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n 15253 is divided by 37?
9
Calculate the remainder when 14602 is divided by 242.
82
Calculate the remainder when 233822 is divided by 19485.
2
What is the remainder when 206399 is divided by 1002?
989
What is the remainder when 17236 is divided by 401?
394
What is the remainder when 291466 is divided by 22420?
6
What is the remainder when 16755 is divided by 1522?
13
What is the remainder when 6539 is divided by 1552?
331
Calculate the remainder when 196599 is divided by 651.
648
What is the remainder when 5212 is divided by 536?
388
What is the remainder when 4267 is divided by 4241?
26
Calculate the remainder when 134752 is divided by 134748.
4
Calculate the remainder when 82720 is divided by 172.
160
What is the remainder when 88108 is divided by 44049?
10
What is the remainder when 45936 is divided by 15271?
123
What is the remainder when 18929 is divided by 62?
19
Calculate the remainder when 2650 is divided by 86.
70
What is the remainder when 9013 is divided by 2902?
307
What is the remainder when 77525 is divided by 19378?
13
What is the remainder when 737983 is divided by 832?
831
Calculate the remainder when 247252 is divided by 14.
12
Calculate the remainder when 472364 is divided by 4072.
12
What is the remainder when 74718 is divided by 40?
38
What is the remainder when 10219 is divided by 10?
9
What is the remainder when 64278 is divided by 4942?
32
Calculate the remainder when 312 is divided by 132.
48
Calculate the remainder when 76733 is divided by 176.
173
What is the remainder when 3043 is divided by 34?
17
Calculate the remainder when 11473 is divided by 766.
749
What is the remainder when 6978 is divided by 2013?
939
Calculate the remainder when 542 is divided by 144.
110
Calculate the remainder when 1049 is divided by 94.
15
What is the remainder when 495363 is divided by 118?
117
Calculate the remainder when 34170 is divided by 5695.
0
What is the remainder when 3982 is divided by 34?
4
Calculate the remainder when 10594 is divided by 106.
100
What is the remainder when 30595 is divided by 129?
22
What is the remainder when 18180 is divided by 888?
420
Calculate the remainder when 11907 is divided by 5902.
103
What is the remainder when 1523 is divided by 1444?
79
What is the remainder when 155 is divided by 77?
1
What is the remainder when 138961 is divided by 19847?
32
Calculate the remainder when 564699 is divided by 705.
699
What is the remainder when 3693 is divided by 43?
38
Calculate the remainder when 1174 is divided by 1149.
25
Calculate the remainder when 50132 is divided by 6.
2
What is the remainder when 33263 is divided by 19?
13
Calculate the remainder when 18599 is divided by 715.
9
What is the remainder when 20746 is divided by 5103?
334
Calculate the remainder when 328173 is divided by 106.
103
Calculate the remainder when 4507 is divided by 32.
27
Calculate the remainder when 32575 is divided by 13.
10
What is the remainder when 43662 is divided by 4849?
21
What is the remainder when 10899 is divided by 247?
31
What is the remainder when 32005 is divided by 2673?
2602
Calculate the remainder when 10779 is divided by 82.
37
Calculate the remainder when 166 is divided by 147.
19
What is the remainder when 38079 is divided by 604?
27
What is the remainder when 8263 is divided by 119?
52
Calculate the remainder when 1781 is divided by 491.
308
Calculate the remainder when 3085 is divided by 321.
196
What is the remainder when 5897 is divided by 199?
126
Calculate the remainder when 119151 is divided by 180.
171
What is the remainder when 5500657 is divided by 10?
7
Calculate the remainder when 111796 is divided by 3726.
16
Calculate the remainder when 117546 is divided by 29385.
6
What is the remainder when 807638 is divided by 8?
6
Calculate the remainder when 157210 is divided by 18.
16
Calculate the remainder when 70301 is divided by 48.
29
What is the remainder when 51130 is divided by 2324?
2
Calculate the remainder when 4881 is divided by 16.
1
What is the remainder when 81999 is divided by 26?
21
Calculate the remainder when 8308 is divided by 2754.
46
Calculate the remainder when 18164 is divided by 4485.
224
What is the remainder when 2305 is divided by 405?
280
What is the remainder when 153538 is divided by 505?
18
What is the remainder when 48369 is divided by 220?
189
Calculate the remainder when 552 is divided by 197.
158
Calculate the remainder when 432591 is divided by 152.
151
What is the remainder when 17611 is divided by 3520?
11
Calculate the remainder when 11353 is divided by 264.
1
What is the remainder when 15156 is divided by 433?
1
Calculate the remainder when 93921 is divided by 3029.
22
Calculate the remainder when 82511 is divided by 101.
95
What is the remainder when 31149 is divided by 31147?
2
What is the remainder when 103774 is divided by 24?
22
Calculate the remainder when 4041 is divided by 1104.
729
Calculate the remainder when 17046 is divided by 290.
226
What is the remainder when 26511 is divided by 4287?
789
Calculate the remainder when 10181 is divided by 2033.
16
What is the remainder when 4192 is divided by 417?
22
What is the remainder when 4056 is divided by 173?
77
Calculate the remainder when 160865 is divided by 307.
304
What is the remainder when 769 is divided by 179?
53
What is the remainder when 2579 is divided by 212?
35
Calculate the remainder when 184259 is divided by 5.
4
What is the remainder when 5292 is divided by 79?
78
Calculate the remainder when 14328 is divided by 126.
90
What is the remainder when 27494 is divided by 48?
38
What is the remainder when 163044 is divided by 51?
48
Calculate the remainder when 14699 is divided by 312.
35
What is the remainder when 151510 is divided by 273?
268
What is the remainder when 55654 is divided by 13897?
66
Calculate the remainder when 1263494 is divided by 31.
27
Calculate the remainder when 46098 is divided by 15348.
54
What is the remainder when 67029 is divided by 168?
165
What is the remainder when 115813 is divided by 2316?
13
Calculate the remainder when 4578 is divided by 93.
21
What is the remainder when 48393 is divided by 2545?
38
Calculate the remainder when 14149 is divided by 14129.
20
Calculate the remainder when 42482 is divided by 145.
142
What is the remainder when 1211 is divided by 5?
1
What is the remainder when 1264 is divided by 655?
609
What is the remainder when 2401 is divided by 67?
56
What is the remainder when 3843 is divided by 295?
8
What is the remainder when 35512 is divided by 1112?
1040
Calculate the remainder when 31171 is divided by 215.
211
Calculate the remainder when 380959 is divided by 6.
1
What is the remainder when 127545 is divided by 32?
25
Calculate the remainder when 6792 is divided by 29.
6
What is the remainder when 5804923 is divided by 23?
22
Calculate the remainder when 146239 is divided by 320.
319
Calculate the remainder when 57849 is divided by 203.
197
Calculate the remainder when 234569 is divided by 24.
17
What is the remainder when 152182 is divided by 34?
32
Calculate the remainder when 247931 is divided by 106.
103
Calculate the remainder when 2195762 is divided by 398.
394
Calculate the remainder when 130624 is divided by 342.
322
What is the remainder when 3192833 is divided by 4?
1
What is the remainder when 37602 is divided by 100?
2
Calculate the remainder when 55338 is divided by 14.
10
Calculate the remainder when 370838 is divided by 771.
758
Calculate the remainder when 51145 is divided by 125.
20
What is the remainder when 18468 is divided by 922?
28
Calculate the remainder when 7093 is divided by 129.
127
Calculate the remainder when 26882 is divided by 22.
20
What is the remainder when 12106 is divided by 3006?
82
What is the remainder when 38525 is divided by 6419?
11
Calculate the remainder when 4061 is divided by 1960.
141
Calculate the remainder when 191665 is divided by 320.
305
Calculate the remainder when 9712 is divided by 77.
10
Calculate the remainder when 64156 is divided by 203.
8
Calculate the remainder when 171613 is divided by 85.
83
Calculate the remainder when 55365 is divided by 749.
688
What is the remainder when 11058 is divided by 5365?
328
What is the remainder when 6679 is divided by 3327?
25
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
(k**(-1)/(k**(-6/7)/k))**(-34)/((k/(k/(k/k**2)))**12)**(1/43) assuming k is positive.
k**(-8688/301)
Simplify (z**(-4)/(z*z**(1/13)/z))**(2/11)/((z**(5/3)*z/(z/(z*z**(2/5)*z)))/(z*z**(-2/3))**(-14)) assuming z is positive.
z**(-20323/2145)
Simplify ((m**(-1/3))**(-1/6)*((m*m**6*m)/m)/m**0)/((m**(-1))**(3/5)*(m/m**0*m)**(2/65)) assuming m is positive.
m**(1777/234)
Simplify ((v**(-7)/v)/(v*(v**(-6/7)/v)/v*v))**(-38)*((v**0/v)/(v*v*v**6))/(v**3*((v**(1/3)/v)/v)/v) assuming v is positive.
v**(5504/21)
Simplify ((o*o**3)/o**(-4))**46*o/(o/o**6)*o**(-1)*(o*o**4/o)/(o**(1/2)/o*o) assuming o is positive.
o**(753/2)
Simplify (y*y**(-1))**48/(y/y**2*y**(-7))*((y**(6/13)/y*y)/y*y**(3/2))**(-2/5) assuming y is positive.
y**(99/13)
Simplify (u/(u*u**(-8/13)))**(-40)/(u/(u/((((u*u*u*u/(u**(-1/13)*u*u*u)*u)/u*u)/u)/u)))**(-29) assuming u is positive.
u**(-291/13)
Simplify (a/a**(-4)*(a/(a/a**(-4/7)))/a)/(a/(a**(1/3)*a)*a**(-6)*a*a)*((a/(((a*a**(-3))/a)/a))/a**(-3/7))**(-17) assuming a is positive.
a**(-1775/21)
Simplify ((n/(n**(-2)/n*n)*n)/n**(-2)*(n/n**(4/3)*n)/(n*n/(n*n*n**(-6))))/((n*n**1*n*n)**(1/29)/(n**(-2/3)*n**(-1)/n)) assuming n is positive.
n**(-62/29)
Simplify ((r*r/(r*r*r**(2/3)*r)*r)**(-46))**(3/16)*(r**(5/4)/(r**8/r))**(-49) assuming r is positive.
r**(575/2)
Simplify ((a/(a/(a**(-24)*a))*a*a*a/a**(-11))/(a**24*a**(-7/4)))**(2/43) assuming a is positive.
a**(-125/86)
Simplify (w/w**(-4)*w*w**(1/3)/w*w*w)/((w/w**2)/(w/(w*w/w**(-1/5))))*((w**(-2/7))**(2/91))**(-3/7) assuming w is positive.
w**(477293/66885)
Simplify (l**(-1/2)*l/(l/(l**(-2)/l))*(l**(3/8)*l)/l**(-3))/(l*l**(-3)*l/((l**5/l*l)/l)*l*(l/(l*l**(3/8)))/(l*l/l**(-1/2))) assuming l is positive.
l**(31/4)
Simplify n**(2/9)*n**5*n**2*n/(n/n**(-4/3))*(n**1/n*n)**(-2/37)*((n/n**(5/4))/n)/n*n**(-3/5) assuming n is positive.
n**(19879/6660)
Simplify ((p**(-1/5)/p*p/(p/((p/(p*p/p**(-18)))/p)))/(p**23)**(-41))**(-8) assuming p is positive.
p**(-36872/5)
Simplify (j**(-3/13)/(j*j/(j*j**(-4/3)*j)))**44/((((j*j**(2/3)*j)/j)/((j*j**9)/j))/((j*(j*j/(j*j**(2/21)))/j*j)/(j/(j/j**(-1/11))))) assuming j is positive.
j**(-59551/1001)
Simplify ((w**(2/37)*w*w*w)**8/(w**(2/17)*w**(-26)))**(-33) assuming w is positive.
w**(-1044384/629)
Simplify ((x/x**34*x**(-14/5))/((x**(8/9)*x)/x*x**(-28/5)))**40 assuming x is positive.
x**(-11192/9)
Simplify (u/u**(-30)*u**(-7/5)/u*u)/(u*u**1*((u/(u*u**(3/5)))/u)/u) assuming u is positive.
u**(151/5)
Simplify v**(-2/11)*v/(v**(-1)*v)*v**6*v**3*v*((v**(-2/7)/v)**(-25))**(-13) assuming v is positive.
v**(-31342/77)
Simplify (((q*q**4*(q/(((q*q**(-1/5))/q)/q))/q*q)**(-50))**(-28))**(1/25) assuming q is positive.
q**(2016/5)
Simplify ((s**(-2/9))**(-39)*(s**0)**(-28))**(-27/5) assuming s is positive.
s**(-234/5)
Simplify (q**(-2/7))**(2/13)*q**(-4)/((q/(q/(q**2*q)))/q*q)*(q*q/(q**(1/4)*q))**(2/9)*(q*q/(((q*(q**4*q)/q)/q*q)/q))/q**(-2) assuming q is positive.
q**(-3755/546)
Simplify x**(2/7)/(x**(-14)*x)*(x*x/x**(-29)*x)**(-7) assuming x is positive.
x**(-1475/7)
Simplify ((f**(-1/4))**49/(f*f**(1/2))**(-47/3))/((f**(-1/7)/(f**(1/7)/f))/(f**(2/11)*f/f**(-2/5))) assuming f is positive.
f**(18661/1540)
Simplify ((i**0)**23*i**(-1)/(i*i/(i*i**(-3/5)*i)))/((i*i*i**(-1/7)*i)/(i/i**(-3/5)*i))**(3/14) assuming i is positive.
i**(-811/490)
Simplify (s*s/(s/(s/s**(1/4))*s))**(-1/34)*(s*s*s/(s**(-1)/s))**(-49)*(s**1)**16/(s**(-1/3)*s*s**(-6/7)) assuming s is positive.
s**(-653543/2856)
Simplify ((q**(-2/3)*q*q**(5/6)*q)/(q/(q*q**1)*q)**(-1/57))/((q/(q*q/(q*q/q**(2/3))))**(-9)*q*q*q/q**5*q*q/(q*q*q**(-2))*q) assuming q is positive.
q**(25/6)
Simplify ((v*(v*v**4/v)/v)/(v/(v*v**0)))**(-6/7)*(v**(-1/3)/((v**(1/10)/v)/v))/((v*v**5*v)/v**5) assuming v is positive.
v**(-811/210)
Simplify ((u*u**0)**9*(u/u**2*u)**(-2/53))/((((u*u**(-1/5))/u)/u**(-4/9))/(u**(-4)/u*u/(u*u**0))) assuming u is positive.
u**(169/45)
Simplify (((g/g**1*g)**35*g**(4/3)/(g*g/(g/(g*g/((g/(g/g**(2/3))*g)/g*g*g)))))**(4/17))**(37/4) assuming g is positive.
g**(1332/17)
Simplify ((y**(-2/83)*y/y**(5/11))/((y/y**1)/(y/(y*y**0*y))))**(-3/20) assuming y is positive.
y**(1311/18260)
Simplify (((y**(-6/13)*y)/y**10)/(y/(y*y**(1/8)*y*y*y)*y**(3/5)/y))**34 assuming y is positive.
y**(-52479/260)
Simplify i/i**5*i*i**(-6)*i*(i/(i*i**5/i*i))/i**(-2/9)*(i**1)**(-1/43)*(i*i*i/i**(-1/2)*i)**(3/16) assuming i is positive.
i**(-148079/12384)
Simplify ((y**(-1/2)/y)/y**(-4/7))/(y**0)**(-30)*y*(y*y**(3/7)*y)/y*y*y*y**(-1/2)*(y**0)**(4/5) assuming y is positive.
y**3
Simplify ((((p**(-2))**(1/4))**(-1/13))**(1/13))**(-14) assuming p is positive.
p**(-7/169)
Simplify (((a*a**(-3/2))/a)**(-34)/((a**(-2/63)/a)/(a**(-12)/a)))**(-33) assuming a is positive.
a**(-27049/21)
Simplify ((d**11/d*d**(-2/3)/d)/(d*(d**(-3)/d)/d*d**(10/9)/d))**(7/4) assuming d is positive.
d**(385/18)
Simplify (l*l*l**2/l)**30/(l**(-1/4)*l)**19*(l**(-2/3)/(l*l**(-3)))**(17/4) assuming l is positive.
l**(977/12)
Simplify b**(9/4)*b**(-17)*(b/(b**(-1/7)*b*b))**(12/11) assuming b is positive.
b**(-4831/308)
Simplify (h**(3/7)*h**(-3)/h*h/(h*h**0/h)*h*h**(-1/4))/(h**5/h**3)**27 assuming h is positive.
h**(-1563/28)
Simplify (l**(5/2)/(l*l**6*l)*l*l**(-6)*l*l**3)/((l**0)**(2/157)*(l*l/(l**(-2/5)*l))/(l*l**2)) assuming l is positive.
l**(-49/10)
Simplify (c*c**0*c*c*c)**(6/11)*c**(-1/6)*c**(-2/17)*c*(c**(-3/10)/((c/(c**(-4)*c))/c))**17 assuming c is positive.
c**(-149233/2805)
Simplify (y**(-12)*y**(1/5))**(2/79)/((y/y**0)**(-16)/(y/(y**0/y))**(3/47)) assuming y is positive.
y**(293864/18565)
Simplify (s/(s*s**(-1/8))*s*s*s**14*s**(-3/10)/s**(2/41))**(-3/22) assuming s is positive.
s**(-77619/36080)
Simplify n*n**(4/27)*n*n**(2/115)*(n**(-41)/n)/n*n*n**(-2/89) assuming n is positive.
n**(-11014264/276345)
Simplify (h**(3/16)*h)/h**(-1/30)*(h*h**(-16))**(6/7) assuming h is positive.
h**(-19549/1680)
Simplify (g*(g**(1/3)*g)/g)**50*((g**(-1)*g)/g*g)**26*(g**2*g)/(g/(g*g/g**(-6)))*(g*g**(-1/2))**19 assuming g is positive.
g**(517/6)
Simplify ((s*(s/(s**(-1)*s))/s)**(-1/20)/(s**0)**(-10/3))/((s**(-1)/s)**1/(s**(1/4))**(-15)) assuming s is positive.
s**(-9/5)
Simplify ((l*l/(l*(l*l**(-1))/l*l)*l)**(-3)/(l**(1/4)*l*(l/(l**(-8)/l))/l))/(l**(-1/7)/(l**(-2/11)/l)*l**(4/3)/l**(-1/2)) assuming l is positive.
l**(-17669/924)
Simplify ((o**(-1)/o)**(34/7)*(o/o**4)**(-47))**(-34) assuming o is positive.
o**(-31246/7)
Simplify (j**(-2/3)/j**(-7))**(2/105)/(((j*j**(-2/5))/j)**3)**(-3/5) assuming j is positive.
j**(-944/1575)
Simplify (d/((d/((d**(-3/8)/d*d)/d*d))/d)*d**(-2/11))/(d**3/d**5)*(d*d*d*d**(2/19)*d*d)/d**3*d**(-8)*d*(d*d**4/d)/d*d assuming d is positive.
d**(2589/1672)
Simplify m**(-3/2)/(m/m**(-2/11))*m**(-5)*m**6*m**(1/2)/(m*(((m/m**(2/19))/m*m)/m*m)/m)*m/m**(-3/2)*m*(m*((m**(4/5)*m)/m)/m)/m assuming m is positive.
m**(2557/2090)
Simplify ((v*v**(-1))**(1/29))**19/((v*v**(-2)*v)/v**(1/2))**41 assuming v is positive.
v**(41/2)
Simplify (p**18*p**(-6/5))/(p**1)**(2/75) assuming p is positive.
p**(1258/75)
Simplify (((i**(-1/4)*i)/i)**48)**(-46)/((i**(-1))**(-2/19))**(-43) assuming i is positive.
i**(10574/19)
Simplify ((t*t/((t/t**(2/17))/t*t))/t)/(t*t*t*t**31)*t**8/t**(-3/17) assuming t is positive.
t**(-437/17)
Simplify ((n**0*n*n**(-8/5))/(n**(-1/2)/(n**6*n*n)))/((n*n*(n/((n/(n**(-8)/n))/n)*n*n)/n*n*n/n**(-3))/(((n/(n**5/n))/n)/(n*n**4))) assuming n is positive.
n**(-11/10)
Simplify m**8*m**(-1/8)*m**(1/9)/(m/(m/(m*m**(-1/13)*m*m)))*m**(2/5)/m**6*((m*m/((m/(m*m**(-2/7)))/m)*m)/m)**(-5) assuming m is positive.
m**(-462191/32760)
Simplify (((a*a/(a**3*a))/(a/a**(-2/15)))/(a**(-2/11)/(a/(a*a**(1/6)))))/((a*a/(a**(-1)*a)*a*a)**(-19)*(a**(-1))**(41/4)) assuming a is positive.
a**(18289/220)
Simplify ((g*g**(6/11))/(g**(-3/4)/g))**(1/4)/((g*g**5*g)/g**(1/4)*(g*g/(g/g**0*g)*g)**13) assuming g is positive.
g**(-3331/176)
Simplify (n*n**(31/5)*n)**(-34)*n/(n/(n/n**(-24)))*n**(-40) assuming n is positive.
n**(-1469/5)
Simplify ((i**(-4/15)*i/i**11*i)/(i*i**(-1/9)/i*i)**(-10))**(2/17) assuming i is positive.
i**(-2/45)
Simplify ((f**(2/13))**(-11/5))**(-1/46)*(f**(-2/15)/(f/(f**(-2/11)/f)))/(f**(-7)*f/(((f/f**(-1/6)*f)/f)/f)) assuming f is positive.
f**(76151/19734)
Simplify ((d**(-2/65)*d/(d/d**39))**8)**(-2/13) assuming d is positive.
d**(-40528/845)
Simplify ((v/v**(-1/7))/(v/(v
|
{
"pile_set_name": "DM Mathematics"
}
|
-282
What is -1001.432723 rounded to 1 dp?
-1001.4
Round 3.9454349 to 2 dps.
3.95
Round 0.000486806669 to three decimal places.
0
What is 47463001 rounded to the nearest 1000000?
47000000
Round -2.031514321 to five decimal places.
-2.03151
What is -3.37946167 rounded to four dps?
-3.3795
What is -4622203.5 rounded to the nearest one hundred thousand?
-4600000
Round -6760060630 to the nearest one million.
-6760000000
Round 0.000021772404 to six decimal places.
0.000022
Round -0.0135195673 to five decimal places.
-0.01352
What is -293.134972 rounded to the nearest integer?
-293
Round -592462400 to the nearest one million.
-592000000
Round -2.143440605 to 2 decimal places.
-2.14
Round 0.5709822413 to five dps.
0.57098
Round 0.00093696599 to 5 dps.
0.00094
Round -0.00035855443 to six decimal places.
-0.000359
Round -0.089078266 to two dps.
-0.09
What is -14506778.29 rounded to the nearest 10000?
-14510000
Round -7391897.3 to the nearest 100000.
-7400000
Round -2275.340789 to 2 dps.
-2275.34
Round 33255411 to the nearest 10000.
33260000
Round -0.0148745551 to 6 dps.
-0.014875
Round 14.4212404 to 2 decimal places.
14.42
What is 0.02190808864 rounded to five decimal places?
0.02191
What is 136735729.29 rounded to the nearest 10000?
136740000
Round -0.028796572958 to six decimal places.
-0.028797
What is 2332179.6 rounded to the nearest 100000?
2300000
Round -0.00136350959 to 7 decimal places.
-0.0013635
What is -1469320300.1 rounded to the nearest 10000?
-1469320000
Round -169.4379658 to one decimal place.
-169.4
Round -0.000001603568087 to six decimal places.
-0.000002
Round -1604.68659 to the nearest integer.
-1605
Round 70609383.4 to the nearest one hundred thousand.
70600000
Round 11588.28419 to the nearest ten.
11590
Round 39695.6242 to the nearest 100.
39700
Round -6629863.3 to the nearest 1000000.
-7000000
What is 401230.9 rounded to the nearest one hundred thousand?
400000
Round -5610684.7 to the nearest one thousand.
-5611000
What is -1997.2748 rounded to the nearest 100?
-2000
Round -2.66562981 to 2 decimal places.
-2.67
Round -0.0867242892 to 5 dps.
-0.08672
What is 0.0005099405066 rounded to five decimal places?
0.00051
What is 0.29004175 rounded to four decimal places?
0.29
What is 0.1075517359 rounded to five decimal places?
0.10755
Round 1355720662 to the nearest ten thousand.
1355720000
What is -231.4515282 rounded to the nearest ten?
-230
Round 0.435840141 to 3 dps.
0.436
What is -0.0025054253 rounded to 5 dps?
-0.00251
What is 0.00369709121 rounded to 6 decimal places?
0.003697
What is -8.338217236 rounded to 4 dps?
-8.3382
What is -0.00106374885 rounded to seven dps?
-0.0010637
Round -637.692121 to the nearest 10.
-640
What is 16310598700 rounded to the nearest 1000000?
16311000000
What is 2800023.866 rounded to the nearest 100000?
2800000
What is -0.00004508120691 rounded to 6 decimal places?
-0.000045
What is -8.1810579 rounded to the nearest integer?
-8
Round 12907251210 to the nearest 1000000.
12907000000
Round 26.59659204 to three decimal places.
26.597
Round 0.002683444741 to 7 decimal places.
0.0026834
What is 0.0000062993663 rounded to 7 dps?
0.0000063
Round -0.0407434771 to six dps.
-0.040743
What is -41600.9093 rounded to the nearest integer?
-41601
Round 6316.67888 to the nearest 1000.
6000
Round 1.1639093 to three decimal places.
1.164
Round -1123109929 to the nearest one hundred thousand.
-1123100000
Round 790709093.3 to the nearest 10000.
790710000
Round -0.000061120259 to 6 decimal places.
-0.000061
What is -13523.18375 rounded to 1 dp?
-13523.2
What is -0.00215221173 rounded to five dps?
-0.00215
What is -652.7376974 rounded to 1 dp?
-652.7
What is -0.358921905 rounded to 4 dps?
-0.3589
Round 3639820 to the nearest ten thousand.
3640000
What is 27346.1144 rounded to the nearest 1000?
27000
What is 55273956.81 rounded to the nearest 1000?
55274000
What is 0.000000161137847 rounded to 7 decimal places?
0.0000002
Round -267649284 to the nearest one hundred thousand.
-267600000
What is 2.059276 rounded to the nearest 10?
0
Round 6116.45807 to the nearest 1000.
6000
Round 547602.4 to the nearest one thousand.
548000
What is -0.00151687979 rounded to 4 dps?
-0.0015
Round -15728120580 to the nearest 100000.
-15728100000
Round -136437.275 to the nearest 100000.
-100000
Round -2085915.862 to the nearest 100.
-2085900
Round -15770233700 to the nearest one million.
-15770000000
Round -13805473.8 to the nearest 1000.
-13805000
Round 153.288028 to two dps.
153.29
What is -0.7471895127 rounded to 1 decimal place?
-0.7
What is -5345.03444 rounded to the nearest one thousand?
-5000
Round 448167220 to the nearest one million.
448000000
Round 6.9583055 to the nearest integer.
7
Round 297176.788 to the nearest 10.
297180
Round 1556899.1 to the nearest one million.
2000000
Round -52337044.9 to the nearest 1000000.
-52000000
What is -17.14362531 rounded to 0 decimal places?
-17
What is 1292784267.4 rounded to the nearest one million?
1293000000
What is -103986.32334 rounded to the nearest 10000?
-100000
Round 45.8061113 to 3 dps.
45.806
What is 152354711.7 rounded to the nearest one million?
152000000
What is -5693692.7 rounded to the nearest one hundred thousand?
-5700000
Round 7848146940 to the nearest one hundred thousand.
7848100000
Round -11949244 to the nearest one million.
-12000000
What is 4219947.605 rounded to the nearest one thousand?
4220000
What is -0.00000417958048 rounded to 7 dps?
-0.0000042
What is 7264.138082 rounded to the nearest 10?
7260
Round -162066 to the nearest 100000.
-200000
What is -0.000014182024 rounded to seven decimal places?
-0.0000142
What is 6.782311 rounded to one dp?
6.8
Round -0.000249912015 to 6 decimal places.
-0.00025
What is -475821877.8 rounded to the nearest one hundred thousand?
-475800000
Round -0.00000841337566 to seven decimal places.
-0.0000084
What is 0.00544214949 rounded to seven dps?
0.0054421
What is -0.0000057706587 rounded to six decimal places?
-0.000006
What is -26325.213 rounded to the nearest one thousand?
-26000
Round 2157.005515 to the nearest one hundred.
2200
What is 9071462800 rounded to the nearest one million?
9071000000
Round -26.25726809 to 2 dps.
-26.26
What is 0.00001953581 rounded to seven dps?
0.0000195
Round 122.105828 to one dp.
122.1
What is -243.902384 rounded to one decimal place?
-243.9
What is -6346.33132 rounded to the nearest 1000?
-6000
What is 251.845437 rounded to the nearest integer?
252
Round 293889101 to the nearest ten thousand.
293890000
Round 98412.0014 to the nearest 10.
98410
Round -0.12834793 to 3 decimal places.
-0.128
What is 0.0001067007778 rounded to six decimal places?
0.000107
Round -0.0313200392 to four dps.
-0.0313
Round 687280.8562 to the nearest 100.
687300
What is -107.75742 rounded to 2 dps?
-107.76
What is 143.8663214 rounded to two decimal places?
143.87
What is 0.00000091626807 rounded to 7 decimal places?
0.0000009
What is -1002.659 rounded to the nearest one hundred?
-1000
Round 0.5104367039 to 2 dps.
0.51
Round 0.08651441 to 3 dps.
0.087
Round -120282.0519 to the nearest ten thousand.
-120000
Round -0.1017156302 to 2 decimal places.
-0.1
What is -151.0312288 rounded to the nearest 10?
-150
What is 1522.72532 rounded to the nearest ten?
1520
What is -260.103343 rounded to one dp?
-260.1
What is -8372.83 rounded to the nearest 100000?
0
Round 26.53344484 to one decimal place.
26.5
Round 2993708.07 to the nearest one thousand.
2994000
What is 8641565000 rounded to the nearest one million?
8642000000
What is 176.361236 rounded to one dp?
176.4
What is 122382.689 rounded to the nearest 100?
122400
What is 19795.5789 rounded to the nearest 100?
19800
What is -4254278.3 rounded to the nearest one hundred thousand?
-4300000
Round 0.000264344197 to five dps.
0.00026
Round 10309673680 to the nearest 1000000.
10310000000
Round -7178.79532 to one dp.
-7178.8
What is 3338.0427 rounded to the nearest one thousand?
3000
What is 45219412 rounded to the nearest one hundred thousand?
45200000
Round 260.441185 to 1 decimal place.
260.4
What is -0.00001102696435 rounded to 5 dps?
-0.00001
What is 13098.9708 rounded to zero dps?
13099
What is -9.529267247 rounded to 2 dps?
-9.53
Round -5462581.41 to the nearest ten thousand.
-5460000
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
-27562?
-b**3 - b**2 - 4421*b - 784
What is the k'th term of -391, -718, -961, -1078, -1027, -766, -253?
7*k**3 - 376*k - 22
What is the v'th term of -843917, -1687810, -2531703?
-843893*v - 24
What is the u'th term of 14432, 14641, 14926, 15281, 15700, 16177, 16706, 17281?
-u**3 + 44*u**2 + 84*u + 14305
What is the p'th term of -104, 260, 624?
364*p - 468
What is the g'th term of 93007, 186009, 279011, 372013?
93002*g + 5
What is the b'th term of 14861, 118760, 400749, 949874, 1855181, 3205716, 5090525?
14841*b**3 - b**2 + 15*b + 6
What is the w'th term of 514901, 515049, 515197, 515345?
148*w + 514753
What is the q'th term of 16860, 16997, 17144, 17307, 17492, 17705?
q**3 - q**2 + 133*q + 16727
What is the v'th term of -110083, -110275, -110467, -110659, -110851?
-192*v - 109891
What is the p'th term of 116985915, 233971833, 350957751?
116985918*p - 3
What is the m'th term of -1257, -4672, -10267, -18042, -27997, -40132, -54447?
-1090*m**2 - 145*m - 22
What is the p'th term of -179862, -359711, -539560, -719409, -899258, -1079107?
-179849*p - 13
What is the j'th term of 27535, 54946, 82357, 109768, 137179, 164590?
27411*j + 124
What is the m'th term of -5342921, -10685854, -16028811, -21371798, -26714821, -32057886, -37400999, -42744166?
-m**3 - 6*m**2 - 5342908*m - 6
What is the k'th term of -176693, -354515, -532337, -710159, -887981, -1065803?
-177822*k + 1129
What is the g'th term of -34823, -69518, -104149, -138716?
32*g**2 - 34791*g - 64
What is the a'th term of 1414443, 2828886, 4243333, 5657790, 7072263, 8486758, 9901281?
a**3 - 4*a**2 + 1414448*a - 2
What is the d'th term of -364969541, -364969542, -364969543?
-d - 364969540
What is the q'th term of -217031, -434235, -651439, -868643?
-217204*q + 173
What is the n'th term of 953379, 953399, 953413, 953421?
-3*n**2 + 29*n + 953353
What is the b'th term of -2580, -5149, -7730, -10323, -12928, -15545?
-6*b**2 - 2551*b - 23
What is the c'th term of -2664, -9488, -20484, -35652, -54992?
-2086*c**2 - 566*c - 12
What is the u'th term of 34512889, 69025777, 103538665, 138051553, 172564441, 207077329?
34512888*u + 1
What is the t'th term of -69, 57, 13, -201?
-85*t**2 + 381*t - 365
What is the s'th term of -31070, -31023, -30980, -30941, -30906?
-2*s**2 + 53*s - 31121
What is the t'th term of -3803071, -7606129, -11409191, -15212257?
-2*t**2 - 3803052*t - 17
What is the z'th term of -72297, -144569, -216807, -289017, -361205, -433377, -505539?
-z**3 + 23*z**2 - 72334*z + 15
What is the q'th term of -7773, -7807, -7841, -7875, -7909, -7943?
-34*q - 7739
What is the f'th term of 1072, 2065, 3120, 4261, 5512, 6897?
4*f**3 + 7*f**2 + 944*f + 117
What is the b'th term of 115, 572, 1373, 2518, 4007, 5840?
172*b**2 - 59*b + 2
What is the p'th term of -789, 270, 2039, 4518, 7707?
355*p**2 - 6*p - 1138
What is the v'th term of -914950369, -914950368, -914950367, -914950366, -914950365?
v - 914950370
What is the s'th term of 2505, 5105, 9439, 15507, 23309, 32845, 44115?
867*s**2 - s + 1639
What is the u'th term of 31398307, 62796623, 94194939, 125593255?
31398316*u - 9
What is the f'th term of -839711, -839633, -839555?
78*f - 839789
What is the z'th term of -298165, -594784, -891403, -1188022?
-296619*z - 1546
What is the o'th term of 4356, 2128, -92, -2304, -4508?
4*o**2 - 2240*o + 6592
What is the c'th term of -1675, -6584, -14753, -26182, -40871?
-1630*c**2 - 19*c - 26
What is the p'th term of -1667287, -1667327, -1667367, -1667407, -1667447, -1667487?
-40*p - 1667247
What is the q'th term of -1040, -863, -552, -107, 472?
67*q**2 - 24*q - 1083
What is the s'th term of -251, -322, -407, -518, -667, -866, -1127, -1462?
-2*s**3 + 5*s**2 - 72*s - 182
What is the n'th term of 136223, 136445, 136667, 136889, 137111?
222*n + 136001
What is the m'th term of 446524, 893065, 1339606?
446541*m - 17
What is the f'th term of 6659, 24674, 54689, 96710, 150743, 216794, 294869, 384974?
f**3 + 5994*f**2 + 26*f + 638
What is the n'th term of -275612, -551223, -826834, -1102445?
-275611*n - 1
What is the r'th term of 130507581, 261015162, 391522743, 522030324, 652537905?
130507581*r
What is the o'th term of 30, 125, 436, 1107, 2282?
24*o**3 - 36*o**2 + 35*o + 7
What is the i'th term of 352779, 705443, 1058111, 1410783, 1763459, 2116139?
2*i**2 + 352658*i + 119
What is the n'th term of 578759868, 578759869, 578759870, 578759871?
n + 578759867
What is the z'th term of 236019, 236662, 237303, 237942, 238579, 239214?
-z**2 + 646*z + 235374
What is the j'th term of 53471, 53534, 53635, 53774, 53951, 54166, 54419?
19*j**2 + 6*j + 53446
What is the b'th term of -12175, -13092, -14009?
-917*b - 11258
What is the i'th term of -1086, -853, -214, 1035, 3098, 6179, 10482, 16211?
34*i**3 - i**2 - 2*i - 1117
What is the r'th term of 251889, 248708, 243407, 235986, 226445, 214784, 201003?
-1060*r**2 - r + 252950
What is the h'th term of 178974, 357940, 536888, 715812, 894706, 1073564, 1252380, 1431148?
-h**3 - 3*h**2 + 178982*h - 4
What is the w'th term of 777205, 777200, 777187, 777160, 777113, 777040, 776935?
-w**3 + 2*w**2 - 4*w + 777208
What is the m'th term of -22180, -22285, -22512, -22903, -23500, -24345?
-7*m**3 - 19*m**2 + m - 22155
What is the z'th term of 144759511, 289519023, 434278537, 579038053, 723797571, 868557091, 1013316613?
z**2 + 144759509*z + 1
What is the b'th term of 6894, 6395, 5564, 4401, 2906?
-166*b**2 - b + 7061
What is the w'th term of 83491, 83914, 85035, 87196, 90739, 96006, 103339, 113080?
57*w**3 + 7*w**2 + 3*w + 83424
What is the g'th term of -39414, -39367, -39260, -39069, -38770, -38339?
4*g**3 + 6*g**2 + g - 39425
What is the c'th term of 5700475, 5700477, 5700479, 5700481?
2*c + 5700473
What is the r'th term of -103334407, -103334408, -103334409, -103334410, -103334411?
-r - 103334406
What is the q'th term of -11630632, -23261275, -34891920, -46522567?
-q**2 - 11630640*q + 9
What is the m'th term of -80785367, -80785369, -80785371, -80785373, -80785375?
-2*m - 80785365
What is the w'th term of 2217, 8679, 19389, 34347?
2124*w**2 + 90*w + 3
What is the t'th term of -8785807, -17571615, -26357423, -35143231, -43929039?
-8785808*t + 1
What is the v'th term of -3629, -7738, -11859, -15998, -20161?
-v**3 - 4102*v + 474
What is the y'th term of -2661666, -2661678, -2661694, -2661714, -2661738, -2661766?
-2*y**2 - 6*y - 2661658
What is the q'th term of -3531888, -7063770, -10595652, -14127534, -17659416, -21191298?
-3531882*q - 6
What is the r'th term of 145, -3265, -10211, -20687, -34687?
r**3 - 1774*r**2 + 1905*r + 13
What is the y'th term of 578562, 2314123, 5206740, 9256425, 14463190, 20827047, 28348008?
2*y**3 + 578516*y**2 - y + 45
What is the c'th term of 1354057, 2708110, 4062163, 5416216, 6770269?
1354053*c + 4
What is the n'th term of -2471, -2915, -3657, -4697, -6035, -7671?
-149*n**2 + 3*n - 2325
What is the y'th term of -66557, -133118, -199679, -266240?
-66561*y + 4
What is the g'th term of 2608915, 2608950, 2608985, 2609020, 2609055, 2609090?
