b(y(h))?
112*h**4
Let s(p) = -11*p**2. Suppose -3*t - 3*u + 274 + 152 = 0, 5*t = 4*u + 683. Let z(b) = -2*b + 139 - t. What is z(s(r))?
22*r**2
Let w(y) = -28*y**2 - 14. Suppose 23 = -3*d + 29. Let s(p) = p**2 + 1. Let a(n) = d*w(n) + 28*s(n). Let o(b) = 0*b + 3*b - 5*b. Calculate a(o(c)).
-112*c**2
Let p(q) = 3*q**2 + 0*q**2 + 40*q**2 - 7*q**2 - 37*q**2. Let o(h) = -94*h - 4. Determine o(p(j)).
94*j**2 - 4
Let q(s) = -4*s**2 + 3*s. Let f(d) = -12*d**2 + 8*d. Let c(y) = -3*f(y) + 8*q(y). Let w(l) be the third derivative of 23*l**4/24 - 799*l**2. Determine w(c(i)).
92*i**2
Let w(t) = -2*t**2. Let r(k) = -k**2 + 1. Let z(o) = -4*o**2 + 36. Let p(m) = 144*r(m) - 4*z(m). What is p(w(v))?
-512*v**4
Let r(i) be the third derivative of -i**4/12 + 158*i**2. Let o(u) = u**2 - 1746. What is r(o(j))?
-2*j**2 + 3492
Let i(l) = -1100 + 2666 - 1566 + 58*l**2. Let f(s) = -2*s - 3. Let g(t) = 10*t + 14. Let q(r) = 14*f(r) + 3*g(r). Give q(i(y)).
116*y**2
Let j(w) = 527*w**2. Let a(z) = 45*z**2 - 4*z - 12. Let o(k) = 79*k**2 - 7*k - 21. Let u(f) = 7*a(f) - 4*o(f). Determine j(u(c)).
527*c**4
Let a(b) be the first derivative of -b**2 + 134*b - 321. Let t(w) = 581*w**2 - 289*w**2 - 291*w**2. Calculate t(a(i)).
4*i**2 - 536*i + 17956
Let u(q) = -2*q**2 - 51. Let z(c) = 6606*c + 2. Give z(u(g)).
-13212*g**2 - 336904
Let g(h) = 291*h**2 + 2. Suppose 12 - 46 = 17*q. Let y(c) = -6400*c**2 - 45. Let b(o) = q*y(o) - 45*g(o). Let u(j) = 2*j**2. Give u(b(k)).
174050*k**4
Let i(q) = 52044085*q**2. Let z(l) = -5*l. Calculate z(i(a)).
-260220425*a**2
Let p(j) = -16*j. Let g(n) = -613543*n. Calculate p(g(b)).
9816688*b
Let c(g) = -58991653*g**2. Let b(v) = 8*v**2. Calculate b(c(f)).
27840120989379272*f**4
Suppose -60 = -13*i - 34. Let a(p) = -299*p**2 + 3 + 280*p**i - 4 + 1. Let z(q) = 3*q. Determine a(z(f)).
-171*f**2
Let a = 148 + -146. Let k(c) = 672 - 335 - 337 - 19*c**a. Let b(t) = -5*t. What is b(k(g))?
95*g**2
Let f(s) = -1128*s - 15. Let j(m) = -565*m - 6. Let w(g) = -2*f(g) + 5*j(g). Let u(l) = l**2. Give w(u(b)).
-569*b**2
Let i(k) be the third derivative of 1/24*k**4 + 0*k**3 + k**2 + 0 + 0*k. Let n(z) be the first derivative of -5*z**3/3 - 1511. What is n(i(d))?
-5*d**2
Let c(z) be the second derivative of 0*z**2 + 0 + 1/2*z**3 - 14*z. Let u(r) = -21*r - 10*r + 37*r. Calculate u(c(i)).
18*i
Let g(w) = w. Let i(a) = 9*a + 4. Let n(o) = 13*o + 7. Let y(m) = 6*m**3 + m**2 + m + 1. Let d be y(-1). Let h(k) = d*n(k) + 8*i(k). What is g(h(p))?
7*p - 3
Let k(l) be the second derivative of -7/6*l**3 + 0 + 151*l + 0*l**2. Let r(g) = -8*g**2 - 5*g. Let d(u) = u**2 + u. Let c(w) = 5*d(w) + r(w). What is k(c(h))?
21*h**2
Let n(h) = -91 + 1065*h + 89 - 2051*h + 1031*h. Let c(r) = 12*r - 1. Calculate n(c(a)).
540*a - 47
Let l(w) = -13*w - 116. Let o(y) = -23*y - 203. Let x(t) = -7*l(t) + 4*o(t). Let r(z) = -z. Let p(n) = 80*n + 2. Let d(i) = -p(i) - 6*r(i). What is d(x(j))?
74*j - 2
Let a = 1011 - 1005. Let y = -17 + 32. Let l(p) = -17*p**2 + y*p**2 - a*p**2. Let w(s) = -5*s**2. Calculate l(w(g)).
-200*g**4
Let o(g) = -10679 + 10679 - 2*g**2. Let k(b) = 2278*b**2. Calculate o(k(w)).
-10378568*w**4
Let b(u) = u**2 - 35*u + 252. Let x be b(7). Let m(z) = x*z - 36*z - 25*z. Let j(r) = 6*r**2. Give j(m(q)).
150*q**2
Let a(v) be the first derivative of -7*v**3/3 - 837. Let g(o) = 3*o - 58. What is a(g(q))?
-63*q**2 + 2436*q - 23548
Let y(j) = -5*j - 47. Let o(p) = -335385
|
{
"pile_set_name": "DM Mathematics"
}
|
e 3.
12011111002000
Convert 11c145 (base 14) to base 8.
2246221
Convert 30024430 (base 5) to base 13.
836b4
What is 3324555 (base 6) in base 8?
506067
261550 (base 9) to base 2
100110101110110011
Convert -11105541 (base 6) to base 8.
-1217445
Convert 194b78 (base 12) to base 11.
283687
What is 3b373 (base 15) in base 16?
2e557
-30533355 (base 6) to base 8
-3275247
What is -88688 (base 12) in base 2?
-101100000111001000
-636733 (base 9) to base 6
-12042220
-252786 (base 9) to base 11
-a4a57
Convert -11101001110100111 (base 2) to base 14.
-318b5
2c3b45 (base 13) to base 6
35240001
Convert 243322 (base 8) to base 11.
57950
29465 (base 14) to base 7
604355
48461 (base 13) to base 15
29435
What is -34133442 (base 7) in base 13?
-7cb327
3541204 (base 6) to base 9
310754
10b287 (base 12) to base 14
6da75
Convert -244594 (base 10) to base 2.
-111011101101110010
What is 23304221 (base 6) in base 10?
724117
-194a6 (base 13) to base 14
-13ca6
What is -1b395b (base 13) in base 16?
-a9594
Convert -b7c800 (base 14) to base 5.
-3043010342
What is -757a382 (base 11) in base 2?
-110010110100100011000000
Convert -21071 (base 14) to base 9.
-131257
1170be (base 15) to base 14
179c16
Convert 11c421 (base 15) to base 13.
23a709
-10100111001111010 (base 2) to base 9
-140410
Convert -526334 (base 9) to base 13.
-ac621
What is 2362641 (base 7) in base 5?
34114014
-1414186 (base 10) to base 5
-330223221
-103551 (base 10) to base 14
-29a47
Convert -931412 (base 12) to base 15.
-307a0e
Convert -130222301030 (base 4) to base 13.
-1731893
Convert 114103 (base 10) to base 8.
336667
1412a6 (base 12) to base 11
208972
Convert -5794a (base 13) to base 15.
-32512
What is 5c3dd (base 14) in base 7?
1630166
-39692 (base 16) to base 2
-111001011010010010
What is -10110110001100100100 (base 2) in base 5?
-142340101
-d685 (base 14) to base 16
-9065
Convert 10001111101110111001011 (base 2) to base 6.
244540443
1100212001011 (base 3) to base 5
141203021
Convert -111100011000010100011 (base 2) to base 5.
-1001303111
1d7c10 (base 15) to base 4
11200200000
What is -163a90 (base 15) in base 7?
-12066651
What is -95358 (base 10) in base 15?
-1d3c3
What is 101110111110010101110 (base 2) in base 13?
41b7c7
What is -12102012200 (base 3) in base 10?
-106587
-560513 (base 8) to base 2
-101110000101001011
What is -8e41da (base 15) in base 4?
-121323211300
-318d03 (base 15) to base 13
-64778a
2655a7 (base 14) to base 6
44151411
Convert -57676 (base 14) to base 7.
-1543506
-3686ab (base 12) to base 13
-250202
What is 11260660 (base 8) in base 10?
2449840
Convert 5b425 (base 13) to base 8.
507377
What is 2220112202 (base 3) in base 2?
1101111110101100
Convert 1110111010001000 (base 2) to base 16.
ee88
What is -158d3 (base 16) in base 11?
-60360
Convert 100100001001111111 (base 2) to base 12.
71853
Convert -a85480 (base 11) to base 7.
-20513626
What is -26910 (base 11) in base 4?
-21113200
What is 2764406 (base 8) in base 13?
214384
-101000100010000100110 (base 2) to base 11
-827964
What is 33003313 (base 5) in base 13?
9b2bb
Convert -a0697 (base 11) to base 14.
-3b934
What is 8b200 (base 12) in base 4?
231031200
Convert 581544 (base 9) to base 4.
1111023223
What is -101200110202 (base 3) in base 10?
-210296
2346515 (base 10) to base 4
20330320103
What is -2425054 (base 8) in base 5?
-132304111
What is 2053201 (base 8) in base 11?
3435a8
-4c097 (base 13) to base 2
-100010010110111100
Convert 340153034 (base 6) to base 2.
10111100011001101001110
What is 5433b (base 12) in base 11?
764a4
What is -757aa (base 11) in base 13?
-3b16c
What is -2a7059 (base 11) in base 12?
-1b0685
What is -1251414 (base 6) in base 13?
-25582
What is -2444a (base 12) in base 6?
-1014534
What is -212262633 (base 7) in base 3?
-212210001100100
Convert -9b2162 (base 13) to base 8.
-15755243
What is -11000100101001011 (base 2) in base 3?
-12010010000
What is -d15a (base 16) in base 13?
-1b518
What is -454130525 (base 6) in base 3?
-120122112021022
Convert -4620788 (base 9) to base 8.
-11406603
What is 2110202211012 (base 3) in base 11?
81846a
Convert -3352167 (base 12) to base 16.
-95b75f
What is -1cc29 (base 13) in base 6?
-1115500
What is 7c23a (base 14) in base 13?
a7788
Convert -31403 (base 7) to base 10.
-7745
154233105 (base 6) to base 15
44d99e
What is 2012023041 (base 5) in base 10?
4017271
What is -1055543252 (base 6) in base 14?
-17c00c8
What is -6d716 (base 14) in base 6?
-5422412
What is -15131125 (base 8) in base 16?
-34b255
What is -78ccc8 (base 15) in base 3?
-101211211201222
Convert 8265 (base 13) to base 8.
43115
Convert -7669dc (base 14) to base 3.
-21112220202001
What is -1000101100011011110101 (base 2) in base 9?
-4253366
What is -1b9c34 (base 14) in base 8?
-3610546
-271113 (base 8) to base 4
-113021023
What is 4c7415 (base 13) in base 6?
103304533
-6514 (base 11) to base 2
-10000110011110
What is 222302201 (base 4) in base 3?
22220102022
-435043 (base 7) to base 8
-224621
What is 1100010100101111011 (base 2) in base 10?
403835
What is -2232204 (base 5) in base 16?
-9aff
Convert a3671 (base 11) to base 3.
21200102021
-46a17 (base 14) to base 10
-172109
189b4 (base 14) to base 7
346414
What is 65333241 (base 7) in base 15?
755bc3
-36713 (base 12) to base 8
-217577
What is 11111011100100000110 (base 2) in base 3?
1221100110012
-13232333 (base 5) to base 7
-1064056
What is 2b87c (base 15) in base 16?
22404
What is -211430351 (base 6) in base 8?
-16143373
What is 10004103 (base 5) in base 9?
128802
What is -42102402 (base 5) in base 13?
-c207a
Convert 344654 (base 14) to base 12.
719882
Convert -1023211321 (base 4) to base 12.
-12b221
81af5 (base 16) to base 6
15215113
-372511 (base 8) to base 3
-20112000221
Convert 3202325 (base 8) to base 2.
11010000010011010101
What is 1441462 (base 7) in base 2?
101111100111111000
-864344 (base 11) to base 15
-1c4729
What is -455335 (base 9) in base 6?
-5503305
What is -56205 (base 9) in base 15?
-b0eb
What is cc7670 (base 15) in base 3?
200100002201220
212202102110 (base 3) to base 10
467598
What is 141678 (base 9) in base 6?
1504455
Convert -5022312 (base 10) to base 5.
-2241203222
197837 (base 10) to base 16
304cd
Convert 14700b (base 13) to base 16.
7a4bf
-275b4a (base 12) to base 14
-13001c
3042400 (base 5) to base 14
1419b
What is -796899 (base 11) in base 5?
-311040223
-113032230 (base 4) to base 8
-271654
Convert 6234284 (base 11) to base 10.
11001049
Convert -19a074 (base 12) to base 10.
-452824
132130332300 (base 4) to base 6
443034240
Convert 91c4b6 (base 16) to base 3.
122222100100201
What is 12135326 (base 8) in base 6?
133113422
-486997 (base 16) to base 2
-10010000110100110010111
65de2 (base 15) to base 9
543105
Convert 231336 (base 8) to base 6.
1403410
What is 253564 (base 11) in base 3?
202022122220
What is 535378 (base 9) in base 8?
1156647
What is 15252 (base 11) in base 6?
243551
2373017 (base 8) to base 11
406519
Convert -68a94 (base 11) to base 7.
-563661
-2123646 (base 8) to base 2
-10001010011110100110
Convert 29e5e1 (base 16) to base 8.
12362741
Convert -10113124 (base 7) to base 9.
-1525477
-1100220102101 (base 3) to base 8
-2612567
What is 133408 (base 9) in base 10?
81251
What is 154513532 (base 6) in base 7?
40052144
Convert 5437c (base 14) to base 4.
301233222
Convert 804985 (base 11) to base 3.
2102210021210
7b3446 (base 14) to base 10
4196422
Convert 103032 (base 6) to base 4.
2003330
Convert -1230030210 (base 5) to base 14.
-574876
Convert -c4c0 (base 16) to base 2.
-1100010011000000
What is 1c1707 (base 13) in base 14?
14963a
-115361353 (base 7) to base 16
-6e80d8
What is -11101010001000101 (base 2) in base 12?
-59459
What is 443205 (base 6) in base 5?
2141023
Convert 1616522 (base 10) to base 5.
403212042
What is -340de (base 16) in base 15?
-43294
-11025651 (base 7) to base 14
-1a96d1
What is -8b277 (base 13) in base 2?
-111101110010100011
What is 24154314 (base 7) in base 14?
3dcb44
2c482 (base 16) to base 12
88b6a
6675033 (base 8) to base 16
1b7a1b
What is -73266 (base 12) in base 6?
-3121410
What is 1534233 (base 6) in base 12?
44379
What is -33160 (base 11) in base 13?
-18b83
Convert -400304023 (base 5) to base 3.
-2221212220121
-181290 (base 11) to base 14
-73db5
-44033344 (base 5) to base 15
-76c19
-11010120000201 (base 3) to
|
{
"pile_set_name": "DM Mathematics"
}
|
Let t = 3 + 2. Let b = 27 + t. Calculate the remainder when b is divided by g.
10
Suppose -36 = -k - 3*v + 99, -5*v = 4*k - 568. Calculate the remainder when k is divided by 15.
12
Let o = 17 - 18. Let t = 20 + o. Calculate the remainder when t is divided by 7.
5
Suppose -n - 3*n + 16 = 0. Suppose -n*q + 4 = -2*q. What is the remainder when 28 is divided by q + (-13)/1*-1?
13
Let y = 89 + -28. Let h = y + 0. What is the remainder when h is divided by 16?
13
Suppose -v + 176 = v + 5*o, -4*v + 332 = 5*o. Calculate the remainder when v is divided by 42.
36
Suppose 390 = -7*f + 9*f. What is the remainder when f is divided by 33?
30
Suppose 4*f + 4*r + 2362 = -11590, 2*f = -5*r - 6976. What is the remainder when f/(-60) - (-4)/(-30) is divided by 12?
10
Suppose -4*i + 36 = -16. Calculate the remainder when 88 is divided by i.
10
Let y(l) = 3*l**2 + 3*l - 2. Suppose 0 = 4*u + 3*d - 126, u + 10 - 44 = -2*d. What is the remainder when u is divided by y(-3)?
14
Suppose 0 = -6*r + 3 + 45. Calculate the remainder when 15 is divided by r.
7
Let l = 5 + 9. Let v = -13 - -9. What is the remainder when l is divided by (-3 + v/(-2))*-5?
4
Suppose 4*m - 212 = 4*s, s + 3*s + 156 = 3*m. Suppose 2*j + 2*j = -4*w + m, w - 38 = 5*j. What is the remainder when 33 is divided by w?
15
Let t(s) be the second derivative of -s**2/2 - 2*s. Let w(f) = -f + 2. Let u(l) = -5*t(l) - 2*w(l). Calculate the remainder when 14 is divided by u(2).
4
Let y(s) be the third derivative of -s**6/120 + s**5/10 - s**4/8 + s**3/2 + s**2. Calculate the remainder when y(5) is divided by 6/(-33) + 237/33.
6
What is the remainder when 3 - (-98 + 2/(-1)) is divided by 26?
25
Let z(f) = 3*f + 3. Suppose 3*p - 7 = 2. Calculate the remainder when z(p) is divided by 2*1*(-14)/(-4).
5
What is the remainder when 142 is divided by 3/(-4)*1*(5 - 29)?
16
Suppose -5*b + 3*z + 126 = 0, 7*b - 124 = 2*b + 2*z. Let i = b - 19. Suppose 2*j - 16 = -0*j. What is the remainder when j is divided by i?
3
Let z = 0 + 18. Calculate the remainder when z is divided by 7.
4
Let l = 363 - 256. Suppose -4*g + 6*n - 3*n - 117 = 0, -4*g - l = -5*n. Let j = -23 - g. Calculate the remainder when j is divided by 4.
2
Let r(l) = l + 7. Calculate the remainder when r(4) is divided by 3.
2
Suppose -767 = -4*v - 9*v. What is the remainder when v is divided by 15?
14
Let h be 3/(-2) + (-4)/8. Calculate the remainder when (34/h - -4)*-1 is divided by 5.
3
Let z(a) = 6*a + 16. Calculate the remainder when z(4) is divided by 22.
18
Let f(a) = a**3 - 11*a**2 + a + 14. What is the remainder when f(11) is divided by 13?
12
Let j(g) = g - 4. Let b be j(6). Let o be ((-63)/2)/(-7)*b. Suppose 5*a = -15, 0*f - o = -f - 4*a. Calculate the remainder when 41 is divided by f.
20
Let j be 8*(-1 + (-9)/(-6)). Suppose -i - 33 = -j*i. What is the remainder when 21 is divided by i?
10
Let r = 50 - 42. What is the remainder when r is divided by 4?
0
Let s(v) = -v**3 + 10*v**2 - 10*v + 6. Let i be s(9). Let l = -1 - i. Calculate the remainder when 1 is divided by -2*(-1 + 1/l).
0
Let y(i) = -i + 8. Let w(o) = -o**3 - 6*o**2 - o. Let q be w(-6). Let n(f) = f**3 - 5*f**2 - 3*f - 14. Calculate the remainder when n(q) is divided by y(6).
0
Suppose -4*x + 99 = -17. Calculate the remainder when x is divided by 17.
12
Suppose -79 = -4*h - 3*v + 61, -5*v = -h + 12. Calculate the remainder when h is divided by 17.
15
Suppose -c - 131 = -132. Let t = 2 - 2. Suppose -3*d - d + 4 = t. Calculate the remainder when d is divided by c.
0
Let l(t) = t**2 - 11*t + 7. Let s be l(11). Suppose -8 = -3*h + 5*o, -4*h - 4*o = s - 39. Calculate the remainder when h is divided by 4.
2
Suppose 54 = -b + 4*b. Suppose 2*d - b = -d. Let l = -7 - -11. Calculate the remainder when d is divided by l.
2
Suppose 66 - 24 = 2*o. What is the remainder when o is divided by 6?
3
Let m(r) = -26*r + 4. Let d be m(-3). Let u = d + -59. Calculate the remainder when 43 is divided by u.
20
Let x = 120 - 81. Calculate the remainder when 114 is divided by x.
36
Let d(t) = -t**3 - 5*t**2 + 11. What is the remainder when d(-6) is divided by 13?
8
Let k = -18 + 13. Suppose -2*m + 24 = -c, -c - 66 = -0*m - 5*m. Calculate the remainder when 1/k + (-272)/(-10) is divided by m.
13
Let u = -19 + 14. Let l(w) = -w**3 - 3*w**2 - 7*w + 2. Calculate the remainder when l(u) is divided by 22.
21
Let d(v) = -v - 1. Let n be d(8). Let m be (-6)/((n/(-6))/1). What is the remainder when 18/5 - m/10 is divided by 2?
0
Calculate the remainder when (-4)/(-10) + (-253)/(-5) is divided by 13.
12
Suppose 0 = -h, 0*l = 4*l + h - 8. Let m = l - -1. What is the remainder when 3 is divided by m?
0
Suppose -22 = -o + 4*i, 5*o + i = 10*o - 148. Calculate the remainder when o is divided by (1*4)/(3/6).
6
Suppose -25*v = -22*v - 129. Calculate the remainder when v is divided by 17.
9
Suppose 0 = -3*n + o + 10, -4*n + 3*o + 1 = -14. Calculate the remainder when 10 is divided by n.
1
Suppose 3*v - 2*v = 4*c - 7, -5*c - v + 20 = 0. Suppose n + c - 12 = 0. What is the remainder when 33 is divided by n?
6
Suppose -49 = -4*v + 3. What is the remainder when v is divided by 8?
5
Let j(w) = -w**3 - 8*w**2 - 14*w - 6. Calculate the remainder when 8 is divided by j(-6).
2
Suppose -5*s + 3*c + 32 = 0, -6*c = -2*s - c + 28. Calculate the remainder when 19 is divided by s.
3
Calculate the remainder when 66 is divided by 3 + (-30)/(-8)*16/4.
12
Suppose -1 = 3*y + a - 42, -5*y - a = -71. Suppose -3*g - 2*s - s + 69 = 0, 4*s = 4*g - 132. Calculate the remainder when g is divided by y.
13
Let l(t) = t**3 + 7*t**2 + 5*t - 3. Let i be l(-6). Suppose -5*j = g - 30, 0*j + i = j. Let b = 112 - 53. What is the remainder when b is divided by g?
14
Suppose -3*v = 3*i - 21, 5*i + v - 5*v - 8 = 0. Calculate the remainder when (11/4)/((-2)/(-8)) is divided by i.
3
Let d = 15 + 102. What is the remainder when d is divided by 17?
15
Suppose -2*z + 5*z - 24 = 0. Let p(g) = g**3 - 8*g**2 + 2*g - 8. Let f be p(z). Suppose 3*v + 160 = f*v. Calculate the remainder when v is divided by 11.
10
Suppose 4*o - o - 57 = 0. Calculate the remainder when 54 is divided by o.
16
Suppose w = -3*j + 10 - 1, 2*j - 17 = 3*w. Let u = 4 + 6. Suppose u = f - j. Calculate the remainder when f is divided by 8.
6
Suppose 0 = -4*h + v + 21 - 9, 5*v - 24 = -h. Suppose -12*d = -53 - 7. Calculate the remainder when d is divided by h.
1
Suppose 0 = 4*n - 7*n + 42. Let t(j) = 2*j**2 + 5*j - 2. What is the remainder when t(-6) is divided by n?
12
What is the remainder when 1053/45 + (-8)/20 is divided by 78/9 + (-4)/6?
7
Let j(i) = 4*i**2. Let u be j(3). Calculate the remainder when 20 is divided by (-2)/10 - u/(-5).
6
Suppose 4*o = 3*c + 216, -3*o - 5*c + 108 = -o. Calculate the remainder when ((-3)/9 - -1)*o is divided by 19.
17
Let i(c) = 12*c + 4. Calculate the remainder when 63 is divided by i(1).
15
Let a(l) = -l**2 - l + 8. Let s be a(0). Let p(w) = 2*w - 6. What is the remainder when 19 is divided by p(s)?
9
Suppose 2*a + 450 = 7*a. Calculate the remainder when a is divided by 13.
12
Let v = -16 - -24. What is the remainder when 25 is divided by v?
1
Suppose -5*d + 50 = -2*c + 15, 35 = 2*d - 5*c. What is the remainder when 28 is divided by d?
3
Let g(o) = -o**3 + 7*o**2 - 2*o. Let z be g(6). Let x = -10 + z. Calculate the remainder when 41 is divided by x.
13
Let l(v) = -v**3 + 6*v**2 + v - 3. Let n = 11 + 8. Suppose 0 = -2*i - 0*m - 3*m - 11, -3*i = 5*m + n. Calculate the remainder when l(6) is divided by i.
1
Suppose -3*s + 22 = -11. Suppose -z + 32 = -3*u, 5*u + 0*u + 40 = z. What is the remainder when z is divided by s?
9
Let l(k) = 3*k - 9. Let v be l(6). Suppose -9 - v = -y. Let i = 56 - 22. What is the remainder when i is divided by y?
16
Let d(t) = 21*t**2 + 3*t - 11. Calculate the remainder when d(2) is divided by 27.
25
Suppose -12*c + 18*c - 534 = 0. Calculate the remainder when c is divided by 24.
17
Calculate the remainder when 89 is divided by (-1)/(-3) + -1 + (-276)/(-9).
29
Suppose 3*d - s - 284 = 0, 3*d - 2*s - 127 = 153. Calculate the remainder when d is divided by 14.
12
Let z(t) = t**3 - 6*t**2 - 8*t + 9. Let g = -3 - -3. Let n = g - -3. What is the remainder when n is divided by z(7)?
1
Suppose 0*a + 3*a = 15. Suppose 2*c = 3*u + u - 72, -18 = -u - c. Let r =
|
{
"pile_set_name": "DM Mathematics"
}
|
1760
What is the least common multiple of 68 and 58?
1972
What is the least common multiple of 18 and 1156?
10404
Calculate the least common multiple of 2 and 34082.
34082
Calculate the smallest common multiple of 12 and 240.
240
What is the least common multiple of 20 and 452?
2260
Calculate the lowest common multiple of 3887 and 4732.
108836
Calculate the smallest common multiple of 8 and 28.
56
What is the common denominator of -21/4 and -5/6?
12
Calculate the common denominator of -27/2542 and -89/14.
17794
What is the smallest common multiple of 48 and 138?
1104
Find the common denominator of 49/64 and 61/656.
2624
Find the common denominator of 45/8 and 103/58.
232
Calculate the least common multiple of 602 and 258.
1806
What is the common denominator of 53/279 and -9/496?
4464
Calculate the common denominator of -16/5 and -1/73637.
368185
Calculate the common denominator of 143/1026 and -139/72.
4104
What is the common denominator of -5/72 and -13/384?
1152
What is the smallest common multiple of 8 and 48?
48
Calculate the smallest common multiple of 32 and 88.
352
Find the common denominator of 49/1070 and 55/4.
2140
Calculate the common denominator of 4/23 and -25/78.
1794
What is the smallest common multiple of 36 and 72?
72
Calculate the common denominator of -3/14 and 76/69.
966
Calculate the common denominator of 47/121 and 70/3.
363
Find the common denominator of 127/24 and 97/30.
120
Calculate the least common multiple of 24 and 32.
96
Find the common denominator of 101/12 and -119/6.
12
Find the common denominator of 53/2571 and 47/72.
61704
Find the common denominator of -8/435 and 23/3.
435
Calculate the common denominator of -87/364 and -113/14.
364
What is the common denominator of 109/14 and -45/1792?
1792
What is the common denominator of -46/1521 and 43/9?
1521
Calculate the lowest common multiple of 56 and 616.
616
Calculate the lowest common multiple of 5 and 86.
430
Calculate the common denominator of -53/198 and -11/10.
990
Calculate the common denominator of 22/11015 and -16/15.
33045
Find the common denominator of 151/9348 and 77/4674.
9348
What is the lowest common multiple of 45 and 20?
180
What is the least common multiple of 96 and 60?
480
What is the least common multiple of 10 and 494?
2470
What is the common denominator of 1/9 and 85/798?
2394
What is the common denominator of 87/76 and -79/18?
684
Calculate the smallest common multiple of 2352 and 504.
7056
Calculate the common denominator of 70/3 and -25/7.
21
Calculate the lowest common multiple of 10 and 57.
570
Find the common denominator of -67/14 and -95/16.
112
Calculate the common denominator of -13/8 and 43/574.
2296
Find the common denominator of 33/1831 and 34.
1831
What is the least common multiple of 5622 and 54?
50598
What is the lowest common multiple of 4896 and 153?
4896
What is the lowest common multiple of 2838 and 2064?
22704
What is the common denominator of 67/34 and 79/24?
408
Calculate the lowest common multiple of 705 and 40.
5640
What is the lowest common multiple of 29 and 9?
261
What is the common denominator of -85/32 and -19/40?
160
What is the lowest common multiple of 84 and 378?
756
Calculate the lowest common multiple of 17 and 182.
3094
What is the smallest common multiple of 105 and 1045?
21945
What is the common denominator of 91/141110 and -109/22?
1552210
Calculate the common denominator of -77/1126 and 87/22.
12386
What is the smallest common multiple of 10 and 2376?
11880
Calculate the common denominator of 59/48 and -151/126.
1008
Find the common denominator of -8/315 and -64/15.
315
What is the least common multiple of 99 and 27?
297
What is the common denominator of -89/280 and 73/2520?
2520
What is the common denominator of 19/39 and -35/13?
39
Find the common denominator of -73/6 and 47/823.
4938
Calculate the lowest common multiple of 1700 and 3740.
18700
Find the common denominator of 85/632 and -89/18.
5688
Calculate the least common multiple of 564 and 126.
11844
Find the common denominator of 115/6 and 7/22.
66
Find the common denominator of -18/1211 and 25/3633.
3633
What is the common denominator of 11/1687 and -43/28?
6748
Calculate the smallest common multiple of 4 and 22.
44
What is the common denominator of -76/99 and -13/99?
99
Calculate the common denominator of 101/242 and 109/858.
9438
What is the common denominator of -53/45 and -1/135?
135
What is the lowest common multiple of 242 and 18?
2178
Calculate the lowest common multiple of 3 and 135.
135
Calculate the lowest common multiple of 117 and 130.
1170
Calculate the smallest common multiple of 2690 and 7.
18830
What is the common denominator of -111/7072 and 59/68?
7072
What is the common denominator of -77/11360 and -73/180?
102240
Calculate the lowest common multiple of 224 and 256.
1792
What is the common denominator of -87/4390 and -59/1317?
13170
What is the common denominator of -101/36 and 64/63?
252
Calculate the common denominator of -93/22 and -15/46.
506
What is the common denominator of -55/8 and 32/441?
3528
Calculate the common denominator of 145/36 and 113/2744.
24696
Calculate the smallest common multiple of 75 and 1710.
8550
Calculate the least common multiple of 8879 and 130.
88790
Calculate the lowest common multiple of 21 and 12.
84
Calculate the common denominator of -41/140 and 113/570.
7980
Calculate the common denominator of 22/315 and 31/3915.
27405
What is the smallest common multiple of 2 and 423?
846
Find the common denominator of -25/2682 and -119/72.
10728
Calculate the common denominator of -11/164 and 77/4.
164
What is the common denominator of 19/6501 and 91/6?
13002
Calculate the common denominator of 57/2821 and 32/217.
2821
Find the common denominator of -17/115 and -12/185.
4255
Calculate the common denominator of -73/9690 and 23/8.
38760
What is the lowest common multiple of 5 and 205?
205
What is the common denominator of 59/3624 and 3/755?
18120
Calculate the smallest common multiple of 16 and 40.
80
Find the common denominator of -23/70 and -17/1162.
5810
What is the lowest common multiple of 284 and 9?
2556
Find the common denominator of -5/59 and 35/4.
236
What is the common denominator of -105/104 and -3/208?
208
Calculate the common denominator of -25/22 and 47/4.
44
Calculate the lowest common multiple of 140 and 308.
1540
Find the common denominator of -43/87 and 40/2103.
60987
Calculate the common denominator of 52/3459 and -1/57.
65721
Calculate the smallest common multiple of 423 and 261.
12267
Calculate the lowest common multiple of 14 and 70.
70
What is the common denominator of -38/1179 and -43/78?
30654
Calculate the least common multiple of 4 and 28.
28
What is the lowest common multiple of 40 and 216?
1080
Calculate the common denominator of -29/2058 and 13/1323.
18522
Calculate the smallest common multiple of 24 and 141.
1128
Calculate the common denominator of -101/98 and -123/7546.
7546
Calculate the common denominator of 89/96 and 67/72.
288
Find the common denominator of -59/447 and 101/1192.
3576
What is the smallest common multiple of 913 and 581?
6391
Find the common denominator of -157/180 and -121/126.
1260
Calculate the common denominator of 85/32 and 21/8.
32
Find the common denominator of -63/80 and 43/11.
880
What is the common denominator of -9/1798 and -50/39?
70122
What is the least common multiple of 320 and 440?
3520
Calculate the least common multiple of 138 and 920.
2760
What is the least common multiple of 1666 and 196?
3332
What is the common denominator of -50/21 and -59/741?
5187
Find the common denominator of 1/73 and -8/9.
657
What is the lowest common multiple of 8652 and 21?
8652
Calculate the common denominator of 35/3203 and 24/7.
22421
Find the common denominator of -11/45462 and 15/16.
363696
What is the common denominator of 7/8 and 67/540?
1080
Calculate the smallest common multiple of 5200 and 40.
5200
Calculate the common denominator of -8/95 and 46/35.
665
What is the common denominator of -22/13 and -22/613?
7969
What is the smallest common multiple of 996 and 8466?
16932
What is the smallest common multiple of 27 and 45?
135
Find the common denominator of -49/958 and -99/14.
6706
Calculate the smallest common multiple of 6426 and 1008.
51408
C
|
{
"pile_set_name": "DM Mathematics"
}
|
5. Let p be s(-5). Which is the second biggest value? (a) -3/7 (b) -0.5 (c) l (d) p
d
Let z be ((-80)/(-8) + -5)*(-6)/(-765). Let n = 205 - 204.5. Which is the third biggest value? (a) z (b) n (c) 1 (d) -1
a
Suppose -3*b - 372 = -4*y - 5*b, -y = b - 92. Let t = -92 + y. What is the fourth smallest value in -1, 0.2, t, 3?
3
Let n = 35 - 33. Let j = -819 - -2458/3. What is the third smallest value in 3, n, j?
3
Let v = -45.87 + -0.13. Let j = 22843 - 22841. What is the second smallest value in j, v, 1?
1
Let h be (-42)/(-10) + (-256)/(-320). Suppose j + 5*l + 11 = 8*l, -2*l + 3 = -h*j. Which is the third smallest value? (a) j (b) 4 (c) -9
b
Let r be 20/72*(-164)/205. What is the biggest value in -51, -7, 0, r?
0
Let t = -11 - -10.86. Let o = t - -2.14. Let k = -2 - o. Which is the biggest value? (a) 0.4 (b) k (c) -5
a
Suppose -5*k - 24 + 49 = 0. Suppose -m = -9 + k. Let p = -119/171 + 9/19. Which is the second biggest value? (a) p (b) m (c) 1/3
c
Let v = 470.4 + -441.4. Which is the second smallest value? (a) -5 (b) v (c) -0.06
c
Let k be 3 + 28/(-10) + -7 - -7. What is the second smallest value in 6, k, -9, 9, -3?
-3
Let d be 8/6*2/12. Let r be ((-6)/945 - 0)*28455/(-1505). Let f = 4/301 + r. Which is the second smallest value? (a) f (b) -0.3 (c) d
a
Suppose -5*p - 3*z + 43 = 0, 39 = 3*p + 3*z + 12. Let g be (-138)/117 + p/6. Which is the smallest value? (a) -0.2 (b) 0 (c) -2 (d) g
c
Let y = -1489.7 - -1490. Which is the second smallest value? (a) y (b) 3 (c) -5 (d) 0.5 (e) 11.2
a
Let v = 17 - 13. Let m = -0.896 + 0.796. Which is the second biggest value? (a) -1.4 (b) -3 (c) v (d) m
d
Let j = -6/2537 + 5128/22833. What is the smallest value in 234, 5, j?
j
Let u be 15/6*4 - 2. Let g(j) = j - 8. Let f be g(u). Let q = 0.0695 - -4.9305. Which is the fourth smallest value? (a) f (b) -5 (c) q (d) 0.2
c
Let l = 0.1 + 0.9. Let r(f) = -2*f**3 - 4*f**2 + 4*f - 60. Let c be r(-9). Let q = c - 4163/4. What is the third smallest value in l, -0.1, q?
l
Suppose -99*x = -120*x. What is the biggest value in 3, 1405/3, x?
1405/3
Let z = 2.519 + -2.819. What is the third biggest value in -6.2, z, -0.02?
-6.2
Let o = -0.074 - 4.826. Let b = 7.9 + o. Let u = -5.59 + 1.59. What is the third biggest value in u, -2/5, b?
u
Let t = 3 - 2.95. Which is the third biggest value? (a) -0.01 (b) 2 (c) t (d) 3/5 (e) 5
d
Let d = -4.8 - -0.8. Let l = 4212 + -4198. Let s be (-2)/(-4) - 27/(-6). What is the second biggest value in l, s, d?
s
Let p be 297/1089 - (-219)/165. Let h = 11 + -15. Which is the third biggest value? (a) h (b) p (c) -0.5
a
Let d = -312.59 + 311. Let q = 47.91 - d. Let y = q - 50. Which is the smallest value? (a) y (b) -1 (c) -8
c
Let p be (28 - 8138/312) + 10/(-6). Which is the third smallest value? (a) -2 (b) 2.5 (c) 1 (d) p
c
Let y be 1/(-14)*8/(-1). Let f = -883.1 + 882.8. Which is the third smallest value? (a) 3 (b) y (c) f (d) -1
b
Let m = 1213/2 + -8495/14. What is the fourth smallest value in -5, -2/3, 0.2, -0.7, m?
m
Let t = 69 - 66. Let p = -0.297 + 1.297. Which is the third biggest value? (a) p (b) -2/5 (c) t
b
Suppose -q - 311 = -627. Let d = 314 - q. What is the smallest value in 4, d, 0.7?
d
Let h = 13803.5 - 13868. What is the biggest value in -5, h, -0.6?
-0.6
Let t = 13277 - 13276.8. Which is the second smallest value? (a) -0.109 (b) -1/6 (c) t (d) -5 (e) 1/3
b
Let t = 6570.013 - 6546. Let n = t + -0.013. Let d = -24.5 + n. What is the second smallest value in d, 5, -0.6?
d
Let g = 2.61 - 2.55. What is the fourth biggest value in g, 3, 12, -8?
-8
Let j be -99*(-56)/(-1540)*8/(-3). What is the smallest value in j, -1, 3/4?
-1
Let j = -150 - -149. Let n be (j - -2)*-1 + 9/7. Which is the third biggest value? (a) -0.2 (b) 0.4 (c) n
a
Let j(t) = -6*t**2 + 15*t + 1. Let o be j(3). Let k be 1085/840 - 3/o. Which is the second smallest value? (a) -1/6 (b) k (c) 2 (d) 2/5
d
Let d be 23 + 35848/(-1560) + (1 - (-39)/(-45)). Which is the biggest value? (a) 5 (b) d (c) -11087
a
Let k = 4200 - 4266. What is the biggest value in k, -5, 1, 0.4?
1
Let d = 36/7 - 173/35. Suppose 0 = 7*z - 309 + 64. Let r be (1/3)/((-3)/(42/z)). What is the smallest value in -1, -4, d, r?
-4
Let k = 33.717 + -28.717. Which is the fifth biggest value? (a) 2/3 (b) -48 (c) k (d) -3 (e) 132
b
Suppose -14 = -2*k - 5*i, 2*i + 4 = 11*k - 15*k. Let a be 1/25*(2 - (k - 0)). What is the second smallest value in a, -1.96, 1?
a
Let t = -1225 + 13449/11. Let y = t - 3/22. What is the fourth biggest value in -0.1, 0.5, -1, y?
y
Let z = 3467.7 + -3467.8. Which is the smallest value? (a) 0.2 (b) 4.33 (c) z (d) -5
d
Let v be 1/4 - (-189)/(-36). Let q = 0 + 0.08. Let y = 0.42 + q. What is the fourth smallest value in -4, v, y, 3?
3
Suppose 2*x + 3 + 7 = 0. Let t = -256 + 263. Suppose 18 + 129 = -t*v. What is the second biggest value in x, v, 0?
x
Let a = 61/48 - 3265/2544. Let r = 26 - 181/7. What is the third smallest value in r, a, -5?
r
Let j = 101/45 + -19/9. Let s = -0.14 + 0. Let b = 0.44 + s. What is the third smallest value in -1/4, b, -2, j?
j
Let l be -4*((-9 - -1) + (-8 - -12)). Let j be (-456)/(-352) - 12/l. Which is the second biggest value? (a) j (b) 0.3 (c) -1/3
b
Let w be (113/(-5) - -3)*(-2)/(48/60). What is the third smallest value in 0, w, 5?
w
Let r(h) = h + 3. Suppose 5*w - 47 = -62. Let g(q) = -q**2 - 2*q + 1. Let i be g(w). Let u be r(i). Which is the smallest value? (a) u (b) 2 (c) -1/5
c
Let w = -25/3 - -8. Let h be (-32)/(-8) + ((-36)/14 - (35 - 33)). Which is the third smallest value? (a) h (b) -2 (c) w (d) -25
a
Let q = -86.29 + 0.29. Let l = 85.7 + q. What is the smallest value in -5, l, -1/5?
-5
Let s = -31134/5 + 6227. Which is the biggest value? (a) s (b) -399 (c) -1.3
a
Let k be 4*4/40*(0 + 5). Suppose 5*d - 13 = -3*p - 6, 5 = -p + k*d. What is the third biggest value in -0.092, p, 0.3?
p
Let o = -4943 - -4940. What is the biggest value in 5, -4, o, 0.1?
5
Let w = -623 + 622.8. What is the third biggest value in -3, 0.4, -44, 0, w?
w
Let g be (-3)/(-6) + (-19)/30. Let w = -7689/13 - -61499/104. Which is the biggest value? (a) g (b) w (c) 2/9 (d) 1/4
d
Let s = 1.8 - 2.2. Let x = -189 - -135.5. Let g = x + 54. Which is the second biggest value? (a) s (b) -5 (c) g
a
Let j = 1163 + -633. Let x = -530 + j. What is the fourth smallest value in -2/13, -2, x, 0.13?
0.13
Suppose -855 = -236*z + 325. What is the third smallest value in -8, z, 168?
168
Let p be (1300/(-30))/5*(-18)/4. Let z be 1*(2 + -1)*p/234. Which is the third biggest value? (a) -0.1 (b) z (c) -3 (d) 0.5
a
Let p = -27 - -32. Let d = -1.1 - 2.9. Let i = -1 - d. What is the second biggest value in p, i, -3/4?
i
Let o = -95.1 + 102. Let k = 58.9 - 51. Let q = k - o. Which is the third biggest value? (a) -2/5 (b) -3 (c) q (d) 2
a
Let p = 2.88326 - -0.11674. What is the smallest value in p, 5, 6974?
p
Let r = -21528 - -21528. What is the second smallest value in r, -1/6, -1.2, -2/13, -1/4?
-1/4
Let c(m) = m**3 - 13*m**2 - 6*m + 74. Let l be c(13). What is the biggest value in 0, -1/93, l?
0
Let o = -17897.06 - -17466. Let s = o + 431. Which is the third smallest value? (a) s (b) 4 (c) 0.1
b
Let z(m) be the first derivative of m**3/3 - 2*m**2 - 10*m + 26. Let i be z(4). What is the third smallest value in -2, -0.2, i?
-0.2
Let l = -3333 + 3333.14. What is the fourth smallest value in -4, 3/5, 1/3, -1/4, l?
1/3
Let z = -1 + 0.5. Let f = -1/184 + 743/1288. What is the third biggest value in -5, z, -3, f?
-3
Let w be 3 - -1 - (0 + 28). Let p be -2 + w/(-9) + -2. Let k = -80 - -79.7. Which is the fourth smallest value? (a) 2 (b) k (c) p (d) -1/10
a
Let v = 31414 - 31414. Let p = -5 + 7. Which is the fourth biggest value? (a) -7 (b) 5 (c) v (d) p
a
Let c = -69443/7 + 9921. What is the third smallest value in 1/3, c, -0.0312?
c
Suppose 147*r = 66*r - 111*r + 192. Which is the fifth smallest value? (a) 2 (b) r (c) 0 (d) 4 (e) -3/2
d
Let f = 29056/9 + -3232. Which is the third smallest value? (a) -2/43 (b) f (c) 2/3
c
Let z = -49 - -48. Let j = 39.7 + -39.9. Which is the second smallest value? (a) z (b) 13 (c) j
c
Let w = 1.8 - 1.6. Let o = 0.147 + -0.147. Which is the third
|
{
"pile_set_name": "DM Mathematics"
}
|
3. What is l*c(d) - 2*w(d)?
2*d - 1
Let u(o) = o**2 - o + 1. Let c(v) = 9*v**2 + 9. Let f(p) = c(p) - 4*u(p). Let k(y) = y**2 + y + 1. Calculate -f(q) + 4*k(q).
-q**2 - 1
Let c(n) = 6*n**3 - 3*n**2 + 7. Let w(o) = -o**3 + o**2 - 1. Determine -c(z) - 3*w(z).
-3*z**3 - 4
Let q(o) = -o. Let x be (-6)/(-6) - (0 + 0). Let z(n) = 6*n - 1. Determine x*z(y) + 5*q(y).
y - 1
Let f(o) = 23*o - 23. Let x(y) = -1. What is f(c) - 23*x(c)?
23*c
Let m(n) = -3*n + 3. Let r(x) = 2*x - 2. Let d be (-8)/16 + 31/2. Suppose 0 = -0*b - 5*b + d. What is b*m(q) + 5*r(q)?
q - 1
Let d(x) = 17*x**2 + 5*x + 11. Let s(h) = 11*h**2 + 3*h + 7. Give -5*d(y) + 8*s(y).
3*y**2 - y + 1
Let l = -8 - -5. Let o(h) = 5*h + 2. Let w(y) = 6*y - 54 + 0*y + 121 - 64. Calculate l*w(q) + 4*o(q).
2*q - 1
Let c(i) = 4*i**2 + 5*i. Let o(p) = -21*p**2 - 26*p + 1. Let a(v) = 11*c(v) + 2*o(v). Let m(u) = u**2 + u. Determine a(s) - 3*m(s).
-s**2 + 2
Let a(m) = 10*m - 19. Let i(k) be the first derivative of 3*k**2/2 - 6*k + 7. Determine 2*a(v) - 7*i(v).
-v + 4
Let i(y) = 4*y**3 + 6*y**2 + 5*y - 3. Let j(m) = 8*m**3 + 13*m**2 + 11*m - 7. What is -9*i(x) + 4*j(x)?
-4*x**3 - 2*x**2 - x - 1
Let k(t) = -t - 6. Let q(n) = n + 7. Calculate 4*k(a) + 3*q(a).
-a - 3
Let z(m) = 7*m - 4. Let f(k) = 7*k + 5. Let r(b) = 5*b + 4. Let d(v) = -3*f(v) + 4*r(v). What is 4*d(a) + z(a)?
3*a
Let b(z) = -z - 2*z + 4*z**2 - 5 - 2*z**2 - 2*z. Let s(j) = 2*j**2 - 4*j - 4. What is 4*b(v) - 5*s(v)?
-2*v**2
Let h(i) = -20*i**3 - 4*i + 4. Let b(a) = -a**3 - a + 1. Calculate -4*b(y) + h(y).
-16*y**3
Let l(p) = 1. Let x(r) = 2*r. Determine 4*l(z) - 2*x(z).
-4*z + 4
Let x(s) = -2*s**3 + 7*s**2 + 2*s - 6. Let q(k) = -2*k**3 + 6*k**2 + 2*k - 5. Let a be 64/48*9/(-2). Give a*q(u) + 5*x(u).
2*u**3 - u**2 - 2*u
Let k(n) = 4*n**2 - n**2 + n**2 + 5 + 0*n**2. Let q(j) = -10*j**2 - 12. Determine 12*k(v) + 5*q(v).
-2*v**2
Let j(l) = -5*l**3 - 3*l**2 - 6*l + 6. Let q(f) be the second derivative of -f**5/20 - f**4/12 - f**3/6 + f**2/2 + 32*f. What is -j(o) + 6*q(o)?
-o**3 - 3*o**2
Let g(x) = x - 1. Let s(m) = 4 + 45*m + 48*m - 98*m. What is -11*g(d) - 2*s(d)?
-d + 3
Let m(v) = -7*v**3 - v**2 + v. Let t(i) = -i**3 - i**2. Determine m(g) - 6*t(g).
-g**3 + 5*g**2 + g
Let b(f) = -3*f**2 + 6*f - 1. Let j(v) = 4*v**2 - 7*v + 1. Give -6*b(m) - 5*j(m).
-2*m**2 - m + 1
Let k = -18 - -12. Let x = 10 - 15. Let d(l) = 7*l**2 + l - 7. Let m(h) = 2*h**2 + 8 - 5*h**2 - 5*h**2 - h. Determine k*d(r) + x*m(r).
-2*r**2 - r + 2
Let r(k) = -4*k. Let v(b) = -b**2 - 8*b. Calculate -5*r(t) + 2*v(t).
-2*t**2 + 4*t
Suppose -13 = 3*r + 5*q, 5*q + 4 = -r - 7. Let m(d) = -2*d + 4. Let a(u) = -u + 2. Let w(f) = 9*a(f) - 4*m(f). Let c(l) = -l + 1. Determine r*w(i) + 2*c(i).
-i
Let w(b) = b**2 - b - 1. Let f(g) = 5*g**2 - 7*g - 2. Calculate -f(h) + 4*w(h).
-h**2 + 3*h - 2
Let r(u) be the third derivative of u**5/60 + u**4/6 + u**2. Let f be r(-4). Let o(k) = f - 1 + 0. Let m(b) = -b + 3. What is -m(c) - 2*o(c)?
c - 1
Let y(l) = -1. Let t(g) = -5*g + 15. Determine -t(d) - 4*y(d).
5*d - 11
Let l(p) be the third derivative of -5*p**4/24 - p**3/6 + p**2. Let v be 4*1/2 - 1. Let m(w) = 0 - 19*w + 5*w - v - 1. Calculate -8*l(d) + 3*m(d).
-2*d + 2
Let h = -6 - -4. Let w(r) = 2*r**2 - 3. Let j(l) = -l**2 - l - 1. Let g(p) = p**3 - 6*p**2 - 6*p - 7. Let k(v) = -g(v) + 6*j(v). Calculate h*k(t) - w(t).
2*t**3 - 2*t**2 + 1
Let j be (-2)/6 + 20/(-12). Let p(k) = -1. Let i(s) = -2*s + 6. Let c(z) = 4*z - 11. Let b(l) = -3*c(l) - 5*i(l). Calculate j*p(v) - b(v).
2*v - 1
Let t(r) = -r**3 + 4*r**2 + 1. Suppose 3*i - 2*i - 4 = 0. Let k be t(i). Let z(n) = n**3. Let w(o) = 2*o**3 + 2. Calculate k*w(b) - 4*z(b).
-2*b**3 + 2
Let k be 0 - (-5 + 0/(-2)). Let i(m) = -m**3 + 6*m**2 - 2*m + 13. Let l be i(6). Let n(q) = l - q + 5*q - 6*q. Let t(g) = g. Calculate k*t(w) + 2*n(w).
w + 2
Let s(l) = 3*l**2 - 5*l - 5. Let t(c) = 2*c**2 - 4*c - 4. Suppose -3*m - 3 = j - 2, -2*m = 4*j + 14. Give j*s(a) + 5*t(a).
-2*a**2
Let c(b) = b + 1. Let m(j) = -j**2 + j + 7. What is -5*c(l) + m(l)?
-l**2 - 4*l + 2
Let p(s) = 8*s**2 - 2*s - 5. Let z(g) = 7*g**2 - 2*g - 4. What is 4*p(q) - 5*z(q)?
-3*q**2 + 2*q
Let n(d) = 9*d + 7. Let x = -1 - -1. Suppose -6 = -2*f - x. Let u(w) = 3 + w + 0*w + f*w. Give -2*n(k) + 5*u(k).
2*k + 1
Let c(w) = -w - 6. Let v(i) = i + 7. Determine 5*c(t) + 4*v(t).
-t - 2
Let s(p) = -p + 9. Let l(m) = m - 4. Suppose -3*q - y + 10 = -0, 3*q = 5*y - 14. Calculate q*s(o) + 5*l(o).
3*o - 2
Let i(s) = -5*s**3 - 35*s**2 + 8*s + 11. Let k(r) = -3*r**3 - 23*r**2 + 5*r + 7. Calculate -5*i(f) + 8*k(f).
f**3 - 9*f**2 + 1
Let y(x) = 2*x**3 - x**2 + 2*x - 5. Let s(q) be the first derivative of q**4/4 + q**2/2 - 2*q - 7. Give 5*s(m) - 2*y(m).
m**3 + 2*m**2 + m
Let y(c) = 2*c. Suppose 4*s = 2*z + 8, 0 = s + 2*z - 0 - 2. Let i(j) = -2 + 5*j - j + s*j + 3. Let q be (1 - -20)*1/3. Calculate q*y(f) - 2*i(f).
2*f - 2
Let z(l) = -l - 2. Let h(t) = 3*t**3 - t**2 + 1. Let c = -1 + 2. Let y be h(c). Let q(p) = p + 2. Let o = 21 + -19. Determine o*q(u) + y*z(u).
-u - 2
Let h(d) = -28*d**3 + 2*d**2 - 3. Let b(v) = 27*v**3 - 2*v**2 + 2. Determine 3*b(m) + 2*h(m).
25*m**3 - 2*m**2
Let n(f) = 9*f**2 - 9*f + 3. Suppose -3*p + p = 4*o + 16, -5*p - 2*o = 0. Let h(u) = 4*u**2 - 4*u + 1. Give p*n(r) - 5*h(r).
-2*r**2 + 2*r + 1
Let y(s) = 7*s + 5. Let p(k) = -k - 1. Give 6*p(r) + y(r).
r - 1
Suppose m - 2 = -g, m - 3*g + 2 = -0. Let h(w) = -w. Let t(u) = 5*u - 1. Give m*t(k) + 3*h(k).
2*k - 1
Let z(q) = 6*q**3 - 4*q**2 + 1. Let u(p) = 11*p**3 - 7*p**2 + 3. Determine -4*u(x) + 7*z(x).
-2*x**3 - 5
Let r(f) = 21*f**2 - 11*f + 16. Let h(a) = a**2 + 2*a + 2. Let b(o) = -2*o**2 - 2*o - 3. Let y(c) = 5*b(c) + 6*h(c). Give -2*r(d) - 11*y(d).
2*d**2 + 1
Let u(k) = -k**3 - 7*k**2 + k - 2. Let l(j) = 2*j**3 + 15*j**2 - 2*j + 5. Calculate 2*l(r) + 5*u(r).
-r**3 - 5*r**2 + r
Let b be 3/2*(6 - 0). Let o(y) = 2*y - 7. Let g(t) = 3*t + 0*t - 2*t - 3. Calculate b*g(r) - 4*o(r).
r + 1
Let s(z) = -3 - 2*z + 2 + z. Let c(o) = o**3 - 9*o**2 - o + 11. Let q be c(9). Let f(p) = 2*p + q - p + p. Calculate -4*f(t) - 7*s(t).
-t - 1
Let x(q) = -2*q**3 + 3*q**2 - 3*q + 9. Let w(g) = -7*g**3 + 8*g**2 - 8*g + 26. Determine -3*w(b) + 8*x(b).
5*b**3 - 6
Let k(p) = -3*p**2 + 3*p + 3. Suppose -3*q + 1 + 8 = 0. Let z(i) = 6*i**2 - 7*i - 7. Determine q*z(l) + 7*k(l).
-3*l**2
Let d(n) = -22*n - 3. Let r(b) = 23*b + 4. Give 4*d(w) + 3*r(w).
-19*w
Let z(f) = -3 + 0*f + 0*f + 0*f + f. Let a(j) = -j + 4. Let k(m) = -4*a(m) - 5*z(m). Let y(c) = 3*c + 2. Calculate 4*k(l) + 2*y(l).
2*l
Let w(l) = 2*l**3 - 7*l**2 + 5*l - 1. Let c(b) = -3*b**3 + 11*b**2 - 8*b + 2. What is -5*c(z) - 8*w(z)?
-z**3 + z**2 - 2
Let p(y) = -y**2 - y + 1. Let a(t) = -48*t**2 - 33*t + 33. Calculate -2*a(o) + 66*p(o).
30*o**2
Let h(s) = -2*s + 2. Let y(l) = -1. Let u = 11 + -18. Let b = u - -6. Determine b*h(i) - 3*y(i).
2*i + 1
Let d be 9/(-2)*(-4)/3. Let i(j) = 2*j**2 + j + 5. Let z(q) = 1. Give d*z(r) - i(r).
-2*r**2 - r + 1
Let d(t) = 9*t - 4. Let b(o) = o + 9. Let g be b(-4). Suppose 2*v + 1 = g, -2*m = 5*v. Let n(w) = w - 6*w - 2 + 10*w. Calculate m*n(f) + 3*d(f).
2*f - 2
Let r(t) = -t - 1. Let k = 28 - 14. Let q = -15 + k. Let n(b) = 3*b + 5. What is q*n(v) - 5*r(v)?
2*v
Let z(q) = -3*q**3 - q**2 + q + 4. Let h(c) = -5*c**3 - 2*c**2 + 2*c + 7. Suppose 0 = -b - 8 + 1. Give b*z(o) + 4*h(o).
o**3 - o**2 + o
Let b(a) = -3*a**2 + 2. Let q(r) be the second derivative of r**5/20 - r**4/12 + r**2/2 - 7*r. Determine b(t) - q(t).
-t**3 - 2*t**2 + 1
Let q(w) = -4*w**3 + 2*w**2 + 2*w - 42. Let v(p) = -13*p**3 + 7*p**2 + 7*p - 126. Give 7*q(t) - 2*v(t).
-2*t**3 - 42
Let k(q) = 6*q**2 - 2*q - 5. Let x(v) = 12*v**2 - 5*v - 11. What is -9*k(h) + 4*x(h)?
-6*h**2 - 2*h + 1
Let n = -56 - -58. Let z(p) = -3*p**3 + 3*p**2 - 3. Let s(y) = -3*y**3 + 2*y**2 - 2. What is n*z(u) - 3*s(u)?
3*u**3
Let h(u) = -u - 5. Let f(y) = 12*y + 66. Calculate -2*f(t) - 27*h(t).
3*t + 3
Let p(l) = -4*l**3 - 2*l. Let v(j) = 19*j**3 + 11*j. Calculate 22*p(z) + 4*v(z).
-12*z**3
Let h(w) = 6*w**3 + 2*w**2 + 2. Let a(c) = -7*c**3 - 3*c**2 - 2. Let v(m) = 2*m**2 - 3. Let r be v(-2). Give r*h(n) + 4*a(n).
2*n**3 - 2*n**2 + 2
Let m = -95 - -101. Let n(l) = 6. Let c(s) = -s - 3. What is m*c(p) + 3*n(p)?
-6*p
Let m(g) = g**2 + g + 1.
|
{
"pile_set_name": "DM Mathematics"
}
|
978, 4023, 5480?
7349
What is next in 811325, 1622639, 2433953, 3245267, 4056581?
4867895
What comes next: 452858, 3622629, 12226290, 28980785, 56603058, 97810053, 155318714?
231845985
What comes next: 3093, 5011, 6925, 8835, 10741, 12643, 14541?
16435
What comes next: -1440, -5882, -13306, -23718, -37124, -53530?
-72942
What is next in 17087938, 34175869, 51263800?
68351731
What is next in -1611, -12858, -43361, -102744, -200631?
-346646
What is next in -2364909, -2364821, -2364657, -2364405, -2364053, -2363589?
-2363001
What is next in -21477, -43452, -66417, -90870, -117309, -146232?
-178137
What is next in -3789688, -7579350, -11369012, -15158674?
-18948336
What is next in 349, 2073, 6557, 15187, 29349?
50429
What is the next term in -60, 2834, 10678, 25944, 51104, 88630, 140994?
210668
What is next in -396146, -396091, -395998, -395867, -395698, -395491, -395246?
-394963
What is the next term in -159298, -159302, -159326, -159376, -159458?
-159578
What comes next: 8412536, 8412470, 8412404, 8412338, 8412272?
8412206
What comes next: -962, -1041, -1178, -1391, -1698, -2117, -2666?
-3363
What is the next term in -475214, -950999, -1426782, -1902563?
-2378342
What is next in 326332320, 652664640, 978996960, 1305329280, 1631661600?
1957993920
What is the next term in -228, -724, -1520, -2628, -4060, -5828?
-7944
What is next in 1981385, 3962769, 5944153, 7925537, 9906921?
11888305
What comes next: -608836, -1217281, -1825694, -2434069, -3042400?
-3650681
What is next in -20650650, -20650643, -20650636, -20650629?
-20650622
What is next in -1365673, -2731353, -4097037, -5462725?
-6828417
What is the next term in -16637, -130462, -439417, -1041068, -2032981, -3512722, -5577857, -8325952?
-11854573
What comes next: -123578, -123581, -123572, -123545, -123494, -123413, -123296?
-123137
What is next in -11387589, -11387617, -11387647, -11387679?
-11387713
What is next in -5513, -2830, -147, 2536?
5219
What is the next term in -502642, -502643, -502644?
-502645
What is next in 5013, 5061, 5111, 5163, 5217, 5273, 5331?
5391
What is next in -736, -716, -696, -688, -704, -756, -856?
-1016
What is next in 11360, 88732, 298142, 705608, 1377148, 2378780?
3776522
What comes next: -141117135, -141117160, -141117199, -141117258, -141117343, -141117460?
-141117615
What is the next term in -14944, -14723, -14502, -14281?
-14060
What comes next: 2096, 5353, 8610, 11867?
15124
What is next in 664055, 1328561, 1993067?
2657573
What comes next: 327465, 327233, 326845, 326301?
325601
What is the next term in -2441, -2807, -3771, -5633, -8693?
-13251
What is the next term in 34459, 69006, 103637, 138352, 173151, 208034?
243001
What is next in -568002, -1136629, -1705256, -2273883, -2842510, -3411137?
-3979764
What comes next: 38264, 59305, 80356, 101423, 122512?
143629
What is next in -1471, -5994, -13541, -24112, -37707, -54326?
-73969
What is the next term in -14360, -28678, -52540, -85946, -128896, -181390?
-243428
What is the next term in -1909043, -7636201, -17181477, -30544871, -47726383?
-68726013
What comes next: 263843, 529207, 794571, 1059935?
1325299
What comes next: 4486, 7425, 10338, 13225, 16086, 18921?
21730
What comes next: -3262, -11098, -24150, -42412, -65878?
-94542
What is the next term in 1719, 3474, 5243, 7038, 8871, 10754, 12699?
14718
What comes next: 253778, 507538, 761298, 1015058, 1268818?
1522578
What comes next: 19356, 19287, 19214, 19137?
19056
What comes next: -10276309, -10276308, -10276307?
-10276306
What is the next term in -138631, -1108913, -3742547, -8871211, -17326583, -29940341?
-47544163
What is the next term in 9105, 9552, 10297, 11340, 12681, 14320?
16257
What is the next term in -1449, -1586, -1805, -2106, -2489, -2954, -3501?
-4130
What is next in 2934651, 2934656, 2934661, 2934666, 2934671?
2934676
What comes next: 618, 1112, 1536, 1890, 2174, 2388, 2532?
2606
What is next in 1023, 2251, 3791, 5799, 8431, 11843, 16191?
21631
What is next in 82756, 162448, 242126, 321784, 401416, 481016, 560578?
640096
What is the next term in -447, -830, -1213, -1596, -1979?
-2362
What is next in 397356525, 794713052, 1192069577, 1589426100?
1986782621
What is next in 2066, 9999, 23220, 41729?
65526
What is next in 3657, -672, -7887, -17994, -30999, -46908, -65727?
-87462
What is next in 401091, 803044, 1204997, 1606950, 2008903, 2410856?
2812809
What comes next: -677709, -677659, -677607, -677553, -677497, -677439, -677379?
-677317
What is next in 4974479, 4974486, 4974497, 4974512, 4974531, 4974554?
4974581
What comes next: -92911, -371756, -836535, -1487248, -2323895?
-3346476
What is the next term in -13947, -27399, -40851, -54303?
-67755
What comes next: -36395317, -72790629, -109185937, -145581241, -181976541, -218371837, -254767129?
-291162417
What comes next: 2359554, 2359557, 2359544, 2359509, 2359446, 2359349?
2359212
What is next in -505, -1946, -4283, -7480, -11501, -16310?
-21871
What is next in 4898193, 19592739, 44083641, 78370899, 122454513, 176334483?
240010809
What is next in -12677, -11928, -11177, -10424?
-9669
What is next in -700, -3199, -7412, -13339, -20980?
-30335
What comes next: -161, -523, -1033, -1691, -2497, -3451, -4553?
-5803
What is the next term in -22664, -17271, -11878, -6485?
-1092
What comes next: -6796, -7485, -8632, -10237, -12300, -14821?
-17800
What is the next term in 10744, 10765, 10802, 10855, 10924?
11009
What is the next term in 27384, 27096, 26808, 26520, 26232, 25944?
25656
What is next in 22081, 88242, 198491, 352828, 551253?
793766
What is the next term in 1718, 14483, 49004, 116159, 226826?
391883
What is next in -49565, -49694, -49827, -49964, -50105, -50250, -50399?
-50552
What is next in -112815, -112588, -112323, -112020, -111679, -111300?
-110883
What is next in 4339, 34596, 116693, 276550, 540087, 933224, 1481881, 2211978?
3149435
What is the next term in -61412, -122483, -183552, -244619?
-305684
What is next in 2331, 3907, 5483, 7059?
8635
What comes next: -1582, -1113, -644, -175?
294
What is the next term in 99568, 99883, 100196, 100507, 100816, 101123, 101428?
101731
What comes next: 350287266, 700574532, 1050861798, 1401149064, 1751436330, 2101723596?
2452010862
What comes next: -1105, -450, 1317, 4754, 10419?
18870
What is the next term in -47422, -42172, -36922?
-31672
What is the next term in 3597, 6182, 7741, 8286, 7829, 6382?
3957
What is the next term in -419, 0, 801, 2068, 3885, 6336, 9505, 13476?
18333
What comes next: -5341486, -10682982, -16024478, -21365974, -26707470?
-32048966
What comes next: 8, -31, -182, -523, -1132, -2087, -3466?
-5347
What is next in -991139622, -991139624, -991139626, -991139628, -991139630, -991139632?
-991139634
What comes next: 3181519, 6363038, 9544557, 12726076?
15907595
What comes next: 431, 864, 1261, 1616, 1923, 2176, 2369?
2496
What is the next term in -6854, -26589, -59194, -104663, -162990, -234169, -318194?
-415059
What comes next: -152804963, -305609927, -458414891, -611219855, -764024819?
-916829783
What is the next term in -607, -1576, -2549, -3532, -4531, -5552?
-6601
What is next in 17500, 28936, 40362, 51772, 63160, 74520, 85846, 97132?
108372
What comes next: 11491, 22778, 34079, 45394, 56723?
68066
What is the next term in -2016, -2890, -3770, -4656?
-5548
What is the next term in -26375, -69831, -113289, -156749, -200211, -243675?
-287141
What is the next term in -1155764, -1155772, -1155784, -1155800?
-1155820
What comes next: -3372612, -3372641, -3372670, -3372699, -3372728, -3372757?
-3372786
What is the next term in 583, 90, -1277, -3956, -8385?
-15002
What comes next: 497970, 995942, 1493914, 1991886, 2489858?
2987830
What comes next: -365086, -730561, -1096038, -1461517?
-1826998
What comes next: 15776, 15680, 15586, 15494?
15404
What is the next term in 6605, 26397, 59397, 105617, 165069, 237765, 323717, 422937?
535437
What is the next term in 18191, 8353, -1485, -11323, -21161?
-30999
What is next in -89522, -179069, -268640, -358241, -447878, -537557, -627284, -717065?
-806906
What comes next: -372811, -371821, -370171, -367861, -364891?
-361261
What is next in 32, 416, 1102, 2090, 3380?
4972
What comes next: 3998, 3976, 3916, 3812, 3658, 3448, 3176?
2836
What is the next term in -228500, -457110, -685846
|
{
"pile_set_name": "DM Mathematics"
}
|
5?
36200
Calculate the lowest common multiple of 14649 and 114.
29298
Calculate the common denominator of 49/186 and -31/1105.
205530
What is the smallest common multiple of 16 and 994326?
7954608
What is the least common multiple of 4944 and 927?
14832
Calculate the lowest common multiple of 105588 and 36.
105588
Calculate the lowest common multiple of 335832 and 5.
1679160
Calculate the smallest common multiple of 792 and 6.
792
Calculate the common denominator of 11/96368 and 47/532.
674576
Calculate the lowest common multiple of 1083 and 3.
1083
What is the least common multiple of 1763277 and 9?
5289831
What is the common denominator of -49/18363 and 47/2809539?
2809539
Calculate the lowest common multiple of 625 and 1800.
45000
What is the smallest common multiple of 6516 and 1?
6516
Calculate the common denominator of -179/1206660 and -29/172380.
1206660
Find the common denominator of -19/8397 and -3/11.
92367
What is the common denominator of -41/56948 and -49/828?
512532
What is the smallest common multiple of 3198 and 10578?
137514
Calculate the lowest common multiple of 1720 and 708.
304440
Calculate the least common multiple of 4197 and 8394.
8394
What is the least common multiple of 744 and 35?
26040
What is the lowest common multiple of 179508 and 280?
1795080
Calculate the lowest common multiple of 320 and 46432.
464320
Find the common denominator of -139/720 and -109/3600.
3600
Calculate the common denominator of -29/745 and 76/9105.
1356645
Calculate the common denominator of -49/1536 and 107/4608.
4608
What is the common denominator of -40/258021 and 21/286690?
2580210
Calculate the common denominator of 97/8 and 89/616002.
2464008
What is the least common multiple of 2 and 172371?
344742
Calculate the common denominator of 31/2844 and 77/41238.
82476
Calculate the lowest common multiple of 228 and 152.
456
What is the least common multiple of 22050 and 8820?
44100
What is the least common multiple of 32605 and 65210?
65210
Calculate the lowest common multiple of 625 and 21975.
549375
Calculate the smallest common multiple of 200 and 528.
13200
Calculate the common denominator of -28/335331 and -161/63270.
3353310
Calculate the common denominator of -47/24 and 65/113528.
340584
What is the smallest common multiple of 2156 and 1618?
1744204
Calculate the common denominator of 33/602 and -74/4257.
59598
Find the common denominator of 83/5012 and -145/252.
45108
Calculate the smallest common multiple of 19266 and 1368.
231192
What is the smallest common multiple of 301 and 20468?
20468
Find the common denominator of -65/4288 and -61/484.
518848
What is the smallest common multiple of 7 and 119961?
839727
Find the common denominator of -29/94055 and 6/15917.
1034605
Calculate the common denominator of 25/88 and 4/22869.
182952
Calculate the smallest common multiple of 513 and 37962.
37962
What is the common denominator of 7/107445 and 79/80?
1719120
Calculate the smallest common multiple of 62670 and 41780.
125340
Calculate the common denominator of 15/7 and 24/85883.
85883
What is the least common multiple of 46480 and 140?
46480
What is the lowest common multiple of 78 and 43488?
565344
Calculate the least common multiple of 711 and 168902.
1520118
Find the common denominator of 8/19895 and -41/5750.
994750
What is the common denominator of 34/21 and 34/6737?
141477
Calculate the lowest common multiple of 14 and 98618.
690326
Calculate the common denominator of 7/5 and -143/54900.
54900
Calculate the least common multiple of 906 and 5388.
813588
Calculate the lowest common multiple of 1789124 and 9.
16102116
Find the common denominator of -55/10224 and -77/3834.
30672
What is the common denominator of 23/12610 and 43/40?
50440
Calculate the common denominator of -139/1980 and 167/20748.
3423420
What is the smallest common multiple of 516 and 147576?
147576
Calculate the common denominator of -109/22860 and 49/21590.
388620
Calculate the common denominator of -61/2604 and 11/15624.
15624
Calculate the lowest common multiple of 434478 and 941369.
5648214
What is the least common multiple of 498 and 46314?
46314
Calculate the common denominator of 115/12768 and 93/128.
51072
What is the smallest common multiple of 26 and 5343?
10686
What is the common denominator of -37/3315 and -38/1599?
135915
What is the smallest common multiple of 34074 and 11358?
34074
What is the common denominator of -13/7962 and -16/1327?
7962
What is the lowest common multiple of 13600 and 1700?
13600
Calculate the common denominator of 45/368 and -103/35232.
810336
Find the common denominator of 95/97632 and 109/10848.
97632
Calculate the smallest common multiple of 875435 and 238755.
2626305
Calculate the least common multiple of 4710 and 4239.
42390
Calculate the least common multiple of 70665 and 181710.
1271970
Calculate the common denominator of -10/303719 and -7/116815.
1518595
Find the common denominator of 59/53120 and 31/26560.
53120
What is the lowest common multiple of 7938 and 77?
87318
Calculate the common denominator of 33/11675 and 48/115.
268525
Calculate the common denominator of -19/3003960 and -73/90.
9011880
Calculate the common denominator of -7/10560 and -139/2772.
221760
What is the common denominator of 103/1584 and -75/56?
11088
Find the common denominator of -145/6696 and 53/94860.
569160
Calculate the common denominator of -79/3468 and -71/249.
287844
What is the lowest common multiple of 847 and 15730?
110110
What is the smallest common multiple of 88 and 26466?
105864
What is the common denominator of 35/78866 and 77/16?
630928
Calculate the smallest common multiple of 3842 and 357.
80682
What is the smallest common multiple of 6 and 47025?
94050
What is the lowest common multiple of 77586 and 3?
77586
What is the common denominator of 101/16 and -151/59430?
475440
What is the least common multiple of 28752 and 2976?
1782624
What is the common denominator of -43/324094 and -57/4?
648188
What is the least common multiple of 5640 and 10152?
50760
Find the common denominator of 19/13180 and -121/160.
105440
Find the common denominator of -121/259584 and 49/32448.
259584
Calculate the lowest common multiple of 3086 and 2.
3086
Calculate the common denominator of 97/280 and -113/12940.
181160
Calculate the common denominator of -26/236125 and 68/55.
2597375
What is the least common multiple of 2334477 and 1116489?
25679247
What is the common denominator of -57/574 and -57/287164?
2010148
Calculate the common denominator of -109/50220 and -44/125.
1255500
What is the common denominator of -13/7684 and -37/1344?
2581824
Calculate the lowest common multiple of 247266 and 27.
247266
Calculate the common denominator of -67/6669 and 56/6669.
6669
What is the common denominator of 39/266 and 29/61726?
1172794
What is the lowest common multiple of 11224 and 1288?
78568
Find the common denominator of -71/207495 and 67/1044.
829980
What is the smallest common multiple of 70 and 7682?
268870
What is the lowest common multiple of 672 and 33352?
2801568
Find the common denominator of 31/15143 and -50/11.
166573
Calculate the lowest common multiple of 18 and 14160.
42480
Find the common denominator of 37/196476 and -33/163730.
982380
Find the common denominator of 97/41068 and 131/18.
369612
What is the lowest common multiple of 355290 and 13?
355290
What is the common denominator of 17/588 and 89/48321?
1352988
Calculate the smallest common multiple of 22049 and 187.
242539
What is the lowest common multiple of 168 and 2597?
62328
Find the common denominator of 167/37506 and 62/4935.
187530
Find the common denominator of -29/1960 and -75/64.
15680
Calculate the common denominator of -17/5744 and -59/24.
17232
Calculate the common denominator of -127/1218 and 11/21112.
63336
What is the smallest common multiple of 247596 and 1316?
1733172
Calculate the least common multiple of 4701 and 75.
117525
What is the common denominator of 31/94444 and 13/1818047?
7272188
What is the smallest common multiple of 21204 and 8835?
106020
What is the lowest common multiple of 18 and 13968?
13968
What is the common denominator of -14/64539 and 19/2208668?
19878012
What is the least common multiple of 5996 and 1282?
3843436
Calculate the smallest common mu
|
{
"pile_set_name": "DM Mathematics"
}
|
3.04 - 3953. Which is the closest to -2? (a) 0.4 (b) 7 (c) q
c
Let k = -0.012 + -39.988. Let v = k - -40.68. Let t = v + 0.32. What is the nearest to 0.1 in 5, -1/9, t?
-1/9
Let n = -723.9 + 721.9. Which is the closest to 2/7? (a) -2/13 (b) -6 (c) n (d) 0
d
Let t be (-15)/(-55)*2/(-3). Let o be (-302)/140 + (-21)/(-14). Let p = o - -6/7. What is the closest to -3 in -2, t, p?
-2
Suppose -78 + 48 = -h. Suppose 2*g + h + 2 = z, -100 = -4*z + g. Suppose 24*w - z = 30*w. Which is the closest to -2? (a) w (b) 0.8 (c) 6/7
a
Let u = 1.873 - 1.573. What is the nearest to 10 in u, 4, -2/3, -7/5?
4
Let t = -0.25297 + 0.55297. Let j = 8 + -13. Which is the nearest to t? (a) j (b) 0 (c) -0.1
b
Suppose 0 = -20*u - 322 - 518. Let k be (4 + 166/u)*(-4 - -10). What is the closest to k in -1, -84, -2/3?
-2/3
Let t = -43 + 24. Let o = -20 - t. Let y = o + 0.5. What is the closest to 2/41 in 0, y, 0.2?
0
Let m = 20763 - 20758. Let z = -1.02 - -0.02. Which is the nearest to -1/2? (a) m (b) z (c) 0.12 (d) -3/8
d
Suppose -201*f + 13 = p - 196*f, 2*p = -3*f + 12. Which is the closest to -0.5? (a) 2 (b) -8 (c) p (d) -2/5
d
Let u(i) = i**2 + 184*i + 1237. Let c be u(-7). What is the closest to c in 2, -0.1, 3/8, 0.6?
-0.1
Let m = 0 - -1. Let d be (-4)/(-5)*((-726)/(-54) - 14). Let o = 0.245 + 0.855. What is the nearest to m in 2/3, o, d?
o
Let q = 456 - 456. Let w = -0.27 + 13.27. Let u = w - 9. Which is the nearest to -1? (a) u (b) 2 (c) q
c
Suppose -y + 58 = -32. Let s be -27*(6/(-10))/(y/(-50)). Which is the nearest to 3? (a) s (b) -1/8 (c) 1
c
Let n(g) = -36*g - 2740. Let x be n(-76). Which is the nearest to 1/4? (a) -7 (b) 1/12 (c) 0 (d) x
b
Let u = -0.1662 + 0.22. Let v = u - -3.9462. What is the nearest to 2/7 in 1/4, v, 2/9, 0.4?
1/4
Let s be (-195)/35 - (-36)/63 - 2. Let v = 0.3 + -0.2. Which is the nearest to 3? (a) v (b) -1/5 (c) s
a
Let t = -1.89 - -1.954. Let y = -5.064 + t. What is the nearest to -1/2 in 0.16, -0.2, y?
-0.2
Suppose -2*d + z + 140 = 0, 0*d - 4*d - z + 280 = 0. Let j = -68 + d. Let q be j/(-16)*-2 + (-154)/(-440). Which is the closest to 0.1? (a) -0.2 (b) -4 (c) q
a
Let w = -0.2785 + 0.3785. What is the nearest to -0.1 in w, 26, 6?
w
Let m = 1353.2 - 1353. Which is the closest to -6/11? (a) 0.3 (b) m (c) -15 (d) 0.1
d
Let z = -0.246 + -138.754. Let u = 145 + z. What is the nearest to 0 in u, -2/11, 1/3?
-2/11
Let q = 3758 + -3748. What is the nearest to 1 in -5, q, 0, 2/11?
2/11
Let v = 40/11 + -167/55. Suppose -5*s - 2*l + 19 = 0, -5*s + 2*l + 19 = -12. Let r be 2/(-28)*(27 - 7)/s. Which is the nearest to r? (a) v (b) -3/4 (c) 2
b
Suppose 105 = -29*p + 22*p. Let m = 73/5 + p. Which is the closest to m? (a) 2/9 (b) 1/2 (c) 0.4
a
Let l = -2.653 - -55.653. Which is the closest to 2/13? (a) -0.1 (b) l (c) 2
a
Let p = -1364 + 1366. Suppose w - 5 - 5 = -5*u, 2*u = -w + 4. Let t be 1/((8/u)/8). What is the nearest to p in t, -0.3, -3?
t
Let v = 62.7 - 32. Let r = v + -33.7. What is the nearest to -0.3 in -0.4, -2/15, r?
-0.4
Let l be 4/(-438)*594/990. Which is the nearest to 0.2? (a) 1/2 (b) -2 (c) l
c
Let h = 19 - -89. Let n = -107.8 + h. Let t = 0.2 + -0.7. Which is the closest to 1/4? (a) 4/15 (b) n (c) t
a
Suppose -10 = -21*y + 26*y. Let f be (-2)/(77/98 + y/7). What is the nearest to -59 in -2, 0.4, f?
f
Let v be (-496 - -495)*(-15 - -2). What is the closest to 2/3 in -3, v, 0.1, -9?
0.1
Let m be (-8)/(-12)*(-3)/92. Let l = m + 14/115. Let k = 0.031259 - 2.031259. Which is the closest to -0.1? (a) l (b) 4 (c) k
a
Let v(i) = -i**3 - 16*i**2 - 15*i + 16. Let h be v(-15). Let y be 6/(-8) - (-140)/h. Which is the nearest to y? (a) -2/3 (b) -1 (c) 5
c
Let f = 9455 + -9454. Which is the nearest to f? (a) -154 (b) 4 (c) 2
c
Suppose 2*i - 26 = -4*c, 7*c + 19 = i + 12*c. What is the nearest to -0.31 in 0.2, 1, i?
0.2
Let l = 194 + -211. Let s be -60 - ((-6)/(-9))/((-6)/9). Let g = 58 + s. Which is the nearest to g? (a) l (b) -5 (c) 1/4
c
Let a be 20/(-88)*(-540)/75. What is the nearest to 3 in a, 4, -1?
4
Let m = 81 + 71. Let y = m - 151. Let p = 285/1768 - 1/136. What is the nearest to 0.1 in p, -1, y?
p
Suppose -5*l + 2*b = 23, 1 = 2*l + b + 3. Let w(z) = z**3 + 5*z**2 + 5*z - 1. Let t be w(l). Let d = -0.06 + 0.12. What is the nearest to d in -6/11, t, -4?
-6/11
Let s = 926 + -924. Let f = -0.15 + 0.15. Which is the closest to -0.1? (a) f (b) s (c) 19 (d) 1/6
a
Let p = -7383/4 - -1857. Let h = -311/28 + p. Which is the closest to 0.2? (a) h (b) 5/2 (c) -0.5
a
Let q(x) = -x**3 + 22*x**2 + 48*x + 2. Let u be q(24). Let l = 4 - 4. Suppose 3*k = 3*p - 24, -2*p - k + u*k + 11 = l. What is the closest to -0.1 in p, -5, -1?
-1
Let g = -665/1298 + 8/649. Suppose 8 = -w - w. Which is the nearest to 3? (a) -0.1 (b) w (c) 4 (d) g
c
Let n be (-4)/(-8) - 495/110. What is the closest to 30 in n, 2, 2/11?
2
Let i = 1 - 0. Let u = -1526.08 - -1522.08. Which is the nearest to -3? (a) u (b) i (c) 1/5 (d) 9
a
Let q(m) = -5*m**2 - 35*m - 4. Suppose 27 = -7*o - 22. Let l be q(o). Let k = 2 - 2. What is the closest to l in 0.1, 0.02, k?
k
Let t = -244 - -334. Let c = 90.1 - t. Let l = 11 - 7. What is the nearest to -0.1 in c, 1/3, l?
c
Let r = 0.4 + -0.1. Let q = -5.2 + 5.3. Let i = -16 - -15.8. What is the closest to q in 1, i, r?
r
Let x = -14153 - -183987/13. Which is the nearest to -0.13? (a) 14 (b) x (c) -7
b
Let v = 6.734 + 0.066. Let m = v - 2.8. Suppose 4*q + 3 = -1. Which is the nearest to q? (a) m (b) 0.1 (c) -3
b
Suppose i + 5*a = 0, 4*a + 3 = i - 15. Let v = i - 17. Let p = -862 + 863. What is the nearest to v in 5, p, -3?
-3
Let x = -1708/9 - -39554/207. Let f = -37/46 + x. Which is the closest to -0.1? (a) -1 (b) -4 (c) f
c
Let v = -37 - -55. Let k be (3/(-4))/(27/v). Let h = -0.11 - -0.01. Which is the closest to h? (a) -0.1 (b) -3 (c) k
a
Let q be (-4)/(-10)*(-76)/(-152). Which is the closest to -2/27? (a) 0 (b) 1/6 (c) 2/11 (d) q
a
Let y(c) = 44*c - 592. Let s be y(14). What is the closest to 1/2 in -3, s, 0.6?
0.6
Let y = -490 + 489. Let k be (15/3)/(-18 + 12). Which is the nearest to k? (a) -0.2 (b) y (c) 5 (d) 0.3
b
Let z = 15704 - 15702. Which is the closest to z? (a) -3 (b) 5 (c) -0.3811
c
Suppose -3*s - 24 = 12. Let f be -4*(27/18)/((-9)/s). Which is the closest to 1? (a) -4/7 (b) -1 (c) f
a
Let f = -58/715 + -4/55. Let v = -7.0858 + 0.0858. What is the closest to v in f, -5, 2/13, 0.4?
-5
Let g = 2 - 2.5. Let k = 1684 - 1676. Which is the closest to k? (a) -3/7 (b) g (c) 3
c
Let h = 139.7 - 143.7. Let v = -0.1 - 0.2. What is the nearest to h in 2/5, -1, v, -2/5?
-1
Let l = -120.51 + 120.5. Which is the closest to -3? (a) 3 (b) l (c) -4 (d) 0
c
Let z = 0.4 - 0.5. Let a = -6.678 - -6.8. Let b = -2.878 - a. What is the closest to z in b, -0.6, 1?
-0.6
Let d(m) = -m**2 - 4*m - 1. Let u be d(-4). Let k = 284.03 - 288.03. What is the closest to -38 in 4/7, u, k?
k
Let t = 0.03483 - 0.23483. What is the closest to t in -0.5, -4, -5, -1/13?
-1/13
Suppose -337 + 130 = -23*i. Which is the nearest to 0.1? (a) 5 (b) i (c) 0.4
c
Let h = 483.3 - 482.9. What is the nearest to 3/10 in h, -0.2, -2/9?
h
Let r = -4809.8 + 4810. Which is the closest to 27? (a) -4 (b) 5 (c) 3 (d) r
b
Let p = 462 - 265. Let m = p + -198. Which is the nearest to m? (a) 3 (b) 0 (c) 15
b
Let n be 2/(-4)*(0 + 1). Let s = -1.3079 - 0.6921. What is the closest to 1/4 in s, 7, n, 0.4?
0.4
Let o be (9 + 2)*24/44*5/16. What is the closest to -1 in -1/6, 1, 3/5, o?
-1/6
Let k = -144 - -140. Suppose 0 = -5*x - x + 30. Suppose 3*s - 14 = x*p - 0*p, 5*s = 4*p + 19. What is the nearest to p in -1/2, 0.9, k?
-1/2
Let m = -2514.9 - -2515. Which is the closest to 2/37? (a) -1 (b) 0.17 (c) 4 (d) m
d
Let h = -1129 + 450. Let f = -680 - h. What is the nearest to f in -2/13, 0, -2/5?
-2/5
Let u = -18.42 - -15.42. Which is the nearest to -1/22? (a) -0.02 (b) -1 (c) u (d) 1/5
a
Let d be 2/(-17) - ((-1135)/255 - -5). Let o = 0.132 + -0.132. What is the nearest to o in 0.3, d, -12, 0.1?
0.1
Let z = 37 - 15. Let v = z + -25. Which is the nearest to 2? (a) v (b) 0.2 (c) 5
b
Let w be (3 - 38/12) + (-240104)/528. Let c = -455 - w. What is the closest to 0 in 148, c, 0.5?
|
{
"pile_set_name": "DM Mathematics"
}
|
se 2.
-101101000
3342 (base 10) to base 5
101332
537 (base 16) to base 2
10100110111
What is 2167 (base 12) in base 2?
111001011111
Convert -1075 (base 13) to base 5.
-33133
-2221 (base 13) to base 12
-2907
-4443 (base 7) to base 15
-719
-2317 (base 8) to base 13
-739
Convert 325 (base 9) to base 4.
10022
b22 (base 14) to base 12
1322
-4413 (base 6) to base 10
-1017
What is -588 (base 14) in base 9?
-1452
What is -6453 (base 7) in base 4?
-203310
-18656 (base 15) to base 3
-11000110000
17c3 (base 14) to base 11
3248
141177 (base 8) to base 2
1100001001111111
What is -4194 (base 13) in base 11?
-6903
-1acd (base 16) to base 15
-2076
What is -121 (base 16) in base 4?
-10201
5646 (base 7) to base 16
7fb
What is -2860 (base 11) in base 10?
-3696
Convert -202000010 (base 3) to base 5.
-431313
-d20b (base 14) to base 4
-20303223
2200 (base 5) to base 16
12c
What is -121a (base 15) in base 6?
-25454
What is -360 (base 11) in base 15?
-1d9
-114400 (base 5) to base 16
-10fe
Convert 650 (base 8) to base 14.
224
-691 (base 10) to base 14
-375
Convert -10110001011111 (base 2) to base 6.
-124331
Convert -12322 (base 5) to base 6.
-4242
-11701 (base 8) to base 10
-5057
What is 11300 (base 4) in base 2?
101110000
What is 2000201 (base 3) in base 13?
898
Convert -8893 (base 12) to base 8.
-35357
What is -221201 (base 3) in base 14?
-378
-11123 (base 5) to base 15
-378
Convert 1327 (base 9) to base 10.
997
What is 1200020 (base 3) in base 7?
3363
1156 (base 7) to base 3
121001
-5352 (base 7) to base 6
-12443
What is 745 (base 8) in base 14?
269
What is 21022110 (base 4) in base 12?
19870
Convert -314 (base 7) to base 15.
-a8
409c (base 16) to base 2
100000010011100
230 (base 9) to base 2
10111101
What is 51 (base 12) in base 14?
45
Convert 100001011111 (base 2) to base 9.
2841
What is -1102413 (base 5) in base 16?
-4aa4
4333 (base 5) to base 6
2425
2847 (base 11) to base 9
5040
-23020101 (base 4) to base 3
-2022112100
-91 (base 15) to base 7
-253
-2cb (base 16) to base 3
-222111
525 (base 12) to base 11
621
What is -822 (base 11) in base 3?
-1100202
Convert -26522 (base 11) to base 14.
-db4d
What is 1052 (base 11) in base 2?
10101101100
What is -111330 (base 7) in base 6?
-231143
14827 (base 9) to base 12
5a5a
-2323 (base 8) to base 12
-86b
Convert -1000001111001011 (base 2) to base 9.
-51247
-206 (base 15) to base 3
-121220
Convert -11328 (base 10) to base 2.
-10110001000000
What is 1435 (base 6) in base 13?
236
What is -7a6 (base 15) in base 7?
-5022
Convert -2332 (base 5) to base 13.
-204
-bdc (base 16) to base 15
-d76
Convert -3b16 (base 13) to base 9.
-12550
What is -3015 (base 11) in base 13?
-1a95
-230313 (base 6) to base 2
-100110001100101
What is 7696 (base 10) in base 15?
2431
Convert 5512 (base 13) to base 6.
130501
What is a7c (base 13) in base 3?
2110102
-18471 (base 10) to base 14
-6a35
What is 112300 (base 4) in base 6?
10424
-582 (base 11) to base 3
-221202
Convert -32431 (base 5) to base 13.
-1035
What is -6bc (base 13) in base 3?
-1121022
What is -622 (base 9) in base 5?
-4011
What is 1282 (base 12) in base 9?
2808
1a1a (base 16) to base 15
1ea7
Convert -53 (base 9) to base 5.
-143
Convert 349 (base 16) to base 13.
4c9
2b90a (base 12) to base 7
345064
-1111011 (base 3) to base 12
-764
Convert 3960 (base 12) to base 14.
2560
1100001 (base 2) to base 3
10121
Convert 1740 (base 10) to base 15.
7b0
6227 (base 9) to base 5
121221
-43447 (base 9) to base 10
-28798
What is -157003 (base 8) in base 11?
-39779
What is -aa (base 14) in base 12?
-106
Convert -1002 (base 3) to base 16.
-1d
Convert -320 (base 8) to base 14.
-10c
Convert 5423 (base 6) to base 11.
a27
What is 2022002 (base 3) in base 15?
76b
Convert 175 (base 11) to base 2.
11001011
What is -2460 (base 7) in base 9?
-1236
What is -2c4d (base 16) in base 12?
-6691
-1000101101 (base 2) to base 7
-1424
-132215 (base 7) to base 14
-907c
3745 (base 8) to base 3
2202212
224313 (base 5) to base 10
8083
What is -10100000100111 (base 2) in base 15?
-30a4
What is -193 (base 11) in base 9?
-267
Convert 521 (base 9) to base 15.
1d4
33 (base 15) to base 5
143
What is -1b6 (base 16) in base 2?
-110110110
What is -12c (base 16) in base 15?
-150
What is -20415 (base 6) in base 5?
-41442
-149 (base 14) to base 10
-261
2246 (base 7) to base 15
398
Convert 36b (base 13) to base 15.
29b
-1a376 (base 12) to base 15
-b643
-91 (base 16) to base 11
-122
434225 (base 6) to base 2
1000110001101001
What is 4858 (base 14) in base 8?
30516
What is -873 (base 10) in base 12?
-609
What is 73571 (base 8) in base 4?
13131321
What is b724 (base 14) in base 5?
2002323
-111111110110 (base 2) to base 16
-ff6
What is 273 (base 13) in base 10?
432
Convert 3335 (base 13) to base 10.
7142
-3230331 (base 4) to base 5
-441130
2001012 (base 3) to base 5
21430
Convert -116 (base 7) to base 10.
-62
What is -5f2 (base 16) in base 15?
-6b7
-3541 (base 12) to base 2
-1011101000001
What is 3685 (base 10) in base 12?
2171
What is 28c (base 13) in base 14?
246
Convert 434 (base 5) to base 7.
230
Convert -383 (base 13) to base 12.
-432
Convert -1737 (base 13) to base 6.
-23510
What is 3057 (base 9) in base 12?
1367
Convert 201022 (base 4) to base 9.
2817
What is 20280 (base 12) in base 3?
2010102020
What is -995 (base 13) in base 12?
-b4b
What is -303131 (base 4) in base 13?
-1664
What is 4411 (base 6) in base 8?
1767
-11000101110 (base 2) to base 3
-2011121
What is -1000000001 (base 2) in base 13?
-306
Convert 2213 (base 6) to base 2.
1000000001
What is -53 (base 16) in base 6?
-215
539 (base 12) to base 14
3c9
-1cf (base 16) to base 2
-111001111
1aa (base 14) to base 9
424
Convert 22021222 (base 3) to base 8.
13637
103403 (base 7) to base 16
4673
38866 (base 10) to base 16
97d2
What is 2757 (base 10) in base 4?
223011
Convert 30200322 (base 4) to base 11.
35569
Convert 36a5 (base 11) to base 7.
20044
What is 337 (base 14) in base 15?
2c7
Convert -2020 (base 5) to base 14.
-148
Convert 12f3 (base 16) to base 8.
11363
Convert 87 (base 15) to base 12.
a7
-100022221 (base 3) to base 8
-15222
Convert -1000011 (base 2) to base 9.
-74
Convert -52 (base 11) to base 13.
-45
Convert 1015 (base 14) to base 13.
1347
Convert -3286 (base 13) to base 14.
-27cb
What is -43335 (base 8) in base 11?
-126a2
40aa7 (base 11) to base 7
336416
4a08 (base 11) to base 7
25034
Convert 375 (base 12) to base 7.
1343
12143 (base 10) to base 3
121122202
Convert 14e (base 15) to base 11.
252
Convert -5131 (base 6) to base 8.
-2157
What is -11233 (base 4) in base 5?
-2432
What is -102110120 (base 3) in base 7?
-33240
11c3 (base 16) to base 4
1013003
Convert 1014 (base 5) to base 7.
251
28a2 (base 13) to base 11
4464
What is 11fc (base 16) in base 8?
10774
2431 (base 5) to base 6
1410
Convert -1d32 (base 14) to base 11.
-4011
What is -200201201 (base 3) in base 16?
-3556
32020 (base 5) to base 2
100001010111
What is -15bb (base 12) in base 7?
-10361
Convert 111222020 (base 3) to base 6.
115053
Convert 122021102 (base 3) to base 2.
11000100110001
-111111 (base 5) to base 3
-12100200
Convert 63521 (base 8) to base 9.
40247
What is 17659 (base 10) in base 16?
44fb
What is 3041 (base 9) in base 7?
6325
What is -311 (base 4) in base 2?
-110101
Convert -2022010 (base 4) to base 11.
-6703
Convert 11012021 (base 3) to base 10.
3058
-66a3 (base 12) to base 5
-330410
What is -1034 (base 7) in base 11?
-305
-94b1 (base 13) to base 3
-1001020201
What is c41 (base 14) in base 12?
1489
674 (base 8) to base 5
3234
Convert 1766 (base 8) to base 4.
33312
-20443 (base 8) to base 15
-27a8
-100 (base 16) to base 7
-514
What is -103130 (base 4) in base 15?
-57e
Convert 25201 (base 10) to base 8.
61161
Convert -1430414 (base 5) to base 6.
-351221
-272 (base 16) to base 3
-212012
What is 97b (base 13) in base 3?
2020010
Convert -100000 (base 2) to base 16.
-20
What is -212152 (base 8) in base 7?
-413206
What is 421506 (base 7) in base 11?
4a622
What is 478 (base 14) in base 2?
1101111010
Convert 2147b (base 12) to base 9.
66155
What is -3240 (base 5) in base 15?
-1ea
Convert -10112001 (base 3) to base 14.
-d14
What is -c69 (base 13) in base 15?
-960
Convert 10102202 (base 3) to base 8.
4710
23887 (base 10) to base 13
ab46
What is -3554 (base 11) in base 10?
-4657
-409 (base 15) to base 16
-3
|
{
"pile_set_name": "DM Mathematics"
}
|
5, -3, 2/13, -10?
-10
What is the second smallest value in -0.418986, -5/6, 0.3?
-0.418986
Which is the second biggest value? (a) 19 (b) -157.67 (c) -6/25
c
Which is the fourth smallest value? (a) -3 (b) -11 (c) -2/3 (d) 0 (e) 1173591 (f) 1/4 (g) -0.2
g
What is the biggest value in -1, -5557, 0.4, 206?
206
What is the second smallest value in -3/9718, -0.1, -93?
-0.1
What is the third smallest value in -1/8, -4/5, -8, 3, 1/237, 5, -1?
-4/5
What is the third biggest value in 4/33, 72, 5/397?
5/397
Which is the seventh smallest value? (a) -4 (b) -3/5 (c) 2/13 (d) 1/2 (e) -1 (f) 0.337 (g) 10
g
What is the third smallest value in 12, -2/11, 80631?
80631
Which is the third biggest value? (a) -15 (b) -136.47 (c) 96 (d) 1/5
a
Which is the second smallest value? (a) -157400/9 (b) 1 (c) -2
c
Which is the fourth smallest value? (a) -2 (b) 198 (c) -2/13 (d) -8 (e) -4/9 (f) 195 (g) -1/3
g
What is the third biggest value in 2/5, 3, 0, 0.05, -63.13, 6?
2/5
What is the smallest value in -3, -639, -225, 1, -0.3?
-639
Which is the sixth smallest value? (a) 0 (b) -0.1 (c) -2/19 (d) 37579 (e) 2/7 (f) -3
d
What is the third biggest value in -63, -7, 0.5, -7/3, 11/2?
-7/3
Which is the third biggest value? (a) -11 (b) -2 (c) 72 (d) -3 (e) 70
b
Which is the smallest value? (a) -24 (b) 0.53 (c) -1/5 (d) 0.1 (e) -1016
e
What is the sixth smallest value in 2.9, -0.4, 4, 19.9, 2/13, -3, 0?
4
Which is the biggest value? (a) -2 (b) -23922.77 (c) 0.11 (d) 4 (e) -0.2
d
Which is the biggest value? (a) 25 (b) 2/13 (c) 95 (d) -2.8 (e) 17 (f) -3
c
Which is the third smallest value? (a) -1/6 (b) 2 (c) -11.12 (d) -0.064
d
Which is the third smallest value? (a) -3121/351 (b) 31 (c) -0.5
b
Which is the fifth biggest value? (a) 43.6 (b) -0.5 (c) 2 (d) -10 (e) 2/9
d
Which is the second biggest value? (a) -7/17 (b) -826/239 (c) -5
b
Which is the second smallest value? (a) 0.1 (b) -4 (c) 0 (d) -14 (e) 344.61 (f) 5
b
What is the sixth smallest value in -1, 1, 1.449, -2, -846, 3?
3
What is the second biggest value in -0.6, 1042, 188?
188
Which is the second biggest value? (a) 2/13 (b) -3 (c) -0.4 (d) 4 (e) -2467 (f) 0
a
What is the second smallest value in -5, 2.1, 0.13, -7.1?
-5
What is the fifth smallest value in -0.2, -1, 0.1, -18653/27, 1/11?
0.1
What is the second biggest value in -2/7, 5/171, -2773, -0.2?
-0.2
What is the sixth smallest value in -192, -3/11, 6/13, -1, -51, 0, -0.1?
0
What is the smallest value in 0.2, -7575, -843, -0.2?
-7575
What is the smallest value in -9, -1/6, 94.35, 1/6, 3, -3?
-9
What is the second smallest value in 25/2, 0, -21, -51, 5, -6?
-21
Which is the sixth biggest value? (a) 4.3 (b) -10 (c) -1 (d) 1/7 (e) 6 (f) 3
b
Which is the sixth smallest value? (a) 576 (b) 123 (c) -0.1 (d) -1.54 (e) -2/3 (f) -3
a
What is the smallest value in 3/4, 122.128, 19?
3/4
Which is the sixth smallest value? (a) 7.197 (b) 2 (c) 6 (d) -59/6 (e) 0 (f) -5
a
Which is the smallest value? (a) -1 (b) 20 (c) -2/3 (d) -0.2 (e) -0.3 (f) 13 (g) 1/4
a
What is the third smallest value in -1.4, -1/5, 3, 19026?
3
What is the fifth biggest value in -3, 3, 18, -4, 13, -0.6?
-3
What is the fifth smallest value in 225, -2/6721, 56, -1/5, 2?
225
What is the biggest value in 22, 4/5, -11/9, 374/21?
22
Which is the second smallest value? (a) -2/3 (b) -1147 (c) -1 (d) 4 (e) 0.5 (f) 0.13 (g) 109
c
What is the smallest value in 2/18299, 2/5, -4211?
-4211
Which is the fifth smallest value? (a) -18 (b) 2/3 (c) 2 (d) -2/23 (e) -0.013104 (f) -0.2
b
What is the smallest value in 2/5, 6.5, 0.3, -1/28, 0, 8?
-1/28
What is the third smallest value in -366, 3.5, 2/35?
3.5
What is the third smallest value in 4250, 0, -3, 0.8, 7?
0.8
Which is the sixth biggest value? (a) 2.8 (b) -0.0513 (c) 5 (d) 2 (e) -24/23 (f) 0.3
e
Which is the third biggest value? (a) -5 (b) 21588 (c) 2.27
a
Which is the fourth biggest value? (a) 2/51 (b) -0.3 (c) -82.5 (d) -2.6
c
What is the smallest value in -1/9, -121/2, 1977?
-121/2
What is the second biggest value in 17, 1/3, 1/6, -35928?
1/3
What is the biggest value in 0.02, 0.1, 1/497, -5, 49, 0.3?
49
What is the third smallest value in -5/3, 0.1, 726, -136, 0.5, -0.02, 4?
-0.02
What is the smallest value in 5, -1423/39, -3?
-1423/39
Which is the fifth biggest value? (a) 0.5 (b) 107 (c) -49/4 (d) -22.99 (e) 0
d
Which is the third smallest value? (a) -1 (b) -243 (c) 9 (d) -9 (e) -2
e
What is the smallest value in -2, -199111, 7?
-199111
What is the fifth smallest value in 2/25, 0.3, -10/77, 2.71, -3/8, 2/11?
0.3
What is the second biggest value in 345, -1030, 40?
40
What is the fifth smallest value in 4, 0, 32, -1.8, -0.9, 3?
4
Which is the second biggest value? (a) 4 (b) 1/546 (c) 6/5 (d) 1/8 (e) 1
c
What is the biggest value in 158, 30392, -1/7, 2?
30392
What is the smallest value in 55, 1045, -18?
-18
What is the biggest value in 48608, -1/4, 2.7?
48608
What is the third smallest value in 1/9, 2000, -169, -2/19?
1/9
What is the sixth biggest value in -0.2, -19, -9, 1/13, 4, -2/639?
-19
Which is the biggest value? (a) -2/5 (b) 8 (c) 0.7 (d) 5 (e) 19/1990 (f) 0.4
b
Which is the third smallest value? (a) 13/3 (b) 48 (c) 60.415 (d) 3
b
Which is the seventh smallest value? (a) 11 (b) -4 (c) 0 (d) 0.5 (e) 2/13 (f) 13/3 (g) 2/29
a
What is the third biggest value in 1/5, -134, -4/5, 5, 0.08, 6/121?
0.08
What is the third biggest value in 7, 12494, 0.2, 2/29?
0.2
Which is the smallest value? (a) -114 (b) -4952 (c) -3.5
b
Which is the smallest value? (a) -1/6 (b) 41 (c) 3/3095 (d) -3/2 (e) 1/4 (f) -2
f
What is the second smallest value in 15, -12.447, -0.33?
-0.33
Which is the third smallest value? (a) 5 (b) 2/23 (c) 226/11 (d) 0 (e) -3/2 (f) 0.24 (g) -3
d
What is the biggest value in 45.164794, -1/3, -5?
45.164794
Which is the smallest value? (a) -0.06 (b) 0.29 (c) -211/76 (d) -0.08
c
What is the fifth biggest value in 0.1, -5/31, 7, -20, 1/8?
-20
Which is the second biggest value? (a) -0.04 (b) -1/3 (c) 3/4 (d) 0.09 (e) -0.3 (f) -5 (g) -4/7
d
Which is the smallest value? (a) 53 (b) -4322/5 (c) -5
b
Which is the biggest value? (a) 34/685 (b) 256.4 (c) -3/7
b
Which is the third biggest value? (a) -9 (b) -7/24 (c) -0.5 (d) 1557 (e) 0
b
What is the third biggest value in -155080, 4, -38?
-155080
What is the second biggest value in -0.011, 3/4, 2122/3, 3?
3
Which is the sixth smallest value? (a) 2 (b) 0.2 (c) -8.9 (d) -3 (e) 0.06 (f) -2/9 (g) 0.5
g
Which is the sixth biggest value? (a) 3/4 (b) 3/7 (c) -1 (d) -8/11 (e) -185 (f) -0.1
e
What is the smallest value in 15, -0.008, 0.3, 2, 1/7, -210?
-210
What is the biggest value in 2/7, 2/13, 3/4919, -2, 2, 1/5, 0?
2
What is the third smallest value in -0.05, -5, -4, 2151, -0.321?
-0.321
What is the third smallest value in -4, 0.1, 3, 4/109, -1023, 4?
4/109
Which is the seventh smallest value? (a) 3 (b) -1 (c) 0.3 (d) 8 (e) 0.9 (f) -2/309 (g) -0.7
d
Which is the third biggest value? (a) -2 (b) 4 (c) -0.91 (d) -2/21 (e) -25 (f) 40
d
What is the second smallest value in 7, -39, -2, 25, 9, 1/3?
-2
What is the biggest value in -623, 4, 56, -6, -2/3?
56
What is the third smallest value in -165.5, -1/29, -1, -1/2?