35*g + 2608880
What is the f'th term of -1049, -2253, -3551, -4937, -6405?
f**3 - 53*f**2 - 1052*f + 55
What is the a'th term of -6893, -13849, -20939, -28235, -35809, -43733, -52079?
-12*a**3 + 5*a**2 - 6887*a + 1
What is the t'th term of -374856, -749939, -1125028, -1500123, -1875224, -2250331?
-3*t**2 - 375074*t + 221
What is the b'th term of -326076, -652157, -978246, -1304343, -1630448, -1956561?
-4*b**2 - 326069*b - 3
What is the i'th term of -122855629, -122855630, -122855631, -122855632?
-i - 122855628
What is the t'th term of 587, 644, 611, 446, 107, -448, -1261?
-7*t**3 - 3*t**2 + 115*t + 482
What is the a'th term of 349225, 348490, 347273, 345580, 343417, 340790, 337705?
a**3 - 247*a**2 - a + 349472
What is the x'th term of 8026, 32677, 73964, 131887, 206446?
8318*x**2 - 303*x + 11
What is the f'th term of 6682, 6519, 6252, 5881, 5406, 4827?
-52*f**2 - 7*f + 6741
What is the x'th term of 51569, 55755, 59941, 64127, 68313?
4186*x + 47383
What is the x'th term of -41605, -83236, -124867?
-41631*x + 26
What is the u'th term of -759652, -1519305, -2278958?
-759653*u + 1
What is the l'th term of -2238820, -4477637, -6716454, -8955271?
-2238817*l - 3
What is the m'th term of 259821, 519629, 779437, 1039245, 1299053?
259808*m + 13
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
4).
-6
Suppose 3*l + b = 2*b + 443, 3*b - 435 = -3*l. Let h be 6*(l/90 - 12/90). Let z(p) = -h*p - 12*p**2 - 13 + 20*p**2 - 3*p**3 + 4*p**3. Calculate z(-9).
-13
Let r(j) = -j - 2. Let z be r(-2). Let c = -597 - -614. Let h(y) = -3*y - 39 + 3*y**2 + 3*y + c + y - 4*y**2. Determine h(z).
-22
Let o be (-2)/9 + (-280)/(-45). Suppose 5*d + s = 7, 9 = 3*s + 3. Let y(z) = -4*z**2 - 5*z + 2. Let c(u) = u**2. Let b(w) = d*y(w) + 5*c(w). Calculate b(o).
8
Let h be (1166/265)/(2/55). Let a = 117 - h. Let v(j) = j**3 + 4*j**2 + j + 3. Give v(a).
-1
Let l(z) = z**3 + 8*z**2 + 9. Let h be l(-8). Let v(g) be the first derivative of g**3/3 - 11*g**2/2 + 4*g + 2423. What is v(h)?
-14
Let z(w) be the first derivative of -w**3/3 - 3*w**2 + 14*w + 10. Let c be z(-6). Let k be (3/2)/((-7)/c). Let n(s) = -3*s - 1. Calculate n(k).
8
Let w(f) = -2*f - 28. Let x be 1524/138 + (-13)/299. Calculate w(x).
-50
Let f(c) = -85 - 11*c + 121 + 0*c - 32. What is f(-1)?
15
Let y(t) = -3*t + 1. Let d be y(3). Let c(b) = -14*b - 9. Let o(a) = 13*a + 3 + 13*a - 9 - 35*a. Let u(h) = d*o(h) + 5*c(h). What is u(-2)?
-1
Let x(q) = 11*q**2 + 2*q + 29. Let p(s) = -s - 8 + 10*s**2 - 6 - 15*s**2. Suppose -3*d - 8 = 10. Let b(u) = d*x(u) - 13*p(u). Give b(0).
8
Let z(v) = -v - 8. Let b be z(-9). Let p(d) = 87*d + 17. Let y(o) = 42*o + 7. Let q(c) = 2*p(c) - 5*y(c). Give q(b).
-37
Let w(x) = x**3 - 14*x**2 - 3*x - 1. Let p be 13/5 + 4332/380. What is w(p)?
-43
Let k(w) = -3*w**3 + 4*w**2 - 2*w + 3. Let y(n) = -n**3 + n - 1. Suppose 8*f + 4*f = -12. Let m(t) = f*k(t) + 2*y(t). Let a be 2 + 3 + -5 + 4. Determine m(a).
11
Let o(g) = -26*g - 14. Let z(b) = 45*b + 28. Let m(k) = -43*k - 218. Let i be m(-5). Let u(y) = i*z(y) - 5*o(y). Give u(-4).
6
Let q(j) = -267*j + 5879. Let x be q(22). Let d(o) = -2 + 5*o**2 + 2*o**3 + 6 - 3*o**3 - o - 3. Calculate d(x).
-4
Suppose -571 = 3*r - 4*q - 5720, 0 = 3*r - q - 5146. Let m(z) = z**3 - r + 1714 + 0*z**3. Give m(0).
-1
Suppose -5*b - 4*f = -3, -4*b + 21*f - 12 = 17*f. Let r(i) = 29*i**3 + i**2 + 2*i + 1. Determine r(b).
-29
Let z(f) = -f**2 + 15*f - 23. Let s be z(14). Let i(a) = 3*a - 8. Let l(g) = -14*g + 34. Let h(n) = s*i(n) - 2*l(n). Calculate h(-8).
-4
Let g(d) be the first derivative of -5*d**2 + 19*d - 7324. What is g(6)?
-41
Let d(g) = g**2 + 9*g - 7. Suppose 4*q = 4*m + 7*q + 20, 3*m + 5*q + 15 = 0. Calculate d(m).
-27
Let w(k) be the third derivative of -k**5/20 + k**4/2 + k**3 + 20*k**2 + 2*k + 33. Determine w(7).
-57
Let f(s) = 27*s**3 + 5*s**2 + 6*s + 8. Let x(c) = 23*c**3 + 4*c**2 + 5*c + 7. Let w(y) = 6*f(y) - 7*x(y). Determine w(-2).
-3
Suppose -4*f + 15 = -67*r + 48*r, -2*f = r + 3. Let s(y) = y**2 + 1. Let u(t) = 25*t**2 + 35. Let j(k) = -175*s(k) + 5*u(k). Determine j(f).
-50
Suppose -c - 6*d - 12 = 0, 104*d - 103*d - 9 = -2*c. Let k(s) = -s**2 - s + 23. Calculate k(c).
-19
Suppose -3*t = -8*t + 200. Let s(p) = -3*p + 22 + 24 - t. Give s(4).
-6
Suppose -2*i = 8*v - 5*v - 32, 4*i + 2*v - 80 = 0. Suppose 0 = i*s + 9*s. Let h(m) = -2*m**2 - m + 8. Calculate h(s).
8
Let n be 5*8/(-100) + 76/40. Let o(z) be the first derivative of n*z**2 - 11 + 1/3*z**3 + 6*z. Calculate o(-4).
10
Let i(v) = -v + 61. Let l be i(54). Let d(w) = 4*w - 10. Let g(q) = -q + 3. Let c(k) = l*g(k) + 2*d(k). What is c(6)?
7
Suppose 3*y - 5*y = -j - 157, 3*y = -5*j + 203. Let g(r) = -4 - 73*r + y*r + 8. Determine g(-4).
-8
Let v(s) = 2*s**2 + 3*s + 14. Suppose -14*d - 12*d = 3*d + 116. What is v(d)?
34
Let y = 67 - 64. Let v(o) = -3*o**3 - 8*o**2 - 8*o - 4. Let l(d) = -4*d**3 - 9*d**2 - 11*d - 4. Let z(p) = 4*l(p) - 5*v(p). Determine z(y).
1
Let d = -6 - 20. Let i = d + 34. Let p(m) = -41 - 37 + 77 - i*m. What is p(-1)?
7
Let g = 280 - 277. Let m(i) = 45*i**2 + 6*i**3 + 1 - 50*i**2 - 7*i**g + 10*i + 0*i**3. What is m(-7)?
29
Let w(o) = o**3 + 11*o**2 + 13*o + 4. Let y be (0 + (-10)/(-4))/(-6 + 322/56). Give w(y).
-26
Let h(w) = -13*w + 0 + 1 - 5*w - 6*w + 4*w**2 - 69*w + 94*w. Let k(f) = f**3 + 3*f**2 - 5*f - 1. Let a be k(-4). Suppose -2 = a*j - j. Give h(j).
4
Let l(z) = -z**2 - 2*z + 3. Let g = -197 - -221. Let s be (-30)/(-4)*g/36. What is l(s)?
-32
Let f(z) = 2 + 1 + 3 - 6*z - z**2. Let b be -5 + 1 - (-24 + 22). Let c be ((-6)/5)/(b/(-10)). What is f(c)?
6
Suppose -2*o = -0*b + 4*b, -2 = 2*b. Let l(v) = 10*v**2 - 4*v - 16*v**o - 6 + 7*v**2 - v. Calculate l(7).
8
Let k = 5 + -9. Let u(j) be the first derivative of -2*j**3/3 - 3*j - 45603. Determine u(k).
-35
Let w(s) be the third derivative of -2*s**3 - 5/12*s**4 + 5 + 2*s**2 - 1/120*s**6 + 0*s - 3/20*s**5. Calculate w(-8).
4
Let o(k) be the third derivative of 211*k**2 - 1/24*k**4 + 0 + 0*k + 4/3*k**3. Determine o(8).
0
Let d(s) = s**3 - 4*s**2 + s - 1. Let r = -106 + 106. Let t(i) = 26*i - 27*i**2 + 6*i**3 + r - 6*i**3 - 54 - i**3. Let z be t(-28). Calculate d(z).
-7
Let h(g) = -5*g**2 + 28*g + 9. Let a(r) = 3*r**2 - 13*r - 2. Let f(z) = 2*a(z) + h(z). Calculate f(5).
40
Let q = 44 + -43. Suppose -2*c - 3*b = q, 12*c - 17*c + 4*b = -9. Let l(o) = -o. What is l(c)?
-1
Let q(o) be the first derivative of 4*o**2 + 20*o + 1535. What is q(-3)?
-4
Let q(k) be the second derivative of -k**4/12 + k**3/2 + 6*k**2 + k - 232. Calculate q(0).
12
Suppose -11*h + 824 + 30 = 50*h. Let m(r) = -r**3 + 15*r**2 - 14*r + 12. Give m(h).
12
Let z(w) = w - 14. Let a(r) = r - 7. Let k(o) = 2*a(o) - z(o). Let y = -413 - -401. Calculate k(y).
-12
Let s(k) be the third derivative of -k**4/24 + k**3/2 + 21*k**2. Let c(w) = -58*w - 346. Let n be c(-6). Calculate s(n).
1
Let r(w) = -25*w - 13. Let f(q) = -70*q - 40. Let s(c) = -6*f(c) + 17*r(c). Let y(v) = 22*v - 75. Let x(p) = 26*s(p) + 6*y(p). Determine x(-20).
4
Let k(b) = -21*b - 318. Suppose -751 = -148*u - 2971. Give k(u).
-3
Let a be 3 - (-3 - 3/(-1)). Let o(d) = d**3 - 27*d**2 + d - 22. Let g be o(27). Let u(n) = 11*n**3 + 5*n**3 + 1 - 4*n + g*n**2 - 17*n**3. Determine u(a).
7
Let c(x) = 3 - x + 0*x + 0 - x**2. Suppose -10*s = 369 + 1. Let p be s/(-74) - (-2)/(-4). Give c(p).
3
Suppose -351*y + 671*y + 7128 = -472*y. Let t(g) = -8*g - 73. Give t(y).
-1
Let g(t) = -t**2 + 9*t + 4. Suppose -5*b = -b + 2*o - 12, o = -3*b + 9. Suppose 4*n - 55 = -0*n + b*f, 0 = -2*n - 4*f. Determine g(n).
-6
Let x(c) = -c - 52. Let k be (-30)/4 - (1/2)/(-112 + 111). Calculate x(k).
-45
Suppose -4*t - 12 = 0, 3*i - 25*t + 22*t = 72. Let n be -6 - ((-10)/(-15))/((-2)/i). Let f(o) = -12*o**3 - o**2 + o - 1. What is f(n)?
-13
Let z = 152 + -261. Let b = z - -116. Let s(m) = -4*m + 4*m - 5*m - b + 3*m. Calculate s(-6).
5
Let w(t) = t + 2. Suppose -2*s + 4*r = -30 + 338, -580 = 4*s + 4*r. Let k = s - -145. Determine w(k).
-1
Let u(t) be the third derivative of -t**6/120 - 23*t**5/60 + 5*t**3/3 + 5105*t**2. Calculate u(-23).
10
Let d = 4 - 9. Let c(v) = 3*v + 5. Let l(u) = 3*u - 3*u - u + 1 - 4. Let r(x) = d*l(x) - 2*c(x). What is r(6)?
-1
Let y(w) be the third derivative of -w**5/15 + 13*w**4/8 + 15*w**3/2 + 397*w**2. Give y(11).
-10
Suppose 4*y = 3*u - 84 - 10, 5*y + 5 = 0. Let g(b) = 53 + b - 27 - u. What is g(3)?
-1
Let b = 1068 + -1068. Suppose 4*u + 3*y - 5 = 0, -4*u - 8 = -y - 1. Let z(s) = -s. Let p(o) = -o**2 - 5*o - 24. Let g(k) = u*p(k) + 6*z(k). Give g(b).
24
Let c(o) be the first derivative of 3*o**2/2 - 16*o - 1948. Calculate c(0).
-16
Let m = -15 + 16. Let b be m + (3 - 0) + -1. Let d(s) = -2 - 3 + 2 - b*s**2 - s**3 + 0*s - s. Determine d(-3).
0
Let h(b) = b**2 + 16*b + 44. Suppose -2*r = -14*r - 2*r - 98. Give h(r).
-19
Suppose 0 = 2*v - 10, -2*w - w + 5*v - 49 = 0. Let g(c) = -c**2 + c + 65. What is g(w)?
-7
Let m(d) = 8*d - 67. Let f(x) = 7*x - 69. Let b(q) = 3*f(q) - 4*m(q). Let y be b(5). Let w(v) = -v**3 + 5*v**2 + 2*v + 4. Calculate w(y).
-20
Let h(v) = 4*v**2 + 3*v. Let z(l) = -l**3 - 17*l**2 - 12*l - 1. Let r(n) = -9*h(n) - 2*z(n). Let w be -1 + (-5)/((-45)/27). What is r(w)?
4
Let p = -639 + 639. Let c(z) be the third derivative of 0 + 0*z - 10*z**2 - 11/6*z**3 + 1/24*z**4. Calculate c(p).
-11
Let c = 353 - 346. Let x(j) = -j**3 + 6*j**2 - j + 59. Determine x(c).
3
Let n(i) = -2*i**3 + 13*i - 3331*i**2 + 22*i + 9979*i**2 - 3330*i**2 + 45 - 3335*i**2. Determine n(-10).
-5
Let y(x) = x**2 + 4*x - 2. Let q(w) = 2*w**2 - 26*w - 8. Let b be q(0). Give y(b).
30
Let w(b) = -10*b + 2.
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the biggest value in o, -4, 91.19?
91.19
Let i = -5.01 + 5. Let q = -501.88 - -500.88. Which is the third biggest value? (a) -1/3 (b) q (c) i
b
Let z = 67 + -62. Let t = -5.05 - -0.05. Let l = -0.0398 + 0.3398. Which is the fourth smallest value? (a) l (b) z (c) t (d) -0.5
b
Let n be (-6)/(-21) + (-5)/(-7). Let m = -1884.084 - -1884. What is the third biggest value in n, m, -0.4?
-0.4
Let m = -9427/13 - -735. Which is the biggest value? (a) m (b) -4 (c) 1 (d) -3
a
Let h = 4594 - 4599. Which is the smallest value? (a) h (b) -2 (c) 356 (d) 4
a
Let y = 17894 + -17898. Which is the third biggest value? (a) y (b) 36 (c) 154
a
Let y = -141.47 + 141.17. What is the third biggest value in 1, -1710, y, -2?
-2
Let r = -7.311 - 307.989. Let i = 316 + r. Let f = -0.06 - -0.36. Which is the second biggest value? (a) -4 (b) f (c) 2/17 (d) i
b
Let x = 193 + -364. Let u = -1199/7 - x. Let h = 1.8 + -1.7. Which is the fourth smallest value? (a) u (b) -2/9 (c) h (d) 4
d
Let k = 1210/1761 - 12/587. What is the third biggest value in k, 10, 0, -1/3?
0
Let t = 0.2596 + -0.1596. Let f be (-93)/33 + 1*3. Let o be 2/40 + 1/5. What is the second biggest value in f, t, -5, o?
f
Let k = -10 + -1. Let y = 7.758 + -7.818. Which is the second smallest value? (a) k (b) y (c) 0.2 (d) 0
b
Suppose 0 = 15*x - 9*x - 204. Let o be -1 - ((-4)/x + (-909)/1377). What is the second smallest value in -5, o, 0.2?
o
Let m = 12448 - 12429. Which is the third smallest value? (a) 5/6 (b) -22 (c) -2/5 (d) m (e) 3
a
Let g be -2 - (3 + (-65)/15). Let l = 1.3 + 28.7. Let i = l + -29.6. Which is the third biggest value? (a) -3/4 (b) g (c) 3/4 (d) i
b
Let r = 4.117 + -3.917. Let t be 2/3*-2*3. Which is the biggest value? (a) r (b) t (c) -5/2
a
Let z = 2409/2 + -1167. Let h = z + -38. Which is the smallest value? (a) 1/3 (b) h (c) 1/2 (d) -0.1
b
Let v = 4515 + -4519. Which is the biggest value? (a) v (b) -9 (c) -3.2
c
Let o = 5.02 + -5. Let w = -26747.2 - -26747. Which is the third biggest value? (a) 4 (b) o (c) w
c
Let m be 8/6 - ((-43)/(-3) + -287 + 281). Let z be (-1)/6*(-1)/(-2). What is the smallest value in z, -4/7, 0, m?
m
Let d = 682.7 + -683.2. Let h = -10 + 9.72. Let n = h - 0.02. Which is the third smallest value? (a) d (b) -37 (c) n
c
Let k = 1080 + -195478/181. Let n = k + 527/1448. What is the third biggest value in -0.63, -6/5, n?
-6/5
Let t = -10/8953 - 17816/80577. What is the second biggest value in 5.69, -2, t?
t
Let f = 62 + -72. Let y be 1303/(((-114)/f)/(-3)). Let v = y + 343. What is the fourth smallest value in v, -12, 0.4, -0.3?
0.4
Let w = 18627 - 18630. Let f be 18/15*10/(-2). Let t be 1 + (f/(-9) - 1). Which is the third smallest value? (a) w (b) t (c) -1/8
b
Let h = -2340 + 2240. What is the biggest value in 0, -2/5, h, 0.3?
0.3
Let o = -359.6 + 359.4. Which is the smallest value? (a) o (b) -4/7 (c) 51
b
Let l = -50693 - -50694. Let r be (-2)/(-4) + 2/(-12). What is the biggest value in r, l, -6?
l
Let i = 10.825 - 7.825. Which is the biggest value? (a) 5 (b) 2.5 (c) i (d) -10
a
Let g be (-10)/2*(-2)/(-15). Let w be -2*4 - ((-63)/693 + 96/(-33)). Which is the third smallest value? (a) 3 (b) w (c) g (d) 0
d
Let v = -891 + 889.8. Let p = -12 - -14. Which is the smallest value? (a) p (b) v (c) -0.5 (d) -0.1
b
Let n = -8.3 - -3.3. Let r be 6 + (-11)/(220/108). Which is the third biggest value? (a) n (b) -10 (c) r
b
Suppose -5137 = -7*f - 5158. Let v = -0.54 - -0.6. Let k be (1 - 0)*(-2)/(-2). Which is the second biggest value? (a) f (b) k (c) v
c
Let s = 272.067 + -272. Let m = -0.167 + s. Let j be 0*(1 + 0)*-1. What is the smallest value in m, j, -0.5, 0.4?
-0.5
Let x = 0.2 + -0.15. Let h = -91.9 + -4.1. Let f = h - -96. Which is the third smallest value? (a) -2 (b) 3/5 (c) f (d) x
d
Let i = -68 - -478/7. Let x = -24 - -23.7. Which is the fourth biggest value? (a) 3 (b) x (c) i (d) 1/4
b
Suppose -10 = 3*l + 5. Let j = 5/6 + -23/42. Which is the second biggest value? (a) l (b) -0.09 (c) 0.5 (d) j
d
Let u = 15090.23 - 15204. Let h = -114 - u. What is the biggest value in h, -5, 2/19?
2/19
Let x be (-179)/8 + 812 + -790. Which is the third biggest value? (a) -57 (b) x (c) 9
a
Let y = 9368 - 9367. Let z = 8.8 - 12.8. Which is the third biggest value? (a) 57 (b) z (c) 2/5 (d) y
c
Let c = 75.07 + -67.07. Let k = -3 - -2.9. What is the smallest value in -4, c, k?
-4
Let j be 6/2 + 40/(-24). Let p = -22 + 13.2. Let o = p - -9. Which is the third biggest value? (a) o (b) j (c) 3
a
Let u = -3/146 + -1597/438. Let t = 21 + -13.8. Let k = t + -7. What is the fourth smallest value in -5, 4, u, k?
4
Let w = -4 - 2. Let p be ((-4)/(-6))/(w/2). Let v(z) = -17429*z + 34859. Let k be v(2). Which is the second biggest value? (a) p (b) k (c) 0.4 (d) -4/9
c
Suppose f + 9 = 12. Suppose -f*u = 2*q - 4*u - 2, -2 = 3*q + u. Let l = -607/63 + 69/7. Which is the fourth smallest value? (a) 2/5 (b) l (c) -4 (d) q
a
Let v = -61/159 - 15/53. Let n = -1.63 - -1.65. What is the third biggest value in n, 2, v?
v
Let r = -8/161 + 22/161. What is the biggest value in -0.3, r, 2/9, 1/11?
2/9
Let r be 5*20/(-252) + 6/(-378)*-7. Let t = -10 + 52/5. What is the fourth biggest value in t, r, 0.068, -4?
-4
Let m = -0.11 - 0.326. Let k = m - 0.054. Let u = 0.79 + k. Which is the second biggest value? (a) 0.5 (b) 1 (c) 0.4 (d) u
a
Let n = 41 + -59. Let d = n - -28. Let x = -11 + d. Which is the third smallest value? (a) x (b) 2 (c) -1/3
b
Let v = -1.018 + 409.018. Let p = v + -408.04. What is the third smallest value in 3, p, 1?
3
Let s = -35.099 - -35.099. Which is the third smallest value? (a) 2192 (b) s (c) -2
a
Let k = -298 - -295. Let h = 6 - 6. What is the fourth smallest value in k, h, 2, 5?
5
Let p = -463/33 - -6085/429. What is the biggest value in 46.46, -1, p?
46.46
Let i = 53.782 + -0.782. Which is the second biggest value? (a) 0 (b) i (c) -0.4
a
Let v = -0.7056 - -0.8056. Let r = -2.01 - -0.01. Which is the fourth biggest value? (a) -5 (b) v (c) r (d) -2/3
a
Let z = 1101 - 1102. Let t be 6 + (-5 - -8) - (0 - -1). What is the smallest value in z, 2, t, -0.3?
z
Suppose 3*c + 4*t = 23, 0*c = 5*c - 8*t - 9. What is the smallest value in c, -31/5, -0.05?
-31/5
Let b = 128787/7 + -18398. Let p(u) = -u**2 - 4*u. Let c be (3/(-5))/((-3)/(-15)). Let g be p(c). What is the biggest value in -3, b, g?
g
Suppose 21 = j + 5*f, 0 = -5*j - 3*f - 82 + 77. Suppose 3*w + 6 + 0 = 0. Let n = -22 + 24. What is the biggest value in n, j, w?
n
Let m = 36256/7 + -5179. Which is the fourth biggest value? (a) -1 (b) 62 (c) -1/3 (d) 4 (e) m
c
Let x be (3/6)/((-1)/6). Let k = -6577.7 - -6578. Let n = -11 - -15. Which is the second biggest value? (a) n (b) x (c) k (d) -0.2
c
Suppose 2*x - 4*x - 16 = 0. Let h = -298.943 - -302.943. What is the second smallest value in h, x, 1/5?
1/5
Let r = -10637 - -10636.8. What is the fifth biggest value in r, 0.4, -7, -0.1, -5?
-7
Let p = -22061.2 - -22061. What is the smallest value in p, 6/13, 55, -1, -2/15?
-1
Let m = -4.28 - -0.51. Let g = -1.77 - m. Which is the second smallest value? (a) g (b) -18 (c) 4/5
c
Let d = -621 - -579.2. Let n = d - -36.8. What is the smallest value in n, -10, 3, 0.2?
-10
Let i = 0.15 + 87.85. Let s = i + -87.89. Which is the smallest value? (a) 2 (b) 3/5 (c) s
c
Suppose 58 = 4*f + 2*t + 50, -3*f + 4*t = -17. What is the smallest value in f, 3/262, -1/7?
-1/7
Let k = -4960 - -6379. What is the third smallest value in -0.5, -4, -2, k?
-0.5
Let d = 1 + -1.05. Let g = -35.3 - -209.3. Let f = g - 174.2. Which is the smallest value? (a) f (b) -0.3 (c) d
b
Let j = 9289/23260 - -3/4652. Which is the fourth biggest value? (a) 4 (b) -0.3 (c) 13 (d) -10 (e) j
b
Let y = 83 - 84. Let w = 2 - 2. Let g = -38/27 + 2/27. What is the second biggest value in w, y, g?
y
Let z = 10.9 + -0.9. Let s = 121135214 + -883439114354/7293. Let g = 2/663 - s. What is the third biggest value in g, z, -2, -2/3?
-2/3
Let v = 140.5 + -142. Suppose 35 = 4*k + 3*w, 3*k - w - 25 = -3*w. Suppose 0 = -a - k, -3*l - 15 - 6 = 3*a. What is the second smallest value in l, -2/7, v?
v
Let k be (64/14)/(-2) - (5 - -25)/(-15). Which is the smallest
|
{
"pile_set_name": "DM Mathematics"
}
|
ext: -13202, -51975, -116606, -207101, -323466, -465707?
-633830
What is next in 3445, 13733, 30889, 54919, 85829, 123625, 168313, 219899?
278389
What is next in 778761, 778763, 778765, 778767?
778769
What comes next: 459, 1863, 4207, 7491, 11715, 16879, 22983?
30027
What is next in -11907, -11934, -11995, -12102, -12267?
-12502
What is next in 10086, 10083, 10080, 10077, 10074, 10071?
10068
What is the next term in -1062589, -1062588, -1062587?
-1062586
What is the next term in 61937, 123873, 185809?
247745
What comes next: 1043, 1179, 1555, 2291, 3507, 5323, 7859, 11235?
15571
What is next in -20713, -20736, -20759?
-20782
What comes next: 1036, 228, -1118, -3002, -5424, -8384?
-11882
What comes next: 14110, 28220, 42330, 56440?
70550
What is the next term in 7209, 7185, 7153, 7113, 7065?
7009
What is the next term in 759, 1267, 1527, 1539, 1303, 819, 87?
-893
What is next in 404, 1531, 3378, 5945?
9232
What is next in 30170, 60362, 90556, 120752, 150950?
181150
What is next in 1006835, 1006836, 1006837, 1006838, 1006839?
1006840
What is the next term in -230712, -461410, -692108, -922806?
-1153504
What is next in 3038, 24081, 81134, 192203, 375294?
648413
What is the next term in 2923, 2898, 2889, 2902, 2943?
3018
What is the next term in -22683, -90737, -204159, -362949, -567107?
-816633
What is the next term in -303, -488, -673, -858, -1043, -1228?
-1413
What comes next: -224, -324, -428, -536, -648, -764, -884?
-1008
What comes next: -16, -33, -48, -61, -72?
-81
What is the next term in -8472, -16957, -25442, -33927, -42412, -50897?
-59382
What is the next term in -25115, -25104, -25093?
-25082
What is the next term in -179111, -358194, -537275, -716354?
-895431
What is the next term in 679, 1247, 1815?
2383
What is the next term in -43, 512, 1063, 1610?
2153
What is the next term in -152, -343, -640, -1097, -1768, -2707?
-3968
What comes next: 2377455, 2377456, 2377457?
2377458
What comes next: -2741, -2740, -2739, -2738?
-2737
What is next in 183, 436, 683, 924, 1159, 1388, 1611?
1828
What comes next: 56, 17, -26, -73?
-124
What is the next term in 2416895, 2416896, 2416897, 2416898, 2416899?
2416900
What comes next: 66, 306, 692, 1212, 1854?
2606
What is the next term in 3644, 3665, 3706, 3773, 3872, 4009, 4190, 4421?
4708
What is the next term in 13821, 13624, 13429, 13236, 13045, 12856, 12669?
12484
What comes next: -336669, -336670, -336671?
-336672
What comes next: -76878, -76865, -76842, -76809, -76766, -76713, -76650?
-76577
What is next in 371, 2977, 10043, 23795, 46459, 80261, 127427, 190183?
270755
What is next in -13639, -27201, -40763, -54325, -67887, -81449?
-95011
What comes next: -3021, -12076, -27165, -48288, -75445, -108636, -147861?
-193120
What is the next term in 879, 1365, 1859, 2361, 2871, 3389?
3915
What comes next: -4, 147, 588, 1463, 2916?
5091
What is next in 207348, 207347, 207346, 207345?
207344
What is the next term in 999317, 1998635, 2997953, 3997271?
4996589
What is next in -257, -760, -2127, -4790, -9181, -15732, -24875?
-37042
What is the next term in 190, 237, 266, 277?
270
What comes next: 12629, 12633, 12639, 12647, 12657?
12669
What comes next: -1658, -1793, -1928, -2063, -2198?
-2333
What is the next term in -1190, -4396, -9738, -17216, -26830, -38580, -52466?
-68488
What is the next term in -30764, -123125, -277060, -492569, -769652, -1108309?
-1508540
What is the next term in -8276, -8281, -8286, -8285, -8272, -8241, -8186?
-8101
What comes next: 194, 175, 142, 95, 34, -41?
-130
What is next in 50, -60, -244, -502?
-834
What comes next: 20295, 20323, 20351, 20379, 20407?
20435
What is the next term in 7544, 7771, 7998, 8225, 8452?
8679
What is the next term in 55, 145, 243, 355, 487, 645, 835?
1063
What is the next term in 58, 176, 340, 562, 854?
1228
What is the next term in 9735, 19467, 29199, 38931, 48663?
58395
What comes next: -34914, -69810, -104706, -139602, -174498, -209394?
-244290
What is the next term in 683, 961, 1431, 2099, 2971, 4053, 5351?
6871
What is the next term in -59012, -59024, -59040, -59060, -59084, -59112?
-59144
What is the next term in -243, -836, -1779, -3066, -4691, -6648, -8931, -11534?
-14451
What comes next: 157, 171, 191, 217?
249
What is next in -25759, -25755, -25751, -25747, -25743?
-25739
What is next in 630, 627, 624, 621, 618, 615?
612
What is next in -32048, -128191, -288430, -512765, -801196, -1153723, -1570346?
-2051065
What is the next term in -3744, -7463, -11160, -14835, -18488, -22119?
-25728
What comes next: 805, 6524, 22057, 52312, 102197, 176620, 280489, 418712?
596197
What comes next: 27137, 54281, 81431, 108593, 135773, 162977, 190211?
217481
What is the next term in -355, -793, -1231, -1669, -2107, -2545?
-2983
What is next in 45, 283, 935, 2211, 4321, 7475, 11883, 17755?
25301
What is next in -659, 111, 2313, 5947, 11013?
17511
What comes next: 1217, 678, -221, -1480, -3099, -5078?
-7417
What comes next: 149276, 149274, 149272, 149270, 149268?
149266
What comes next: -100, -85, -62, -31, 8, 55, 110?
173
What is the next term in -3146, -3093, -3076, -3101, -3174, -3301, -3488?
-3741
What comes next: -839437, -1678877, -2518313, -3357745?
-4197173
What is next in 15806, 15800, 15784, 15758, 15722, 15676?
15620
What is next in -1908, -1919, -1940, -1971?
-2012
What is the next term in 104, 167, 242, 335, 452, 599, 782?
1007
What is next in -12925, -12924, -12923, -12922?
-12921
What is next in 368456, 368457, 368458?
368459
What is next in -94, -16, 62, 140, 218?
296
What is the next term in 657, 2646, 5961, 10602, 16569, 23862?
32481
What comes next: -119378, -119382, -119388, -119396?
-119406
What comes next: 1382, 5721, 12958, 23093, 36126, 52057?
70886
What is the next term in -861, -1810, -2785, -3798, -4861, -5986?
-7185
What is next in -1478, -3182, -4898, -6632, -8390, -10178, -12002?
-13868
What is the next term in -39980, -79965, -119950, -159935?
-199920
What is next in -4448, -4894, -5338, -5780, -6220?
-6658
What comes next: -324, -650, -984, -1326?
-1676
What is the next term in 1673, 1653, 1597, 1487, 1305?
1033
What comes next: 512, 2168, 4972, 8924, 14024, 20272?
27668
What comes next: -4445, -4456, -4479, -4520, -4585, -4680, -4811, -4984?
-5205
What is the next term in 261, 173, 69, -57, -211?
-399
What comes next: 6100, 12254, 18394, 24520, 30632, 36730, 42814?
48884
What comes next: -325, -591, -1039, -1663, -2457, -3415, -4531?
-5799
What comes next: -400, -673, -934, -1177, -1396, -1585?
-1738
What is next in -85, 294, 925, 1808, 2943?
4330
What is next in -231757, -463527, -695283, -927019, -1158729, -1390407, -1622047?
-1853643
What is the next term in 2325, 2324, 2327, 2334?
2345
What comes next: 113, 373, 807, 1415, 2197, 3153, 4283?
5587
What is the next term in -271, -1048, -2333, -4114, -6379, -9116, -12313?
-15958
What is next in -84, -17, 74, 195, 352, 551, 798?
1099
What is the next term in 856, 743, 616, 469, 296, 91?
-152
What comes next: 23467, 23465, 23457, 23443, 23423?
23397
What is next in 28388, 113618, 255660, 454508, 710156, 1022598, 1391828, 1817840?
2300628
What comes next: -21093, -42182, -63271, -84366, -105473, -126598, -147747, -168926?
-190141
What is next in -678, -1311, -1984, -2715, -3522?
-4423
What comes next: -648, -1652, -2656, -3660, -4664, -5668?
-6672
What is the next term in -2606734, -2606732, -2606730, -2606728?
-2606726
What comes next: -1515, -1517, -1519?
-1521
What is next in -4059, -4035, -4011, -3987, -3963, -3939?
-3915
What is the next term in 574, 2315, 5216, 9277, 14498, 20879?
28420
What comes next: -1046, -1726, -2414, -3110, -3814?
-4526
What comes next: -310, -595, -880, -1165?
-1450
What is next in 29633, 29779, 29911, 30023, 30109, 30163, 30179, 30151?
30073
What comes next: -340, -617, -882, -1129, -1352, -1545?
-1702
What is next in 283299, 283303, 283309, 283317, 283327, 283339?
283353
What is the next term in -254, -1007, -2262, -4019, -6278, -9039?
-12302
What is the next term in 579, 1491, 2717, 4251, 6087, 8219, 10641?
13347
What is next in -18597, -37196, -55795, -74394, -92993, -111592?
-130191
What is next in 3044, 6081, 9118, 12155, 15192, 18229?
21266
What comes next: 3265, 4723, 6181, 7639, 9097, 10555?
12013
What is the next term in -31857, -31872, -
|
{
"pile_set_name": "DM Mathematics"
}
|
first derivative of 8 + 4*v + 1/6*v**3 + 0*v**2. Let h(i) be the first derivative of o(i). Give f(h(m)).
-3*m
Let w(d) = -d**2 + 7*d. Let a(b) = b. Let i(c) = -14*a(c) + 2*w(c). Let l(p) be the second derivative of p**4/3 - 3*p + 17. Give i(l(m)).
-32*m**4
Let m(t) = t**2. Let s = -22 - -10. Let n be (-7)/(s/9 - -1). Let l(g) = 15*g + 14*g - n*g. Give l(m(r)).
8*r**2
Let q(f) = -355*f. Let k(y) = -143*y. Determine k(q(i)).
50765*i
Let d(f) = 4*f**2. Let u(t) = -1116*t + 11. What is u(d(c))?
-4464*c**2 + 11
Let s(t) = -3*t**2. Let z(d) = -2*d + 2. Let v be z(0). Let b(g) = -v*g - g + 6*g. What is s(b(r))?
-27*r**2
Let z(u) = u**2. Suppose -m = -4*p - 11, 5*p + 1 = 4*m - 32. Let j(n) = -m*n + 2*n + 16 + 11 + 3*n. What is j(z(f))?
-2*f**2 + 27
Let o(s) = -1797*s**2 + 2*s - 221. Let j(n) = 3*n. What is j(o(l))?
-5391*l**2 + 6*l - 663
Let z(d) = -14*d**2 + 2*d. Let g(s) = -39153*s**2. What is z(g(f))?
-21461403726*f**4 - 78306*f**2
Let q(d) = -22*d. Let w(t) = -98*t - 105*t + 205*t. Calculate w(q(a)).
-44*a
Let l(o) = -50 + 18 + 2*o + 15 + 17. Let a(y) = 23*y + 1. Calculate l(a(f)).
46*f + 2
Let w(v) be the first derivative of 9 + 0*v + 5/2*v**2. Let k(t) = 8*t. Give w(k(n)).
40*n
Let x(w) be the first derivative of 81*w**2/2 - 966. Let t(n) = -2*n + 3 - 3. Give x(t(a)).
-162*a
Let w(a) = -40*a + 30. Let o(n) = -n + 1. Let q(y) = -30*o(y) + w(y). Let i(p) = 0 - 2 + 2 - 2*p. Determine q(i(m)).
20*m
Let h(b) = 3*b**2. Let i(v) = 8796*v. Calculate i(h(x)).
26388*x**2
Suppose 38*l + 23 = 39*l. Let q(u) = -11*u**2 - 11*u**2 + l*u**2. Let v(d) = -2*d + 26. What is q(v(c))?
4*c**2 - 104*c + 676
Let p(x) = 425*x**2 - 852*x**2 + 430*x**2 + 12*x. Let t(l) = -26*l. Determine p(t(o)).
2028*o**2 - 312*o
Let j(z) = 3*z**2. Let b(x) = 1293*x. Give b(j(s)).
3879*s**2
Let i(g) = -g. Let b(x) = -65*x + 5. Let r(f) = 2*f - 1. Let h(t) = b(t) + 5*r(t). Calculate i(h(c)).
55*c
Let j(a) = -43*a**2. Suppose -11 = -3*k - 2. Let v(d) = -1662 + k*d + 1662. What is v(j(h))?
-129*h**2
Let j(w) = 10*w**2. Let h(a) = 18110*a + 1. Give h(j(y)).
181100*y**2 + 1
Let p(s) = 15*s**2. Let r(d) be the first derivative of 2*d**3/3 + 19*d - 10. Let y(t) be the first derivative of r(t). Determine y(p(x)).
60*x**2
Let x(f) = -f**3 - 9*f**2 - 12*f - 29. Let c be x(-8). Let h(p) = 10*p + 17*p + 6*p + c*p. Let o(v) = -2*v**2. What is h(o(k))?