-1/2
Which is the fifth smallest value? (a) -9/2 (b) -106/15 (c) -0.1 (d) -3 (e) 1648
e
What is the third biggest value in -1/9, 191, 7, -4/17, -2, -1/3?
-1/9
Which is the second smallest value? (a) 361 (b) 33 (c) -107/5 (d) -52
c
What is the third smallest value in -1/3, 5, -34, -12, -1.14, -2/9, 47?
-1.14
What is the smallest value in 246, -13, -4, 1/5, 4, 12?
-13
What is the third smallest value in -1/88, -1.9, -0.7, -4003?
-0.7
Which is the third smallest value? (a) -5434 (b) -4 (c) -29/7
b
Which is the fifth smallest value? (a) 5 (b) 2/5 (c) -48/43 (d) -3 (e) 88 (f) 2 (g) -4
f
Which is the fourth smallest value? (a) 150/11 (b) -8 (c) 3 (d) -232 (e) 0.2
c
What is the smallest value in 35323, -0.58, -3, 2/5?
-3
What is the fifth smallest value in 39, 0, 0.1, -3, 1, -11, 3931?
1
Which is the second biggest value? (a) 3101934 (b) 0.048 (c) 3
c
Which is the third biggest value? (
|
{
"pile_set_name": "DM Mathematics"
}
|
0005
What is 0.000002337 rounded to seven decimal places?
0.0000023
What is 0.00001386 rounded to 7 dps?
0.0000139
What is -0.000050931 rounded to 7 dps?
-0.0000509
What is 0.000072 rounded to 5 decimal places?
0.00007
Round -0.000005918 to 6 decimal places.
-0.000006
Round -178510000 to the nearest one million.
-179000000
Round -131985 to the nearest one thousand.
-132000
What is -0.019116 rounded to three dps?
-0.019
Round 0.0000000423 to 7 dps.
0
What is -621930 rounded to the nearest ten thousand?
-620000
Round -21973000 to the nearest one million.
-22000000
What is 0.2955 rounded to 2 dps?
0.3
Round 4.7014 to 0 decimal places.
5
Round -0.00001458 to seven decimal places.
-0.0000146
What is -67.17 rounded to 0 dps?
-67
Round 91.262 to the nearest integer.
91
Round 1135 to the nearest ten.
1140
What is -0.00017732 rounded to five decimal places?
-0.00018
What is 3942 rounded to the nearest 1000?
4000
Round -0.000003262 to six decimal places.
-0.000003
Round 281630 to the nearest 10000.
280000
Round -0.010069 to four decimal places.
-0.0101
Round -0.00004291 to 5 dps.
-0.00004
Round 0.00003149 to 5 dps.
0.00003
Round 0.00001379 to 5 decimal places.
0.00001
Round -0.37311 to 3 dps.
-0.373
What is 121680 rounded to the nearest 1000?
122000
Round -0.0000063987 to six decimal places.
-0.000006
Round -0.002043 to three decimal places.
-0.002
Round 0.00558 to 2 decimal places.
0.01
Round 21.53 to the nearest ten.
20
What is -0.08858 rounded to three dps?
-0.089
Round -0.0047821 to 3 decimal places.
-0.005
Round -0.014024 to three dps.
-0.014
What is 0.000427829 rounded to 6 decimal places?
0.000428
What is -0.021179 rounded to four decimal places?
-0.0212
What is 309.33 rounded to the nearest ten?
310
What is 16027.7 rounded to the nearest 10?
16030
What is -17.68 rounded to the nearest 10?
-20
What is -0.002479 rounded to four decimal places?
-0.0025
Round 0.0007201 to five decimal places.
0.00072
What is 103.424 rounded to 0 decimal places?
103
Round -0.0122237 to three dps.
-0.012
Round -3.218 to 1 dp.
-3.2
What is 0.00976 rounded to two dps?
0.01
What is 18258300 rounded to the nearest 100000?
18300000
Round -34898 to the nearest 10000.
-30000
What is 0.00000016235 rounded to seven decimal places?
0.0000002
What is 0.0066 rounded to 2 decimal places?
0.01
Round -33.42 to 0 decimal places.
-33
Round 0.14715 to 3 dps.
0.147
What is -185.3 rounded to the nearest one hundred?
-200
What is -0.2091 rounded to two dps?
-0.21
What is 0.00002175 rounded to 6 dps?
0.000022
Round 66.27 to the nearest integer.
66
What is -58710 rounded to the nearest 10000?
-60000
What is -167440000 rounded to the nearest 1000000?
-167000000
What is 35.341 rounded to 1 decimal place?
35.3
Round 0.0000198098 to 6 decimal places.
0.00002
What is 0.00000069196 rounded to 7 dps?
0.0000007
What is -0.004395 rounded to 4 dps?
-0.0044
Round 0.00030486 to four dps.
0.0003
What is 0.303969 rounded to two decimal places?
0.3
What is 208700 rounded to the nearest ten thousand?
210000
What is -123280 rounded to the nearest ten thousand?
-120000
Round 171.568 to 0 dps.
172
Round 9.896 to the nearest integer.
10
Round 1.814 to 1 dp.
1.8
What is -0.000008198 rounded to 6 dps?
-0.000008
Round -129370000 to the nearest 1000000.
-129000000
What is 3.674 rounded to one dp?
3.7
Round 0.020259 to 4 dps.
0.0203
What is -254.35 rounded to 0 dps?
-254
What is -0.0000033855 rounded to seven decimal places?
-0.0000034
What is -89160 rounded to the nearest one thousand?
-89000
What is 152.8 rounded to the nearest 10?
150
Round -1108.19 to the nearest 10.
-1110
Round -22488 to the nearest 100.
-22500
Round 0.000060885 to five decimal places.
0.00006
What is -0.4016 rounded to one decimal place?
-0.4
Round -0.37966 to three decimal places.
-0.38
What is -0.14474 rounded to 2 decimal places?
-0.14
Round -29.81 to zero dps.
-30
What is -0.000044773 rounded to 6 decimal places?
-0.000045
Round 0.4269 to 1 dp.
0.4
What is 0.0647742 rounded to 2 decimal places?
0.06
Round -0.52147 to one decimal place.
-0.5
Round -17200 to the nearest 10000.
-20000
What is -5340000 rounded to the nearest 100000?
-5300000
Round 535700 to the nearest 100000.
500000
Round -6.9873 to 0 dps.
-7
Round -207717 to the nearest ten thousand.
-210000
What is 73860 rounded to the nearest 1000?
74000
Round -144360 to the nearest ten thousand.
-140000
Round 0.0000017568 to 6 decimal places.
0.000002
Round 352520 to the nearest one hundred thousand.
400000
What is -21.031 rounded to 1 decimal place?
-21
What is -35760 rounded to the nearest 1000?
-36000
Round -69440 to the nearest one hundred thousand.
-100000
Round -103910000 to the nearest 1000000.
-104000000
What is 0.0000074418 rounded to 5 dps?
0.00001
What is 6105 rounded to the nearest 100?
6100
Round 91.02 to zero decimal places.
91
What is 877400 rounded to the nearest 100000?
900000
What is -2983.28 rounded to the nearest ten?
-2980
What is 0.6 rounded to 0 dps?
1
Round -88.7 to the nearest one hundred.
-100
Round -0.000276 to 4 dps.
-0.0003
Round -0.077954 to two decimal places.
-0.08
Round -28.93 to 0 dps.
-29
What is 0.001401 rounded to 3 decimal places?
0.001
What is -5.49 rounded to the nearest 10?
-10
Round -58115000 to the nearest one hundred thousand.
-58100000
Round -0.0000008253 to 7 dps.
-0.0000008
Round 0.03 to two dps.
0.03
What is -0.000159804 rounded to six dps?
-0.00016
Round 0.064021 to 2 dps.
0.06
Round 615000 to the nearest 1000000.
1000000
Round 87216000 to the nearest 1000000.
87000000
What is 3790 rounded to the nearest one thousand?
4000
What is -428600 rounded to the nearest 100000?
-400000
Round -2698 to the nearest one hundred.
-2700
What is 0.071509 rounded to 2 dps?
0.07
What is -0.0000711 rounded to six decimal places?
-0.000071
Round 0.0000062334 to six decimal places.
0.000006
What is -0.00074 rounded to 4 decimal places?
-0.0007
Round -0.116304 to two decimal places.
-0.12
Round 473970 to the nearest 10000.
470000
What is 163 rounded to the nearest ten?
160
Round -0.00061186 to five decimal places.
-0.00061
Round -44110000 to the nearest one million.
-44000000
What is 152.09 rounded to zero decimal places?
152
What is 0.000001344 rounded to seven decimal places?
0.0000013
Round -44125000 to the nearest one hundred thousand.
-44100000
Round -10.8352 to 1 decimal place.
-10.8
What is -0.0701 rounded to one decimal place?
-0.1
What is -0.21249 rounded to 2 decimal places?
-0.21
What is 749.8 rounded to the nearest one hundred?
700
Round 0.000012292 to six decimal places.
0.000012
Round 7678 to the nearest one hundred.
7700
What is 0.00396 rounded to 3 decimal places?
0.004
What is 0.06049 rounded to 2 dps?
0.06
What is -23970000 rounded to the nearest 1000000?
-24000000
Round 0.1154 to 2 dps.
0.12
What is -0.00001888 rounded to five dps?
-0.00002
Round -1583200 to the nearest one hundred thousand.
-1600000
Round -1627000 to the nearest one million.
-2000000
What is 0.000020079 rounded to 7 dps?
0.0000201
Round -3750 to the nearest one hundred.
-3800
Round -0.000016357 to six dps.
-0.000016
What is 0.0158596 rounded to 4 dps?
0.0159
Round 0.0046032 to five decimal places.
0.0046
What is 10.68 rounded to zero decimal places?
11
What is -9933000 rounded to the nearest one hundred thousand?
-9900000
What is 0.41666 rounded to one dp?
0.4
What is -0.0003424 rounded to 4 dps?
-0.0003
What is 0.21852 rounded to 3 decimal places?
0.219
Round -0.071829 to three dps.
-0.072
What is -0.236 rounded to 2 decimal places?
-0.24
Round -9140 to the nearest 1000.
-9000
Round 245560 to the nearest 1000.
246000
What is 7413 rounded to the nearest one hundred?
7400
Round 94.86 to the nearest integer.
95
What is 0.00000481 rounded to seven dps?
0.0000048
What is -0.14209 rounded to two decimal places?
-0.14
What is 2.5868 rounded to two dps?
2.59
Round 0.00196698 to 4 decimal places.
0.002
What is -0.00000759 rounded to 5 dps?
-0.00001
What is -63441 rounded to the nearest 10000?
-60000
What is -0.07688 rounded to three dps?
-0.077
What is 267.5 rounded to the nearest 100?
300
Round -0.04083 to 4 decimal places.
-0.0408
Round -0.0683 to 2 decimal places.
-0.07
What is 0.0002459 rounded to five decimal places?
0.00025
Round 0.06776 to three decimal places.
0.068
Rou
|
{
"pile_set_name": "DM Mathematics"
}
|
es?
-0.00001
Let u = -0.07 + 0.01. Let c = u + 0.0597. What is c rounded to 3 dps?
0
Let i = -4 + 3. Let q = 0.98 + i. Let z = -0.019998 - q. What is z rounded to 5 decimal places?
0
Let r = 1117.79 + -1126. What is r rounded to the nearest integer?
-8
Let x = -31.4921451 + 10.49214565. Let p = 21 + x. What is p rounded to seven dps?
0.0000006
Let y be 11700006/(-9) + (-16)/(-24). Round y to the nearest one million.
-1000000
Let i = 37 + -36.99999961. What is i rounded to 7 dps?
0.0000004
Let i = -414.23196 + 414.52595881. Let m = i + -0.294. What is m rounded to seven decimal places?
-0.0000012
Let s = -1.05067 + 0.05047. Let z = 1 + s. Round z to three dps.
0
Let x be (-2)/(-3) - 11/3. Let h(c) = 8*c**2. Let f be h(x). What is f rounded to the nearest ten?
70
Let y = 0.42343 - -19.57357. Let h = -20 + y. What is h rounded to three decimal places?
-0.003
Let s = -19 - -18.99999972. Round s to seven decimal places.
-0.0000003
Let k = -0.03 + 0.03. Let b = k + -52.2. Let p = -57 - b. What is p rounded to the nearest integer?
-5
Let h = 45621.9348094 - 45535.9348. Let i = -54 - -140. Let w = h - i. Round w to 6 dps.
0.000009
Let q = -3 + 1. Let d = -7 - q. Let s = d - -3. What is s rounded to the nearest 10?
0
Let y = -1495229167 + 1495229098.9673931. Let o = y + 0.0380069. Let h = o - -68. What is h rounded to 3 dps?
0.005
Suppose 3*l + 12 = -3*m, -4*l + 2*m - 1 = -9. Suppose l*z + 1540000 = -2*z. What is z rounded to the nearest one hundred thousand?
-800000
Let u = -3 + 2.9957. What is u rounded to 3 dps?
-0.004
Let o(k) = -195556*k - 4. Let b be o(-9). What is b rounded to the nearest one hundred thousand?
1800000
Let d = -77.99965 - -78. What is d rounded to 4 decimal places?
0.0004
Let v = -63.0292 - -63. Round v to three dps.
-0.029
Let s = 0.311 - -145.689. Let k = s + -146.00123. Round k to 4 decimal places.
-0.0012
Let u = 1118.7 - -112016.3. Let s = -113163.9924 + u. Let p = -29 - s. Round p to three decimal places.
-0.008
Let p = 0.5414356 + 6.45856515. Let c = 7 - p. Round c to seven dps.
-0.0000008
Let f = -189.63 + 191. What is f rounded to one decimal place?
1.4
Suppose 4*c - 9 = 3*a, 4*a - 3*c = -0*a - 12. Let s be (a/(-2))/((-2)/(-4)). Suppose 0 = -s*f - f + 16000. Round f to the nearest 10000.
0
Suppose -h + 1 = 3. Let g be 22*(h + 1)/(-1). What is g rounded to the nearest 10?
20
Let v be (2 - 1) + -7 + -3099994. Round v to the nearest 1000000.
-3000000
Suppose -4 = 3*t + 2. Let n(x) = x**3 + 2*x**2 - x - 2. Let p be n(t). Suppose p = -5*u - 0*u - 400. What is u rounded to the nearest ten?
-80
Let m = -3 - -7. Let b = m - 4.00082. What is b rounded to four dps?
-0.0008
Let p = 153.2 - 289.1. Let s = -125 - p. Let m = -10.89999921 + s. What is m rounded to seven decimal places?
0.0000008
Let s = -654.2 - -657.201. Let a = s + -3. What is a rounded to 3 dps?
0.001
Suppose 4 = -2*b - 4. Let w(c) be the second derivative of 1033*c**3/2 - 2*c**2 - 3*c. Let z be w(b). Round z to the nearest one thousand.
-12000
Let c = -97.765 + 53.682. Let q = 0.083 + c. Let g = 44.00000201 + q. What is g rounded to 7 dps?
0.000002
Let f = -64956 + 2218708. Let o = -4853752 + f. Round o to the nearest one million.
-3000000
Let d = -66.0000288 + 66. What is d rounded to 5 dps?
-0.00003
Suppose 0 = s + 2*g + 690008, -349773 + 1039785 = -s - 3*g. Round s to the nearest 100000.
-700000
Suppose -11 - 1 = -4*s. Suppose -5*i + 0*i - 4*p = -1, s*i - 1 = -2*p. Let m(n) = -5901*n + 1. Let w be m(i). What is w rounded to the nearest one thousand?
-6000
Suppose 5*u - z - 34436 = -3105, 0 = -z + 4. Let n be (3 - 2) + (u - 1). Let l = -967 + n. What is l rounded to the nearest 1000?
5000
Suppose 2*t + 29 = -5. Let i = t - -134. Round i to the nearest 10.
120
Let v(k) = -5*k**2 + 11*k + 24. Let m be v(11). What is m rounded to the nearest 1000?
0
Let u = -61 + -25. Let c = -1258.9 - -1334. Let h = u + c. What is h rounded to 0 dps?
-11
Let o = 11.902 - 12. Let d = 0.0979949 + o. What is d rounded to 6 dps?
-0.000005
Let o = 4 - 4. Suppose -2*x + 3739876 + 6460124 = o. Round x to the nearest 1000000.
5000000
Let n = 54 - 53.53. What is n rounded to 1 dp?
0.5
Suppose -s + 2560 = -0*s. What is s rounded to the nearest 100?
2600
Let n be ((-180)/(-27))/((-1)/(-33000)). What is n rounded to the nearest one hundred thousand?
200000
Let i = 0 - -4. Suppose 5*u + 5*l = 750000, 3*u + i*l = -0*l + 450000. What is u rounded to the nearest one hundred thousand?
200000
Suppose -8*n + 13*n - 30 = 0. Suppose 0*l + 3*l - 3*x + 2399991 = 0, 0 = 2*x + n. What is l rounded to the nearest 100000?
-800000
Let v be (-1 + -1)/(1/(-8)). Let q(o) = 21*o**3 + 9*o**2 - 20*o. Let y be q(v). Round y to the nearest 10000.
90000
Suppose -5*g + 3*x = -0*x - 84781181, 67824967 = 4*g + 5*x. Suppose 4*r = 5*r - 4. Suppose -r*i + g = -10243762. Round i to the nearest 1000000.
7000000
Let u = 7.09 + -0.09. Let j = 0.00978 + -7.01138. Let f = j + u. What is f rounded to 3 decimal places?
-0.002
Suppose 3*b = -2*v + 3*v - 17, -2*b = 2*v + 14. Let r be 86002/(b/(-2 - 1)). Let g be (-1)/5 + r/5. Round g to the nearest one thousand.
9000
Suppose -r = 5*g - 4, -3*g - 47 = -5*r - g. Let p = -1 + r. Let h(w) = 12*w**3 - w**2 + 2*w + 4. Let m be h(p). What is m rounded to the nearest one thousand?
6000
Let i = 6202434 - -897566. Round i to the nearest 1000000.
7000000
Suppose 5*p - p = 100000. What is p rounded to the nearest 10000?
30000
Let i = -0.020254 - -24390.020254. Let f = 24390.39996 - i. Let d = 0.4 - f. What is d rounded to four dps?
0
Let v = 37.8 - 41. Let s = v + 3.1935. Round s to three dps.
-0.007
Let n = 154630 - -107370. What is n rounded to the nearest 10000?
260000
Let q = 6 + -3. Suppose 2*s + q + 4 = -r, 20 = -2*r + 2*s. Round r to the nearest integer.
-9
Suppose -5*u - 1800 = -0*u. What is u rounded to the nearest one hundred?
-400
Suppose 0*h - 3*s + 23 = h, -3*s = -h - 7. Let w = h - 5. Suppose 0 = -w*t + t - 8800000. Round t to the nearest 1000000.
-4000000
Let j = 31 - 21. Suppose 2*z = 2*x - 10, j*z + 10 = 5*z + 2*x. Round z to four dps.
0
Let h be (61/2)/(1/(-15514)). Let w = 153177 + h. Round w to the nearest 100000.
-300000
Suppose -38569286 + 16069286 = 5*c. What is c rounded to the nearest 1000000?
-5000000
Suppose 4*w + 3152 = 352. Round w to the nearest 1000.
-1000
Let g = -37.993 + -0.007. Let b = g + 38.21. Round b to one dp.
0.2
Let f(s) = s**2 + 8*s + 10. Let a be f(-7). Suppose 0 = a*h + 52075 - 18175. What is h rounded to the nearest one thousand?
-11000
Let p be 5*54/15*1. Let j be (-1015204)/p - 6/(-27). Let i be j/1*(-50)/(-6). What is i rounded to the nearest 100000?
-500000
Let y be 4 - (2/(-1) - -1). Suppose 2*j - 3*l - 1250 = 2*l, 0 = -j - y*l + 625. Suppose 0*u - 5*n = 4*u + j, u + n = -155. Round u to the nearest one hundred.
-200
Suppose 5*z + 7868 - 1718 = 0. What is z rounded to the nearest 100?
-1200
Let l = -29339 - -73339. What is l rounded to the nearest 10000?
40000
Let j = -126 - -274. Let d = j - 148.00134. Round d to 4 decimal places.
-0.0013
Let g = -20 + 8. Let l = g + 12.4. Round l to zero decimal places.
0
Let h = -62.00036 - -62. What is h rounded to four dps?
-0.0004
Let q be (-1 - -1)/2 - 2. Let t(o) = 7*o**3 + 2*o**2 + o - 2. Let j be t(q). Round j to the nearest 10.
-50
Let q = 5.8031 + -5.8. Round q to 3 decimal places.
0.003
Let o = -0.061 + 27.061. Let m = 20.5 - o. Round m to zero dps.
-7
Let q = 14 - 18.8. Round q to 0 dps.
-5
Let s = 0 + 4. Let l = 4 - s. What is l rounded to 1 dp?
0
Let k be -450*-186*(-100)/9. Round k to the nearest one hundred thousand.
-900000
Let r = 2.5902 - -27.4163. Let q = r - 30. Round q to 3 decimal places.
0.007
Suppose 5*w = w. Let f = 0 - w. Round f to 5 decimal places.
0
Let o be 30/(-20)*(-10)/(-3). Let w(l) be the second derivative of 383*l**5/20 - 5*l**4/12 - l. Let y be w(o). What is y rounded to the nearest ten thousand?
-50000
Let y(u) = 11 + 3*u + u + 10*u + 13*u**2 - 4*u. Let g be y(8). Suppose f = -343 + g. Round f to the nearest 100.
600
Let a be 760/(0 + (-2)/(-1000)). Suppose -x = 4*x - a. What is x rounded to the nearest ten thousand?
80000
Suppose 4*x - 4*t - 376592 = -2*t, -188284 = -2*x - 2*t. Suppose -2*p = 4*i + 119990, -55864 = 5*i - 2*p + x. Round i to the nearest 100000.
0
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
2
Suppose -i - 2*a + 2 = 0, i + i - 4*a = 36. Suppose -1225 = i*y - 17*y. Calculate the remainder when y is divided by 11.
10
Suppose -7*v + 2 = -12. Suppose -101 = -5*c - v*w, 19*c - 5*w = 15*c + 61. Suppose 2*n = 66 + 8. What is the remainder when n is divided by c?
18
Let c = -2 + 65. Let k = 41 + c. Let j(s) = s**3 + 9*s**2 - 14*s - 5. Calculate the remainder when k is divided by j(-10).
34
Let u be 2/(-4) + (-9)/6 + 12. Suppose 5*l - 309 = -3*d, -d = l - u - 95. What is the remainder when d is divided by 46?
16
Suppose 0 = -12*j + 16*j - 3580. Let l = j + -275. Calculate the remainder when l/30 - 2/3 is divided by 12.
8
Let w(k) = 2*k**2 - 23 - 3*k**3 + 5 - 3*k**2 + 14 - 5*k. Calculate the remainder when 112 is divided by w(-2).
8
Let z(n) = 4*n**2 - 177*n + 2040. Suppose -101 - 103 = -3*a. What is the remainder when z(29) is divided by a?
67
Let n(b) = 13*b**2 - 2164*b + 378. Calculate the remainder when n(167) is divided by 219.
14
Calculate the remainder when 539565/1495 - 4/(-46) is divided by 116.
13
Suppose -2949 = 110*q - 12418 - 11101. Suppose 0 = -3*i - 17 + 149. Calculate the remainder when q is divided by i.
11
Let r = -657 + 666. Let g(i) = -3*i + 2*i + 5*i + 26 + 0*i. What is the remainder when g(r) is divided by 23?
16
Let c = -28 + 37. Suppose 2*z + w - c = 0, -z + w + 3 + 6 = 0. Calculate the remainder when 3 + (7/(-4)*-4 - 0) is divided by z.
4
Suppose m + 15 = 45. Let x(d) = 35*d + 139. Let r be x(-3). Suppose -5*w + 38 = s, s = r - 36. Calculate the remainder when m is divided by w.
6
Suppose 4*w = 5*z + 22197, 2*w + 3*z - 11100 = 5*z. Suppose -17*o - w = -26*o. Calculate the remainder when o is divided by 20.
17
Let f(q) = -q + 27. Let h(r) = -60*r + 7. Calculate the remainder when h(-2) is divided by f(-1).
15
Let s = 176 + -118. Suppose -10*p + s = -172. Calculate the remainder when 90 is divided by p.
21
Let x = 618 + -92. Let j(u) = 11*u**2 + 78*u + 73. What is the remainder when x is divided by j(-7)?
64
Let z(b) = -261*b**3 - b. Let m be z(-1). Suppose -3*i + 267 = 3*d, 0 = -3*i - 4*d + 6*d + m. Calculate the remainder when i is divided by 9.
7
Suppose -29*h = -16*h + 104. What is the remainder when (-827)/(-8) - (-3)/h is divided by 19?
8
Let n(c) = 5*c - 11. Let d be n(3). Suppose 323 = 4*x + d*s + 35, 5*x - 358 = -4*s. Suppose x - 42 = 2*p. What is the remainder when p is divided by 13?
1
Suppose -k + 2363 = 16*k. Let b = -46 + k. Suppose -95*d + 98 = -b*d. What is the remainder when d is divided by 17?
15
Suppose -5*a = -14*i + 11*i - 593, 8*i = -5*a + 527. Calculate the remainder when 4816 is divided by a.
101
Calculate the remainder when 381 is divided by 2 - ((-19723)/99 + 4/18 + 0).
180
Let n(z) = -6*z + 125. Let r be n(0). Let l = r + -124. Calculate the remainder when (-4 - l) + 68/1 is divided by 22.
19
Suppose -2*u + p + 13 - 3 = 0, 10 = u + 2*p. Suppose 0 = 2*x - u - 4. Let s = x + 16. Calculate the remainder when s is divided by 11.
10
Let c = 463 + -241. Let d = 95177 - 95174. Calculate the remainder when c is divided by d.
0
Let k(l) = 0*l - 2 - 13*l - 6*l. Let q be k(-6). Suppose -63 = -5*u + q. What is the remainder when u is divided by 12?
11
Let u be ((-10)/4)/(3*(-7)/126). Suppose u = -0*f - 3*f. Calculate the remainder when 21 is divided by 15/4*1/f*-20.
6
Suppose 2*d = -a - 503, 5*d + 4*a - 494 = -1750. Let o = d - -271. What is the remainder when 57 is divided by o?
0
Let d(i) = 24*i**2 - 134*i - 559. What is the remainder when d(-4) is divided by 84?
25
Let s = -9 - 28. Let m = s - -43. Suppose -m*d + 16 = -5*d. Calculate the remainder when 27 is divided by d.
11
Calculate the remainder when 45 - 1 - ((10 - -5) + -17) is divided by 3/(-2)*(20 - 26).
1
Let g = 5548 - 5544. What is the remainder when 48 is divided by g?
0
Let p(d) = d**3 + 50*d**2 + 262*d + 5. Calculate the remainder when 3066 is divided by p(-44).
90
Calculate the remainder when -8 + (40/100 - (-3696)/10) is divided by 132.
98
Let f(c) = -c**2 + 5*c + 26. Let p be f(-3). Calculate the remainder when 87 is divided by 0 + 5 - (-24 - p).
25
Suppose 0 = 5*f - 5*p - 105, f + 5*p + 41 = 2*f. Calculate the remainder when 505 is divided by f.
9
Suppose 0 = -4*d, 20 = 7*m - 2*m - 3*d. What is the remainder when (-1)/m - (6025/20)/(-5) is divided by 17?
9
Suppose -167*n = 10*n - 13983. Calculate the remainder when 2163 is divided by n.
30
Let c(f) = -83*f**3 - f**2 + f - 1. Let m be c(1). Let z be (-9)/6 - (-2 + m/8). Suppose 3*b = z*b - 1616. Calculate the remainder when b is divided by 51.
49
Suppose 20*v = 1022 + 636 - 338. Let n(m) be the third derivative of m**5/60 + 5*m**4/24 - m**3/3 - 3*m**2. Calculate the remainder when v is divided by n(4).
32
Let a = 1784 - 1745. Calculate the remainder when 71 is divided by a.
32
Suppose 2*t - 3*s - 1308 = 0, -s = -13*t + 12*t + 656. Suppose 5*a + t = 9*a. Let c = a - 77. Calculate the remainder when c is divided by 23.
19
Suppose -2 = n + 2*t, -5*n + 4*t - 22 - 30 = 0. Suppose -3*q + 3*r = -21, -2*q = -5*q - 4*r + 7. What is the remainder when (51/(-12))/(n/32) is divided by q?
2
Suppose 4*b = -5*h + 120, -h + b + 3*b + 48 = 0. Suppose -16*d = 674 - 738. What is the remainder when h is divided by d?
0
Suppose -5*q + 3*m + 6 = -3*q, 0 = 4*q - m - 12. Suppose q*g - 95 = -5. Calculate the remainder when g is divided by (-7)/((-175)/20)*20.
14
Let c(m) = -m**3 + 50*m**2 - 26*m - 541. What is the remainder when c(30) is divided by 83?
79
Suppose -4*v - 718 = -750. Let x(i) = 1. Let r(m) = 3*m - 33. Let n(b) = -r(b) + 3*x(b). Calculate the remainder when 191 is divided by n(v).
11
Let m(i) = i**3 + 7*i**2 - 11. Let b be m(-6). Let t = b + -22. Suppose -3*p + 38 = -3*j + 5, -49 = -4*p + t*j. What is the remainder when 36 is divided by p?
4
Suppose -64*p + 359542 = -301480 - 85154. Calculate the remainder when p is divided by 13.
11
What is the remainder when 1354 is divided by (-7 - -3 - -2)/(82/(-4182))?
28
Let q(t) = -t + 4. Let x be q(6). Let z(d) = 4*d**2 + 3*d + 2. Let m = -72496 + 72553. Calculate the remainder when m is divided by z(x).
9
Let m = -587 - -590. Suppose y + 4*w = -0*y - 14, 4*y = -m*w + 9. Calculate the remainder when 50 is divided by y.
2
Let a = -2199 - -2205. What is the remainder when 583 is divided by a?
1
Suppose 0 = 3*z - 36 - 3. Let w = 585 + -582. Calculate the remainder when z is divided by w.
1
Let c be 2 + (-2)/((-10)/35). What is the remainder when 24 is divided by c*(-10)/(-18)*3?
9
Let y(w) = 1038*w**2 - 87*w + 87. What is the remainder when y(1) is divided by 36?
30
Let n(b) = b**2 - 151*b + 1194. What is the remainder when 64 is divided by n(8)?
14
Suppose 3*q + 3*q = 18. Suppose q*g = 108 - 21. What is the remainder when 30 is divided by g?
1
Suppose -5*k + n + 6889 = 0, -3*k - 9*n + 2413 = -1682. What is the remainder when k is divided by 283?
245
Let r = -378 + 674. Suppose -4*l = -5*h - 1355 - r, -3*l + 1239 = -3*h. What is the remainder when l/5 - 60/75 is divided by 21?
19
Suppose 0*o = -o + 3. Suppose -502 + 121 = -o*u. Let f = 11123 - 11091. What is the remainder when u is divided by f?
31
Let b(f) = f + 8. Let r be b(-6). Let k(h) = h**3 - 15 + h + 18 + h + 4*h**r. What is the remainder when 44 is divided by k(-3)?
2
Let g(f) be the first derivative of -f**4/4 + 5*f**3/3 + 7*f**2 - 19*f + 289. Calculate the remainder when g(5) is divided by 10.
1
Suppose -3*d - 2*p = -4629, -910 = -2*d + 8*p + 2232. What is the remainder when d is divided by 510?
17
Let c(l) be the first derivative of -l**2 + 25 + l + 34/3*l**3. Calculate the remainder when 97 is divided by c(1).
31
Calculate the remainder when 596 is divided by 4/(-26) + (-25666)/(-533).
20
Suppose -5*h + 9 = -21. Let m = -57 - -219. Let y = m - 158. Calculate the remainder when h is divided by y.
2
Let r = 31 - 17. Suppose 2*h - 3 + 1 = 0. Let k(v) = 25*v**2 - v + 1. What is the remainder when k(h) is divided by r?
11
Suppose -3*d + 8*o + 298 = 6*o, 2*d + 5*o - 167 = 0. What is the remainder when 1055 is divided by d?
95
Suppose -8*p = 4*i - 7*p - 207, 3*p = -5*i + 257. What is the remainder when 243 is divided by i?
35
Let x(a) = -a**2 + a + 8. Let h be x(3). Suppose -h*o - w + 0*w + 25 = 0, 0 = 2*o + 2*w - 26. Calculate the remainder when 21 is divided by o.
9
Let r = 352 - 270. Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
s the units digit of 61598?
8
What is the ten thousands digit of 282212?
8
What is the units digit of 11409934?
4
What is the units digit of 325270?
0
What is the millions digit of 3620188?
3
What is the thousands digit of 27460393?
0
What is the hundred thousands digit of 2234226?
2
What is the hundreds digit of 2200061?
0
What is the ten millions digit of 17912258?
1
What is the hundred thousands digit of 5768253?
7
What is the tens digit of 98726?
2
What is the tens digit of 25209542?
4
What is the thousands digit of 1022037?
2
What is the units digit of 1848419?
9
What is the tens digit of 9714365?
6
What is the hundreds digit of 252862?
8
What is the hundred thousands digit of 1825537?
8
What is the tens digit of 203732?
3
What is the hundreds digit of 345205?
2
What is the hundreds digit of 63315?
3
What is the thousands digit of 1781226?
1
What is the millions digit of 1889854?
1
What is the millions digit of 3370978?
3
What is the hundred thousands digit of 2504521?
5
What is the millions digit of 5369511?
5
What is the tens digit of 18860897?
9
What is the thousands digit of 28158046?
8
What is the ten thousands digit of 223708?
2
What is the hundreds digit of 3241074?
0
What is the thousands digit of 5274040?
4
What is the ten thousands digit of 388447?
8
What is the ten thousands digit of 854463?
5
What is the millions digit of 14851136?
4
What is the hundred thousands digit of 2582608?
5
What is the hundreds digit of 148932?
9
What is the hundreds digit of 3998122?
1
What is the hundred thousands digit of 220951?
2
What is the ten thousands digit of 3446375?
4
What is the hundred thousands digit of 5239460?
2
What is the units digit of 1576542?
2
What is the units digit of 759531?
1
What is the ten millions digit of 20675185?
2
What is the hundred thousands digit of 309102?
3
What is the units digit of 7718024?
4
What is the ten thousands digit of 157273?
5
What is the units digit of 949000?
0
What is the hundreds digit of 163000?
0
What is the hundred thousands digit of 272165?
2
What is the thousands digit of 4292846?
2
What is the units digit of 1188957?
7
What is the units digit of 4289462?
2
What is the units digit of 118624?
4
What is the units digit of 139592?
2
What is the ten millions digit of 13744592?
1
What is the hundred thousands digit of 20074277?
0
What is the tens digit of 77544?
4
What is the millions digit of 13859837?
3
What is the hundred thousands digit of 649905?
6
What is the units digit of 105931?
1
What is the tens digit of 280832?
3
What is the units digit of 1574050?
0
What is the thousands digit of 5330797?
0
What is the thousands digit of 6577688?
7
What is the tens digit of 11906?
0
What is the units digit of 3038555?
5
What is the hundred thousands digit of 4613678?
6
What is the tens digit of 420208?
0
What is the tens digit of 3013614?
1
What is the hundred thousands digit of 5482135?
4
What is the units digit of 261806?
6
What is the tens digit of 455021?
2
What is the hundreds digit of 8398057?
0
What is the hundreds digit of 1391173?
1
What is the tens digit of 4703368?
6
What is the thousands digit of 1201587?
1
What is the thousands digit of 490759?
0
What is the thousands digit of 11249134?
9
What is the ten thousands digit of 73936?
7
What is the ten thousands digit of 512290?
1
What is the ten thousands digit of 113786?
1
What is the thousands digit of 257833?
7
What is the hundred thousands digit of 358475?
3
What is the millions digit of 8464281?
8
What is the units digit of 11048622?
2
What is the millions digit of 2054077?
2
What is the thousands digit of 303015?
3
What is the ten thousands digit of 1780535?
8
What is the thousands digit of 64720?
4
What is the ten thousands digit of 151459?
5
What is the ten thousands digit of 455320?
5
What is the ten thousands digit of 157784?
5
What is the tens digit of 518847?
4
What is the ten thousands digit of 703521?
0
What is the thousands digit of 2278276?
8
What is the tens digit of 610358?
5
What is the units digit of 125239?
9
What is the hundreds digit of 342861?
8
What is the tens digit of 2745618?
1
What is the hundreds digit of 6328578?
5
What is the millions digit of 9322425?
9
What is the hundred thousands digit of 197681?
1
What is the units digit of 46351?
1
What is the ten thousands digit of 203587?
0
What is the thousands digit of 13998?
3
What is the millions digit of 1223250?
1
What is the ten thousands digit of 30219?
3
What is the millions digit of 5045743?
5
What is the hundreds digit of 16873?
8
What is the millions digit of 8334697?
8
What is the millions digit of 11669569?
1
What is the thousands digit of 1045113?
5
What is the hundreds digit of 147597?
5
What is the millions digit of 17840767?
7
What is the units digit of 133974?
4
What is the thousands digit of 30352?
0
What is the ten thousands digit of 226058?
2
What is the millions digit of 12141626?
2
What is the ten thousands digit of 424949?
2
What is the ten thousands digit of 358757?
5
What is the millions digit of 4964308?
4
What is the thousands digit of 2734259?
4
What is the hundreds digit of 5560417?
4
What is the millions digit of 10831744?
0
What is the ten thousands digit of 279110?
7
What is the hundreds digit of 104753?
7
What is the tens digit of 2850863?
6
What is the ten thousands digit of 3214462?
1
What is the units digit of 3829822?
2
What is the ten thousands digit of 7460257?
6
What is the thousands digit of 37351?
7
What is the hundreds digit of 83233?
2
What is the hundred thousands digit of 182563?
1
What is the hundreds digit of 16629?
6
What is the units digit of 1853230?
0
What is the hundred thousands digit of 4650382?
6
What is the hundreds digit of 377094?
0
What is the thousands digit of 10040884?
0
What is the hundreds digit of 9186254?
2
What is the hundreds digit of 3483895?
8
What is the hundred thousands digit of 1763835?
7
What is the thousands digit of 611618?
1
What is the ten thousands digit of 8476684?
7
What is the ten thousands digit of 4547374?
4
What is the units digit of 13026200?
0
What is the ten thousands digit of 277522?
7
What is the hundreds digit of 351962?
9
What is the millions digit of 4857209?
4
What is the hundred thousands digit of 5122728?
1
What is the tens digit of 5307753?
5
What is the millions digit of 1423947?
1
What is the ten thousands digit of 229610?
2
What is the tens digit of 280067?
6
What is the tens digit of 5229409?
0
What is the ten thousands digit of 3116007?
1
What is the hundreds digit of 34593?
5
What is the tens digit of 399823?
2
What is the ten thousands digit of 2095772?
9
What is the tens digit of 29382?
8
What is the hundred thousands digit of 241929?
2
What is the ten thousands digit of 131435?
3
What is the units digit of 3852364?
4
What is the thousands digit of 33127123?
7
What is the units digit of 640817?
7
What is the hundreds digit of 7310319?
3
What is the hundreds digit of 151219?
2
What is the hundred thousands digit of 174788?
1
What is the units digit of 2177302?
2
What is the tens digit of 252488?
8
What is the tens digit of 40077?
7
What is the ten thousands digit of 20219473?
1
What is the hundreds digit of 158692?
6
What is the millions digit of 5901462?
5
What is the millions digit of 3443748?
3
What is the units digit of 91118?
8
What is the units digit of 12003538?
8
What is the tens digit of 3040082?
8
What is the tens digit of 19039132?
3
What is the thousands digit of 383425?
3
What is the millions digit of 16422968?
6
What is the ten thousands digit of 67448?
6
What is the ten thousands digit of 153322?
5
What is the thousands digit of 11848284?
8
What is the units digit of 1771238?
8
What is the hundreds digit of 569964?
9
What is the hundred thousands digit of 15767501?
7
What is the thousands digit of 3496780?
6
What is the hundreds digit of 72787?
7
What is the hundred thousands digit of 10968608?
9
What is the ten thousands digit of 270215?
7
What is the units digit of 50144?
4
What is the ten thousands digit of 325429?
2
What is the ten thousands digit of 346032?
4
What is the thousands digit of 1855738?
5
What is the tens digit of 8837748?
4
What is the ten thousands digit of 15385394?
8
What is the ten millions digit of 14791177?
1
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
erms in 2*v + 100*v**2 - 2294144 + 4588290 - 2294146.
100*v**2 + 2*v
Collect the terms in -399728*r - 418856*r - 33473*r - 531521*r.
-1383578*r
Collect the terms in 162 - 553*l + 278*l + 277*l + 183 + 307.
2*l + 652
Collect the terms in -120587263*r**2 - 2*r + 23*r + 120587376*r**2.
113*r**2 + 21*r
Collect the terms in 9*f**2 + 1416*f**3 + 333*f**3 - 9*f**2 + 20*f**3.
1769*f**3
Collect the terms in -530*l**2 - 598*l**2 - 896*l**2 + 2524*l**2.
500*l**2
Collect the terms in 851 + 29*i**2 + 694 - 110.
29*i**2 + 1435
Collect the terms in -1640*i - 235*i - 2889*i - 841*i + 2227*i.
-3378*i
Collect the terms in -4067*u**2 - 2239533*u + 2239533*u.
-4067*u**2
Collect the terms in 3102*m + 243*m**2 - 5774*m - 240*m**2 + 2672*m.
3*m**2
Collect the terms in -26 - 115 - 232*n - 229*n + 958*n - 496*n.
n - 141
Collect the terms in -399*b**3 + 21 - 40 - 4931*b**2 + 19 + 4931*b**2.
-399*b**3
Collect the terms in -452*x**3 - 400*x**3 + 626*x**3 + 2*x.
-226*x**3 + 2*x
Collect the terms in 0 - 32*p**2 + 2 - 42*p**2 - 68*p**2 + 177*p**2.
35*p**2 + 2
Collect the terms in -173*u - 52 + 107 - 55 - 10*u.
-183*u
Collect the terms in 78 + 31 - 7171*u + 21237*u.
14066*u + 109
Collect the terms in 87409 + 87411 + 3*y + 87409 - 262229.
3*y
Collect the terms in -11212*h**3 + 5608*h**3 - 10*h**2 + 5617*h**3.
13*h**3 - 10*h**2
Collect the terms in 1219*h**2 - 7*h - 15*h + 25*h - 1230*h**2 - 3*h.
-11*h**2
Collect the terms in -3*z + 1817426 - 1817426 + 0*z.
-3*z
Collect the terms in -26859*l + 11477*l + 15382*l - 2*l**2.
-2*l**2
Collect the terms in 7*q**2 + 38*q**2 - 190*q**2 + 138*q**2 + 56*q**3.
56*q**3 - 7*q**2
Collect the terms in 12*t**2 + 374809*t**3 - 7*t**2 + 4*t**2 - 9*t**2.
374809*t**3
Collect the terms in -15*p**2 + 8*p**2 + 128774*p + 11*p**2.
4*p**2 + 128774*p
Collect the terms in -25*z - 31 - 337*z + 18*z + 70 - 39.
-344*z
Collect the terms in s + 75*s**2 + 132*s**2 + 36 + 24*s**3 - 58*s**2.
24*s**3 + 149*s**2 + s + 36
Collect the terms in 498*c + 569*c + 557*c - 2756*c + 567*c + 562*c.
-3*c
Collect the terms in -4080*l + 12242*l - 4082*l - 4080*l - 2219*l**3.
-2219*l**3
Collect the terms in 11197*s**3 - 2 - 22139*s**3 + 11098*s**3.
156*s**3 - 2
Collect the terms in 6063*z**3 - 10014*z**3 + 5827*z**3.
1876*z**3
Collect the terms in 3235*f**3 + 3087*f**3 - 12567*f**3 + 3202*f**3 + 3226*f**3.
183*f**3
Collect the terms in -5*w - 4*w - 5*w + 9*w + 4*w + 3*w + w.
3*w
Collect the terms in 23*d**2 - 460 - 445 + 905 + 33*d**2.
56*d**2
Collect the terms in 48*c - 388*c + 38*c + 83*c + 50*c + 63*c.
-106*c
Collect the terms in 16007*q + 15217*q + 20087*q + 79717*q + 39820*q.
170848*q
Collect the terms in 24004 - 6013 - 6022 - 5960 + 5*m**2 - 6009.
5*m**2
Collect the terms in 0 - 50527*g**2 + 1 + 3 - 37361*g**2.
-87888*g**2 + 4
Collect the terms in -23 + 230*c**2 + 20 + 0 - 42*c**2 - c + 184*c**2.
372*c**2 - c - 3
Collect the terms in -72*m**3 + 88*m**3 - 5*m**2 + 15*m**3 + 6*m**2 + 3*m**2.
31*m**3 + 4*m**2
Collect the terms in 742 - 1766 - 326 - h.
-h - 1350
Collect the terms in 2809389*x + 683649*x + 1145717*x.
4638755*x
Collect the terms in 426*d**2 + 404*d**2 - 820*d**2 + 10 + 1.
10*d**2 + 11
Collect the terms in 1875894*l**2 - 938398*l**2 - 937503*l**2.
-7*l**2
Collect the terms in -56*t**3 + 8*t + 28*t**3 - 1359 + t**2 + 32*t**3.
4*t**3 + t**2 + 8*t - 1359
Collect the terms in -2 - 48*l + 207*l + 215*l - 50*l - 83*l + 247*l.
488*l - 2
Collect the terms in 75*z + 26*z**2 - 28*z - 29*z - 18*z - 29*z.
26*z**2 - 29*z
Collect the terms in 8948*q**3 - 3619353*q - 8886*q**3 + 3619351*q.
62*q**3 - 2*q
Collect the terms in 487*p + 5041 - 5041 + 1108*p.
1595*p
Collect the terms in -797 + 7*h - 6*h + 1196.
h + 399
Collect the terms in -1914*q**2 - 14925*q**2 - 250*q**2 + 280 + 3*q - 282.
-17089*q**2 + 3*q - 2
Collect the terms in -29*s**2 + 90*s**2 - 31*s**2 + 78*s**2 + 99 - 103.
108*s**2 - 4
Collect the terms in 223 - 1902*f**3 - 110 + 1912*f**3 - 113.
10*f**3
Collect the terms in 10637401 + 10637419 + 10637417 + 3*a**2 - 31912237 - a**2.
2*a**2
Collect the terms in -t + 0*t + 37*t**3 + t - 77*t**2 + 4*t - 27*t**2.
37*t**3 - 104*t**2 + 4*t
Collect the terms in -1390 - 23*w - 6130 + 7520.
-23*w
Collect the terms in 9838*w**2 - 4952*w**2 - 9*w**3 - 10*w**3 - 4886*w**2.
-19*w**3
Collect the terms in p + 0*p + 32*p + 25*p - 40*p - 20*p + p.
-p
Collect the terms in 1418 - 7369 + 4*d - 2086 + 6*d.
10*d - 8037
Collect the terms in -185778917*y**3 - 185778911*y**3 - 41*y**2 + 371557827*y**3.
-y**3 - 41*y**2
Collect the terms in 91*o**2 - 9130708*o + 4565352*o + 4565356*o + 1.
91*o**2 + 1
Collect the terms in m - 131742 - 106192 + 82258.
m - 155676
Collect the terms in 821534*r**3 - 411385*r**3 - 410148*r**3.
r**3
Collect the terms in -1 + 3709*v + 3741*v + 3656*v - 10947*v.
159*v - 1
Collect the terms in 123547*r**3 + 13*r**2 + 13*r**2 - 26*r**2.
123547*r**3
Collect the terms in -59*t**2 + 47*t - 103*t + 58*t - 168.
-59*t**2 + 2*t - 168
Collect the terms in 764 - 199 - g + 959 - 149 + 1000.
-g + 2375
Collect the terms in -64*u**2 + 8519328 - 8519328 + 48*u**2.
-16*u**2
Collect the terms in -101 - 135*h - 87 + 133*h + 162.
-2*h - 26
Collect the terms in 0*d**2 + 519*d + d**2 + 527*d + 5*d**2 + 515*d - 1529*d.
6*d**2 + 32*d
Collect the terms in 40*g + 41*g - 164*g + 38*g + 10*g + 35*g - 2*g**3.
-2*g**3
Collect the terms in 609*t + 20239 - 10083 - 10156 + 239*t.
848*t
Collect the terms in -k**3 + 4*k + 517 - 1025 + 518 - 4*k.
-k**3 + 10
Collect the terms in -10 + 1169*d - 9 + 30 - 9 - 12.
1169*d - 10
Collect the terms in 7300081*u**3 - 3680281*u**3 - 3619797*u**3.
3*u**3
Collect the terms in 154 - 863 + 157 + 391 + 161 + 2*i.
2*i
Collect the terms in 2142866*x**3 - 4285494*x**3 + 2142767*x**3.
139*x**3
Collect the terms in 2411*z**2 + 404*z - 201*z + 3749*z**2 - 203*z.
6160*z**2
Collect the terms in -19291*i**3 - 18980*i**3 + 38272*i**3.
i**3
Collect the terms in -7*c + 229*c**3 - 11*c + 60*c**2 - 1 + 3.
229*c**3 + 60*c**2 - 18*c + 2
Collect the terms in -47 - 55 + 151*c + 258 - 47 - 47 - 64.
151*c - 2
Collect the terms in 5962604*t + 5962590*t - 11925199*t.
-5*t
Collect the terms in 23 + 244 - 279*s + 237 - 745 + 241.
-279*s
Collect the terms in 2 + 1177528*g**2 - 1176841*g**2 - 2.
687*g**2
Collect the terms in 803*k + 2*k**3 + k**3 + 0*k**2 - 6*k**3 + 0*k**2 - 2.
-3*k**3 + 803*k - 2
Collect the terms in -192 - 96118*w + 48063*w + 48054*w.
-w - 192
Collect the terms in 302888*v**2 + 15 - 4*v - 302886*v**2 - 8*v.
2*v**2 - 12*v + 15
Collect the terms in 3 + 184*y - 498*y - 175*y + 173*y + 182*y + 163*y.
29*y + 3
Collect the terms in 126 - 2*q**3 + 203 - 157 - 172.
-2*q**3
Collect the terms in 1101*u**3 - 370*u**3 + 592*u**3 + 419*u**3 - 152*u**3.
1590*u**3
Collect the terms in -13*c**2 - 94 + 7 - 36*c**2 + 78*c**2 - 13*c**2 - 11*c**2.
5*c**2 - 87
Collect the terms in -2474010*g - 2474013*g + 7422050*g - 2474018*g.
9*g
Collect the terms in 27 - 8*v**2 - 26092*v + 26092*v + 6*v**2.
-2*v**2 + 27
Collect the terms in 2332*x**3 - 571*x**3 - 564*x**3 - 602*x**3 - 606*x**3.
-11*x**3
Collect the terms in -4593*i**3 + 1 + 3 - 4 + 38973*i**3.
34380*i**3
Collect the terms in 13*z**2 - 50*z**2 + 40*z**3 + 13*z**2 - 8*z**2 + 32*z**2.
40*z**3
Collect the terms in -11*g - 11*g - 470 + 2050 - 527 - 525 - 531.
-22*g - 3
Collect the terms in 258*l**2 - 4 - 17 + 82*l**2.
340*l**2 - 21
Collect the terms in -1712*w**2 + 5058*w**2 - 1680*w**2 - 1726*w**2.
-60*w**2
Collect the terms in -15611*n + 46978*n - 15548*n - 15686*n - n**2.
-n**2 + 133*n
Collect the terms in -348079930*c**3 + 696159871*c**3 - 348079937*c**3.
4*c**3
Collect the terms in 9*m - 85*m + 2*m + 32*m + 5*m.
-37*m
Collect the terms in -20*m**2 + 2237167 - 2237167.
-20*m**2
Collect the terms in -102*m + 70*m + 14*m + 9*m.
-9*m
Collect the terms in -135*v**2 - 56*v**2 + 200*v**2 - 784.
9*v**2 - 784
Collect the terms in -25 + 19*j + 24 + 123*j - 2*j**2.
-2*j**2 + 142*j - 1
Collect the terms in -78 - 85 - 77 + 23*v**2 - 27*v**2 + 244.
-4*v**2 + 4
Collect the terms in -46*o + 0*o**3 + 100*o + 3 - 54*o - 13*o**3.
-13*o**3 + 3
Collect the terms in -8103*g + 89*g**2 + 8103*g.
89*g**2
Collect the terms in -2252894 + 4*z - 2*z + 4505798 - 2252904.
2*z
Collect the terms in -11020*k - 25382*k - 18457*k - 13428*k.
-68287*k
Collect the terms in -147 + 14
|
{
"pile_set_name": "DM Mathematics"
}
|
ainder when 609304 is divided by 609244.
60
Calculate the remainder when 1358199 is divided by 2058.
1977
Calculate the remainder when 304486 is divided by 2066.
784
What is the remainder when 671792 is divided by 134335?
117
Calculate the remainder when 3288308 is divided by 219220.
8
Calculate the remainder when 101609 is divided by 1923.
1613
What is the remainder when 6673314 is divided by 1665?
1659
Calculate the remainder when 780827 is divided by 265.
137
What is the remainder when 114780330 is divided by 23415?
0
What is the remainder when 49669277 is divided by 210463?
9
Calculate the remainder when 171453 is divided by 3608.
1877
Calculate the remainder when 3322555 is divided by 830636.
11
Calculate the remainder when 2681265677 is divided by 2960.
2957
Calculate the remainder when 56543949 is divided by 614608.
13
Calculate the remainder when 256570 is divided by 127757.
1056
What is the remainder when 12428442 is divided by 5657?
13
What is the remainder when 10287 is divided by 1353?
816
Calculate the remainder when 205284447 is divided by 1050.
1047
Calculate the remainder when 19835966 is divided by 90575.
41
What is the remainder when 317671 is divided by 2527?
1796
What is the remainder when 535217 is divided by 5299?
18
What is the remainder when 2296309 is divided by 367?
357
Calculate the remainder when 4964017 is divided by 17235.
337
Calculate the remainder when 481483 is divided by 5664.
43
Calculate the remainder when 444223 is divided by 5346.
505
What is the remainder when 1281731 is divided by 204?
203
Calculate the remainder when 16971967 is divided by 183.
181
Calculate the remainder when 2064413 is divided by 113.
16
Calculate the remainder when 1831164 is divided by 2902.
2
What is the remainder when 15771424 is divided by 315428?
24
What is the remainder when 17254989 is divided by 13?
11
What is the remainder when 1807081 is divided by 350?
31
Calculate the remainder when 528043 is divided by 52651.