-72*k**2
Let v(h) = 0*h**2 - 4*h**2 + 6*h**2 - 3*h**2. Suppose -49 + 59 = 5*b. Let w(l) = 9*l**2 + 3*l**b - 4*l**2 - 4*l**2. Determine v(w(j)).
-16*j**4
Let y(w) = -w**3 - w**2 + w + 13. Let v be y(0). Let d(z) = 11*z + 13. Let r(q) = 5*q + 6. Let j(m) = v*r(m) - 6*d(m). Let k(b) = -6*b. Give k(j(x)).
6*x
Let p(z) = -2*z**2. Let f(b) be the second derivative of 31*b**4/6 - 5*b - 1. Calculate f(p(x)).
248*x**4
Let v(h) be the first derivative of h**2/2 + 109. Let g(i) = -11*i. Give g(v(f)).
-11*f
Let w(k) be the third derivative of -k**5/6 + 3*k**2. Let r(p) = 63 - 25 - 38 + 4*p. What is r(w(u))?
-40*u**2
Let x(c) = 24*c**2 + c. Let s(p) = -5*p - 6. Let h(f) = 6*f + 8. Let b(u) = -3*h(u) - 4*s(u). Calculate x(b(r)).
96*r**2 + 2*r
Let n(k) = 21*k - 13*k - 39*k. Let w(u) = -4*u. Determine n(w(z)).
124*z
Let i(o) = -3*o. Let a(j) = 2*j**2 - 649*j. What is i(a(y))?
-6*y**2 + 1947*y
Let m(x) = -2*x - 1. Let z(o) = 17*o + 7. Let c(g) = -7*m(g) - z(g). Let v(t) = -5*t + 2. Give v(c(r)).
15*r + 2
Let x(o) = -2*o**2. Let h(v) = -515127*v. What is h(x(r))?
1030254*r**2
Let p(y) = 3*y + 18. Let l(t) = 9*t**2 - 33*t. What is p(l(f))?
27*f**2 - 99*f + 18
Let n(x) = -1. Let a(q) = 15*q - 3. Let p(t) = -7*t + 1. Let c(m) = -4*a(m) - 9*p(m). Let r(i) = -c(i) - 3*n(i). Let d(l) = l + l - 5*l. What is d(r(w))?
9*w
Let f(k) = -k + k + 2*k. Let x(j) be the third derivative of -j**6/60 - 13*j**3/6 - 7*j**2. Let c(d) be the first derivative of x(d). What is f(c(w))?
-12*w**2
Let m(f) = 87*f**2. Let a(b) = 156*b**2 + 1 - 1 - 78*b**2 - 71*b**2. Determine a(m(k)).
52983*k**4
Let m(p) = -p. Suppose 3*k + 39 = 6*k. Let g(w) = k + 15*w + 5*w - 13. Give m(g(o)).
-20*o
Let x(i) = -9*i**2 + 33*i. Let g(f) = -f**2 + 4*f. Let q(d) = -33*g(d) + 4*x(d). Let w(t) be the third derivative of t**5/30 + t**2. Determine w(q(k)).
18*k**4
Let g(p) = p**2 - 7*p. Let q(d) = -28*d**2 + 51*d**2 - 27*d**2. What is g(q(c))?
16*c**4 + 28*c**2
Let d(x) = -37*x - 18*x + 119 - 119. Let g(h) = h. What is g(d(l))?
-55*l
Let q(o) = -156*o. Let x(w) = -434*w**2 + 1. Give q(x(r)).
67704*r**2 - 156
Let f(t) = 14*t. Let q(h) = -348*h + 5. Determine f(q(v)).
-4872*v + 70
Suppose x = -4*x + 10. Let a(i) = i - i - 3*i**x. Let q(b) = b**2 + 3*b - 3. Let s(p) = p**2 + 2*p - 2. Let l(u) = -2*q(u) + 3*s(u). Give a(l(f)).
-3*f**4
Let c(g) = 2*g + 2. Let i(t) = t. Let l(a) = c(a) - 3*i(a). Let w(j) = 1. Let x(u) = -2*l(u) + 4*w(u). Let d(o) = -o**2 + 5*o. Calculate x(d(q)).
-2*q**2 + 10*q
Let t(v) be the second derivative of -7*v**3/3 + 455*v. Let c(f) = -7*f**2. Give c(t(u)).
-1372*u**2
Let g(b) = -2*b**2 + 8*b + 8. Let n(r) = r + 1. Let m(o) = g(o) - 8*n(o). Let i(h) = 2*h**2 - 5. Let a(k) = k**2 - 6. Let l(c) = -5*a(c) + 6*i(c). Give l(m(d)).
28*d**4
Let o(y) = -43*y - 47 - 43 + 90. Let x(d) = -8*d. Determine x(o(r)).
344*r
Let h(v) = -8*v. Let c(x) = -17*x**2 - 2*x + 30. What is h(c(f))?
136*f**2 + 16*f - 240
Let g(t) = 7*t**2. Let j(u) = -75*u - 8. Let i(a) = -76*a - 10. Let f(b) = 4*i(b) - 5*j(b). What is g(f(s))?
35287*s**2
Let x(t) = -3*t. Let o(m) = 8*m - 1. Let n(w) = -2*w**2 - 8*w - 12. Let l(g) = -n(g) - o(g). Determine l(x(p)).
18*p**2 + 13
Let y = 0 - -4. Let p(s) = -10*s - 5. Let l(d) = 9*d + 4. Let t(x) = y*p(x) + 5*l(x). Let q(i) = -3*i - 15 - 72 + 5*i + 87. Determine t(q(r)).
10*r
Let w(j) = 11*j**2 + 2. Let n(z) = 9*z**2 + 16*z. Determine n(w(f)).
1089*f**4 + 572*f**2 + 68
Let u(j) = -23*j**2 + 5 - 5 + 21*j**2. Suppose 0 = -q + 8 - 3. Let l(c) = -4*c**2 + q*c**2 + c**2. Calculate u(l(k)).
-8*k**4
Let y(n) = -3*n. Let w(r) be the second derivative of -r**6/240 - 3*r**4/4 - r. Let p(o) be the third derivative of w(o). Calculate y(p(c)).
9*c
Let d(g) = 8*g**2. Suppose -14 = -2*a + 5*y, 6*y - 4 = -5*a + 3*y. Let o(k) = 3 - 5 + 3*k**2 + a. Give d(o(u)).
72*u**4
Let f(z) be the first derivative of z**6/60 + z**3/3 + 2. Let v(b) be the third derivative of f(b). Let o(d) = d**2. What is v(o(j))?
6*j**4
Let g(n) = -n + 44827. Let s(z) = 2*z**2. Calculate s(g(t)).
2*t**2 - 179308*t + 4018919858
Let g(s) = -18*s**2. Let w(x) = -4968*x. Determine g(w(q)).
-444258432*q**2
Let w(m) = 3*m - 7. Let b(f) = -31*f - 28*f - 2 + 60*f. Let o(k) = 14*b(k) - 4*w(k). Let n(z) = 28*z. What is n(o(j))?
56*j
Let c(y) = -101*y + 186*y - 93*y. Let v(n) = 2*n - 15. Calculate c(v(t)).
-16*t + 120
Let o(u) = -32 - 2*u**2 + 27 + 6*u**2 - 5*u. Let k = 4 + 2. Let v(w) = -5*w**2 + 6*w + 6. Let q(n) = k*o(n) + 5*v(n). Let m(b) = 3*b. Give q(m(a)).
-9*a**2
Let n(g) = 88*g. Let b(i) be the second derivative of -i**4/12 - 144*i. What is n(b(l))?
-88*l**2
Let q(p) be the third derivative of -7*p**5/30 - 2*p**2. Let b = 5 + 4. Let k(g) = -g - 9*g + b*g. Determine q(k(t)).
-14*t**2
Let j(f) = -2*f**2 + 3*f - 3. Let x(u) = -6*u**2 + 10*u - 10. Let g(d) = 10*j(d) - 3*x(d). Let s(n) = 844 - 844 - 7*n**2. Give s(g(q)).
-28*q**4
Let n(y) = -7*y**2. Let m(h) be the third derivative of 23*h**5/60 + 258*h**2. Determine n(m(k)).
-3703*k**4
Let u(l) = 2786*l**2. Let f(b) = -5*b. What is u(f(q))?
69650*q**2
Suppose -1 - 2 = q. Let t(c) = 3*c + 4. Let s(j) = 2*j + 3. Let k(l) = q*t(l) + 4*s(l). Let a(n) = -3*n**2. Calculate a(k(i)).
-3*i**2
Let d(p) = -978*p. Let g(k) = -133*k**2 + 135*k**2 + k - 4*k + 3*k. Give g(d(u)).
1912968*u**2
Let q(u) = -24*u. Let i(a) = -32*a**2 - 7*a. Determine q(i(g)).
768*g**2 + 168*g
Suppose -4*v - 4 = -6*v - 2*i, -2*v + 12 = 4*i. Let z(y) = -1. Let d(b) = -b - 3. Let a(c) = v*d(c) + 6*z(c). Let h(u) = -6*u**2. Determine h(a(p)).
-24*p**2
Let b(j) = 4 + 0 + j - 4. Let n(r) = -r + 5*r - 3*r. What is b(n(l))?
l
Let l = -411 - -411. Let w(d) be the second derivative of 0*d**3 + 0*d**2 + l - 7*d + 1/4*d**4. Let z(h) = -5*h**2. What is w(z(a))?
75*a**4
Let s(d) = 24*d + 2. Let a(k) = 4808*k**2. Give s(a(q)).
115392*q**2 + 2
Let x(v) be the first derivative of 1/3*v**3 - 30 + 0*v + 0*v**2. Let c(o) = -6*o**2 - 2*o**2 - 2*o**2. C
|
{
"pile_set_name": "DM Mathematics"
}
|
(-12)/18 - (-6)/9. Suppose -4*r + 1185 - 373 = f. What are the prime factors of r?
7, 29
Let l = -368 + 520. Let z = 2 - l. Let v = -81 - z. List the prime factors of v.
3, 23
Let h be (14/(-21))/((-2)/(-15)). Let c(v) = -4*v - 9. Let j be c(h). Suppose b = f + 5, f + j = 2*b + 2. What are the prime factors of b?
2
Suppose -2*q + 8*q = 720. Suppose 269 = 3*o - 2*f, -5*o + 324 = f - q. List the prime factors of o.
89
Let b(f) = -f**2 + 7*f + 13. Let q be b(8). Suppose s = 2*k - 6, 0 = q*k - s - 9 - 9. What are the prime factors of (0 - (1 - k)) + 25?
2, 7
Let f(t) = t**3 - 21*t**2 + 10*t - 48. What are the prime factors of f(21)?
2, 3
Let x = 26 - 24. What are the prime factors of x*(-1 + (-237)/(-6))?
7, 11
Suppose -9*z + 10*z - 4 = 0. Suppose -z*k + 2*p + 940 = 0, 3*p = k + 5*p - 230. What are the prime factors of k?
2, 3, 13
Suppose 0 = -2*z - 2*n, 2*n + 14 = 5*z - 14. Let p be 1/z + (-186)/(-24). Suppose -p + 86 = 3*t. What are the prime factors of t?
2, 13
Let y be 4/(-8)*16*-41. Let w = -206 + y. Suppose 4*x = 3*c - w, -x = -5*c - 4*x + 155. What are the prime factors of c?
2, 17
Suppose -5*h + 8 = -h. What are the prime factors of 101 + 3 + -1 - h/2?
2, 3, 17
Suppose 0 = -2*f, -f = -5*s - 2*f + 205. Let u = -34 + s. List the prime factors of u.
7
Suppose -10*l - 10368 = -16*l. List the prime factors of l.
2, 3
Let l = 18 - 11. Let f = l + 25. What are the prime factors of f?
2
What are the prime factors of 588 + (1 - 3) + -3?
11, 53
Let q = -22 + 12. Let b = 56 + -39. List the prime factors of q/(-20) + b/2.
3
Let x(g) = 7*g**2 + 22*g + 1 - 24*g + 3*g**2. List the prime factors of x(1).
3
Let g be ((-28)/10)/(3/90). Let y = -52 - g. What are the prime factors of y?
2
Let u = -6114 + 8728. What are the prime factors of u?
2, 1307
Let d = 20 + -20. Suppose d*y + 156 = 6*y. What are the prime factors of y?
2, 13
Suppose 0 = -i + 3*q + 113, 0 = -10*i + 6*i - 2*q + 466. What are the prime factors of i?
2, 29
Suppose 2403 = 2*c - 4009. List the prime factors of c.
2, 7, 229
Let m = 799 - 604. What are the prime factors of m?
3, 5, 13
Let t = -48 - -50. Suppose -t*v - 2*v = -40. List the prime factors of v.
2, 5
Suppose -r = 31 - 3. Let b be r/6*18/(-7). Let c = b + -3. List the prime factors of c.
3
Let k be 38/8 - (-3)/(-4). Suppose 125 = s + k*s. Let i = s - 15. List the prime factors of i.
2, 5
Let d(s) = 40*s**2 - 13*s + 42. What are the prime factors of d(4)?
2, 3, 5, 7
Let z = 19 - 16. What are the prime factors of 2/z*84 + -2?
2, 3
Let w(j) = 3*j**2 - 23*j + 31. Let y(n) = -2*n**2 + 12*n - 16. Let t(k) = -3*w(k) - 5*y(k). List the prime factors of t(-12).
23
Let t = -368 + 229. Let k = -78 - t. List the prime factors of -1*(-1 - 0 - k).
2, 31
Suppose 4*r - 2*a - 659 = 649, 0 = -4*a - 8. Suppose 10*q = 8*q + r. List the prime factors of q.
163
Suppose -4*f = -35 + 7. Suppose -3*l + 2*t = 4, 3*l + 3*t - f = 8*l. What are the prime factors of (76/(-2))/l + 2?
3, 7
Let s(t) = t**2 - 5*t + 3. Let q be s(3). Let f be 577 + (q/1)/3. List the prime factors of 3/(-7) - f/(-21).
3
Suppose 0 = 3*n - 5*b + 43, 46 + 25 = -3*n - 2*b. Let k be (2/5)/(n/(-210)). Suppose k*m - 16 = -0*m. What are the prime factors of m?
2
Let s(f) = -f + 1. Let n(g) = -8*g + 11. Let c(w) = n(w) - 4*s(w). What are the prime factors of c(-3)?
19
Let t(m) = m**3 - 12*m**2 + 2*m - 7. Suppose -2*k - 3*q - 12 = -4*k, 0 = k - q - 8. What are the prime factors of t(k)?
17
Suppose -2*m - 2*b + 12 = -6*b, 4*b + 8 = m. Suppose m*z + 6 = 14. Suppose 39 = z*p - 27. What are the prime factors of p?
3, 11
Let x be (-14)/35 - 1544/(-10). Let a = x + -79. List the prime factors of a.
3, 5
Suppose -4*i = i - 15. Suppose -2*z = i*z - 25, 2*j - 5*z = 55. List the prime factors of j.
2, 5
Suppose 315 = 7*w - 476. List the prime factors of w.
113
Suppose 0 = 2*k - 5*c - 70, -4*c - 15 = 1. What are the prime factors of k?
5
Suppose -18*s = -7942 - 38138. List the prime factors of s.
2, 5
Let a = 282 - 55. List the prime factors of a.
227
Suppose 6*k - 29729 = -6329. What are the prime factors of k?
2, 3, 5, 13
What are the prime factors of (375/(-6))/((-6)/12)?
5
Suppose -a - 2 = 0, 4*u = -a + 10347 + 1243. What are the prime factors of u?
2, 3, 7, 23
Let f be (-3)/(4/(-18 + -2)). Suppose -3*i = -174 - f. What are the prime factors of i?
3, 7
Let u(z) = -58*z + 3. What are the prime factors of u(-2)?
7, 17
Let q = -57 + 55. Let h(o) = -229*o**2 - o. Let y be h(-1). What are the prime factors of y/(-12) - (q - 0)?
3, 7
Let h be (6/9)/(56/(-12) + 4). List the prime factors of 26 + (1 - h/(-1)) + 1.
3
What are the prime factors of -5 - -1222 - (10 + -7)?
2, 607
Let v(g) = -g**3 - 10*g**2 - g - 5. Let h be v(-10). Let r = 22 - h. What are the prime factors of r?
17
Suppose 5*o - 12200 = 26*k - 22*k, -2*o = 3*k - 4880. What are the prime factors of o?
2, 5, 61
Suppose -22*s - 23733 = -76071. List the prime factors of s.
3, 13, 61
Let c = 2060 + 1684. Suppose 9*f - c = -3*f. List the prime factors of f.
2, 3, 13
Suppose z = d + 14, -3*z - 47 = 3*d - 5*z. Let p be -1*(-2)/(-2)*d. Let t = 3 + p. List the prime factors of t.
2, 11
Let q = 8561 + -4929. List the prime factors of q.
2, 227
Suppose -4*p + 5*j + 0 = 23, -j - 8 = p. Let g(v) = -9*v - 25. What are the prime factors of g(p)?
2, 19
Suppose 0 = -16*l + 14493 + 4403. List the prime factors of l.
1181
Let n = -946 + 1353. What are the prime factors of n?
11, 37
Let q be 256/(-3)*3*-1. Suppose 0 = 6*k - 344 - q. List the prime factors of k.
2, 5
Suppose 0*y + y = 2. Let a(j) = 14*j - 9*j**2 + 2*j**3 - 3*j**3 + 19*j**y - 7. What are the prime factors of a(11)?
2, 13
Let g(d) = 52*d + 42. List the prime factors of g(11).
2, 307
Let z be (-5 - -17)*(-2)/4. Let l be z/15*(-1 + -4). What are the prime factors of 260/12 + l/6?
2, 11
Let d(t) = -13*t - 13 - 14*t + 17*t. What are the prime factors of d(-7)?
3, 19
Let t(y) = y**3 + 52*y**2 - 59*y + 49. List the prime factors of t(-53).
367
Suppose -15*m + 4620 = -7590. List the prime factors of m.
2, 11, 37
Suppose 0 = -4*l - 5*v + 644, 5*l - 13*v + 15*v - 805 = 0. What are the prime factors of l?
7, 23
Let x = -16 + 21. Suppose -4*m - y + 391 = 0, 2*m + 111 - 284 = -x*y. List the prime factors of m.
3, 11
Let d be (525/14)/5 - 3/2. Let z = -27 - -53. Let h = d + z. What are the prime factors of h?
2
Suppose -8*t + 3025 = -4*t - x, -x = 3*t - 2274. List the prime factors of t.
757
Let h be (-3 - -10)/1 - 0. Suppose 0 = -5*d - 3*s - 7 + 26, h = d - s. Suppose -33 = -d*m + 2. List the prime factors of m.
7
Suppose 3*x - 5*w + 3 + 1 = 0, 0 = -2*x - w + 6. Let p(y) = 3*y**3 - 3*y**2 + 3*y - 3. List the prime factors of p(x).
3, 5
List the prime factors of (-1 + 392)*((-25)/5 - -7).
2, 17, 23
Let t(n) = -n + 2 + 0 - 1. Suppose 3*m - 21 = 3*q, 16*m - 19*m + 5 = 5*q. List the prime factors of t(q).
3
Let d be 1*-47*1*-1. Let s be 12/42 - (3 - (-523)/(-7)). Let b = s - d. What are the prime factors of b?
5
Let c = 31 + 238. List the prime factors of c.
269
Let c = 156 - 140. Suppose 2*j - 4 = 0, 2*a - 178 = 3*j - c. List the prime factors of a.
2, 3, 7
Let i = -1160 + 2684. List the prime factors of i.
2, 3, 127
What are the prime factors of -9*36/(-15)*35?
2, 3, 7
Suppose 3*v + v = 2*q + 8, q = -v + 5. Suppose 0*u + 3*u + 2*c - 324 = 0, -6 = -q*c. What are the prime factors of u?
2, 53
Suppose 64*x - 23241 = 3*x. List the prime factors of x.
3, 127
Let x = -45 - -79. Let s = 17 + x. List the prime factors of s.
3, 17
Suppose 0 = 2*t + t - 4*k - 2681, 5*t + k - 4453 = 0. What are the prime factors of t?
3, 11
Suppose 8 = 4*k - 8. Suppose -5*v = l + 18, 3*l - 26 = -2*l + k*v. Suppose l*w = w + 37. List the prime factors of w.
37
Suppose k + 126 = -3*z, 3*z + z = 2*k + 222. Let o = -77 - k. Suppose -7*u = -3*u - o. List the prime factors of u.
2, 5
What are the prime factors of 280 + 12/10*105/63?
2, 3, 47
Let b = -1035 + 1296. List the prime factors of b.
3, 29
Suppose c + 0*a + 5*a - 3 = 0, -2*c - 3*a + 41 = 0. Suppose 4*h - 12 - 16 = 4*d, c = -4*d + 5*h. Let t(g) = -g**2 - 9*g + 9. What are the prime factors of t(d)?
23
Let u be -10 + -6*(-7)/14. Suppose -10 = 2*o + 3*y, -2*o = -3*o + 5*y + 21. List the prime factors of ((-14)/u)/(o/22).
2, 11
Let u(c) = c**3 - 3*c**2 + 4*c - 2. Let l be u(2). List the pri
|
{
"pile_set_name": "DM Mathematics"
}
|
True
Let b(t) = -t**2 - t + 2. Let p be b(-2). Let y(s) = s**3 + 3*s - 4 + 3 + p*s + 7*s**2. Is y(-5) a prime number?
False
Let n be 2/(((-16)/18)/4). Let q(k) = -k**3 - 8*k**2 + 8*k + 13. Let o be q(n). Let c = o - 0. Is c a prime number?
False
Let u(w) be the second derivative of -w + 7/2*w**2 + 2/3*w**3 + 7/12*w**4 + 0 + 1/20*w**5. Is u(-5) composite?
False
Let t be (-1)/4 + (-314)/(-8). Let j = 22 + t. Suppose -7 = -2*o + j. Is o a prime number?
False
Let f(b) = -b - 6. Let p be f(-8). Suppose 5*l - 40 = -7*r + 2*r, 32 = 4*r - p*l. Suppose 2*u - r + 20 = 2*j, 3*u - 32 = -2*j. Is j a composite number?
True
Suppose -5*g = -0 - 10. Suppose 0*w - g*r = -w + 62, 0 = -4*w - 5*r + 235. Suppose -k + w = 3*k. Is k composite?
True
Suppose -f + 32 = 2*n + 3*f, -5*f = 4*n - 55. Is (-4)/10 - (-894)/n a composite number?
False
Suppose -5*w = 22 - 7, -5*g = -3*w - 24. Suppose 4*n - 81 = -2*v + 3, 4*n + g*v - 88 = 0. Is n composite?
False
Let p(a) = 52*a - 1. Let k be p(1). Suppose -k = -j - 0*d + d, -5*j = 5*d - 275. Is j a prime number?
True
Let q be (-1)/(1/(-562)) + 0. Let s = q + -315. Is s composite?
True
Let g = -6 + 6. Let c(k) = k + 89. Is c(g) prime?
True
Let k = 82 - 8. Let r = 27 + -24. Suppose r*x - x = k. Is x prime?
True
Let p(q) be the second derivative of q**5/20 + q**4/2 + 3*q**2/2 - 3*q. Let o be p(-6). Suppose 0 = 3*l - o*r - r - 73, 2*l - 43 = -3*r. Is l a prime number?
True
Let t = -19 + 11. Let a = 3 + t. Let n(b) = b**3 + 5*b**2 - 4*b - 5. Is n(a) a prime number?
False
Let v = 307 - 210. Let l = v + 52. Is l prime?
True
Let n(v) = -v**2 - 8*v - 3. Let u be n(-7). Let i be 2/u + (-22)/(-4). Let s(m) = -m**3 + 8*m**2 - 2*m - 3. Is s(i) composite?
True
Suppose 0 = -8*c + 3*c + 1270. Suppose -b + c - 99 = 0. Is b prime?
False
Let s = 4 - 5. Is 12 + -1 + (-2)/s a composite number?
False
Let p(k) be the second derivative of k**5/5 + k**4/4 + k**3/3 + 2*k**2 + 2*k. Is p(3) a prime number?
False
Let g be ((-4)/(-6))/(2/12). Suppose g*x - 18 = -2. Is x a prime number?
False
Let z(x) = -x**3 - 7*x**2 - 6*x + 7. Let w be z(-6). Let c = w - -3. Suppose 4*p = 8, -4*i + 5*p + c + 128 = 0. Is i a composite number?
False
Let c be 1/4 - (-12)/16. Is (c/1)/((-1)/(-53)) prime?
True
Let w(a) = 5*a**2 + 9*a + 6. Is w(8) prime?
False
Let o(q) = -7*q + 4*q**2 - 13*q**2 - q**3 - q. Let t be o(-8). Suppose 2*x + t*x = -5*d + 175, -5*x - 2*d + 427 = 0. Is x composite?
True
Suppose -2*a - 4*n = 4 + 14, -3*n = -5*a + 7. Let d be 1/(2 + a)*3. Suppose d*i - 161 = 52. Is i composite?
False
Suppose -5*f = 5*x - 1875, 0*x + 2*x - 746 = -f. Is x composite?
True
Suppose 0*u = -2*u + 356. Suppose 376 = -5*s - 89. Let p = u + s. Is p a prime number?
False
Let t(u) = u**3 - 4*u**2 + 3*u + 1. Suppose 7*d - 6*d = 5. Let s be t(d). Suppose -4*k - s = -p, -3*p + 0*p = 2*k - 151. Is p prime?
False
Let t(i) = i**3 - 6*i**2 - 3*i + 9. Is t(8) prime?
True
Let g = 858 + -479. Is g a prime number?
True
Let t = 380 + -198. Let x = 41 + t. Is x composite?
False
Let m be 5 + 0 - 12/6. Let v(r) = 3*r**2 - 3*r + 3. Is v(m) prime?
False
Let h = 12 + -8. Suppose 278 = 4*o + 2*z, h*o + 2*z - 209 = o. Is o a prime number?
False
Is (24/(-9))/(-8)*483 prime?
False
Suppose 0*a - 3*a + 921 = 0. Let l = a + -186. Let p = l + -74. Is p prime?
True
Let o be (-4)/(16/(-12)) + -2. Is 12/30*(54 + o) prime?
False
Let z be ((-2)/2)/((-5)/15). Suppose -z*r + 4*r - 191 = 0. Is r prime?
True
Suppose -n - 1 = -2*b, 0 = b + 4*n - n - 11. Suppose 678 = b*v - 952. Is v composite?
True
Let r(l) = 207*l**2 + 16*l - 5. Is r(4) composite?
False
Suppose d - 6*d + 955 = 0. Is d a prime number?
True
Suppose -v + 7 = 4*q, 5*q + v - 6 = -3*v. Suppose w - 337 = -q*t - 136, 0 = -4*w + t + 813. Is w composite?
True
Suppose 0 = 5*p + g - 586, -p + 110 = 2*g - 0*g. Is p a composite number?
True
Let l(z) = 118*z**2 + 3*z + 3. Is l(4) prime?
False
Let l = -7 + 16. Let y = l + 6. Is y a prime number?
False
Let l = 6 + -2. Suppose -l*u = 1 - 77. Is u prime?
True
Let y(a) be the first derivative of -a**2/2 + 21*a + 6. Is y(0) composite?
True
Is 16/56 + (-20070)/(-21) + -1 composite?
True
Suppose -2*g = 5*o - 9200, -5*o + 3853 + 5332 = -g. Is o a composite number?
True
Let l(d) = 115*d**3 + d**2 - 1. Let n(t) = t**3 + 3*t**2 + 2*t + 1. Let s be n(-2). Let o be l(s). Suppose 5*x - 6*i = -i + o, -3*x = -i - 73. Is x composite?
True
Let a be (2/4)/(2/84). Let q = -7 + a. Is q a prime number?
False
Suppose 3*s - 10 = -4*r + 119, 5*r + 24 = s. Let t be 8/(-6)*12/8. Let n = t + s. Is n a prime number?
True
Let h(j) = j**3 + 2*j**2 - 1. Let o be h(1). Let u = 4 - o. Suppose -5*c + 91 = 2*v, u*v + c + 3*c - 86 = 0. Is v prime?
False
Let w be (-5 + 2)*(4 - 3). Let f be (1/w)/(1/(-6)). Suppose f*m + 5*k = 90, -3*k - k - 159 = -5*m. Is m a prime number?
False
Let f(k) = 0 - 3 + 5*k - 5*k + 10*k. Let o(h) = -h**3 + 5*h**2 + 4. Let i be o(5). Is f(i) composite?
False
Let v(o) = 2*o**2 + 10*o + 7. Is v(9) a composite number?
True
Let u(d) = 4*d**2 + 9*d. Let x(q) = -q - 2. Let f be x(5). Is u(f) composite?
True
Is 2 + -1 + 2 + 1 + 249 prime?
False
Let v = 458 - 327. Is v composite?
False
Let m(l) = 31*l - l + 23*l + 3 - 5. Is m(11) a composite number?
True
Let d = -66 - -353. Is d a prime number?
False
Suppose 4*h + 4*m - 96 = -0*m, -2*h + 50 = m. Let k = -5 + 2. Let n = k + h. Is n a prime number?
True
Suppose 6 = -5*n + 4*n. Let p(w) = -8*w - 8. Let z be p(n). Suppose 5*i - 235 = z. Is i prime?
False
Suppose o + 6 = -x, 5*o - 3*x = -0*x - 14. Let f(l) = -l**3 - 3*l**2 - 4*l - 6. Is f(o) a prime number?
False
Let o = -19 + 7. Suppose -114 = 4*z + 3*p, -p = 2*z - 0*p + 56. Is (-1)/((o/z)/(-4)) prime?
False
Let c(j) = -j**3 - 10*j**2 - 6*j - 6. Let a be c(-7). Is 2 + -2 - a/3 a composite number?
False
Suppose 0*v - 5*k = -v + 23, 8 = 4*v + k. Is -2 + (-1 + 71 - v) a prime number?
False
Let t be (8/(-12))/(3/18). Let w = -1 - t. Is w a composite number?
False
Let d be (3 - 2) + 4 - 0. Let f(q) = 54*q - 7. Is f(d) composite?
False
Is 2759*(3 + 6/(-3)) a prime number?
False
Let w be 5/1*(-48)/(-20). Suppose -2*u - w = -2*s, 2*u + u = -s - 10. Suppose 5*p - s*x = 79 - 13, -4*p + 4*x = -48. Is p prime?
False
Let j(t) = t + 2. Let n be j(0). Let i = 4 + 0. Suppose -5*d + 89 = 4*b, i*d + 29 - 75 = -n*b. Is b a composite number?
True
Let v = 2054 - -2261. Is v prime?
False
Let y(x) = 0 - x**2 - 7*x - 5 + 25*x. Is y(12) prime?
True
Let g = 200 - 119. Suppose m - g = 2*m. Let i = -46 - m. Is i a composite number?
True
Let g = -11 - -6. Let i = g - -228. Is i prime?
True
Let m = 0 - 2. Let z(c) = 34*c - 12. Let d be z(-7). Is m/(-12) - d/12 prime?
False
Suppose -3*k + 92 = k. Is k composite?
False
Suppose -5*z - 831 = -13416. Is z composite?
True
Let t(m) = 5*m - 4*m - 1 - 2*m - m**2 + 3*m**2. Let p be t(-1). Suppose -5*d + 3*j = -3*d - 53, -p*j + 130 = 4*d. Is d prime?
True
Let v = -1 - 0. Let r be ((-1 - 1)*v)/1. Is r - (1 - 8)*5 a composite number?
False
Let r(c) = -2*c**3 - c**2 + 2*c + 2. Let n be 10/(-35) + (-12)/7. Let f be r(n). Let z = 75 - f. Is z a composite number?
True
Suppose 3*w + 3*f - 1326 = 0, 2 = 2*f + 10. Is w a composite number?
True
Let s = 21 - 15. Suppose -3*m + s = -99. Is m a composite number?
True
Let u = -7 - -11. Let t(z) = z**3 - 4*z**2 + 1. Let m be t(u). Suppose -19 = -a - 3*f, -2*a + 3*a - 3*f - m = 0. Is a a composite number?
True
Let x = 1440 + 95. Is x composite?
True
Suppose -2*u + l + 23 = 0, -4*l + 68 - 16 = 4*u. Let t = u + 107. Let x = t + -30. Is x a prime number?
True
Let k(u) = -22*u**3 - 2*u**2 - 2*u - 1. Let o = -2 - -1. Is k(o) a composite number?
True
Let m = -6 - -6. Suppose 2*f = -m + 4. Suppose c + 2*d - 23 = 7*d, 0 = c + f*d + 5. Is c composite?
False
Let l = 18 - 12. Let n(z) = 5*z**2 - z + 89 + 2*z - l*z**2. Is n(0) a composite number?
False
Let p = -119 + 202. Is p prime?
True
Suppose 25 = 5*z, 3*w = 5*z - 3*z + 32. Let h = w - 1. Is h a prime number?
True
Suppose 4*s + s = 5965. Is s composite?
False
Suppose -4*d = 4*w - 12, -w - w = -5*d - 6. Suppose 2*h - 1174 = -d*h. Is h a composite number?
False
Let a = -3 - -18. Let k = a + -10. Suppose k*d = d + 1060. Is d prime?
False
Is 1/(0 - 3)*-942 prime?
False
Suppose 450 = -s + 3*s - 4*z, -2*s = 4*z - 434. Suppose k - s = -60. Is k a prime num
|
{
"pile_set_name": "DM Mathematics"
}
|
a/(-30) + 1/(-3).
70
Suppose -4*r - 23 = 2*i - 137, 2*r - i = 63. What is the lowest common multiple of r and 48?
240
Let x be (8 + 0)*(-5)/((-20)/(-48)). Suppose a + 36 = 4*a. What is the lowest common multiple of a and ((-2)/4)/(4/x)*1?
12
Let l = -140/237 + 6689/23226. What is the common denominator of l and 4/21?
294
Let i be (34/(-51))/(2/9). Calculate the lowest common multiple of 9 and 1 - i - (-2 - 1).
63
Let a = 29 - 40. Let r = a + 15. Let f = 6 + 6. Calculate the smallest common multiple of r and f.
12
Suppose -778 = p + l, -2*l - 2 = -l. What is the least common multiple of p/(-88) + 2/11 and 7?
63
Calculate the common denominator of -115/102 and ((-10)/42)/(0 + (-72)/(-84)).
306
Let o = 61 + 70. Let u = -109 + o. Calculate the least common multiple of 14 and u.
154
Let k = 7085719/27190 + -1/5438. Let b = -15901/60 + k. What is the common denominator of b and 69/44?
132
Let a(f) = -117*f - 122*f + 5 + 240*f. Let d be -2 + 2 - (-4)/(-1). What is the lowest common multiple of a(d) and 10?
10
Let y = 58537/84660 + -53/415. What is the common denominator of 113/42 and y?
1428
Let q(c) = -5*c**3 - 14*c**2 - 2*c + 1. Suppose 2*b - 4*b = -k + 10, k - 5*b + 5 = 0. What is the least common multiple of q(-3) and k?
80
Let n = -437106856475/3612 + 121015191. Let j = 179 + -23068/129. Let d = j + n. What is the common denominator of d and -91/20?
140
Suppose 4*o - 219 = -f + 3*o, 0 = 4*f + 2*o - 874. What is the least common multiple of f and 3?
654
Find the common denominator of ((-496)/72)/((-14)/3*1) and 17/24.
168
Let t be 3558/(-9) + (-2)/3. Let f = -2249 + t. Let c = 52877/20 + f. What is the common denominator of c and -9/2?
20
Let u = 559 - 92231/165. Calculate the common denominator of -44/3 and u.
165
Let t = -6221/4 + 1532. What is the common denominator of -16/119 and t?
476
Let h = -31408/105 + 2071/7. Calculate the common denominator of h and 23/48.
240
Let j = 2 - -8. Find the common denominator of 28/9 and -6 + 5 + j/(-14).
63
Let f(m) = -m**3 + 12*m**2 + 28*m + 1. Calculate the lowest common multiple of f(14) and 8.
8
Let v(t) = -t**3 + 9*t**2 + 25*t + 3. Let z be v(11). Find the common denominator of (-118)/z + 10 + -7 and -19/4.
36
Suppose f + 18 = -4*t + 4*f, -2*f - 5 = 3*t. Calculate the common denominator of ((5/20)/(33/(-1170)))/t and 87/8.
88
Let a(f) = 4*f**3 + f. Let x be a(1). Let u(h) = h - 7. Let y be u(-7). Calculate the common denominator of (2/y)/(x/265) and 51/5.
35
Suppose -2*l + 7 = -5*z + 44, 5*z - 53 = -2*l. What is the common denominator of z/6 + 202/(-96) and 71/8?
48
Calculate the common denominator of ((-2)/171)/((5488/984)/7) and 51/10.
27930
Let w(l) = l - 8. Let i be w(-4). Let t be (-838)/(-7)*i/288. Let s = -11/42 + t. What is the common denominator of -43/11 and s?
44
Suppose -i - 13435 = -12*s + 8*s, -5*i - 16775 = -5*s. Calculate the lowest common multiple of 46 and 6/(-57) - s/(-152).
506
Suppose 2*i + 2*y = -3*y + 107, 3*i + 4*y - 178 = 0. Calculate the lowest common multiple of i and 16.
528
Calculate the common denominator of 31/128 and (-95)/152 - (0 - -4).
128
Let b(c) = 7*c - 6. Let l be b(-6). Calculate the common denominator of -3/10 and ((-280)/l)/((-8)/(-3)).
80
Suppose -3*x = -5*g - 6, 4*g + 6*x - x = 10. Let r be g/4 - -1*2. Let d = r + 10. Calculate the least common multiple of d and 8.
24
Let r = -1836 - -1861. Let v(o) = -o**3 + 5*o**2 - o - 3. What is the lowest common multiple of r and v(4)?
225
Suppose 0 = s + 5*d + 9, -4*d + 12 = s - 6*d. What is the lowest common multiple of 6 and s?
6
Let u = 59 + -31. Find the common denominator of (150/(-9))/(u/5) and 2 + (1 + 1)/40.
420
Let a(l) = l**2 + 0*l - 3*l**3 + 4*l**3 - 2*l + 3*l. Let h be a(0). What is the smallest common multiple of 8/(-4)*(-5 + h) and 6?
30
Calculate the least common multiple of (-38)/285 - 334/(-30) and 103.
1133
Let q = -5 + 8. Let r be (-4 - -10)*1/1. Suppose 0 = -5*m + u + 54, -u - 28 - r = -q*m. Calculate the lowest common multiple of m and 8.
40
Let o = -1/380 + -15197/1140. Let z be (-1292)/36 + (-2)/(-9). Let h = z - o. What is the common denominator of h and 77/10?
30
Let k = 22 + -20. Calculate the least common multiple of 18 and 1/(-3)*(-32 + k).
90
Suppose x = 4*o + 5, -4*x + 0 + 20 = 5*o. Let d(m) = 6*m + 2 - 2*m - x*m. Calculate the least common multiple of d(-2) and 6.
12
Let l = 6 + -11. Find the common denominator of (-7)/35*205/4 and 50/(-32)*6/l.
8
Let z be 527/3090 - (-2)/(-12). Let s = 13384/1545 + z. Calculate the common denominator of 75/8 and s.
24
What is the common denominator of -7 - 10700/(-952) - (-24)/204 and (-1)/(72/(-10))*2?
126
Suppose -2*n + 8 + 20 = 0. Let d(s) = 3 + 2*s**3 + 0*s**3 + 7*s - 10*s - s**3 + 3*s**2. Calculate the least common multiple of d(-3) and n.
84
Let o = -3815908 - -30412637/8. Let j = o - -14365. Let q = j + -503/16. What is the common denominator of 15/16 and q?
16
Suppose -5*h + 25 = 0, -h + 65 = -0*a + 4*a. Calculate the least common multiple of a and (10 + -5)*-1 - -38.
165
Suppose -b - v + 2*v = 5, -3*b = v - 1. Let m be (b/2)/((-4)/40). Let u(w) = 3*w - 5. What is the smallest common multiple of u(m) and 20?
20
Let k(s) = 2*s - 18. Let j = 11 - -2. Let t be k(j). Find the common denominator of t/24 + 274/132 and -101/16.
176
Let q be 38268187/80 + (-30)/(-50). Let i = q - 478115. Let z = -238 + i. What is the common denominator of 53/44 and z?
176
Suppose 4*t + 0*t = 0. Suppose t = -3*c - 2*c + 25. Suppose -c*i + 0*i + 35 = 0. Calculate the lowest common multiple of 8 and i.
56
Let d = -41 + 50. Let i(y) be the second derivative of y**5/20 - 11*y**4/12 + 5*y**3/3 + 9*y**2/2 - 4*y. Calculate the lowest common multiple of d and i(10).
9
What is the smallest common multiple of 7751/92 + 1/(-4) and 12?
84
Let q = -106 - -116. Calculate the lowest common multiple of 11 and q.
110
Let p(s) = 2*s - 10. Let r be p(8). Calculate the common denominator of 0 + (2 + 1)/r and -2 - 1/((-3)/(-20)).
6
Let k be (-14)/2 + 4 + 50. Suppose -k = -5*c + 3. Calculate the least common multiple of (-49)/(-3) - (-3)/(-9) and c.
80
What is the smallest common multiple of 2140 and (29 - (-8 - -17)) + 0?
2140
Let z(h) = h**2. Let i(b) = b**3 + 10*b**2 + b + 11. Let m = -2 + -8. What is the least common multiple of z(-2) and i(m)?
4
Let u(b) = -2*b**3 - b**2 + 5*b + 4. Suppose 9*n - 4*n = 100. Suppose 0 = x - 0 - n. Calculate the smallest common multiple of u(-2) and x.
60
Suppose -h + 26 = -5*a, -5*a = 19 - 4. Let g = 1 + -1. Suppose g = -5*v + 39 + 1. What is the smallest common multiple of v and h?
88
Let j be (-15)/(-75) + 19751/(-55). Let s = 38369/110 + j. What is the common denominator of s and -91/15?
30
Let h(x) be the second derivative of x**4/6 - x**3/6 - x**2/2 - 7*x. Let z be h(-1). What is the smallest common multiple of 18 and ((-18)/(-45))/(z/20)?
36
Let j = 171149/27 + -12679/2. What is the common denominator of 137/24 and j?
216
Let u(m) = 23*m**2 + m. Let i be u(-1). Find the common denominator of (-8)/16 + (-44)/(-5) and 2/18*i/(-2).
90
Let a(t) = 13*t - 55. What is the smallest common multiple of a(11) and 232?
2552
Let h(x) be the third derivative of x**6/30 + x**3/6 + 8*x**2. Let u be h(1). Let b = 3 + u. What is the lowest common multiple of 16 and b?
16
Let n be (-7430)/(-264)*126/(-380). Let t = 1234154/209 + -5905. Let w = t - n. What is the common denominator of -61/3 and w?
24
Let h be ((-2)/(-3))/((-80)/(-139452)). Let p = 1161 - h. Calculate the common denominator of p and -52/3.
30
Let l(z) = 2*z + 7. Let p be l(-5). Let t be 8/(-2)*(p + 2). What is the lowest common multiple of 18 and (-318)/(-27) - t/(-18)?
36
Suppose 12*h - 11*h = 0. Suppose 3*l + y - 4*y = 18, h = -l + 4*y - 6. Calculate the lowest common multiple of 18 and l.
90
Let y = -25 + 29. Suppose -7*j + y*j = -30. Calculate the smallest common multiple of j and 4*((-21)/(-2))/3.
70
Let k(d) = d**2 + 2*d - 13. Let i be k(-5). Suppose -5 = 5*w, 0 = i*f - 2*w + w - 57. What is the lowest common multiple of f and 11?
308
Let f be ((-100)/(-70))/((-36)/(-160797)). Let t(c) = -c**2 + 6361. Let w be t(0). Let p = f - w. Calculate the common denominator of -30/11 and p.
66
Let p = 5503/990 + -46/55. Calculate the common denominator of p and 82/465.
2790
Let b be (-8972)/(-8)*(-11098)/(
|
{
"pile_set_name": "DM Mathematics"
}
|
8. Factor y*v**3 - 32/7*v**2 + 30/7*v + 0.
2*v*(v - 15)*(v - 1)/7
Let g(w) be the second derivative of 5*w**7/2016 - w**6/96 - w**4/12 - 21*w**2/2 - 46*w. Let a(b) be the third derivative of g(b). Factor a(c).
5*c*(5*c - 6)/4
Let r(s) = -146*s + 27453. Let t be r(188). What is v in 2/3*v**t - 10/3*v**2 + 2/3*v**4 + 8/3*v - 10/3*v**3 + 8/3 = 0?
-2, -1, 1, 2
Let x(c) be the second derivative of c**5/10 + 21*c**4/2 + 734*c**3/3 + 672*c**2 + 1648*c - 2. Find p, given that x(p) = 0.
-48, -14, -1
Let y(i) = -86*i + 1379. Let x be y(16). Suppose 0*a + 4*a**2 + 0 + 1/3*a**x = 0. What is a?
-12, 0
Suppose 608/13*p**3 + 134/13*p - 496/13*p**2 - 12/13 = 0. What is p?
1/4, 6/19
Let l(b) be the third derivative of b**6/240 + 5*b**5/12 + 703*b**2. Factor l(i).
i**2*(i + 50)/2
Let p(u) = -1824*u - 7125. Let b(y) = -35*y - 137. Let a(h) = 209*b(h) - 4*p(h). Let f be a(-7). Determine q so that -1/2 - 1/2*q**4 + f*q + 0*q**3 + q**2 = 0.
-1, 1
Let o(q) be the first derivative of 4*q**3/3 + 460*q**2 + 52900*q + 1874. Determine k so that o(k) = 0.
-115
Let o be (5285/105 + -15 - 35)*2*6. Factor 16/15*d**2 - 2/3*d**3 + 0 - 8/15*d + 2/15*d**o.
2*d*(d - 2)**2*(d - 1)/15
Let i(o) = 3*o**4 - 263*o**3 - 634*o**2 + 9*o + 864. Let a(n) = 2*n**4 - 258*n**3 - 636*n**2 + 10*n + 864. Let c(t) = -7*a(t) + 6*i(t). Let c(l) = 0. What is l?
-54, -2, 1
Let j(k) = 45*k - 5*k - 2*k**2 + 4*k - 36 - 14*k. Let r(i) = -4*i**2 + 29*i - 37. Let w(z) = -3*j(z) + 2*r(z). Factor w(h).
-2*(h - 1)*(h + 17)
Let 6*q**4 - 7*q**4 + 1453*q**2 - 131072 - 4909*q**2 + 100*q**3 + 21677*q + 23379*q = 0. What is q?
4, 32
Solve -3*c**4 - 172*c**2 + 383*c**2 + 88*c**3 - 175*c**2 - 121*c**3 = 0 for c.
-12, 0, 1
Let f(k) = -3*k - 11. Let u be f(-7). Let b = -107 - -122. Factor -b*q**2 + 8*q**3 + 0*q**3 + 11*q**3 + u*q - 14*q**3.
5*q*(q - 2)*(q - 1)
Let x(v) be the first derivative of -183 - 35*v**3 - 225/2*v**2 + 5/4*v**4 - 115*v. Solve x(s) = 0 for s.
-1, 23
Let l = 203 - 125. Let m = l + -78. Factor 4/5*t**2 + m + 4/5*t.
4*t*(t + 1)/5
Let k be (-20262)/48 + -1 - -7. Let j = -416 - k. Determine n, given that 0 + j*n**2 + 3/8*n = 0.
-3, 0
Let -20*o**4 - 789*o**2 + 136 + 2*o**4 - 231*o**3 + 8 + 222*o - 948*o = 0. Calculate o.
-8, -3, -2, 1/6
Let v be 2/3 - 5220/(-270). Factor v*q + 8*q - 13*q - 4*q + 21*q - 4*q**2.
-4*q*(q - 8)
Let u = 18/941 + 3674/4705. Let l(a) be the first derivative of u*a**5 + 0*a**3 + 0*a - 2 + 3/4*a**4 - 1/4*a**2 + 1/4*a**6. Suppose l(y) = 0. Calculate y.
-1, 0, 1/3
Suppose 27*q + 21 - 4/3*q**2 = 0. Calculate q.
-3/4, 21
Determine k, given that 32/13 - 116/13*k - 6/13*k**4 + 44/13*k**3 + 46/13*k**2 = 0.
-2, 1/3, 1, 8
Let c(u) be the second derivative of -u**6/30 + u**5/4 - u**4/3 - 127*u + 1. Factor c(t).
-t**2*(t - 4)*(t - 1)
Let p(c) be the third derivative of c**5/60 + c**4/6 + c**3/3 - 6*c**2. Let w be p(-4). Determine h, given that -h - 4*h - 17*h**w + 3*h = 0.
-2/17, 0
Let s be (-5)/(-50)*7/238. Let n = s - -677/1020. What is f in 1/2*f + n - 7/6*f**2 = 0?
-4/7, 1
Suppose r = d - r, 0 = 4*d + 2*r - 20. Suppose 4*y + c = 14, -4*y - 4*c = -y - d. Solve 73*i**2 + 12*i**y + 107*i**2 - 100*i**2 + 32*i + 56*i**3 = 0.
-2, -2/3, 0
Solve 3/7*a**2 - 51/7*a + 216/7 = 0 for a.
8, 9
Determine w, given that 56 + 595*w + 97*w**2 - 655*w - 93*w**2 = 0.
1, 14
Let u = -793316 - -3966673/5. Factor -18*v - u + 3/5*v**2.
3*(v - 31)*(v + 1)/5
Suppose 3*y - 9 = 0, 17*y = -2*p + 14*y + 181. Let m + 197*m**4 + 85*m**2 - 392*m**4 + 200*m**4 - p*m + 30 - 35*m**3 = 0. What is m?
1, 2, 3
Let a(w) be the third derivative of -w**8/84 - 2*w**7/315 + 11*w**6/45 + 4*w**5/45 - 20*w**4/9 - 95*w**2 - 5. Suppose a(t) = 0. What is t?
-2, 0, 5/3, 2
Let l(g) = 2704*g**2 - 1430*g + 196. Let q(z) = 13*z. Let p(m) = l(m) - 2*q(m). Find a, given that p(a) = 0.
7/26
Let f = -480 - -488. Determine j so that -46*j + 50 + 325*j - 127*j - 194*j**2 - f*j**3 = 0.
-25, -1/4, 1
Let c(p) = -2*p**2 - 9*p + 1. Let m be c(-4). Suppose 3*x = -15, 5*x + 10 = -m*s - 0*x. Factor 42 + 2*j**s - 19 + 10*j - 8*j**2 - 27.
2*(j - 2)*(j - 1)**2
Factor -16/3*i**3 - 2/3*i**4 - 12*i - 14*i**2 + 0.
-2*i*(i + 2)*(i + 3)**2/3
Let p = -1423273 + 2846587/2. Let -p*i - 1/2*i**2 + 21 = 0. What is i?
-42, 1
Let o(d) = 3*d**3 + d**2 + 10. Let z(v) = -31*v**3 - 4990*v**2 - 8266800*v - 4574296100. Let m(t) = -10*o(t) - z(t). Factor m(x).
(x + 1660)**3
Let w = 1534/1479 + 929906/10353. Determine p so that 128/7*p**4 - 528/7*p**2 + w*p**3 + 6/7*p**5 + 0 - 242/7*p = 0.
-11, -1/3, 0, 1
Suppose -931*x + 1386 = -238*x. Factor 3/8*h**x + 243/4*h + 19683/8.
3*(h + 81)**2/8
Let a = -4312 - -4314. Let y(k) be the third derivative of -1/270*k**5 + 0*k + 1/108*k**4 + 0*k**3 + 0 - 15*k**a. Suppose y(i) = 0. Calculate i.
0, 1
Let l(r) be the third derivative of r**8/672 - 17*r**7/420 + 3*r**6/16 - 43*r**5/120 + 7*r**4/24 - 306*r**2. Factor l(f).
f*(f - 14)*(f - 1)**3/2
Factor 2/13*j**2 + 762/13*j - 764/13.
2*(j - 1)*(j + 382)/13
Let h(f) be the second derivative of -1/6*f**6 - 35/12*f**4 + 0 + 5/2*f**3 + 39*f + 5/4*f**5 + 0*f**2. Factor h(l).
-5*l*(l - 3)*(l - 1)**2
Let s(z) be the first derivative of z**4/32 - 31*z**3/8 - 143*z**2/8 - 24*z - 1320. Let s(i) = 0. What is i?
-2, -1, 96
Let q = -464855/3 - -154952. Find j such that -q*j**2 - 20/3 - 4*j = 0.
-10, -2
Let w(o) be the third derivative of 11/4*o**4 + 1/3*o**5 - 85 + 3*o**3 - 2*o**2 + 0*o. Solve w(i) = 0.
-3, -3/10
Let j be -1 + 161/(42/6). Suppose 2 = -5*f + j. Find q, given that 0 + 6/19*q**f - 4/19*q + 14/19*q**2 - 16/19*q**3 = 0.
0, 2/3, 1
Let z(m) be the first derivative of 0*m - 12 + 1/2*m**4 - 4*m**2 + 0*m**3. Factor z(s).
2*s*(s - 2)*(s + 2)
Let k(x) be the third derivative of -x**7/10080 - 5*x**6/288 - 125*x**5/96 + 49*x**4/6 - 214*x**2. Let p(c) be the second derivative of k(c). Factor p(s).
-(s + 25)**2/4
Let x(c) = -2*c**2 - c + 1. Let r(m) = 2*m. Let t(g) = 19*g - 5. Let w(f) = 6*r(f) - t(f). Let v(u) = -w(u) + x(u). Determine b, given that v(b) = 0.
1, 2
Suppose 2 = -a - 5*u, -5*a - 3*u = -5*u - 17. Find b, given that -9*b**3 + 154 - 148 + 0*b**a + 9*b - 6*b**2 = 0.
-1, -2/3, 1
Factor -2/9*h**4 - 20/3*h**3 - 1352/9*h - 182/3*h**2 + 0.
-2*h*(h + 4)*(h + 13)**2/9
Let s(f) = 21*f**2 - 4*f - 9. Let k(d) = -7*d**2 + 12. Let l(a) = -a**2 + 2. Let w(p) = -k(p) + 5*l(p). Let x(m) = -2*s(m) + 6*w(m). Factor x(t).
-2*(3*t + 1)*(5*t - 3)
Let i(r) = -r**3 - 32*r**2 - 29*r - 21. Let z be i(-31). Let g = -497/6 - z. Factor 0*o + 0 + 1/6*o**3 + 0*o**2 + g*o**4.
o**3*(o + 1)/6
Let t(s) be the third derivative of 20*s**4 + 3*s**2 + 1/80*s**6 + 8 - 19/20*s**5 + 0*s + 200*s**3. Solve t(x) = 0.
-2, 20
Let n(w) = 14553*w + 29127. Let a be n(-2). Factor 4 + a*m - 11/2*m**2.
-(m - 4)*(11*m + 2)/2
Factor -2 - 14*u**3 + 4*u - 4441*u**4 + 46*u + 2 + 4440*u**4 - 35*u**2.
-u*(u - 1)*(u + 5)*(u + 10)
Let f be 1/(2/(-48)*3*-4). Factor 22/5*k - 1/5*k**f + 0.
-k*(k - 22)/5
Factor -35*c + 131*c - 4*c**3 + 25*c**2 - 3*c**2 + 21*c**2 + 49*c**2.
-4*c*(c - 24)*(c + 1)
Let t be 612/144 - 2/8. Factor 499 + 670 - 128*j - 145 + t*j**2.
4*(j - 16)**2
Let m(g) be the third derivative of -14*g**2 + 0*g**3 - 5/6*g**5 - 1/8*g**6 + 0 + 1/42*g**7 + 0*g**4 + 0*g. Factor m(f).
5*f**2*(f - 5)*(f + 2)
Factor -47769 + 3*r**2 - 4*r**2 + 796*r + 42050 - 152685.
-(r - 398)**2
Let h(w) = -w**3 + 18*w**2 - 14*w - 24. Let p be h(17). Find i such that 28*i**5 + p*i**5 - 51*i**5 - 3*i**4 + 19*i**4 + 4*i**3 - 24*i**2 = 0.
-3, -2, 0, 1
Let u(v) be the third derivative of v**6/1980 - v**5/165 + 22*v**3/3 - 2*v**2 + 5*v. Let g(n) be the first derivative of u(n). Factor g(r).
2*r*(r - 4)/11
Let v(o) be the third derivative of o**5/100 - 39*o**4/10 - 157*o**3/10 - 2*o**2 + 317*o. Suppose v(t) = 0. Calculate t.
-1, 157
Let n(s) be the third derivative of -s**6/2520 + 3*s**5/35 - 54*s**4/7 + 161*s**3/6 + 2*s**2 - 226*s. Let d(t) be the first derivative of n(t). Factor d(w).
-(w - 36)**2/7
Let f(u) be the second derivative of -u**6/15 + 13*u**5/30 + 5*u**4/9 - 8*u + 2. What is q in f(q) = 0?
-2/3, 0, 5
Let x(z) be the first derivative of 75/4*z**4 + 13*z**5 - 65/3*z**3 + 0*z - 5/2*z**2 - 35/3*z**6 - 81. Determine v so that x(v) = 0.
-1, -1/14, 0, 1
Suppose m = -4 + 7. What is o in o**3 + 2*o**4 + 18*o**2 - 18*o**m + 4 + 7*o**3 - 14*o = 0?
1, 2
Let n(d) = 3*d**2 + 71
|
{
"pile_set_name": "DM Mathematics"
}
|
= g*q - 13. Find the second derivative of 7*f - 2*f**x - f**2 + 4*f**2 wrt f.
2
Differentiate -125*q**4 + q**2 + 21 + 62*q**3 - 62*q**3 + 64*q**4 wrt q.
-244*q**3 + 2*q
Let z(t) be the third derivative of 0*t**5 + 10/3*t**3 - 9/70*t**7 + 0 + t + 0*t**6 + 20*t**2 + 0*t**4. Differentiate z(d) with respect to d.
-108*d**3
Let l(h) be the second derivative of 23/2*h**2 - 15*h + 47/6*h**3 + 0. Differentiate l(v) wrt v.
47
Let x be ((-2)/11 - (-384)/176) + -1. Let c(o) = o**2 + o. Let y(z) = -7*z**2. Let a(l) = x*y(l) + 14*c(l). Find the second derivative of a(t) wrt t.
14
Let z(y) be the third derivative of -33*y**7/70 + y**5/20 + 3*y**4/8 + 707*y**2. Find the third derivative of z(a) wrt a.
-2376*a
Suppose -4*j - 16 + 140 = 0. What is the second derivative of -2 - j*x**4 + 2 + 21*x + 46*x**4 wrt x?
180*x**2
Let f(l) be the third derivative of l**6/120 + 35*l**5/4 + 32*l**3 - 165*l**2 + 2. Find the first derivative of f(n) wrt n.
3*n**2 + 1050*n
Let q = -679 - -679. Let m(l) be the second derivative of q*l**5 - 1/5*l**6 + 5*l + 0*l**2 + 0 + 5/12*l**4 + 0*l**3. What is the third derivative of m(a) wrt a?
-144*a
Let b(q) be the second derivative of -q**8/168 + 5*q**4/12 + 6*q**2 - 4*q. Let r(v) be the first derivative of b(v). Find the second derivative of r(w) wrt w.
-40*w**3
Let w(c) = 40*c**2 - 3*c - 11. Let q(t) = -39*t**2 + 4*t + 10. Let z(a) = -6*q(a) - 7*w(a). What is the second derivative of z(s) wrt s?
-92
Let x be -1*4*30/(-24). Find the third derivative of 23*y**2 - 147*y**x + 74*y**5 + 67*y**5 wrt y.
-360*y**2
Let m(k) = 11*k**2 - k + 1. Let r(h) = -173*h**2 - h - 194. Let s(c) = 3*m(c) - r(c). Find the second derivative of s(f) wrt f.
412
Let m(u) = -u**2 + u + 2. Let h be m(0). What is the first derivative of h - 10*v**3 - 28*v**3 - 13 - 3*v**3 wrt v?
-123*v**2
Let g(l) be the third derivative of 0*l**5 + 0*l**4 + 0 - 8*l**2 + 4/3*l**3 + 0*l - 1/120*l**6. What is the first derivative of g(x) wrt x?
-3*x**2
Let t(o) = o + 0*o + 3 - 7. Let v be t(8). What is the derivative of 17*u**2 - v - 7*u**2 + 0 - 4 wrt u?
20*u
Find the third derivative of 38*l - 88*l**3 - 70*l + 32*l - 32*l**2 - 48*l**2 wrt l.
-528
Let v(d) be the third derivative of 0*d**4 + 7/6*d**3 - 12*d**2 + 1/60*d**5 + 0 + 0*d. Differentiate v(c) wrt c.
2*c
Find the second derivative of -16*h**3 - 14 - 2*h - 26*h**3 - 34*h**3 wrt h.
-456*h
Let j(h) be the first derivative of -138*h**5/5 + 32*h + 27. Differentiate j(q) with respect to q.
-552*q**3
Suppose 5*o = -5*o + 60. What is the derivative of -17*t + 11*t + o*t - 17*t**3 + 13 wrt t?
-51*t**2
Let r(q) be the second derivative of -41*q**6/30 - 173*q**2/2 - 23*q + 4. Differentiate r(a) wrt a.
-164*a**3
Let g(a) be the second derivative of 131*a**7/21 - 275*a**3/6 - 277*a. What is the second derivative of g(j) wrt j?
5240*j**3
Differentiate 6*o**2 + 428 - 100 - 5*o**2 - 39*o**3 - 232 - 207 wrt o.
-117*o**2 + 2*o
Let p(v) = -v + 5. Let h be p(-2). Differentiate -33*z - 27 + 1 - h with respect to z.
-33
Let j be 2/3*159 - 2. Let q be j/28 - (-2)/7. Find the first derivative of 2*r**3 - q - 4 + 4 wrt r.
6*r**2
Let n(k) be the second derivative of 42*k**3 + 607*k**2/2 + 56*k + 3. Find the first derivative of n(j) wrt j.
252
Let z(r) be the second derivative of r**8/84 + r**6/360 + r**3/6 + 19*r. Let o(m) be the second derivative of z(m). Find the third derivative of o(c) wrt c.
480*c
Let w(j) = -133*j**2 - 7*j - 14. Let v(a) = 133*a**2 + 9*a + 17. Let t(u) = -2*v(u) - 3*w(u). Find the second derivative of t(m) wrt m.
266
Let c(o) be the third derivative of 2*o**7/105 - o**5/60 + o**3 - 7*o**2 + 16. What is the first derivative of c(l) wrt l?
16*l**3 - 2*l
Let h(z) = -z**3 - 9*z**2 - 4*z + 59. Let o(x) = x**3 - x. Let i(y) = h(y) - 4*o(y). Find the first derivative of i(t) wrt t.
-15*t**2 - 18*t
Let a(k) = -k**5 - k**3 - 3*k**2 - 3*k + 1. Let p(b) = b**5 + 2*b**3 + b**2 + 1. Let s(o) = -a(o) + p(o). What is the third derivative of s(c) wrt c?
120*c**2 + 18
Suppose r = 3*w - 7, -4*w - 3*r = -w - 3. Let h = -32 - -32. Find the third derivative of -250*b**w + 0*b + h*b + 247*b**2 - 7*b**3 wrt b.
-42
Let m(n) be the second derivative of 31*n**6/15 + 5*n**3/6 + 2*n**2 + 85*n. What is the second derivative of m(c) wrt c?
744*c**2
Let n be -3*(2 + (5 - (-8)/(-1))). Let l(w) be the first derivative of 0*w + 8 + 7/3*w**n + 1/5*w**5 + 0*w**2 + 0*w**4. Find the third derivative of l(a) wrt a.
24*a
What is the third derivative of -4*y + 2*y + 2 - 26*y**2 + 24*y**2 - 181*y**3 + 2*y wrt y?
-1086
Let q(c) = c**3 + 1. Let b(z) = 36*z**3 + 89*z**2 - 3. Let j(f) = -b(f) - 3*q(f). Find the third derivative of j(m) wrt m.
-234
Let u(p) be the third derivative of -6*p**2 + 0*p**3 + 0*p - 1/30*p**5 + 0 + 7/6*p**4. What is the second derivative of u(n) wrt n?
-4
Let d be 1/((10/4)/5). Let j(h) = -2*h**2 - 19 + 7*h**3 - 11 - 20 + 46. Let n(w) = w**2 - 1. Let z(b) = d*n(b) + j(b). Differentiate z(a) with respect to a.
21*a**2
Let l(b) = -11*b**3 - b**2 - 7*b + 64. Let x(o) = 11*o**3 + o**2 + 6*o - 62. Let d(s) = 6*l(s) + 7*x(s). Differentiate d(w) wrt w.
33*w**2 + 2*w
Find the third derivative of -62*d**2 + 374*d**2 - 521*d**6 + 147*d**2 - 127*d**6 wrt d.
-77760*d**3
Let g(o) be the first derivative of -8*o**2 + 0*o**3 + 10 - 9/4*o**4 + 0*o. Find the second derivative of g(n) wrt n.
-54*n
Let p(m) = m**5 - 4*m**4 - 39*m**2 - 656*m. Let v(z) = -z**5 + z**4 - z**2. Let n(x) = p(x) + 4*v(x). What is the second derivative of n(y) wrt y?
-60*y**3 - 86
Let j(i) = i**3 - 2*i + 1. Let g be j(2). Suppose -31*x + 42 = -10*x. Find the third derivative of 14*h**3 + 4*h**x - 14*h**3 + 2*h**g wrt h.
120*h**2
Let j(d) be the third derivative of 0*d**4 + 0*d**5 + 0*d - 1/120*d**6 + 7/6*d**3 + 0 - 15*d**2. Differentiate j(q) with respect to q.
-3*q**2
Let m(x) be the second derivative of 0*x**4 - 7*x - 9/2*x**2 + 0*x**3 + 0*x**5 + 0 + 1/3*x**6. Find the first derivative of m(u) wrt u.
40*u**3
Let m(c) = c + 7. Let i be m(-4). Suppose 0 = i*a - 3*y, 3*a + 4 = -5*y + 44. What is the second derivative of -p + p**5 + p - p - 7*p**a wrt p?
-120*p**3
Suppose 2*j + j + 48 = 0. Let r be j/(-9) + (-14)/(-63). Differentiate 7*w**r - 1 - 3 - 14*w**2 + 5 wrt w.
-14*w
Let c(v) be the first derivative of 0*v + 0*v**4 - 54/5*v**5 + 35 + 0*v**3 + 21/2*v**2. What is the second derivative of c(d) wrt d?
-648*d**2
Let y be 2/((-8)/12)*(-4)/3. Let q(v) = 15*v**2 - 11*v + 1. Let l(x) = 5*x**2 - 4*x. Let k(p) = y*q(p) - 11*l(p). What is the first derivative of k(g) wrt g?
10*g
Let b(s) be the third derivative of 17/60*s**6 + 0*s - 15*s**2 + 0*s**3 + 0 + 2/3*s**5 + 0*s**4. What is the third derivative of b(q) wrt q?
204
Let l(p) be the second derivative of 14*p + 7/10*p**6 + 0*p**4 + 0*p**3 + 0 + 0*p**5 + 12*p**2. Find the first derivative of l(d) wrt d.
84*d**3
Find the third derivative of 6*d**4 - 3*d**3 + 288 - 6*d**3 + 12*d**2 - 285 wrt d.
144*d - 54
Suppose 7*f - 16 = -2. Suppose -x - 10 = -5*h + 4*x, -x = -4. What is the third derivative of -5*q**3 + q**f + 5*q**3 - h*q**4 wrt q?
-144*q
Let p(y) = 17*y**2 - 2. Let t(m) = 35*m**2 - 3. Let b(f) = f**2. Let a(j) = -2*b(j) + t(j). Let s(r) = 6*a(r) - 11*p(r). Differentiate s(h) with respect to h.
22*h
Let c(g) be the third derivative of 5*g**9/18 + g**6/60 + g**5/6 + 3*g**3/2 + g**2 - 35*g. Find the third derivative of c(l) wrt l.
16800*l**3 + 12
Let n(u) = 93*u**5 - 4*u**4 - 75*u**2 - 8. Let a(k) = 93*k**5 - 5*k**4 - 76*k**2 - 10. Let s(r) = 4*a(r) - 5*n(r). Find the third derivative of s(l) wrt l.
-5580*l**2
Let u = -17 - -44. Let y = 31 - u. Find the third derivative of i**2 - i**2 + 2*i**y - 9*i**2 - 15*i**4 wrt i.
-312*i
Suppose -j - 13 = -4*f, -5*j - 14 = -5*f + 21. What is the first derivative of -20 + 15 + 2*d**f + 12*d**2 wrt d?
28*d
Let b(q) = 13*q**4 + 2*q**3 + 2*q**2 + q - 10. Let x(d) = 12*d**4 + 3*d**3 + 3*d**2 + 2*d - 9. Let w(c) = 3*b(c) - 2*x(c). Differentiate w(f) wrt f.
60*f**3 - 1
What is the first derivative of -71*f + 23 - 74 + 27 wrt f?
-71
Let f(w) be the second derivative of 443*w**4/12 - 10*w**3 + 2*w - 10. What is the second derivative of f(z) wrt z?
886
Let s(x) be the second derivative of x**5/20 - 3*x**4/4 - 11*x**3/6 + 7*x**2 + 4*x. Let a be s(10). What is the derivative of -v**a + v**4 + 6 + v**4 wrt v?
4*
|
{
"pile_set_name": "DM Mathematics"
}
|
206*y + 211*y - 51 = -2*m for m.
3
Solve b = -4*v - 24, 4*b + v + 64 = 43 for b.
-4
Solve 5*k - 32 = 7*i, 33*k - 36*k + 22 = -7*i for i.
-1
Solve -t - 82 = -4*f - 85, 4*f = 4*t + 24 for f.
-3
Solve 21*w - 26*w + 4*o = -58, 5*w - 3*o - 41 = 0 for w.
-2
Solve 5 = 4*o + 5*d, -32*o - 3 = -28*o - 3*d for o.
0
Solve 0 = 3*m + 559 - 529, -2*h + 42 = -4*m for h.
1
Solve 0 = -4*k + 16, 154*f - 151*f = 9*k - 33 for f.
1
Solve 0 = -5*s + 2*r - 8 + 36, -4*s + 12 = r for s.
4
Solve -42*w - 5*j - 20 = -42*w, 2*w + 10 = j for w.
-7
Solve -5*i = -3*t + 31, -16156*i + 16161*i - 3 = t for i.
4
Solve -w = -h - 3, 4*h + 227 = -3*w + 187 for w.
-4
Solve 20 = 4*y - 3*o, 486*y + 5*o = 485*y + 5 for y.
5
Solve 6*s + 0*s = -12, 5*u = s - 23 for u.
-5
Solve -4*k = 16, 23*m = 25*m - 4*k - 16 for m.
0
Solve -4*p + 5*x + 1389 = 1387, -4*p = -4*x - 4 for p.
3
Solve 3*j + 75*m - 76*m - 24 = 0, 37 = 2*j - 3*m for j.
5
Solve 25*l = 29*l - a - 16, 5*a = -l + 25 for l.
5
Solve 5359 = -2*q - 3*z + 5396, 0 = 2*q + 4*z - 40 for q.
14
Solve 4*a = 5*h - 44, -5*h + 47 = 5*a + 12 for h.
8
Solve 4*n = 3*d + 47, -14*n + 5*d - 1 + 138 = 0 for n.
8
Solve -4*i - 901 + 910 = -k, 47 = 5*i - 4*k for i.
-1
Solve 86*y + 2*j - 31 = 81*y, 23 - 5 = -3*y + 11*j for y.
5
Solve 3*y + b - 4 = 0, 80 = -5*y + 319*b - 314*b for y.
-3
Solve 3*a + 53 - 56 = 0, 0 = 4*y - 3*a + 15 for y.
-3
Solve -2*q - 3*k + 6 = 0, 5*k - 680 = 2*q - 670 for q.
0
Solve 4*k = 5*u + 1, 0 = -3307*k + 3303*k + 2*u - 2 for k.
-1
Solve 3*o = 5*l - 124 + 265, 2*o + 126 = -4*l for l.
-30
Solve 3*j - 7 = f, 0 = 3*j + 17*f - 21*f - 1 for j.
3
Solve 2*t - n = 4*t + 11, 0 = -3*t + n - 14 for t.
-5
Solve a = 4*x + 11, -829*a + 2*x = -828*a - 3 for a.
-5
Solve 7 = -3*r - 3*s + 5*s, -3*r + 7 = 2*s + 18 for r.
-3
Solve 15 - 20 = -5*d + 2*m, -4*d - 3*m = -27 for d.
3
Solve -2*k = -4, -114*m - k + 12 = -116*m for m.
-5
Solve 3*h + 19 = -24*d + 29*d, 4*d + 7 = -5*h for h.
-3
Solve 8 = 5*z + 4*b + 23, -5*b - 23 = 2*z for z.
1
Solve 0 = -3*s - 3*q + 15, -5*q = 7*s + 13*s - 24*s + 20 for s.
5
Solve -j + d + 17 = 0, 2*j - 76*d - 88 = -71*d for j.
-1
Solve -3*z + 5*l - 2 = 0, -4*z - 75 = 2*l - 55 for z.
-4
Solve 22 = -5*k - 3*u, -12024 = k - 5*u - 12042 for k.
-2
Solve 5*q + 573 - 596 = -4*g, 3*g - 6 = 0 for q.
3
Solve -f - 20 = -4*p, 0 = 2*p + 16 - 26 for f.
0
Solve 15*b - 16*b - 17 = -4*d, b = -4*b + 3*d for b.
3
Solve 5*u = -4*c + 15, 2*u - 9555 = -4*c - 9549 for c.
0
Solve 14*j - 5*h = 61, -18*j - 6*h - 2 = -17*j for j.
4
Solve 3*r + 2*j - 18 = 4, 24*r + 5*j - 121 = 0 for r.
4
Solve 4*m - 7 + 15 = 0, 3*a - 4*m - 20 = 0 for a.
4
Solve -2*t - 12 = 3*l, l - 566 = -2*t - 578 for l.
0
Solve -3*p = 267*s - 257*s - 46, 2*p = -2*s + 12 for p.
2
Solve 0 = 5*q - 20, u + 427*q = 425*q for u.
-8
Solve -4*g - 4 = -2*u, -68 = -2*g - 72 for u.
-2
Solve 21 = -t + 4*j, 77*t - 73*t + 17*j = 81 for t.
-1
Solve -4*y - b = 15, 2*b + 306 = 15*y + 368 for y.
-4
Solve -607 = -j - 610, -2*o - 5*j = 25 for o.
-5
Solve -j - 117 = -2*u - 125, -j + 11 = -3*u for j.
2
Solve -2641*q - 34 = 4*y - 2646*q, 0 = 5*y - 5*q + 40 for y.
-6
Solve 0 = -v - 2, -11 = -1282*f + 1279*f - 2*v for f.
5
Solve 11*m = -2*g + 7*m - 58, -4*g - m = 32 for g.
-5
Solve -q = -c, 3*q - 1069*c + 1073*c + 28 = 0 for q.
-4
Solve -5*i - 2*f = -5, 10*i - 5*f - 822 + 947 = 0 for i.
-5
Solve 38*o = -10*r + 41*o - 87, -2*o = 2 for r.
-9
Solve -2*o + 18 = -4*t, -37 = 2*t + 4*o - 9*o for t.
-1
Solve -23*s + 27*s - 6 = -q, 3*q + 74 = 34*s for s.
2
Solve 0 = 4*q + 4*y + 497 - 505, -4*q + 60 = -22*y for q.
4
Solve 173*r - a = 178*r + 12, -4*a = -5*r - 27 for r.
-3
Solve -5*c + 38 = -4*q, 33*c - 16*c - q = 18*c - 13 for c.
10
Solve -761*b + 11 = -765*b + 5*q, 4 = -4*q for b.
-4
Solve 0 = g + 2*o + 3, 0 = 32*g - 31*g + 5*o + 6 for g.
-1
Solve -5*r - 59 = 5*q - 79, -4 = -r + q for r.
4
Solve a + 2*q = 11, -5*a + 5*q - 247 = -242 for a.
3
Solve h - 5*n - 36 = 0, 2*h = -2*n + 232 - 220 for h.
11
Solve 2*f - 2*d = -8, 3*f - 2*d = -6170 + 6158 for f.
-4
Solve 13*b + 3*n + 48 = 0, 3*b - n + 30 = 24 for b.
-3
Solve -w - 16 = 0, -t + 661*w = 659*w - 50 + 13 for t.
5
Solve 3*k - j = -6, 4*k - 9 = 7*j - 17 for k.
-2
Solve 3*n + 5*a = 16, -2*n = -2*a - 1 + 17 for n.
-3
Solve 4*s - 5*o = -228 + 235, 16 = 5*s + o for s.
3
Solve 2*w - 2*o = 24, w + 7*o + 74 = 3*w for w.
2
Solve 5*r - 75 = 0, -15*x + r = -14*x + 17 for x.
-2
Solve -3*a - 18 = 3*i, -3*i + 80019 = -12*a + 79977 for a.
-4
Solve 0 = 5*x - 8*t - 125, 23*t = 26*t + 15 for x.
17
Solve 0 = -3*j - 6*u - 45, 5*j + 4*u - 9*u = -15 for j.
-7
Solve -4*y + 3 = 2*t + 5, -5*t + 2*y = -7 for t.
1
Solve 11*t = -5*z - 56, -4*t - 6*z + 3*z - 31 = 0 for t.
-1
Solve 231*q - 4*l = 226*q + 27, 5*q - 2*l - 21 = 0 for q.
3
Solve 2*i - 44 = k - 58, -5*k = -4*i - 46 for i.
-4
Solve -4*s - 3*g = -154 + 192, -4*s + 2*g = -12 for s.
-2
Solve -17 = d + 5*c, 4*d - 4*c + 7661 - 7689 = 0 for d.
3
Solve 3*h + 3 = -3*t, -1390*t - 5 = -1394*t - h for t.
2
Solve 5*f - 31 = -2*x + 5, -3*x - 5*f + 39 = 0 for x.
3
Solve -281*c = -279*c - x + 33, -3*c - 47 = -x for c.
-14
Solve 2*l - 140 = -3*x - 176, 4*x + l + 48 = 0 for x.
-12
Solve 3*i = -2*c - 13, 2*i + 255*c + 17 = 252*c for i.
-1
Solve 0 = 580*f - 582*f + 6, 4*m + 5*f = -5 for m.
-5
Solve b - 2*r + 7 = 0, r + 243 = 3*b + 259 for b.
-5
Solve t = 5*x + 5, 5*x - 5*t + 1161 = 1136 for x.