1533
What is the remainder when 863095 is divided by 98?
9
What is the remainder when 18420 is divided by 191?
84
What is the remainder when 468883 is divided by 2368?
19
Calculate the remainder when 112287773 is divided by 56143886.
1
What is the remainder when 967589 is divided by 1843?
14
What is the remainder when 173415 is divided by 57350?
1365
Calculate the remainder when 46673084 is divided by 902.
898
Calculate the remainder when 4594083 is divided by 171.
168
Calculate the remainder when 169704 is divided by 300.
204
What is the remainder when 1988354 is divided by 116?
114
What is the remainder when 427308 is divided by 229?
223
What is the remainder when 306866 is divided by 51035?
656
What is the remainder when 95418 is divided by 362?
212
What is the remainder when 845084 is divided by 4268?
20
Calculate the remainder when 1627211 is divided by 813555.
101
Calculate the remainder when 1298030 is divided by 2388.
1346
Calculate the remainder when 931406 is divided by 931398.
8
Calculate the remainder when 48213029 is divided by 113.
110
What is the remainder when 8960934 is divided by 179218?
34
Calculate the remainder when 2464566 is divided by 21.
6
Calculate the remainder when 16110708 is divided by 63.
33
What is the remainder when 71370 is divided by 23666?
372
Calculate the remainder when 3129559 is divided by 1369.
25
Calculate the remainder when 66006 is divided by 100.
6
What is the remainder when 285994 is divided by 95291?
121
Calculate the remainder when 108297 is divided by 1452.
849
Calculate the remainder when 45455687 is divided by 17.
16
What is the remainder when 966584 is divided by 17?
15
Calculate the remainder when 41830683 is divided by 7781.
27
What is the remainder when 73639 is divided by 457?
62
What is the remainder when 35027350 is divided by 182?
176
What is the remainder when 79410 is divided by 39480?
450
Calculate the remainder when 139389 is divided by 1040.
29
Calculate the remainder when 364343 is divided by 28026.
5
What is the remainder when 3929008 is divided by 357182?
6
What is the remainder when 22277694 is divided by 2230?
2224
What is the remainder when 57384078 is divided by 871?
856
Calculate the remainder when 165691 is divided by 36.
19
What is the remainder when 4338262 is divided by 289217?
7
What is the remainder when 88572 is divided by 7418?
6974
Calculate the remainder when 140241 is divided by 515.
161
What is the remainder when 43104 is divided by 21286?
532
What is the remainder when 6184444 is divided by 81?
13
What is the remainder when 1199275 is divided by 11?
0
Calculate the remainder when 8955793 is divided by 11815.
23
Calculate the remainder when 94457616 is divided by 765.
6
What is the remainder when 700504 is divided by 1158?
1072
What is the remainder when 972002061 is divided by 22?
19
What is the remainder when 52182014 is divided by 2096?
2094
Calculate the remainder when 181608914 is divided by 1488.
2
What is the remainder when 7087 is divided by 19?
0
Calculate the remainder when 129483357 is divided by 324.
321
Calculate the remainder when 58492284 is divided by 1233.
1230
Calculate the remainder when 119512 is divided by 1406.
2
What is the remainder when 1091073 is divided by 2?
1
Calculate the remainder when 6233657 is divided by 5546.
5499
Calculate the remainder when 1810791 is divided by 30691.
22
What is the remainder when 782867 is divided by 41?
13
What is the remainder when 1194355 is divided by 555?
550
What is the remainder when 368315 is divided by 789?
641
What is the remainder when 173119 is divided by 24?
7
What is the remainder when 24761528 is divided by 4?
0
What is the remainder when 12555428 is divided by 502215?
53
Calculate the remainder when 34644 is divided by 38.
26
Calculate the remainder when 543981 is divided by 189.
39
Calculate the remainder when 130330447 is divided by 496.
495
What is the remainder when 4770879 is divided by 320?
319
What is the remainder when 9745390 is divided by 38?
24
Calculate the remainder when 55428 is divided by 2705.
1328
Calculate the remainder when 166109 is divided by 6122.
815
What is the remainder when 6883322 is divided by 2726?
172
What is the remainder when 3536888 is divided by 230?
178
Calculate the remainder when 22946215 is divided by 533632.
39
Calculate the remainder when 106866 is divided by 2756.
2138
What is the remainder when 6119708 is divided by 1754?
2
Calculate the remainder when 24991978 is divided by 40180.
18
Calculate the remainder when 290692 is divided by 3266.
18
What is the remainder when 5007005 is divided by 385147?
94
Calculate the remainder when 1901883 is divided by 4191.
3360
Calculate the remainder when 148091 is divided by 12492.
10679
Calculate the remainder when 2537005 is divided by 2537000.
5
What is the remainder when 7577718 is divided by 40?
38
What is the remainder when 726270 is divided by 9?
6
What is the remainder when 235632 is divided by 116?
36
Calculate the remainder when 142749 is divided by 4757.
39
What is the remainder when 11373003 is divided by 673?
649
What is the remainder when 103694 is divided by 50932?
1830
What is the remainder when 527776 is divided by 6070?
5756
Calculate the remainder when 754570 is divided by 1711.
19
What is the remainder when 8564441 is divided by 713703?
5
What is the remainder when 1695274 is divided by 1321?
431
Calculate the remainder when 246608 is divided by 1124.
452
Calculate the remainder when 316602718 is divided by 1960.
1958
What is the remainder when 14008311 is divided by 1400831?
1
Calculate the remainder when 652960 is divided by 54409.
52
Calculate the remainder when 35993074 is divided by 7198610.
24
Calculate the remainder when 220989 is divided by 527.
176
What is the remainder when 9690398 is divided by 4472?
4046
Calculate the remainder when 2136635 is divided by 3775.
3760
What is the remainder when 619873 is divided by 34249?
3391
Calculate the remainder when 57356 is divided by 952.
236
Calculate the remainder when 1984807 is divided by 184.
183
Calculate the remainder when 6223783 is divided by 271.
268
What is the remainder when 23454368 is divided by 7818121?
5
Calculate the remainder when 1287558 is divided by 1652.
650
Calculate the remainder when 6
|
{
"pile_set_name": "DM Mathematics"
}
|
3 and l.
3
Suppose -5*z = 2*v - 72 - 17, 0 = 3*v + z - 127. What is the common denominator of (v/27)/(6/(-9)) and (-3)/(-2)*(-8)/(-15)?
15
Suppose 2*s + 11 = -3*j, -3*s + 2*j - 5*j - 12 = 0. Calculate the common denominator of (-113*1/s)/(-10) and (-2)/7 - 15/(-21).
70
Suppose 3*g - 3*l = 45, g + 3*l = 2*g - 25. Calculate the lowest common multiple of 30/(-9)*6/(-10) and g.
10
Calculate the least common multiple of (48/(-10))/(-6)*5 and 5.
20
Suppose s - 6*s + 10 = 0. Suppose 0 = -s*p + 7 + 1. What is the least common multiple of 6 and p?
12
Let m(x) = 151*x + 2. Let i be m(8). Let f = -2321/2 + i. Find the common denominator of -3 - -1 - 12/5 and f.
10
Let l = 1769868131/60 - 29498759. Let d = 2855/3 + l. Calculate the common denominator of d and -71/8.
40
Suppose 2*m = -8*w + 4*w - 64, 0 = -3*m + 5*w - 41. Calculate the common denominator of (-2)/4 - (-87)/m and -13 + 12 + (-134)/(-6).
33
Let y be (1572/198)/((-8)/1446). Let m = 1436 + y. What is the common denominator of 47/16 and m?
176
Let y = -372 - -1127/3. What is the common denominator of y and -43/10?
30
Suppose -2*b - 39 = 5*f, f - 2*f + 5*b + 3 = 0. Let i = f - -8. Calculate the lowest common multiple of i and 8.
8
Let i = 69 - 47. What is the smallest common multiple of i and 22?
22
Let f = -7/48 + 49/48. Find the common denominator of f and -64/81.
648
What is the least common multiple of 24/32 + 2/8 and 6?
6
What is the least common multiple of 24 and 4 - 0 - (-29 - 0)?
264
Let y(l) = -l**2 - 15*l - 12. What is the lowest common multiple of y(-14) and 4?
4
Let n = 2/253 + 19971/2024. Calculate the common denominator of n and -87/32.
32
Let c = 7685/6 - 1266. Find the common denominator of c and 151/42.
42
Suppose -2*v - 4*v + 48 = 0. Let g = 1 - -1. What is the smallest common multiple of g and v?
8
Let a = -2166 + 21687/10. Find the common denominator of a and -9/14.
70
Let d be (2 + 2)*2/4. Let f be 1/d*1*18. Calculate the common denominator of 33/10 and 759/(-72) - (-6)/f.
40
Let a be 4/6*36/8. Let j = -5200 + 114491/22. Calculate the common denominator of (-166)/(-12)*a/(-6) and j.
132
Let i be 81/455 + (-5)/25. Let n = 289/728 + i. What is the common denominator of n and -23/22?
88
Let z = 29 + -26. What is the smallest common multiple of 10 and z?
30
Let w = 53519/10 - 5342. Calculate the common denominator of w and (-10)/15 + 3 + (-69)/9.
30
Let l be 320/(-56) - (-4)/(-14). What is the common denominator of (-628)/80 - l/(-15) and 43/20?
20
Let a(o) = -2*o**2 + 3*o - 3. Let w be a(2). Let x = 19 + w. What is the lowest common multiple of 20 and x?
140
Suppose 0 = d - 6*d + 100. Suppose -57 = -3*l + 3*u, -2*l + 105 = 3*l + 5*u. What is the lowest common multiple of l and d?
20
Calculate the lowest common multiple of 18 and (11 - 17)/((-3)/14).
252
Suppose 0 = 5*o + 2*l + 3*l - 5, 5*o + 1 = l. Suppose o*a - 2 = -a. Suppose 0 = 2*v - 10 - a. Calculate the least common multiple of 11 and v.
66
Suppose 127 = 4*o - 117. Let v = -41 + o. Suppose -5*c = -2*r - 4, 4*r - 3*c = -0*r + v. Calculate the lowest common multiple of 6 and r.
24
Let g(h) = 3*h + 2. Let k be g(-4). Let r = 680/3 - 240. What is the common denominator of (37/(-5))/((-12)/k) and r?
6
Suppose 10 = -2*r - 2*j, 0*r - r + 10 = -2*j. Calculate the common denominator of 121/6 and 19/22 + r/2.
66
Let h = -3682 - -73697/20. What is the common denominator of -81/40 and h?
40
Calculate the common denominator of -55/4 and 30/(-4)*(-85)/(-187).
44
What is the common denominator of (29/(-8))/(7/(-84)) and -55/18?
18
Let r(q) = -2*q + 4. Let u be r(5). Calculate the common denominator of 11/18 and 4/u*999/60.
90
Let b(n) = n**3 - 31*n**2 - 33*n + 42. Calculate the smallest common multiple of b(32) and 40.
40
Find the common denominator of (-4)/24 - (-142)/(-120) and -1/20.
20
Let g = 22 + -18. What is the common denominator of -57/8 and 86*(162/40 - g)?
40
Let q = 3007/204 + -354/17. What is the common denominator of 74/3 and q?
12
Let o = 13 - 96/11. Let t = 47/2 + -85/4. Calculate the common denominator of t and o.
44
Let h = 612 + -6788/11. Find the common denominator of 106/60 + (-2)/3 and h.
110
Let q be (-1)/((-21)/9 + 2). Suppose -v + q - 6 = 0. What is the common denominator of -143/6 and (-687)/(-90) - v/15?
6
Let f = -335/588 + -2/147. Calculate the common denominator of f and -19/18.
36
Suppose 5*c + 0*c = 5*a + 120, -111 = -4*c - a. What is the least common multiple of c and 6?
54
Let c = -2/85 + 354/595. Let p = -929 + 2729/3. Find the common denominator of c and p.
21
Suppose -2*f + 4 = -0*f. Find the common denominator of 489/40 - (-3)/(-5) and 68/80 + f/2.
40
Suppose -9 = o + 3*t, -4*o - 5*t = 2 + 13. Let l = 1 + o. Find the common denominator of 45/14 and l + 0 - (-594)/(-24).
28
Let i = -2620 - -5339/2. Calculate the common denominator of i and -89/10.
10
What is the common denominator of (15 + 88)/(2*-4) - -2 and -107/20?
40
Suppose 0 = -2*j - m + 7, 8*m = 2*j + 3*m + 11. Suppose 0*i = -j*i + 12. What is the lowest common multiple of 20 and i?
60
Let u(g) = -4*g - 1. Calculate the lowest common multiple of 18 and u(-1).
18
Let b = -3 + 6. Let l = -516 - -1529/3. What is the common denominator of (-3)/5*41/b and l?
15
Let q = 90324351845/13428 - 80718899/12. Let y = 18/373 + q. Find the common denominator of -1/10 and y.
90
Let a(i) = 14*i**2 - i. Calculate the least common multiple of a(-1) and 24.
120
Suppose 5*t = 38 - 8. Calculate the lowest common multiple of t and 10.
30
Suppose 1 = 2*l - 3. What is the lowest common multiple of 34 and l?
34
Let q be (-4)/6*1*-3. Let v be q/(-3) - 16/(-6). Suppose 9 = 3*l + 2*p, -l = -v*l - 5*p + 3. Calculate the smallest common multiple of 8 and l.
24
Suppose -2 = -2*s - 4*o + 6, -4*s - o + 16 = 0. What is the smallest common multiple of (-65)/(-9) - (-12)/(-54) and s?
28
Let a = -2909 + 1087. Let f = 3282 + a. Let m = f + -11623/8. What is the common denominator of 89/4 and m?
8
Find the common denominator of 27/8 and (25 + (-1 - 3))/10.
40
Suppose -54 = -3*t - 0*t - 2*q, 0 = -5*q. Let s = 24 - 14. Calculate the lowest common multiple of t and s.
90
What is the lowest common multiple of ((-72)/14)/((-24)/224) and 16?
48
Let r(w) = -w**2 - w + 4. Let z be r(0). Suppose -z = -p + 1. Find the common denominator of (-2)/p*(-33)/(-8) and 107/22.
220
Let r = 19149/11 + -1739. Find the common denominator of r and -27/5.
55
Let c = 51/4 - 73/4. Let a = -5 - -2. What is the common denominator of ((2 + -42)/2)/a and c?
6
Suppose 0*a + 2*a - 12 = 0. Suppose -2*t = -a*t + 40. Calculate the smallest common multiple of t and 3.
30
Suppose -7 = -12*m + 5. Calculate the least common multiple of 13 and m.
13
Suppose 3*o - 5*x + 14 = 0, -o - 2*x = 2 - 12. Let m(n) = -n**2 + 8*n**o + n**2 - 1 + n. What is the least common multiple of 9 and m(1)?
72
Let g = 57 - 231/4. What is the common denominator of 178/4*1/(-2) and g?
4
What is the common denominator of -73/22 and ((-158)/(-20))/(16/40)?
44
Let m = -20101/9 + 2238. Calculate the common denominator of m and 11/8.
72
Let g = -7553/870 - 22/145. Calculate the common denominator of (-2)/4 + (-142)/(-36) and g.
18
Suppose 2*k = 21 - 57. What is the common denominator of (27/(-6))/((-21)/k) and -1/3?
21
Calculate the common denominator of -107/22 and 135/66 - (-1 + -2).
22
Let b = 114 + -110. Calculate the least common multiple of b and 82.
164
Let o = 25 - 62. Let c = 173 - o. Calculate the common denominator of 13/11 and (-3385)/c + 4/14.
66
What is the common denominator of ((-146)/10)/((-18)/(-5)) and -47/6?
18
Let g = -172023/20 + 8595. Let r = -38/25 + 403/150. Calculate the common denominator of g and r.
60
Suppose 3*o - 34 = 2*i, -4*i = -3*o + 7 + 31. Suppose -5*a = 3*u - 212, 0*a = 5*a - 5*u - 180. Calculate the lowest common multiple of a and o.
40
Let h be (3/(-4))/((-18)/116). Let z = h + -221/24. What is the common denominator of 1/18 and z?
72
Let n = -5423/14 - -387. Suppose 1083 = -32*k + 31*k. Let j = 2209/2 + k. Find the common denominator of j and n.
14
Suppose -2 = f + 4*v, -f = -0*v + 5*v + 5. Suppose -6*i = -40 - 68. What is the least common multiple of f and i?
90
Let c(y) = 7*y + 1. Let a be c(-4). Let v = 32 + a. What is the lowest common multiple of v and 3?
15
Let k = 15 - 6. Suppose 0 = -4*p + 290 + 158.
|
{
"pile_set_name": "DM Mathematics"
}
|
a - 14. Let q(l) = -f(l) + 4*r(l). Give q(-12).
22
Let f(b) = 0*b**2 - 7*b**2 + 12*b**2 - 4*b**2 - 4. Determine f(0).
-4
Suppose 3*c + 21 = 4*z, z - 3*c - 6 = 6. Let p(i) = -5*i - 673. Let x(n) = -n - 96. Let y(u) = p(u) - 7*x(u). Determine y(z).
5
Let q(f) = f - 18. Suppose 3*v - 26 = 2*g, v - 7*g + 3*g = 12. Give q(v).
-10
Let s(i) = 3*i + 7. Suppose -3*r + l + 3*l - 63 = 0, -l + 37 = -2*r. Let f(q) = -8*q - 20. Let c(o) = r*s(o) - 6*f(o). Determine c(2).
-5
Let b(c) = c**3 - 5*c**2 + c - 2. Let i = 18 - -46. Let l be (i/40)/((-4)/(-10)). Give b(l).
-14
Suppose 0*w = 3*w + 2*h - 28, -48 = -5*w - 2*h. Let z(s) = -6*s - 5*s - 7 + w*s. Give z(-7).
0
Suppose 17 = b + 4*r, 2*b - 2*r = 3*b - 11. Let o(y) = 7*y - 3. Let d(w) = -3*w + 1. Let q(p) = 5*d(p) + 2*o(p). Give q(b).
-6
Let a(p) be the second derivative of -p**6/360 + p**5/60 + p**4/24 + p**3/6 - 6*p. Let o(l) be the second derivative of a(l). Calculate o(3).
-2
Let b(a) = -15*a + 479. Let x be b(32). Let g(m) = 11*m + 2. What is g(x)?
-9
Suppose 0*c - 3*c - 3*l = 42, 5*c + 4*l + 65 = 0. Let d(x) be the second derivative of -x**5/20 - 5*x**4/6 - 3*x**3/2 + 3*x**2 - 134*x + 3. Give d(c).
6
Let v(r) be the first derivative of -1/2*r**2 - 5 - 1/4*r**4 - 3*r**3 - 3*r. Give v(-9).
6
Let u(c) be the first derivative of 2/3*c**3 - c + 33 - 1/2*c**4 + 0*c**2. Give u(1).
-1
Let p(t) be the third derivative of -t**5/30 - 5*t**4/12 - 3*t**3 + 68*t**2 - 4*t. Give p(-4).
-10
Let d be (-1)/(-5)*3 + (-1568)/80. Let u(p) = -p**2 - 17*p + 39. Let b be u(d). Let f(j) = -8*j**2 - 2*j + 1. What is f(b)?
-9
Let b(y) = 4430*y - 4431*y + 2 - 8. Let v = -13 - -8. Calculate b(v).
-1
Let w be 1/(64/(-20) - -3). Let q(a) be the first derivative of -a**3/6 + 5*a**2/2 - 2*a + 4. Let x(i) be the first derivative of q(i). Determine x(w).
10
Let v be (-18)/21 + 41/7. Let o(x) = -1 - 5*x**2 + 0 + 0*x + x**3 + 5 + 3*x. What is o(v)?
19
Suppose 5*y - 9 = 3*r, -7*y + 17 = r - 2*y. Let o(d) = 3*d**2 - 5*d**2 + 3*d**2 - r*d**2 + 2 + 2*d. Calculate o(3).
-1
Let i(f) = -f**3 + 6*f**2 - 3*f + 3. Suppose -2*c + 2*k + 6 = 0, 0 = -c - 5*k - 6 + 3. Let s be (1 + 29)/(3/c). Let p = -14 + s. Determine i(p).
-15
Let c be (-6)/8 - 3/(-4). Let y(g) be the second derivative of c - 1/20*g**5 + g + 2/3*g**3 + 1/3*g**4 + 5/2*g**2. What is y(5)?
0
Let u(j) be the second derivative of j**4/12 + 5*j**3/6 + 4*j**2 - 192*j. What is u(-7)?
22
Suppose 45*g - 32 = 29*g. Let q(b) = 36*b - 7*b**g + 42*b - 79*b. Suppose -f + 6 = -5*m, -4*m - 5 = -1. Calculate q(f).
-8
Let g(q) = -13*q - 89. Let o(i) = 12*i + 79. Let f(p) = -8*g(p) - 9*o(p). Give f(5).
-19
Let l(a) be the second derivative of 0 + 0*a**2 - 4*a - 1/6*a**3. What is l(-7)?
7
Let n be (-3)/15*(-3 + 5 - 7). Let m(h) = -51*h**2 - 2*h + 1. Determine m(n).
-52
Let q(p) = -5*p + 6. Let o(v) = v - 1. Suppose -2 = -4*r + 2. Let a(n) = r*q(n) + 4*o(n). Suppose -279*b + 292*b = 78. Determine a(b).
-4
Let w(v) = -v + 2. Let m(d) = 3 + 10 + 4*d - 4*d - d. Let t be m(12). Let a be (t - -3) + -1 + 0. Calculate w(a).
-1
Let v(h) = h + 19. Let l be v(-19). Suppose l = 3*x + 4*k - 11, -6 = -4*x + 2*k + 16. Let w(q) = q**2 + 4*q - x*q + q + 6*q - 1. What is w(-4)?
-9
Let u(k) = k**3 - 9*k**2 + 8*k - 3. Let r be -4 - 85/(-10)*2. Suppose -r = -y + h, -5*y + 60 = h - 5*h. Calculate u(y).
-3
Let j(n) = 2*n**3 - 3*n**2 + 2*n - 3. Let p be (2/(-8) - 51/340)*-5. Determine j(p).
5
Suppose 0 = 5*g - 20, -j - 18 = -19*g + 17*g. Let l(k) = -k**2 - 10*k + 3. Calculate l(j).
3
Let u(n) = 4*n**2 + 3*n - 4. Let f(k) = -5*k - 147. Let g be f(-30). Give u(g).
41
Let x(n) = -n**3 - 5*n**2 - 4*n - 6. Suppose 20 = 5*p, -3*r = -2*p + 4*p - 107. Let u = r - 32. Let c be u/((-15)/6)*10. Give x(c).
-6
Let a(l) be the first derivative of 7*l**3/3 + l**2/2 - l + 113. Calculate a(1).
7
Let s(p) = -p**3 + 2*p**2 + p + 1. Suppose -45*c + 137 = 47. Give s(c).
3
Let j be 3 + (-28)/8 + 3/6. Let t(g) = g**3 - g + 40. Determine t(j).
40
Let h(b) = -4*b**2 - b. Let f be (-10)/(-4)*((-192)/15 - -12). Calculate h(f).
-14
Let s be (2/(-6))/((-5)/45). Suppose a = 4*w - 3*w - 2, s*w = -4*a + 20. Let i(q) = q**3 - 3*q**2 - 5*q - 1. What is i(w)?
-5
Suppose -3*u + 36 = -90. Suppose -g = -4*g + 6, -u = 5*a - g. Let p(y) = -y**2 - 8*y + 7. Let j be p(a). Let t(r) = r**3 - 8*r**2 + 9*r - 9. Calculate t(j).
5
Let y = -13 + 10. Let v(c) = c**2 + 3*c + 3. Let x be v(y). Let u(n) = x - 6 - 1 - n. Determine u(0).
-4
Let c(j) = j**3 - 5*j**2 + 3*j + 2. Suppose 8*k + p = 11*k + 52, -3*p = -2*k - 44. Let n be (-158)/(-8) + (-1)/(-4). Let t = n + k. Determine c(t).
-2
Let w(r) = r**2 - 2*r + 1. Let s be (-2 - 3) + (-1 - -4). Let n be s - (-3 + 6/(-2)). Suppose n*a = -a + 10. Give w(a).
1
Let z = -1443 + 1445. Let q(p) be the third derivative of 1/120*p**6 + 0 + 1/3*p**3 + 1/24*p**4 + 0*p + 10*p**z - 1/12*p**5. Give q(4).
-10
Let b(q) = 3 - 5*q**2 + 3 - 1 - 5*q + 4*q**2. Calculate b(-5).
5
Let u(z) = 4 + 7 - 21 + 1 - 2 - 2*z. Calculate u(-11).
11
Let w(r) = r**2 - r - 5. Suppose -5*s + 3*s + 4 = 0. Determine w(s).
-3
Let m(u) be the third derivative of -u**6/120 + u**5/15 + u**4/4 - u**3/6 + 2*u**2 + 13*u. Calculate m(4).
23
Let l(r) = -4*r + 5. Suppose 0 = -6*n + 40 + 8. Let d be (-1)/(-2) + -1 + 36/n. Give l(d).
-11
Let t(l) be the second derivative of -l**3/3 + 2*l**2 + l. Let x(j) = -j**3 - 11*j**2 - 21*j - 24. Let m be x(-9). Calculate t(m).
-2
Let s(p) = 29*p + 54. Let w be s(-2). Let b(u) = -u**2 - 3*u + 5. Determine b(w).
1
Suppose -z = 2*z - 36. Let c(u) = -19*u**2 + 14*u**2 + z*u**2. Let x be (-1)/3 - 16/(-12). Give c(x).
7
Let y be (9/6)/((-1)/(-2)). Suppose 0 = y*l + 4*a - a - 3, 0 = -2*l + 4*a + 8. Let v(s) = -s + 2*s + s**l + s**2 + s. Calculate v(2).
12
Let s be 606/(-8) + 25/(-100). Let a = s + 73. Let y(f) = -f**3 - 3*f**2 + 3*f - 4. What is y(a)?
-13
Let l(p) = -3*p**3 + 13*p**3 + 0*p - 11*p**3 + 6 - 7*p**2 - 11*p. Give l(-4).
2
Let z(v) = 4 + 8*v - 5 + v**2 + 3 - 9 - 10. Give z(-10).
3
Let h(j) be the third derivative of -j**6/120 + j**5/10 - j**4/4 + j**3/3 - 154*j**2. Calculate h(5).
-3
Let d be 2 - 0/(3 + 0). Let s(j) be the third derivative of -j**6/120 + j**5/12 - j**4/12 + j**3/6 - 7*j**2 - j. Determine s(d).
9
Let x(m) = 0*m + 4*m - 3*m. Let r(n) = -3*n + 2. Let a(l) = -r(l) - 4*x(l). Suppose 68*h = 20*h. Determine a(h).
-2
Let w(t) = 7 - t + 6*t - t**2 - 8 + 2*t + 10. Give w(8).
1
Let s(r) be the first derivative of r**3/3 - r**2/2 + 2*r - 70. Give s(3).
8
Let p(g) = 3*g**2 + 3*g + 3*g**2 - 4*g - 7*g**2. Let f be p(-3). Let y be 4/f*(7 + -4). Let h(o) = o**3 + 2*o**2 - o. Determine h(y).
2
Suppose 77*p + 27 = 86*p. Let w(u) = u**2 - 4*u + 2. Calculate w(p).
-1
Let f(g) be the first derivative of g**4/4 + 2*g**3 + g**2 - 7*g - 68. What is f(-5)?
8
Let h(j) = 2*j - 2. Suppose -37 = -4*m + 7. Suppose 5*b + m = 1. Give h(b).
-6
Let k(q) be the third derivative of -q**6/60 - q**5/20 - q**4/12 - q**3/3 - q**2 + 127*q. Give k(-2).
6
Let q(v) = -v - 1. Let y(n) = -n**3 + 7*n**2 - 4*n - 9. Let k be y(6). Suppose 2*x + 3*p + 1 = -k, 3*x + 3*p = -3. Determine q(x).
-2
Let l be (-24)/4*((-20)/8 - -4). Let f(y) = y**3 + 10*y**2 + 8*y - 12. Determine f(l).
-3
Suppose -5*b + 3*b = 8. Let i = 161 + -158. Let m(k) = -5*k**3 + 3*k**3 - 160*k - 3*k**2 + k**i + 3 + 164*k. What is m(b)?
3
Let s(r) = -4*r - 4 + r - 2*r**2 + 1. Suppose -3*n - 12 = 0, 113*q - 2*n - 16 = 117*q. What is s(q)?
-5
Let k(y) be the third derivative of -y**7/5040 + y**6/90 + y**5/6 - 13*y**2. Let a(t) be the third derivative of k(t). Give a(7).
1
Let t(c) = -4*c**3 + 3*c**3 + 1610*c + c**2 - 1 - 1606*c. Determine t(3).
-7
Let z(r) = -4*r - 54. Let c(q) = q**3 - 8*q**2 + 15*q - 32. Let s be c(6). Calculate z(s).
2
Let t(v) be the second derivative of -v**4/12 - v**3/6 + 5*v**2/2 - 5*v - 12. Let l be ((-1)/3)/((-2)/(-24)). Give t(l).
-7
Suppose -2*p + 15 = -3*p - 5*a, 4*a = -4*p + 4. Let c(m) = 3*m - 5 + 0*m - m**2 + 4*m. Calculate c(p).
5
Let l = 3 - 1. Let q(m) = 3 + m**2 - 3*m - l - 2*m**2. Let w = -1141 - -1135. Calculate q(w).
-17
Let t be 1*4 - (2 + -1). Suppose -5*l = -32 - t. Let i(x) be the first derivative of -x**2 + 8*x - 9. Determine i(l).
-6
Let b(s) = s**3 + 9*s**2 - s - 1. Let k be ((-4)/(-12) - 4/(-24))*-18. What is b(k)?
8
Let v(x) be the second derivative of x**5/
|
{
"pile_set_name": "DM Mathematics"
}
|
8.
-248, -127, -49, -3, 1, 4
Sort 4, 0.2, -6/1222223 in descending order.
4, 0.2, -6/1222223
Sort -2, 4, -2363103, 2, 1.
-2363103, -2, 1, 2, 4
Put -292/103, 1, -145.4 in decreasing order.
1, -292/103, -145.4
Put -172, 0, -25, 1, 2 in increasing order.
-172, -25, 0, 1, 2
Put 5, 1/7, -65, -5, -4844 in decreasing order.
5, 1/7, -5, -65, -4844
Put 1, 8866, -1425, 4 in ascending order.
-1425, 1, 4, 8866
Put 1, -43, 0, -3/7, 3, 50, -3 in descending order.
50, 3, 1, 0, -3/7, -3, -43
Put -157833, 8, -53 in increasing order.
-157833, -53, 8
Put -2/3, -42, 0.2, 2553405, 0 in decreasing order.
2553405, 0.2, 0, -2/3, -42
Sort 0.408529, 11, -0.4.
-0.4, 0.408529, 11
Put -7430, 0.97, -4/3 in decreasing order.
0.97, -4/3, -7430
Sort -31.68, 1/13, -1, -304 in increasing order.
-304, -31.68, -1, 1/13
Put -6, -1, 5, 0, 137, -3, -643 in decreasing order.
137, 5, 0, -1, -3, -6, -643
Sort 0, -95, -532, -107.
-532, -107, -95, 0
Sort -2, -0.2, -0.4, 1.3, 147764 in ascending order.
-2, -0.4, -0.2, 1.3, 147764
Put -3, 3160, 3, 9, 0, -5, -1 in decreasing order.
3160, 9, 3, 0, -1, -3, -5
Sort -11/6, 0.305, 1/213 in descending order.
0.305, 1/213, -11/6
Sort 3, 0.2, -0.6, 154364 in descending order.
154364, 3, 0.2, -0.6
Sort 4, -12, 5, -3, -1233, -4 in descending order.
5, 4, -3, -4, -12, -1233
Sort -103, -4, 194, 0, -1, 5 in ascending order.
-103, -4, -1, 0, 5, 194
Put -19/2, -340, -95/7, 9 in ascending order.
-340, -95/7, -19/2, 9
Put 1655, 395, 4, -67, -4 in increasing order.
-67, -4, 4, 395, 1655
Put -8, 3, -3, -29425 in ascending order.
-29425, -8, -3, 3
Sort 1, 6.173, 1.6, -5, 21, -4 in ascending order.
-5, -4, 1, 1.6, 6.173, 21
Sort -5/31, 43, -6, -8/23, -0.5 in descending order.
43, -5/31, -8/23, -0.5, -6
Sort -2, 232, -0.09, -3, -113, 1/2 in increasing order.
-113, -3, -2, -0.09, 1/2, 232
Sort -5, 5/6, -31.3, 0, 9/2, -2/9 in increasing order.
-31.3, -5, -2/9, 0, 5/6, 9/2
Sort 47, -5, 0, 4632, 3.
-5, 0, 3, 47, 4632
Put -213, 4, -11, 9, 2 in decreasing order.
9, 4, 2, -11, -213
Put -126, 3, -28, 16, -34, 0 in ascending order.
-126, -34, -28, 0, 3, 16
Sort 5/2, 3, 2/86507, 2/5, -3/5 in decreasing order.
3, 5/2, 2/5, 2/86507, -3/5
Sort -3/5, 2, 3/14, 5, -323 in decreasing order.
5, 2, 3/14, -3/5, -323
Put -31, 6/13, 156, -7 in increasing order.
-31, -7, 6/13, 156
Sort -36882, 0, 17, 5, -4 in ascending order.
-36882, -4, 0, 5, 17
Sort 2594.7603, 0.3, -5 in increasing order.
-5, 0.3, 2594.7603
Sort 61, -9, 91903 in decreasing order.
91903, 61, -9
Put 319, -4, 9, 391, 1, -2 in decreasing order.
391, 319, 9, 1, -2, -4
Put -2, -13, 4, -137, -4, -9, 84 in descending order.
84, 4, -2, -4, -9, -13, -137
Put -2, 6, 923, 2, 121, 5 in decreasing order.
923, 121, 6, 5, 2, -2
Sort 5, -25, 1, 0, 2, 346 in descending order.
346, 5, 2, 1, 0, -25
Put -112, -6, -1, -28315 in increasing order.
-28315, -112, -6, -1
Sort -5, -82, 1, -159.
-159, -82, -5, 1
Put 14748, 0.1, 2/615 in ascending order.
2/615, 0.1, 14748
Sort 2, -59, -9, -534, 5 in increasing order.
-534, -59, -9, 2, 5
Put 2, -0.325916, 16/7 in decreasing order.
16/7, 2, -0.325916
Sort 0, 0.5, -0.1, -15, 358.8 in descending order.
358.8, 0.5, 0, -0.1, -15
Put -96, 4, 0.425, -1/8, 2 in descending order.
4, 2, 0.425, -1/8, -96
Put -1, 5, 0, -6, 2, 112 in decreasing order.
112, 5, 2, 0, -1, -6
Sort 23767, 386, 3 in decreasing order.
23767, 386, 3
Sort -4, 1, -233, -143, 4, 13 in ascending order.
-233, -143, -4, 1, 4, 13
Put 1, 1992, -51/23, 0 in ascending order.
-51/23, 0, 1, 1992
Sort 1, -1390, -7, 2, 6, 5, -1 in ascending order.
-1390, -7, -1, 1, 2, 5, 6
Put 2/15, -1, 0.080076, -1/7, 1/4 in decreasing order.
1/4, 2/15, 0.080076, -1/7, -1
Put -4/7, -3, 1, -8/21, 3, 4588 in decreasing order.
4588, 3, 1, -8/21, -4/7, -3
Put 3, 4, 5, 305, -24, 78 in descending order.
305, 78, 5, 4, 3, -24
Put 5, 2, 960, 5.95, 0.5 in increasing order.
0.5, 2, 5, 5.95, 960
Put 1/4, 8, 7.16, -0.4, -1, 1 in decreasing order.
8, 7.16, 1, 1/4, -0.4, -1
Put 3/8, -8, 0.5, 10.3, 239 in descending order.
239, 10.3, 0.5, 3/8, -8
Sort 17, 256, -2, 11, 0 in decreasing order.
256, 17, 11, 0, -2
Sort -3, -168, -43, 16 in descending order.
16, -3, -43, -168
Sort 2, -466097, 6, 1 in ascending order.
-466097, 1, 2, 6
Sort 51, -3, 2.1, 4, -0.32, -47 in descending order.
51, 4, 2.1, -0.32, -3, -47
Put 0.1881, 4, 11, 1/3 in increasing order.
0.1881, 1/3, 4, 11
Put -4079/18, 153, -1 in increasing order.
-4079/18, -1, 153
Sort -387, 4, -22, -5, 27, 3 in increasing order.
-387, -22, -5, 3, 4, 27
Put 0, 127718, 4, 13 in increasing order.
0, 4, 13, 127718
Sort -25, -6, -30131, -3, -1.
-30131, -25, -6, -3, -1
Sort -2, 0.07, 907970 in descending order.
907970, 0.07, -2
Put 231, -302, -1/8, 6, 1/4, -5 in descending order.
231, 6, 1/4, -1/8, -5, -302
Sort -12, 1156, 17, 20, 2.
-12, 2, 17, 20, 1156
Sort 1/3, -6.33, 386/9, -3.6 in increasing order.
-6.33, -3.6, 1/3, 386/9
Put -2836/25517, 3, -0.5, -1, 2 in increasing order.
-1, -0.5, -2836/25517, 2, 3
Put 4770, 709, 4 in decreasing order.
4770, 709, 4
Sort -2/7, -871, -4, -2, -25.1.
-871, -25.1, -4, -2, -2/7
Sort -4/7, 4/21, -107, -0.2, -0.1.
-107, -4/7, -0.2, -0.1, 4/21
Sort -1564, -4, 510, -2 in decreasing order.
510, -2, -4, -1564
Sort 3, -5, -2, 2, 16, 12, -414 in ascending order.
-414, -5, -2, 2, 3, 12, 16
Put 4, 2, -19.3, -13.86 in descending order.
4, 2, -13.86, -19.3
Put 7, 3, -1, -16924, 0 in decreasing order.
7, 3, 0, -1, -16924
Sort 0, -5, -4, -236, -2, -1, 4 in increasing order.
-236, -5, -4, -2, -1, 0, 4
Sort -0.4, 61/2, 144.42 in descending order.
144.42, 61/2, -0.4
Sort -85992, -6, -5, -1, 0, 1 in descending order.
1, 0, -1, -5, -6, -85992
Put -19, -33403, 5 in ascending order.
-33403, -19, 5
Sort -10, 5, -3, -105913.
-105913, -10, -3, 5
Put -2/13, 0.3, -6, 0, -3, -781622 in decreasing order.
0.3, 0, -2/13, -3, -6, -781622
Put 3, -4616.2, -1, 1/2, -26 in descending order.
3, 1/2, -1, -26, -4616.2
Sort -2, 4, -4/7, -1/8, -1/2, -1987 in descending order.
4, -1/8, -1/2, -4/7, -2, -1987
Sort -23, 3, -4, -6, -622, -3, 1 in increasing order.
-622, -23, -6, -4, -3, 1, 3
Sort 402/25, 475, -4.
-4, 402/25, 475
Sort 665372, 0.1, 3, 66 in ascending order.
0.1, 3, 66, 665372
Put -0.1, 447, -0.01, 0.2 in decreasing order.
447, 0.2, -0.01, -0.1
Sort -296481, 0, -4, -3, 4, 3, 2.
-296481, -4, -3, 0, 2, 3, 4
Sort 1, 13, 114, 3, -4, -165, -1 in decreasing order.
114, 13, 3, 1, -1, -4, -165
Put 0.14, 25, -13, -5, 5, -1/3, -1 in decreasing order.
25, 5, 0.14, -1/3, -1, -5, -13
Put -5, -0.03, 5/12, 1, 0, 85 in increasing order.
-5, -0.03, 0, 5/12, 1, 85
Sort 212, -4/3, -84843 in ascending order.
-84843, -4/3, 212
Put 1, -5, 5, -2, -94, -7, 12 in increasing order.
-94, -7, -5, -2, 1, 5, 12
Sort -19696, 3, 28, -3, 5 in ascending order.
-19696, -3, 3, 5, 28
Put -2/7, 5, -0.2, -6468, 0, -0.01 in ascending order.
-6468, -2/7, -0.2, -0.01, 0, 5
Put 150.1557, 2/3, 0.5, -5 in decreasing order.
150.1557, 2/3, 0.5, -5
Sort 1, -874, 5, 300, -3.
-874, -3, 1, 5, 300
Put 1, -2/7, 25, 71/6, 0 in decreasing order.
25, 71/6, 1, 0, -2/7
Put -2/7, -3, 1/6, -303, -1/3, 249 in decreasing order.
249, 1/6, -2/7, -1/3, -3, -303
Sort 295/3, 0.22, -2/3, 4, 0, 7.
-2/3, 0, 0.22, 4, 7, 295/3
Put -1831, -0.6, -60 in decreasing order.
-0.6, -60, -1831
Sort 5, 6340784, -2, 0, -4 in increasing order.
-4, -2, 0, 5, 6340784
Put 1, -18599, 3, -12, 2 in decreasing order.
3, 2, 1, -12, -18599
Sort -5, 23, -242, -271, 3 in increasing order.
-271, -242, -5, 3, 23
Put -588.096, -4, 0.27 in descending order.
0.27, -4, -588.096
Sort 2, 3, -2, -4, 1, -784065, 0 in ascending order.
-784065, -4, -2, 0, 1, 2, 3
Put -0.2, 0.3, 80473887 in increasing order.
-0.2, 0.3, 80473887
Sort 0.3, -0.0775, -3/5, 0.116 in ascending order.
-3/5, -0.0775, 0.116, 0.3
Sort 5, 4, -1220, -3790 in increasing order.
-3790, -1220, 4, 5
Put 2, 4005762, -3 in descending order.
4005762, 2, -3
Put -0.11, 5, 139239, -2 in descending order.
139239, 5, -0.11, -2
Sort 19, 118, 5, -9, -380 in descending order.
118, 19, 5, -9, -380
Sort 213, -226, 38.
-226, 38, 213
Put 116, 25, -80, -32 in ascending order.
-80, -32, 25, 116
Sort 1, -16, -4, 2, 13, -36, -362 in ascending order.
-362, -36, -16, -4, 1, 2, 13
Put -9, 5, -1, -7, 4, 244, -3 in descending order.
244, 5, 4, -1, -3, -7, -9
Sort 1, -0.06, -0.0086, 78, 1/
|
{
"pile_set_name": "DM Mathematics"
}
|
3:06 AM
How many minutes are there between 9:32 PM and 2:24 AM?
292
What is 90 minutes before 7:10 AM?
5:40 AM
How many minutes are there between 12:37 PM and 1:10 PM?
33
What is 141 minutes after 9:24 PM?
11:45 PM
How many minutes are there between 4:11 PM and 1:52 AM?
581
How many minutes are there between 12:18 PM and 11:33 PM?
675
What is 709 minutes after 7:07 AM?
6:56 PM
What is 406 minutes after 8:14 AM?
3:00 PM
How many minutes are there between 8:40 PM and 11:12 PM?
152
What is 617 minutes after 11:44 PM?
10:01 AM
What is 488 minutes before 11:47 AM?
3:39 AM
How many minutes are there between 10:49 PM and 11:58 PM?
69
How many minutes are there between 1:30 AM and 4:53 AM?
203
What is 703 minutes after 6:47 PM?
6:30 AM
What is 137 minutes after 12:39 AM?
2:56 AM
How many minutes are there between 9:21 AM and 8:22 PM?
661
What is 662 minutes after 7:12 PM?
6:14 AM
How many minutes are there between 8:25 PM and 12:31 AM?
246
What is 474 minutes before 8:10 AM?
12:16 AM
What is 660 minutes before 2:33 PM?
3:33 AM
What is 416 minutes after 9:15 AM?
4:11 PM
What is 388 minutes before 12:33 AM?
6:05 PM
What is 253 minutes after 9:01 PM?
1:14 AM
What is 687 minutes before 11:49 AM?
12:22 AM
What is 238 minutes after 10:39 PM?
2:37 AM
What is 703 minutes after 9:05 PM?
8:48 AM
What is 141 minutes after 1:31 PM?
3:52 PM
What is 132 minutes before 8:28 PM?
6:16 PM
What is 419 minutes after 4:29 AM?
11:28 AM
How many minutes are there between 3:43 AM and 1:54 PM?
611
How many minutes are there between 9:35 AM and 8:54 PM?
679
What is 675 minutes after 9:00 AM?
8:15 PM
How many minutes are there between 11:40 PM and 9:52 AM?
612
What is 655 minutes after 2:09 AM?
1:04 PM
How many minutes are there between 2:29 AM and 1:56 PM?
687
What is 387 minutes before 11:32 PM?
5:05 PM
What is 706 minutes after 7:05 PM?
6:51 AM
How many minutes are there between 6:13 PM and 10:17 PM?
244
How many minutes are there between 4:44 AM and 3:08 PM?
624
What is 207 minutes before 11:24 AM?
7:57 AM
What is 255 minutes before 9:56 AM?
5:41 AM
What is 670 minutes after 12:55 PM?
12:05 AM
How many minutes are there between 5:29 PM and 4:12 AM?
643
What is 543 minutes after 10:38 AM?
7:41 PM
What is 283 minutes after 12:33 AM?
5:16 AM
How many minutes are there between 2:25 PM and 4:12 PM?
107
What is 504 minutes after 3:08 AM?
11:32 AM
How many minutes are there between 3:22 PM and 11:14 PM?
472
What is 470 minutes before 5:50 PM?
10:00 AM
What is 139 minutes after 2:11 AM?
4:30 AM
What is 688 minutes after 7:56 PM?
7:24 AM
How many minutes are there between 6:25 AM and 11:48 AM?
323
What is 172 minutes after 11:43 AM?
2:35 PM
What is 557 minutes before 8:30 PM?
11:13 AM
What is 59 minutes after 8:15 PM?
9:14 PM
How many minutes are there between 6:12 AM and 3:18 PM?
546
How many minutes are there between 1:30 AM and 5:07 AM?
217
How many minutes are there between 3:42 AM and 9:07 AM?
325
How many minutes are there between 1:48 AM and 2:29 AM?
41
How many minutes are there between 11:01 PM and 8:47 AM?
586
How many minutes are there between 8:45 AM and 1:24 PM?
279
What is 690 minutes before 6:25 PM?
6:55 AM
What is 332 minutes before 12:00 AM?
6:28 PM
What is 641 minutes after 2:21 PM?
1:02 AM
What is 525 minutes after 2:48 AM?
11:33 AM
How many minutes are there between 1:55 PM and 9:04 PM?
429
What is 401 minutes before 7:12 AM?
12:31 AM
What is 40 minutes before 2:06 AM?
1:26 AM
What is 60 minutes before 10:28 AM?
9:28 AM
What is 657 minutes before 3:55 PM?
4:58 AM
What is 462 minutes after 1:09 AM?
8:51 AM
What is 704 minutes after 5:45 AM?
5:29 PM
What is 423 minutes before 3:07 AM?
8:04 PM
How many minutes are there between 6:56 AM and 11:51 AM?
295
What is 428 minutes after 11:15 AM?
6:23 PM
What is 167 minutes after 10:47 PM?
1:34 AM
How many minutes are there between 1:11 PM and 9:05 PM?
474
How many minutes are there between 1:34 PM and 12:41 AM?
667
How many minutes are there between 10:28 AM and 1:15 PM?
167
What is 492 minutes after 9:49 PM?
6:01 AM
How many minutes are there between 12:02 AM and 9:15 AM?
553
How many minutes are there between 4:59 AM and 10:21 AM?
322
What is 596 minutes before 7:26 AM?
9:30 PM
What is 458 minutes after 8:19 PM?
3:57 AM
What is 505 minutes after 12:02 PM?
8:27 PM
What is 305 minutes before 2:40 PM?
9:35 AM
How many minutes are there between 4:47 AM and 5:35 AM?
48
What is 88 minutes before 1:34 AM?
12:06 AM
What is 639 minutes after 3:22 AM?
2:01 PM
What is 277 minutes after 3:17 PM?
7:54 PM
How many minutes are there between 7:51 AM and 5:07 PM?
556
How many minutes are there between 4:43 PM and 2:42 AM?
599
How many minutes are there between 1:43 AM and 3:11 AM?
88
How many minutes are there between 2:17 PM and 9:07 PM?
410
How many minutes are there between 1:50 PM and 2:59 PM?
69
What is 670 minutes before 6:02 AM?
6:52 PM
How many minutes are there between 4:27 AM and 7:13 AM?
166
What is 404 minutes after 8:34 AM?
3:18 PM
What is 195 minutes after 2:14 AM?
5:29 AM
How many minutes are there between 7:24 PM and 8:13 PM?
49
What is 88 minutes after 3:04 PM?
4:32 PM
What is 492 minutes before 3:58 PM?
7:46 AM
How many minutes are there between 7:08 AM and 8:08 AM?
60
How many minutes are there between 1:52 AM and 8:34 AM?
402
What is 419 minutes after 1:23 PM?
8:22 PM
How many minutes are there between 12:02 PM and 2:57 PM?
175
How many minutes are there between 12:33 PM and 1:25 PM?
52
How many minutes are there between 7:26 PM and 10:02 PM?
156
How many minutes are there between 4:55 AM and 12:33 PM?
458
How many minutes are there between 5:13 AM and 7:35 AM?
142
What is 194 minutes before 2:16 AM?
11:02 PM
What is 144 minutes after 1:49 AM?
4:13 AM
What is 103 minutes after 10:49 AM?
12:32 PM
What is 54 minutes before 7:30 PM?
6:36 PM
What is 680 minutes after 7:46 PM?
7:06 AM
How many minutes are there between 3:19 PM and 10:18 PM?
419
How many minutes are there between 7:55 PM and 10:05 PM?
130
How many minutes are there between 3:36 AM and 9:13 AM?
337
What is 69 minutes before 4:00 PM?
2:51 PM
How many minutes are there between 12:53 PM and 1:32 PM?
39
How many minutes are there between 3:38 AM and 3:17 PM?
699
What is 677 minutes after 1:24 PM?
12:41 AM
How many minutes are there between 6:48 AM and 6:35 PM?
707
What is 576 minutes after 6:34 PM?
4:10 AM
How many minutes are there between 2:47 PM and 5:51 PM?
184
How many minutes are there between 7:07 AM and 3:00 PM?
473
What is 52 minutes after 6:17 AM?
7:09 AM
What is 492 minutes before 5:00 AM?
8:48 PM
What is 91 minutes after 2:30 PM?
4:01 PM
How many minutes are there between 8:34 AM and 6:51 PM?
617
What is 376 minutes before 4:55 AM?
10:39 PM
What is 420 minutes after 11:03 AM?
6:03 PM
What is 341 minutes before 10:14 PM?
4:33 PM
What is 332 minutes before 10:30 PM?
4:58 PM
How many minutes are there between 4:52 AM and 6:55 AM?
123
How many minutes are there between 2:40 AM and 3:19 AM?
39
How many minutes are there between 6:57 PM and 6:17 AM?
680
What is 289 minutes after 4:47 AM?
9:36 AM
How many minutes are there between 10:54 PM and 9:56 AM?
662
What is 310 minutes after 2:40 PM?
7:50 PM
What is 445 minutes after 7:48 PM?
3:13 AM
What is 697 minutes after 6:04 AM?
5:41 PM
What is 682 minutes before 2:01 PM?
2:39 AM
What is 466 minutes after 7:38 PM?
3:24 AM
How many minutes are there between 5:54 AM and 12:35 PM?
401
How many minutes are there between 5:48 AM and 11:06 AM?
318
How many minutes are there between 4:41 PM and 1:25 AM?
524
How many minutes are there between 9:05 PM and 3:19 AM?
374
How many minutes are there between 10:29 PM and 11:32 PM?
63
What is 101 minutes after 8:59 AM?
10:40 AM
How many minutes are there between 8:47 PM and 6:30 AM?
583
How many minutes are there between 3:57 AM and 3:14 PM?
677
What is 439 minutes after 4:26 PM?
11:45 PM
How many minutes are there between 5:30 AM and 6:11 AM?
41
How many minutes are there between 12:21 AM and 3:36 AM?
195
How many minutes are there between 9:45 AM and 4:10 PM?
385
How many minutes are there between 9:55 PM and 3:00 AM?
305
How many minutes are there between 7:16 PM and 4:59 AM?
583
What is 123 minutes after 4:48 PM?
6:51 PM
How many minutes are there between 8:21 AM and
|
{
"pile_set_name": "DM Mathematics"
}
|
= -142*h + 792. Give l(0).
792
Let s(l) = 115*l**2 + 490*l + 3342. Give s(-7).
5547
Let p(f) = 141*f + 11192. Determine p(-79).
53
Let o(v) = -v**2 + 861*v + 360020. Give o(-308).
-32
Let l(g) = -g**2 + 16362*g + 491765. Give l(-30).
5
Let p(d) = -3*d**2 + 3227*d - 84976. What is p(27)?
-34
Let f(i) = -i**3 - 38*i**2 + 455*i - 117. Give f(-48).
1083
Let l(s) = -15793*s - 3600808. What is l(-228)?
-4
Let l(d) = 28*d**3 - 195*d**2 + 70*d - 511. Calculate l(7).
28
Let g(b) = -8*b**3 + 11*b**2 + 223*b + 16. Calculate g(0).
16
Let d(q) = -1654*q - 5892. Give d(-3).
-930
Let f(b) = -675*b + 7202. Calculate f(11).
-223
Let c(g) = 13*g**2 - 210*g + 827. Calculate c(4).
195
Let y(a) = 4562*a + 1386865. Calculate y(-304).
17
Let s(j) = j**3 - 738*j**2 - 19882*j - 466. Give s(-26).
2
Let m(c) = -52*c**2 - 63*c - 427. Give m(-7).
-2534
Let x(v) = 3020869*v - 12083474. Determine x(4).
2
Let j(y) = 299*y + 76235. Give j(-255).
-10
Let i(k) = -967*k**2 - 278496*k + 8. Calculate i(-288).
8
Let m(w) = -1453*w + 21505. Determine m(18).
-4649
Let t(z) = -3046*z - 27423. Determine t(-9).
-9
Let w(k) = -72*k + 1101. Give w(18).
-195
Let b(p) = 25190*p - 327357. Calculate b(13).
113
Let x(n) = 3*n**3 + 5*n**2 + 11*n + 6. Calculate x(-1).
-3
Let g(p) = 139*p**2 + 416*p - 831. Give g(2).
557
Let o(g) = 46138*g - 184891. Determine o(4).
-339
Let d(l) = 6*l**2 + 387*l - 6985. What is d(15)?