0
Solve 5 = -n, 106*f - 104*f = -3*n - 15 for f.
0
Solve 3*s - 4*n = 56, 7*s - 12*s - 3*n = -45 for s.
12
Solve 5*h - 27 = -5*r + 2*r, 5*h = 17*r + 4 - 57 for r.
4
Solve 39*q - 41*q + 10 = -4*m, 2*q - 1 = m for q.
-1
Solve -2*g - 109 = 3*f - 81, -56 = 4*g - 4*f for g.
-14
Solve -4*o - 10 = -2*h, -5*o + 383*h - 384*h - 9 = 0 for o.
-2
Solve -5118*d - 4*f = -5121*d + 19, -15 = -4*d - 5*f for d.
5
Solve -s - 10 = -3*n, 3*n = -317*s + 320*s + 30 for s.
-10
Solve -169*x + 5*b + 16 = -167*x, 4*b + 8 = 4*x for x.
-2
Solve -188*s + 186*s - 4*f = 4, 5*s + 2*f + 18 = 0 for s.
-4
Solve 5*z + y = -2, 12*y - 16*y + 15 = -3*z for z.
-1
Solve -3114*i - 5*w = -3117*i - 1, 4*i + 6 = 2*w for i.
-2
Solve 8*k - 12*k + 20 = 2*o, 11*k - 20 = 5*o + 7*k for o.
0
Solve d + 4 = 2*i, -500 = i + 4*d - 439 for i.
-5
Solve -4*u + 9 = 113*o - 114*o, 5*o = -5*u + 80 for u.
5
Solve 5*l + 3*h = 15, l + 531*h = 530*h + 5 for l.
0
Solve u + 9 = 5*x, 7*x + 72 = -5*u + 123 for u.
6
Solve 4*k - 16 = 4*g, -25*g + 26 = -41*g + 11*g + 2*k for g.
-6
Solve 0 = -856*o + 861*o - 6*b + 34, 3*o - 3*b = -18 for o.
-2
Solve -6*a + 15 = -3*b, a - 5*b = 341 - 352 for a.
4
Solve -56*g + 30*g + n + 24 = 0, -4*n + 8 = 0 for g.
1
Solve -38*h + 43*h + 22 = 32*w, 4*h - 11 = -3*w for w.
1
Solve 2*y + 20 = 0, -3*y - 125 + 100 = -5*u for u.
-1
Solve -4*a + 4*h = -28, 3*a - 68*h = -64*h + 23 for a.
5
Solve 5*q - 10 = -5*r, -13*r - 3*q + 344 = 348 for r.
-1
Solve -b + 24 = -4*o, -767*b = -2*o - 768*b - 18 for o.
-7
Solve 8 = 4*w + 2*q, 3*w - 5*q - 297 + 265 = 0 for w.
4
Solve -7*t + 3*t + k + 24 = 0, 1816*t - 1811*t - 3*k = 37 for t.
5
Solve 2*w - 45 = -2*l - 3*l, 1082*l - 1087*l + 25 = -2*w for w.
5
Solve -23 = 2*x - 3*c, -919*x + 923*x - 5*c + 41 = 0 for x.
-4
Solve -16*w + 14*w + 3*h = 61, w + 549 = 32*h for w.
-5
Solve 0 = 5*y + 2*d + 4565 - 4623, -130 = -5*y - 5*d for y.
2
Solve -4*d - 28 = -4*c, 2*d - c + 32 = 27 for d.
2
Solve 0 = n + 19, 14*c - 9*c + 3*n + 37 + 20 = 0 for c.
0
Solve -76*l + 8 = n - 78*l, -4*n = -2*l - 8 for n.
0
Solve -194*h = -197*h - o - 30, 2*h = 4*o - 34 for h.
-11
Solve -4*h + 12 = -5*y, -3*y + h - 1090 = -1080 for y.
-4
Solve -2 = 2*v, 10*v + 2*v = 4*y + 11*v - 17 for y.
4
Solve -3*r - 38*h + 43*h - 26 = 0, -2*r + 5*h - 24 = 0 for r.
-2
Solve -38*h - 30*h + p = -55*h + 52, 2*h - 2*p = -32 for h.
-3
Solve -n + 4*n = -q + 7, 0 = 3*n + 1 - 13 for q.
-5
Solve y + 3*y - s + 1077 = 1055, -s = -2 for y.
-5
Solve -z = b, -164*b + 3*z - 24 = -161*b for b.
-4
Solve 101 = i - 10*m, 0 = 3*i + 4*m - 509 + 546 for i.
1
Solve 0 = -4*j + 5*s + 9, s + 2633 - 2724 = 24*j for j.
-4
Solve 1 = -h + 4*v, 95*h - 91*h + 4 = 3*v for h.
-1
Solve o + 39 = -3*f + 26, -4*f - 12 = -4*o for f.
-4
Solve 2*v + 3*o = -6, 5*o - 112 = -3*v - 122 for v.
0
Solve 19*m + 2*b - 74 = 0, 2*b - 2 - 40 = -3*m for m.
2
Solve -4*w + 5*a - 1 = 33, w + 138 = 66*a for w.
-6
Solve -3*x = m - 7, 2*x + 84*m - 86*m = 18 for x.
4
Solve -574*v + 0 = -
|
{
"pile_set_name": "DM Mathematics"
}
|
7?
1797
Calculate the smallest common multiple of 20 and 9970.
19940
What is the smallest common multiple of 95 and 55?
1045
Calculate the smallest common multiple of 6 and 79.
474
Calculate the common denominator of 31/80 and 63/130.
1040
Calculate the common denominator of -47/324 and -43/54.
324
What is the common denominator of 109/2604 and -79/620?
13020
Calculate the common denominator of -149/6 and 63/32.
96
Calculate the smallest common multiple of 88 and 12.
264
What is the common denominator of 113/12 and -119/7380?
7380
Calculate the least common multiple of 54 and 507.
9126
What is the lowest common multiple of 1345 and 9?
12105
What is the common denominator of 113/1785 and -173/1050?
17850
What is the common denominator of -16/287 and 17/28?
1148
Calculate the lowest common multiple of 189 and 81.
567
Calculate the common denominator of 37/8 and 57/9515.
76120
What is the least common multiple of 4676 and 1336?
9352
Calculate the common denominator of -167/1518 and -35/363.
16698
Find the common denominator of 64/357 and -89/357.
357
Find the common denominator of 95/6 and -64/153.
306
Calculate the common denominator of -53/470 and 11/20.
940
Calculate the common denominator of -15/532 and -83/4.
532
Calculate the lowest common multiple of 1040 and 20.
1040
Find the common denominator of 32/7 and -67/513.
3591
Find the common denominator of 71/240 and 73/9480.
18960
What is the least common multiple of 1350 and 750?
6750
What is the smallest common multiple of 4 and 6380?
6380
Find the common denominator of -103/6 and -83/255.
510
What is the common denominator of -73/32 and -69/8?
32
What is the common denominator of -35/374 and 19/132?
2244
What is the lowest common multiple of 11128 and 4?
11128
What is the lowest common multiple of 1989 and 26?
3978
What is the common denominator of 4/7 and 83/76?
532
Find the common denominator of -7/801 and 13/90.
8010
Find the common denominator of 25/391 and 31/6.
2346
Find the common denominator of -81/700 and -109/308.
7700
Find the common denominator of 6/47 and 7/9.
423
What is the smallest common multiple of 12 and 15330?
30660
Calculate the least common multiple of 4312 and 12936.
12936
Calculate the least common multiple of 126 and 84.
252
Find the common denominator of 67/210 and 89/1071.
10710
Calculate the common denominator of -48/83 and 81/8.
664
Calculate the common denominator of -47/60 and -93/380.
1140
Find the common denominator of -31/134 and -17/20.
1340
What is the smallest common multiple of 734 and 13?
9542
Calculate the least common multiple of 16 and 9.
144
Calculate the lowest common multiple of 1508 and 132.
49764
Calculate the common denominator of 8/69 and 44/207.
207
Calculate the least common multiple of 133 and 2546.
17822
Find the common denominator of 67/40 and -53/2032.
10160
Calculate the lowest common multiple of 2528 and 316.
2528
Calculate the common denominator of 48/1595 and -51/203.
11165
Calculate the least common multiple of 16 and 524.
2096
What is the smallest common multiple of 36 and 8?
72
Calculate the common denominator of 31/1386 and -31/1386.
1386
Find the common denominator of -117/224 and -63/976.
13664
Calculate the smallest common multiple of 48 and 81.
1296
Find the common denominator of 121/102 and 8/221.
1326
What is the lowest common multiple of 4709 and 1?
4709
What is the smallest common multiple of 2 and 791?
1582
Calculate the least common multiple of 3108 and 120.
31080
Calculate the common denominator of -56/915 and -55/1647.
8235
What is the smallest common multiple of 82 and 82?
82
Calculate the common denominator of 61/10 and 43/3332.
16660
What is the common denominator of -1/20 and 95/88?
440
What is the smallest common multiple of 2342 and 12?
14052
Calculate the least common multiple of 87 and 3.
87
What is the smallest common multiple of 45 and 1?
45
Calculate the smallest common multiple of 1041 and 3.
1041
What is the least common multiple of 42 and 72?
504
Calculate the common denominator of 1/3932 and -31/5.
19660
Calculate the lowest common multiple of 20 and 232.
1160
Calculate the common denominator of 109/156 and 83/182.
1092
What is the lowest common multiple of 30 and 102?
510
What is the smallest common multiple of 85 and 175?
2975
What is the smallest common multiple of 1435 and 328?
11480
What is the lowest common multiple of 44 and 48?
528
What is the smallest common multiple of 96 and 72?
288
What is the common denominator of -31/150 and 3/14?
1050
Calculate the smallest common multiple of 8 and 104.
104
Find the common denominator of -5/308 and 101/1188.
8316
Calculate the lowest common multiple of 28 and 63.
252
Calculate the lowest common multiple of 1330 and 1540.
29260
Calculate the common denominator of 38/3 and -107/258.
258
Calculate the lowest common multiple of 54 and 90.
270
Find the common denominator of 35/221 and 13/17.
221
Calculate the smallest common multiple of 8988 and 9.
26964
Calculate the common denominator of -77/32 and -89/8.
32
What is the smallest common multiple of 40 and 80?
80
Find the common denominator of 52/3735 and 59/2490.
7470
Calculate the common denominator of -38/525 and -131/42.
1050
What is the least common multiple of 15 and 645?
645
Find the common denominator of 2/21 and -16/1167.
8169
What is the lowest common multiple of 12 and 1518?
3036
What is the smallest common multiple of 275 and 495?
2475
Calculate the least common multiple of 14 and 11.
154
What is the common denominator of 36/35 and 17/150?
1050
Find the common denominator of 133/54 and 145/294.
2646
Find the common denominator of -54/55 and -31/17.
935
Calculate the lowest common multiple of 1981 and 4528.
31696
Find the common denominator of 67/50 and 89/165.
1650
What is the common denominator of 129/70 and 5/4347?
43470
Calculate the lowest common multiple of 810 and 630.
5670
What is the common denominator of -67/276 and 101/30?
1380
Calculate the common denominator of -65/264 and -49/7944.
87384
What is the common denominator of -19/258 and -53/4?
516
Calculate the least common multiple of 120 and 6.
120
What is the lowest common multiple of 31 and 2?
62
What is the lowest common multiple of 120 and 60?
120
What is the common denominator of 14/41469 and -2/27?
373221
What is the smallest common multiple of 34 and 170?
170
What is the common denominator of -18/95 and -179/1410?
26790
Calculate the least common multiple of 85 and 187.
935
What is the least common multiple of 43442 and 20?
434420
Calculate the smallest common multiple of 12 and 382.
2292
Calculate the lowest common multiple of 1402 and 1402.
1402
What is the least common multiple of 30 and 50?
150
Find the common denominator of -77/30 and 53/126.
630
What is the least common multiple of 6 and 5622?
5622
What is the common denominator of -39/5 and 52/5535?
5535
Find the common denominator of 43/380 and 85/684.
3420
What is the common denominator of -11/18 and -89/28?
252
What is the common denominator of -41/3429 and -13/6858?
6858
Calculate the smallest common multiple of 30 and 120.
120
Calculate the lowest common multiple of 98 and 266.
1862
Calculate the common denominator of -91/1026 and -67/243.
9234
Find the common denominator of 119/768 and -35/27.
6912
Find the common denominator of 63/1082 and 58/3.
3246
Calculate the smallest common multiple of 15 and 15.
15
What is the common denominator of 26/45 and -67/30?
90
Find the common denominator of -19/33 and 77/18.
198
What is the smallest common multiple of 93 and 6?
186
Calculate the smallest common multiple of 3537 and 3537.
3537
What is the smallest common multiple of 188 and 24?
1128
Calculate the common denominator of 31/63 and 25/27.
189
What is the common denominator of 22/10337 and 7/5?
51685
What is the common denominator of 91/16 and -149/192?
192
Calculate the smallest common multiple of 32 and 6.
96
Calculate the common denominator of -73/164 and 16/1845.
7380
What is the least common multiple of 3950 and 948?
23700
Calculate the smallest common multiple of 36 and 276.
828
Calculate the smallest common multiple of 576 and 1296.
5184
Calculate the least common multiple of 5 and 157.
785
What is the smallest common multiple of 312 and 8?
312
What is the lowe
|
{
"pile_set_name": "DM Mathematics"
}
|
-24
Differentiate -10 + 17 + 3*y**3 - 11*y**3 wrt y.
-24*y**2
Suppose -4 - 6 = -5*p. What is the second derivative of -2*i + 2 - p + 3*i**3 wrt i?
18*i
Suppose 3*c = -2*c - 5. Let z(b) = 3*b**2. Let i be z(c). Find the second derivative of 2 + i*r**5 - 2 + 3*r - 4*r**5 wrt r.
-20*r**3
Let l be 6 - (-1)/(1/(-1)). Differentiate 4 + 3*i**2 - 2 - l with respect to i.
6*i
Let j(r) be the second derivative of 0 - 3/20*r**5 - 1/6*r**4 - 2*r + 0*r**2 + 0*r**3. Find the third derivative of j(p) wrt p.
-18
Let y(z) = z**3 + 8*z**2 + 5*z - 10. Let s be y(-7). What is the derivative of i**4 + 3 + i**s + 1 wrt i?
8*i**3
What is the third derivative of 3*v**2 + 0*v**3 - 5*v**3 + 3*v**2 wrt v?
-30
Let x(w) = 2*w**4 - w**2 + 2*w. Let z(g) = -g**4 + 2*g**2 - 3*g. Let y(m) = 3*x(m) + 2*z(m). Find the third derivative of y(k) wrt k.
96*k
Suppose r - 12 = 3*r. Let i be (r/(-3))/(2/4). Find the third derivative of 0*c**6 - c**6 + c**2 - 2*c**6 + i*c**6 wrt c.
120*c**3
Find the first derivative of -1 + 1 - l + 2 + 0 wrt l.
-1
Let b(v) be the third derivative of -3*v**5/20 + v**4/24 + 3*v**2 + 13*v. Find the second derivative of b(h) wrt h.
-18
Let q = -5 - -8. What is the second derivative of 0*d**3 - d**5 + 0*d**q - 2*d wrt d?
-20*d**3
What is the first derivative of 5 + 7*g**3 + 2 - 3 wrt g?
21*g**2
Let i(f) = -f**2 + 10*f - 6. Let n be i(9). Find the second derivative of -3*h - 49*h**n + 41*h**3 + 4*h + 6*h wrt h.
-48*h
Let i(b) = b - 18. Let n(d) = -d. Let l(a) = i(a) - 6*n(a). What is the first derivative of l(z) wrt z?
7
Let q = 15 + -11. Suppose -4*a = q*o - 36, 5*a + 3 = 3*o - 0. Differentiate -4 + n**4 - 4 + o wrt n.
4*n**3
Find the second derivative of -15*i**4 - 85*i + 12*i**4 + 33*i - 2*i**4 - 3*i**5 wrt i.
-60*i**3 - 60*i**2
Let f(h) be the first derivative of -3*h**7/7 - 8*h**3/3 + 12. Find the third derivative of f(k) wrt k.
-360*k**3
Let g(r) be the third derivative of -1/12*r**4 + 0 + 0*r - 1/3*r**3 + 2*r**2. What is the first derivative of g(c) wrt c?
-2
Let d(m) = -10*m**3 - 5*m**2 - 6*m - 6. Let q(s) = -9*s**3 + 0 - 5 + 0 - 4*s**2 - 5*s. Let v(p) = 5*d(p) - 6*q(p). What is the third derivative of v(f) wrt f?
24
Let n(j) be the third derivative of j**5/10 - 7*j**4/24 + 3*j**2. Find the second derivative of n(w) wrt w.
12
What is the third derivative of 23*w**2 + 3*w**4 - 1852*w**5 - w**4 + 1819*w**5 + 31*w**2 wrt w?
-1980*w**2 + 48*w
Let p be -4 + 1 - 3/(-1). Suppose b - 9 + 7 = p. Find the third derivative of -2*l**5 + l**5 + 2*l**b + 4*l**5 wrt l.
180*l**2
Let c(a) be the second derivative of -a**7/420 - a**4/24 + 2*a**3/3 + 2*a. Let g(j) be the second derivative of c(j). What is the derivative of g(k) wrt k?
-6*k**2
Let f(y) be the second derivative of y**8/56 + y**4/6 + 6*y. Find the third derivative of f(z) wrt z.
120*z**3
Suppose h = -1 + 4. Differentiate -5 - h*j - j + 4*j - 2*j wrt j.
-2
Let i(r) = 32*r**3 + 43*r. Let a(t) = 32*t**3 + 43*t. Let x(o) = 7*a(o) - 6*i(o). Find the second derivative of x(l) wrt l.
192*l
Let a(f) be the third derivative of f**6/40 + 2*f**3/3 + 10*f**2. What is the first derivative of a(q) wrt q?
9*q**2
Let l(v) be the first derivative of -v**3 + 3 + 0*v**2 + 0*v + 3/4*v**4. Find the third derivative of l(j) wrt j.
18
Let z(r) be the third derivative of 0*r - 5*r**2 + 0 + 1/3*r**3 - 3/40*r**6 + 0*r**5 + 0*r**4. What is the derivative of z(p) wrt p?
-27*p**2
Let p(l) be the second derivative of 7*l**5/20 - 3*l**2 - 2*l. Differentiate p(d) wrt d.
21*d**2
Let j be (-6)/27 - (-87)/27. Let i(u) be the first derivative of 1/3*u**j + u + 0*u**2 + 2. Find the first derivative of i(g) wrt g.
2*g
Find the second derivative of 68*a**5 - 62*a**5 - 2*a + 4*a wrt a.
120*a**3
Let y(h) be the second derivative of h**6/30 + 3*h**2 - 3*h. What is the derivative of y(f) wrt f?
4*f**3
Suppose -1 = -4*w + 3. Suppose 4*f - 3 - w = 0. Differentiate -4*a**3 - f - 1 - 2 + 1 wrt a.
-12*a**2
Suppose -4*d - 4 + 12 = 0. What is the third derivative of 2*n**3 + 3*n**3 - 3*n**3 - 2*n**d wrt n?
12
Find the third derivative of -3*o**2 + 15960 - 15960 + 21*o**3 - 6*o wrt o.
126
Let a be 4/6 + (-100)/15. Let b = -4 - a. Find the second derivative of -w + w**3 + 39*w**2 - 39*w**b wrt w.
6*w
Let l(t) = 5*t**3 - 5*t - 6. Let x(h) = 10*h**3 - 10*h - 13. Let v(i) = 13*l(i) - 6*x(i). What is the second derivative of v(c) wrt c?
30*c
Let y(z) be the second derivative of -z**5/20 - z**4/2 - z**3 - z**2/2 - z. Let u be y(-5). Find the second derivative of -u*f**3 + f**3 + f**3 - f wrt f.
-12*f
Let y(o) = -o - 15. Let m be y(-15). Let f(n) be the second derivative of -1/3*n**3 + 1/2*n**2 + 3*n + m. What is the derivative of f(x) wrt x?
-2
Suppose 0 = -3*z - 9 + 18. Let x(r) be the second derivative of -1/12*r**4 - 1/3*r**z + 0 + r + 0*r**2. Find the second derivative of x(w) wrt w.
-2
Let q(k) be the third derivative of k**8/168 + 5*k**4/8 - 13*k**2. What is the second derivative of q(g) wrt g?
40*g**3
Let y(j) be the second derivative of 2*j**6/15 - j**4/12 - 9*j. Find the third derivative of y(n) wrt n.
96*n
Let y = 4 + -7. Let m = 5 + y. What is the third derivative of -5*v**m - 3*v**3 + v**3 + 2*v**2 wrt v?
-12
Let q = -8 + 13. Find the second derivative of -6*o + 0*o - o**q - 4*o**5 wrt o.
-100*o**3
Let h(y) be the first derivative of y**6/90 + y**5/40 + 2*y**3/3 - 1. Let u(l) be the third derivative of h(l). Find the second derivative of u(c) wrt c.
8
Let m be 0 - 0 - (5 + -8). Let o be 1/4 - 7/(-4). Find the third derivative of -2*s**3 + 6*s**m + 0*s**2 - s**o wrt s.
24
Find the second derivative of i**4 - 7*i**4 + 6*i - 5*i**3 + 5*i**3 wrt i.
-72*i**2
Let d(k) be the second derivative of -19*k**4/12 - 17*k**3/6 + 4*k. What is the second derivative of d(j) wrt j?
-38
Let h(a) = -a**3 - 5*a**2 + 7*a + 2. Let n be h(-6). Let b(j) = j**3 + 4*j**2 + 2. Let w be b(n). Differentiate -5*k + 4*k + w + 3*k wrt k.
2
Suppose m + 7 + 3 = 0. Let d be ((-12)/m)/((-2)/(-5)). Find the second derivative of 0*u**3 - 3*u**d - 2*u + u**3 wrt u.
-12*u
Let x(o) be the first derivative of -7*o**6/3 + 46*o**3/3 + 30. Find the third derivative of x(d) wrt d.
-840*d**2
Suppose 0 = t - 14 + 6. Let v be (-1)/(-4) + (-2)/t. What is the third derivative of 0*u**5 + 2*u**2 + v*u**2 - u**5 wrt u?
-60*u**2
Suppose 2*x + 2 = 4. Suppose 0 = -3*s + x + 11. What is the second derivative of -2*a + a - a**s - a wrt a?
-12*a**2
Let r(q) be the third derivative of q**5/5 - 10*q**3 + 2*q**2 + 11*q. Differentiate r(f) wrt f.
24*f
Find the third derivative of -q**2 + 4 - 4 + 21*q**5 - 24*q**5 wrt q.
-180*q**2
Let c(f) = f**3 + 5*f**2 + 3. Let d be c(-5). Find the first derivative of -3 - 1 - 3*l + d*l - 4*l**2 wrt l.
-8*l
What is the second derivative of 2*v - v + 10*v**3 + 3*v - 3*v wrt v?
60*v
Let b be -6 + 1 + (-1 - -2). Let g be 3/((-6)/b) + 1. What is the derivative of 2 + 0 - 2*r**2 + g*r**2 wrt r?
2*r
Let d(x) be the third derivative of -x**7/14 - 5*x**5/12 - 40*x**2. What is the third derivative of d(q) wrt q?
-360*q
Let p(k) = 36*k - 3. Let c(x) = x + 1. Let i(q) = 54*c(q) - 2*p(q). Find the first derivative of i(d) wrt d.
-18
Suppose -3*u + 13 = 5*l - 2*u, -l - 5*u = -17. Differentiate -2 + 5*m**2 - 7*m**l - 1 wrt m.
-4*m
Let s(v) be the first derivative of -v**3 - v - 27. What is the derivative of s(j) wrt j?
-6*j
Let n(a) = a**3 - a. Let d(k) = 55*k**3 + 27*k. Let c(i) = d(i) - 6*n(i). Find the second derivative of c(z) wrt z.
294*z
Let s(b) = -19*b - 3. Let o be s(-1). What is the first derivative of o + 0*h - 12 + 0*h + 9*h**2 wrt h?
18*h
What is the third derivative of -4*k**3 + 5*k**2 - 6*k**3 + k**3 - k**2 wrt k?
-54
Let d(p) = -8*p**2 - 2*p + 6. Let q(l) = -41*l**2 - 11*l + 30. Let x(k) = -11*d(k) + 2*q(k). Differentiate x(v) wrt v.
12*v
Let l be ((-6)/5)/(4/(-10)). Let n(x) = x**3 - 2*x - 1. Let h be n(2). Find the second derivative of o**h - o - o - 4*o**l - o wrt o.
-18*o
Let w(o) be the second derivative of 0*o**2 - 8*o + 0 + 7/6*o**3 - 5/6*o**4. What is the second derivative of w(d) wrt d?
-20
Differentiate 6 - 4 - 4 + 2*t**2 with respect to t.
4*t
Let b(y) = -11*y**2 + 2*y - 8. Let z(q) = -23*q**2 + 5*q - 16. Let c(k) = 5*b(k) - 2*z(k). Find the first derivative of c(j) wrt j.
-18*j
Differentiate -3 - 4 - 2*q**2 + 8*q**4 + 2*q**2 wrt q.
32*q**3
Let p be 2/1 + 1 +
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) z (c) -1
c
Let a = -167.3077 - -0.1077. Let d = a + 167. Let b = -1.1 - -3.1. What is the nearest to d in -0.5, b, -0.09?
-0.09
Let c(r) = 24*r - 191. Let o(h) = -2*h**3 - 22*h**2 + 23*h - 4. Let t be o(-12). Let v be c(t). What is the closest to v in -0.4, 0, -1/2?
0
Let k(g) = -4*g + 8. Let q be k(4). Let m be 276/46 - (-28)/(-5). What is the nearest to 2/9 in q, -1/3, m?
m
Let l be 9/7 - (-12 + 1978/161). Suppose 3*s - 4*i = 6, s = -2*i - 13 + 5. Which is the closest to s? (a) 13 (b) l (c) 5
b
Let o = 0.7 + -0.6. Let h = -752.08 + 772. Let x = h + 1.08. What is the closest to 0 in x, -4, o?
o
Let j = -2/215 + 691/4945. Let n = j - -17/46. Let x = 5.4 - 5.1. Which is the closest to -0.1? (a) x (b) n (c) 1
a
Let l = 3479 - 3476. Which is the closest to -49? (a) l (b) 2 (c) 0
c
Let i = -95.25 + 0.25. Let f = i + 95.1. Let n = -0.4 - 0.1. What is the nearest to f in -4, n, 1?
n
Let z be 0*(4 - 2)/(-2). Suppose 0 = 2*j + 12*r - 240, -5*j - 11 = -r + 9. What is the closest to j in -0.2, z, -5?
z
Let p = 161.97 - 161.77. Let x be ((-12)/(-10))/(238/85). What is the nearest to 0.05 in -0.2, 5/2, x, p?
p
Suppose 16*f - 8*f = 2*f. Let w = -5.4 + 10.4. Which is the closest to 5? (a) -2 (b) w (c) f
b
Let p = 5208 + -5202. Which is the nearest to 5? (a) 2/5 (b) 0.06 (c) p
c
Let u be ((-42)/(-24))/(399/304). What is the closest to u in -2, 4, -28, -0.1?
-0.1
Let f = -13975.8 - -13976. What is the closest to f in 0, 0.1, -180, 1/11?
0.1
Let d = -2227 - -2229. Let l = 13.93 + -14. Which is the nearest to l? (a) -3 (b) d (c) -0.06
c
Let k be 161/690 - (7 + -9 - (-11)/6). Let y = -7.1 - -6.7. Which is the nearest to 1? (a) -1.2 (b) k (c) -5/4 (d) y
b
Let z = -216 + 213. What is the nearest to z in -0.2, 18, 1/4?
-0.2
Let x = 0.5 + -0.4. Suppose 2*k + 141 = -l + k, 2*l = -k - 281. Let v = l + 141. Which is the nearest to -2/5? (a) v (b) x (c) 1/4
b
Let w = -0.06 + 0.03. Let p be (-1394)/(-1112)*-1 + 2/1. Let z = 1/278 + p. What is the nearest to 2 in -2/5, z, w?
z
Suppose -4*m + 114 + 66 = 0. Let t be 1*-1 - (m/5)/(-3). Let q = -0.79 + -0.21. Which is the nearest to 0.03? (a) t (b) q (c) 0.5
c
Let h = -3254 - -22776/7. What is the closest to 2/7 in 0.2, -7, h?
0.2
Let u be (7/14)/((-5)/(-15)). What is the nearest to -0.3 in -3/5, 27, u?
-3/5
Let m = -0.284 - -0.484. Let g = 1205/646 + -36/19. Which is the closest to m? (a) -0.1 (b) g (c) -1/4
b
Let n = -67 - -33. Let s = 72 + n. Let p = 42 - s. Which is the nearest to -1? (a) -2/5 (b) p (c) 10
a
Let g = -7027 + 7030. What is the nearest to 0.1 in -5, -0.92, g?
-0.92
Let w = -143 - -142.885. Let l = w - 0.385. What is the closest to -2/7 in 3, l, -1/5?
-1/5
Let i = 333 - -106. Let s = 441 - i. Which is the closest to -1/3? (a) -14 (b) -4/3 (c) s
b
Let g = 508 + -3558/7. Which is the closest to g? (a) -0.3 (b) 3 (c) 4 (d) 2
a
Let f = -1292 + 1288. Let x = -106 + 103. Which is the closest to 3/29? (a) f (b) x (c) 0.3
c
Let g = -0.059 + 0.859. Let d be (595/340)/(3/12*-14*-1). What is the nearest to d in g, -0.2, -2?
g
Let l = 7237.97 - 7236. Which is the nearest to -1? (a) -0.2 (b) l (c) -0.3
c
Let n = 88.4 - 90.4. Let i be ((-6)/27)/(2/(-3)). Which is the nearest to i? (a) 3 (b) 6/5 (c) n
b
Let n = 2.009 - 0.009. Let h = -13.2 - -11.2. Which is the closest to -0.1? (a) h (b) n (c) -10
a
Suppose -54*v + 52*v - 3*w = 20, -12 = 2*v - w. Which is the closest to 2/5? (a) -5 (b) v (c) 2/5 (d) 3
c
Let o be (-2)/((-12)/30) - (-177)/(-35). Let r = o - -391/105. What is the closest to 2 in -5, 0.2, r?
r
Let k(p) = -4*p**2 + 29*p - 8. Let z be k(8). Let j be -1*2 + (-80)/z. What is the closest to 1 in -1, -4, j?
j
Let q = 789 + -603. Let b = -186.3 + q. What is the nearest to 1 in b, -5, 2/3?
2/3
Let x = -4378 + 4382. Let j be 4/(-15)*(-1)/2. What is the nearest to -2/5 in 1/5, j, x?
j
Suppose s + 4*i + 1 = 0, 0 = -s + 2*s - i - 14. Let p = 159883/2 + -79941. What is the closest to 0.2 in p, s, -0.5?
p
Suppose 0 = 4*o + 4*j + 89 + 295, o + 2*j + 96 = 0. Let x be 816/o + 1 + 6. Which is the closest to 1? (a) 1 (b) x (c) -5 (d) -7
a
Let u = -75 - -75.26. Let n = -39 - -38.81. Let b = 0.81 - n. What is the closest to -2/5 in b, u, 0.4?
u
Let r = 6548 + -6538. What is the closest to r in 9, -2/7, -1/4?
9
Let h = 18 + 99. Let o = h - 122. Which is the nearest to o? (a) -2/3 (b) 1/3 (c) -2
c
Let d(p) = -2*p**3 - 3*p**2 + 7*p - 2. Let y be d(-5). Let i be 6/(-39) + (-3 - y/(-52)). Let g = 11 - 10.5. What is the closest to -1/3 in g, i, -2?
i
Let y = 125 - 123. Let r = -134 + 137. What is the closest to 1/3 in r, y, 1?
1
Let z = 3.53 - 3.73. Which is the closest to 3? (a) z (b) -19 (c) 3/2
c
Let y(j) = 3*j**3 - 13*j**2 - 29*j - 7. Let u be y(6). Let x(n) = -4*n + 1. Let v be x(-1). What is the nearest to -0.1 in u, -7, v?
u
Let i = -564 - -568. Let a = -1766124/77 - -22937. Let l = a + -1/7. What is the nearest to l in 2/11, -1, i?
2/11
Let n(z) = -4*z**2 + 2*z - 1. Let b be n(1). Let j be (-61)/((-1)/((-13)/(-13))). What is the nearest to j in b, 0.4, -2/21?
0.4
Let l = -4073/23 + 177. Let k be 138/(-129)*2/(-6). Let i = -1/43 + k. Which is the closest to 1? (a) -5/3 (b) i (c) l
b
Let a = 60 + -63. Let z be 2 - 88/32 - 141/(-156). What is the nearest to -1/3 in a, z, -0.11?
-0.11
Let f be 8/40*(-10)/6. Which is the closest to 6? (a) 77/2 (b) 5 (c) 4/7 (d) f
b
Let r = -0.11 - -175.11. Let k = r - 176. What is the closest to k in 0.3, 9, -2/15?
-2/15
Let j = -406 - -648. Let w = j + -241.3. Which is the nearest to 0.1? (a) -1 (b) 3 (c) w
c
Suppose 4*j = 4*q, 5*j = 22 - 2. Let z be ((-5)/(-15))/((-1)/39). Let r be z + -8 + (7 - 1). Which is the closest to 1? (a) -3 (b) r (c) q
c
Let l(v) = v**3 - 58*v**2 - 55*v - 241. Let q be l(59). Let n = 14.4 + -21.4. Let k = 1 - 1.1. Which is the closest to k? (a) 2 (b) n (c) q
a
Let r(w) = w**3 + 17*w**2 - 34*w + 111. Let l be r(-20). Which is the nearest to -2/5? (a) l (b) 0.3 (c) 5
b
Let r = 317.26 + -318. Let f = r - -0.84. Let l = -2.4 - -0.4. Which is the nearest to f? (a) -2/17 (b) l (c) 1
a
Let w = 16212/5 + -3242. What is the closest to 0 in -0.01, w, 0.17, 1?
-0.01
Let a be -3 + 4/3 + 0. Suppose 35 - 39 - 59 = -63*j. What is the closest to 0.2 in j, a, -3?
j
Let z = -6566 - -6565.7. Which is the closest to 1/2? (a) -1/4 (b) -2 (c) 1 (d) z
c
Let u = -1125 - -1124. Which is the closest to -11? (a) u (b) 0.4 (c) -0.4
a
Let n(h) = h**3 - 3*h**2 + 2*h - 2. Let d be n(3). Let s = 68 - 67. Which is the closest to 0? (a) 5 (b) d (c) s
c
Let j be (-627)/4 - (-35)/(-140). Let x = j + 158. What is the nearest to x in -2, 0.3, 0?
0.3
Let b = 0.569 - 3.569. What is the nearest to b in 1/5, -1, 0.082?
-1
Let t = -248894 - -11198551/45. Let h = t - -186/5. What is the closest to h in -5, 3, -1/7, -0.2?
-1/7
Let w = -5 - 1. Let q = 29 + -25. Let f = q + w. Which is the closest to 2? (a) f (b) 4/7 (c) 2
c
Let o be 28/20 - 316/(-10). Which is the closest to 1/13? (a) -5 (b) -4 (c) 0.2 (d) o
c
Let s be (-1079)/(-39) + -17 - 10. Suppose 2*o + 9 = -5*g - 63, o + 34 = -2*g. Let l = o + 77/3. Which is the nearest to -5? (a) l (b) -1 (c) s
b
Let y = 20 + -16.8. Let x = 3.1 - y. Let i = -0.9 - -0.8. Which is the nearest to x? (a) 0.1 (b) i (c) 4/7
b
Let c = -342 - -341.7. Let p = -1177/2358 - 1/1179. What is the closest to 1/5 in -2/15, p, c?
-2/15
Let z = 0.5204 - 0.0204. What is the closest to -1/4 in -0.5, 0.1, -114, z?
-0.5
Let k be 72/756*(-15)/(-10). Which is the nearest to k? (a) 1/4 (b) 0 (c) 3 (d) 4
a
Let v = 35.4 + -35.419. Let w = 4.981 - v. Which is the nearest to -2/7? (a) -16 (b) w (c) -0.3
c
Let h = 7/12 + -1/4. Let r = 3.669 + 1.331. What is the nearest to 2/5 in -38, r, h?
h
Let w = 3.111 + -3.28. Let y = w - -0.169. Let m(q) = -q**2 - 5*q - 3. Let o be m(-4). Which is the closest to o? (a) 0.07 (b) y (c) -0.4
a
Let x = 1/6334 + -6337/19002. What is the nearest to -1/6 in 5, -2, x, -20?
x
Let x = 2/4273 - -21353/25638. Which is the closest to 2? (a) x (b) -28 (c) -9
a
Let j = -8.3 - -8. Let u be (306/(-45))/17 - (-13)/((-455)/56). Let q be 0 - (-1)/((-4)/5). What is the nearest to j in q, u, 0.4?
0.4
Let h be 2200/(-125) + (-234)/(-13). Which is the nearest t
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1 - 2)*(3 + 2*p - 3).
134*p + 9
Expand (-2*o + 2 - 2)*(7 - o - 4 + 0*o) + (-o + 5*o - 5*o)*(15*o - 12*o - 30*o) - 6*o**2 - o**2 + 0*o**2.
22*o**2 - 6*o
Expand (6 + 3 + 0)*((-2*m**3 + 2*m**3 - 2*m**3)*(-1 + 5*m + 1) - 51*m**3 - 2*m**4 + 51*m**3).
-108*m**4
Expand -h + 9 - 9 + (0 + 0 - h)*(1 + 0 - 5) + h - 7*h - 6*h.
-9*h
Expand -762*t**3 - t + 396*t**3 + 453*t**3 + (-3 + 0 + 4)*(-3*t**2 + 3*t**2 + t**3).
88*t**3 - t
Expand -31902321*h + 31902321*h - 3399*h**3 + (-5 + 3 + 3)*(h - h + 2*h**3) - 2*h**2 - h**3 + 2*h**2.
-3398*h**3
Expand (0*m + 0*m + m**2 + (3*m + 3*m - m)*(-3*m - 11 + 11)*(4 - 7 - 4))*((1 + 2*m - 1)*(-2*m - 2*m + 2*m) - m**2 + m**2 + 2*m**2 + 3*m**2 - 4*m**2 + 5*m**2).
212*m**4
Expand (h**2 + 2*h - 2*h - 1)*(-4 + 50 + 0)*(8*h + 4*h - 5*h) + h**3 + 0*h**3 + 3*h**3.
326*h**3 - 322*h
Expand (-18*v - 397 + 397)*(-8 + 1 + 1) - 3*v + 3*v + 2*v + (2 - 2 - 2)*(2*v - 3*v + 3*v) - 2*v + 0 + 0 + (-3 + 3 - v)*(-2 + 1 + 2) - v + 3 - 3.
102*v
Expand (2*m**2 - 1 + 1)*(2*m**3 - 5*m**3 + 4*m**3) + 4 + m**5 - 4 + (4 - 4 - 2)*(26 - 15*m**5 - 26) - 3*m**5 - m**5 + 3*m**5.
32*m**5
Expand (750 - 750 - 17*m)*(2 + 2 - 5 - 1 + 3 + 2 + (2 - 3 + 3)*(3 + 1 - 2) + 2 + 1 - 5).
-85*m
Expand (19 + 8 - 1)*(-6*o**2 - 2*o**2 + 2*o**2)*(3*o + 23*o - 5*o).
-3276*o**3
Expand (142 + 39 + 17 - l)*(-3 + 0*l + 4*l - 3*l).
-l**2 + 201*l - 594
Expand (19 - 5*z**2 - 32 + 14)*(3*z**2 + 0 + 0 + 4*z**2 + 11*z**2 - 9*z**2 + (1 - 1 + 2)*(2*z**2 - 2*z**2 + z**2)).
-55*z**4 + 11*z**2
Expand (7 + 2 - 4)*(-9*u**2 - 2*u**2 + 2*u**2)*(-4*u + 2*u + u) + 3 - 3 - 13*u**3.
32*u**3
Expand -3*n**5 - 3*n**5 + 5*n**5 + (-2*n**2 - n**3 + 2*n**2)*(-2946 + 3956*n**2 - 194 - 3954*n**2).
-3*n**5 + 3140*n**3
Expand (-46*j + 53*j**3 + 38*j**3 - 103*j**3)*(1 - 1 + j)*((-j + 2 - 2)*(-1 + 1 - 2) - 3 + 3 + 2*j).
-48*j**5 - 184*j**3
Expand -52*t**5 + 52728 - 7*t**5 - 52685 + 1 - 1 - 2*t**5 - 3*t**5 - 3*t**5 + 4*t**5 + (3*t**3 - 4*t**3 + 0*t**3)*(t**2 - 4*t + 4*t) + 2*t**5 - t**5 - 2*t**5.
-65*t**5 + 43
Expand -476067 + 476067 - 1987*b + 2*b + b - 4*b + (-1 + 2 + 0)*(3*b - 5*b + 0*b) + 1 - b - 1 + (-3*b + 3*b - b)*(2 - 5 + 1) + 5*b - 2*b + b.
-1985*b
Expand 2*c**4 - 2*c**4 + 4*c**4 + 7*c**4 - 10*c**4 - 41*c**4 + (-5 + 5 - 4*c)*(2 - 2 - 3*c**3).
-28*c**4
Expand (11*z - 7*z + 4*z)*(-5 - 12*z + 3 - 3).
-96*z**2 - 40*z
Expand (-9 + 5 - 4)*(-115 + 35 + 7)*(-9*x + 4*x - 3*x)*(6 - 3 - 1) + (3 - 3 - 2)*(x + 0*x + 0*x) + x - x - 2*x.
-9348*x
Expand 87*d**5 - 340*d**3 + 340*d**3 + (0*d + 2*d - d)*(-d**4 + 4*d**4 + 0*d**4) + 2*d**5 + 2*d**2 - 2*d**2 + (-2*d**2 - 4*d**2 + 5*d**2)*(-d**3 - 5 + 5).
93*d**5
Expand (0 - 4 + 0)*(2*o + 1 - 1)*(-348 - 66 - 1256 - 192).
14896*o
Expand -4*y - 7*y - 4*y + (3 + 2 - 2)*(-5 - 10 + 0)*(y - 2 + 2).
-60*y
Expand (2 - 5 + 5)*(-4 + 3 - 1)*(4*k - 14179 - 3*k + 14327 + (3*k + 2*k - 4*k)*(4 - 2 - 1) + 3*k - 3 + 3).
-20*k - 592
Expand (12*t - 10*t + 0*t + 3)*(-158*t + 364*t - 120*t).
172*t**2 + 258*t
Expand (-26*v - 27*v - 32*v + 3 - v - 3 - v - 3*v + 3*v + 0*v + 0*v + 2*v - 4*v + 2*v + v + (2*v - v + v)*(-4 + 2 + 3) - 3 + 3 + 2*v)*(-2*v + 1 - 1).
164*v**2
Expand -2020 + 2039 - k - 16*k + (-4*k + 4*k - k)*(-2 + 3 + 3).
-21*k + 19
Expand (4*o - 3*o - 4*o)*(-2*o - 4 + 4)*(-2 + 1 + 2)*(53 + 92 + 102).
1482*o**2
Expand (3*t**3 - 2*t**3 + t**3)*(-3573*t + 1088*t + 2037*t + 1 + 1468*t).
2040*t**4 + 2*t**3
Expand (11 + 4*b - 11)*(1049*b**2 + 1631*b**2 - 5171*b**2)*(-2*b - b + b).
19928*b**4
Expand (400*r**2 - 153*r**2 + 368*r**2)*(5*r - 10*r - 2*r).
-4305*r**3
Expand (-3 - 2*k + 3)*(8 - 25*k**3 + 37*k**3 - 13*k**3 + 41*k).
2*k**4 - 82*k**2 - 16*k
Expand (0*q + 3*q - 2*q)*((4 - 2 - 4)*(q - q + q) - 1 - q + 1 + (2 - 5 + 1)*(0*q - 379*q - 574*q)).
1903*q**2
Expand -1197*t - 654*t - 550*t + 399*t - t + 6*t - 4*t + (2 + 1 - 1)*(2*t + t - 2*t).
-1999*t
Expand (3*t**2 - 4*t**2 + 3*t**2)*(-124*t**2 - 85*t**2 + 40*t**2)*(13*t + 12*t - 11*t).
-4732*t**5
Expand l + 3*l - 140*l**4 - 4*l + 320*l**4 + (4 - 4 + 3*l**3)*(4*l + 7*l - 4*l).
201*l**4
Expand 10*r - 50 + 50 + (20 + 17 - 25)*(-3*r + r + 3*r).
22*r
Expand (0*z**2 + z**2 - 7*z**2)*(12 - 3*z**2 - 12) + 10*z**4 - 3*z**4 + 0*z**4.
25*z**4
Expand ((-3 + 0 + 7)*(6 - 3 + 2) + 4 + 3 - 3)*(4 - 4 + v**3)*(77 - 7*v - 77).
-168*v**4
Expand (0*f - 4*f + 5*f + (3 - 3 + 1)*(4 - 4 - 4*f) + 2*f - 5*f + f)*(-61*f + 61*f - 17*f**4).
85*f**5
Expand (1 - 4 + 2 + (2 + 0 + 0)*(4 - 7 + 1) + 4 - 4 + 6)*(-j + 2*j - 3*j) + 7*j + 1 - 3 + 1.
5*j - 1
Expand (0*h - 2*h + 0*h)*(-1 + 0 + 0)*(-4 + 4 + 2)*(-1404*h + 2 - 4 + 1400*h).
-16*h**2 - 8*h
Expand (4*b**3 - 5*b**3 + 2*b**3)*(b**2 - b + b + (-4*b + 37 - 41 + 9*b)*(-3*b - 2*b + 0*b)*(-4 - 3 - 1)).
201*b**5 - 160*b**4
Expand -53*m**4 + 405770*m**3 - 405768*m**3 + 552*m**4 + (0*m + 5*m - 4*m)*(0*m**3 - 3*m**3 + 4*m**3).
500*m**4 + 2*m**3
Expand (-648*p - 640*p + 1286*p + 99 - p**2)*(4 - 4 + 2*p**3).
-2*p**5 - 4*p**4 + 198*p**3
Expand (-4 - 2 + 5 - 2*k + (2 + 0 - 3)*(214*k + 242*k - 106*k))*(-k - 2*k + k).
704*k**2 + 2*k
Expand (-1 - 1 + 3)*(-41 + 12*f + 41)*(-637*f**2 - 2*f**3 + 637*f**2 + 2).
-24*f**4 + 24*f
Expand (-2*i**2 + 67*i**3 + 55555*i + 51*i**3 - 55560*i)*(2*i**2 - i**2 - 2*i**2).
-118*i**5 + 2*i**4 + 5*i**3
Expand -560 + 561 + 16*q + 11*q + q - 9*q - q + (-3 + 4 - 2)*(q + q + 0*q) + q - q - q - q + 0*q + 0*q.
14*q + 1
Expand (-44*h - 15*h**3 - 12*h**3 + 25*h**3)*(-h**2 - 2*h + 2*h)*(0 + 1 + 6).
14*h**5 + 308*h**3
Expand (-5068*i**2 + 174*i**2 - 56*i**2)*(6*i - 2*i - 2*i**3 - 2*i).
9900*i**5 - 9900*i**3
Expand (-179 + 197 + 2*p - 4*p)*(-3 + 2 + 0) + (2*p - 3*p + 0*p)*(2 - 2 - 2).
4*p - 18
Expand (-6*d**2 + 4*d**2 + 15*d**2)*(53*d + 7*d + 37*d).
1261*d**3
Expand 3*d**3 - 34*d**4 - 3*d**3 + (2 - 2 + 3*d)*(-4*d**3 + 4*d**3 + d**3) + (9*d**3 - 7*d**3 - d**3)*(-2*d - 2*d + 2*d)*(1 + 2 - 6).
-25*d**4
Expand (3 - 3 - 1)*(-5*a**3 + 0*a**3 + a**3) + 164*a**3 - 70*a**3 + 117*a**3.
215*a**3
Expand (-4 + 1 + 1)*(-j**3 + 2*j**3 + j**3)*(-3*j - j - j)*(8 - 47 - 20).
-1180*j**4
Expand (-285 - 604*m**4 + 142 + 141)*(-5*m - 4*m - 2*m).
6644*m**5 + 22*m
Expand (1 - 1 - m)*(-2 + 0 - 3)*(5 + 482*m - 3 - 546*m).
-320*m**2 + 10*m
Expand (224 - 219 + 275 - 10*s + 199 - 2*s)*(-7 + 4*s + 7).
-48*s**2 + 1916*s
Expand (-c + 0 + 0)*(1120 + 4236 + 106 + 1046).
-6508*c
Expand 0*y**2 - 3*y**2 + 2*y**2 + (-1 + 2*y + 1)*(-612*y - 1036*y - 855*y).
-5007*y**2
Expand -1869 - 235*q**2 + 389 + 245*q**2 + (-3*q + 5*q - 4*q)*(-q + 5*q - 3*q) - q**2 + 0 + 0 - 3*q + 3*q - q**2 - 2*q**2 + 0 + 1 + q**2.
5*q**2 - 1479
Expand (-388 + 315 - 995)*(-4*b + 0*b + 5*b)*((3*b - 2*b + b)*(1 - 1 - 3) + 0*b + b - 2*b).
7476*b**2
Expand (6*n**2 + 10*n**2 - n**2)*(4*n + 0*n - 3*n)*(6 + 2 + 5).
195*n**3
Expand 3 - 52*p + 139*p - 63*p + (7 + 0 - 6)*(3 - 3 - 1 + p).
25*p + 2
Expand (0 + 20 + 61)*(4*b + 38*b + 34*b - 34*b).
3402*b
Expand (-3912*x + 7198*x - 4434*x)*(5*x - x - 2*x).
-2296*x**2
Expand ((-2 - 4 + 5)*(-3 + 3 - d) + 1 - 2*d - 1 + 9*d - 59*d - 290*d + 1 + 0 + d + 1)*(d**3 - 4*d**3 + 0*d**3).
1020*d**4 - 6*d**3
Expand 7 + 3 - 791*j**3 - 10 + 13342*j**3 + 14878*j**3 + (2*j**2 + j**2 - 2*j**2)*(-3*j - j + 6*j).
27431*j**3
Expand -64*k**2 - 3 + 99*k**2 - 88*k**2 + 0 - k**2 + 0 + (0*k + 2*k + 0*k)*(-3*k - k + 6*k) - 220*k + 17*k**2 + 220*k.
-33*k**2 - 3
Expand (-3*n**4 + n**4 + 0*n**4)*(77*n + 480*n - 125*n).
-864*n**5
Expand (14059 - 14059 - 68*n)*(-4*n + 3*n + 3*n)*(-4 - 7 - 1).
1632*n**2
Expand (19*m**2 - 19*m**2 - 22*m**3)*(0 + 6 - 4 + 12*m**2)*(-5 - 2 + 1) + m**5 - 2*m**3 + 2*m**3.
1585*m**5 + 264*m**3
Expand (8*q + 2*q + 4*q)*(-3*q**2 + 5*q**2 - 4*q**2)*(-324*q - 279*q + 567*q).
1008*q**4
Expand -345*p**5 + 421*p**4 + 419*p**4 - 838*p**4 + (p**5 - 7*p**5 + 2*p**5)*(-2 - 2 + 14).
-385*p**5 + 2*p**4
Expand 54 - 54 + 20*y + (20*y - 36*y + 18*y)*(-2 + 1 + 0) + (-y - y + 0*y)*(-1 + 1 - 2) - y + 4 - 4.
21*y
Expand (29*c**2 - 185*c**3 - 8*c**4 + 185*c**3)*(-56*c - 37*c - 12*c).
840*c**5 - 3045*c**3
Expand (-6*p - p + 4*p)*(1 - 3 - 3)*(-6*p + 11*p + 8*p)*(-3 + 0 + 4).
195*p**2
Expand (-f**4 + 0*f**4 - f**4)*(-25 + 53 + 27) + 0*f**4 - f**4 + 3*f**4 + (1 + 0 + 1)*(-2*f**4 - 4*f**2 + 4*f**2) + f**4 - 3*f**4 - 3*f**4.
-117*f**4
Expand (180*i**2 + 81*i - 81*i)*(-7*i + 0*i + 2*i).
-900*i**3
Expand (-g + 4*g - 4*g)*(-9*g + 0 + 0 + 1)*(-18 + 47 + 59).
792*g**2 - 88*g
Expand (0 + 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
(3 - 1 - 3)*(-2*h + 1 - 1) + 3*h - 7*h + 3*h.
-215*h
Expand q + q - 3*q + 3*q - 1 + 1 - 2*q + 2*q + 2*q + (0*q + 3*q - q)*(0 + 3 - 1) + 0*q - q + 0*q - 3 + 3 + q - q + 0 + 0.
7*q
Expand (-4*m + 7 - 7)*(23*m**2 + 64*m**2 + 28*m**2 + (-4 + 2 + 1)*(-2*m**2 + 22*m**2 - 6*m**2)).
-404*m**3
Expand (4*k - 7*k - 19*k)*(11*k**3 - 11*k**3 - 24*k**3).
528*k**4
Expand (3 - 3 + 2)*(-1 + 1 + j)*(55*j - 30*j + 72*j) + (j**2 - 3*j + 3*j)*(5 + 3 + 0).
202*j**2
Expand (-i - i + 4*i)*(4*i**3 - 5*i**3 + 3*i**3) - i**3 - i**4 + 2*i**3 + 3*i**4 + (210*i + 229*i + 83*i)*(0*i**3 + i + i**3 + i**3).
1050*i**4 + i**3 + 522*i**2
Expand (3*p**2 + 0*p**2 - 5*p**2 + (3 - 1 - 1)*(9*p**2 - 17 + 17))*(-3*p + 4*p - 3*p) - 3*p**3 + 5*p**3 - 3*p**3 + (p**2 + p**2 + 0*p**2)*(-8 - 6*p + 8).
-27*p**3
Expand (222*b - 1685*b + 7425*b - b + 4 - 4 + 2*b + 4*b - 4*b + (0 + 0 - 2)*(-2*b + 2*b - 2*b) + 0*b - b + 2*b - 2 + 2 + 2*b)*(3 - b - 3).
-5970*b**2
Expand (-74 - 395 - 2564)*((3*u + u - 2*u)*(3 + 0 - 1) + 25*u + 9*u - 13*u).
-75825*u
Expand (28*h + 3*h**3 - 28*h)*(-2*h**2 + 3*h**2 + 0*h**2) + (-2*h**4 + 0*h**3 + 0*h**3)*(4*h - 28*h - 20*h).
91*h**5
Expand (-20 - 4 - 32)*(-3 + 1 + 8)*((-4*g**3 + 5*g**3 - 2*g**3)*(5*g**2 - 3*g**2 - 4*g**2) + 5*g**5 - g**5 - 5*g**5).
-336*g**5
Expand (7 + 0 - 3)*(-39*n**2 + 944*n**2 - 30*n**2).
3500*n**2
Expand (-3 + n + 3)*(-3 + 3 - 2) + 3130*n + 197979 - 197979.
3128*n
Expand 6 - 6 + 2*d**2 + 161*d**2 - 79*d**2 - 84*d**2 - 19 + (-3*d - d + 2*d)*(1 - 1 + 3*d) - 4 + d**2 + 4.
-5*d**2 - 19
Expand -50*i**2 + 16*i**2 + 136*i**2 + (7 - 5 + 11)*(-4*i**2 + i**2 + i**2) - i**2 - 3*i**2 + 5*i**2 - 1 - i**2 + 1.
76*i**2
Expand (0*r**3 + 16*r**3 + 8*r**3)*((-1 - 2 + 4)*(-3*r - 30*r + 0*r) + 0*r - r + 3*r + 2*r + 0*r - 3*r).
-768*r**4
Expand (-2*t**2 + 3*t**2 + 13*t**2 + 45*t**2)*(6448*t**2 - 58*t**3 - 6448*t**2).
-3422*t**5
Expand (-70 - 78 - 2)*(-3*r**2 + 0 + 0)*(22*r**2 + 7 - 7).
9900*r**4
Expand (5*w - 5*w - w)*(43*w**3 - 7*w**3 + 21*w**3) + (-w**2 - 3*w**2 + 3*w**2)*(-2*w**2 + 0*w**2 + 3*w**2) + 3*w**4 - w**3 + w**3.
-55*w**4
Expand (-298 + 1025 + 127)*(-f - 2*f - f).
-3416*f
Expand (2 + 2 + 0)*(2 - 2 - 1)*(-2 + 1 - 1)*(1849*v + 165443 - 165443).
14792*v
Expand (31 - 133 + 271 + (1 - 3 + 1)*(2 - 3 + 2) + 2 - 2 - 3)*(0*r - 2*r + 0*r)*(0*r + 2*r + 0*r) - 2*r**2 + 0*r + 0*r.
-662*r**2
Expand (-1434*z + 1226*z + 2622*z + 1279*z)*(0 + z + 0 + (-z + 2*z - 3*z)*(3 - 1 + 0)).
-11079*z**2
Expand (-24 - 5 + 9)*(199 - 95 - 48)*(-2 + 2 - 2*t**2).
2240*t**2
Expand -2*a + 2*a + 6*a + 0*a + 3*a - 2*a + 4*a + 3*a - 5*a + 3 + a - 3 + (-a + 0*a + 2*a)*(-4 + 7 - 1) + 0*a + 3*a - a + (4 + 5 - 6)*(-2*a + a + 8*a).
35*a
Expand (46 + 11 + 26)*(0 + 1 + 1)*(-5*o - o + 5*o)*((1 + 0 + 0)*(-1 + 0 - 1) + 4 - 5 - 11).
2324*o
Expand (-2 + 2 - 3*s**2)*(1077 + 1762 - 464 + 473).
-8544*s**2
Expand (-6 + 4*i**2 + 6)*(-27 + 1441*i + 28 - 1).
5764*i**3
Expand -4*o**4 + 2*o - 112*o**3 + 112*o**3 + (1 - 2*o - 1)*(93*o**3 - 1531*o + 1531*o).
-190*o**4 + 2*o
Expand (-3 + 0 + 1)*(s**2 + 108*s**3 - 15400532*s - 1 + 15400532*s).
-216*s**3 - 2*s**2 + 2
Expand (767*v + 905 + 43*v - 201*v + 432*v - 899)*(2*v**3 - 6*v**3 + 0*v**3).
-4164*v**4 - 24*v**3
Expand (-8*m - 4*m + 8*m)*(220*m + 578*m + 731 - 736).
-3192*m**2 + 20*m
Expand (3*v + v + v)*(2 - 14*v - 2) + 5*v**2 - v**2 - 3*v**2 + (-1 + 3 + 0)*(-6 - 4*v**2 + 6).
-77*v**2
Expand 36*o**5 + 2*o**5 - 8*o**5 - o**5 - 3 + 3 + (-40 + 40 + 10*o**4)*(o + 1 - 1) - 2*o**5 - 2*o**4 + 2*o**4.
37*o**5
Expand (-g**2 - 4*g**3 + g**2)*(-204*g**2 + 5 - 4 + 76*g**2).
512*g**5 - 4*g**3
Expand -12628*h**2 + 228*h**5 + 12628*h**2 + (-2*h - 2*h**2 + 2*h)*(-4 + 4 - 3*h**3) - h**5 + 1 - 1 + 5.
233*h**5 + 5
Expand (56*y**3 + 1532*y**3 + 426*y**3)*(2*y**2 - y**2 + y**2) + y**5 + 2*y**5 - y**5.
4030*y**5
Expand (-a + 6*a - 3*a + (3 - 17 - 12)*(2*a + 0*a + 2*a))*(-4 - 2 + 3).
306*a
Expand (-3*z + 3*z - z)*(2*z + 2*z - 2*z) + (3 - 4 - 1)*(-2*z**2 + 2 - 2) - 5*z**2 + z**2 + 5*z**2 + (-4314 + 243 + 2239)*(-3*z + 3*z + 2*z**2).
-3661*z**2
Expand (2*s**2 + 5*s**2 - s**2 + (8*s - 2*s - s)*(-2*s + 2*s + 2*s) + (1 + s - 1)*(s + 0*s + 0*s) - 2*s**2 + 0*s**2 + 0*s**2)*(-2*s**2 - s**2 - 2*s**2).
-75*s**4
Expand (298555 + 291*d**3 - 298555)*(-3 + d**2 + 3).
291*d**5
Expand (4 + 3 - 3)*(-49 - 53 + 111 - 10*m**2).
-40*m**2 + 36
Expand 0*c + 0*c + c**2 + (-5*c + 2*c + 2*c)*(0*c + c - 2*c) - 5 + 7*c**2 + 5 + (4*c - c + 3*c)*(-3 - 11*c + 13*c + 11).
21*c**2 + 48*c
Expand (s + 0*s - 2*s)*(-3*s - 26 + 26) + 20 - 20 + 16*s**2 - s + 3*s**2 + s.
22*s**2
Expand (-2 + 2 - 3*p**4)*(-3*p - p + 3*p) - 10*p**4 + 4049*p**5 + p**4 - 2*p**4 + 2650*p**5 + 11*p**4.
6702*p**5
Expand (26*q - 311*q - 9*q - 35*q)*(9 - 12*q**2 - 9).
3948*q**3
Expand 343*i**2 - 94152 + 94152 + (2*i + 1 - 1)*(i + i - i) - 3*i + 3*i + 2*i**2.
347*i**2
Expand (-18*j - 85 + 85)*(-4 + 4 - j) - 2*j**2 + 4*j**2 - j**2 + (-18 - 28*j + 18)*(-j + 1 - 1).
47*j**2
Expand (6*m**3 - 4*m**3 - m**3)*(-2*m + 2*m + 4*m - 36*m - 32*m + 21*m + (m - m + 3*m)*(-1 - 2 + 0))*(0*m + 0*m - m).
52*m**5
Expand (3*h**2 + 6*h**2 + 2*h**2)*(-2*h + 2*h - 4*h) + 3*h**2 + 5*h**3 + 41*h - 41*h.
-39*h**3 + 3*h**2
Expand (103 - 59 - 1 + 174)*((0*y + 2*y - 4*y)*(0*y - y + 2*y) - 11 + 11 - 29*y**2).
-6727*y**2
Expand 11*g + g - g + 3 + g + 0*g + g + (-g - 3*g - 2*g)*(1 - 1 - 3).
31*g + 3
Expand (-3 + 3 + 1)*(3 - 3 + 2)*(0 + 2 - 3)*(10*a - 15*a - 43*a)*(1 - 2 + 0).
-96*a
Expand (3092*a - 3093*a + 14044 + 3730)*(-4 - 2 + 4).
2*a - 35548
Expand 6*a**5 + 23*a**5 + 7*a**5 + (40 + 24*a**3 - 40)*(-2*a**2 + a**2 + 0*a**2).
12*a**5
Expand ((8 - 8 + 13)*(j + 4*j - 6*j) - 4*j - 3*j + 4*j + 2*j + 5 - 5 + 4*j - 4*j + 2*j + (0 - 1 + 3)*(-2*j + 0*j + 3*j) + j + 3*j - 2*j)*(0 + 1 - 3).
16*j
Expand (-2*z**3 + 3*z**3 + z**3)*(54*z - 5093 + 5103 - 16*z).
76*z**4 + 20*z**3
Expand (4*m**3 - 4*m**3 + m**3)*(0*m - m + 2*m) + (2*m - m + m)*(-2*m**3 - 8*m**3 + 2*m**3).
-15*m**4
Expand (661 - 661 + 1650*d)*(-d**2 + d**2 + 2*d**2).
3300*d**3
Expand (-2 + 0 + 1)*(3210*g + 82*g**4 - 3210*g)*(-34 + 18*g + 11*g - 27*g).
-164*g**5 + 2788*g**4
Expand (-30*x + 33*x + 31 - 1)*(-x + 11*x + 5*x) + 0*x + 0*x - 2*x**2.
43*x**2 + 450*x
Expand (0 + 0 + i)*(61 + 146 - 2875).
-2668*i
Expand (3 + 0 - 2)*(-2*b**2 - b**2 + 5*b**2)*(-2403*b + 649*b - 867*b).
-5242*b**3
Expand -c - 1 + 1 + (-2 - 1 + 5)*(-4*c + 3*c + 0*c) + 3*c - 3*c + c + 6*c - 2 + 2 + 0*c + 50 + 3*c + 6*c + 101 - 16*c.
-3*c + 151
Expand (4 + 0 - 2)*(136*d - 348*d + 143*d) + 0 + 0 + 2*d - 7*d + 0*d + 0*d + (0 - d + 0)*(-1 - 1 + 4) + 4*d - d - 5*d + d - 3*d + d - 2*d + 4*d - d.
-147*d
Expand (-3*g**3 + 0*g**3 + g**3)*(141 + 0*g**2 - g**2 + 5298).
2*g**5 - 10878*g**3
Expand (-7*c**3 + 12*c**3 + 7*c**3)*(2*c**2 - 106*c - 7 + 1260*c + 6).
24*c**5 + 13848*c**4 - 12*c**3
Expand ((-3 - 3 + 4)*(5*h - 3*h - h) - 3 - h + 3)*(3*h**3 - 13*h + 13*h + (-45*h + 34*h + 51*h)*(0*h**2 - 9*h**2 + 3*h**2)).
711*h**4
Expand (8 + 4 - 1)*(2*c**5 + 24748*c**4 - 24748*c**4 - 16).
22*c**5 - 176
Expand ((j - j + j)*(4 - 2 - 1) - 595 + j + 595)*(-j**3 + 0*j**3 - j**3 + (j**2 - j**2 - 2*j**3)*(2 + 1 - 5) - 2*j**3 - 2*j**3 - 7*j**3).
-18*j**4
Expand -2*o - 1 + 1 + (-1 - 4 + 3)*(1 - 1 - 2*o) - 1 - 2*o + 1 + o + 3 - 3 + (-1 - 2 + 5)*(-76 + 188 - 87)*(o + 1 - 1).
51*o
Expand (-155 + 152 + 510*u - 58*u)*(3 - 1 - 1).
452*u - 3
Expand (-29*y**2 - 29*y**2 + 17*y**2)*(-2 + 1 - 10)*(4 - 4 - 1).
-451*y**2
Expand (-4*c + 0*c + 5*c)*(-1 + 3 - 4) - 2*c + 5 - 5 + 7153*c + 9815*c + 7309*c + 5*c + c - 5*c.
24274*c
Expand 13*b**4 + 55 + 72 - 177 + (2*b**2 + 0 + 0)*(2*b + b**2 - 2*b).
15*b**4 - 50
Expand (-3*x**2 - 1190*x - 12 + 1190*x)*(24*x + 12*x - 7*x).
-87*x**3 - 348*x
Expand (15 + 10 - 8)*(-1 + 4 - 2)*(0 - 4 + 6)*(-2*v**3 - 2*v**2 + 2*v**2 + 3*v**3 + 3*v**3 - 4*v**3 + (v**2 + 3*v**2 - 5*v**2)*(1 - 1 - 2*v)).
68*v**3
Expand (153 - 96 + 172)*(289 - 289 - 16*q**4).
-3664*q**4
Expand (0 - 5 - 1)*(-87*z + 7*z - 12*z) + 5*z - 2*z - 1 + 0*z.
555*z - 1
Expand -u**5 + 3*u**5 - u**5 + (4*u - 4*u + 2*u**5 + (-u**2 + u**2 + u**5)*(62 - 7 + 27))*(1 - 2 - 2).
-251*u**5
Expand (13*g + g + 2*g)*(-2 - 3 + 2) + (1 + 2 - 2)*(-3 + 3 - 2*g).
-50*g
Expand -237*v**3 + 16*v - 2*v**4 + 237*v**3 + (-2*v**2 + 3*v - 3*v)*(-3*v**2 + 0*v**2 + v**2) + 0 - 2*v**4 + 0 + 2*v**4 - 1 + 1 - 7*v**4 + 11*v**4 - 7*v**4.
-v**4 +
|
{
"pile_set_name": "DM Mathematics"
}
|
st derivative of 0 - h - 5*o**3 + 3*o - 3*o wrt o.
-15*o**2
Let u(l) be the third derivative of 17*l**7/210 + l**6/120 + 11*l**4/24 + l**3/2 - 11*l**2. What is the second derivative of u(m) wrt m?
204*m**2 + 6*m
Let n(y) be the first derivative of 0*y + 0*y**4 - 9/5*y**5 - 4 + 3*y**3 + 0*y**2. What is the third derivative of n(a) wrt a?
-216*a
Let n(i) be the third derivative of -71*i**6/60 + 128*i**3/3 + 241*i**2. What is the first derivative of n(j) wrt j?
-426*j**2
Let a = 0 - -13. Let y be 4/9*(-27)/(-6). Find the second derivative of -y*v**2 + 20 - 33 + a + 2*v wrt v.
-4
Let i(x) = -84*x**2 - 126. Let p(a) = -42*a**2 - 63. Let n(f) = -3*i(f) + 5*p(f). Differentiate n(h) with respect to h.
84*h
What is the third derivative of -411*p**2 + 120*p**2 + 58*p**4 + 125*p**2 + 48*p**4 + 123*p**2 - p wrt p?
2544*p
Suppose 5*f = 10*f. Suppose 3*h = -s + 10 - f, 0 = -h + 3*s. Find the third derivative of -2*z**2 - 6*z**4 - 194*z**3 + 194*z**h wrt z.
-144*z
Let c be (-2)/1 + -5 + 1052 + 0. What is the third derivative of -1045*j**3 + 46*j**5 + c*j**3 + 27*j**2 wrt j?
2760*j**2
Differentiate -7*y - 54 - 32 + 4*y + 414*y - 21 wrt y.
411
Let s be -10 - -6 - (-8 - -4). Let q(p) be the first derivative of 0*p**3 + 0*p**2 - 4/5*p**5 - 6*p - 6 + s*p**4. Differentiate q(y) with respect to y.
-16*y**3
Let s(p) = 6*p - 234. Let w(c) = 5*c - 239. Let f(b) = 2*s(b) - 3*w(b). Differentiate f(g) wrt g.
-3
Find the second derivative of 2350 + 11*m - 11*m**3 - 2350 wrt m.
-66*m
Find the first derivative of -36*s + 42 + 75*s + 18 - 15 wrt s.
39
Let b be -1 + 2/4*8. What is the second derivative of -33*o + 16*o**b + 14*o - 28*o**3 wrt o?
-72*o
Let a(k) be the first derivative of -k**4/4 + 9*k**3 + 12*k**2 + 3*k + 239. Find the second derivative of a(s) wrt s.
-6*s + 54
Let y(l) be the first derivative of -181*l**5/5 - 136*l**3/3 + 120. What is the third derivative of y(x) wrt x?
-4344*x
Suppose -9*a - 3*y = -4*a - 14, a - 12 = 4*y. Suppose -a*w + 22 = 5*o - 2*o, -o + 4*w = -2. Differentiate -3*x**2 - 9*x + o + 9*x wrt x.
-6*x
Suppose 5*h - 5*s = 100, 5*h + 0*s - 3*s = 104. Let w be 1/(((-28)/88)/(-7)). What is the third derivative of w + 9*k**2 - h - 4*k**6 wrt k?
-480*k**3
What is the derivative of -156*y**2 + 65 - 2*y + 2*y - 86*y**2 + 13*y**2 wrt y?
-458*y
Let m(t) be the first derivative of -13/3*t**3 + 3*t**6 + 0*t + 0*t**4 + 13 + 0*t**5 + 0*t**2. Find the third derivative of m(a) wrt a.
1080*a**2
Let s(j) be the third derivative of -223*j**8/336 - 10*j**5/3 + 537*j**2. Find the third derivative of s(t) wrt t.
-13380*t**2
Let o(r) = r**3 - 8*r**2 + 7*r + 2. Let k = -5 + 12. Let w be o(k). What is the third derivative of 5*s**3 - 2*s**w - 3*s**2 + 5*s**3 - 3*s**3 wrt s?
42
Find the third derivative of -74*b**3 + 8*b**3 - 86 + 16*b**3 + b**2 wrt b.
-300
Let q = 4089/2 - 2041. Let b(t) be the second derivative of 1/2*t**4 + 0 - q*t**2 + 0*t**3 - 12*t. What is the first derivative of b(y) wrt y?
12*y
Let v(f) = 766*f**2 - 256*f + 17. Let n(i) = -256*i**2 + 85*i - 6. Let p(o) = 17*n(o) + 6*v(o). Find the second derivative of p(a) wrt a.
488
Let i(y) be the second derivative of 27*y**5/5 + 137*y**2/2 + 88*y. Differentiate i(m) with respect to m.
324*m**2
Let p(w) = -w**2 + 7*w - 4. Let a be p(6). Suppose -23 = -5*k + a. Find the second derivative of 0*i - 2*i**2 + 7*i - k*i wrt i.
-4
Let f(a) be the second derivative of -3*a**6/40 - 3*a**5/10 + 4*a**4 - a. Let c(o) be the third derivative of f(o). Find the first derivative of c(l) wrt l.
-54
Let j = 127 + -125. Find the third derivative of 17*m**j - 22*m**3 - 130*m - 131*m + 261*m wrt m.
-132
Let u(r) be the first derivative of 74*r**5/5 - 117*r - 211. Differentiate u(s) with respect to s.
296*s**3
Let b be (123 - 123)/(4/2 + 0). Let h(y) be the first derivative of b*y**3 - 1/5*y**5 + 2*y**2 + 0*y**4 + 5 + 0*y. Find the second derivative of h(v) wrt v.
-12*v**2
Let g(y) = y**3 + 3*y**2 - 3. Let l be g(2). What is the derivative of l*m - 1 - 2 - 5*m - 4 wrt m?
12
Let k(s) be the second derivative of -85*s**7/7 - 32*s**3 + 368*s. Find the second derivative of k(z) wrt z.
-10200*z**3
What is the third derivative of 645 + 322*m**2 + 643 - 1288 + 538*m**3 wrt m?
3228
Let g(i) be the second derivative of -19/12*i**4 + 0*i**2 - 21*i - 9/20*i**5 + 0 + 0*i**3. Find the third derivative of g(z) wrt z.
-54
Let c = -20 + 12. Let b be 76/16 - 2/c. What is the second derivative of 5*z - 15*z**4 + 15*z**4 - 4*z**b + 3*z**5 wrt z?
-20*z**3
Let l(b) = b**2 + 12*b + 16. Let m be l(-11). What is the second derivative of -4*c + 10*c**5 - 2*c**m + 0*c**5 + c wrt c?
160*c**3
Let s(y) be the first derivative of y**10/120 - y**6/180 - 2*y**3 + 6. Let x(h) be the third derivative of s(h). What is the third derivative of x(z) wrt z?
5040*z**3
Let l(q) be the third derivative of 121*q**8/336 + q**5/20 - q**4/8 + 54*q**2. Find the third derivative of l(k) wrt k.
7260*k**2
Let y(c) be the first derivative of -4 + 0*c**2 + 0*c + 9*c**3 + 29/4*c**4. What is the third derivative of y(q) wrt q?
174
What is the first derivative of -93 - 12 - 11 - w**2 - 3*w wrt w?
-2*w - 3
Let h(x) = -1. Let c(n) = -n - 6. Let o(a) = 2*c(a) - 11*h(a). Let l be o(-3). Find the third derivative of v**6 + 15*v**4 - 15*v**4 + v**6 - l*v**2 wrt v.
240*v**3
Suppose 12*g = 8*g + 44. What is the third derivative of -7*m**3 - 5*m**3 + g*m - 11*m + m**2 wrt m?
-72
Let f(y) be the second derivative of -61*y**5/10 - 117*y**2 + 23*y - 2. What is the first derivative of f(o) wrt o?
-366*o**2
Suppose 0*c = 2*c. Suppose c = -2*k + 5*n + 8, -4*k - 5 = -4*n - 21. Find the second derivative of -2 + 2 + k*g**5 - 8*g**5 - 8*g wrt g.
-80*g**3
Let x = -28 - -36. Find the second derivative of -x*i**5 - 3*i + 5*i + i wrt i.
-160*i**3
Let d(h) be the third derivative of 79*h**7/42 + 4*h**3/3 + 195*h**2. Differentiate d(n) with respect to n.
1580*n**3
Let k = -12 + 12. Suppose 3*f = -5*x + x, k = -f - 4. Find the third derivative of 17*r**2 - r**3 + 2*r**x - 14*r**2 wrt r.
6
Let d(x) = x**2 + 7*x - 7. Let j be d(-8). Let p be (-3 + j)*4/(-2). What is the second derivative of -4*q + 4*q**4 + 3*q**p - 6*q**4 + 4*q**4 wrt q?
60*q**2
Suppose -5*g + 6 - 1 = 0. Find the first derivative of -g + 4*a**3 - 13*a**3 + 7 - 8 wrt a.
-27*a**2
Let b = 87 - 73. What is the first derivative of -23 - 13 - b*n**4 + 19 wrt n?
-56*n**3
Let a(w) = 4*w**2 - 2*w - 1. Let c be a(-1). Suppose -2*b = 2*y - b - 4, -c*y + 9 = 3*b. Find the second derivative of 5*h - h - 5*h**5 + 5*h - y*h**5 wrt h.
-160*h**3
Let v be (-4 - 1 - -10) + -3. Let h(y) = -7*y + 1. Let t be h(-1). What is the second derivative of 6*z**v + t*z - 7*z - 2*z**2 wrt z?
8
Let t(s) = 203*s**3 - 7*s**2 - 873*s - 7. Let n(z) = -103*z**3 + 4*z**2 + 436*z + 4. Let a(w) = -7*n(w) - 4*t(w). What is the second derivative of a(q) wrt q?
-546*q
What is the second derivative of -8*o**2 - 74*o**5 + 5*o**2 + 2*o**2 - o**2 - 207*o - 294*o**5 wrt o?
-7360*o**3 - 4
Let f(w) be the second derivative of -w**8/24 - 5*w**4/3 + 31*w**2/2 + 41*w. Let d(o) be the first derivative of f(o). Find the second derivative of d(y) wrt y.
-280*y**3
Find the third derivative of -5356*c**2 - 811*c**4 + 2538*c**2 + 2329*c**2 wrt c.
-19464*c
Suppose -6*n + n - 38 = -4*t, -5*n - 3 = t. Suppose -t*o + 3 = -4*o. Find the first derivative of -o + 0 - 7*g**2 + 2 + 0*g**2 wrt g.
-14*g
Let m = -60 - -101. Suppose m = 5*i - 4. What is the second derivative of 10*z**3 + i*z**3 + 10*z - 9*z**3 wrt z?
60*z
Suppose 6 = x - 2*d - 1, -4*x + 21 = -d. Let l = 10 - x. Differentiate 0*o**3 - 4 + l*o**3 - 3 + 2 wrt o.