170
Let o(j) = j**3 + 73*j**2 + 1166*j - 2999. Determine o(-29).
191
Let l(j) = -18656*j - 727639. Calculate l(-39).
-55
Let k(c) = 4258*c - 1102826. Calculate k(259).
-4
Let y(m) = 74*m**2 - 143*m + 301. Give y(0).
301
Let m(w) = 91359*w + 91353. What is m(-1)?
-6
Let d(s) = -2*s**3 - 80*s**2 - 61*s - 664. Calculate d(-39).
-1327
Let p(t) = -t**2 - 20*t + 539. Determine p(8).
315
Let m(c) = c**2 - 6914*c - 152676. Calculate m(-22).
-84
Let z(c) = -12*c**2 + 3168*c + 29484. Determine z(273).
0
Let l(c) = -c**3 - 37*c**2 + 855*c + 20285. Calculate l(-46).
-1
Let a(y) = -42068*y - 1219969. Calculate a(-29).
3
Let c(v) = -25*v**2 + 521*v + 41. What is c(22)?
-597
Let s(x) = 8*x + 137. What is s(16)?
265
Let m(u) = -1976*u + 94981. Calculate m(48).
133
Let v(s) = -2*s**2 + 881*s + 116506. Calculate v(547).
-5
Let h(q) = 8*q**2 + 140*q - 42. What is h(-17)?
-110
Let o(m) = 2027152*m + 18244367. Determine o(-9).
-1
Let z(o) = -1363*o - 526817. What is z(-386)?
-699
Let s(f) = 2862*f**2 - 145961*f - 31. Give s(51).
20
Let t(c) = -9*c**3 - 91*c**2 + c + 21. Give t(-7).
-1358
Let m(h) = -4*h**2 - 22*h + 442. Give m(11).
-284
Let o(n) = -n**3 - 21*n**2 + 1408*n + 17192. Calculate o(-12).
-1000
Let r(s) = -101*s + 4021. Give r(36).
385
Let k(o) = 984*o - 364073. What is k(370)?
7
Let o(t) = 3*t**3 + 180*t**2 + 1309*t + 6. What is o(-8)?
-482
Let p(w) = -14734*w - 309407. Give p(-21).
7
Let u(k) = -k**3 + 54*k**2 + 127*k - 828. What is u(56)?
12
Let f(j) = j**3 - 10*j**2 - 4048*j + 63241. What is f(16)?
9
Let x(h) = 7*h**2 - 494*h - 1485. Determine x(-3).
60
Let l(o) = -480*o**2 + 60*o - 15. What is l(1)?
-435
Let c(h) = -h**3 - 6*h**2 + 324*h + 2625. Give c(-9).
-48
Let n(v) = -12003*v + 1236312. Calculate n(103).
3
Let k(d) = -5183*d + 1181694. What is k(228)?
-30
Let v(w) = 18207*w + 691503. Determine v(-38).
-363
Let f(r) = 5516*r**2 - 55197*r + 365. Give f(10).
-5
Let w(v) = v**2 + 2012*v + 12022. Determine w(-6).
-14
Let t(l) = -242*l - 1838. What is t(-7)?
-144
Let n(m) = 8*m**2 - 7524*m + 30255. Determine n(4).
287
Let u(r) = -r**3 + 35*r**2 - 43*r - 484. Calculate u(33).
275
Let p(n) = -14*n**3 + 2000*n**2 + 335*n - 6997. Give p(143).
10
Let x(r) = 21*r**2 - 34*r + 33. Calculate x(-5).
728
Let k(x) = -93*x - 4840. Give k(-54).
182
Let h(z) = -87442*z + 612107. Give h(7).
13
Let j(u) = -u**3 - 43*u**2 - 515*u - 21. Calculate j(-24).
1395
Let j(g) = -8398*g - 32372. Calculate j(-4).
1220
Let u(g) = -2*g**3 - 118*g**2 + 374*g + 175. What is u(-62)?
51
Let q(u) = -43*u**3 - 301*u**2 - 11*u - 7. Give q(-7).
70
Let c(k) = -476155*k + 1. Give c(0).
1
Let a(l) = -l**3 + 14*l**2 + 220*l + 7662. Give a(30).
-138
Let o(s) = 182*s - 920. Determine o(6).
172
Let d(i) = -110*i + 3113. Determine d(23).
583
Let m(x) = -2*x**3 + 352*x**2 + 1074*x + 367. Determine m(179).
367
Let m(p) = -283236*p + 2265861. Calculate m(8).
-27
Let k(x) = 21*x**2 - 124*x + 4. What is k(6)?
16
Let d(l) = -9*l**2 - 138*l - 476. What is d(-8)?
52
Let p(u) = -u**3 - 21*u**2 + 203*u + 292. What is p(-28)?
96
Let b(n) = n**2 - 298*n - 4716. Give b(313).
-21
Let f(a) = 6*a**3 - a**2 - 195*a + 195. What is f(1)?
5
Let l(c) = -16*c**2 + 287*c + 269. Determine l(19).
-54
Let j(n) = 3*n**3 - 204*n**2 - 412*n - 566. Calculate j(70).
-6
Let o(d) = -2247*d + 38265. Give o(17).
66
Let v(s) = -2*s**2 - 15833*s + 47523. Determine v(3).
6
Let n(p) = 55*p**3 - 3*p**2 - 58*p - 91. Determine n(-2).
-427
Let x(q) = -30*q**2 - 571*q - 2341. Give x(-13).
12
Let j(g) = -1215*g + 120261. Calculate j(99).
-24
Let z(t) = -3*t**3 - 142*t**2 + 129*t + 1094. Determine z(-48).
-490
Let m(w) = -w**3 - 96*w**2 + 801*w + 350. What is m(8)?
102
Let t(d) = 2*d**3 + 30*d**2 - 181*d + 84. Determine t(4).
-32
Let y(m) = 96*m**2 - 2395*m - 5241. What is y(27)?
78
Let r(z) = -z**2 - 2248*z + 29435. Calculate r(13).
42
Let o(q) = -7*q**3 + 250*q**2 - 111*q - 2245. What is o(35)?
-5
Let b(z) = 107*z**2 - 213*z - 392. What is b(3)?
-68
Let b(t) = 434*t**2 + 49037*t - 565. Give b(-113).
0
Let x(a) = -5*a**3 + 199*a**2 + 406*a + 9. Determine x(-2).
33
Let l(t) = -t**2 - 642*t + 70753. Give l(93).
2398
Let i(t) = -4*t**2 + 567*t - 19182. Give i(86).
-4
Let c(t) = -235*t**2 + 2138*t + 1. Determine c(9).
208
Let l(q) = 10*q**3 + 122*q**2 + 308*q + 3347. What is l(-12)?
-61
Let b(z) = 5*z**2 + 214*z - 300. Determine b(-55).
3055
Let k(j) = -4*j**2 + 139*j - 714. Calculate k(23).
367
Let h(a) = -a**3 - 5*a**2 + 34*a - 22. What is h(-7)?
-162
Let a(r) = r**3 - 215*r**2 + 358*r + 14483. Determine a(213).
-1
Let c(v) = 2402*v + 21579. Determine c(-9).
-39
Let d(i) = -2981*i - 17804. What is d(-6)?
82
Let i(x) = 3*x**2 + 1283*x + 68022. Calculate i(-62).
8
Let c(x) = -10026*x + 59875. What is c(6)?
-281
Let g(z) = z**3 - 31*z**2 + 1324*z - 20808. What is g(19)?
16
Let v(b) = -4*b**3 + 43*b**2 + 10*b - 191. Calculate v(9).
466
Let i(j) = 3*j**3 - 882*j**2 + 1745*j + 2003. Calculate i(292).
-41
Let j(c) = 2*c**3 + c**2 - 47*c - 77. Calculate j(-5).
-67
Let b(k) = 1807470*k - 11. What is b(0)?
-11
Let j(a) = -42*a**2 - 128*a + 1275. Determine j(-7).
113
Let c(z) = 5*z**3 + 79*z**2 + 327*z + 113. Determine c(-6).
-85
Let i(l) = -8311*l + 14004039. What is i(1685)?
4
Let a(u) = -330*u + 4023. Give a(12).
63
Let u(w) = w**3 - 533*w**2 + 574*w - 22388. What is u(532)?
-44
Let z(t) = 16*t - 3410. Determine z(215).
30
Let h(r) = 18*r**2 - 10*r - 432. Give h(-7).
520
Let l(f) = -14*f**2 + 609*f + 7496. What is l(-10)?
6
Let i(h) = h**3 - 96*h**2 + 268*h + 1016. Calculate i(93).
-7
Let v(m) = -909*m + 4875. Determine v(4).
1239
Let t(r) = 3317*r + 1695022. Give t(-511).
35
Let k(m) = -2*m**3 - 6*m**2 - 596*m - 2405. Calculate k(-4).
11
Let h(p) = 19*p**2 + 11733*p + 140598. Give h(-12).
2538
Let k(m) = -1903*m + 36031. Calculate k(19).
-126
Let b(q) = 16*q**2 + 3280*q + 5950. Give b(-203).
-546
Let b(l) = 80*l + 4558. Determine b(-51).
478
Let p(g) = 23568*g + 4124386. Give p(-175).
-14
Let z(h) = 1154583*h + 2309131. Calculate z(-2).
-35
Let u(j) = 5*j**2 + 17*j + 1. What is u(-1)?
-11
Let w(p) = 3*p**3 + 61*p**2 - 10*p - 500. Calculate w(3).
100
Let v(x) = -7484*x + 785830. Give v(105).
10
Let h(u) = 789*u**2 + 2515*u - 2. Give h(-3).
-446
Let j(w) = w**3 - 86*w**2 - 41*w + 4745. What is j(86)?
1219
Let u(c) = 10*c**3 + 13*c**2 + 38*c + 13. Calculate u(-3).
-254
Let w(t) = -2*t**3 - 14*t**2 + 451*t + 3824. What is w(-13)?
-11
Let g(h) = h**2 + 1832*h + 71770. What is g(-40)?
90
Let v(q) = 5*q**2 + 8*q + 62. Calculate v(-9).
395
Let s(b) = 628*b**2 + 95452*b - 651. What is s(-152)?
-43
Let v(r) = -r**3 - 49*r**2 - 524*r - 72. What is v(-33)?
-204
Let z(y) = -58*y**2 + 265*y + 395. Give z(-1).
72
Let x(p) = p**2 - 93*p + 1256. Calculate x(38).
-834
Let l(v) = -537*v + 84836. Give l(158).
-10
Let d(m) = -8313*m - 108450. What is d(-13)?
-381
Let z(f) = -2*f**2 + 82*f + 67270. Calcu
|
{
"pile_set_name": "DM Mathematics"
}
|
g**2 + 124*g + 633 + 221.
-23*g**2 + 854
Collect the terms in -4081*u + 12218*u - 4070*u + 2 - 2 - 4071*u.
-4*u
Collect the terms in 104347 - 206888 + 2*p - 3*p + 102541.
-p
Collect the terms in 302 - 2036*f**2 + 255 + 2040*f**2 - 557.
4*f**2
Collect the terms in 1 - 79194*m**3 - 79619*m**3 - 1 + 158816*m**3.
3*m**3
Collect the terms in 2378*v + 120*v - 2041*v.
457*v
Collect the terms in 558040 + 19*u + 557936 - 1115973.
19*u + 3
Collect the terms in -23 + 294778*o - 294776*o + 6.
2*o - 17
Collect the terms in 3125*q - 3*q**2 + 5*q**2 - 8449*q + 5324*q.
2*q**2
Collect the terms in -1667 - 1674 - 613 + 2*o**2 + 3954.
2*o**2
Collect the terms in -14059*q**2 - 66 + 29652*q**2 - 14921*q**2 + 66.
672*q**2
Collect the terms in -49607*l + 49609*l - 40*l**2 + 60*l**2.
20*l**2 + 2*l
Collect the terms in -2779*u + 5289*u - 2519*u.
-9*u
Collect the terms in -30664*t**3 - 115720*t**3 - 195505*t**3.
-341889*t**3
Collect the terms in -137849*l + 156562*l + 235163*l + 51818*l.
305694*l
Collect the terms in 1152 - 290 - 287 - 283 - 290 - 384*n.
-384*n + 2
Collect the terms in 2015*z**2 + 4*z**3 + 2031*z**2 + 2038*z**2 - 6084*z**2.
4*z**3
Collect the terms in 401 - 170 - 72 + 877*p - 159.
877*p
Collect the terms in 15*v**2 - 25*v**2 - 77 + 1294*v + 77 + 12*v**2.
2*v**2 + 1294*v
Collect the terms in -1164*a**3 - 4575719029*a + 1168*a**3 + 4575719029*a.
4*a**3
Collect the terms in -1852860*f**3 + 926693*f**3 + 926186*f**3.
19*f**3
Collect the terms in 32*f + 5 - 17*f + 26*f - 11*f + 2*f + 14*f.
46*f + 5
Collect the terms in 729 + 1554 - 7*g**2 + 3989 - 2*g**2 + 1354.
-9*g**2 + 7626
Collect the terms in -546 - 497 - 15*q + 1554 - 510.
-15*q + 1
Collect the terms in 1542446154 - 1542446154 + 437*h - h**2.
-h**2 + 437*h
Collect the terms in 110*m**2 - 1801769 + 1801769.
110*m**2
Collect the terms in -2597 - 22234*c + 2597 + 22031*c.
-203*c
Collect the terms in 3121 + 2*j - j - 3981 - 5271 - 3741 + 378.
j - 9494
Collect the terms in 9389499*k**2 + 9382545*k**2 - 18772047*k**2.
-3*k**2
Collect the terms in -248 - 226 + 14*m + 570*m**2 + 475 - 14*m.
570*m**2 + 1
Collect the terms in 3 - 1352*d**2 + 5655*d**2 + 2*d - 5.
4303*d**2 + 2*d - 2
Collect the terms in 49839*z**2 - 112063*z**2 + 131287*z**2 + 143569*z**2.
212632*z**2
Collect the terms in -1812 - 449*m**3 + 450*m**3 + 75.
m**3 - 1737
Collect the terms in 518230 + 3*m + 518245 - 1036472.
3*m + 3
Collect the terms in -21611125575*v**3 + 1 - 1 + 21611125578*v**3.
3*v**3
Collect the terms in 296*y - 1575*y**2 - 46*y + 1571*y**2 - 54*y - 126*y.
-4*y**2 + 70*y
Collect the terms in 10*d + 1895 + 2210 - 4112.
10*d - 7
Collect the terms in -1703*q - 2452*q - 1708*q - 1704*q + 7572*q.
5*q
Collect the terms in -351*o + 23 + 186*o + 50*o - 23 + 52*o + 58*o.
-5*o
Collect the terms in 3869*k + 3775*k - 15153*k + 3770*k + 3764*k.
25*k
Collect the terms in -743 + 12*k + 2194 + 4*k - 697 - 751.
16*k + 3
Collect the terms in 859 + 758*u - 703 - 156.
758*u
Collect the terms in -2512*o - 1121*o - 766*o - 3617*o.
-8016*o
Collect the terms in -4*q**3 + 415994*q + 415897*q + 415897*q - 1247788*q.
-4*q**3
Collect the terms in -105*f - 4*f**3 + 28233 + 105*f - 14117 - 14122.
-4*f**3 - 6
Collect the terms in 7*k + 593699504 - 593699504 + 34*k.
41*k
Collect the terms in -797*m + 257*m + 242*m + 227*m.
-71*m
Collect the terms in 4429817 + 110*n - 4429817 - 693*n.
-583*n
Collect the terms in -11*o + 13 - 21*o**2 - 8 + 0 + 24*o**2.
3*o**2 - 11*o + 5
Collect the terms in -1391*n - 3765430 - 1285*n + 3765430.
-2676*n
Collect the terms in -1055*y - 93 - 42*y - 23*y + 93.
-1120*y
Collect the terms in -1715601412 - 345*p + 1715601412.
-345*p
Collect the terms in 11434*b**3 - 1208777164 + 1208777164.
11434*b**3
Collect the terms in 35 - 257*w - 25 - 60*w + 19.
-317*w + 29
Collect the terms in 19156*l**3 - 2*l - 9615*l**3 + 2*l - 9554*l**3.
-13*l**3
Collect the terms in 16950247*o - 4765003*o + 42763744*o.
54948988*o
Collect the terms in 36*h + 37*h + 24*h + 39*h - 603 - 125*h.
11*h - 603
Collect the terms in 1 + 1 - 932*i + 300*i - 1401*i - 4.
-2033*i - 2
Collect the terms in -2*v + 29370*v**2 - 57549*v**2 + 2*v + 28884*v**2.
705*v**2
Collect the terms in 1407569721 - 1407569721 + 2*o**3.
2*o**3
Collect the terms in -l + 19*l + 8*l - 7*l + 5*l - 27*l.
-3*l
Collect the terms in 0*i + 30 + 3*i - 3*i + 860*i**2 - 3*i + 114*i**2.
974*i**2 - 3*i + 30
Collect the terms in -1612026*z**3 - 82711*z**3 - 2119447*z**3.
-3814184*z**3
Collect the terms in 9*y**2 + 19*y**2 - 19*y**2 - 9*y**2 - 8164*y**3.
-8164*y**3
Collect the terms in 7941*u**3 - 6187*u + 6187*u.
7941*u**3
Collect the terms in -1057*c**2 - 2*c**3 + 9388*c**2 + 8*c**3 + 6*c**3.
12*c**3 + 8331*c**2
Collect the terms in 81*l**2 - 840*l**2 - 212*l**2 - 201*l**2.
-1172*l**2
Collect the terms in u**3 + 2*u**3 - 9*u**3 - 224 + 914*u + 5*u**3.
-u**3 + 914*u - 224
Collect the terms in 890*z**3 - 1438*z**3 - 1185*z**3 + 874*z**3 + 885*z**3.
26*z**3
Collect the terms in -1726*b + 613*b + 562*b + 545*b.
-6*b
Collect the terms in 17 + 1269*l - 427*l - 419*l - 426*l + 7.
-3*l + 24
Collect the terms in 25 - 2106*p**2 - 25 - 2090*p**2 + 6279*p**2 - 2072*p**2.
11*p**2
Collect the terms in -59 + 90 + 123621*u - 31.
123621*u
Collect the terms in 17237*x**2 - 40676*x**2 - 2*x**3 + 15617*x**2.
-2*x**3 - 7822*x**2
Collect the terms in -48 + 17*c**2 - 9*c**2 + 1 + 1 - 7*c**2 + 39 - 2.
c**2 - 9
Collect the terms in -479131*p - 479122*p + 958258*p.
5*p
Collect the terms in 4*l + 68 - 13*l - 172 + 31 + 37.
-9*l - 36
Collect the terms in -901*v + 573 - 144 + 901*v + 50 - 4*v**3.
-4*v**3 + 479
Collect the terms in -1380*n**2 + 10825*n**2 + 1881*n**2.
11326*n**2
Collect the terms in -76702*p**3 + 408117*p**3 - 956202*p**3 - 1042023*p**3.
-1666810*p**3
Collect the terms in 952 + 28*u**2 - 362 - 295 - 295 - 27*u**2.
u**2
Collect the terms in -45 + 213 - 501*w - 87 - 81.
-501*w
Collect the terms in -10 + w + 8 + 10 + 3*w**2 - 9 + 9.
3*w**2 + w + 8
Collect the terms in 497*t**2 - 1511*t**2 + 506*t**2 - 20*t**3 + 7*t**3 + 16*t**3 + 508*t**2.
3*t**3
Collect the terms in 2*p + 9*p + 8277 - 7*p - 8308.
4*p - 31
Collect the terms in -72439243434 + 72439243434 + 15*q**2.
15*q**2
Collect the terms in -7006114 + 7006114 + 182*h - 181*h.
h
Collect the terms in -13445 + 24*w**2 - 2*w + 13445.
24*w**2 - 2*w
Collect the terms in 6*a + 1765 - 449 - 556.
6*a + 760
Collect the terms in -13284*s**2 - 41296*s**2 - 39418*s**2 + 19809*s**2.
-74189*s**2
Collect the terms in -421719*t - 421738*t + 843451*t.
-6*t
Collect the terms in -9271*c + 177*c + 9091*c.
-3*c
Collect the terms in 142 + 182 + 78*f**2 - 60*f**2 - 6 + 54.
18*f**2 + 372
Collect the terms in 3*r - 12*r + 10*r + 1662 - 1672.
r - 10
Collect the terms in 8 - 2*v**3 - 4 - 3*v - v - 6 + 1.
-2*v**3 - 4*v - 1
Collect the terms in 5613*m - 2 + 2 - 11348*m + 5745*m.
10*m
Collect the terms in 12177808137858 - 2*q**3 - 12177808137858.
-2*q**3
Collect the terms in 37797146*q + 1 + 1801*q**2 - 37797146*q - 1.
1801*q**2
Collect the terms in 24301977*v**3 - 24301975*v**3 + 52*v - 52*v.
2*v**3
Collect the terms in -66*f**3 - 3 + 61 + 57 + 15*f - 115.
-66*f**3 + 15*f
Collect the terms in 476*d**2 + 120 - 160*d**2 - d - 163*d**2 - 160*d**2 - 16*d**3.
-16*d**3 - 7*d**2 - d + 120
Collect the terms in 57*q**2 + q + 23*q**2 + 57*q**2 + 58*q**2 - 199*q**2 - q.
-4*q**2
Collect the terms in -2 + 30 - 10 - 19661*n + 25.
-19661*n + 43
Collect the terms in 14238*b**3 - 14239*b**3 + 1286 - 1286.
-b**3
Collect the terms in 2579333197 - 2*z - 2579333197 - z**2 - 3*z**2.
-4*z**2 - 2*z
Collect the terms in -1583*o + 30 + 803*o - 174 + 810*o.
30*o - 144
Collect the terms in 724*f**2 - 21*f**3 - 7*f**3 - 369*f**2 - 355*f**2.
-28*f**3
Collect the terms in -927*u + 201*u + 178*u + 175*u + 176*u + 177*u.
-20*u
Collect the terms in -1765*g + 12592 + 1765*g + 6*g**2 - 12617 - 3*g**3.
-3*g**3 + 6*g**2 - 25
Collect the terms in -30*l**2 - 58*l**2 - 48*l**2 - 72*l**2 + 256*l**2.
48*l**2
Collect the terms in -31 + 30810543234*z**2 - 30810543234*z**2 + z**3.
z**3 - 31
Collect the terms in 14862*z**2 + 2*z**3 - 7432*z**2 - 7430*z**2.
2*z**3
Collect the terms in -269685319211 + i + 269685319211.
i
Collect the terms in 1826 - 3649 + 9006*i**2 + 1823.
9006*i**2
Collect the terms in -10*x - 29*x - 17385 + 19*x + 21*x.
x - 17
|
{
"pile_set_name": "DM Mathematics"
}
|
ch is the second smallest value? (a) 1 (b) u (c) j
c
Let k = 1178.235 + -1175. Let v = -0.235 + k. Which is the biggest value? (a) v (b) 0.8 (c) -0.06
a
Let w be (2 + 0)/(1 - (-1 - 0)). Let l(s) = -3*s**2 - s - 4. Let k be l(0). Which is the second biggest value? (a) k (b) w (c) 2 (d) -35
b
Let v = -852.007 + 852. Which is the second biggest value? (a) v (b) -2/7 (c) 2/9
a
Let z = -91 + 91.108. Let t = -0.508 + z. Which is the third biggest value? (a) 0.8 (b) t (c) 1 (d) 3
a
Let q = -137 - -233. Let g = q + -95.892. Let j = g + -0.008. What is the biggest value in -0.4, 4, j?
4
Let l be 2 + 10/(-2) + 6. Suppose -14 - 4 = -l*y. Let i = -2062 + 2066. Which is the second smallest value? (a) 2 (b) y (c) i
c
Let b = -1 + 62. Let j = 6449.02 + -6388. Let k = b - j. What is the second smallest value in k, -1/6, 3, 0.4?
k
Let u be (-3)/(-5)*(17 + (-689)/39). What is the second smallest value in 1, u, -749?
u
Let h = -76.2865 + 76.77. Which is the biggest value? (a) -2/15 (b) 5 (c) -2 (d) h
b
Let z = -7548 + 7543. Which is the second smallest value? (a) 1/7 (b) z (c) -8 (d) -2
b
Let v be (-85)/120 - (-4)/(-96). Which is the smallest value? (a) 219 (b) 0.3 (c) 1 (d) v
d
Let m = -2.25077 - -0.25077. Let p = -101/5 - -1081/55. What is the third smallest value in m, p, 2/19?
2/19
Let p = 4.4 + -23.8. Let x = 15.4 + p. What is the fourth biggest value in 0.2, 3, x, -0.5?
x
Let p be ((-6)/4 + -1)/((-4)/(-16)) - -7. Which is the biggest value? (a) p (b) -4 (c) 0.1 (d) 122
d
Let b be (2 - (-1 + 16))*(-2 - (-4)/4). What is the third smallest value in -1, b, -0.02?
b
Let g = -375 + 383. Let v be 1 - ((-56)/(-21))/g. What is the second smallest value in v, -4, -2/5?
-2/5
Let u = -384.31 - -382. Let z = -1.69 + u. What is the third smallest value in 13, z, 0.2?
13
Let k = 0.12 + -0.62. Let i = 2535 - 2535.3. What is the fourth smallest value in i, 0.2, k, -4?
0.2
Let c = -179/99 + 15/11. Suppose 6*r - n + 43 = 7, -13 = 5*r + 2*n. What is the third smallest value in 2/5, r, c, 3?
2/5
Let m be ((-10)/6 + (1 - 0))*(-96 - -102). Which is the smallest value? (a) 2/17 (b) m (c) 15/2 (d) 10
b
Let z = -0.0757 + -0.9243. Let i = -2.94 + 3.04. Which is the third smallest value? (a) -9 (b) 1 (c) i (d) z
c
Let u = -28/5 - -278/55. Suppose -2*i = -0*i + 3*v - 4, 3*v = -i + 5. Let x be i*(-2*1)/((-2)/(-4)). Which is the biggest value? (a) u (b) -0.3 (c) x
c
Let q = 0.0166 + 332.9834. Let x = -332 + q. Let d = 1 - 3. What is the biggest value in d, 5, -4/7, x?
5
Let n = 208 + -208.047. Let s = n + 0.747. Let b be (-1 - 0)/(6*1). What is the second smallest value in s, b, -2?
b
Let n = 10217.5 + -10217. Let d = -4.135 + 0.035. What is the second smallest value in -0.2, n, d?
-0.2
Let r(b) = b**3 - 6*b**2 + 5*b + 14. Let a be r(4). Let p be -11*(a/(-10))/(15/(-25)). What is the third biggest value in -0.4, 0.5, p?
p
Let x = -1162 - -1161.9. What is the third smallest value in 0.6, 0.2, x, -274?
0.2
Let h = -7 + 27/4. Let r = 373.819 - 374. Let x = r - -0.281. What is the smallest value in h, -2, x?
-2
Let f = 2554 - 2555. What is the biggest value in 3, f, 4, -0.2, 0.4?
4
Suppose 0 = 8*u - 10*u. Suppose -2*k = -0*k - 8. Suppose 0*g + 4*g - 3*y + 3 = u, -5 = -k*g - 5*y. What is the second smallest value in 5, -6, g?
g
Let f = -2/411 - -2063/1644. Let i = -1348 + 1285. Which is the biggest value? (a) f (b) 0.3 (c) i
a
Let m be 6/(-4)*(-40)/(-870). Let u = 146 - 309. Let t = u - -162. What is the third smallest value in 0, m, t?
0
Let z be -8*(2/20 + 0). Suppose 182*w - 40 - 72 = 252. What is the fourth smallest value in -2/5, w, -4, z?
w
Suppose -3 = -3*o + 3*d, 0 = 25*o - 23*o + 3*d - 12. Let j be 9/42*(-11 + 9). What is the third smallest value in o, 1/2, j, -53?
1/2
Suppose -14*l - r = -16*l - 2549, 3*r - 1262 = l. Let h = l + 7625/6. What is the smallest value in -2/11, -2/13, h?
h
Let i = -210.77 + 212. Let a = i + -0.83. What is the second biggest value in 0.5, 12, a, -0.3?
0.5
Let a = 0.2387 - -4.7613. What is the smallest value in 37/4, a, -4?
-4
Suppose -4*p = -3*j - 26, -3*p - 6*j = -2*j - 7. Suppose 0 = -5*h + 3*f - 16, p*h - f = 7*h + 13. Which is the smallest value? (a) -1 (b) 0.3 (c) h (d) -1/3
c
Suppose -5*h = -9*p - 136, p - 15*h = -10*h + 16. Which is the smallest value? (a) -0.02 (b) p (c) 2
b
Let b = -438.1 - -442. What is the second smallest value in 0.4, -2, b?
0.4
Let o = 571 - 1272. Let d = -710.9 - o. What is the third smallest value in 0, 1, d?
1
Let n = 2.62 - 1.43. Let v = n - 0.79. Let w = 797/26 + -61/2. Which is the biggest value? (a) -5 (b) -1 (c) w (d) v
d
Let h = -5.875 + 7.875. Which is the biggest value? (a) 1/7 (b) -87/73 (c) h
c
Let a = -34011 + 34015. What is the third biggest value in 6, -0.05, a, -7?
-0.05
Let w = -379 - -378. Let x(v) = 2*v**2 + v - 34. Let m be x(0). What is the third smallest value in m, -0.2, w?
-0.2
Let l = -5654/63 - -622/7. What is the third biggest value in l, 40, -1/2?
l
Let f = -1 - -4/5. Let o be (-4)/12 - (-88)/396. What is the second biggest value in o, f, 4?
o
Let j = 173 + -228. Let h be -1*(5 + 265/j). What is the third smallest value in h, 5, 2.8?
5
Let y = -7072/10599 + 2/3533. Which is the smallest value? (a) -1/2 (b) -23 (c) y
b
Let v = 8466/11 - 270945/352. Which is the biggest value? (a) v (b) 0.3 (c) -12
b
Suppose -5*m + 0*m + 5*q + 95 = 0, 0 = 5*m + 4*q - 50. Which is the biggest value? (a) m (b) -45 (c) -0.5
a
Let o = 0.973 + 0.027. Let g = 108 - 103. What is the third smallest value in o, -1.1, 4, g?
4
Let v = -5.825 + 6.025. Which is the second biggest value? (a) 2 (b) -12 (c) 0.3 (d) -3/4 (e) v
c
Let l = -369 - -125. Let j = 243.9 + l. Let d = 1 + -2. Which is the third smallest value? (a) j (b) d (c) 11
c
Let a = 0.8 - -2.8. Let s = 24.4 + a. Let p = s + -28. What is the biggest value in -2/17, p, -0.3?
p
Let u be ((-9)/24*(5 - 7))/((-30)/(-24)). What is the second biggest value in -2/359, -4, u, -0.5?
-2/359
Let m be -1 + (-1 - -2) + 2. Let t = -85 - -92.9. Let o = -8 + t. Which is the second smallest value? (a) o (b) 2/13 (c) m (d) -2/5
a
Let o = 15 - 9. Let l = 122141/60 - 30524/15. Which is the smallest value? (a) 1/4 (b) l (c) o (d) -1/2
d
Let n = 0.0514 + -41.0514. Let w = -46 - n. Which is the third biggest value? (a) w (b) -0.382 (c) 0.3
a
Let t = -0.6 - -0.95. Let i = 0.05 - t. Suppose 7953*p = 7949*p + 20. Which is the third smallest value? (a) i (b) p (c) 2/9 (d) -14/3
c
Let w(g) = -g**2 - 6*g + 3. Let z be w(-6). Suppose -1120 - 332 = -11*k. Let o = -529/4 + k. What is the third biggest value in -1, o, z, -1/3?
-1/3
Suppose 8 = l - 3*f - 14, 5*f + 32 = -3*l. Let n = -8 + 8.06. What is the second biggest value in l, 4, n?
l
Let l = 3845 + -3847. Which is the second smallest value? (a) l (b) 0.06 (c) 9 (d) -5
a
Let v be (-5)/(-20)*8/10. Let s = -6 - -3. Let t be 2/3*(-1 - -2). Which is the third biggest value? (a) v (b) s (c) t
b
Let f = 4404 + -4405. Which is the second smallest value? (a) f (b) 1/9 (c) -3/5 (d) 3
c
Suppose -k - 42 = 2*n - 3*k, -3*k = 3*n + 87. Let f be (6/9 - 1)*10/n. Let p = -0.11 - 4.89. Which is the fourth biggest value? (a) 3 (b) -2 (c) f (d) p
d
Let u = -19 + 20. Suppose 6*x + 2*x = -352. Let l be 16/(-24) - (-2 - x/6). Which is the third biggest value? (a) u (b) l (c) -4/5
b
Let d = 162791 + -162793. Let i = 1 - 1. What is the biggest value in d, 0.5, 2, i?
2
Suppose 681 = 3*j + 3*x, -8*x + 3*x + 909 = 4*j. Let t be (-19)/(-133) + j/182. Which is the smallest value? (a) -6/7 (b) t (c) 2
a
Let x = 1809 - 5425/3. Let t = 0.7 + -2.3. Let n = -6.6 - t. What is the second smallest value in n, -1/18, x?
-1/18
Let t = 100.4 + -13.4. Let s = t - 87.2. What is the smallest value in 0, s, -0.03?
s
Let g = 28235 + -28408. Let y = 1.6 + -1.2. Which is the second smallest value? (a) g (b) 4 (c) -0.3 (d) y
c
Let t be 2/10 - 42/10. Let g = -46433 + 46433.6. What is the biggest value in t, g, -0.2?
g
Let x = 255 + -176. Suppose -x*r - 5 = -78*r, 0 = -4*i + 3*r + 31. Let k be 24/182 - (-2)/(-7). Which is the third smallest value? (a) 3/4 (b) k (c) i (d) 2
d
Let p be (-11)/(-3) + (-4)/6. Let y = 1137969/4 - 284493. Which is the biggest value? (a) p (b)
|
{
"pile_set_name": "DM Mathematics"
}
|
, 113
List the prime factors of 5814.
2, 3, 17, 19
List the prime factors of 423.
3, 47
List the prime factors of 163.
163
List the prime factors of 201.
3, 67
What are the prime factors of 65589?
3, 21863
List the prime factors of 190.
2, 5, 19
List the prime factors of 2930.
2, 5, 293
What are the prime factors of 11324?
2, 19, 149
What are the prime factors of 10220?
2, 5, 7, 73
List the prime factors of 5730.
2, 3, 5, 191
List the prime factors of 513.
3, 19
List the prime factors of 1753.
1753
List the prime factors of 8545.
5, 1709
List the prime factors of 1337.
7, 191
List the prime factors of 2511.
3, 31
What are the prime factors of 1674?
2, 3, 31
What are the prime factors of 1016?
2, 127
List the prime factors of 159.
3, 53
List the prime factors of 2587.
13, 199
What are the prime factors of 164787?
3, 7, 19, 59
List the prime factors of 846.
2, 3, 47
List the prime factors of 2410.
2, 5, 241
What are the prime factors of 2780?
2, 5, 139
What are the prime factors of 260?
2, 5, 13
List the prime factors of 595.
5, 7, 17
What are the prime factors of 50000?
2, 5
What are the prime factors of 2764?
2, 691
List the prime factors of 73407.
3, 24469
What are the prime factors of 742?
2, 7, 53
What are the prime factors of 4907?
7, 701
List the prime factors of 440.
2, 5, 11
What are the prime factors of 3628?
2, 907
List the prime factors of 89987.
29, 107
List the prime factors of 4460.
2, 5, 223
List the prime factors of 88.
2, 11
What are the prime factors of 967?
967
What are the prime factors of 1262?
2, 631
What are the prime factors of 1262?
2, 631
List the prime factors of 4196.
2, 1049
What are the prime factors of 7318?
2, 3659
What are the prime factors of 4257?
3, 11, 43
What are the prime factors of 10915?
5, 37, 59
List the prime factors of 14177.
14177
List the prime factors of 6635.
5, 1327
List the prime factors of 7938.
2, 3, 7
List the prime factors of 27543.
3, 9181
List the prime factors of 119818.
2, 139, 431
What are the prime factors of 304?
2, 19
What are the prime factors of 53267?
53267
What are the prime factors of 2941?
17, 173
What are the prime factors of 5239?
13, 31
List the prime factors of 1357.
23, 59
What are the prime factors of 3294?
2, 3, 61
What are the prime factors of 3517?
3517
List the prime factors of 46001.
157, 293
List the prime factors of 12179.
19, 641
What are the prime factors of 104484?
2, 3, 8707
List the prime factors of 184.
2, 23
What are the prime factors of 36259?
101, 359
List the prime factors of 885.
3, 5, 59
List the prime factors of 4134.
2, 3, 13, 53
What are the prime factors of 1187?
1187
What are the prime factors of 1803?
3, 601
List the prime factors of 39666.
2, 3, 11, 601
What are the prime factors of 1004?
2, 251
List the prime factors of 3319.
3319
List the prime factors of 502.
2, 251
List the prime factors of 19692.
2, 3, 547
List the prime factors of 15219.
3, 19, 89
List the prime factors of 1540.
2, 5, 7, 11
List the prime factors of 1523.
1523
What are the prime factors of 997?
997
What are the prime factors of 5875?
5, 47
What are the prime factors of 12327?
3, 7, 587
What are the prime factors of 9199?
9199
What are the prime factors of 1053?
3, 13
What are the prime factors of 1186?
2, 593
List the prime factors of 627.
3, 11, 19
List the prime factors of 3076.
2, 769
What are the prime factors of 141545?
5, 28309
What are the prime factors of 28545?
3, 5, 11, 173
List the prime factors of 25324.
2, 13, 487
List the prime factors of 8376.
2, 3, 349
List the prime factors of 17547.
3, 5849
List the prime factors of 2593.
2593
What are the prime factors of 19451?
53, 367
List the prime factors of 797.
797
What are the prime factors of 1345?
5, 269
What are the prime factors of 52217?
11, 47, 101
What are the prime factors of 16254?
2, 3, 7, 43
List the prime factors of 3600.
2, 3, 5
What are the prime factors of 5944?
2, 743
List the prime factors of 1101.
3, 367
What are the prime factors of 32284?
2, 7, 1153
List the prime factors of 8431.
8431
List the prime factors of 27809.
27809
What are the prime factors of 16897?
61, 277
What are the prime factors of 7718?
2, 17, 227
What are the prime factors of 1351?
7, 193
List the prime factors of 2530.
2, 5, 11, 23
What are the prime factors of 8181?
3, 101
List the prime factors of 146.
2, 73
List the prime factors of 41.
41
What are the prime factors of 18841?
83, 227
What are the prime factors of 41?
41
List the prime factors of 31830.
2, 3, 5, 1061
What are the prime factors of 5451?
3, 23, 79
List the prime factors of 3460.
2, 5, 173
List the prime factors of 565.
5, 113
What are the prime factors of 59092?
2, 11, 17, 79
What are the prime factors of 328?
2, 41
What are the prime factors of 129071?
337, 383
List the prime factors of 1632.
2, 3, 17
List the prime factors of 1235.
5, 13, 19
List the prime factors of 15353.
13, 1181
What are the prime factors of 65403?
3, 13, 43
List the prime factors of 1259.
1259
What are the prime factors of 86496?
2, 3, 17, 53
What are the prime factors of 588?
2, 3, 7
What are the prime factors of 4213?
11, 383
List the prime factors of 52932.
2, 3, 11, 401
What are the prime factors of 5598?
2, 3, 311
List the prime factors of 1912.
2, 239
List the prime factors of 3761.
3761
List the prime factors of 5039.
5039
What are the prime factors of 110919?
3, 36973
What are the prime factors of 31399?
17, 1847
What are the prime factors of 96538?
2, 13, 47, 79
What are the prime factors of 7382?
2, 3691
What are the prime factors of 22370?
2, 5, 2237
List the prime factors of 19085.
5, 11, 347
List the prime factors of 768.
2, 3
List the prime factors of 6596.
2, 17, 97
What are the prime factors of 20042?
2, 11, 911
List the prime factors of 791.
7, 113
List the prime factors of 792.
2, 3, 11
What are the prime factors of 13374?
2, 3, 743
What are the prime factors of 355?
5, 71
List the prime factors of 41429.
17, 2437
List the prime factors of 46685.
5, 9337
List the prime factors of 1256.
2, 157
What are the prime factors of 1075?
5, 43
List the prime factors of 1049.
1049
List the prime factors of 1599.
3, 13, 41
List the prime factors of 14819.
7, 29, 73
What are the prime factors of 592?
2, 37
What are the prime factors of 65545?
5, 13109
What are the prime factors of 698?
2, 349
List the prime factors of 3407.
3407
What are the prime factors of 5135?
5, 13, 79
List the prime factors of 1285.
5, 257
What are the prime factors of 1645?
5, 7, 47
What are the prime factors of 11682?
2, 3, 11, 59
List the prime factors of 1172.
2, 293
List the prime factors of 76252.
2, 11, 1733
List the prime factors of 60386.
2, 109, 277
List the prime factors of 36978.
2, 3, 6163
List the prime factors of 75686.
2, 13, 41, 71
What are the prime factors of 4051?
4051
List the prime factors of 1665.
3, 5, 37
List the prime factors of 19736.
2, 2467
What are the prime factors of 6160?
2, 5, 7, 11
What are the prime factors of 122282?
2, 61141
What are the prime factors of 10399?
10399
List the prime factors of 992.
2, 31
List the prime factors of 115580.
2, 5, 5779
List the prime factors of 35345.
5, 7069
What are the prime factors of 5677?
7, 811
What are the prime factors of 3354?
2, 3, 13, 43
List the prime factors of 660.
2, 3, 5, 11
List the prime factors of 3429.
3, 127
List the prime factors of 10160.
2, 5, 127
List the prime factors of 27446.
2, 13723
List the prime factors of 1954.
2, 977
What are the prime factors of 364?
2, 7, 13
What are the prime factors of 37064?
2, 41, 113
What are the prime factors of 30632?
2, 7, 547
List the prime factors of 807.
3, 269
List the prime factors of 1242.
2, 3, 23
What are the prime factors of 6872?
2, 859
List the prime factors of 1742.
2, 13, 67
List the prime factors of 2067.
3, 13, 53
What are the prime factors of 999?
3, 37
What are the prime factors of 12796?
2, 7, 457
What are the prime factors of 3310?
2, 5, 331
What are the prime factors of 8306?
2, 4153
What are the prime factors of 1768?
2, 13, 17
List the prime factors of 24296.
2, 3037
List the prime factors of 5991.
3, 1997
What are the prime factors of 1471?
1471
List the prime factors of 2297.
2297
What are the prime factors of 820?
2, 5, 41
What are the prime factors of
|
{
"pile_set_name": "DM Mathematics"
}
|
4, i: 3}.
6/91
Three letters picked without replacement from {a: 2, p: 3, h: 1, m: 6}. Give prob of sequence mhm.
1/44
Four letters picked without replacement from {t: 2, z: 3, e: 2, l: 9, g: 3, y: 1}. Give prob of sequence zegg.
1/3230
What is prob of sequence oa when two letters picked without replacement from oooaooaoo?
7/36
Four letters picked without replacement from {c: 1, l: 7, k: 1, d: 5}. Give prob of sequence lckd.
5/3432
Two letters picked without replacement from {t: 1, z: 5, b: 2, g: 1, n: 3, w: 8}. What is prob of sequence nw?
6/95
Four letters picked without replacement from mmymmmmymmmmymmmmmy. What is prob of sequence mmmm?
455/1292
What is prob of sequence bpxh when four letters picked without replacement from {h: 1, b: 1, x: 2, c: 1, p: 2}?
1/210
Three letters picked without replacement from {t: 1, h: 1, c: 1, d: 3, v: 1}. Give prob of sequence ddt.
1/35
What is prob of sequence mh when two letters picked without replacement from mmmmmmmmmmmmmmhhmhhh?
15/76
What is prob of sequence qs when two letters picked without replacement from {m: 2, t: 1, s: 5, i: 5, q: 1, g: 2}?
1/48
Three letters picked without replacement from {z: 7, j: 6, r: 1}. What is prob of sequence jzr?
1/52
Three letters picked without replacement from {k: 4, d: 2, h: 1, u: 1}. What is prob of sequence dku?
1/42
Calculate prob of sequence hccl when four letters picked without replacement from qquchhhclcccuccqcm.
7/3060
Two letters picked without replacement from {w: 8, u: 4, d: 2}. What is prob of sequence dw?
8/91
Three letters picked without replacement from {i: 4, s: 10}. What is prob of sequence iii?
1/91
Four letters picked without replacement from {q: 2, c: 1, v: 1, w: 1}. Give prob of sequence qvcw.
1/60
Three letters picked without replacement from bhbbhhnrhhsshrn. Give prob of sequence hbh.
3/91
Calculate prob of sequence vv when two letters picked without replacement from {l: 3, a: 2, h: 2, j: 3, t: 3, v: 1}.
0
What is prob of sequence oooo when four letters picked without replacement from {o: 6}?
1
Two letters picked without replacement from jhyyjhhzhjjzyjyjhj. What is prob of sequence yh?
10/153
Calculate prob of sequence xx when two letters picked without replacement from {c: 2, x: 3}.
3/10
What is prob of sequence yy when two letters picked without replacement from {y: 2, j: 4, e: 2}?
1/28
Four letters picked without replacement from {i: 2, w: 1, m: 2, p: 1, b: 2}. Give prob of sequence ibpb.
1/420
Calculate prob of sequence mrr when three letters picked without replacement from {f: 12, r: 6, m: 1}.
5/969
Calculate prob of sequence gg when two letters picked without replacement from uguuuuuugugu.
1/22
Calculate prob of sequence tr when two letters picked without replacement from rnntntnnrtr.
9/110
What is prob of sequence pmqq when four letters picked without replacement from {p: 6, q: 4, m: 1}?
1/110
Calculate prob of sequence dffd when four letters picked without replacement from ffffdffffffffdffff.
1/153
What is prob of sequence bgf when three letters picked without replacement from cgihgiccbbcbccfbc?
1/510
What is prob of sequence ayam when four letters picked without replacement from {y: 4, a: 8, m: 2}?
8/429
What is prob of sequence ze when two letters picked without replacement from {e: 2, o: 4, z: 4}?
4/45
What is prob of sequence sskk when four letters picked without replacement from {s: 2, k: 2}?
1/6
Three letters picked without replacement from {l: 1, u: 2}. What is prob of sequence uul?
1/3
Three letters picked without replacement from ddfpnfpnddff. What is prob of sequence pdd?
1/55
Two letters picked without replacement from qbqqbqqqbqqqqqqq. What is prob of sequence bq?
13/80
Three letters picked without replacement from {t: 3}. What is prob of sequence ttt?
1
Two letters picked without replacement from {w: 1, g: 2}. Give prob of sequence wg.
1/3
What is prob of sequence nm when two letters picked without replacement from mxnnnxnxnmnnx?
7/78
Calculate prob of sequence gp when two letters picked without replacement from {p: 4, g: 16}.
16/95
Three letters picked without replacement from kkmmmkmckmmcc. Give prob of sequence cck.
2/143
What is prob of sequence eed when three letters picked without replacement from ddxxxxddxxxdxdxxxeed?
7/3420
Calculate prob of sequence acrt when four letters picked without replacement from ttrazazzztrctt.
5/6006
Two letters picked without replacement from paaayozeapapeazaa. Give prob of sequence py.
3/272
Four letters picked without replacement from qeqyq. Give prob of sequence yeqq.
1/20
Calculate prob of sequence lx when two letters picked without replacement from eppexxelxxnpeexlxe.
2/51
Three letters picked without replacement from rceqrvz. What is prob of sequence rzc?
1/105
Four letters picked without replacement from {j: 2, f: 5, w: 2}. Give prob of sequence wjjf.
5/756
Two letters picked without replacement from whmmpwflfhmf. Give prob of sequence wl.
1/66
What is prob of sequence vzzz when four letters picked without replacement from vzzzzv?
2/15
What is prob of sequence pjpp when four letters picked without replacement from {j: 3, p: 13}?
33/280
Two letters picked without replacement from dfddgfdgggffgg. Give prob of sequence ff.
6/91
Calculate prob of sequence lqvr when four letters picked without replacement from qlqrvr.
1/90
Two letters picked without replacement from ababqblxxaqa. Give prob of sequence al.
1/33
Three letters picked without replacement from dndalxnnaad. Give prob of sequence ndx.
1/110
Calculate prob of sequence ei when two letters picked without replacement from hnininiehhnhinghhngh.
1/95
Four letters picked without replacement from {h: 1, v: 1, f: 2}. What is prob of sequence ffvv?
0
Three letters picked without replacement from rxxjjaxjrj. What is prob of sequence rrr?
0
Three letters picked without replacement from {a: 3, h: 3, m: 2}. What is prob of sequence mhm?
1/56
Calculate prob of sequence dpd when three letters picked without replacement from pppdpdpppppp.
1/66
Four letters picked without replacement from qqcqqcqqqiqiqq. What is prob of sequence iiqc?
5/3003
Three letters picked without replacement from {i: 2, z: 10, o: 6}. Give prob of sequence zoo.
25/408
Calculate prob of sequence fz when two letters picked without replacement from vqvqxvufzxvvx.
1/156
What is prob of sequence qssq when four letters picked without replacement from {s: 3, q: 13}?
3/140
Calculate prob of sequence zz when two letters picked without replacement from {z: 2, m: 2, q: 1}.
1/10
Three letters picked without replacement from {q: 1, t: 1, v: 1, a: 2, g: 1, j: 1}. Give prob of sequence gta.
1/105
What is prob of sequence ff when two letters picked without replacement from {f: 2, g: 2, m: 9}?
1/78
Two letters picked without replacement from {g: 3, w: 3, k: 1, n: 2, a: 1}. Give prob of sequence nw.
1/15
Three letters picked without replacement from xswxaxxzwxxexsesxxx. What is prob of sequence zxs?
5/969
Calculate prob of sequence sgt when three letters picked without replacement from {g: 6, n: 2, s: 1, e: 3, t: 3}.
3/455
What is prob of sequence cc when two letters picked without replacement from {c: 7}?
1
Two letters picked without replacement from {o: 4, x: 5, r: 10}. Give prob of sequence ox.
10/171
Two letters picked without replacement from vssssyhsv. Give prob of sequence hy.
1/72
Calculate prob of sequence pq when two letters picked without replacement from {p: 1, s: 4, f: 3, q: 2, t: 7, u: 1}.
1/153
Four letters picked without replacement from {r: 2, t: 1, q: 8, h: 7, n: 2}. Give prob of sequence nhqh.
28/4845
What is prob of sequence dr when two letters picked without replacement from {s: 12, r: 1, d: 3}?
1/80
What is prob of sequence fyf when three letters picked without replacement from {s: 2, y: 1, u: 1, l: 1, f: 4}?
1/42
Calculate prob of sequence ocoo when four letters picked without replacement from {o: 6, c: 12}.
1/51
Calculate prob of sequence kkw when three letters picked without replacement from whhkwkrhhhrhhkwkhhhw.
2/285
Two letters picked without replacement from {o: 14, y: 1, e: 2}. Give prob of sequence ey.
1/136
Two letters picked without replacement from llllkvlvlkvlmlvav. What is prob of sequence av?
5/272
Calculate prob of sequence pcp when three letters
|
{
"pile_set_name": "DM Mathematics"
}
|
0.32. Let k be -2*(1 + -2 + 2). Which is the nearest to k? (a) j (b) l (c) 1
b
Let p(b) = -b + 7. Let v be p(6). Let o = 3.761 + -0.261. Let q = o + -3. What is the closest to 0.04 in v, q, -4?
q
Let h = 0.1532 + 0.0468. What is the closest to h in 1/2, -0.4, -0.037?
-0.037
Let g be 0/(4 - 0)*273/(-546). Which is the closest to -0.1? (a) -4 (b) g (c) 6 (d) -30.7
b
Let r(t) = 2*t**2 - 100*t + 1108. Let w be r(46). Which is the closest to 0? (a) w (b) 2/7 (c) -0.2
c
Let i = 25 - 20. Let q = 11 - 11.283. Let y = q + -0.017. Which is the nearest to y? (a) 1/4 (b) i (c) -1/6
c
Let k(q) = -18*q - 94. Let p be k(-5). Let c be ((-3)/4)/((-1)/(-12)). Let o be c/(-6)*8/18. What is the closest to 2/11 in 0.2, o, p?
0.2
Let z = -634 + 619. Suppose 5*q - 3*c - 11 = 0, 8*c = -q + 3*c - 9. Let u be (-18)/(-27) - q/(-3). What is the nearest to u in -1/4, z, 2/11?
2/11
Let v be (-20)/70 + 360/35. Let k = -6 + 10. Which is the nearest to -0.4? (a) k (b) v (c) -1/7
c
Suppose -7*z = -4*h - 9*z + 210, -4*h - 3*z = -211. Let w be -6 - -1*h/9. Which is the nearest to 4? (a) w (b) -4 (c) -6
a
Let l = -0.2 + -244.8. Let o = l - -255. Which is the nearest to o? (a) 2 (b) 2/7 (c) 4
c
Let m = 7 + -6. Let u = -89.8 + -1.2. Let v = -91.3 - u. What is the closest to m in v, -5, 3?
v
Let n = -8941827/575 + 15551. Which is the nearest to -0.2? (a) 4 (b) n (c) -0.1
c
Let n = 84.95 + -82.95. What is the closest to 1 in -1, n, -0.035, -7?
n
Let h = 13864 - 13866. What is the closest to 3 in 1.2, -3/4, 3/2, h?
3/2
Let g = 2253 + -2252. Let q = 23/154 + 3/22. What is the nearest to g in -2/11, -11, q?
q
Let q = -64 - -76. Suppose q = 3*v + 2*c, -5*v - c + 26 = 6. What is the closest to 0.1 in -2/15, v, 10?
-2/15
Let o = -4829 + 4829. What is the nearest to 1/7 in -0.04, -0.5, -0.3, o?
o
Let j = 1.4 - 0.4. Let s = -49/264 + 2/33. Which is the nearest to 0.1? (a) -4 (b) j (c) s
c
Let v = 5062 - 5062. What is the nearest to -1/3 in v, -0.3, 0.3, 7?