15*o**2
Let f(d) be the second derivative of -749*d**6/30 - d**5/20 + 149*d**4/6 + 8*d - 53. What is the third derivative of f(p) wrt p?
-17976*p - 6
Let k(n) = 7*n**2 - 34*n - 141. Let f(b) = 8*b**2 - 33*b - 148. Let h(m) = -6*f(m) + 7*k(m). What is the first derivative of h(t) wrt t?
2*t - 40
What is the third derivative of -3*d - 3*d**2 - 15*d - 2*d - 131*d**3 + 5*d**2 wrt d?
-786
Find the third derivative of 297287*v - 297287*v + 100*v**3 - 41*v**2 wrt v.
600
Let b(v) = -10*v**3 - 169*v**2 - 452*v - 7. Let f(r) = -7*r**3 - 113*r**2 - 302*r - 5. Let d(g) = -5*b(g) + 7*f(g). What is the second derivative of d(a) wrt a?
6*a + 108
Suppose 3*i + 26 = 5*x, i = x - 0*i - 6. Suppose -f - f + 7
|
{
"pile_set_name": "DM Mathematics"
}
|
s 111 divide 5217?
True
Does 17 divide 1802?
True
Is 47 a factor of 1222?
True
Is 14491 a multiple of 99?
False
Is 12 a factor of 1161?
False
Is 71 a factor of 53948?
False
Is 7 a factor of 1895?
False
Does 44 divide 9276?
False
Does 109 divide 1417?
True
Is 231 a factor of 28032?
False
Is 8 a factor of 4465?
False
Is 1575 a multiple of 6?
False
Is 1922 a multiple of 9?
False
Is 1608 a multiple of 24?
True
Is 20 a factor of 140?
True
Does 173 divide 14705?
True
Does 3 divide 100?
False
Does 21 divide 362?
False
Is 13 a factor of 51?
False
Does 11 divide 17412?
False
Is 3400 a multiple of 34?
True
Does 8 divide 544?
True
Does 6 divide 10272?
True
Is 3274 a multiple of 16?
False
Is 48 a multiple of 2?
True
Is 63 a factor of 43874?
False
Is 17 a factor of 6293?
False
Is 7 a factor of 257?
False
Is 216 a multiple of 9?
True
Does 28 divide 2552?
False
Is 20 a factor of 160?
True
Does 19 divide 10211?
False
Does 6 divide 21156?
True
Is 12 a factor of 12096?
True
Is 117 a factor of 10955?
False
Does 331 divide 8734?
False
Is 312 a multiple of 6?
True
Does 33 divide 82401?
True
Is 4407 a multiple of 39?
True
Is 3 a factor of 276?
True
Is 8324 a multiple of 138?
False
Does 72 divide 2609?
False
Is 15 a factor of 6128?
False
Is 45 a factor of 1286?
False
Is 27977 a multiple of 39?
False
Is 22 a factor of 10736?
True
Is 21 a factor of 1827?
True
Does 62 divide 1505?
False
Does 13 divide 78391?
False
Is 7682 a multiple of 9?
False
Is 340 a multiple of 5?
True
Is 6472 a multiple of 18?
False
Is 18 a factor of 309?
False
Is 129 a multiple of 12?
False
Is 22617 a multiple of 58?
False
Does 79 divide 19418?
False
Does 45 divide 8317?
False
Is 5580 a multiple of 31?
True
Is 8 a factor of 816?
True
Is 10227 a multiple of 4?
False
Is 244 a factor of 41480?
True
Is 1275 a multiple of 22?
False
Is 3 a factor of 12?
True
Is 4 a factor of 204?
True
Is 23920 a multiple of 65?
True
Does 6 divide 2220?
True
Is 6713 a multiple of 124?
False
Is 57 a multiple of 23?
False
Is 246 a multiple of 11?
False
Does 24 divide 4776?
True
Is 24 a factor of 60576?
True
Is 18 a factor of 8741?
False
Is 30 a factor of 1225?
False
Is 1944 a multiple of 8?
True
Is 7 a factor of 105?
True
Is 38 a factor of 382?
False
Is 83116 a multiple of 42?
False
Does 71 divide 333?
False
Does 30 divide 84819?
False
Does 30 divide 46350?
True
Does 21 divide 689?
False
Does 55 divide 1815?
True
Is 10220 a multiple of 20?
True
Does 27 divide 2241?
True
Is 576 a multiple of 16?
True
Is 42 a factor of 3864?
True
Is 24 a factor of 1002?
False
Is 55 a factor of 128477?
False
Is 9958 a multiple of 81?
False
Is 1404 a multiple of 18?
True
Is 266 a multiple of 23?
False
Is 1334 a multiple of 46?
True
Is 1334 a multiple of 8?
False
Is 45 a factor of 5745?
False
Is 46 a factor of 35650?
True
Is 24 a factor of 72?
True
Is 5 a factor of 77995?
True
Is 24 a factor of 8438?
False
Is 50 a factor of 116250?
True
Is 1814 a multiple of 62?
False
Does 30 divide 1745?
False
Does 4 divide 656?
True
Is 39 a multiple of 16?
False
Does 19 divide 7144?
True
Is 12 a factor of 1332?
True
Is 7 a factor of 7760?
False
Is 886 a multiple of 41?
False
Is 1236 a multiple of 4?
True
Does 8 divide 13278?
False
Is 504 a multiple of 12?
True
Is 50 a multiple of 22?
False
Is 64023 a multiple of 364?
False
Is 33 a factor of 13431?
True
Is 75 a factor of 1928?
False
Is 6 a factor of 234?
True
Is 8 a factor of 884?
False
Does 29 divide 185?
False
Is 579 a multiple of 81?
False
Does 23 divide 759?
True
Is 9 a factor of 19?
False
Is 17 a factor of 5019?
False
Is 2941 a multiple of 173?
True
Is 1077 a multiple of 17?
False
Does 30 divide 2854?
False
Is 3210 a multiple of 5?
True
Is 16727 a multiple of 42?
False
Does 96 divide 3434?
False
Is 37 a factor of 1332?
True
Is 5934 a multiple of 23?
True
Does 31 divide 701?
False
Is 133 a factor of 14630?
True
Does 9 divide 10035?
True
Does 17 divide 187?
True
Is 5604 a multiple of 32?
False
Is 2410 a multiple of 10?
True
Is 4231 a multiple of 96?
False
Is 48 a factor of 21456?
True
Does 16 divide 192?
True
Is 100 a multiple of 3?
False
Is 34 a factor of 5610?
True
Is 26 a multiple of 13?
True
Is 162 a factor of 2592?
True
Is 44 a factor of 528?
True
Does 21 divide 53288?
False
Is 6110 a multiple of 130?
True
Is 10 a factor of 12603?
False
Is 8505 a multiple of 45?
True
Is 912 a multiple of 12?
True
Is 115491 a multiple of 137?
True
Does 18 divide 8244?
True
Is 1594 a multiple of 51?
False
Does 7 divide 1956?
False
Does 66 divide 24750?
True
Does 30 divide 12215?
False
Does 86 divide 18662?
True
Is 9 a factor of 159?
False
Is 11716 a multiple of 101?
True
Does 19 divide 2546?
True
Is 29 a factor of 71132?
False
Does 15 divide 13393?
False
Is 3 a factor of 2051?
False
Is 9 a factor of 2153?
False
Does 287 divide 40467?
True
Is 165 a factor of 76725?
True
Is 20860 a multiple of 20?
True
Is 678 a multiple of 58?
False
Does 20 divide 2860?
True
Is 128 a factor of 7040?
True
Is 60 a factor of 1560?
True
Is 143 a factor of 60532?
False
Is 147 a factor of 3910?
False
Does 37 divide 6103?
False
Does 41 divide 1599?
True
Does 4 divide 192?
True
Does 5 divide 295?
True
Does 38 divide 8892?
True
Does 9 divide 489?
False
Does 9 divide 1869?
False
Does 12 divide 13284?
True
Is 15 a factor of 3885?
True
Is 52 a factor of 676?
True
Does 31 divide 895?
False
Is 15 a factor of 3623?
False
Does 15 divide 38415?
True
Is 2 a factor of 58?
True
Does 23 divide 2180?
False
Is 42 a factor of 1464?
False
Is 48 a factor of 67?
False
Is 322 a multiple of 16?
False
Does 11 divide 99?
True
Is 43 a factor of 5117?
True
Is 73 a multiple of 5?
False
Is 7500 a multiple of 25?
True
Is 68 a factor of 3305?
False
Does 93 divide 3356?
False
Is 9 a factor of 3933?
True
Is 18 a factor of 4518?
True
Does 4 divide 8?
True
Is 2830 a multiple of 10?
True
Is 96 a factor of 8448?
True
Does 31 divide 3875?
True
Is 30456 a multiple of 216?
True
Is 3 a factor of 89?
False
Is 76 a factor of 4028?
True
Is 1384 a multiple of 11?
False
Is 44 a multiple of 11?
True
Does 28 divide 20895?
False
Does 7 divide 271?
False
Is 1819 a multiple of 46?
False
Does 77 divide 8239?
True
Is 59 a multiple of 9?
False
Is 6441 a multiple of 155?
False
Does 26 divide 832?
True
Is 664 a multiple of 9?
False
Is 60 a factor of 8376?
False
Is 24 a factor of 42504?
True
Is 14 a factor of 13454?
True
Is 18 a factor of 4662?
True
Is 89 a factor of 801?
True
Is 170 a factor of 65117?
False
Does 120 divide 53640?
True
Does 52 divide 40425?
False
Is 5819 a multiple of 38?
False
Is 5095 a multiple of 15?
False
Is 123 a multiple of 11?
False
Does 2 divide 9616?
True
Is 39 a factor of 3510?
True
Is 1140 a multiple of 9?
False
Is 71 a factor of 59214?
True
Is 13 a factor of 1196?
True
Is 22627 a multiple of 78?
False
Does 31 divide 107?
False
Does 182 divide 26839?
False
Does 17 divide 2576?
False
Is 36 a factor of 9504?
True
Does 20 divide 800?
True
Is 26 a factor of 788?
False
Is 2272 a multiple of 142?
True
Does 2 divide 4317?
False
Is 75 a factor of 64271?
False
Is 450 a multiple of 18?
True
Is 1377 a multiple of 17?
True
Is 24639 a multiple of 43?
True
Is 42933 a multiple of 33?
True
Is 728 a multiple of 91?
True
Is 13 a factor of 5356?
True
Does 4 divide 32546?
False
Does 10 divide 3858?
False
Does 19 divide 1080?
False
Is 2 a factor of 118?
True
Is 13 a factor of 729?
False
Is 8 a factor of 6800?
True
Is 11448 a multiple of 54?
True
Is 118 a factor of 25742?
False
Is 29 a factor of 79965?
False
Is 25 a factor of 175?
True
Is 11 a factor of 793?
False
Is 6 a factor of 190?
False
Is 9 a factor of 57308?
False
Does 10 divide 130?
True
Is 16 a factor of 3863?
False
Is 5120 a multiple of 106?
False
Is 1071 a multiple of 21?
True
Is 5 a factor of 39?
False
Is 3 a factor of 118?
False
Does 33 divide 2079?
True
Is 3854 a multiple of 94?
True
Is 46240 a multiple of 176?
False
Does 170 divide 4760?
True
Is 21 a factor of 66?
False
Does 67 divide 3007?
False
Does 21 divide 1198?
False
Is 7257 a multiple of 177?
True
Does 5 divide 1871?
False
Is 1071 a multiple of 17?
True
Does 2 divide 88?
True
Is 294 a multiple of 21?
True
Does 45 divide 7155?
True
Is 18 a factor of 918?
True
Does 6 divide 2333?
False
Does 37 divide 687?
False
Does 9 divide 360?
True
Is 13 a factor of 1454?
False
Is 5
|
{
"pile_set_name": "DM Mathematics"
}
|
= -5*z + 2, 30 = -3*q + 4*z. Give g(q).
-2
Let t(r) = -2*r**3 + 14*r**2 - 16*r - 1. Let m(v) = -v**3 + 7*v**2 - 8*v. Let c(q) = -5*m(q) + 3*t(q). Let f be (4 - 2)*(-104)/16. Let j = f + 19. What is c(j)?
-15
Let c be 17/3 + (-3 - 14/(-6)). Suppose -2*s - 26 = 6*x - x, 0 = -c*s - 3*x - 27. Let m(y) = 20*y. Let r(k) = -7*k. Let d(l) = 5*m(l) + 14*r(l). Determine d(s).
-6
Let b be (2 - 8/6)*3. Let h(r) = 6*r**2 - 13*r**b + 0*r**2 + 1. Suppose 2*m = 4*m + 2. What is h(m)?
-6
Let n(w) = -w - 1. Suppose 4*j + x = 5 - 18, 2*x = -4*j - 18. Let b = j + 11. Suppose 4*u = -b - 3. Calculate n(u).
2
Let h(n) be the second derivative of -11*n**3/3 - 3*n**2/2 + 5*n + 64. What is h(1)?
-25
Let j be (2/4)/(((-1)/(-62))/1). Let i(g) = -31*g + j*g + 1 - 4*g**2 - 2*g**2 - g**3. What is i(-6)?
1
Let p be 16 - -77*(-1)/7. Let f(m) = m - 3 + 2 + 4. Calculate f(p).
8
Let s(u) = -4*u**2 + 7*u - 5. Let i(m) = 13*m**2 - 19*m + 14. Let c(p) = -4*i(p) - 11*s(p). Give c(-1).
-8
Let g = -554 - -549. Let l(o) = -o**3 - 3*o**2 + 3*o - 6. Calculate l(g).
29
Let b(r) be the second derivative of -r**5/20 + 5*r**4/6 + 13*r**3/6 - 7*r**2 - 77*r. Determine b(11).
8
Let b(i) be the third derivative of i**4/24 + i**2. Let v = 157 - 117. Let f = v + -36. Give b(f).
4
Suppose -3*f - 49 = -5*s - 42, 1 = -5*s + f. Let m(u) = -u**3 - u**2 + 1. Let i(h) = 5*h**3 - h**2 + h + 3. Let c(x) = i(x) - 3*m(x). Give c(s).
-7
Let l(o) = -36*o**2 + 18*o**3 + 65*o**2 - 28*o**2 - o. Determine l(1).
18
Let m(o) = -2 + 1 + 4 + 2*o**2 - 8*o. Suppose 945 = 208*z - 19*z. Determine m(z).
13
Suppose 0 = 2*o - 7*o + 45. Let a(j) = 2 + 4 + j**2 - o + 5*j. Give a(-5).
-3
Suppose 0 = -17*c + 369 + 73. Suppose 4*p + 10 = 130. Let j = c - p. Let x(m) = -m. What is x(j)?
4
Let i(d) be the third derivative of d**5/60 - 3*d**4/4 + 13*d**3/6 + 257*d**2. What is i(18)?
13
Let a(i) = 2*i - 7. Let b(k) = 1. Let l(u) = a(u) + 6*b(u). Let s(d) = 2*d + 8. Let r be s(6). Suppose 0 = z - q - 7, r = -2*z + 4*z - 4*q. What is l(z)?
7
Let w(n) be the second derivative of n**5/20 - n**4/6 - 2*n**3/3 + 2*n + 184. Determine w(-2).
-8
Let i(x) = -x**3 + 9*x**2 + 11*x + 6. Let m be -20*(0 + ((-5)/2 - -2)). Determine i(m).
16
Let d be (2/(-1))/(-2 - -1). Let n(f) = f**2 - f + 2. Let a be n(0). Let l(s) = 0*s**2 + s**3 - 2*s + 2 - 5*s**2 + s**d - s**a. Give l(5).
-8
Let a(g) = 3*g - 12. Let q(w) = 4*w - 17. Let u(t) = 7*a(t) - 5*q(t). Let n = -4 - -3. Give u(n).
0
Suppose 0 = 17*k - 18*k, -3*l = 3*k - 3. Let o(s) be the first derivative of s**4/2 + s**3/3 - 2. Give o(l).
3
Let f = -10 - -98. Let r(z) = -87 - 9*z**2 + 8*z**2 + z**3 + f. Let c be 0/(1 + (0 - -1)). Calculate r(c).
1
Let a(b) = b**2 + 5*b - 6. Let k = 63 - 59. Suppose k*g - 9*g = 30. What is a(g)?
0
Let a(u) = -5*u**3 - 22*u**2 - 21*u - 3. Let q(p) = -6*p**3 - 22*p**2 - 21*p - 1. Let o(n) = -5*a(n) + 4*q(n). What is o(-21)?
11
Let q(p) = -14*p**2 + 3*p**3 + 6*p**2 - 4*p**2 + 22*p - 2*p - 11. Let c(j) = -j**3 + 4*j**2 - 7*j + 4. Let n(m) = 11*c(m) + 4*q(m). Determine n(3).
0
Let l(n) = -5*n**3 + 3*n**2 + 3*n + 8. Let m(h) = 6*h**3 - 4*h**2 - 4*h - 9. Let b(s) = -5*l(s) - 4*m(s). Calculate b(3).
35
Let f(u) = 10*u + 2 - 4 - 14*u + 9*u - 11. Calculate f(3).
2
Let t = 6 - 4. Let x(r) = 3*r**2 - r**t - 2 - r**2 + 2*r. Let q be 1/(-5)*(-51 + -9)/4. Give x(q).
13
Let n(h) = -14*h + 169. Let r be n(9). Let u = 13 - 9. Let a(q) = -r + 42 + 5*q**2 - u*q**2. What is a(2)?
3
Let s = 118 - 119. Let t(p) = -p**3 - 7*p**2 - 7*p + 3. Let k(y) = y - 2. Let v(q) = s*t(q) - k(q). What is v(-6)?
-1
Let u be -3 - (2 - 1) - -2. Let y(p) be the first derivative of 4*p**2 + 2*p - 2. Give y(u).
-14
Let f(x) = x**3 + 2511*x**2 - 2501*x**2 + 0*x**3 + 11*x. Calculate f(-9).
-18
Suppose 4*p - 9*p = 0. Let r(w) = w**2 - 3. Let b be r(p). Let m(h) = -h**3 - 4*h**2 - 3*h + 4. Let d be m(b). Let v(u) = u**2 - 6*u + 2. What is v(d)?
-6
Let d = -101 + 101. Suppose -x + 2 - 10 = d. Let g(i) = i**3 + 9*i**2 + 10*i + 8. Give g(x).
-8
Let x = 240 - 150. Suppose x = -7*g + 10*g. Suppose 9*k + g = 4*k. Let w(o) = -o**3 - 6*o**2 - o + 6. What is w(k)?
12
Let s(o) = o. Suppose 0 = -p + 18 - 11. Suppose 0 = 4*b + 4*c + p + 21, 2*c + 8 = b. Calculate s(b).
-2
Let l(z) = -z**3 + 15*z**2 - 12*z + 1. Let h be l(14). Let r = h - 24. Let i(o) = o**2 - 4*o - 4. Calculate i(r).
1
Let c(l) = l**2 - 5*l + 25. Let x be c(8). Let o = -43 + x. Let y(n) = -n**2 + 7*n - 5. What is y(o)?
1
Let x(j) = 6*j**2 + 3. Let d = 1245 + -1247. Determine x(d).
27
Let q(l) be the first derivative of -l**3/3 - 7*l**2/2 - l - 174. Suppose 0 = -2*m - 2*x + 3*x - 14, 0 = x - 2. What is q(m)?
5
Let v = 60 + -42. Let z = 23 - v. Let a(j) = 3*j + 3*j - j - 5 - 4*j. Determine a(z).
0
Let t(j) = -j**3 + 5*j**2 + 3*j + 13. Let f be t(6). Let s(g) = g**3 + 5*g**2 - 2*g - 7. Give s(f).
3
Let s(v) be the second derivative of -v**4/12 + 5*v**3/6 - v**2 - v. Suppose -2*j + 33 = 27. Give s(j).
4
Suppose 395*r + 90 = 413*r. Let s(h) = -h**3 + 6*h**2 - 4*h - 4. Determine s(r).
1
Let h(r) = -19*r - 22. Let a(k) = 10*k + 10. Let t(x) = 13*a(x) + 6*h(x). What is t(1)?
14
Let t(a) be the first derivative of 5*a**2/2 - 5*a + 12. Let d(n) = -5*n + 6. Let m(q) = -6*d(q) - 7*t(q). Give m(1).
-6
Let d(o) = -18104 - 4*o**2 + 3*o**2 - 9*o + 18117. Give d(-10).
3
Let x(n) be the first derivative of 19*n**2/2 + 4*n - 447. Determine x(-2).
-34
Let q(r) = -5*r - 1. Let c(b) = -8 - 6*b - 1 + 8. Let h(n) = 3*c(n) - 4*q(n). Determine h(3).
7
Let k(n) be the third derivative of n**6/120 + n**5/12 - n**4/4 + 7*n**3/6 - 81*n**2 + 5. Let t = -1 - 5. Determine k(t).
7
Suppose 0*t = 5*t + 35. Suppose -3*b = -2*b - 14. Let q(o) = 13*o**2 + 23 + 2*o - 6*o**2 - b + o**3. Calculate q(t).
-5
Let t(h) = -h**3 + 2 + 3*h**2 - 2*h - 2*h + 3*h. Suppose -3*l + 4*w = -9 - 0, -4*l = 5*w - 12. Determine t(l).
-1
Let x(z) = 2*z**3 + z**2 + 6*z - 2. Let r(c) = -c**3 + c**2 - c. Let n(o) = -3*r(o) - x(o). Suppose -16*b = 14*b - 120. Determine n(b).
-10
Suppose 5*o = 4*w - 51, -w + 2*o - 6*o - 3 = 0. Let t(a) = -a + 12. Give t(w).
3
Let z(r) = -r**3 + 4*r**2 - r + 5. Let o be z(4). Let g(j) = 0*j + 15 + 5*j - 4*j - 15 + 6*j**3. What is g(o)?
7
Let a(j) = 3*j**2 - 97*j - 53. Let q be a(33). Let w(d) = 4*d. What is w(q)?
52
Let s(h) = 13*h + 0 - 14*h - 7 - 1. What is s(-4)?
-4
Let x(d) be the third derivative of d**6/120 - d**5/5 - 7*d**4/12 - 19*d**3/6 + 16*d**2 + 4. What is x(13)?
-32
Suppose 0 = 3*j + 4*p + 22, 0 = j + 5*p. Let h be 0 + 5/j - 14/4. Let k(x) = x**3 + 3*x**2 - 3*x + 5. Give k(h).
1
Let l(g) = 20*g - 16. Let u(b) = b + 4. Let i(j) = j + 7. Let n(f) = 3*i(f) - 5*u(f). Let y(m) = -l(m) - 16*n(m). What is y(1)?
12
Let o(s) = 807 - 6*s + 17*s + 2*s**2 - 806. Give o(-5).
-4
Let h(b) = -b**3 - 4*b**2 + 5*b + 5. Let d be (0*2/4)/(-1). Suppose z - m = d, -3*z - 3*m - 30 = -6. Calculate h(z).
-15
Let z(d) = d**3 - d**2 - 1. Let x be 10/(-4)*(-12)/6. Suppose s = 2*o - 5, o = -x*s - 15 - 10. Calculate z(o).
-1
Let b(w) = w - 1. Let j(h) = h**3 + 12*h**2 + 6*h + 10. Let p(n) = -6*b(n) - j(n). Determine p(-11).
7
Let c(w) be the third derivative of 11*w**6/120 + w**5/60 - w**4/24 - 18*w**2. Give c(1).
11
Suppose f - 6 = 2*c, -2*c + 4*f = -4*c + 4. Let r(o) = 2*o + 2 - 2 + 2 + 0 - 6*o. Determine r(c).
10
Let w(x) be the first derivative of -7*x**2/2 - 4*x - 55. What is w(-2)?
10
Let s(k) = -5*k**2 + 13*k - 1. Let a(m) = -m**2 + m - 1. Let n(c) = 4*a(c) - s(c). Let d = -1964 - -1971. What is n(d)?
-17
Let l(f) = f - 4. Let b be l(3). Let m be 4/(1 + 3) - b. Let p(q) = -7 + 3*q**2 - 8*q - 9*q**m + 4*q + 2*q - q**3. Determine p(-6).
5
Let y(k) = -3*k + 5. Let n(w) = 5*w + 9. Let b be n(-1). Give y(b).
-7
Let q = -2 - -5. Suppose 27 = 3*t - u - 13, 0 = -4*u - 16. Suppose -q*g = -t, 2*g + 8 = 4*y - 8. Let s(b) = -b + 14. What is s(y)?
8
Let n(f) = -f**2 + 11*f + 30. Let o(w) = w - 5. Let u(j) = n(j) - 7*o(j). What is u(-6)?
5
Let q(i) be the second derivative of i**5/5 + i**4/6 + i**3/6 - 2*i. Let a(f) = -f**2 - 23*f - 1. Let p be a(-23). What is q(p)?
-3
Let b(y) = 8*y - 50*y**2 - 2 + 3*y + 11 + 2 + 49*y**2. Determine b(11).
11
Let x(c) = c - 53*c**2 + 27*c**2 + 44*c**2. Determine x(1).
19
Let v(w) = -13*w**2 - 2*w - 1. Let s be (-2)/(-9*(-7)/63). Determine v(s).
-49
Suppose 2*a + 3*k - 9 = 0, -5*a +
|
{
"pile_set_name": "DM Mathematics"
}
|
Let o = v - 3.7. Which is bigger: u or o?
o
Let u = 32 + -32. Suppose 6*q + u = -6. Is -2 at least as big as q?
False
Let l(r) = -r**2 + 4*r. Suppose -3*s - 8 = -20. Let x be l(s). Suppose x = -q - 0*q. Is q greater than 0?
False
Let g be 1958/(-12) - (-60)/360. Which is bigger: -164 or g?
g
Suppose -26 = -2*p - 5*t, 0 = -5*p + 5*t + 2 - 7. Let q = 1 + -1.1. Are q and p unequal?
True
Suppose 19 = -2*q + 59. Let m be 0 + -2 + 48/q. Suppose 0 = 3*y - y + 18. Which is bigger: m or y?
m
Let q = 3253/6 - 544. Let a = -2342 - -2341. Is q at least a?
False
Let o = -3 - -2. Let h be (0 + o)*(-11 + -85). Let k = h - 478/5. Is k <= -1/5?
False
Let q be (-1)/(5/(-5))*-4. Let s be (-4 + (-29)/q)*36. Let o = s + -583/5. Which is bigger: o or 0.24?
o
Let f be (-23)/(-115) + 61/(-5). Let n be 0 - -4*3/f. Is n bigger than 1/28?
False
Suppose -4*m + 1 = -m - 4*o, 2*o + 3 = m. Which is smaller: m or -0.1?
m
Let o(s) = -s**2 - 8*s - 5. Let p be o(-11). Let f be 17/(-19) + 4/p. Which is smaller: f or 6?
f
Let d(h) = -5*h + 39. Let k be d(6). Suppose 3*b + k*b - 24 = 0. Is b greater than or equal to 1?
True
Suppose -35*u = -38*u - 12, -u = -2*q + 4. Which is greater: q or 1/9?
1/9
Let p be (-848)/1474 - (-324)/594. Which is smaller: -1/2 or p?
-1/2
Let l(j) = j**2 - 1. Let c be l(-1). Let u be (4/(-2))/((-2)/(-4)). Let d be u/(-18) + (-140)/549. Is c bigger than d?
True
Let d = -23.5 + 2.5. Let s = 20.94 + d. Is 2 greater than s?
True
Suppose -2*j - 60 = 5*a, -4*j - 9 = a + 3. Let z = a + 10. Let r be 2/((-4)/(-3) - z). Which is greater: 0 or r?
r
Let s = 399 - 378. Does 19 = s?
False
Let o(g) = 4*g**2 - 33*g + 19. Let t(r) = 2*r**2 - 17*r + 10. Let a(l) = -6*o(l) + 11*t(l). Let q be a(7). Let z = 22 + q. Which is smaller: z or 0.3?
z
Suppose 16 = w - 4*a, -w = -5*a - 16 - 4. Let x be -3 - (w - 22 - 0). Is 20 greater than or equal to x?
True
Let m be (0 + 35)*(-2 + 1 + 2). Suppose -9*h + m = -4*h. Let b be (-5)/1*(-12)/10. Are b and h unequal?
True
Let g(a) = -a - 19. Let d be g(-16). Let r be d - (-5 - 3/2*-2). Which is greater: r or 1/43?
1/43
Suppose 2*x - 10 = 4*x - 5*b, 4*x = -b + 2. Which is bigger: 5/347 or x?
5/347
Suppose -5*q = 4*d - 0*q - 21, -q = 4*d - 1. Let m be 15/25*d/2. Suppose -5*r = 5*y - 15, -3*r + 0*y - 1 = -2*y. Are r and m non-equal?
True
Let n = -2.9 + -9.1. Let x = -60 - -59.923. Let w = -0.077 - x. Which is greater: w or n?
w
Let f = 6 + 9. Let d = f + -19. Is d not equal to 2?
True
Let m(j) = 15*j - 1. Let c be m(5). Let i = 76 - c. Which is greater: -2 or i?
i
Let a = 582 - 582.1. Are a and 0.129 unequal?
True
Let r = -21.9 + 8.61. Let f = -2.39 - r. Let t = -11 + f. Which is bigger: 0.1 or t?
0.1
Let u = 1805 - 2210. Is u greater than or equal to -404?
False
Let n = -99 + 86. Which is greater: n or -16?
n
Let n = 0.05 + -0.75. Which is smaller: n or -19?
-19
Let a(x) = x**3 - x**2 - 4*x - 2. Let v be a(-3). Let g = 27 + v. Let t = -5/3 - -7/4. Is g != t?
True
Let l = -365 - -382. Let g = -0.1 + 0. Is g <= l?
True
Let y = -278 - -297. Let d = -2 - -1. Which is smaller: d or y?
d
Let v(m) = -m + 8. Let k be v(7). Suppose -3 = 4*n + k. Let f = 6446 + -6448. Is f not equal to n?
True
Let s be 6/12 - 150/348. Is 16/5 at most as big as s?
False
Let l = 843955/300768 + 53/3133. Let q = -35/12 + l. Which is smaller: q or -1?
-1
Let c = 133 + -94.3. Let a = c - 39. Is a less than or equal to -23?
False
Let c = -15503 + 604705/39. Let x = 266/117 - c. Which is smaller: x or -1?
-1
Let m = 24/127 + -487/1905. Which is greater: -11.2 or m?
m
Let v(l) = l**2 + 1. Let g be v(2). Suppose -g = -5*u + 10. Suppose -2*i = -n - 15 - 2, -2*i = 3*n + u. Are i and 2 unequal?
True
Let c = 533 + -535. Which is smaller: 9/11 or c?
c
Let d(c) = -c. Let s(q) = -2*q - 4 - q + q + q. Let g(o) = -2*d(o) + s(o). Let n be g(3). Do 1/4 and n have different values?
True
Suppose 490 = -u + 15*u. Let s = u + 6. Does s = 43?
False
Let s = -6.161 - -0.141. Let k = 0.6 + -6.6. Let n = k - s. Which is bigger: -2 or n?
n
Suppose 2*c - 16 = 2*b - 5*b, -2 = -3*b + 5*c. Let i be (-3)/(-6) + (-1)/b. Do 1.8 and i have different values?
True
Let n be -2 + 32/34 - -1. Let o(q) = 3*q**2 - 2*q - q**3 + 2 - 2*q**2 - 3*q + 3*q. Let p be o(1). Is n greater than p?
False
Let w = 444/35 - 2/105. Do 13 and w have the same value?
False
Let b = 11/5 - 19/45. Is 3 > b?
True
Let w = -11 + 11. Let l be (-5)/((-15)/18) + w. Let d = -2 + l. Is d smaller than 3?
False
Let l(i) = i**2 - 6*i + 9. Suppose 2 = -2*r - 3*q - 3, 3*r = -2*q + 5. Let y be l(r). Let o be (-10 - -10) + y/(-5). Are o and -3/2 nonequal?
True
Suppose -r - 2*q - 15 = -4*r, r = -5*q - 12. Suppose r*x - 23 = 43. Are x and 22 unequal?
False
Suppose -11*f = q - 12*f + 8, -3*q - 32 = -f. Is q <= 6?
True
Let k(m) = -m**3 - m**2 - 1. Let r be k(-2). Suppose -r*p = -6*p. Suppose p = -g - 1. Is 2 greater than or equal to g?
True
Let n be 20/(-50) + (-6)/10 - -5. Which is greater: 32/7 or n?
32/7
Let x = -15 + 14. Let k be (-3)/(-15) - (x - 268/(-140)). Which is smaller: -1 or k?
-1
Suppose -2*t - 7 - 5 = 0. Let g = t + 13. Let l = 12 - 6. Is g <= l?
False
Let k = -620 + 591. Is k at least as big as -49?
True
Let w(f) = 13277*f**2 - 13282*f**2 - f**3 - 3 - 7 + 4*f. Let o be w(-6). Which is smaller: o or -8?
-8
Let b = -1131/3349 + -3/197. Suppose -6*h - 12 + 18 = 0. Is h equal to b?
False
Let m(l) = -9*l**3 + 3*l**2 + l - 2. Let p be m(-2). Let z be p/156 + 2/13. Suppose 4*c = 2*n, 0 = 6*n - n. Which is greater: z or c?
z
Suppose -3 = -i + 5. Let o(k) = -i*k**2 + 2*k**3 - 2*k**3 + k**3 - 2 + 8*k + 0*k. Let q be o(7). Is 5 greater than q?
False
Let l = -1752906 + 3066462. Let n = l - 899785596/685. Let s = 2/137 + n. Which is greater: -4 or s?
s
Let w = 16313/15 - 1088. Is w greater than or equal to 1?
False
Let s(x) = 2*x**3 - 3*x**2 + 2*x + 1. Let m be s(2). Suppose -4*h = -h - m. Suppose n = 5*t + h, 0 = t - 4*n + 3*n + 3. Is -2/29 equal to t?
False
Suppose 5*w - 22 + 122 = 0. Which is greater: w or -21?
w
Let m(f) = f**3 + 11*f**2 - 14*f - 18. Let s be m(-12). Let o = s - 9. Let u be 63/(-154)*(2 + (0 - -2)). Does o = u?
False
Let z be 2/1*(6 + 5 + 326). Which is smaller: z or 672?
672
Suppose 4*b - 5 = -g, b + 2*g - 5 = 3*g. Suppose 0 = 3*q - b*h + 4*h + 314, -498 = 5*q - 3*h. Is -102 >= q?
True
Let g(k) = -11*k - 98. Let n be g(-11). Which is greater: 31 or n?
31
Let m = 4727/15 + -5731/30. Suppose 4*z = 2*o - 492, -o = -0*o + 2. Let c = m + z. Which is bigger: 1 or c?
1
Let u be 7 + (-2 - -1)*21. Is -15 at least u?
False
Suppose -659*x = -666*x. Do x and 133 have different values?
True
Suppose -7*o + 3 = -4*o. Suppose -4*a = 5*x - 13, -2*a + o = -5*x + 2. Suppose x = -s - 10. Which is smaller: s or -10?
s
Let m be -1*(1/(-1) + 0). Let z be (-705)/(-225) + m*-3. Let r = -0.2 - -0.2. Is r greater than or equal to z?
False
Let k = -569 + 567.815. Let a = k - -0.085. Is -0.1 less than a?
False
Let d = -62 - -193/3. Suppose 0 = -52*b + 49 + 107. Which is smaller: b or d?
d
Let j be 4771/2860 + (-16)/10. Which is smaller: 0 or j?
0
Let l = 801 - 8796/11. Let x be 0*(2 + 15/(-5)). Which is smaller: x or l?
x
Suppose 2*d + 128 + 0 = 0. Let f be d/(-10) - (-2 - -6). Is 3 less than or equal to f?
False
Let v(n) = -5*n - 139 + 139. Suppose 0*k - 5 = -5*k. Let d be v(k). Which is smaller: d or -6?
-6
Let y be (1 + 1 + 0)/(-4). Let k = 12 + -20. Is k > y?
False
Suppose -12 = 2*q - 2*g, -3*q = -5*g + 16 - 0. Suppose 6*v = 2*v. Suppose -3*d + 7 - 37 = v. Which is bigger: d or q?
q
Let d = -10 - -7. Let j be (d/(-63))/(5/30). Which is bigger: j or -1?
j
Let i be 146/4 + ((-3)/(-6))/(-1). Does 35 = i?
False
Let q be (-2 - -3)*(-3 - -4). Let z be q + 12/8*-1. Is z < 0.05?
True
Let f be -2 - (2 + 1 + -33). Let k be 2528/79 - (2 + (2 - 0)). Do f and k have the same value?
True
Suppose 54 = x - 0*c + 3*c, -c = 0. Which is bigger: 387/7 or x?
387/7
Suppose 30*l - 34*l + 16 = 0. Let i be -51*(l + 0 + -5). Are 51 and i nonequal?
False
Let h = 0.121 - -92.879. Let x = h - 93. Is x bigger than 4/33?
False
Suppose -3*z = z - 20. Suppose -v + h = 2, 4 = z*v + 3*h + 6. Which is smaller: v or -1/5?
v
Let g be (-4)/16 + (-47)/4. Let y be (-355)/(-175) + g/28. Which is smaller: 3 or y?
y
Let n = -32.069 + 0.069. Let p = n - -33. Which is greater: 30 or p?
30
L
|
{
"pile_set_name": "DM Mathematics"
}
|
- 112. What is the units digit of a?
5
Suppose 6*s = 8*s - 1720. Suppose 69*z - 64*z = s. What is the hundreds digit of z?
1
Let f be (-74802)/54 - (35/45 + -1). Let i = f + 3110. What is the tens digit of i?
2
Let y = -18 - -201. Let i = 408 - y. What is the units digit of i?
5
Suppose -84*m = -77*m - 7791. Let t = 2924 - m. What is the hundreds digit of t?
8
Suppose -4715102 + 3535745 = -100*r + 7304143. What is the tens digit of r?
3
Let p(d) = 4*d**2 - 47*d + 38. Let t be p(25). Let z = -790 + t. What is the tens digit of z?
7
Let i(l) = -49*l**2 + 12*l + 14. Let z be i(-4). Let p = z - -1153. What is the hundreds digit of p?
3
What is the thousands digit of (-150561548)/(-3048) + (-2)/(-12)?
9
Let p = 218 - 223. Let r(a) = 5*a**2 - 6*a - 2. What is the units digit of r(p)?
3
Suppose 26*l - 27 = 17*l. Suppose 854 = l*s + y, 9*y = 2*s + 8*y - 566. What is the tens digit of s?
8
Suppose -3*b - 114 = -2*b - 3*a, -a - 417 = 4*b. What is the hundreds digit of (-1)/5 - 36351/b?
3
Let n = 1304 - 479. Suppose w = 4*f + 203, -4*w + 4*f = f - n. What is the tens digit of w?
0
Let q(s) = s**2 - 2*s - 13. Let w be q(6). Suppose 0 = c + 2*o + 1, 2*o + w = -2*c + o. What is the units digit of 179/5 + c/(-35)?
6
Let v = -9070 - -18657. What is the hundreds digit of v?
5
Suppose b - 96 = -5*i, i + 211 = 2*b + 41. Let k = -175 + b. Let h = k + 291. What is the tens digit of h?
0
What is the tens digit of 8 - -19674 - (-18 + -1)?
0
What is the thousands digit of -60 + 60 + (-28017)/(-3) - (-5)/1?
9
What is the thousands digit of 5 - -6443 - (-259)/(-37)?