-0.3
Suppose 7*h + 18 = -3. Let j be ((-20 + 21)/((-1)/2))/1. Which is the nearest to 2? (a) h (b) -1/8 (c) j (d) -0.4
b
Suppose 3*p + 2*p - 10 = 0. Let w = -187 + 192. Let n be (-6)/10 - 442/(-85) - w. Which is the nearest to 3? (a) 3 (b) n (c) p
a
Let l = 97 + -195/2. Which is the closest to l? (a) -1/2 (b) -1 (c) 10 (d) 0.2
a
Let t be (-2)/(-20)*(8/2 + -8 - 4). Which is the closest to t? (a) 3 (b) 0.6 (c) -2/63
c
Let n = 1264.64 - 1264.94. Let p = 4 + -6. Which is the closest to p? (a) n (b) 3/2 (c) 0.3
a
Let h = 0.9 + -0.8. Let v be (-11 - 0 - -1)*-3*10/(-20). Which is the nearest to 0.1? (a) v (b) -0.1 (c) h
c
Let s = 0.8353 + -0.6353. What is the nearest to 3.8 in -21, s, -4?
s
Suppose o - 770 = -4*x - 4*o, -2*o + 574 = 3*x. Suppose -x*g = -184*g. Which is the closest to -1/4? (a) -3/4 (b) g (c) -0.3
c
Let t = -2561061 - -1887502491/737. Let o = 12/67 - t. Let x = 559/1960 + 1/1960. Which is the nearest to x? (a) o (b) -2/3 (c) 4
a
Suppose -33*l - l - 10132 = 0. Let g = -298 - l. Suppose 0 = -m + 1, -4*o + 5*m - 2 = 3. Which is the closest to g? (a) 3/7 (b) o (c) -5
b
Let l = 266.74 - 270. Let m = l + -1.74. Let s(u) = u**2 + u - 1. Let h be s(3). Which is the nearest to 0? (a) h (b) -1/7 (c) m
b
Let k = -1004 - -865. Let v = -141.47 - -0.47. Let r = v - k. What is the nearest to -1/2 in 0.09, 5, r?
0.09
Let g = 28.7 - -8.3. Let a = -37 + g. Let l = 0.01 + -3.01. What is the nearest to 2/9 in a, -4, l?
a
Let g = -6.236 + 6.266. Which is the nearest to 1/2? (a) g (b) -0.4 (c) -37
a
Suppose -57*n = -390 + 162. Which is the nearest to 1/4? (a) 4/3 (b) n (c) -4 (d) 403
a
Let d = 17 - 16.6. Let j = -0.7856 - 0.2144. Which is the nearest to 2/3? (a) j (b) 4 (c) d
c
Let q be -5 + (0 - 0)/(-2). Let k(l) = l**2 + 40*l - 11482. Let c be k(-129). What is the closest to -1/44 in q, 3, c, 2/7?
2/7
Let s be 0 + 0 + 0 + 18/81. Which is the closest to s? (a) 0.1 (b) -0.2 (c) -7 (d) -8
a
Let z = 56031/22 + -2547. Which is the nearest to -1/5? (a) 0.5 (b) -11 (c) z
c
Let w(z) = z**3 + 5*z**2 + z + 7. Let h be w(-5). Let p = -103.7 + 104. Suppose 4*o + y = -8, 31 = -5*y + 11. Which is the closest to o? (a) p (b) -3 (c) h
a
Let j = 1.885 + -2.085. What is the closest to 0 in j, 6, -2, 8/7?
j
Let q(t) = 2*t**3 - 2*t**2 + 3*t - 5. Let g be q(2). Suppose -g*r + 4 = 4. Let b = -2/249 + -484/1743. What is the nearest to r in 2, 0.3, b?
b
Let w = 0.1 + -0.1. Let d = -391 - -433.9. Let l = 43 - d. What is the nearest to w in -3/5, 2, l?
l
Suppose 2*t + 15 = -t. Let q = -0.7113 + 0.4113. What is the closest to 0 in -0.03, 1/4, t, q?
-0.03
Let x = 11.564 + -9.364. What is the nearest to 0.2 in 0.3, x, -0.1, -9?
0.3
Let y = -2915 + 2819.2. Which is the closest to -0.1? (a) y (b) -2 (c) 1/2
c
Let w = 0.1 - 0.2. Let l = 1443/4 + -212353/588. Let m = 3/49 + l. What is the closest to w in -3/7, m, 0.6?
m
Let r = 587.02 + -587. Which is the nearest to -1? (a) 4 (b) r (c) 1/3 (d) 0
d
Let y = -28987 + 28986. Let v = 17 - 3. Let k be 4/v - (-264)/(-630). What is the closest to y in -5/17, 3, k?
-5/17
Let d = -170889 - -170887. Let q(r) = r**3 - 6*r**2 + 5*r - 8. Let o be q(6). Which is the closest to -0.1? (a) o (b) 5 (c) d
c
Suppose -8 = -4*t - 2*x, -2*t + 6*t - 3*x - 8 = 0. Let z = -28.9 + 65.5. Let m = -38.6 + z. Which is the closest to -2? (a) 0.5 (b) t (c) m
c
Let f be 17 + -16 + 8/(-10). What is the nearest to 1/3 in 9, f, 0.3?
0.3
Let x = 0.162 - 11.362. Let t = x + 11.1. Which is the nearest to t? (a) 5 (b) 2 (c) 1/5
c
Let i = -22798/7 + 3257. What is the closest to -1 in -3, -1/5, i, 0.4?
-1/5
Let s = -2279 - -2183. What is the closest to -0.2 in -2/15, s, 4/7?
-2/15
Let d = -25562 + 25527. Which is the closest to 2/3? (a) -4/9 (b) d (c) 0
c
Let q = 3.35 - 170.35. Let g = -166.5 - q. What is the nearest to 0.5 in g, 1/4, 3?
g
Let q = -7286 - -65575/9. Let c = 0 - -0.1. What is the nearest to c in q, 2/5, -0.4?
q
Let s = 246 - 147. Let z = s - 99.1. Let o = 230 - 3448/15. What is the closest to z in -1, o, 1/2?
o
Let j = -1175 + 1178. Let n be ((-19)/(-285))/((-1)/(-2)). Which is the closest to 2? (a) n (b) -2 (c) j
c
Let x = 287 + 342. Suppose 624*a + 5 = x*a. What is the nearest to a in -12, 1, 5?
1
Suppose 4*y + 4*f - 797 = 7*y, f = -5*y - 1290. Let h = 6.28 - 6.08. Which is the closest to y? (a) 4 (b) -2 (c) h (d) 1
b
Let x = 1235 + -1245. Let m = -165 + 161. Which is the nearest to -2/5? (a) 0.2 (b) m (c) -5 (d) x
a
Let f = -0.1 + 4.1. Suppose -5*i = i + 156. Let v be 3/12*(3 + i/6). Which is the nearest to v? (a) 2/3 (b) f (c) 0
c
Let v = 125 - 210. Let z = v - -28. Let g = z - -66. Which is the closest to -1/2? (a) g (b) -0.3 (c) -3/4
b
Let p(v) = -v**2 + 3. Let c be p(0). Suppose -3*q - 12 = 0, -c*m - 36 = m + 4*q. Let u = -11175 - -11174. What is the nearest to u in -0.5, 1, m?
-0.5
Let l = 38 - 37.8. Let w be (-21)/42 + (-305)/190 + 2. Which is the nearest to -2? (a) -0.2 (b) w (c) l (d) 2
a
Let i = -306 + 304.21. Let r = 1.39 + i. What is the nearest to -2 in r, -0.3, 3?
r
Let w be 1*2*(-4)/2. Let r be ((-9)/(-6))/(-2 + (-213)/(-102)). Let h be (8/12)/(r/51). Which is the nearest to 0.1? (a) w (b) h (c) 0
c
Let i = -2.47 + -20.93. Let b = -24.1 - i. What is the closest to -1 in 0.1, 0.3, b?
b
Let v = 164283 - 164283.1. Suppose 7*k = 2*k - 340. Let w = 206/3 + k. What is the nearest to v in 0.1, 0, w?
0
Let j = 3230.6 + -3231. Let h be ((-6)/(-14))/(8/(-14)). Let y = -1 - -3. Which is the closest to y? (a) h (b) -2/9 (c) j
b
Let k = -14.1 - -14.4. Let j = -17 + 20. Let t = 413 - 403. Which is the nearest to 2? (a) t (b) k (c) j
c
Let r = 65/357 + 18/119. What is the closest to 0.08 in r, -6, -0.1?
-0.1
Let g = -389.9 - -393.9. Which is the closest to 86? (a) -3 (b) 0.5 (c) g (d) 0.4
c
Suppose -184*q = -198*q - 14. Which is the closest to 0.1? (a) -1/3 (b) -15 (c) q (d) -7
a
Let k be 4/(-16) - (121/220)/(-11). Which is the nearest to -2/11? (a) k (b) -2/19 (c) 2
a
Let x = 6407 - 6402. What is the nearest to 0.1 in 2, -4, x, 10/13?
10/13
Let i = -17147 - -68591/4. Which is the closest to -1/21? (a) -0.5 (b) -5 (c) -6 (d) i
a
Suppose -2*n + 2 = -3*w + 23, 5*w = 4*n + 37. Let u = 2.4529 + -1.4529. Which is the
|
{
"pile_set_name": "DM Mathematics"
}
|
29
Let i = 2 + -1.9572. Let t = -0.0427427 + i. Round t to 5 dps.
0.00006
Let i = -0.694 + -226.306. Let r = i + 222.49. What is r rounded to 0 decimal places?
-5
Let g = 12.2397 - 1.9602. Let s = -2.3 - 8. Let f = g + s. What is f rounded to 2 dps?
-0.02
Let h = -5666 + 5661.1923. What is h rounded to one dp?
-4.8
Let f(t) = 823*t**2 + 6*t - 5. Let k be f(-5). Suppose 4*a - 4*u - 64 = 0, 3*a + 2*u = a + 24. Suppose a*w - k = -101740. Round w to the nearest one thousand.
-6000
Let t(h) = h + 5. Let o be t(12). Let m(f) = -f**3 + 17*f**2 - 7*f + 50. Let w be m(o). What is w rounded to the nearest one hundred?
-100
Let y = -34.934 + -0.066. Let r = 34.993 + y. Let h = -0.0069704 - r. Round h to five dps.
0.00003
Let f = 456694.332911 + -456930.967. Let m = 234.564 + f. Let u = 2.07 + m. Round u to five decimal places.
-0.00009
Let f = -678.82 - -676. Let o = -0.23715 - 2.582963. Let w = f - o. Round w to 5 decimal places.
0.00011
Let c = -10502 + 10505. Let f = 131659632 - 65059632. Suppose 0 = c*k + 6*k + f. What is k rounded to the nearest 1000000?
-7000000
Let v = 3663.25564 - 3663. What is v rounded to one dp?
0.3
Let c(i) = 2*i + 50. Let n be c(-23). Suppose 0 = -n*j + 1285819 + 638181. Round j to the nearest 100000.
500000
Let y = 4817 + 15519. Suppose 0 = -28*o - 32528 - y. Round o to the nearest 100.
-1900
Let l = -56202.51 - -55964. Let b = 32.2 - 274.2. Let k = l - b. What is k rounded to the nearest integer?
3
Let y = -323 + 323.0411. Let w = y + -0.02855. What is w rounded to three dps?
0.013
Suppose -s - 6 = s, d + 2748 = -5*s. Suppose -2*i + 102322 = -3*u, -u = -6*i + 2*i + 204664. Let m = d - i. What is m rounded to the nearest 10000?
-50000
Let i = -1913 - -1931.87. Let q = i + 151.93. Let r = q + -148. What is r rounded to the nearest integer?
23
Let g = -33.031 + 11.779. Round g to one decimal place.
-21.3
Suppose -84334 = -4*v + 4602. Let j = 12224 - v. Round j to the nearest 1000.
-10000
Let s(f) = 5*f - 2. Let h be s(0). Let v be 36/(-15)*(h - (-3127 + 0)). Round v to the nearest one thousand.
-8000
Let n = -19278 + 19315.324. What is n rounded to the nearest ten?
40
Let o = 27386.9707 - 27385. Let y = o - -0.0443. What is y rounded to 1 decimal place?
2
Let h be -6 - 748/(-121) - (-8032212)/(-66). Round h to the nearest 100000.
-100000
Let p = -82 + 17. Let v = -60 - p. Suppose v*i + 414 = 7*i. Round i to the nearest ten.
210
Suppose -4*z = 69785513 + 39489595. Let g = -18488777 - z. Round g to the nearest 1000000.
9000000
Let d = 334806 + -931309. Let t be (-102)/17*(-1 + d/(-3)). Round t to the nearest 100000.
-1200000
Suppose 0 = -161*f - 2243532 - 1752488. What is f rounded to the nearest 10000?
-20000
Let o = -1667.33 + 1660. Let b = o - -23. Round b to 0 decimal places.
16
Let f = -2560229319905923.99999951 - -2560229499823816. Let i = f + -179917894. Let q = 2 + i. Round q to seven decimal places.
0.0000005
Let a(y) = -y**2 - 9*y - 11. Let k be a(-2). Suppose 10*u = 5*u - 2*q - 391990, 0 = -4*u + k*q - 313615. What is u rounded to the nearest 1000?
-78000
Suppose 9*g - 47*g + 2597110 = 0. Let n be 52/14 - 6/(-21). Suppose n*u - g = -1248345. What is u rounded to the nearest one hundred thousand?
-300000
Suppose 137*u = b + 142*u + 1840, -15 = 3*u. What is b rounded to the nearest one thousand?
-2000
Let x = 55.4 + 6.6. Let m = -97 + x. Let h = -35.087 - m. Round h to two dps.
-0.09
Let x = -182 + -126. Let z = x - -309.985. Let c = z - 2. What is c rounded to 2 decimal places?
-0.02
Let c = 104265797.000328 - 104265423. Let n = c + -374. Round n to 5 dps.
0.00033
Let h = 325611690.0000309 + -325611705. Let d = 1521 - 1536. Let u = h - d. Round u to 6 dps.
0.000031
Let c = -103.6 + 176.5. Let i = c - 72.9000371. What is i rounded to five dps?
-0.00004
Let t = -0.13033 - -116.19033. Let j = 7.66 - t. Round j to zero dps.
-108
Let w = 2434 + -2392.24. Let o = 41 - w. Let f = o - -0.7600114. Round f to 6 dps.
0.000011
Let a = -52648840297661289.99999933 + 52648837204244424. Let i = a + 3093416701. Let q = 165 + i. What is q rounded to seven dps?
0.0000007
Let f = 181.85 - 185. Let w = 3.149999956 + f. What is w rounded to 7 decimal places?
0
Let a = -9438.91196 - -9439. Round a to 3 decimal places.
0.088
Let h = 21.776 + 0.344. Let x = -33 + h. What is x rounded to the nearest integer?
-11
Let a(c) = 457499*c**2 - 9*c + 22. Suppose 34*m - 29 = 39. Let d be a(m). What is d rounded to the nearest one hundred thousand?
1800000
Let t = 7331 + -7330.9999989555. What is t rounded to seven decimal places?
0.000001
Let i = 12037 - 11790.4. What is i rounded to the nearest ten?
250
Suppose 0 = -5*z + 9*z - 5*u + 13986, 4*u = z + 3502. What is z rounded to the nearest one hundred?
-3500
Let c(z) = z + 14. Let t be c(-13). Let m be (t/2 - 1)*-10. Suppose -30334003 - 61665997 = -m*u. What is u rounded to the nearest one million?
18000000
Suppose 10 = -3*w - 5. Let i(l) = 20*l**2 - 2*l - 4. Let u be i(w). What is u rounded to the nearest one hundred?
500
Let l = -451.9392 + -0.0608. Let y = -452.694 - l. Round y to 1 dp.
-0.7
Let a = 6.76 - 0.26. Let x = 3.37 - a. What is x rounded to 1 decimal place?
-3.1
Let j = 0.0213 + 3.1987. Let a = j + -3.22458. What is a rounded to four dps?
-0.0046
Let h = -1.3 - -4.8. Let m = -3.454 + h. Let y = m + 4.354. Round y to zero decimal places.
4
Let y(s) = -s**3 + 6*s**2 + 18*s - 11. Let h be y(8). Suppose -n = 5, -h*n = 4*b - 3843 + 392. Let q = b + -204. Round q to the nearest one hundred.
700
Let h = 0.108316004 - 0.1083. What is h rounded to 7 dps?
0.000016
Let n = 0.1208352 - 0.0077775. Let o = n - 0.113. What is o rounded to five decimal places?
0.00006
Suppose -2*l + 3*l = 466096. Suppose -i = 3*h - 9068404, -h - l + 3488880 = -4*i. Let v = h + 377200. What is v rounded to the nearest 1000000?
3000000
Let v = -809.5902197 - 249.409678. Let c = v + 1059. What is c rounded to five decimal places?
0.0001
Let g(b) = -14*b - 81. Suppose -a + 48 = 9*o - 4*o, -2*o = 5*a - 10. Let k be g(o). Round k to the nearest 100.
-200
Suppose -2*v + z + 10 = 0, 0 = -5*v - z - z + 16. Suppose 0 = -15*p + 11*p - 12, -v*w - 46086 = 2*p. What is w rounded to the nearest one thousand?
-12000
Let w be -2 - 213/(-21) - 25/175. Let q be ((-4)/w)/(4/353600). Round q to the nearest 10000.
-40000
Let p = -0.06244 - 1.28616. Round p to 2 dps.
-1.35
Let s = 1055647.666529777 + -26703.076030887. Let o = 1029013.5905 - s. Let d = o + -69. What is d rounded to 7 dps?
0.0000011
Let u = 17612.8675 - 17614. Round u to 1 decimal place.
-1.1
Let v = 114.679986006 - 114.68. Round v to 6 dps.
-0.000014
Let h = -0.19 - -0.236. Let m = -6950.9 + 6950.853897. Let y = m + h. Round y to 5 decimal places.
-0.0001
Let s = 16554 - 16506.716. What is s rounded to the nearest integer?
47
Let x = 2921381 + -7143481. What is x rounded to the nearest one million?
-4000000
Let k = 148.21 - 140.6519. Let h = -834 - -841.5. Let o = k - h. Round o to three decimal places.
0.058
Let l be 1/(-4) + (-34)/(-8). Suppose 0 = l*r + r - 10. Let x be r/1 - (10 - -899992). Round x to the nearest one million.
-1000000
Let t = 433 + -253. Let j = 2148468 - 2148647.9917. Let n = j + t. What is n rounded to three decimal places?
0.008
Let j(f) = 9125*f**3. Let n(w) = 5*w + 2. Let b be n(0). Let c be j(b). Round c to the nearest 10000.
70000
Let b = 176.98 + 1374.82. Round b to the nearest 100.
1600
Suppose -50505430 = -42*l + 140636570. Round l to the nearest 1000000.
5000000
Let h = -86 + -385. Let v = -470.9999569 - h. What is v rounded to six decimal places?
0.000043
Let u = 130 - 108. Let l(i) = 1290*i - 42 + 549*i + 572*i + 0. Let c be l(u). What is c rounded to the nearest 10000?
50000
Let n = 13585 + 192900. Let v(y) = -n*y - 1003511*y - 2 - 10. Let a be v(3). Round a to the nearest 1000000.
-4000000
Let q be (8/(-100)*-5)/(3/15). Suppose 93000 = v + y, -q*v = -3*y + 116587 - 302587. What is v rounded to the nearest one hundred thousand?
100000
Let t = 45 - 47.98. Let s = t - -1.69. Let f = s - -1.2900312. Round f to five dps.
0.00003
Let r = 74.458708011234 + 0.076745970766. Let d = r - -0.464549738. Let w = -75 + d. What is w rounded to 6 dps?
0.000004
Suppose -4*c + 55 = 127. Let i be 40/(-180) + (-6844)/c. What is i rounded to the nearest one th
|
{
"pile_set_name": "DM Mathematics"
}
|
8.03.
0.2409
What is 0.001 times 190?
0.19
0.97 times -0.3
-0.291
-3 * 0.0051
-0.0153
What is -53 times -0.05?
2.65
-9 * 258
-2322
What is -9.4 times -2.1?
19.74
Product of -14 and 15.
-210
Calculate 1.8*-4.
-7.2
0.1*233
23.3
Work out -523 * 1.
-523
Product of -1 and 17.05.
-17.05
Multiply -130 and -0.1.
13
5 * 0.94
4.7
Multiply 0.775 and 3.
2.325
0.21686 times -0.5
-0.10843
-12.872 * 4
-51.488
Calculate 0.49*-0.5.
-0.245
What is the product of -0.4 and -3.1?
1.24
Work out 1168 * -0.3.
-350.4
Product of 0.5 and 0.
0
741*-6
-4446
-312*3
-936
215 times 5
1075
22*7
154
6*-6
-36
Work out 1.8 * -11.
-19.8
0.03 times 270
8.1
Multiply 0.01 and -420.
-4.2
What is 0.7 times -38?
-26.6
What is -3 times -252?
756
368*2
736
What is the product of -0.3 and 1458?
-437.4
-43.34*-0.2
8.668
What is -113.06 times -0.4?
45.224
121.25 times -2
-242.5
1345*1
1345
Work out 141 * -0.42.
-59.22
What is -0.78 times -0.3?
0.234
7197 times 0.5
3598.5
5.5 times -0.42
-2.31
-119*0.3
-35.7
18 times -3.13
-56.34
What is the product of -0.3 and -75?
22.5
Work out 0.3 * 2.32.
0.696
What is 73 times 2?
146
What is 0.17 times -336?
-57.12
Calculate -0.06*6.
-0.36
9 * 0.28
2.52
Multiply -0.051 and -0.28.
0.01428
Calculate -0.43*37.
-15.91
-705.4 * 0.1
-70.54
Multiply -77 and 5.
-385
Product of 19 and 0.037.
0.703
Work out -1.65 * 0.1.
-0.165
Multiply 17 and -73.
-1241
What is the product of -1505 and 4?
-6020
Work out -5194 * 0.4.
-2077.6
Multiply -756 and -2.
1512
Product of 16755 and 2.
33510
What is 925 times -0.2?
-185
Product of 1.56 and 0.19.
0.2964
Product of 1 and -0.131.
-0.131
Calculate 26.4*0.3.
7.92
Product of -33 and 7.
-231
What is the product of -0.4 and -0.326?
0.1304
Product of -4 and 714.
-2856
What is -41 times 5?
-205
Multiply 28 and 42.
1176
38 * 0.03
1.14
What is -6 times -82?
492
-0.67 * -2.2
1.474
-1.7*-16
27.2
What is the product of 12.9 and 0.01?
0.129
Work out 0.109 * 0.3.
0.0327
Calculate -2110*0.03.
-63.3
Product of -10683 and 4.
-42732
What is the product of 0.81 and 0.5?
0.405
What is -0.3 times -33?
9.9
What is -67 times 0.32?
-21.44
Product of 18 and -0.08.
-1.44
Calculate -0.02175*5.
-0.10875
What is 5 times 1.15?
5.75
Work out 41 * 0.
0
Calculate 7.4*8.
59.2
0.2*-4.91
-0.982
What is 86 times -0.1?
-8.6
What is the product of 0.7 and -0.144?
-0.1008
Calculate -1.2*41.
-49.2
What is the product of -18.3 and 9?
-164.7
Product of -146 and -24.
3504
What is the product of 1.5 and -0.03?
-0.045
What is 2 times 8?
16
Product of 21 and -3.
-63
-3*-14
42
What is -131 times -5?
655
Multiply -2 and -80.
160
0.91*-40
-36.4
What is the product of -0.1 and -7.4?
0.74
Multiply -0.0219 and 69.
-1.5111
-400*1.6
-640
-0.828 * 17
-14.076
Calculate -0.4*151.8.
-60.72
982 * 4
3928
0.5*303
151.5
Multiply -879 and 0.1.
-87.9
Product of -2397 and 0.2.
-479.4
Product of -1895 and -5.
9475
11*3.07
33.77
What is -0.4 times 38?
-15.2
What is the product of -747 and 0.3?
-224.1
0.51 times -45.1
-23.001
-0.3 times 6629
-1988.7
Work out -0.4 * 46.
-18.4
Calculate 209*-0.1.
-20.9
What is the product of 28 and -4?
-112
Calculate -0.5*0.172.
-0.086
Product of -0.5 and -1.04.
0.52
Calculate 0.138*0.15.
0.0207
-1.85 * -1
1.85
What is the product of 0 and -3?
0
Product of 4.9 and 3.7.
18.13
Work out -225 * 0.2.
-45
-1 * 3606
-3606
Multiply 0.46 and 0.4.
0.184
What is the product of -3 and 14.6?
-43.8
Calculate -0.06*10.
-0.6
Multiply -0.035 and -8.
0.28
Product of -732 and 5.
-3660
0.0582 times 0.3
0.01746
What is 1.95 times 0.057?
0.11115
Work out 91.7 * -12.
-1100.4
Work out 0.6832 * 0.2.
0.13664
What is the product of -14 and -425?
5950
Calculate -0.1*672.
-67.2
What is the product of -64 and -4?
256
Calculate -2.8329*0.5.
-1.41645
What is -0.1 times 5?
-0.5
What is the product of -2.373 and 4?
-9.492
522*0.4
208.8
Calculate -24*2.5.
-60
0.5 times -0.051
-0.0255
-0.06 * -12
0.72
2 * 15.6
31.2
16 times 0.33
5.28
Product of -14 and -7.
98
1.004*0.3
0.3012
3821 * 0.3
1146.3
What is the product of 2 and -1.5?
-3
0.0747 * 9
0.6723
0.0591 * 5
0.2955
5 * -1.96
-9.8
-0.2 * 113
-22.6
-0.3 times -0.7224
0.21672
What is the product of -61 and 0.1?
-6.1
Calculate -570*0.4.
-228
-0.06 * -3.3
0.198
Calculate -26*-0.114.
2.964
What is the product of 554 and 11?
6094
Product of 1.06 and 0.6.
0.636
-0.0019 * 5
-0.0095
What is the product of 33 and 95?
3135
-0.2 * -2.26
0.452
What is the product of 1 and 5?
5
Multiply 428 and -10.
-4280
What is 936 times -0.2?
-187.2
Work out -2 * 0.0037.
-0.0074
Multiply -0.7 and -1.7.
1.19
What is the product of -42.26 and -0.5?
21.13
What is -75.16 times 0.3?
-22.548
Work out -403 * -0.4.
161.2
Work out -12.8 * -1.
12.8
-0.24 times -23
5.52
Multiply 446.8 and -4.
-1787.2
0.3*-26
-7.8
What is 5 times -0.096?
-0.48
What is 0.34 times 0.15?
0.051
Product of 0.4 and -11.
-4.4
-34 * 0.4
-13.6
Multiply 8 and 12.4.
99.2
0.05 * -0.16
-0.008
0*640
0
-16.5 * 2
-33
Multiply 0.5 and 38.9.
19.45
-3 times 1.275
-3.825
Multiply 2 and 16.
32
Calculate -8480*-0.2.
1696
What is 0.3 times 7?
2.1
-0.019*-5
0.095
Multiply 0 and -0.0093.
0
Work out -4 * -1450.
5800
-2.6*1.1
-2.86
Multiply 193.3 and 4.
773.2
Multiply 108.2 and 3.
324.6
Product of 1.27 and 6.
7.62
Work out 0.14 * -0.4.
-0.056
What is 1 times -0.222?
-0.222
What is 0 times -395?
0
Multiply 17.7 and 4.
70.8
Multiply 0.116 and 4.
0.464
What is 0.9 times -0.017?
-0.0153
0.0574 times -1
-0.0574
Product of 0.05 and -322.
-16.1
What is 0.0321 times -2?
-0.0642
Multiply -0.1 and 2297.
-229.7
68 * -6
-408
23.9 times 0.2
4.78
-266 * 1
-266
What is the product of 4 and -5139?
-20556
0.057 * -29
-1.653
-0.0356 * -5
0.178
Multiply 0.1 and 1339.
133.9
What is the product of -80 and 0.2?
-16
-60 times -0.3
18
Work out -0.1 * -10.26.
1.026
-0.04 * 0.1
-0.004
Product of -0.095 and 100.
-9.5
What is 9.59 times 0.5?
4.795
Calculate 31*0.1.
3.1
What is 3 times -27?
-81
What is the product of -2.5 and -0.2?
0.5
-82*4.1
-336.2
Calculate 2.8*31.
86.8
-47 * 28
-1316
Calculate -0.074*0.2.
-0.0148
What is the product of -1.7 and -0.101?
0.1717
What is the product of 2 and 104.9?
209.8
-750 times 0.5
-375
Multiply -2 and -0.76.
1.52
-0.034*-2
0.068
Calculate -1*39.
-39
Multiply 0 and 111.2.
0
Calculate 17*-4.4.
-74.8
Work out 0.4 * -0.2.
-0.08
What is the product of -90 and 1.3?
-117
Multiply -3 and 0.389.
-1.167
What is the product of 110 and -0.3?
-33
What is the product of -236 and -0.5?
118
Multiply -5 and -0.62.
3.1
0.21*-0.5
-0.105
Multiply -0.4 and -0.07.
0.028
What is the product of 3.3 and 381?
1257.3
Product of 3.84 and -0.4.
-1.536
Product of 1.66 and 1.
1.66
Calculate -2*0.0135.
-0.027
-668 * -1.3
868.4
Multiply 3 and 155.
465
Calculate 0.4*0.1.
0.04
Multiply -485.8 and 2.
-971.6
-0.11*1.75
-0.1925
What is 0.4 times 0.1655?
0.0662
What is the product of -11 and 116?
-1276
Calculate 3.5*3.
10.5
What is the product of -0.035 and 0.0087?
-0.0003045
Product of -7 and 9.2.
-64.4
Work out -4 * -276.
1104
Multiply -0.1 and -0.34.
0.034
What is the product of -20.8 and -1.2?
24.96
-5*-2358
11790
0.4 * -0.059
-0.0236
-21 times -0.02
0.42
What is -232.8 times -5?
1164
-0.04 times -1119
44.76
-0.68*0.08
-0.0544
-0.26 * -0.5
0.13
What is the product of -5 and 127?
-635
1*1115
1115
-3 times -834
2502
Work out 2 * -2241.
-4482
-0.114 times 5
-0.57
What is the product of -13440 and 3?
-40320
-0.54 * 0.4
-0.216
Work out 0.02477 * 0.
0
What is -0.019 times 0.09?
-0.00171
Product of -0.07921 and -5.
0.39605
-0.387*3
-1.161
Multiply -0.205 and 0.6.
-0.123
Product of -860 and -0.1.
86
Work out 0.12 * 16.
1.92
What is -238 times -0.1?
23.8
2 * 133
266
Product of 18.01 and 0.
0
0.25*-0.2
-0.05
Multiply 1.88 and 7.
13.16
0.4*-29
-11.6
5 * -263
-1315
Product of -1.6 and -0.12.
0.192
Calculate -0.009*3.
-0.027
0.14 times -2.52
-0.3528
Multiply -0.4 and -0.08.
0.032
Product of 54 and 0.002.
0.108
-0.4 * -853
341.2
What is 194 times -4?
-776
Multiply 27 and -11.
-297
-0.1 times 5517
-551.7
3*0.9
2.7
Work out -114 * -0.3.
34.2
What is -8 times 382?
-3056
Multiply -0.4 and 85.
-34
What is the product of -4 and -0.44?
1.76
Product of -28 and -12.
336
Calculate 1*-290.
-290
1279 times 0.12
153.48
Multiply -0.3 and 204.
-61.2
Calculate -0.4*0.2.
-0.08
18*2
36
Multiply -626 and 0.12.
-75.12
Calculate -1633*0.5.
-816.5
Multiply -0.2 and 148.
-29.6
Product of
|
{
"pile_set_name": "DM Mathematics"
}
|
of 2*q**5/15 - 7*q**4/24 - 7*q**3/6 - 6*q**2. Let w = -4 - -10. Give w*y(a) + 7*t(a).
-a**2
Let y(r) = -r - 1. Suppose -13 = -5*b + 12. Let n(w) = -9*w**2 - 14*w - 17. Let g(f) = -5*f**2 - 7*f - 9. Let l(m) = -11*g(m) + 6*n(m). Determine b*y(k) - l(k).
-k**2 + 2*k - 2
Let s(g) = -g**2 + 3*g - 5. Let c(t) = -t + 1. Let u(x) = 3*c(x) + s(x). Let w(a) = -5*a + 2. Let o be w(1). Let v(h) = h**2 + 3. Give o*u(k) - 2*v(k).
k**2
Let i(d) = 2*d - 5. Let c(v) = 3*v - 6. What is 4*c(b) - 5*i(b)?
2*b + 1
Let g(f) = -6*f**3 + 6*f**2 - 25*f - 1. Let o(c) = 7*c**3 - 7*c**2 + 26*c + 1. Calculate -5*g(k) - 4*o(k).
2*k**3 - 2*k**2 + 21*k + 1
Let c(h) = 6*h - 3. Let p(j) = -17*j + 8. Suppose 0*i - i + 2 = 3*l, 4*i - 8 = 5*l. Let k be 11*(l - 1)*1. Calculate k*c(d) - 4*p(d).
2*d + 1
Let h = -38 + 21. Let b(c) = 2*c - 6. Let y(f) = 1. Let j(v) = b(v) - y(v). Let n(i) = -6*i + 20. Suppose -9*z - 70 + 16 = 0. Determine h*j(a) + z*n(a).
2*a - 1
Let d(f) = -13*f**2 - 6*f. Let c(m) = 12*m**2 + 5*m. Give 6*c(k) + 5*d(k).
7*k**2
Let v(p) = 5*p**2 - 4*p - 1. Let w(h) = h**2 - h - 1. Calculate v(y) - 4*w(y).
y**2 + 3
Let g(c) = 3*c**2. Let w(t) be the first derivative of t**2/2 - 3. What is g(z) - w(z)?
3*z**2 - z
Let m(g) = g + 1. Let w(i) be the third derivative of -i**7/5040 - i**6/720 + i**5/10 + 4*i**2. Let y(c) be the third derivative of w(c). Give -3*m(q) - 4*y(q).
q + 1
Let k(a) = 8*a**3 - 7. Let m(d) = -d**3 - 5*d**2 - 5*d + 1. Let f(i) = i**2 + i. Let h(b) = 5*f(b) + m(b). Calculate 6*h(u) + k(u).
2*u**3 - 1
Let u(d) = 3*d**3 - 3*d - 1. Let w(o) be the second derivative of -o**3/6 - o**2/2 + 10*o. Determine u(p) - 3*w(p).
3*p**3 + 2
Let t(o) = -5*o + 1. Let b = 19 + -25. Let k(l) = 4*l - 1. Calculate b*k(r) - 5*t(r).
r + 1
Let b(n) = n - 1. Let z(f) = -4*f + 4. What is 11*b(y) + 2*z(y)?
3*y - 3
Let y(w) = -3*w**3 - 5*w**2 - 4*w - 2. Let u(s) be the first derivative of s**4/2 + s**3 + s**2 + s - 3. Determine -5*u(p) - 3*y(p).
-p**3 + 2*p + 1
Suppose 7 - 17 = 5*m, 0 = 2*o - 3*m + 2. Let u(z) = z**2 - 5*z + 5. Let y(s) = s**2 - 2*s + 2. Determine o*u(t) + 10*y(t).
6*t**2
Let q(s) = -s**2 + s. Suppose -o + 9 = 2*o. Let m(u) = -5*u**2 + u - 1. What is o*q(x) - m(x)?
2*x**2 + 2*x + 1
Let a(p) = -3*p - 2. Let f(y) = -2*y. Let s(h) = -6*h - 9. Let g(b) = -5*f(b) - s(b). Give 11*a(u) + 2*g(u).
-u - 4
Let f(z) = z - 1. Let d(t) = 8*t - 15*t + 5 + 5*t. Let w be (-6)/15 + 36/(-10). Calculate w*f(b) - d(b).
-2*b - 1
Let a(t) = -2*t + 4. Let h(o) = -3*o + 4. Determine 3*a(x) - 4*h(x).
6*x - 4
Let q(z) = 2 + 3*z + 5 - 4. Let g be q(10). Let p(b) = 5*b**2 - 2*b. Let d(a) = -81*a**2 + 33*a. Calculate g*p(s) + 2*d(s).
3*s**2
Let n be 4*-1*(-2)/4. Let o(g) = -5*g**3 + 3*g**3 - n - 3*g + 2. Let x(m) = 4*m**3 + 7*m. Calculate 7*o(i) + 3*x(i).
-2*i**3
Let f(q) = -5*q + 1. Let n(r) = -10*r + 3. Give 5*f(y) - 2*n(y).
-5*y - 1
Let f(w) = w**2 + 9*w + 3. Let d(c) = 5*c + 1. Give 5*d(v) - 2*f(v).
-2*v**2 + 7*v - 1
Let v(q) = 26*q**2 + 20*q - 6. Let i(b) = -9*b**2 - 7*b + 2. Calculate 11*i(d) + 4*v(d).
5*d**2 + 3*d - 2
Let r(u) = 10*u. Suppose m - 3*m + 10 = 0. Let a(f) = -5*f. Calculate m*a(c) + 2*r(c).
-5*c
Let n(c) = -c + 14. Let f(u) = 2*u - 28. Calculate -4*f(t) - 7*n(t).
-t + 14
Let r(x) be the second derivative of 2*x - 3/20*x**5 - 2/3*x**3 + 0 + 0*x**2 - 1/3*x**4. Let z(p) = 4*p**3 + 5*p**2 + 5*p. Calculate 5*r(d) + 4*z(d).
d**3
Let u(y) = y**2 + y + 1. Suppose 5*q + 13 = -8*q. Let h(p) = -6*p**2 - 4*p - 3. What is q*h(f) - 4*u(f)?
2*f**2 - 1
Let d(k) = 3*k**3 - 10*k**2 + k. Let z(f) = -16*f**3 + 51*f**2 - 5*f. What is 11*d(v) + 2*z(v)?
v**3 - 8*v**2 + v
Let s be (-9)/(-18)*(0 + 10). Let z(b) = b**3 + b - 1. Let h(a) = 8*a**3 + 2*a**2 + 5*a - 5. What is s*z(q) - h(q)?
-3*q**3 - 2*q**2
Let i(s) = 1. Let o(f) = 2*f + 9. Calculate -4*i(k) + o(k).
2*k + 5
Let f(a) = a**3 - 3*a. Let z(x) = 4*x. Calculate -4*f(l) - 3*z(l).
-4*l**3
Let y(j) = -9*j**3 - 10*j**2 + 9*j + 9. Let q(u) = u**2 - u - 1. Determine 18*q(d) + 2*y(d).
-18*d**3 - 2*d**2
Let z(f) = f - 4. Let g(u) = -1 + u + 0 - 2. Suppose x + 3*t + 9 = 6*x, 4*t = -x + 11. Calculate x*g(h) - 2*z(h).
h - 1
Let g(a) = 15*a + 15. Let t(n) = 7*n + 7. Determine -3*g(f) + 7*t(f).
4*f + 4
Let p(t) = 3*t**2 - 2*t + 2. Let a(x) = -6*x**2 + 5*x - 5. Suppose -7 = c + 2*h - 2, 2*h = 0. What is c*p(q) - 2*a(q)?
-3*q**2
Let m(q) = 15*q**3 - 8*q**2 - 8*q - 8. Let k(f) = -10*f**3 + 5*f**2 + 5*f + 5. Suppose 0*b - 4*b - 18 = -z, -3*b - 4*z = 23. What is b*m(v) - 8*k(v)?
5*v**3
Let l = -100 - -140. Suppose 2*s + 3*s + l = 0. Let g(j) = 5*j**2 - 6*j - 8. Let i(h) = -3*h**2 + 4*h + 5. Give s*i(u) - 5*g(u).
-u**2 - 2*u
Let v(q) = -q**2 - q + 6. Let t(k) = -3*k**2 - 2*k + 17. Calculate -3*t(c) + 8*v(c).
c**2 - 2*c - 3
Let r(o) = -o - 1. Let v(x) = 6 + 4*x - 5*x + 6*x + 1. Calculate 4*r(f) + v(f).
f + 3
Let v(y) = 20*y + 32. Let t(o) = -5 + 12 + 4 + 7*o. Let w(k) = 11*t(k) - 4*v(k). Let h(z) be the first derivative of -z**2 - 4*z - 8. What is 10*h(s) - 6*w(s)?
-2*s + 2
Let g(w) be the third derivative of -w**6/120 - w**5/30 + w**4/8 + w**3/6 + 23*w**2. Let t(z) = -3*z + z**3 + z**2 + 2*z + 0*z. What is -g(s) - 2*t(s)?
-s**3 - s - 1
Let x(j) = j. Let u(c) = -c - 1. Let y(o) = -2*o + 3. Let k(z) = 5*u(z) + y(z). Give -k(d) - 5*x(d).
2*d + 2
Let y(s) = -6*s**2 + 3*s - 5. Suppose 4*g - 5*g = -3. Let t(u) = -7*u**2 + 4*u - 6. Calculate g*t(d) - 4*y(d).
3*d**2 + 2
Let g(f) = 3*f + 6. Let m(y) = -4*y - 6. Calculate -5*g(p) - 4*m(p).
p - 6
Let g(r) = 2*r - 1. Let z be (-3)/(-12) - (-5)/(20/(-21)). Let y(d) = d. Calculate z*y(a) + 2*g(a).
-a - 2
Let w(g) = -g**2 + g - 1. Suppose -4*b + 2*s + 0 - 6 = 0, 5*b + 4*s = 25. Let o(f) = -5*f**2 + 2*f - 2. Let z be 4/14 + 208/(-91). Calculate b*o(v) + z*w(v).
-3*v**2
Let t(a) = 3*a**2 - 7*a + 4. Suppose 0 = h - 4*m - 23 + 7, 5*h = -2*m + 14. Let d(z) = 8*z**2 - 20*z + 11. What is h*d(b) - 11*t(b)?
-b**2 - 3*b
Let p(c) = 5*c**2 - 4*c. Let d(j) = j**2 + j. Calculate 4*d(m) + p(m).
9*m**2
Let m(l) = 2*l + 3. Let o(q) be the second derivative of -q**3/2 - 7*q**2/2 + 6*q - 1. What is 7*m(a) + 3*o(a)?
5*a
Let y = 13 + -12. Let p be y + -4 + 1 + -2. Let b(v) = -14*v - 5. Let x(s) = -5*s - 2. Determine p*b(k) + 11*x(k).
k - 2
Let g(l) = 5*l**2 - 2*l - 4. Let u(j) = -j**3 + 11*j**2 - 5*j - 7. Give -5*g(n) + 2*u(n).
-2*n**3 - 3*n**2 + 6
Let d(z) = -5*z. Let p(j) = j. Calculate -4*d(a) - 36*p(a).
-16*a
Let q(p) = 2*p**2 - 4*p - 5. Let d(n) = -4*n**2 + 16*n + 4. Let g(j) = -4*j**2 + 15*j + 5. Let l(a) = 6*d(a) - 7*g(a). Determine 6*l(y) - 13*q(y).
-2*y**2 - 2*y - 1
Let u(k) = -16*k + 5. Let p(b) = -1 + 4*b - 1 + 1 - b. Determine -22*p(c) - 4*u(c).
-2*c + 2
Let q(i) be the third derivative of -i**5/60 - i**4/8 + i**3/6 + 27*i**2. Let a(g) = g**2 + 3*g - 1. Determine 3*a(o) + 2*q(o).
o**2 + 3*o - 1
Let j(q) = 8*q**2 - 5*q - 2. Let b = 10 - 4. Let a(m) = m**2 - m. Let n = -2 + 1. Give b*a(c) + n*j(c).
-2*c**2 - c + 2
Let x(o) = 7*o**3 + 5*o**2 - 4*o + 5. Let k(r) = 3*r**3 + 3*r**2 - 2*r + 3. Give -10*k(j) + 6*x(j).
12*j**3 - 4*j
Let g(k) = 3*k**2 + 2*k - 1. Let z(v) = 7*v**2 + 4*v - 3. Give -5*g(n) + 2*z(n).
-n**2 - 2*n - 1
Let m(h) be the first derivative of 4*h**3/3 - h**2/2 - 4*h - 10. Let k(j) = 2*j**2 - j - 2. Determine -5*k(n) + 3*m(n).
2*n**2 + 2*n - 2
Let l(x) = x**3 - 2*x**2 + 3*x + 4. Let n(s) = -4*s**3 + 9*s**2 - 13*s - 17. Determine -26*l(q) - 6*n(q).
-2*q**3 - 2*q**2 - 2
Let p(j) = 2*j**3 + 17*j**2 - 13*j + 11. Let t(m) = m**3 + 8*m**2 - 6*m + 5. Determine -6*p(n) + 13*t(n).
n**3 + 2*n**2 - 1
Suppose -3*n + 2 = -2*q, 2*q + 2 + 0 = 5*n. Let v(u) = -u**2 + 4*u + 7. Let l(z) = -z - 1. Give q*v(o) - 5*l(o).
o**2 + o - 2
Let j(s) = -s**2 + s + 1. Let c be 4/18 - 88/(-9). Let x(b) = -2*b**2 + 2*b + 2. Calculate c*j(i) - 4*x(i).
-2*i**2 + 2*i + 2
Let h(l) = -l**3 - 9*l + 6. Let n(t) = 3*t**3 + 26*t - 17. What is 17*h(s) + 6*n(s)?
s**3 + 3*s
Let a(f) = 36*f**3 + 21*f**2 + 21. Let q(n) = -7*n**3 - 4*n**2 - 4. Suppose -4*w + 2*y + 0*y - 82 = 0, 3*y = 5*w + 102. Give w*q(s) - 4*a(s).
3*s**3
Let q(x) = x**2 + 3*x - 3. Let k be q(-6). Suppose -5*w = -2*w + k. Let g(f) = -4*f**3 + 5*f + 3. Let t(l) = -2*l**3 + 2*l + 1. Give w*t(u) + 2*g(u).
2*u**3 + 1
Let q(s) be the first derivative of 9/2*s**2 + 2 + 2/3*s**3 + 5*s. Let o(m) be the se
|
{
"pile_set_name": "DM Mathematics"
}
|
= 4*b + 7. Let a(g) = 3*t(g) + 5*y(g). Let x be a(7). Let n = x + 38. Calculate the remainder when n is divided by 6.
3
Suppose -4*m = m - 5*u - 30, -4*m + 6 = 5*u. Suppose 0 = 5*h - 2*h + m*l - 23, -h + 25 = -3*l. Let p = -15 + 20. What is the remainder when h is divided by p?
3
Let b(m) = m - 2*m + 2*m + 8. Let q be b(-7). Suppose 4 = 5*t - q. What is the remainder when t is divided by 1?
0
Suppose 3*a = -12, 6*v - 3*v = 4*a + 37. Suppose 4*m + 211 = 5*p, -p - m + 2 = -33. What is the remainder when p is divided by v?
4
Suppose 436 - 16 = 10*q. What is the remainder when 125 is divided by q?
41
Let s = -978 + 1050. Calculate the remainder when 207 is divided by s.
63
Let j(k) = -k**3 + 8*k**2 + k - 10. Let v be 4/(5*1/10). Let s be j(v). What is the remainder when 105 is divided by (162/12)/(s/(-4))?
24
Suppose -5*k - 17 = -37. Suppose 126*y = 129*y - 21. Calculate the remainder when y is divided by k.
3
Let z(q) = -2*q + 59. Suppose -10*w + 8*w - 14 = 0. What is the remainder when z(w) is divided by 37?
36
Let v(b) = -11 - 16*b + 5*b + 13*b. What is the remainder when v(15) is divided by 7?
5
Let c be -2 + 2 + -1 + 0. Suppose 5*m + 4*b - 18 = 0, -b = -m - 6 + 15. What is the remainder when 20/2 + 1 + c is divided by m?
4
Suppose 3*j + 6*r = -0*j + 270, 5*r + 292 = 3*j. Calculate the remainder when 225 is divided by j.
37
Calculate the remainder when 173 is divided by (-225)/(-6)*(-38)/(-57).
23
Suppose -12 = 20*o - 152. Suppose 4*l + 3*c = 123, 4*c - 133 = -4*l - 5. What is the remainder when l is divided by o?
6
Let n = -45 - 2. Let k = n - -67. What is the remainder when 58 is divided by k?
18
Let v(g) = g**2 + 8*g - 7. Let b be v(-7). Let c(p) = p**3 - 3*p - 2*p + 11*p**2 - 17 + 3*p**2 + 0*p. What is the remainder when c(b) is divided by 28?
25
Let a(n) be the third derivative of -n**6/60 - n**5/60 - n**4/8 - 2*n**3/3 - 9*n**2. What is the remainder when 53 is divided by a(-2)?
11
What is the remainder when 242 is divided by -9*(-6*1)/((-40)/(-60))?
80
Suppose -2*k - 2*o + 54 = 14, -2*k = -3*o - 40. What is the remainder when 346/6 + 2/6 is divided by k?
18
Let t = -1513 + 1569. What is the remainder when t is divided by 31?
25
Suppose -2*j = -7 - 3. Let b = 9 - j. Suppose p - 7 = -2*l - l, p - 11 = -b*l. Calculate the remainder when 14 is divided by l.
2
Let i = -23 - -126. Suppose 5*u - 10 + 0 = 0. Suppose 3*o + 43 = u*f, 18 = -4*f + 5*o + i. What is the remainder when f is divided by 7?
6
Let g = -741 - -808. Calculate the remainder when 135 is divided by g.
1
Let g be (-4 - -3)/((-3)/6). Suppose -7 - 33 = -g*b. Suppose o + 5*j = 4 + b, 5*o - 2*j = 66. Calculate the remainder when o is divided by 8.
6
Suppose 5*z - 5*j - 4 = 21, -z = 2*j - 8. Calculate the remainder when 17 is divided by z.
5
Suppose -3*f = -w - 5, -7*w + 3 = -f - 2*w. Suppose 0 = 5*i + 5*x - 20, 8*i - 23 = 3*i - f*x. Calculate the remainder when 11 is divided by i.
1
Suppose -11 = -m + 27*b - 32*b, -3*b = 0. Calculate the remainder when 62 is divided by m.
7
Suppose v + 4 = -4*o, 4*v + o = -0*v + 14. Calculate the remainder when 23 is divided by (-2*v/(-3))/(4/18).
11
Let o(s) = s**3 + 10*s**2 + 12*s - 7. Suppose -5*k + 1 = -a, -4*a - 13 - 9 = -2*k. Calculate the remainder when o(a) is divided by 48/3 + (2 - 1).
14
Let n(v) = -5*v**3 - 1. Let p(t) = t + 3. Let a be p(-4). What is the remainder when n(a) is divided by (-47)/(-15) - (-46)/(-345)?
1
Suppose -96 = h - 147. What is the remainder when h is divided by 11?
7
Let f(q) = 22*q**3 - q**2 - 37*q + 39. Suppose -3*h - 52 + 322 = 0. What is the remainder when h is divided by f(1)?
21
Suppose s = -2*s + 18. Let f = 36 + -26. What is the remainder when s/f + 335/25 is divided by 5?
4
Let g = 17 - 12. Suppose -12*v + 228 = -0*v. What is the remainder when v is divided by g?
4
Let u(c) = 3*c + 1. Let r be u(-4). Let p = -11 - r. Suppose p = -5*l - h + 38, -3*l + h - 10 = -4*l. What is the remainder when l is divided by 5?
2
Let n = -806 + 816. Let d(u) = -u. Let b(s) = -37*s**2 - 3*s. Let g(f) = -b(f) + 2*d(f). Calculate the remainder when g(1) is divided by n.
8
Let j(m) = m**3 + 13*m**2 + 22*m + 49. Calculate the remainder when j(-10) is divided by 41.
6
Suppose -4*j = -7*j + 24. Let t(v) = 5*v - 9. What is the remainder when t(j) is divided by 18 - (-1 + 3 - 1)?
14
Let x = 32 + -52. Let p = x + 96. What is the remainder when p is divided by 5 + -3 - 1 - -25?
24
Let r(m) = 2*m - 1. Let a(l) be the second derivative of -l**5/20 + l**4/3 - 2*l**2 - 3*l. Let v be a(3). Calculate the remainder when 16 is divided by r(v).
7
Let i be (6/10)/((-2)/(-10)). Suppose 5*k - 35 = -i*v + 31, 0 = -4*k - 4*v + 48. Suppose 0 = -2*t + 413 - 297. What is the remainder when t is divided by k?
13
Let i(c) = 4*c**3 - 3*c**2 + 2*c - 1. Suppose 2*d - 70 = 2*r - r, -3*r - 214 = -2*d. What is the remainder when i(2) is divided by 162/r*32/(-6)?
11
Let n = 8 - 5. Suppose -y - 6 = -4*g, -y + n = -g + 6. Suppose 5*m + g = 11. What is the remainder when 6 is divided by m?
0
Suppose -3*z - 56 = -170. Let l = 59 - z. Calculate the remainder when l is divided by 12.
9
Let v = 45 + -23. Suppose 261 = -4*t + n, -255 = 3*t + t - 3*n. Calculate the remainder when 38 is divided by (-516)/t + 4/v.
6
Suppose 86*l = 85*l + 1790. Calculate the remainder when l is divided by 16.
14
What is the remainder when 27 + 3 - (2 - 8) is divided by 10?
6
Suppose 65 - 21 = -2*c. Let w = 37 + c. Calculate the remainder when 73 is divided by w.
13
Let k = 379 - 231. What is the remainder when (-11)/(-22)*((2 - 0) + k) is divided by 39?
36
Let h(t) = -t**3 - 17*t**2 - 2*t - 25. Let m be h(-17). Calculate the remainder when 61 is divided by (-96)/m*(-6)/4.
13
Let g(m) = -m - 6. Let s be g(-10). Let y = s - 1. Let h = 31 - 21. What is the remainder when h is divided by y?
1
Suppose 0 = q - 2*x + 1, -22 = x - 25. Let j(m) = 7*m - 7*m**2 - 5 + 6*m + 0*m + m**3. Calculate the remainder when 19 is divided by j(q).
9
Let j(i) be the first derivative of 3 + 1/4*i**4 + 0*i**3 + 0*i - i**2. Calculate the remainder when j(2) is divided by 2.
0
Suppose -5*b + 1 = -9. Suppose -b*a - y - 3*y + 106 = 0, -4*a + 5*y = -212. Calculate the remainder when 102 is divided by a.
49
Let t = -502 - -519. Calculate the remainder when 98 is divided by t.
13
Suppose -3*h - 20 = -479. Calculate the remainder when h is divided by 32.
25
Let k(w) = 8 + 4 - 3 + w. Let h be k(-8). Calculate the remainder when 51 is divided by 1 + 13 - h - 0.
12
Suppose -3*g + 8 + 25 = 0. Let x be ((-1)/(-3))/(4/36). Suppose u - 40 = x. Calculate the remainder when u is divided by g.
10
Calculate the remainder when -3*(-3)/(9/8) is divided by 6.
2
Suppose 3*t + 133 = -4*t. What is the remainder when 0/(-1) - (t - 8) is divided by 1/(1/(-7)*-1)?
6
Let l = -149 + 240. What is the remainder when l is divided by 31?
29
Let n = -4 + 9. Suppose 15 = -2*a + n*a. Suppose -a*k + k = -44. What is the remainder when 30 is divided by k?
8
Suppose 5*q - 14 = -44. Calculate the remainder when 10/5*(-15)/(-2) is divided by (q/2)/(4/(-12)).
6
Let p(n) be the first derivative of -1/2*n**2 + 18*n - 2. What is the remainder when 7 is divided by p(13)?
2
Suppose -3*z + m = -1, 5*z = -0*z - 4*m - 4. Suppose s + 4*c - 63 = -2*s, -3*c = z. Let d = 10 + s. What is the remainder when d is divided by 16?
15
Let r(t) = -3*t + 50. Suppose -71*n + 75 = -66*n. What is the remainder when 14 is divided by r(n)?
4
Calculate the remainder when 108 is divided by ((-21)/6)/(14 + -15)*8.
24
Calculate the remainder when 4*(-21)/28 + 228/1 is divided by 58.
51
Suppose 4*p + 20 = 0, 3*p + 10 = 2*z - 69. What is the remainder when 285 is divided by z?
29
Let f(g) = 8*g - 1. Suppose 24*d - 13*d - 1111 = 0. Let o = d + -87. Calculate the remainder when f(5) is divided by o.
11
Let w(q) = -q**3 - 55*q**2 - 156*q + 42. What is the remainder when 88 is divided by w(-52)?
4
Let i be 12/(-10)*(-50)/(-20). Let d = i + -1. Let l = 29 + d. What is the remainder when l is divided by 7?
4
Suppose 36 = 13*o - 4*o. Let c be 1/(-3 - (-952)/317). Suppose -3*k = 5*m - c - 105, -o*m + 3*k = -316. What is the remainder when m is divided by 14?
12
Suppose 2*a + 47 = 3*q - 49, 64 = 2*q + 4*a. Calculate the remainder when 222 is divided by q.
30
Let u(w) be the third derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
(d) 2
d
Let y = -2913614/7 + 417314. Let u = y + -1083. Let o = 0 + 2. Which is the closest to o? (a) 15/2 (b) u (c) 0
b
Let f(u) = 6*u + 4. Let n be f(-1). Let x = 0.03891 + 0.06109. Which is the closest to x? (a) -5 (b) -6 (c) n (d) 1
d
Let j = 19/70 - -1/70. Let g be (-3)/(-2)*((-303)/99 + 3). What is the nearest to j in -0.1, -0.2, g, -4/9?
g
Let o(w) = 1349*w - 4042. Let p be o(3). Which is the closest to 96? (a) p (b) -2/17 (c) 0
a
Let c = 5.3 - 6.3. Let o = -696 + 712. What is the closest to 0.1 in 3, -3, c, o?
c
Let f = 19.0514 - 0.0514. Let l = f + -33. What is the nearest to l in 1/2, 0.2, -0.1, 3?
-0.1
Let s = -0.3476 + -7.6524. What is the closest to -2 in 0.1, s, 0.2?
0.1
Let h = 7.56 - 997.56. What is the closest to 2/3 in 5, -0.1, h?
-0.1
Let n = 151 + -150.4. Which is the closest to -1? (a) 3 (b) 82 (c) n
c
Let g = 2364 + -2363.9. What is the nearest to -2/3 in 0.2, g, -8, -11?
g
Let q be 7 + -10 - 11/(-4). Let z(v) = v**3 + 11*v**2 - v - 4. Let o be z(-11). Suppose p - o*p = -p. What is the closest to q in 0.4, p, -3/8?
-3/8
Let d = -57.5 - -57.49. Which is the nearest to 0? (a) -5.1 (b) d (c) -0.3
b
Let l = -44.56 + 41.46. Which is the nearest to -1? (a) 1/3 (b) l (c) 0.1
c
Let j be 2/(-5) - 17610/225. Let u = 79 + j. Suppose 2*q - 3*y + 5 = 0, 0*q - 3*y = -3*q - 6. What is the nearest to u in 4, q, 0.4?
0.4
Suppose 24*z + 335 = 29*z. Let h = -537/8 + z. Which is the closest to 1? (a) 0.4 (b) 0.1 (c) h
a
Let f be (32/(-192))/((-6)/4). Let w = -0.18 - -0.18. Let s be 24/(-60) + 24/110. What is the closest to f in w, s, -3?
w
Suppose -5*d + d = 20. Let q be (-2)/(-10) + (d - (-186)/(-5)). Let p = q - -48. Which is the nearest to -0.1? (a) p (b) -0.4 (c) -2/7
c
Let x = -4391 - -4392.1. What is the nearest to 0 in x, -0.3, 4, 11?
-0.3
Let s be (2/(-9) + (-32)/(-63))/((-842)/5894). What is the nearest to 33 in 0.4, s, 0.6?
0.6
Let j(q) be the first derivative of 8*q**2 - 101*q + 15. Let h be j(6). Which is the nearest to 1/2? (a) -4 (b) 3 (c) h
b
Suppose 6*d + 3 = 3*d. Let f = -2.2 + 1.5. Let t = -0.7 - f. Which is the nearest to 2? (a) 3 (b) t (c) d
a
Let w be -255*(-6 + 6 + (1 - 0)). Let k = 769/3 + w. Which is the nearest to -5? (a) 1/3 (b) -0.3 (c) k
b
Let f be 12/(-9) + -31 + 11900/375. Let p = 0.31 + -0.3. Which is the closest to 0? (a) 0.3 (b) f (c) p
c
Let r = 7606 + -7653. What is the nearest to -0.1 in 10/9, r, 3, -0.2?
-0.2
Let x be -2 - (0/3)/((-174)/(-29)). What is the closest to -0.1 in -1/8, x, -100, 0?
-1/8
Let o = 29/33 + -211/165. What is the nearest to 1 in o, -5, 0.15, -2.4?
0.15
Let y = -12453 - -12454. Let s = 15 - 11. Let z = 1 - s. Which is the closest to -0.1? (a) y (b) z (c) 2/3
c
Let s = 0.24574 + -2.24574. Let u be 12/16 - 2/8. Which is the nearest to u? (a) s (b) -0.5 (c) 0.3 (d) 20
c
Let j = -352/9 + 116/3. Let p be (0/((-44)/4))/3. Which is the nearest to 3/26? (a) p (b) 1/4 (c) j
a
Let h = 1 - 1. Let u = -377649/10 - -37765. Which is the nearest to h? (a) -4 (b) u (c) -0.4
b
Let f = 1650 - 1651. Let v = -311 + 3418/11. Which is the closest to f? (a) 1/4 (b) -2 (c) v
c
Let p = 338 - 339. Let z = -93 - -95. Which is the closest to p? (a) z (b) 8/7 (c) -9
b
Suppose 6*h - 13 = -5*a + 5, -a = 0. What is the closest to h in -2, 1.3, 2/15, -2/7?
1.3
Let s be (-90)/(-133) + (-8)/76. Suppose -2*a - 3*a + t = 93, 3*a = t - 55. Let h be (-33)/44 - a/20. What is the closest to -2 in s, h, 3?
h
Let r be -1 - (-6 + 0)/6. Let x be (-29)/(-58)*((-2)/4 - r). Which is the closest to -2/7? (a) 48 (b) x (c) -0.5
b
Let z = -18720.3 + 18720. Let q = 5.8 + -0.8. Which is the closest to -1? (a) z (b) q (c) 0 (d) 3
a
Let q = 6079/7728 + -1/1104. Let y = -9/7 + q. Let k be 1/(-5)*(12 + (-119)/17). Which is the closest to y? (a) 1 (b) k (c) -5
b
Suppose -5*z + 5*j = 15, 5*j - j = 20. Let f = 338 + -335. Which is the nearest to z? (a) f (b) -19 (c) -5
a
Let j be 164547/23547*(0 - -1) + -7. Which is the nearest to 0.1? (a) j (b) 0.1 (c) -0.3
b
Let i be (-8)/90 - (665/(-75) - (-54)/6). Which is the nearest to i? (a) 3 (b) -7/206 (c) 0
b
Let m(x) be the first derivative of -x**3 - 9*x**2/2 + 2*x + 65. Let g be m(-3). Which is the closest to g? (a) 5/2 (b) -0.07 (c) 1
a
Let l = 304/115 + -24/23. Let w be ((-1)/1)/((-118)/590). What is the nearest to l in -5/2, 0.1, w?
0.1
Let s = 4 - 2. Let v = 1 - s. Let a(f) = f**2 - 197*f - 3179. Let h be a(-15). What is the nearest to h in 2/5, 1, v?
1
Let g = 82.8 - 84.8. Which is the nearest to 1/3? (a) 3 (b) g (c) -5/7 (d) 1
d
Let p be ((-1)/3)/(20/12 + -2). Let o be -1 - -1 - 11/(-11 + 66). Which is the closest to 0.1? (a) -0.43 (b) o (c) p (d) -2/7
b
Let z = -403451/36 + 11207. What is the closest to 1 in z, -6/7, -0.1?
z
Suppose -4 = q - 0*q - x, -11 = 5*q + 4*x. Let o = 41 - 42.65. Let j = o + -0.35. Which is the closest to -4? (a) 4 (b) q (c) j
b
Let w = 1639 - 1638. What is the nearest to w in -5, -2, -32/3, -4?
-2
Let k = -4/3 - -1. Let n be (-5)/15*453/1. Let z = 452/3 + n. Which is the nearest to k? (a) -0.2 (b) z (c) 7
b
Let q = 48 + -15. Suppose 2*y + 9*y = -q. Let v = -1/20 - 11/180. What is the closest to -1/3 in v, y, -2?
v
Let h be (-32 - (-35 + 1))/(-2). Let l = 0.9 - 1. Suppose -1 = -2*m - 13. What is the closest to h in l, 2/3, m?
l
Let z = 3534 + -3530. Which is the closest to 1? (a) z (b) -0.01 (c) -0.1 (d) 0.4
d
Let d be 1/(10/(-16)) + 0. Let u be (-1 - 46/(-10)) + -3*1. Let w = -1.4 - -1.4. What is the closest to w in u, 0, d?
0
Let o = -142 - -142.38. Let y = o - -0.62. Which is the closest to y? (a) -0.4 (b) -3 (c) -0.2
c
Let d = -18/211 - 34195/2321. Let i = d + 15. Let g = -7/37 + -173/259. Which is the closest to 2/5? (a) 0 (b) g (c) i
c
Let z be (-9)/54 - 17/(-17). Let v be (18/(-12) + 1)/(1/(-6)). What is the closest to 0.11 in 0, 2/9, z, v?
0
Let v = 0.005 - 0.055. Let m = 1.27 + v. Let j = m - 2.22. What is the nearest to 0.1 in j, 0.4, -16?
0.4
Let u be (-36)/(-19872)*46 + (-10)/56. What is the nearest to 237 in -3, 1, u, 18/7?
18/7
Let l = 10.9 - 10.5. Let q = 39 + -59. Let t = -39/2 - q. What is the nearest to t in 3, l, 0?
l
Let f = 42 + -37. Let s = 198 + -196. What is the nearest to f in 2/5, -0.1, s?
s
Let d be ((-50)/3)/((-429)/54 - -8). Let s be (24/d)/((-8)/(-10)). Which is the closest to 1? (a) 1/4 (b) s (c) 1/5
a
Let d = -1.94 + -0.06. Let f = 1 + d. Let o be (60400/(-180))/(-20) - 17. Which is the nearest to f? (a) 1 (b) o (c) 2/5
b
Let k = -10.17 - -10.2. Let v = 0.02 - -0.48. Let c = -22 - -24. What is the nearest to c in -0.2, v, k?
v
Let n = -0.24 + -0.26. Let t = -4937.17 - -4937. Which is the closest to 0.1? (a) n (b) -0.4 (c) t
c
Suppose 12 = 3*g + 3*m, -6*m = 3*g - 5*m - 8. Suppose 4 = -l - g. Which is the closest to 0.1? (a) -4 (b) l (c) 0.5
c
Suppose -12*m + 79 = -5. Let u be (-1)/m*551/152. Let z = -3/8 - u. Which is the nearest to 17? (a) 0.5 (b) -2/3 (c) z
a
Let b = -22 + 25. Let y = -249.9 + 231. Let g = -18.9 - y. What is the nearest to 1 in b, 4, g?
g
Let j = 3555 - 3559. Which is the closest to -1? (a) j (b) 1 (c) 6/7 (d) 4
c
Suppose 3*i - 8 = -v, 5*i - 9 = 2*v + 8. Let c = 4204 + -67265/16. What is the closest to -2/11 in 0.2, v, c?
c
Let u be (-45)/(-60) - (1 + 21/(-4)). Let q = -46.86 - -47. Suppose -3 = -4*o - 4*k + 13, -2*o + 4*k = 16. Which is the closest to o? (a) 0.4 (b) q (c) u
b
Let k = -470 - -469.94. What is the nearest to -0.1 in -1, -0.4, 5, k?
k
Let h be 108520/(-76000) - (1 - 7/4). Let q = -13/25 - h. Let c = -28/57 + q. What is the nearest to -1/3 in c, 4, 0.1?
c
Let o(w) = -941*w - 5633. Let y be o(-6). Let p = -0.2 - 2.8. Which is the nearest to -2? (a) p (b) -0.1 (c) y
a
Let v = -74.006 + 0.006. Let j = 73.695 + v. Let f = j - 0.095. Which is the nearest to 1? (a) f (b) -5 (c) 0
c
Let s = -157 - -157.968. Let z = 0.99 - s. Let k = z + 0.088. Which is the nearest to k? (a) 5/4 (b) 0 (c) 0.5
b
Suppose -4*w = -105*z + 109*z - 32, w = z - 10. What is the closest to w in -49, -0.5, -3/8?
-0.5
Let m = -102.77 - -102.85. Which is the closest to m? (a) -2.4 (b) 0 (c) 0.1 (d) -1/7
c
Let f = 86.07 + -86. Let n = f + 28.93. Let k = -29.1 + n. Which is the closest to 1? (a) 1/3 (b
|
{
"pile_set_name": "DM Mathematics"
}
|
vided by 9.
6
Let o(g) = -g**3 + 5*g**2 + g - 1. Let m be o(5). Suppose -5*p = c - 235, 0 = 5*p - m*c - c - 235. Calculate the remainder when p is divided by 12.
11
Suppose 14 = 4*q - 3*q. Let c be 12/(-1)*(-2 + 0). Let v = c - -3. What is the remainder when v is divided by q?
13
Let l(k) = -k**3 - 3*k**2 + 4*k + 10. What is the remainder when 57 is divided by l(-4)?
7
Let x(i) = i**2 - 6*i - 16. Let r = 23 + -10. Calculate the remainder when x(10) is divided by r.
11
Suppose 5*q - 2*n = 23, 34 = 5*q + 3*n + 6. Calculate the remainder when q is divided by 3.
2
Let y = -37 + 9. Let j = 14 - y. Calculate the remainder when j is divided by 22.
20
Suppose h = 3*o - 14 - 59, -47 = -2*o - h. What is the remainder when o is divided by (-13)/(2/((-2)/1))?
11
Suppose n - 24 = s, -5*n + 4*s - 73 + 189 = 0. Calculate the remainder when 58 is divided by n.
18
Let c(q) = q**3 + 1. Let a = 8 - -2. Calculate the remainder when c(3) is divided by a.
8
Let l(u) = 3*u + 4. Let p(o) = -2*o + 3*o + 4*o + 9. Let b(t) = -7*l(t) + 4*p(t). Calculate the remainder when 3 is divided by b(7).
0
Suppose -117 = -27*h + 18*h. Suppose -3*b + b + 100 = 0. Calculate the remainder when b is divided by h.
11
Let n = -34 - -73. Calculate the remainder when n is divided by 6.
3
Let g = -35 + 60. Calculate the remainder when g is divided by 7.
4
Suppose d + 2 = 0, -4*g - 4*d = -29 - 51. Suppose l + 32 = 3*n, -34 = 3*l + n + g. Calculate the remainder when (-328)/l + (-2)/5 is divided by 9.
7
Suppose 3*s + 3*w = 2*s + 34, -5*s = 5*w - 140. Suppose -5*b + 5*f = -50 - 335, b = 2*f + 82. Calculate the remainder when b is divided by s.
22
Let l(n) = -n**2 + 15. Calculate the remainder when 39 is divided by l(0).
9
Let o(y) = -y**2 + 7*y + 1. Calculate the remainder when 30 is divided by o(5).
8
Suppose -5*h = 3*v - 262 - 30, -h + 61 = -2*v. Let z = 22 - -23. Let y = -25 + z. Calculate the remainder when h is divided by y.
19
Let p(q) = 12*q**2. Suppose -h = 2*i + 2*i + 9, -2*h = -5*i + 5. Suppose -d = -43 + 8. What is the remainder when d is divided by p(i)?
11
Let h(v) be the second derivative of -v**3/6 - v**2 - v. Calculate the remainder when (-4)/(-6) - 13/(-3) is divided by h(-5).
2
Calculate the remainder when 47 is divided by -3 + 13 + 0 + 3 + -3.
7
Let o(c) = -4*c**2 - 8 - 5*c - 3*c**2 + 4*c. Let z be o(6). What is the remainder when 45 is divided by 4/(-6) + z/(-21)?
9
Let t be 2/(-9) - 227/(-9). Let s = -9 + t. Calculate the remainder when 2/5 + s/10 is divided by 2.
0
Suppose -2*t = t + 6, -3*a + 12 = -3*t. What is the remainder when 23 is divided by a*(1 + 3 + 2)?
11
Suppose -2*v + 3*v + 7 = 0. Let u(k) = 5 + 5*k**2 + 4*k**2 + 11*k + k**3 + 0*k**2. Calculate the remainder when u(v) is divided by 9.
8
Suppose 0 = 4*t - 4 - 8. Calculate the remainder when 5 is divided by t.
2
Suppose -4*m - 2*q + 59 = 3*q, -5*m - 3*q = -77. Suppose -2*r + 12 + 48 = 0. Calculate the remainder when r is divided by m.
14
Let q(m) = -m - 10. Let p be q(-7). Let i = 1 + p. What is the remainder when 28 is divided by ((-10)/8)/(i/24)?
13
Let d(p) = -p**3 + 3*p**2 + p + 3. Let i = -2 - -4. What is the remainder when 1*19 - 4/i is divided by d(3)?
5
Let p = 368 + -252. Let u = 120 + -187. Let y = p + u. What is the remainder when y is divided by 17?
15
Suppose -9 = -u - 4*w, 3*w - 18 = -2*u + 5*w. Calculate the remainder when u is divided by 5.
4
Let h(m) = m**3 + 5. What is the remainder when h(4) is divided by 10?
9
Suppose 0 = 3*b - p + 4, -8 = 3*b - 5*p - 0*p. What is the remainder when 14 - b - 3/1 is divided by 7?
5
Let x(a) = -a**3 + 8*a**2 + 8*a + 2. Let v be x(9). Let h(s) = -s**3 - 8*s**2 - 8*s - 3. What is the remainder when h(v) is divided by 2?
0
Let k be (36/27)/((-2)/(-3)). Suppose -k*z + 75 = z + 5*p, 3*z - 3*p - 75 = 0. What is the remainder when 97 is divided by z?
22
Let j = -24 + 28. Suppose 178 - 10 = j*q. Suppose 0 = 3*l + l - 12, t - 3*l - 6 = 0. Calculate the remainder when q is divided by t.
12
Let u be (-12)/10 + (-5)/(-25). Let z(w) = -12*w**3 - w. Let n(a) = 24*a**2. Calculate the remainder when n(1) is divided by z(u).
11
Let z = 19 + 77. What is the remainder when z is divided by 14?
12
Suppose -4*g - 402 = -7*g. Suppose 4*p - 178 = 3*z + 2*z, -3*p + g = -4*z. Calculate the remainder when p is divided by 15.
12
Let z = -5 + 12. Suppose z = 4*p - 13. What is the remainder when 19 is divided by p?
4
Let g(s) = s**2 + 7*s + 3. Let v(c) = -c**2 - 8*c - 3. Let z(n) = 6*g(n) + 5*v(n). Let j = 0 - -7. What is the remainder when z(-5) is divided by j?
4
Let f = 178 + -127. Suppose -4*s + j = 2*j - f, 5*s = -5*j + 60. Calculate the remainder when 62 is divided by s.
10
What is the remainder when 25 is divided by 8/2 - (-2 - 1)?
4
Suppose 0 = t + 3 - 2. Let n be (-4)/(-14) + 158/(-14). Calculate the remainder when 26 is divided by -5 - -4 - (n - t).
8
Suppose -4*z = -5*i + 29, -4*z = -5*z - i + 4. Let r(o) = -o**3 + 6*o**2 + 5*o + 8. What is the remainder when r(6) is divided by -26*((-2)/(-4) + z)?
12
Let y(h) = -3*h + 6. Calculate the remainder when y(-5) is divided by 11.
10
Let r = 73 - 18. Suppose -5*x = r - 160. Calculate the remainder when x is divided by 11.
10
Suppose -2*h - 1 + 9 = 0. Let z = 109 + -77. Calculate the remainder when z is divided by (18/h + 1)*2.
10
Let u(l) = -4*l**2 + l. Let z be u(1). What is the remainder when 56 is divided by (-58)/(-3) + 1/z?
18
Let l(s) = 40*s**3 - s**2 - s + 1. Calculate the remainder when l(1) is divided by 21.
18
Suppose 0 = 4*g - 5*m - 188, 2*g + 2*m = -0*g + 76. What is the remainder when 124 is divided by g?
40
Let m(o) = -o**2 + 2. Calculate the remainder when (18*8/12)/2 is divided by m(0).
0
Suppose 4*w = 12, 6*z - 5*z = 4*w + 35. What is the remainder when z is divided by 25?
22
Suppose 15 = 4*v - 3*n, -5*v + 7*n + 20 = 2*n. Suppose 0 = v*i - 5 - 64. What is the remainder when i is divided by 12?
11
What is the remainder when 712/20*(-10)/(-4) is divided by 31?
27
Suppose -2*q = -5*l - 69, -3*l = q - 4*l - 27. Calculate the remainder when q is divided by (6/(-5))/((-2)/20).
10
Suppose 31 = -5*s + 151. Let j = -11 + s. Calculate the remainder when j is divided by 7.
6
Suppose -3*y = -0*y + 3. Let i be (-2 - -3)*4/y. Let n = 9 + i. Calculate the remainder when 8 is divided by n.
3
Calculate the remainder when 148 is divided by 49/196 - 310/(-8).
31
Suppose 20 = 4*h - 0*h. Suppose 3*r - 8 = -h*c + 47, c + 5*r = 11. Calculate the remainder when c is divided by 6.
5
Suppose 5*l + 5*z = 30, -2*l - 3*z + 26 = 3*l. Suppose l*i - 49 = -3*q, -i = 5*q - 2 - 6. Suppose 0*u = u - 25. What is the remainder when u is divided by i?
12
Suppose 4*r - 100 - 148 = 0. Calculate the remainder when r is divided by 16.
14
Suppose -r - 3 = -3*g, -3*g - 1 = -4*g + 4*r. What is the remainder when 4 is divided by g?
0
Let h(l) = -l**3 + 6*l**2 + 3*l - 4. Suppose -g = -3*g + k + 235, 5*g = 5*k + 600. Suppose -3*s + g + 8 = 0. Calculate the remainder when s is divided by h(6).
13
Suppose -4*l + 181 = 45. Suppose -n = 2 - l. What is the remainder when n is divided by 11?
10
Let k(v) = -3*v - 10. What is the remainder when 38 is divided by k(-5)?
3
What is the remainder when 94 - (1 - (4 - 0)) is divided by 11?
9
Suppose 4*n - 33 = 3. What is the remainder when n is divided by 2?
1
Suppose -5*y + 8 = -2. Let j = -35 + 53. Suppose 0 = f + y*f - j. What is the remainder when f is divided by 2?
0
Suppose h - 2*h - 5*t + 16 = 0, 0 = h - t + 8. Let k = h + 8. Suppose x = k*x - 12. Calculate the remainder when 7 is divided by x.
3
Let v = -65 + 215. Calculate the remainder when v is divided by 17.
14
What is the remainder when 7256/72 + 2/9 is divided by 26?
23
Suppose 0 = 2*i - 0*i - 4. Suppose 3*f + 4*b + 24 = 0, -i*b = -f + b - 21. What is the remainder when f*16/(-6) + -1 is divided by 11?
9
Suppose 0 = j - 7*j + 84. What is the remainder when 38 is divided by j?
10
Suppose -2*b - 8 = 0, -4*b + 9*b + 132 = 4*w. Suppose x - 5*i = -3*i + 61, 5*x + 4*i = 249. Calculate the remainder when x is divided by w.
25
Let j = 7 - 2. Suppose -j*g + 0*g = 0. Calculate the remainder when 10 - (g/(-1) + 1) is divided by 5.
4
Suppose 0 = -4*k - 5*i - 3, 0 = -3*k - 0*k + 3*i + 18. Calculate the remainder when 8 is divided by k.
2
Suppose -h - 5*b + 48 = 8, -5*b = -25.
|
{
"pile_set_name": "DM Mathematics"
}
|
?
False
Suppose -5*v + 3079610 = 5*m, 48*v - 3079586 = 43*v + 3*m. Is v prime?
True
Suppose 5*p = 3*f + 13, -7*f - 9 = -4*p - 6*f. Suppose -4*s + 20 = 0, 3*l = -p*l + 5*s + 19140. Is l a prime number?
True
Let y = 73944 - 36000. Let i = 82555 - y. Is i a prime number?
False
Let f be 348/(-24) + (-6)/4. Let t = 36 + f. Is 1559*((-5)/(-7) - t/(-70)) prime?
True
Let f(h) = 2*h**3 - 4*h**2 + h + 4. Let b be f(3). Let w = b + -19. Let u(p) = 11*p**2 - 7. Is u(w) prime?
True
Let s = 234723 + -141856. Is s composite?
False
Suppose 6121 = -5*d - 4879. Let f = -1217 - d. Let a = f - 588. Is a a composite number?
True
Suppose -8263 - 8477 = -4*s. Let p = -2454 + s. Is p composite?
True
Let g be 5*(-4 - (-26)/5). Suppose -g*k = -22*k + 3440. Is k a prime number?
False
Let g(d) = 38 + 0*d**2 + 6*d**2 - 37 + 2*d. Let n = -61 + 66. Is g(n) composite?
True
Let y(k) = 83203*k**2 - 3*k - 3. Is y(-1) prime?
True
Let l(h) = 2*h**3 - 4*h**2 + 5*h - 3. Let w(t) = t**3 - 3*t**2 + 4*t - 4. Let j(o) = -5*l(o) + 6*w(o). Is j(-10) a prime number?
True
Is (-141)/(-1833) + 3800543/(-13)*-2 prime?
True
Let t = 70 + -67. Suppose -2*o + 8339 = -t*p, p + 2802 = o - 1370. Is o composite?
False
Let p(q) = -155*q**3 + 4*q**2 + 6*q + 4. Let b be p(-2). Let z = b - -3305. Is z composite?
True
Suppose 337 = -12*m + 5053. Let p = 595 - m. Is p a composite number?
True
Is (8/22)/((-548)/(-10087858)) a composite number?
True
Let i(u) = 923*u - 31. Let w be i(5). Suppose -10*p + w = -6*p. Suppose -4*j + 4222 = p. Is j a prime number?
True
Suppose 45*n - 42*n = 15, 5*y + 3*n = 3596900. Is y prime?
True
Suppose 4*v = -150335 + 988971. Suppose 9*d + 58828 = v. Is d composite?
False
Suppose -6 - 14 = -4*b, 5*k = -b + 830. Suppose k = -4*t - 87. Let s = t + 2998. Is s a prime number?
False
Let c be 657*(-44)/(-6) + -4. Let z = 6791 - c. Suppose -x + z = -1222. Is x a prime number?
False
Let a(m) = 133495*m - 2988. Is a(3) a composite number?
True
Let d be ((-125)/(-45)*6)/((-1)/(-3)). Suppose 0 = d*b - 56*b + 4302. Is b a composite number?
True
Let d be ((-3730)/(-15))/(-4 + (-316)/(-78)). Suppose -4*o + 14635 + d = 0. Is o a prime number?
True
Let g(j) = -j**2 + 12*j + 12. Let d be g(14). Let y = -28 + d. Is (-8)/y - 3450/(-22) a composite number?
False
Let c(p) = 9*p - 8*p**3 + 4 - 2*p + 2*p**2 + 5*p**2. Let h be c(-5). Suppose 4*k - 2*f - h = 3*k, -3*k = -f - 3457. Is k prime?
False
Suppose 231*v - 235*v = 4*u - 321652, -5*u - 402005 = -5*v. Is v prime?
True
Let d(v) = -1362*v**2 - v - 1. Let i be d(1). Let o be (-4 + 622)/(1 - i/(-1356)). Is (-4)/(-14) - o/63 composite?
False
Is (-19392 - -106)/(10/(-235)) a composite number?
True
Is 76/(-304) + (-2168031)/(-12) a composite number?
True
Suppose -3*a + 1 = -4*q, -2*a - 2 = -5*q + q. Suppose a*v - 21081 = -3228. Is v prime?
False
Suppose 4293 + 8343 = 4*t. Let p = t + -1621. Is p a prime number?
False
Let b(h) = 3793*h**2 - 8*h + 1. Is b(6) a prime number?
True
Let l(o) = 350*o + 5. Let c be ((-4)/6 - 0)*3 - -14. Suppose -8*a - 4 = -c*a. Is l(a) a composite number?
True
Suppose -2*p = 10, 0 = -5*w - 4*p - p + 1685. Let k = 74 + w. Let d = k + 485. Is d prime?
False
Suppose -1634*p = -f - 1633*p + 365509, -f + 365505 = p. Is f a prime number?
True
Suppose 0 = 21*v - 7*v + 280. Let b be 4/14 + (-1380)/(-70). Is (-8168)/v + 12/b prime?
True
Suppose -2*v - 5*w + 10*w + 10 = 0, 2 = -3*v - w. Suppose 1032 = p - v*p + 3*z, p + 4*z - 1031 = 0. Suppose 0 = -19*j + 4*j + p. Is j prime?
False
Let d be 4/10*(-40)/8 - -6175. Let c = d + -3388. Is c a composite number?
True
Let d(m) = m**3 - 20*m**2 + 28*m + 5. Let n be d(20). Suppose -8529 = -4*g - n. Is g composite?
True
Let t(s) = 139*s + 43. Let x be t(-3). Let y = 667 + x. Is y a prime number?
True
Let q = 3147 - 3143. Let m(h) = 2*h**2 - 8*h - 2. Let a be m(6). Is ((-254)/q)/(a/(-132)) prime?
False
Let k be 11 + -7 + 3 + -9. Let o be (-12)/10*5/k. Suppose -5*c = y - 14214, c + o*c = -2*y + 11370. Is c a composite number?
False
Suppose y = 3*v - 15, -17*y - 26 = -5*v - 15*y. Suppose -17*j - v*j = -10353. Is j composite?
True
Suppose 5*f - 1026 = -5*q + 5604, 2*q + 1329 = f. Is f composite?
False
Suppose 62*q + 0*q - 1444414 = 0. Is q composite?
False
Suppose -7*c = -d - 8*c + 19043, 3*c - 76173 = -4*d. Let u = d - 11051. Is u a composite number?
False
Let v be ((-18)/(-12))/((-3)/(-3620)). Is (-4)/(v/907 + -2) a composite number?
False
Let s(a) = -4*a**3 - 236*a**2 - 65*a + 56. Is s(-59) a composite number?
True
Let o = 332 + -289. Let t = -1112 - -2286. Suppose t = o*a - 41*a. Is a a prime number?
True
Let k = 51639 - 5590. Is k a composite number?
False
Let k = 21392 - 9551. Suppose k = 2*d + 1327. Is d a composite number?
True
Suppose 3*s + 69*x - 70*x - 36185 = 0, 4*s + 5*x = 48272. Is s a composite number?
True
Suppose 3*q = 3*a - 15, -11*a + 5 = -10*a - 4*q. Suppose 0 = d - 0*i - 3*i - 4034, -20265 = -a*d - 4*i. Is d a composite number?
False
Let u = 64 - 51. Let h = -9 + u. Suppose -2*i = -h*b + 1786, -b + 0*b + 451 = 4*i. Is b composite?
True
Let o be (7*(-7)/(-21))/(2/66). Suppose o*q = 64*q + 2639. Is q a composite number?
True
Suppose -5*v + 3*p = -52, 4*p - 16 + 1 = -v. Suppose 0 = -2*z + 10, -2*o - 2*z + v = -9. Suppose -3*g - 1042 = -b - b, -5*b + o*g = -2595. Is b a prime number?
False
Let m(j) = -5*j - 4 + 1 + 5. Let w be m(-2). Let c(i) = i**3 - 10*i**2 - 21*i - 5. Is c(w) a prime number?
True
Let r(t) = 358*t**3 - 2*t - 2. Let g be r(-1). Let u be 183*(-2 + 2/(-2)). Let s = g - u. Is s a prime number?
True
Let r(f) = 2*f**3 - f**2 - 3*f + 5. Let b(a) = -a**2 - 11*a - 3. Let p be b(-11). Let h be r(p). Let s = 198 + h. Is s prime?
True
Let v(g) = -g**2 + 5. Let i be v(0). Suppose -2*w + 8470 = 5*u - 3*w, u = i*w + 1718. Is u composite?
False
Let u(p) = 9*p - 34. Let h be u(4). Let o(k) = k**2 + 2*k - 4. Let t be o(h). Let s(y) = 492*y - 34. Is s(t) a composite number?
True
Suppose -2*s = 3*u + 19, 5*s + 30 = 2*u + 11. Let t(j) = j**3 + 7*j**2 + j + 6. Is t(u) a composite number?
True
Let u(n) = 3*n**2 + n - 6. Let g = -7 + 10. Let r be u(g). Let a = r + 53. Is a a composite number?
True
Suppose -k + 5*f + 5 = 0, 0 = 2*k - 2*f - 19 + 1. Suppose z - 5*h + k = 0, 4*z - 5*h = -0 + 5. Suppose -4*u = -r - 2352, z*r = 3 - 23. Is u a composite number?
False
Is (109776 - -11) + 23 + -11 a prime number?
False
Let p = -60 - 80. Let a = 903 - p. Is a a prime number?
False
Suppose -3*j - 22008 = -z, -4*z - 2*j - 23536 = -111498. Is z prime?
False
Let u be 2672/(-8)*(1 - 26/(-4)). Let o = -1665 - u. Let a = 1661 - o. Is a prime?
True
Suppose 2*q = -3*f - 0*q + 3862, 0 = q - 2. Suppose 0 = -8*y - 14 + f. Is y a prime number?
False
Let m be (-16)/(-5) - 1/5. Let u(n) = -n**3 + 8*n**2 + 4*n + 1. Let z be u(-6). Suppose 4*k = b + z, 4*k + 8*b - m*b = 451. Is k a composite number?
True
Suppose 0*x - 10*x - x + 492019 = 0. Is x prime?
True
Suppose 4*o + 107*h - 109*h - 364308 = 0, 4*o - 5*h - 364296 = 0. Is o a composite number?
False
Let d(z) = 7366*z**2 + 2*z - 3. Let t be d(1). Let s = t + -3254. Is s composite?
False
Suppose v = 2*v + 2*u - 5965, -v - 3*u = -5962. Suppose v = n - x, n = -0*x + 5*x + 5971. Is n prime?
False
Let n(p) = 379*p**2 - 4*p - 34. Let g(t) = 380*t**2 - 2*t - 35. Let h(u) = -5*g(u) + 6*n(u). Is h(-5) composite?
False
Suppose -9*p + 0*p = 5229. Let x = -202 - p. Is x composite?
False
Let z(y) be the second derivative of -y**7/2520 - 11*y**6/720 - y**5/30 + 7*y**4/6 + 5*y. Let a(q) be the third derivative of z(q). Is a(-5) a composite number?
True
Let b = 522018 - 268969. Is b prime?
True
Let h(m) = -m - 17. Let o be h(-20). Suppose 0*q - 9862 = -q + o*t, -q - 4*t = -9883. Is q prime?
True
Let f be ((-5262)/(-1))/(4*(-3)/12). Let m = -2979 - f. Suppose 9*l = 6*l + m. Is l a composite number?
False
Let p(i) = -12*i**3 - 2*i**2 + 59*i - 39. Is p(-19) composite?
True
Let p(t) = t**3 + 9*t**2 - 8. Let r be p(-9). Let k be 1/(-1)*(163 + r/2). Let o = 466 + k. Is o prime?
True
Let r(s) = 117*s**2 + 3*s + 124. Suppose 4*v - y + 41 = 0, 3*v - 6*y + 12 = -9*y. Is r(v) a composite number?
True
Let y be 16400/(4 - -1) + -4. Let k = -2189 + y. Is k a composite number?
False
Let h(r) = r**3 + 4*r**2 - 2*r - 3. Let z be (-36)/18 - (0 + (2 - 0)). Let f be h(z). Suppose -4*k + 17709 =
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.03. What is the closest to 1 in w, m, 2/7?
2/7
Let u(g) = 3*g - 14. Let f(k) = 3*k - 14. Let h(o) = -5*f(o) + 6*u(o). Let n be h(5). Which is the nearest to 1? (a) n (b) -3/7 (c) 1/8
a
Let r = -108.3 - -108.4. What is the closest to 2/3 in 2, r, -0.1?
r
Let b = -10 + 4. Let l = 5.92 + b. Let y = 0.22 - l. What is the nearest to -1 in 1, y, 1/7?
1/7
Let p = -485 - -485.1. Suppose 4*k - 2*h = 6, -6*h + 25 = -h. Which is the closest to p? (a) k (b) 2/7 (c) -0.5
b
Let t = 11 - 11.1. Let r = -0.1 + 5.1. Which is the closest to t? (a) -2 (b) 4 (c) r
a
Let l(j) = -4*j**2 - 2. Let o be l(2). Let r be (3/(-24))/((-3)/o). Let t(w) = 3*w**2 - w. Let d be t(-1). Which is the closest to 0? (a) -5 (b) d (c) r
c
Let t = 0.0674 + -0.0674. Which is the closest to t? (a) 2 (b) -8/5 (c) -1 (d) 0.3
d
Let c = 0.16 + -0.2. Let n = 59 + -121. Let o = -62 - n. What is the nearest to o in 0.4, c, 1?
c
Suppose -6*s - 241 = -259. What is the nearest to -0.1 in 1/7, s, -0.3, 0.2?
-0.3
Let p = -7 - -7. Let s be -4*196/12 - 1. Let j = -67 - s. What is the nearest to 0 in 5, p, j?
p
Let a = 0.0255 + -0.2255. What is the closest to -17 in a, -0.5, -3, -7?
-7
Let k be -3*(13/(-6) + 2). Let t = 780 + -776. What is the closest to 0 in t, -5, k?
k
Let l(b) be the second derivative of -b**3/3 - 11*b**2 + b. Let o be l(-13). Let s be (6/o)/(7/14). What is the closest to s in 1/5, -2/23, 1/2?
1/2
Suppose 43 + 20 = 9*z. Let h be (-21)/(-1)*(z - 6). Which is the closest to h? (a) -0.2 (b) -0.3 (c) -3
a
Let z = -1.163 - 15.837. What is the closest to 10 in z, 4, -3?
4
Let x = 7.56 - 6.56. What is the nearest to x in 0.1, -0.01, -3, 3?
0.1
Suppose 5*d + 47 + 53 = 0. Let m be ((-6)/14)/((-30)/d). Let f be (-2)/(-6) + 2/(-6). What is the nearest to m in f, -1/3, -2?
-1/3
Let j(c) = c**2 + 11*c + 21. Let d be j(-9). Let v = 97 - 95. What is the closest to v in d, 4, 1/4?
d
Suppose 4*j + 437 = 81. Let b = 87 + j. What is the nearest to -0.1 in b, 0.5, -5?
0.5
Let d = 3 - 2.9. Let u = 1.54 + -1.84. Which is the nearest to -1? (a) -3 (b) u (c) d
b
Let k = -25/42 + 2/21. Let b = -469 + 467. What is the nearest to 1 in b, 0.2, k?
0.2
Let j = 101 - 100.57. Let u = j - 17.43. Let i = u + 16. Which is the closest to i? (a) 0.1 (b) -3 (c) -2
c
Let q = -190.9 - -191. Which is the closest to 2/5? (a) 4 (b) 2/7 (c) q
b
Let p = 0.531 + -0.031. Let h be 5 + -1 - (-88)/(-24). Which is the nearest to 1? (a) h (b) -2/11 (c) p
c
Let l = 93/110 + -1/22. What is the nearest to -4 in l, -0.6, -0.5?
-0.6
Suppose -15*m - 12*m = 0. Which is the nearest to -1? (a) m (b) -4 (c) 1/9
a
Let o = -178/63 + 28/9. Suppose z = 3*z - 8. Let u be (10/(-4))/((-2)/z). Which is the closest to 1? (a) o (b) 3 (c) u
a
Let c = 12/25 + 1/50. Let u = -0.4 - -0.4. Let w = 0.2 - u. What is the closest to -1 in c, w, -1/6?
-1/6
Let o be ((-4)/(-130))/(25/(-125)). Which is the closest to 0.3? (a) 1 (b) 0.03 (c) o
b
Let s = 411 - 411.4. Let z = -18/7 + 15/7. Which is the nearest to -0.2? (a) s (b) z (c) 3
a
Let g = 174.9 + -175. Which is the nearest to g? (a) -4 (b) -9 (c) -3 (d) -0.3
d
Let i = 7 + -22/3. Let m = 3.99 + -4. Which is the nearest to m? (a) -2 (b) 3 (c) i
c
Let d = 0.0361 + 0.3639. Let u(b) = b + 1. Let g be u(4). What is the closest to -1 in g, 2, d?
d
Let k = 1.3 - 2.3. Let d(t) = t + 10. Let h(v) = -v - 10. Let b(r) = 5*d(r) + 4*h(r). Let n be b(-7). What is the closest to 2 in n, 1/3, k?
n
Let y be -17 + 16 - (2/(-1) - -2). Let j = -6 - -4. What is the closest to 1 in j, y, 0.2?
0.2
Let d = 1664.2 + -1664. Let k = -4.88 - 0.12. Which is the nearest to 1? (a) -3/4 (b) d (c) k
b
Let u(k) = -10*k + 116. Let i be u(12). Which is the closest to 0.1? (a) -0.36 (b) i (c) -0.1
c
Let n(p) = p + 13. Let d be n(-9). Suppose 3*t - d - 5 = 0. Which is the closest to 0? (a) -0.1 (b) 1/3 (c) t
a
Let p = -127 + 127.1. What is the nearest to 1/2 in p, -1/5, -11?
p
Suppose 4*v - 9 = -41. Let r be (6/9)/(v/(-12)). Let l = 0.33 + 0.07. Which is the closest to r? (a) 2 (b) -4 (c) l
c
Suppose 2*v + 4 + 4 = -5*z, -2*z + 3*v - 7 = 0. Suppose 0 = 4*r - 4*d - 24, r - 24*d - 16 = -21*d. What is the nearest to r in z, 0.13, 0?
0.13
Let p = -2.32 + 8.32. What is the closest to -0.5 in 2/5, 0, p?
0
Let y be 11/(-2) - (9 - 21/2). Let m = 0.3 + 0.1. What is the closest to -2 in y, m, 2?
y
Let d = -302/5 + 63. What is the nearest to -1 in d, 1/5, -2/13?
-2/13
Let k = 288 - 1733/6. Let i be (-3)/(-6) - 42/(-12). Suppose 3*l = 5*w + 2, -2*l + 4 + 2 = -w. Which is the nearest to 1/3? (a) w (b) i (c) k
c
Suppose -270 = 2*i - h, 4*h + 394 = -5*i + 2*i. Let l = -133 - i. What is the nearest to -0.4 in -2, -1/5, l?
-1/5
Let q be ((-17)/1 - -12) + (-18)/(-4). What is the nearest to q in -13, -0.4, 0.2, -3?
-0.4
Let g = 19 + -19. Let q be 3/12 + (-5)/12. Let j = -12 + 13. What is the nearest to j in -1/2, g, q?
g
Suppose -q - 2*v - 4 = v, 0 = -4*v - 12. Suppose 185 = 5*h - 5*x - 280, -3*x = h - 77. Suppose 5*m + h = 19. Which is the nearest to 0? (a) 0.5 (b) q (c) m
a
Let k be -30*((-21)/(-9))/(-7) - 5. What is the closest to 1/5 in 3/7, k, 2?
3/7
Let y = -986 + 986.2. What is the closest to -1/3 in y, -4, 0, -97?
0
Let t = 0.0943 - -0.9057. What is the nearest to -0.2 in -92, t, 3/2?
t
Let k = 13 + -9. Let t = -4.4 + k. Let p = 1 - 5/4. Which is the closest to p? (a) 1/4 (b) 2 (c) t
c
Let f(n) = 6*n**2 - 34*n - 5. Let s be f(7). Let m be s/(-204) + (-14)/(-24)*1. Which is the nearest to 0.2? (a) 0 (b) 2/3 (c) m
c
Let t = 0.1825 + -0.4825. Suppose m = 3*p + 8, 0 = -8*p + 4*p + m - 11. Which is the closest to 1? (a) -0.5 (b) t (c) p
b
Let x = 1/10 - 3/5. Which is the nearest to x? (a) -0.5 (b) -1/4 (c) -38
a
Let m be ((-11)/(-1))/((-7)/896). Let p = -16879/12 - m. Let z = p - 3/4. What is the closest to z in -4/5, 0.5, -5?
0.5
Let s = -10.2 - -4.4. Let y = -5.9 - s. Which is the nearest to 2/3? (a) 3 (b) 5 (c) y
c
Let h = 31 - 43. Let r be 16/24 + 2/h. What is the closest to 2/3 in r, 1, -2/7?
r
Suppose -5*h - 1 = -4*i, 5*i + 4*h = 4*i + 16. What is the closest to 93 in -0.5, 0.1, i?
i
Let b = -4.7 - -4.7. What is the nearest to -1/6 in 2, 1/6, b?
b
Let d = -90.06 - -88. Let m = -0.06 - d. Let k = -224 + 893/4. Which is the nearest to 2/3? (a) m (b) -0.5 (c) k
b
Let m(h) = -h**3 - 4*h**2 - 2*h - 3. Let x be m(-4). Let z = -179 + 357/2. Let g be 22 + -15 - (3 - -1). Which is the nearest to g? (a) -1 (b) x (c) z
b
Let x = 28 + -28.1. Let h = 96 - 93. Which is the closest to x? (a) h (b) -0.1 (c) -3/2
b
Let a = 0.09 + -1.79. Let g = -0.3 + a. Let d = -0.484 + -0.016. What is the closest to 2 in g, d, -5?
d
Let m = -0.68 - -1.68. What is the nearest to m in 1/4, 0.5, -4?
0.5
Let y be 61/(-7) - (-26)/(-91). Let w be (y/54)/((-1)/(-2)). Which is the nearest to w? (a) 2 (b) -5 (c) 4/3
c
Let g(r) = 2*r + 8. Let p be g(-3). Suppose 2 = -3*k + p. Which is the closest to -2/7? (a) 2/23 (b) k (c) -4
b
Let j = -27.1 - -31.1. Let u = -397131/68 + 5841. Let m = 3/34 - u. What is the closest to 1 in 0.2, m, j?
0.2
Let s be 7249/19770 + 3/10. Let r = 1 + -1. Suppose r*g + 2 = -2*g. What is the closest to 2 in 1/2, g, s?
s
Let p(d) = -d**3 - 7*d**2 + 2*d. Let f be p(-7). Let y be 26/7 - f/49. Let w = 2234/9 - 248. Which is the closest to y? (a) w (b) -0.3 (c) 0
a
Let t = -130/473 + 4/43. What is the nearest to 1/4 in 3/8, t, 0.5?
3/8
Let q = -8.09 - -7.09. Which is the closest to 4? (a) q (b) 5/2 (c) -4
b
Let w = 0.211 - 3.211. What is the closest to w in 0, 0.2, 4?
0
Let l = 3.419 + -0.419. What is the closest to 2/11 in 5, l, -0.1, -0.5?
-0.1
Let q(c) = -5*c**2 - 2*c + 8*c + 10 + 0*c + c**3 - 2*c**2. Let z be q(6). Let o be z/(-5) + (-14)/(-8). What is the closest to o in -0.2, 0, -0.4?
-0.2
Let d = -2462/11 - -224. Let v = 7 + 6. Let x be 2/v + 48/195. What is the nearest to -0.1 in 0, d, x?
0
Let d = 4 + -6. What is the nearest to 2/7 in d, 5, -0.4?
-0.4
Let g = 7.01 - 7. Let x = 2.01 - g. Let c = x + -4. What is the nearest to 2/5 in -5, c, 4?
c
Let y = -2 - -7. Let g = -10 + 5. Which is the closest to 1/3? (a) g (b) y (c) 2/13
c
Let g = -28 - -65. Let y = g - 32. Which is the closest to y? (a) -0.3 (b) -0.4 (c) -1/4
c
Let v = -457327 + 36583883/80. Let s = v
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 11*j**2. Differentiate k(l) with respect to l.
-52
Let s(z) = -3794*z - 2959. Let v(y) = -7589*y - 5901. Let f(d) = 7*s(d) - 4*v(d). Differentiate f(u) wrt u.
3798
Let k(h) = -h**3 + 14*h**2 + 16*h - 13. Let o = 72 + -57. Let y be k(o). What is the second derivative of 37*q**2 - 32*q - 18*q**y - 10*q**2 wrt q?
18
Let o be 24 + 18288/(-992) + 2/(-31). Let u(k) be the first derivative of 0*k**3 + 9 + 0*k - o*k**2 + 5/2*k**4. What is the second derivative of u(i) wrt i?
60*i
Suppose -6*y - 27*y = -99. What is the third derivative of -2*g**3 + 69*g + g**y - 7*g**5 - 7*g**5 + 15*g**5 + 2*g**2 wrt g?
60*g**2 - 6
Find the second derivative of 1251 - 1723*q**5 + q - 171*q**5 + 63*q**5 + q wrt q.
-36620*q**3
Let i(a) = -4*a**2 + 43*a + 33*a + 5*a**3 + 4 - 8*a**3. Let y(r) = -r**4 - r**2 + r + 1. Let g(h) = -i(h) + 4*y(h). Find the second derivative of g(w) wrt w.
-48*w**2 + 18*w
Let x(m) be the third derivative of 2*m**7/35 + m**5/60 + 41*m**4/24 - 2321*m**3/3 - 3*m**2 + 85*m - 4. Differentiate x(y) wrt y.
48*y**3 + 2*y + 41
Let d(n) be the third derivative of -9*n**8/56 + n**6/20 - 1057*n**4/24 + n**3/6 + 1747*n**2. What is the second derivative of d(s) wrt s?
-1080*s**3 + 36*s
Let l(t) = -1597*t**2 + 2*t + 15. Let u(h) = 4*h**2 - 2*h + 1. Let i(w) = -l(w) - 7*u(w). Find the second derivative of i(p) wrt p.
3138
Let t be 11/((-62)/112 - 21/(-49)). Let y be 5 - 1 - t - (-1 - -1). What is the derivative of -y*p + 13*p**2 - 91*p + 12 + 183*p wrt p?
26*p
Let t(n) = 3363*n**4 - 23*n**2 + 3*n - 17. Let u(s) = -6727*s**4 + 45*s**2 - 7*s + 32. Let v(j) = 7*t(j) + 3*u(j). Find the third derivative of v(l) wrt l.
80640*l
Suppose 1330 = 2*m + 7*t - 3*t, -3341 = -5*m - 2*t. What is the first derivative of 633*p**2 - 1386*p**2 + m*p**2 - 58 wrt p?
-168*p
What is the second derivative of 4021*h - 550*h + 301*h**5 + 3184*h**5 wrt h?
69700*h**3
Let p(s) = s**3 - 2*s**2 + 2*s + 6. Let y be p(-3). Let d = -43 - y. Find the second derivative of -16*z + 156*z**2 - 82*z**d - 82*z**2 wrt z.
-16
Let t(c) = 2*c**3 - 1. Let o(p) = 10*p**3 - 62*p**2 - 40*p + 17. Let z(r) = -o(r) + 4*t(r). Find the second derivative of z(d) wrt d.
-12*d + 124
Let p(h) be the second derivative of -787*h**5/5 + h**4/6 - 2255*h**2 + 2058*h. Find the first derivative of p(q) wrt q.
-9444*q**2 + 4*q
Let x = 11 - 12. Let f be x/(-2) - (-1228)/8. Differentiate -3 + 160*c - 1 - f*c with respect to c.
6
Let z(s) = s**3 + 10*s**2 + 20*s. Suppose 3*p - 5 = 2*r, -2*p - 27 = -0*r + 3*r. Let c be z(r). Differentiate c*x**2 - 3 + 15*x**2 - 3*x**2 - 9 wrt x.
38*x
Let a(s) be the second derivative of -1087*s**7/21 + 3*s**5/20 - 19*s**3/2 - 28*s**2 - s - 303. What is the second derivative of a(g) wrt g?
-43480*g**3 + 18*g
Suppose 15*k + 57 = 34*k. Let h(q) be the third derivative of 1/3*q**k - 1/5*q**5 - 14*q**2 + 0*q**4 + 0 + 0*q. Find the first derivative of h(g) wrt g.
-24*g
Let c(w) be the second derivative of -293*w**7/42 + 296*w**4/3 - 2*w + 770. What is the third derivative of c(k) wrt k?
-17580*k**2
Let x be 1*37 + 1 - 31/(-31). Let a = x + -7. Find the second derivative of a + 19*r**3 - 32 + 13*r wrt r.
114*r
Suppose -20 = -o - 3*o. Suppose o*r + 1 = 4*j - 1, 2*r = 4. Find the third derivative of -18*u**2 + 35*u**2 - 6*u**3 - 4*u**j wrt u.
-60
Let q(x) be the first derivative of -2*x**5/5 + 649*x**4/4 + x**3/3 - 29*x - 1999. Find the third derivative of q(d) wrt d.
-48*d + 3894
Let u(d) = 6176*d - 5851. Let b(a) = 3087*a - 2924. Let g(j) = -17*b(j) + 8*u(j). Differentiate g(v) wrt v.
-3071
Suppose -62 = -3*o - 242. Let l be (-6)/8*o/15. What is the derivative of 6*g**3 + 21*g**l + 28 + 1 wrt g?
81*g**2
Let a = -10493 + 10493. Let h(j) be the third derivative of -1/12*j**4 - 8*j**2 + 17/60*j**5 + 0 + a*j + 0*j**3. What is the second derivative of h(q) wrt q?
34
Let s = -598 + 601. Find the third derivative of 55*w**s - 25*w**3 - 354*w**2 + 26*w**2 - 28*w**3 wrt w.
12
Differentiate 173887 - 171586 - 429*x**4 - 5464*x**4 - 3539*x**4 wrt x.
-37728*x**3
Let c = 50 + -33. Suppose 3*i + o - 51 = c, 3*i - 3*o = 48. Find the first derivative of -17*v + 8*v + i + 5*v**3 + 9*v wrt v.
15*v**2
Let v = -91 - -100. What is the second derivative of 28*b - 20*b**4 + v*b + 2*b**3 - 3*b wrt b?
-240*b**2 + 12*b
Let l be 6 + 2*-1*1. Suppose 4*o - 58 = -42. What is the first derivative of -6 + 1 + 33*p**l - 24*p**o wrt p?
36*p**3
Let h(w) be the second derivative of 0*w**4 - 2/5*w**5 - 1 + 2/3*w**3 + 20*w**2 - w. Differentiate h(r) with respect to r.
-24*r**2 + 4
Suppose -10 + 2 = -4*j. Suppose -j*r + 4 = -0. What is the second derivative of 17*h**2 - 18*h - 18*h**2 + 8*h**r wrt h?
14
Suppose -5*w + 2*i = -8*w + 36, 3*i = -3*w + 36. Find the third derivative of -175*u**2 + 2*u + 10*u + 15*u**2 - 84*u**3 - w*u wrt u.
-504
Let o be (1/2)/((35/10)/7). Let x(w) = 93*w**3 - w**2 + 2*w. Let i(r) = r**2 - 1. Let n(a) = o*x(a) + i(a). Find the second derivative of n(t) wrt t.
558*t
Suppose y = -5*v - 2 + 11, -v = y - 1. What is the second derivative of -65*w - 33*w**3 - 5*w**v - w**2 + 5*w**2 + w**2 + 2 wrt w?
-198*w
Suppose -3*k = 2*k - 15. Find the first derivative of -2*u**3 - 4*u**k - 8010 + 8066 wrt u.
-18*u**2
Let d(t) be the third derivative of -t**9/252 - t**8/28 - t**6/120 + 2*t**5/15 - t**4/24 - 2*t**3 + 5162*t**2. Find the third derivative of d(v) wrt v.
-240*v**3 - 720*v**2 - 6
What is the third derivative of 541 - 541 - 210*o**2 + 785*o**3 + 15*o**2 wrt o?
4710
Find the second derivative of 502 - m - 26 + 15*m**4 - 5997652*m**3 + 5997663*m**3 wrt m.
180*m**2 + 66*m
Suppose 34 = 11*q - 10. Find the third derivative of -22*o + 36*o + 3*o**5 + o**q + 19*o**2 - 16*o + 23*o**2 wrt o.
180*o**2 + 24*o
Let r(y) be the second derivative of -369*y**8/14 - y**7/42 + 148*y**4/3 + y + 172. What is the third derivative of r(a) wrt a?
-177120*a**3 - 60*a**2
Let w = 5193 - 5191. Suppose -k + c = -4*k + 62, -5*k = 3*c - 98. Differentiate k*p - 17 - 22*p - 4*p**w + 6*p**2 wrt p.
4*p
Suppose -2*a = -4 - 0. Find the third derivative of 115*x**a - 16*x**2 - 7*x**2 + 53*x**5 wrt x.
3180*x**2
Differentiate 3729*s - 4950*s + 3174*s - 1994 wrt s.
1953
Suppose -14*l - 3*l = 12*l. What is the third derivative of -41*a + l*a**5 + 23*a**5 - 91*a**2 + 41*a + a**3 wrt a?
1380*a**2 + 6
Let v(n) be the first derivative of -755*n**4 + 416*n + 10551. Differentiate v(u) wrt u.
-9060*u**2
Let h(z) be the first derivative of z**6 - 51*z**5/5 - 4*z**3/3 - 9*z**2/2 + 40*z + 8201. Find the third derivative of h(x) wrt x.
360*x**2 - 1224*x
Let x(l) be the third derivative of -l**7/210 - 211*l**6/30 - 7*l**5/60 - 59*l**4/24 - 55*l**2 + 8*l. What is the third derivative of x(y) wrt y?
-24*y - 5064
Let s be 2*(27 + (-16)/(-4)). Let m = 64 - s. What is the second derivative of -23*w - m*w + 12*w - 32*w**3 - 14*w wrt w?
-192*w
Let o(r) be the first derivative of -12*r + 109/4*r**4 - 5/3*r**3 + 58 + 0*r**2. Find the third derivative of o(u) wrt u.
654
Let p be 11 - (-1)/(7/(-63)). What is the derivative of 102 - 324*b**p + 86*b + 82*b - 168*b wrt b?
-648*b
Let l(d) be the first derivative of 111*d**5 - d**4/2 - 43*d**2/2 + 8*d + 1197. What is the second derivative of l(m) wrt m?
6660*m**2 - 12*m
Let t be ((-7)/2)/((120/(-16))/15). Differentiate 13*p - 6*p + 10*p**2 - 8*p + 45 - t with respect to p.
20*p - 1
Let a(o) be the third derivative of 2029*o**5/20 - 17*o**4/8 - 29*o**3/6 - 2*o**2 - 2*o + 984. What is the second derivative of a(f) wrt f?
12174
What is the first derivative of 301*p**2 - 98*p + 204*p + 2405*p**2 + 10351 - 106*p wrt p?
5412*p
Suppose 4*d + 5*g = 119, 4*d + 5*g - 26 = 3*d. Suppose -36*t = -d*t - 30. Find the third derivative of q**3 - 21*q**2 + 3*q**3 - t*q**3 + 4*q**3 wrt q.
12
Let u be (0/1)/(-85 - -82). Find the second derivative of 14 + 290*k**4 - 10*k + u*k + 0*k**4 - 95*k**4 wrt k.
2340*k**2
Let s(g) be the first derivative of 151*g**4/4 - 184*g**3/3 - g**2 + 831. What is the third derivative of s(t) wrt t?
906
Let q(v) be the third derivative of -v**6/60 - 1039*v**5/60 + 49*v**4/24 - 2*v**3/3 - v**2 + 134*v. What is the second derivative of q(p) wrt p?
-12*p - 2078
What is the derivative of 172236*f**4 - 560 - 172286*f**4 + f + f wrt f?
-200*f**3 + 2
What is the third derivative of -36*w**2 - 33*w**2 - 11 + 76*w**2 - 2*w**3 - 21*
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is c rounded to six decimal places?
0.000025
Let a = -1.94 + -11.76. What is a rounded to the nearest 10?
-10
Let p(c) = 2*c. Let f be p(3). Suppose -f*u - 180000 = -3*u. What is u rounded to the nearest one hundred thousand?
-100000
Let d = -0.32 + 15.32. Let h = d - 14.1. Let c = h + -0.1. What is c rounded to 1 decimal place?
0.8
Let t be (-2 - -2)/(-1 - -3). Suppose t*u = u. Suppose u = 4*x - 4*j + 111 + 21, -5*x = -2*j + 156. What is x rounded to the nearest 10?
-30
Suppose -2*o - 3*o + 29 = -3*y, -3*y + 3*o = 39. Let p = y + 13. Let z be 180002/p + 2/5. Round z to the nearest ten thousand.
-40000
Suppose 3*c + 4*u - 2220008 = 2*u, 2*c = -2*u + 1480008. Round c to the nearest one hundred thousand.
700000
Let j be (0 + 0)*3/6. Suppose v - 3*v - 6392 = j. Let s = v - -12396. What is s rounded to the nearest one thousand?
9000
Let o = -0.5 + 0.4. Let n = 0.14 + o. Let f = n + -0.040028. Round f to 5 dps.
-0.00003
Suppose -2*v = -5*i + 3*v - 20, -5*i - 4*v + 16 = 0. Suppose -5*j + i*j - 1000000 = 0. Round j to the nearest 1000000.
0
Let j = 25 - 29. What is j rounded to the nearest 10?
0
Let o = 6 - 4. Suppose -o*z + 2422776 = -593818. Suppose 0 = 2*y + 371703 + z. What is y rounded to the nearest 100000?
-900000
Let c = 155 - 154.9961. What is c rounded to 3 dps?
0.004
Let k = 0.0900002 + -0.09. Round k to 6 dps.
0
Suppose 7*f - 2*f = 30. Let r(d) = 26*d**3 - 6*d**2. Let u be r(f). What is u rounded to the nearest 1000?
5000
Let v(y) = y**3 - 5*y**2 - 5*y - 7. Let a be v(6). Let k be (a - -4)/(1/(-7)). Let c = -11 - k. Round c to the nearest ten.
10
Let v = 0.15 + 0.29. Round v to 1 dp.
0.4
Let g = 1 + 1. Suppose -5*r = -2*p + 4*p + 8990, -8996 = 2*p + g*r. Round p to the nearest one thousand.
-5000
Suppose -3*j - 2*j + 10 = 0. Suppose j*i - 200 = 3*i. Round i to the nearest one thousand.
0
Let r = 6.67 - 10. Let b = 0.63 + r. Let w = b - -2.70000017. Round w to seven dps.
0.0000002
Let i(t) = -t**2 + 3*t + 4. Let x be i(4). Round x to seven dps.
0
Let n be 3988/(-10)*(-7 + 2). Suppose -5*d + 437 + n = -2*l, 2*d - 980 = -3*l. Suppose 1213 + d = 2*f. Round f to the nearest 100.
900
Let j = -31.9 + 0.9. Let v = j + 20. Let y = -11.0018 - v. Round y to 3 dps.
-0.002
Let y = -6 - -23. Let l = y - 17.00000008. Round l to seven dps.
-0.0000001
Let d = -117 + 106.2. Let t = -0.44 + d. Let u = -11 - t. Round u to 1 dp.
0.2
Let i = -21.89 - 1.51. What is i rounded to the nearest integer?
-23
Let l = -3.93 - 0.07. Let c = l + 3.999944. Round c to five decimal places.
-0.00006
Let b = -0.5 - -0.3. Let z = 0.21 + b. Let n = z - 0.1. What is n rounded to 1 dp?
-0.1
Let h = 510798703.29999921 + -510798732.3. Let g = -29 - h. Round g to seven decimal places.
0.0000008
Suppose 4*d = 3*d + 4. Suppose 0 = -x + d*y + 100, 331 = 5*x + 3*y - 146. What is x rounded to the nearest ten?
100
Let a = 79.3 + -79.30000331. What is a rounded to 6 decimal places?
-0.000003
Let x = -69.123 + 69. What is x rounded to two dps?
-0.12
Suppose 334 = -d + 879. Let m = d - 339. Suppose 0 = 5*i - m - 294. What is i rounded to the nearest 1000?
0
Suppose 0 = 3*m - 2*k - 3*k - 436, -5*k - 578 = -4*m. Round m to the nearest 10.
140
Let l(j) = 2 - 6 + 0 + 2 + 566666*j. Let o be l(-3). What is o rounded to the nearest 1000000?
-2000000
Suppose -5*v - m - m = 44500010, 35600025 = -4*v - 5*m. What is v rounded to the nearest one million?
-9000000
Suppose 0 = 5*y + 5*t + 13 + 2, -2*y - 3*t - 10 = 0. Let v be y - (26 + 0 + 2). Round v to the nearest ten.
-30
Let s = -18770981941 + 18770981707.811416554. Let k = -1.188573146 - s. Let t = k + -232. Round t to 6 decimal places.
0.00001
Let f = -29 - -29.017. Let c = -0.2 + 0.21. Let v = f - c. What is v rounded to 3 decimal places?
0.007
Let n = 20 + -14.8. What is n rounded to 0 dps?
5
Let z(v) = v**2 + v - 1. Let c be z(1). Let x be ((-4 + 4)/(1 + -3))/(-3). Let n be -2*((-6)/c - x). Round n to the nearest ten.
10
Let c = -7 - -37. Let w = c - 44. Let q = -13.964 - w. What is q rounded to 2 decimal places?
0.04
Let d = 85 + -135. Let b = d + 55.8. Round b to the nearest integer.
6
Let s = 58 - 58.055. Round s to two dps.
-0.06
Let d = 10 - 6. Suppose 3*c - 225978 - 104022 = 0. Suppose -d*p + c = p. Round p to the nearest ten thousand.
20000
Let w = -22.82 - -23. Let t = -0.1868 + w. Round t to three decimal places.
-0.007
Let f(h) = -385*h. Let y be 104/40 - 6/10. Let k be f(y). What is k rounded to the nearest 100?
-800
Let z be (-164)/6*(10/5 - -1). What is z rounded to the nearest integer?
-82
Let f be -10*(-1 - -3)/((-3)/6). Round f to the nearest 100.
0
Suppose -2*d + 17 + 193 = 0. Suppose -2*g - 3*n - d - 2 = 0, g - 5*n + 73 = 0. What is g rounded to the nearest ten?
-60
Let p = -15 + 10. Let r = p + 2.1. Let v = r + 3.92. What is v rounded to one decimal place?
1
Let a = 4820114 + -934601. Let z = 3885512.95099899 - a. Let r = z + 0.049. What is r rounded to seven decimal places?
-0.000001
Suppose d + 3399996 = 2*d + 2*p, 0 = -4*d + p + 13600002. Round d to the nearest 1000000.
3000000
Let o be (9/12)/((-1)/(-4)). Suppose -3 = 5*z - 13, -o*p + 5*z + 239 = 0. Round p to the nearest ten.
80
Let t be 3*(-8)/6 - -21004. What is t rounded to the nearest one thousand?
21000
Let n = -0.4 + 1.1. Let s = 0.1 + n. Let v = s - 0.799976. Round v to 5 dps.
0.00002
Let m = -50.0074 + 50. What is m rounded to 3 decimal places?
-0.007
Let k = 0.16 - 0.08. Round k to two decimal places.
0.08
Let l = -0.0608 - -0.07295. What is l rounded to three dps?
0.012
Let x = 1.787 - 0.067. Let c = 0.9 - 3.1. Let u = x + c. What is u rounded to 1 decimal place?
-0.5
Let a = -27.04 - -13.07. Let k = -0.03 + a. Let m = k + 13.978. Round m to 2 decimal places.
-0.02
Let f = 39 + 19. Let w = 58.224 - f. What is w rounded to 2 decimal places?
0.22
Let l = 38 + -37.808. What is l rounded to 2 decimal places?
0.19
Let i = -5.2 + 5.62. Let c = 3.046 - 0.066. Let d = i + c. What is d rounded to zero decimal places?
3
Suppose 0 = c + 1, 0 = -2*y + 4*y + 4*c. Suppose -y*a - 13 + 3 = 0, 0 = 4*i + 2*a + 282. Let g = -130 - i. Round g to the nearest ten.
-60
Let c be (-100)/(1/80*9/2070). Round c to the nearest 100000.
-1800000
Let i be ((-20)/12)/((-2)/(-6)). Let l be 6*(1 - 10/6). Let h = i - l. What is h rounded to the nearest 10?
0
Let w = 6 + -4. Let y = 2 - w. Let u = y + 0.000008. What is u rounded to five decimal places?
0.00001
Let q = -22.986 + 23. Round q to two dps.
0.01
Suppose 4*w - 343 = 277. Round w to the nearest 10.
160
Let g = 7.88836 - 9.889. Let s = -2 - g. What is s rounded to 4 decimal places?
0.0006
Let l(v) = -3601*v**2 - 2*v - 1. Let z be l(-1). What is z rounded to the nearest one thousand?
-4000
Let o = -663237.000003 - -663243. Let g = o - 6. Round g to six decimal places.
-0.000003
Let q = 1289.21 + 50658.79. Let z = q - 51959.0066. Let n = 11 + z. What is n rounded to 3 decimal places?
-0.007
Suppose 3193743 = -2*i + 5*i. Let a = 564581 - i. Round a to the nearest 100000.
-500000
Let d = 42.3 + -11.5. Round d to the nearest integer.
31
Let l = 0.3159 - 957.8159. Let a = -957.0001 - l. Let v = a + -0.5. What is v rounded to three dps?
0
Suppose -8*i - 320000 = -4*i. Round i to the nearest 10000.
-80000
Let l(p) = 19*p**3 - 6*p**2 + 21*p - 14. Let d be l(6). Round d to the nearest one thousand.
4000
Let x = -51 - -51.00000033. What is x rounded to 7 dps?
0.0000003
Suppose j = -o - 0*j + 79, -3*j = -4*o + 309. Let u = o + -47. Round u to the nearest 10.
30
Let z = 0.08 - -4.92. Let x = z - 5.0003. What is x rounded to 3 decimal places?
0
Let g(u) = -u**2 - 11*u - 5. Let n(j) = -j**2 + j + 2. Let f be n(-3). Let m be g(f). Let z be (-40002)/m - (-4)/10. What is z rounded to the nearest 1000?
-8000
Let s = -11.1 - -11.0929. What is s rounded to three dps?
-0.007
Suppose i = -4*i + 60135. Suppose -5*a - u = 975 + i, 0 = -3*u - 6. What is a rounded to the nearest 1000?
-3000
Let b = 34 - 62. Let k = 27.9999946 + b. What is k rounded to six dps?
-0.000005
Let x = 0.484 - 0.094. Let r = -0.26 - x. Round r to one dp.
-0.7
Let v = -22 + 25.2. Let r = 238.9 + -229. Let g = r - v. Round g to the nearest integer.
7
Let r be (-1876004)/(-14) - (-6)/(-21). What is r rounded to the nearest ten thousand?
130000
Suppose g = -67 - 14. Let y = g + 986. Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
-6
2*((-25)/(-12) - (-29)/(-348))
4
Evaluate (-1 - 24/(-28))*1.
-1/7
Calculate -17 + 14 - (-1 + (-48)/22).
2/11
What is (-44)/(-10) - (112/(-20) + 6)?
4
What is the value of ((-16)/((-320)/30))/(1/(-2))?
-3
-4 + 42/12 - 3/(-14)
-2/7
Evaluate (-282)/30 + 6 + 4.
3/5
Evaluate (-270)/(-243) - 26/(-9).
4
Evaluate 2*7/(-2) - (-46)/6.
2/3
What is (6/162 - 0)/(4/24)?
2/9
What is the value of ((-63)/28 - -4)/(6/(-24))?
-7
Evaluate 54/9 + (-3 - 1) - 6.
-4
Calculate (0 + -1)/(4/12).
-3
(-12)/(-27)*1/(-2)
-2/9
What is the value of (-34)/(-28) + 30/(-20)?
-2/7
What is -12*(-112)/(-1617) + 4/14?
-6/11
What is (168/60)/(-7)*(-15 + 0)?
6
Evaluate (-2)/4*(7 + -3).
-2
Evaluate (23/46)/((-38)/(-8)*1).
2/19
((-3)/(-12))/(-1) - (-455)/140
3
Evaluate 12 + -2 + -13 - (-13)/3.
4/3
What is the value of 2 - -2*(-1)/(-2)?
3
0 + (45/24)/(-5)
-3/8
((-150)/(-375))/((-3)/5)
-2/3
Calculate ((-30)/12)/(2/4).
-5
Evaluate -12 + (-294)/(-24) - (-27)/4.
7
What is the value of (3 + 4 + -6)*3?
3
((-1)/(-9))/(6 + (-70)/12)
2/3
Calculate (27 + -23)*(-1)/2.
-2
Evaluate ((-2)/5)/(-1) + (-54)/10.
-5
Evaluate -8 - ((-608)/77 + (-52)/182).
2/11
Evaluate (-24)/(5 + -9) - 1.
5
(-14)/63 + 4/18
0
(-4 + 6 + -3)/1
-1
What is 140/28*2/(-2)?
-5
Evaluate (6 - 3) + -4 + 3/5.
-2/5
(-4)/(-3)*(-60)/(-16)
5
What is the value of 0 - (18/(-3) - (-78)/14)?
3/7
6/(-14) + -13 + (-676)/(-91)
-6
What is (5/10)/(6/(-8))?
-2/3
Calculate (24/(-10) - -2)/(138/115).
-1/3
Calculate 2/30*(-2)/((-10)/(-15)).
-1/5
Evaluate 329/(-238) - (-12)/8.
2/17
What is 161/(-280) + (-24)/(-64)?
-1/5
72/44*14/(-42)
-6/11
Evaluate ((16/(-10))/(-2))/(17/(-85)).
-4
Calculate 9/((-243)/(-6)) + (-129)/(-27).
5
Calculate 50 + -51 + (-9)/(-5).
4/5
What is the value of (-4 - -7)*6/(-117)?
-2/13
Evaluate (2/12 - 10/60)*1.
0
What is the value of 1*-9 + (-3465)/(-378)?
1/6
Calculate (-147)/54 + (-4)/(-18) - -2.
-1/2
Calculate (-11 - -15 - 5)*9*1.
-9
Evaluate -4 + 220/275 + (-31)/(-5).
3
What is (6 + (2 - 8))/((-4)/2)?
0
Evaluate (1/5)/((-90)/150).
-1/3
What is the value of -7 + (-6 + 60)/6?
2
Calculate ((-96)/238 - 2/(-7))*-1.
2/17
What is 16/10*((-30)/8 - -4)?
2/5
-1 - 1/(-7) - (-4)/7
-2/7
What is the value of -1 - (408/(-792) + 2/11)?
-2/3
Calculate (-2)/(5 + -6 - -3).
-1
Evaluate (-3 + -1)*(10 - 81/9).
-4
Evaluate ((-32)/120)/(10/(-25)).
2/3
What is the value of ((-2)/30)/(17 + (-608)/36)?
-3/5
What is the value of ((-4)/(-14))/((-1)/(-7)) - 7?
-5
What is the value of 4/(8/(-14)) - (-7 - -5)?
-5
Evaluate ((-5)/(-4) + -2)/((-3)/(-2)).
-1/2
What is ((-10)/(-4))/(6/(-12))?
-5
Evaluate 24/14 - 14/(-49).
2
What is 15/6*(-68)/(-34)?
5
(340/55 - 6) + (-52)/165
-2/15
50/(-10) - (-66)/6
6
1*(-6)/(-8)*16/(-4)
-3
(2/4)/((-438)/(-292))
1/3
Evaluate (-70)/(-315) - 68/(-18).
4
Evaluate 1/((-5)/(-4))*310/(-1364).
-2/11
-6 - 205/(-15) - 8
-1/3
What is the value of (-10)/80 - (-18)/80?
1/10
Calculate (-209)/(-264) + (-1)/8.
2/3
What is the value of 4/10 - (-11)/((-495)/48)?
-2/3
Calculate 17/(-3) - 84/(-126).
-5
-3*1/21 - (-6)/(-7)
-1
What is ((-123)/15 - -1) + (-5)/(-25)?
-7
Evaluate (16/(-10) - 0)/((-18)/45).
4
What is the value of 245/(-343) - (-80)/14?
5
((-3)/(6/4))/(-1 - -3)
-1
Calculate (28/(-35))/((-8)/(-80)).
-8
Calculate 8/(-15) - 3/(-60)*4.
-1/3
((-2)/(-24))/((-45)/12 - -4)
1/3
2 - 5/(110/33)
1/2
Evaluate -7 - (-10 - 78/13).
9
(-98)/(-441)*-3*1/(-4)
1/6
Calculate (-2)/3 + (15/9 - 0).
1
What is the value of ((-12)/7)/((-240)/(-42) - 6)?
6
What is the value of (-40)/(-69) + -1 - 27/(-81)?
-2/23
What is (-18)/54 + (-13)/(-3)?
4
Calculate 0 - (-4)/(5/2 + -2).
8
What is 4 - -40*(-8)/60?
-4/3
((-3)/(-99))/(18/(-324))
-6/11
Evaluate (39/(-9))/((-12)/9) - 3.
1/4
Evaluate (3/9)/(-94 + 92).
-1/6
Evaluate ((-8)/20)/(8/100).
-5
What is the value of 3*2*34/68?
3
What is the value of 2/(-45)*(-125)/50?
1/9
Calculate -4 - 8*((-21)/4)/7.
2
Calculate (1 - 3) + 5*(-72)/(-200).
-1/5
-4*((-2)/16 - 18/48)
2
What is the value of -4*((-28)/(-84))/(8/(-6))?
1
What is (6/24)/(((-2)/2)/2)?
-1/2
What is the value of 8/(-2)*(-14)/(-84)?
-2/3
Evaluate -6 + 3 + (-539)/(-176).
1/16
What is the value of 5 + -3 + 1 - (6 - 7)?
4
Calculate (12/(-48)*4)/(2/12).
-6
Evaluate -3 + 3 + 0 - -2.
2
Calculate (-4)/(-20)*(5 - 90/42).
4/7
Calculate 58/14 - 3/21.
4
Calculate 3/(-15 + 3) - (-2)/8.
0
Evaluate 1/(-3) - (-9)/(-27).
-2/3
Calculate (-35)/(-11) + 26/(-143).
3
What is the value of (-80)/70*(-56)/32?
2
12*(105/30 - 2*2)
-6
(-4)/10*30/(-1 + 4)
-4
-4 - (16/7 + (-6)/21)
-6
What is (1/(-3))/((-2)/6*1)?
1
What is (-2)/10 + 1530/400 + -4?
-3/8
Calculate (-4 - (-44)/12)*(-3 + 3).
0
What is the value of -8*(-5)/(-10)*1?
-4
What is ((5/(-15))/1)/(-1)?
1/3
Evaluate ((-16)/(-32))/((-2)/(-28)).
7
What is the value of 57/(-38)*4/(-30)?
1/5
What is the value of 138/(-42) + 3 + (-64)/(-126)?
2/9
Evaluate (56/24)/(14/(-42)).
-7
What is the value of 1*-4 - (8 - 11)?
-1
What is the value of 5*6/(-30) + 6 + -1?
4
What is 2/10*(-15)/(-9)?
1/3
What is -7 - 8/16*236/(-14)?
10/7
What is ((-2)/(-3))/(10/60)?
4
What is the value of 441/91 + (-12)/(-78)?
5
What is the value of (30/(-3)*(3 - 2))/2?
-5
Evaluate (2 - 5/(-1))*52/(-182).
-2
Evaluate (-30)/(-50)*(-4)/3.
-4/5
Evaluate 4/(1*(-10)/5).
-2
Calculate (3/(-4))/((-3 + -2)/(-20)).
-3
Calculate (6/(-30))/((-2)/(20/6)).
1/3
What is the value of -20*(-44)/(-216) + 8/2?
-2/27
Evaluate 533/(-52) - 2/24*-3.
-10
Evaluate 1 - (-29)/(-30) - (-15)/150.
2/15
Calculate (-8)/10*(-49)/(-392).
-1/10
Calculate (-1)/(6/(-16))*(-42)/(-28).
4
Evaluate (-11)/(-2) + 66/(-44).
4
1 + -7 - (-3 + 2)
-5
Calculate -3*(-5)/(-30)*2.
-1
Calculate 21/(-7)*(3 + (-30)/9).
1
What is the value of ((-21)/(-4) - 3) + (-3)/4?
3/2
-4 + (2100/(-16))/(-21)
9/4
What is -5 - -8 - 1*6?
-3
((-8)/(-10))/((4/20)/1)
4
What is 3/6*16/(80/(-45))?
-9/2
What is the value of 9/(-72) + (-7)/8?
-1
((-5)/(-10))/(75/(-90))
-3/5
Evaluate (4/(12/(-3)))/(2/2).
-1
What is (12 + -5 - 6) + 0 + -5?
-4
What is the value of (-272)/1122 + -1 + 12/9?
1/11
(9/(-3 + (-6)/(-4)))/2
-3
What is ((-3)/18)/((-6)/(-40)*5)?
-2/9
Evaluate -6 - (1/4 + 1068/(-176)).
-2/11
((-1)/2)/(11/88)
-4
Evaluate (-6)/(-4) - 2189/(-398).
7
90/36*(0 + 2) - 4
1
What is the value of (3 - (-66)/(-18))*(-9)/2?
3
(-80 - -85) + 22/(-4)
-1/2
What is -6 + (-8)/(-12)*9?
0
Calculate (-1)/((-76)/(-8) + -5 - 2).
-2/5
Calculate (39/9 + -5)/((-156)/(-18)).
-1/13
What is (-720)/(-288) - 10/(-4)?
5
What is 4 + (-1180)/380 + (-2)/2?
-2/19
(-1)/(-7) - 400/56
-7
What is (-15)/(-8)*(-18)/27?
-5/4
(-6)/(-39) - 384/1144
-2/11
Calculate (6/21)/(1/2*-1).
-4/7
(-8)/(-5)*90/72
2
Evaluate ((-126)/378)/((-1)/(18/4)).
3/2
What is (-102)/12 - 20/(-8)?
-6
What is 0 + 2 + 63/(-27)?
-1/3
What is the value of -2*2*(-15)/20?
3
What is the value of 5285/6644 + (-1)/4?
6/11
What is the value of (-10)/(-6) - 98/(-42)?
4
Evaluate (-26)/(-14) + (-8 + 17)/63.
2
Calculate 272/(-72) + 2 - (-2 + 0).
2/9
Evaluate 4*(803/(-1694) + (-6)/(-14)).
-2/11
What is 6/16 + (-3)/(-120)?
2/5
What is 0*(1/1 - 2)?
0
24/15*(-1)/(-2)
4/5
Calculate (-64)/(-40)*10/8.
2
Evaluate (-20)/8 + (5/(-2))/5.
-3
(2 - (-8 - -4))*(-6)/(-45)
4/5
(1*-2)/(43/((-4257)/22))
9
3 + (-1)/1 - 3/1
-1
What is (-10)/4*12/(-255)?
2/17
Evaluate 22/55*(-6)/4.
-3/5
(-3)/(30/(-4))*15/(-4)
-3/2
Evaluate (-27)/180*5 - (-19)/36.
-2/9
Evaluate 3/(-12)*(-34)/51.
1/6
What is 6/4*(-7)/(252/(-8))?
1/3
What is (-6)/(-14) + 308/196?
2
What is the value of (-10)/15 - (-7)/(-3)?
-3
What is the value of 9 - -5*1205/(-675)?
2/27
What is (10/(-25))/(1/10)?
-4
340/4335*(-3)/2
-2/17
Evaluate 24/(-3) - (-3 - 1).
-4
What is 6 + 306/(-48) - 0?
-3/8
Evaluate (-3 - -4) + (1/3 - 1).
1/3
Calculate 11/5 + (-3)/15.
2
What is ((-2)/9)/(-2)*(-411 + 405)?
-2/3
What is (-6 - 0)*(-17 - (-49)/3)?
4
(5 + -6 - -7)/(-14)
-3/7
What is 88/42 + 3 + 2 + -7?
2/21
10/4*(112/40 - 4)
-3
((-3)/90)/((-16)/(-120)*-3)
1/12
0 + (24/7 - 15/35)
3
What is the value of (-26 + 8 - 3)*(-1)/3?
7
Calculate 247/572 - ((-2)/(-8) - 0).
2/11
Evaluate 1 - -5 - (-9)/(-1).
-3
Calculate (-5)/(-25) + -1 + 0.
-4/5
(-44)/(-55)*(-60)/(-8)
6
What is 246/451 - (-204)/(-495)?
2/15
Evaluate 1/6 + (665/(-90))/19.
-2/9
What is ((-216)/162)/(6/45)?
-10
What is the value of (651/(-4))/31*12/(-9)?
7
Calculate (-3)/(2/(-7) - 37/(-56)).
-8
Evaluate (0 + 4/60)*(-5 - -2).
-1/5
0 + 1 + -3 - 18/(-36)
-3/2
Evaluate (
|
{
"pile_set_name": "DM Mathematics"
}
|
2f093
Convert 1486424 (base 13) to base 2.
11001000000001011110101
What is -150321 (base 7) in base 4?
-13010232
What is -1535714 (base 8) in base 15?
-8ab47
Convert 20200121120002 (base 3) to base 13.
976175
10112223 (base 4) to base 11
12444
Convert -1784 (base 15) to base 4.
-1033102
-17cf5 (base 16) to base 3
-11221210001
Convert -9842742 (base 10) to base 9.
-20461630
-14043101 (base 5) to base 11
-98919
Convert 11122100200 (base 3) to base 2.
10110010011111010
51552255 (base 7) to base 4
100201223010
Convert 445b6d (base 14) to base 15.
30ca3d
What is 1121101202111 (base 3) in base 12?
352404
Convert -130023221 (base 4) to base 6.
-2250225
What is 78786 (base 10) in base 3?
11000002000
What is -1517675 (base 10) in base 6?
-52310135
-42b79d (base 14) to base 10
-2259823
What is 2002121100 (base 3) in base 10?
41265
76074b (base 12) to base 13
504c20
What is 3341442 (base 6) in base 13?
5bb29
-10220202121 (base 3) to base 12
-38751
Convert -366021 (base 8) to base 5.
-13012334
-59536 (base 13) to base 4
-213322030
What is -232922 (base 10) in base 8?
-706732
Convert 22232000332 (base 4) to base 12.
b3613a
Convert 1557261 (base 8) to base 4.
1231322301
-100110111000111 (base 2) to base 3
-1000022110
What is 2012001111121 (base 3) in base 5?
244144033
Convert 7419988 (base 10) to base 9.
14858271
What is 1720327 (base 8) in base 7?
4151341
Convert -29963b (base 12) to base 2.
-10101011000101001111
Convert 435061 (base 7) to base 3.
10212111211
6019008 (base 11) to base 9
22041243
2072164 (base 11) to base 13
9a986c
What is 4404396 (base 10) in base 8?
20632254
What is 5466007 (base 10) in base 13?
1194c31
What is -17a689 (base 11) in base 13?
-99504
What is 112201221000 (base 3) in base 10?
290088
Convert 497ac (base 15) to base 16.
39474
What is 244644101 (base 7) in base 8?
72612236
-101010100001000111001 (base 2) to base 9
-2553110
Convert 556c37 (base 13) to base 14.
3a622a
36031112 (base 7) to base 5
1303343002
What is -47083 (base 14) in base 6?
-3412511
-236465 (base 8) to base 12
-3abb1
10110001010011111 (base 2) to base 5
10401113
14284621 (base 9) to base 13
160ca92
-1011031131300 (base 4) to base 3
-1021010202122020
What is -4033345 (base 6) in base 10?
-191297
Convert 3742145 (base 13) to base 5.
13400321332
Convert -42033505 (base 6) to base 8.
-4512361
-2123bb9 (base 12) to base 13
-13b6699
Convert 223102302112 (base 4) to base 14.
1715db0
Convert -5488b (base 12) to base 16.
-1b4eb
-14db11 (base 14) to base 4
-2302003303
Convert -406623 (base 8) to base 3.
-20211120020
-3459982 (base 10) to base 11
-1a53599
10101111110010101 (base 2) to base 9
146415
Convert -10010011001100010111100 (base 2) to base 9.
-10061202
-132863 (base 14) to base 7
-5416553
265013 (base 9) to base 12
792a9
1112121020220 (base 3) to base 8
3077245
85d6 (base 14) to base 8
55120
3412231234 (base 5) to base 10
7539569
Convert -617461 (base 14) to base 5.
-1320113222
Convert 191a90 (base 12) to base 13.
124908
Convert -66421c (base 13) to base 14.
-469919
4b557 (base 12) to base 13
379c0
What is 12210011120112 (base 3) in base 12?
1042a4b
-2756631 (base 8) to base 9
-1414627
11310212 (base 4) to base 6
302222
Convert -554121433 (base 6) to base 8.
-46101575
What is -1225452045 (base 6) in base 16?
-d9b6dd
Convert 122003321102 (base 4) to base 6.
402232122
-38799a (base 12) to base 3
-1202001002101
What is -34240 (base 6) in base 11?
-3708
What is 261601 (base 8) in base 7?
526222
Convert -259e6 (base 15) to base 4.
-131120232
-84a9a2 (base 14) to base 8
-21070742
-10111100110111100100101 (base 2) to base 3
-102122102111012
-123063026 (base 7) to base 16
-76b7c1
Convert -50d72 (base 16) to base 13.
-b793c
-210011005 (base 6) to base 8
-15706555
-101001101101111000001111 (base 2) to base 13
-235b802
1101432340 (base 5) to base 8
11034717
285447 (base 9) to base 13
61618
Convert 1a7dd7 (base 15) to base 5.
312324002
Convert -135134412 (base 6) to base 8.
-12431110
Convert 2440225 (base 7) to base 5.
34442442
11100113100 (base 4) to base 2
101010000010111010000
526063 (base 12) to base 6
43440203
What is -b8d4 (base 14) in base 11?
-21aa5
-17614653 (base 8) to base 3
-21210002121201
Convert 6102744 (base 9) to base 14.
60845a
What is 124443311 (base 5) in base 10?
624831
Convert 1221201212 (base 3) to base 15.
b5ce
-5415230 (base 7) to base 4
-2201003330
Convert 256a620 (base 12) to base 9.
14755226
-10210102122110 (base 3) to base 10
-2016156
Convert -571624 (base 8) to base 16.
-2f394
What is 478ba (base 15) in base 5?
24244400
-1548a (base 11) to base 12
-107b2
Convert -521a13 (base 14) to base 5.
-1202130143
What is -33331123 (base 4) in base 13?
-239a7
What is -25d54d (base 16) in base 13?
-68a72c
What is 122112202122 (base 3) in base 13?
c1283
What is 1299a (base 12) in base 11?
18269
Convert -875853 (base 9) to base 16.
-7f9a4
What is -17c837 (base 13) in base 14?
-118406
Convert -a44a9a (base 11) to base 12.
-6898b1
Convert 122102210100122 (base 3) to base 15.
c309be
What is 60295 (base 12) in base 5?
12443232
What is 313177 (base 8) in base 2?
11001011001111111
Convert -2eb90a (base 15) to base 13.
-614926
11c0b (base 14) to base 9
65628
What is 2769139 (base 11) in base 9?
8870758
What is -10031032201 (base 4) in base 5?
-240242003
210103542 (base 6) to base 9
6768748
Convert -940592 (base 14) to base 15.
-68a0c8
Convert 10011111000110100 (base 2) to base 12.
3b184
911462 (base 14) to base 10
4882446
-128566 (base 10) to base 6
-2431114
1303002 (base 4) to base 9
11080
50341305 (base 6) to base 4
11130300221
What is 5744 (base 16) in base 15?
6945
What is 6084728 (base 9) in base 7?
36402413
-101011001101100100000110 (base 2) to base 10
-11327750
Convert 237462 (base 8) to base 13.
2b269
Convert 33412412 (base 5) to base 8.
1077514
-291cbf (base 16) to base 11
-1580326
What is 3b1629 (base 12) in base 7?
11210013
-10132132221 (base 4) to base 14
-2278b7
-2b96835 (base 12) to base 5
-4240013210
873c5 (base 16) to base 15
ae1d5
-31204560 (base 7) to base 3
-11221021211120
Convert -2130334112 (base 5) to base 15.
-5eb13c
What is 7003702 (base 9) in base 8?
16147133
Convert 210120212121 (base 3) to base 10.
424915
What is 3c54a (base 15) in base 12?
9402a
-210424 (base 10) to base 2
-110011010111111000
2302231110 (base 4) to base 6
23404500
Convert 1430100102 (base 6) to base 13.
3869b10
What is -108561 (base 10) in base 12?
-529a9
-222100030 (base 4) to base 10
-173068
Convert 110100111000001010 (base 2) to base 5.
23412321
What is -210010112002002 (base 3) in base 13?
-2432423
Convert -12100122012022 (base 3) to base 6.
-141004012
-644a20 (base 12) to base 11
-992354
Convert -111102002102 (base 3) to base 2.
-1000000011100011011
What is 110112101110 (base 3) in base 16?
3c39c
Convert -1ab527 (base 12) to base 5.
-110212301
Convert -1104444312 (base 5) to base 7.
-26404510
What is 321111200 (base 4) in base 14?
6182c
3929a (base 12) to base 2
10011000101010110
Convert -832c88 (base 14) to base 10.
-4425800
Convert 6528c4 (base 15) to base 5.
2213134414
Convert 2584342 (base 10) to base 4.
21312330112
Convert -426421 (base 8) to base 10.
-142609
What is -440738 (base 10) in base 15?
-8a8c8
154110033 (base 6) to base 13
8a88a1
Convert 1120304013 (base 5) to base 15.
348a08
Convert 48b617 (base 13) to base 10.
1738861
Convert 2382206 (base 9) to base 10.
1294143
146614 (base 9) to base 12
4421a
3066e (base 15) to base 12
74895
What is 36e3da (base 16) in base 6?
205034014
53202 (base 11) to base 14
20318
What is 1fe763 (base 16) in base 6?
112451511
What is -64283 (base 11) in base 15?
-1ca88
What is -30414d (base 14) in base 11?
-a0a742
284416 (base 10) to base 2
1000101011100000000
Convert -13213103232 (base 4) to base 5.
-1002333024
-1388416 (base 9) to base 7
-6343605
What is -36243 (base 8) in base 14?
-592b
37661 (base 11) to base 5
3212113
What is -30352 (base 6) in base 14?
-167a
-3475816 (base 9) to base 6
-104151110
What is -151413413 (base 6) in base 15?
-4260a3
What is -24111434 (base 5) in base 7?
-1615254
What is 13027432 (base 8) in base 15?
3c2e7c
What is -528888 (base 9) in base 5?
-40034202
Convert 23610263 (base 7) to base 14.
3ca7a3
Convert 14355041 (base 6) to base 15.
9c5ed
Convert 85a391 (base 11) to base 7.
14455605
What is 39
|
{
"pile_set_name": "DM Mathematics"
}
|
) assuming f is positive.
f**(-1120/17)
Simplify ((x/x**(-1))**(-3/26)*x*x**7/x*x**(-2))**(-11) assuming x is positive.
x**(-682/13)
Simplify ((f**(-1)/f*f*(f**(5/6)*f)/f)/((f/f**0)/f)**14)**(-4/5) assuming f is positive.
f**(2/15)
Simplify (h**(-1/2)/(h/(h/(h**(-22)*h))*h))/(h**(2/9)*h*h**14) assuming h is positive.
h**(77/18)
Simplify (n**(-3/29)/(n/(n**32*n)*n))/((n/n**(13/2))/n**(-4)) assuming n is positive.
n**(1879/58)
Simplify (x**(-2/3)/(x/(x*x**(-1))))/(x*x*x/(x**(-13)*x)*x*x**10/x) assuming x is positive.
x**(-80/3)
Simplify (d/d**(-2))/(d**(4/9)/d)*(d*d*d**(-3/4))**42 assuming d is positive.
d**(1009/18)
Simplify (g**(1/2)/g*g*((g/(g/(g/(g*g**8*g))))/g*g*g)/g)/((g*g**(5/2))/(g*g**13)) assuming g is positive.
g**2
Simplify (g**11*g**1*g**1*g**(2/15))**33 assuming g is positive.
g**(2167/5)
Simplify ((g**(-2/19)*(g/((g**(-2/9)/g*g)/g))/g)**19)**47 assuming g is positive.
g**(8977/9)
Simplify (d/d**6*d*d)/(d**(2/3)/d*d)*d**(2/7)/(d**(-12/5)/d) assuming d is positive.
d**(2/105)
Simplify ((t**(2/7))**39/(t**(2/7)*(t*t**(-3))/t*t))**(-1/3) assuming t is positive.
t**(-30/7)
Simplify p**(-1/4)/(p*p/(p**5/p))*(p**(1/6))**(-22) assuming p is positive.
p**(-23/12)
Simplify (n**3)**(9/4)*(n**5*n)**(-2/27) assuming n is positive.
n**(227/36)
Simplify ((w/(w*w/(w**(-13)*w)*w)*w)/w)/(((w/w**(5/4)*w)/w)/w)*(w*(w*w/w**4)/w*w)**(-1/75) assuming w is positive.
w**(-3821/300)
Simplify ((n*n**(-1/5)/n*n*n)/n)**(-18)*(n/((n**(-3)/n)/n))/((n/(n*n**(-2/9))*n)/n) assuming n is positive.
n**(-388/45)
Simplify x**(-3/4)/((x*x/((x/(x**(-4/11)/x))/x)*x)/x*x)*x**(2/13)/(x*x**6) assuming x is positive.
x**(-5281/572)
Simplify (((q/(q/(q/q**1)))/q**4)**(-2/33))**(-8/7) assuming q is positive.
q**(-64/231)
Simplify (z*z**(-1)*z*z**7)**(-3/11) assuming z is positive.
z**(-24/11)
Simplify ((i**(-8)/i**10)/((i**(1/7)/i*i*i)/i)**(-42))**(-25) assuming i is positive.
i**300
Simplify l**(1/13)/(l/(l*(l/l**(-2/17)*l)/l))*((l/l**8*l*l)/l)/l**(-11) assuming l is positive.
l**(1369/221)
Simplify j**(-11)/j**(-4)*j**(2/19)*j**(-7)/j assuming j is positive.
j**(-283/19)
Simplify d*d*d**(9/7)*(d*d*d**(-4/7)*d)/d*d**(-27)/d**(-19) assuming d is positive.
d**(-23/7)
Simplify h**(-3)/h*h/(h/(h**(-1/9)*h*h))*((h*h**(-2/55))/h)/((h/(h**17*h))/h) assuming h is positive.
h**(7847/495)
Simplify (r*((r*r*(r**37/r)/r)/r*r*r)/r*r*r*r)/r**(-2/69)*(r**(-4/7))**(-7) assuming r is positive.
r**(3107/69)
Simplify ((f**2/f)/f*f*f*f)**(-2/3)*f**(2/67)/f*((f/(f/(f*f**(-3/13))))/f)/f*f assuming f is positive.
f**(-2788/871)
Simplify (r/(r**(-4)*r))/(r/(r**(-1/14)/r))*(r/(r**(-18)*r)*r)**(5/4) assuming r is positive.
r**(719/28)
Simplify ((k/(k**(-2/67)*k)*k)/k)/k**10*k**7*((k/k**12)/k)/k assuming k is positive.
k**(-1070/67)
Simplify (((t*t**(-5/3))/(t/(t**(1/9)*t*t)))/(t**1)**(-30))**(1/26) assuming t is positive.
t**(137/117)
Simplify ((v/((v*v/(v/v**12)*v)/v))**16)**(-4/11) assuming v is positive.
v**(768/11)
Simplify (y**(-6/11))**(-3/14)/(y**(2/55)/y**(-4)) assuming y is positive.
y**(-1509/385)
Simplify d/((d*(d*d**0*d)/d)/d)*d/((d/(d*d**0))/d)*(d/d**(-1))**(-3/26) assuming d is positive.
d**(23/13)
Simplify ((y*y/(y*y**(-1/2)/y))/(y**7/y)*y/y**(1/4)*y/(y**(-3/2)/y))**(-18) assuming y is positive.
y**(-27/2)
Simplify ((d**(1/3))**(24/7)*(d*d**(-2/29))/d**(-2))**13 assuming d is positive.
d**(10751/203)
Simplify (i/(i*i*i*(i/i**(-5/2)*i)/i))**(-40)/(i**17*i*i**(-2/25)) assuming i is positive.
i**(5052/25)
Simplify (((r*r**4)/r*r/(r*r*r**(2/23)))**(1/13))**(1/55) assuming r is positive.
r**(67/16445)
Simplify (y*(y*y**(-11))/y)/(y/(y/(y**(2/11)*y*y*y)))*y*y**8*(y**(1/14)*y)/y assuming y is positive.
y**(-633/154)
Simplify ((k**(1/8)/k)/k)**(-41)/(k**(1/22)*k**(-1/37)) assuming k is positive.
k**(250245/3256)
Simplify (s/((s*(s*s**4*s)/s)/s)*s)**28*(s*s**13)/s*s**(5/4)/s assuming s is positive.
s**(-283/4)
Simplify (a**(-4)*a**(-3/4)*(a**2/a)**(-4/29))**44 assuming a is positive.
a**(-6237/29)
Simplify (d**(1/6))**(-1/15)/(d*d**(-1/2)*d**(3/4)) assuming d is positive.
d**(-227/180)
Simplify (z**0*z**5)/((z**(1/14)*z)/z**(-1/7)) assuming z is positive.
z**(53/14)
Simplify (h**(-2/9)/h**(-3/13))/(h**(-3))**(7/5) assuming h is positive.
h**(2462/585)
Simplify ((s**(-8))**34)**(3/14) assuming s is positive.
s**(-408/7)
Simplify (u/(u/(u*u*(u/u**(4/7)*u)/u)))**(-25)/(u*u**(-3/2)/u)**18 assuming u is positive.
u**(-236/7)
Simplify (q/(q/(q/(q*q*q*q/(q/q**(-14)))))*((q**(-3)/q*q)/q)/q)/((q*q/(q/((q*q/(q/(q/q**(-2/17))))/q)))/(q/((q/q**(-6))/q))) assuming q is positive.
q**(-2/17)
Simplify (b*b/b**(-23)*((b**28/b)/b)/b)/(b**(-22)/b*b**(-14)) assuming b is positive.
b**87
Simplify (((q*(q*q*q**(1/4)*q)/q)/q)/q*q)**(-20)/(((q*q**(-3/5))/q)/q*q*(((q**(-27)*q)/q)/q)/q*q) assuming q is positive.
q**(-82/5)
Simplify (s**(-4/5)/(s**5*s*s))/(s**(-2/49)/(s*s**(-6))) assuming s is positive.
s**(-3126/245)
Simplify ((u**(-16))**(4/7))**23 assuming u is positive.
u**(-1472/7)
Simplify (m*m**(-49)*m*m**(16/9)/m*m)**(-18) assuming m is positive.
m**814
Simplify (x**(-11)*x)**(2/47)*x**(-26)/(x/(x**(-7)*x)) assuming x is positive.
x**(-1571/47)
Simplify (r**(3/5)/r*r**(-3))**(1/10) assuming r is positive.
r**(-17/50)
Simplify (y**7)**(-4/9)/(y*y**0*y)**(2/35) assuming y is positive.
y**(-1016/315)
Simplify (((n*n**(1/8)*n*n)/((n*n*(n*n**10/n)/n)/n))/(n**(-2/29)*n*n**1))**(-4/15) assuming n is positive.
n**(681/290)
Simplify (g/g**(1/41))/g**(-25)*(g*g*g**(-8/5)/g)/(g/g**(2/9)) assuming g is positive.
g**(45383/1845)
Simplify ((w/w**2*w)/w*w)**(-34)/(w**(-2)/w**(1/6)) assuming w is positive.
w**(13/6)
Simplify (((i/((i/i**(-1)*i)/i))/((i/(i/i**(-7)))/i))/(i/(i**8/i)*i*i**(-4/3)))**(-43) assuming i is positive.
i**(-1720/3)
Simplify (((w*w**(-8/7)*w)/((w/(w*w**0*w)*w)/w))**(-3/8))**(-43) assuming w is positive.
w**(1677/56)
Simplify (g**(11/2)/g**(-2/7))/(g/((g*g**(7/3))/g))**(15/7) assuming g is positive.
g**(121/14)
Simplify (a/a**(-1/4)*a**15)/(a**(-4/7)*(a**14*a)/a) assuming a is positive.
a**(79/28)
Simplify i**7*i**(1/4)*i*(i*i**(-4))/i*i**(-12)*i assuming i is positive.
i**(-27/4)
Simplify (i/(i*i**(-15)))**(-3/22)*(i/(i/(i*i*(i/(i/(i/(((((i*i**(12/11))/i)/i)/i)/i)*i)))/i)))/(i**(-26)/i) assuming i is positive.
i**(657/22)
Simplify (((l*(l*l**27)/l)/l)/(l**41/l*l))**(-1/63) assuming l is positive.
l**(2/9)
Simplify (((d/d**(-8))/d)**(4/33))**(-1/56) assuming d is positive.
d**(-4/231)
Simplify (((g*g**1/g)/(g*g**(2/25)))**(15/7))**28 assuming g is positive.
g**(-24/5)
Simplify ((d**(-5))**(-34))**(4/19) assuming d is positive.
d**(680/19)
Simplify (r**(-6)/r)**39/((r*r/(r*r**(-1/8)))/r*r*r*r*r/(r**(2/5)/r)*r*r*r) assuming r is positive.
r**(-11229/40)
Simplify (((y**(-6))**(-1/63))**(1/37))**34 assuming y is positive.
y**(68/777)
Simplify p**(-1/16)/p**(-1)*(p**(-7/3)/p)/(p/(p*p/(p**(-1/6)*p)*p)) assuming p is positive.
p**(-59/48)
Simplify ((z/((z*z*z**(3/5)/z*z)/z))/z)**(-1/18)/(z/z**(1/5)*(z*z**(-12))/z) assuming z is positive.
z**(508/45)
Simplify s**10*s**(2/5)*s*s**(-23)/(s*s*s/(s/(s*s**(-21)*s)*s*s)) assuming s is positive.
s**(37/5)
Simplify d*d**9/d*d**(4/9)*d*(d*d**(2/9)/d)/((d/d**(-4))/d) assuming d is positive.
d**(20/3)
Simplify ((t**(1/2)/t)**(-35)*t/(t*t/t**(-1/2)*t*t*t)*t**(-1/3))**(8/9) assuming t is positive.
t**(304/27)
Simplify s**(-5)*s*s**(1/18)*((s*s/(s/((s**(2/9)/s)/s)*s))/s)**11 assuming s is positive.
s**(-69/2)
Simplify ((y**(1/9))**(11/6))**(2/127) assuming y is positive.
y**(11/3429)
Simplify ((s*s**13)/s)/(s/((s*((s/(s*s**(-27/5)/s*s))/s)/s)/s))*(s*s**(-4/7))**31 assuming s is positive.
s**(1004/35)
Simplify (r/((r/(r/(((r/r**(1/2))/r*r)/r)))/r)*r/(r/r**6)*(r*r/(r**(-4)/r)*r)/((r*r**1)/r))**(4/31) assuming r is positive.
r**2
Simplify (c*c*c*c*c**(1/4))**(-44)*c/c**(3/2)*c**(-9) assuming c is positive.
c**(-393/2)
Simplify (((m**(2/3)*m)**(-1/29))**(-3/29))**4 assuming m is positive.
m**(20/841)
Simplify (k/k**(-4/3)*k**(2/7)*k*(k**(-2/7)*k*k)**37)**(8/13) assuming k is positive.
k**(11264/273)
Simplify (b**5/(b/b**(-4))*b**(-4)*b**2)**(-11) assuming b is positive.
b**22
Simplify i*i*i*i**(-6)/i*i*i*i**9*i**11/i*i/(i/i**2) assuming i is positive.
i**19
Simplify ((r/r**(-2/11)*r*r**(2/5))/((r/(r**(-4)*r))/r**(-1/3)))**5 assuming r is positive.
r**(-289/33)
Simplify ((c/(c*c**(
|
{
"pile_set_name": "DM Mathematics"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.