6
Suppose -10 = -2*v, 0 = -3*q + 5*v - 3*v + 500. Suppose 188*u = q*u + 18108. What is the units digit of u?
6
Suppose 4*q + 2*n + 6 = -n, 8 = 4*n. Let m be ((-6)/(-4))/(454/152 + q). Let z = -40 - m. What is the units digit of z?
4
Suppose 7*y - 1098 = 239. Let v = -85 + y. What is the tens digit of v?
0
Let s = -426 + 91. Let z = s + 455. What is the hundreds digit of z?
1
Suppose 0 = 2*k + 3*w - 2554, 4*k - 5942 = -3*w - 840. Suppose -z - 6*z = -k. What is the hundreds digit of z?
1
Suppose 1418565 = 241*d - 190*d. What is the units digit of d?
5
Suppose 5*i + f = 1227, 17*i - 12*i + 4*f - 1233 = 0. What is the units digit of i?
5
Let b be ((-2)/(-4))/((-4)/8) - -3. Suppose -5*q + s = b*s, -s = q. Suppose q = 10*f - 15 - 125. What is the tens digit of f?
1
Suppose -r = -4*n - 25326, -600*r = -602*r + 2*n + 50658. What is the tens digit of r?
3
Let z = -53 - -57. Suppose -f - 3*d + 35 = 0, z*f = 5*d - 17 + 106. What is the tens digit of f?
2
Suppose -145*b = -148*b + 78. Suppose 0 = b*g - 992 - 4858. What is the tens digit of g?
2
Let s(a) = -1547*a + 83. Let d be s(-8). Suppose 22*q - d - 6307 = 0. What is the tens digit of q?
5
Let k(z) = -z**2 - 266*z - 1036. What is the units digit of k(-70)?
4
Let z(p) = -p**3 + 7*p**2 + 5*p - 5. Let j be z(6). Suppose 3*y + j = -95. Let n = -23 - y. What is the units digit of n?
9
Let m(u) = 2*u**2 + 18*u + 9. Let t be m(-9). Let o(w) = 2*w**2 - 15*w + 21. Let q be o(t). Let k = -23 + q. What is the units digit of k?
5
Suppose 4*p + 3*k = 15944, -2*p - 4*k = -2050 - 5922. What is the thousands digit of p?
3
Suppose 0 = -l + 2*t + 3*t - 1548, 0 = 4*l + t + 6108. Let u = -191 + 179. What is the units digit of l/(-6) - (-8)/u?
4
Let t(r) = -397*r + 27. Let c be t(-3). Suppose -6*w + c = -2088. What is the units digit of w?
1
Suppose -4*y - 2008 - 3096 = -5*k, k - 2*y - 1016 = 0. Let t = 1749 - k. What is the units digit of t?
5
Let i(h) = -65*h - 5*h**2 + 67*h - 36 + 6*h**2. What is the tens digit of i(16)?
5
Suppose 37*s - 5462 = 36*s + 5*k, 5*s + 5*k = 27250. Suppose -s = 11*p - 19697. What is the thousands digit of p?
1
Let w be (-2)/(-8) + 49/28. Suppose 0 = w*c - 3*c + 961. What is the tens digit of c?
6
Let p be 214*2/5*10/4. Suppose 5264 = 10*y + p. What is the hundreds digit of y?
5
Suppose -3*m + 29 = -5*n - 95, 3*m - 126 = 3*n. Suppose -m*x - 3140 = -47*x. What is the hundreds digit of x?
7
Let a = -10945 + 15352. What is the tens digit of a?
0
Let r(y) = 375*y - 97. Let d(m) = -188*m + 50. Let p(u) = 5*d(u) + 2*r(u). What is the units digit of p(-4)?
6
Let z be (-12)/9*21*(-2)/(-4). Let r be 4*1 + (z - -7). What is the tens digit of 31/((r + 4)/1)?
3
Let y(z) = 221*z**2 - z. Let l be y(2). Suppose -4*q + 1738 = -f, 2*q + f + 16 - l = 0. What is the units digit of q?
4
Let t(y) = 386*y + 1741. What is the thousands digit of t(0)?
1
Suppose -261*r = -314*r + 383084. What is the tens digit of r?
2
Let q(i) = 3*i**2 - 8*i - 9. Let r be q(-6). Let d = 152 - r. Suppose 14 = k + d*p - 55, 3*k - 225 = 3*p. What is the units digit of k?
4
Suppose -5*o + 98636 = -5*x + 21001, 4*o + 2*x - 62090 = 0. What is the hundreds digit of o?
5
Let m be (2 + -1)/((-4)/(-12)). Suppose 0 = -m*p + 293 + 280. What is the hundreds digit of p?
1
Suppose -7*t - 2018 + 13134 = 0. What is the units digit of (-3 - t/(-22)) + (-12)/66?
9
Let x(b) = -128*b**2 - b. Let f(n) = 64*n**2 + n. Let o(d) = -5*f(d) - 2*x(d). Let r be o(-2). Let m = 499 + r. What is the tens digit of m?
4
Let z(u) = -u**2 - u - 15. Let f be z(0). Let o(l) = l**3 + 6*l**2 - 15*l - 66. Let p be o(-7). What is the units digit of 6*(p/f + 1)?
0
Suppose -29*j + 1436056 = -1325235 + 730073. What is the hundreds digit of j?
0
Suppose 100*x = 58*x + 323316. What is the thousands digit of x?
7
Let n be (-4)/72*-2019 + 1/(-6). Suppose -t = -2*j + n - 502, 2*t + 5*j = 816. What is the units digit of t?
8
Let p = 2194 + -1862. Let q(b) = -b**2 - b. Let t be q(-1). Suppose -4*o = 3*d - p - 346, 4*o = t. What is the tens digit of d?
2
Let v(l) = 2201*l - 744. What is the hundreds digit of v(4)?
0
What is the thousands digit of 2/11*11*4 + -2 + 72286?
2
Let s = 39980 + -21406. What is the units digit of s?
4
What is the tens digit of (20 - (-3)/3)*(2406 + -14 - 10)?
2
Let y = -10 - -10. Let h be (y/(-3) - -6)*(-4)/(-3). What is the hundreds digit of (4/(-6))/(h/(-1404))?
1
Let q be (-528)/22*1/2. What is the tens digit of (636 - -1)/((18/q)/(-3))?
7
Suppose w + 3660 - 10083 = 15748. What is the ten thousands digit of w?
2
Let c = 207 + -208. What is the hundreds digit of (1120 - -6)/(1 - c)?
5
Let d(i) = -i**3 - 11*i**2 + 12*i + 63. Let h(s) = 4*s**2 + 35*s + 11. Let f be h(-8). What is the hundreds digit of d(f)?
2
Let z be 0 + -131 + (-6)/3. What is the units digit of 164/14 - 38/z?
2
Let x(k) = -k**3 + 18*k**2 - 21*k + 14. Let a be 17/5 + (-3)/(-5) + 10. What is the hundreds digit of x(a)?
5
Suppose 0 = -l - 5*d - 191, -d = -11*l + 16*l + 955. Let v = l - -326. What is the tens digit of v?
3
Suppose -2304966 = -252*a + 8898. What is the thousands digit of a?
9
Let p(z) = 6*z + 175 + 9*z**2 + 19*z - 170. What is the units digit of p(-8)?
1
Suppose -315 = -2*s - s. Let w(y) = -20 + 210*y**2 + 4*y - s*y**2 - 104*y**2. What is the units digit of w(-7)?
1
Suppose -d - 6 = 5*c, 3*c - 4 = -1. Let w be -1*1 - ((-7 - d) + -4). Let v(f) = -132*f**3 + f**2 + 3*f + 1. What is the units digit of v(w)?
1
Suppose 2*n - 5*n + 6 = 0. Suppose -r + 841 = 5*d, 4*r - 3*d = n*d + 3339. What is the units digit of r?
6
What is the tens digit of (-13320)/(-18)*82/8?
8
Let k(b) = -6*b**3 - 421*b**2 + 35*b - 103. What is the tens digit of k(-72)?
0
Suppose -5*g + 31 + 14 = 0. Let r(y) = -y**2 + 12*y - 25. Let h be r(g). What is the units digit of (-33)/(-33) + h*2?
5
Let m = -518 - -520. Suppose m*x = 6, -4*x - 235 = -g + 27. What is the units digit of g?
4
Let w(d) = d**2 + 17*d + 94. Let b be (7 - (-5 - -11))*-5. What is the units digit of w(b)?
4
Let l(g) = 3*g**2 + 3. Let a(y) = y**3 + 7*y**2 + 9*y - 8. Let w be (-35)/(-14)*(0 + -2). Let f be a(w). What is the tens digit of l(f)?
3
Suppose 4*q + 16 = t, -3*q = -6*q - 3*t - 12. Let n be (q + 22/6)*-135. Suppose -3*o + 198 + n = 0. What is the units digit of o?
1
Suppose 6 = m + 6. Let k(x) = -2*x**3 + x**2 - 10*x. Let z be k(-7). Suppose m = 3*a + 4*a - z. What is the hundreds digit of a?
1
Suppose -2*r - 54 = -3*k + 3*r, -3*k = 4*r - 54. Suppose -15*q - 48 = -k*q. Let g = q + 32. What is the units digit of g?
8
Suppose 0 = -3*r - 5*a + 6366, 5*r = 3*r - a + 4244. Suppose 5*x + 2*z = r, 2*x + 3*z + 845 = 4*x. What is the hundreds digit of x?
4
Suppose -4*t - 132 = -124. What is the tens digit of (
|
{
"pile_set_name": "DM Mathematics"
}
|
of 2407*m**3/3 + 6320. Determine z(l(t)).
-11587298*t**4
Let d(t) = 2*t. Let m be (-40)/(-19) - 28/266. Let n(l) = 1125*l**2 - m*l + 2*l - 1340*l**2. Calculate n(d(u)).
-860*u**2
Let d(q) = 16*q - 1. Let f(g) = -156*g**2 + g - 83. Give d(f(x)).
-2496*x**2 + 16*x - 1329
Let z(p) = 2600*p**2 + 250*p - 125. Let d(y) = -250*y**2 - 24*y + 12. Let c(g) = -125*d(g) - 12*z(g). Let u(x) = -x**2. What is c(u(l))?
50*l**4
Let f(o) = 99*o + 10 + 9 - 2*o**2 - 99*o. Let p(v) = -61*v**2 - 6*v + 6. Let l(j) = 172*j**2 + 17*j - 17. Let s(c) = 6*l(c) + 17*p(c). What is f(s(m))?
-50*m**4 + 19
Let f(d) = -44*d. Let l = 127 + -203. Let s = -63 - l. Let n(b) = 6*b**2 + 5*b**2 - s*b**2. What is n(f(g))?
-3872*g**2
Let l(k) = 1778*k**2. Let u(r) = -r - 2237. Calculate u(l(a)).
-1778*a**2 - 2237
Let m(p) = 494*p**2 + 417*p**2 - 906*p**2. Let k(b) = -5*b**2 - b**2 - 3*b**2. Determine m(k(y)).
405*y**4
Let x = -51 + 51. Let o be 2 + 1 - x - 2. Let g(z) = 5*z. Let j(w) = -w. Let s(a) = o*g(a) - 4*j(a). Let h(r) = -3*r**2. Determine s(h(n)).
-27*n**2
Let y(j) = 2*j. Let s be 8/(-4)*((-57)/6 + 2). Let f(z) = -s - 2*z - 14 + 11*z + 37. Determine y(f(i)).
18*i + 16
Let z(o) = 2. Let v(f) = 2*f - 25. Let c(h) = -v(h) - z(h). Let i(l) be the first derivative of -l**3 + 118. Give c(i(u)).
6*u**2 + 23
Let g(u) = -3*u. Let r(m) = 49094428*m**2. Give g(r(q)).
-147283284*q**2
Let b(j) = 22*j**2 + 3. Let o(i) = 1315*i + 1321*i + 1319*i + 1326*i - 5279*i. What is b(o(k))?
88*k**2 + 3
Let m(c) = 28*c**2. Let z(p) be the first derivative of -11*p**3/3 + 1435. What is m(z(g))?
3388*g**4
Let v(f) = -2967*f. Let q(c) = -438*c**2. Determine q(v(i)).
-3855752982*i**2
Let y(o) = 505*o**2. Let p(m) = 15*m - 8. Let s(b) = 4*b - 2. Let r(n) = -3*p(n) + 12*s(n). Determine y(r(j)).
4545*j**2
Let x(v) = 38*v**2. Let n(u) = -89*u**2 - 57 - 56 + 146 - 34. Give x(n(l)).
300998*l**4 + 6764*l**2 + 38
Let f(z) be the first derivative of 73*z**2 + 3472. Let w(x) = 6*x**2. Determine f(w(g)).
876*g**2
Let w(c) = 706*c**2 - 9*c - 17. Let o(d) = 7*d**2. Give w(o(i)).
34594*i**4 - 63*i**2 - 17
Let t(k) = -15*k - 2. Let g(x) = 72*x + 10. Let h(v) = g(v) + 5*t(v). Let o(r) = 379*r. Give o(h(m)).
-1137*m
Let n(l) = -9*l. Let r(x) be the first derivative of x**4/6 - 52*x + 15. Let q(b) be the first derivative of r(b). Determine q(n(g)).
162*g**2
Let x(m) = 63*m**2. Let j(l) be the third derivative of 0*l**3 + 0*l + 0 - 5/24*l**4 - 93*l**2. Give x(j(g)).
1575*g**2
Let u(a) = 2*a**2 + 6*a. Let p(h) = 1. Let r(q) = q + 7. Let s(d) = 28*p(d) - 4*r(d). Calculate s(u(t)).
-8*t**2 - 24*t
Let b(i) = -5*i**2 - 2628493. Let u(o) = 9*o. What is b(u(r))?
-405*r**2 - 2628493
Let w(u) = u**2 - 2*u**2 + 0*u**2. Let d(f) = -31*f + 6. Let h = 331 - 334. Let k(l) = -310*l + 62. Let z(m) = h*k(m) + 31*d(m). What is w(z(j))?
-961*j**2
Let c = 17 - 15. Let b(g) = -9*g**c - 22*g**2 + 36*g**2. Let f(u) = 7*u. Give f(b(m)).
35*m**2
Let g(f) = -137*f + 3. Let c(d) = -d - 33. Let m(x) = 9*x + 99. Let o(b) = 3*c(b) + m(b). Calculate o(g(h)).
-822*h + 18
Let c = 5 - 3. Let g(b) = c*b - 3*b - b. Let x(o) be the third derivative of o**4/3 - o**2 - 16489. Give g(x(q)).
-16*q
Let a(q) be the first derivative of -q**3 + 23315. Let n(j) = j**2 - j. Let g(f) = -2*f**2 + 3*f. Let c(d) = g(d) + 3*n(d). Give a(c(w)).
-3*w**4
Let a(c) = 18*c**2. Let i(l) = 48798*l**2 + 35*l. What is i(a(f))?
15810552*f**4 + 630*f**2
Let k(f) = 2. Let x(h) = -14 + 19 + 3*h - 5 - 6. Let i(d) = 3*k(d) + x(d). Let q(t) = -t**2. Calculate q(i(w)).
-9*w**2
Let y(t) be the third derivative of 2*t**5/15 - 2*t**2. Let b(g) be the second derivative of -58*g + 0 + 0*g**2 - 1/6*g**3. Give b(y(w)).
-8*w**2
Let j(q) = -6*q - 5. Let o(k) = 5*k + 4. Let m(u) = -4*j(u) - 5*o(u). Let l(z) be the third derivative of z**4/12 + 3*z**3 + 3*z**2 - z - 1. Calculate l(m(f)).
-2*f + 18
Let d(f) = 231*f**2. Let p(g) = 13*g - 155. Let u(y) = -6*y + 62. Let a(i) = -2*p(i) - 5*u(i). What is d(a(v))?
3696*v**2
Let f(w) = -10*w. Let a(q) = 91*q. Suppose 36*g - 15 = 41*g. Let y(l) = g*a(l) - 26*f(l). Let c(j) = -6*j. Determine c(y(z)).
78*z
Let d(c) = 0*c - 58 - 16*c**2 + 126 - 6*c**2 - 3*c - 64. Let w(b) = 43*b**2 + 6*b - 7. Let g(o) = -7*d(o) - 4*w(o). Let m(x) = -3*x**2. Determine g(m(p)).
-162*p**4 + 9*p**2
Let n(c) = -34*c. Let v(g) = 3784674*g**2. Determine n(v(l)).
-128678916*l**2
Let l(v) = -2*v. Let h(p) = 6889955*p + 5. Calculate h(l(t)).
-13779910*t + 5
Let h(s) = 2*s**2 - 5*s + 1. Let w(x) = 45*x**2 - 30*x + 6. Let b(u) = 6*h(u) - w(u). Let o(c) = -6*c**2 + 1. What is o(b(n))?
-6534*n**4 + 1
Let m(s) be the second derivative of s**3/3 + 2542*s. Let g(b) = -11*b - 5. Calculate m(g(w)).
-22*w - 10
Let y(l) = -8*l - 5. Let x(k) = -k - 1. Let o(s) = 5*x(s) - y(s). Let i(r) = 224*r. Let v(n) = 13*n. Let d(c) = 2*i(c) - 36*v(c). What is o(d(u))?
-60*u
Let k(v) = -2*v**2. Let n(b) = -5 + 41*b - 107*b + 1 + 2*b. What is n(k(l))?
128*l**2 - 4
Let d(y) be the third derivative of 0 - y**2 + 0*y**4 + 0*y**3 + 1/12*y**5 + 0*y. Let k(i) = 96 - 34 - 28 + 7*i - 34. Give k(d(h)).
35*h**2
Suppose -3*w + 0 + 24 = 0. Suppose 5*i = -2*p + 14, -w*i + 3*i = -10. Let z(c) = -c + 2*c**p + 4*c - 3*c. Let v(m) = -4*m**2. Calculate z(v(o)).
32*o**4
Let h(f) = -9*f. Let v(r) = 169547*r + 2285. Let t(j) = 297*j + 4. Let x(l) = 2285*t(l) - 4*v(l). Give h(x(p)).
-4113*p
Let l(j) = -67*j - 7. Let w(q) = -53*q - 6. Let h(f) = 8*l(f) - 10*w(f). Let x(o) = o + 4*o - 3*o. What is x(h(v))?
-12*v + 8
Let r(q) be the second derivative of -401*q**4/6 + 348*q + 4. Let n(y) = -y**2. Calculate r(n(s)).
-802*s**4
Let d(y) = 845*y. Let t(i) = -2114*i. Let c(o) = 20*d(o) + 8*t(o). Let n(u) be the third derivative of -u**4/6 - u**2. What is c(n(g))?
48*g
Let s(x) = -19*x - 15. Let z(l) = -l + 2. Let a(g) = s(g) + 6*z(g). Let t(d) = -49*d - 7. Let r(b) = 5*a(b) - 2*t(b). Let u(o) = 10*o. What is u(r(f))?
-270*f - 10
Let p(i) = -i**2. Let y(m) be the third derivative of 61*m**4/12 - 2*m**3 + 459*m**2 + 2. What is p(y(f))?
-14884*f**2 + 2928*f - 144
Let n(c) = -1312850*c**2. Let z(s) = 5*s. What is n(z(g))?
-32821250*g**2
Let i(h) = 16*h**2 - 7*h - 7. Let w(b) = -14*b**2 + 6*b + 6. Let o(s) = 6*i(s) + 7*w(s). Let a(l) = -238*l. Determine o(a(n)).
-113288*n**2
Let h(w) = 2*w. Let j(f) = -1336372158*f**2. What is h(j(x))?
-2672744316*x**2
Let d(i) = 1785*i**2. Let v(g) = -5558*g. Determine d(v(w)).
55141084740*w**2
Let o(t) = -1304248*t**2 + t + 2. Let p(a) = a - 5. What is p(o(n))?
-1304248*n**2 + n - 3
Let d(y) = -6 + 2*y**2 - 481*y - 429*y + 910*y. Let l(p) = -17*p**2. Calculate l(d(f)).
-68*f**4 + 408*f**2 - 612
Let v(u) = 2274 - 1133 - 1141 - 37*u**2. Let t(k) = 43*k - 2. What is t(v(j))?
-1591*j**2 - 2
Let p(f) = f + 12. Let t = 109 + -104. Let o(z) = -26*z**2 + 11*z**2 + 8*z**2 + t*z**2. Give p(o(n)).
-2*n**2 + 12
Suppose -593 = -9*h + 1558. Let k(z) = 234*z - h*z + 13 - 13. Let c(m) = 4*m**2 - 2*m**2 - m**2. Give c(k(g)).
25*g**2
Let q(k) = -3*k. Let i(d) = -3789*d**2 - 10*d + 1. Calculate i(q(h)).
-34101*h**2 + 30*h + 1
Let o(g) = -g. Let j(n) be the third derivative of 3007*n**4/6 - n**2 + 587*n. Determine o(j(b)).
-12028*b
Let o(y) = -2*y**2 + 542*y + 4. Let w(f) = 106*f - 4. Determine w(o(d)).
-212*d**2 + 57452*d + 420
Let b(l) = 17 + l + 0 + 19. Let a be b(9). Let k(p) = 3*p**2 + 45 - a. Let z(x) = -19*x. Determine k(z(c)).
1083*c**2
Let c(z) = -4160*z. Let h(r) = 483*r**2. What is c(h(s))?
-2009280*s**2
Let i(k) = -7*k - 1. Let v(t) = -26*t - 6. Let m(h) = 4*i(h) - v(h). Let g(d) = 11*d**2. What is g(m(s))?
44*s**2 - 88*s + 44
Let o(k) = 605*k - 1202*k + 599*k. Let c(l) = 16252*l**2. Calculate c(o(r)).
65008*r**2
Let f(a) = 99*a**2. Let u(h) be the first derivative of 5*h**3/3 + 1008. What is u(f(b))?
49005*b**4
Let w(a) = 3*a. Let g(c) be the first derivative of 17*c**4/3 - c**3/3 - 265*c - 211. Let k(y) be the first derivative of g(y). Calculate w(k(t)).
204*t**2 - 6*t
Let p(j) = -2 + j - 6*j - j. Let r(s) = -28*s**2 - 5. Let y(k) = 39*k**2 + 7. Let a(c) = 7*r(c) + 5*y(c). Determine p(a(o)).
6*o**2 - 2
Let b(h) = -3 - 4138*h + 8130*h - 4344*h. Let f(m) = -2*m**2. Calculate f(b(a)).
-247808*a**2 - 4224*a - 18
Let h(b) = b. Let f(a) = a + 685977553. Determine f(h(v)).
v + 685977553
Let b(y) be the third derivative of 667
|
{
"pile_set_name": "DM Mathematics"
}
|
*(3 + 1 - 3)).
56*k**3
Expand (0 - 3 + 5)*(-9 + 9 - 2*d)*(4*d + 0*d - 2*d).
-8*d**2
Expand -6*s + 53*s + s + 2 + 2*s - 2 + 0 + 0 + 2*s + (1 + 4 - 7)*(0 + 0 - 2*s).
56*s
Expand 10*r**2 + 22 - 22 + r**2 - r**2 + 2*r**2 + (r - 3*r + r)*(-3*r + 2*r - r) - 2 + 2 + 2*r**2 + 2*r**2 - r**2 - 3*r**2 + 0*r**2 - 3*r**2 + 5*r**2.
16*r**2
Expand (2*i + 4*i - i)*(-5*i**3 + 3*i**3 + 3*i**3).
5*i**4
Expand (0*l + 3*l - 2*l)*(l**2 + 7*l - 7*l) - 4*l**3 + 6*l**3 - l**3 + (4*l - l - 4*l)*(l**2 + l**2 - l**2).
l**3
Expand (-2*c**3 + 2*c**3 - 2*c**4)*(-c - 2*c + 4*c) + 0*c**5 - c**5 - c**5 + (-2*c**5 - 2*c**5 + 5*c**5)*(4 - 2 - 4) - 2 + 2 + 5*c**5.
-c**5
Expand (3*x - 3*x + 2*x**2 + 3*x)*(x**2 + x**2 + 11*x**2).
26*x**4 + 39*x**3
Expand (-5*u**2 + 12*u - 12*u)*(-u - 2 + 4 - 4)*(0*u + 0*u + 2*u**2).
10*u**5 + 20*u**4
Expand (5 + 2 - 2)*(r - 5*r + 2*r)*(5 - 4 - 3).
20*r
Expand (-20*r - 45*r**3 + 20*r)*(r - 2*r + 3*r).
-90*r**4
Expand (5*v**3 - 3*v**3 + 10*v**2 - 20*v + 19*v)*(-2*v + 0*v + 3*v + (-3*v - v + 2*v)*(0 - 4 + 2)).
10*v**4 + 50*v**3 - 5*v**2
Expand (0 + 4 - 2)*(-f + f + 6*f)*(5*f**2 + f**2 - 4*f**2)*(-5*f**2 + f**2 + 5*f**2).
24*f**5
Expand (1 - 1 - q)*(1 - 1 + 1)*(3*q - 6*q + 2*q)*(3 + 3 - 3).
3*q**2
Expand (-2*u**4 + 10*u**4 - u**4)*(4 + 0 - 2) + (4*u + 2*u - 4*u)*(-2*u**3 + 0*u**2 + 0*u**2) - 2*u**4 + 4*u**4 - u**4 - 2*u**4 - 1 + 1.
9*u**4
Expand (-2*z + 2 - 2)*(2*z**2 - 5*z**2 - z**2 - z**2 + z**2 - 3*z**2 + z**2 + 3*z**2 - 5*z**2 + (5 - 1 - 6)*(-z**2 - 3 + 3)).
12*z**3
Expand (n**2 + 5 - 5)*(3*n**3 + n**3 - 3*n**3).
n**5
Expand (-n + 7*n + 0*n)*(-3*n + 3*n + n**3) - 5 + 5 + 3*n**4.
9*n**4
Expand (28 - 26 - 7*h**2 - 2*h**2)*(1 + 2*h - 1).
-18*h**3 + 4*h
Expand -8*r**3 + 0*r + 0*r + (-2*r - r + 5*r)*(0*r**2 + r**2 + r**2) - 2*r**3 + 2*r**3 - 2*r**3.
-6*r**3
Expand (-12 - 22 + 7)*(h + 2*h - 2*h).
-27*h
Expand (-4*z**2 - z**2 + 4*z**2 - 4)*(-6*z**2 - z**2 + 0*z**2).
7*z**4 + 28*z**2
Expand (-2*j**2 + 3*j - 3*j)*(j + 7*j - 3*j) + (-2*j**2 + 5*j**2 - j**2)*(4*j - 4*j - 2*j) + 4 - 2*j**3 - 4.
-16*j**3
Expand -3 - u + 3 + (u - u - 2*u)*(-1 - 1 + 1).
u
Expand (0*k**4 - 5*k**4 + 3*k**4)*(0 + 2 - 1) + (k**2 - 3*k**2 + 3*k**2)*(-5*k**2 + 0*k**2 + 4*k**2).
-3*k**4
Expand (3*f - 3*f - 2*f)*(-f - 3*f + f).
6*f**2
Expand (2*o + 0*o - o + (-o + 3 - 3)*(2 - 5 + 1) - o - 2*o + 5*o)*(-2*o**2 + o**2 - o**2) + 5*o**2 - 2*o**3 - 5*o**2.
-12*o**3
Expand (r**4 - 1 + 1)*(29*r + r - 4*r).
26*r**5
Expand (0*b**2 + 2*b**2 - 3*b**2)*(-b**2 + b**2 - b**2 + (-2*b**2 - 3*b**2 + 3*b**2)*(3 - 6 - 4)).
-13*b**4
Expand ((0 + 3 - 2)*(-3 + 1 + 3) - 5 + 5 + 1)*(-6 + 6 + 2*q**5).
4*q**5
Expand (-4*z**2 + 0*z**2 + 5*z**2)*(2*z**2 + 2*z**2 + 0*z**2)*(10*z + 12*z + 25 - 27).
88*z**5 - 8*z**4
Expand -4*g - 2 + 2 + 2*g - 3*g + 2*g + (5 - 2 - 1)*(-2*g + 0*g + 4*g) + 3*g + 3*g - 5*g - 2 + 2 - g.
g
Expand ((3*d - 4*d - d)*(-3 + 2 + 3) + 0*d + 0*d - 2*d)*(1 - 6 + 14)*(-5*d + 16 - 16).
270*d**2
Expand (-j**4 + 2*j**3 - 2*j**3)*(82 - 82 + 19*j)*(-2 + 2 + 1).
-19*j**5
Expand (-1 + 33 - 14)*(2 - 5 + 1)*(-f - f + 0*f).
72*f
Expand (0*t + 0*t + 2*t**3)*(5*t + 5*t - 3*t - t).
12*t**4
Expand (2 - 2 + 1)*(0*w**5 - 2*w**5 + w**5) - 2*w - w**5 + 2*w - w**4 + 3*w**4 + 2*w**5 + w**5.
w**5 + 2*w**4
Expand (0 + 1 - 4)*(i**2 - 2*i**2 + 3*i**2)*(-2*i**2 + i - i).
12*i**4
Expand (2 - 3 + 0)*(-3*h**2 + 2*h - 2*h) + 29 + h**2 + 35 + 2*h - 63.
4*h**2 + 2*h + 1
Expand (-1 + 1 - 2*a**3)*(1 + 2 - 5)*(5*a**2 - a**2 - 3*a**2).
4*a**5
Expand (-2*d + 2*d + 2*d)*(-2*d**3 - 2*d**3 + 3*d**3) + (0*d**2 + 2*d**2 - 6*d**2)*(-d**2 - 3 + 3).
2*d**4
Expand 3*h**5 - 2*h**4 + 2*h**4 + (-1 - h**4 + 1)*(22*h + 2*h - 8*h).
-13*h**5
Expand (-24*y - 5*y + 2*y)*(-y**4 + y + y - y).
27*y**5 - 27*y**2
Expand (-1 + 3 + 0)*(-2*z + 11 - 11) + (-2 + 2 + 1)*(2*z - 4*z + z) + 0 + 0 - 2*z.
-7*z
Expand 0*o**2 - o**2 - o**2 - 3 - o**2 + 3 + (-3*o - o + 3*o)*(-3*o + 4*o + 0*o) + 3*o**2 + 0*o**2 - 2*o**2 - o**2 + 2*o**2 + 0*o**2.
-2*o**2
Expand (2*w - 7*w + 3*w)*(0 - w + 0) - 3*w**2 + 3*w**2 - 4*w**2 - 4*w**2 - 3*w**2 + 5*w**2 + 3 + 2*w - w**2 - 3.
-5*w**2 + 2*w
Expand 41 - 30*o**5 - 41 + (5*o - 3*o**2 - 5*o)*(o**3 - 3*o**3 + o**3).
-27*o**5
Expand (2*j + 2*j - 3*j)*(-1 - 11 + 5 + j).
j**2 - 7*j
Expand k**4 - 3*k**4 + k**4 + (5*k + 2*k - 5*k)*(6*k**3 + 2*k**3 - 4*k**3) - k**4 + 3*k - 3*k.
6*k**4
Expand (-p - 3 + 3)*(-5*p - p - 8*p).
14*p**2
Expand (-3 + 0 + 2)*(-5*x**2 + 0*x**2 + 2*x**2) + 4*x**2 + x**2 - 3*x**2.
5*x**2
Expand (2*v**3 - 3*v**3 - v**3)*(-5 + 4 + 8 - 2*v) + v**4 - 2*v**4 - v**4.
2*v**4 - 14*v**3
Expand 2 + 2*i - 2 + (0*i + 0*i + i)*(-21 + 9 + 6).
-4*i
Expand (7*t + 12*t - 7*t)*(4*t**4 - 3*t**4 + t**4).
24*t**5
Expand (28*v - 3 + 3)*(-2 + 2 - 2*v**2).
-56*v**3
Expand (-4*v + 3*v - v)*(2*v + 0*v - 6*v)*(3 - 3 + v).
8*v**3
Expand (2*w**2 - w**2 + w**2)*(w + 0*w + 0*w)*((-2 + 3 + 2)*(-3*w + 0*w + 2*w) - 2*w - 3*w + w + w + 0 + 0).
-12*w**4
Expand 0 - v**5 + 3*v**5 - 16 + (5*v - 3*v + 0*v)*(-2*v**4 + v**3 - v**3).
-2*v**5 - 16
Expand -2*n**4 - 2*n**4 + 3*n**4 + 0*n**4 - 5*n**4 + 3*n**4 + (n**4 + n**4 - 4*n**4)*(-1 + 4 - 1) + 3*n**4 - 5*n**4 + n**4 + n**4 - 4*n + 4*n + 4 + n**4 - 4.
-6*n**4
Expand (2*p + p - p)*(13*p + 1 - 2 - 15*p).
-4*p**2 - 2*p
Expand 4*i - 4*i + 2*i + 4 - 4 - i + (-2*i + 2 - 2)*(2 + 2 - 2).
-3*i
Expand (a**4 + 0*a**4 - 2*a**4)*(a + 2*a - 2*a) + 0*a**5 + 5*a**5 - 3*a**5.
a**5
Expand (2*d - d - 2*d)*(-d**3 + 2*d + 2*d**3 + 2*d).
-d**4 - 4*d**2
Expand (-2*r**2 - r**2 + r**2)*(r**3 + r**3 + 0*r**3) + 2 - 2 + 2*r**5 + (-r + 0*r + 2*r)*(-r + r + r**4) + 29*r**2 - 29*r**2 + 8*r**5.
7*r**5
Expand (-1 + 4 - 4 + o**3)*(2 + 2 - 3)*(1 + 4 - 4).
o**3 - 1
Expand (3 + 7 + 1)*(c**3 + 3*c**3 - 5*c**3)*(-c - 4*c + 3*c).
22*c**4
Expand (3*t - t - t)*(0 - 1 + 0)*(71*t - 121*t + 69*t).
-19*t**2
Expand ((2*v**2 + v**2 - v**2)*(0 - 4 + 5) + 4*v**2 + v**2 - 4*v**2 + 7*v**2 - 2*v**2 + 3*v**2)*(-4*v**2 + 5*v**2 + 4*v**2).
55*v**4
Expand (-1 + 3 - 1)*(4 - 4 + 1)*(2*i + i - 2*i) + 2*i - i + 0*i + 2*i - 4 + 4 + (-2*i + 3 - 3)*(-1 + 3 - 3) + 4 + 2*i - 4.
8*i
Expand 0*x**5 - 5*x**5 + 2*x**5 + 6*x**5 + 3*x**5 + x**5 + 0*x**3 + 0*x**3 - x**5 + (-x**4 + x - x)*(6*x - 3*x - x).
4*x**5
Expand (-3 + 4 - 2)*((3*q - 6*q + 2*q)*(0 - 2*q + 0) - 4*q**2 + q**2 + 2*q**2 + (-4*q + 4*q + q**2)*(-2 + 2 - 2)).
q**2
Expand (-4*r**4 + 4*r**4 - 2*r**4)*(r - 2*r + 3*r) + r**3 - r**5 - r**3.
-5*r**5
Expand (-4 + 0 + 2)*(3*k - 4*k - k) - 1 + 2*k + 1 + k - 2*k + 0*k + 1 - 1 + k - k + 0*k - k + (-1 - 1 + 3)*(-1 + 1 + k) - 3*k + k + 0*k + 63*k - 21*k - 27*k.
18*k
Expand (-2*f**2 - 1 + 1 - f**2 + 2 - 2 - 2 + 2 + 2*f**2 + (-1 + 1 - f)*(-f - 3 + 3) + 5*f**2 - f**2 - 2*f**2)*(5 + 7 - 4).
16*f**2
Expand (-7*s**2 + 3*s**2 - s**2)*(2*s + 2*s - 2*s)*(s + 4 - 4).
-10*s**4
Expand (24*d**2 + 9 - 9)*(-2*d**2 + 3*d**2 + d**2).
48*d**4
Expand (-y**2 - 5*y**2 + 4*y**2)*(4 - 1 - 2)*(-y + y + 2*y).
-4*y**3
Expand (2 - 2 + 1)*(-m + 2*m**3 + 2*m**5 - 2*m**3).
2*m**5 - m
Expand (x + 0*x - 4*x)*(0*x**4 + 2*x**4 - 3*x**4) + 5*x**5 - 2*x**5 - x**5 + (-2*x + 0*x + 3*x)*(4*x**4 + x**4 - 4*x**4) - x**5 + x**5 + 4*x**5.
10*x**5
Expand -3 + 3 + v**3 + (2 + 2*v - 2)*(2*v**2 - 1 + 1) + 2 + 3*v**3 - 2 + (2 - 1 + 1)*(6*v**2 - v**3 - 2*v**2 - 10*v**2).
6*v**3 - 12*v**2
Expand 6*a + 14*a - a + 3*a - a - a + (-7 + 3 + 2)*(-2*a + 0*a + 3*a) - a - 3*a + 2*a - 4 - a + 4 + 2*a - 2*a + 2*a.
17*a
Expand (f**4 + 3*f**4 - 3*f**4)*(f - 3*f + f) + (3*f**2 + 2 - 2)*(-f**3 + 0*f**3 + 4*f**3).
8*f**5
Expand 4*q - q - 2*q + 1 - 1 + 2*q + (3*q - 3*q + q)*(-1 + 1 + 1) + (-4 + 3 + 4)*(3*q - 5*q + q)*(-5 + 3 + 1).
7*q
Expand (-1 + 1 + 1 + (-2 - 2 + 3)*(2 + 4 - 4))*(-2*o**2 - o**2 + o**2).
2*o**2
Expand (-4 + 4 + 2*c**3)*(-4*c + 3*c + 2*c) - 3*c**4 + 3*c**4 + 2*c**4 + 2*c**4 - 2*c**4 + 2*c**4 + (-c**2 - 6*c**2 + c**2)*(-1 - c**2 + 1).
12*c**4
Expand 20 - 20 + 11*g**2 + (3*g + 4*g - 4*g)*(-5*g - 2*g + 4*g) - g**2 - 4*g**2 + 4*g**2.
g**2
Expand ((-4 + h + 4)*(0 + 0 + 1) - 2*h + 5*h - 2*h)*((0 - 2*h + 0)*(4*h**3 + h**3 + 2*h**3) + 0*h**4 - 6*h**4 + 3*h**4).
-34*h**5
Expand (5*v + v - 4*v)*(-1 + 1 - 7*v + 1).
-14*v**2 + 2*v
Expand (3*t**3 - 3*t**3 - 2*t**3)*(3*t + 2 - 6*t + 2*t).
2*t**4 - 4*t**3
Expand (0*g**3 - g**3 + 3*g**3)*(-4*g**2 - g**2 + 4*g**2) + 2*g**2 + 11*g**5 - 2*g**2.
9*g**5
Expand (-7 + 8 + 21)*(-3*t**3 + 3*t**3 + 2*t - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
sequence iii when three letters picked without replacement from ivivvvi.
1/35
Two letters picked without replacement from {q: 12, o: 2, w: 2, l: 2, m: 1, r: 1}. Give prob of sequence lm.
1/190
Calculate prob of sequence as when two letters picked without replacement from dscdjscascd.
3/110
Four letters picked without replacement from {k: 1, r: 2, q: 7}. Give prob of sequence qrrk.
1/360
What is prob of sequence viil when four letters picked without replacement from vlyyiif?
1/420
Two letters picked without replacement from znnwxuwfnnnxnwu. What is prob of sequence nf?
1/35
Two letters picked without replacement from {y: 4, i: 2, h: 1, u: 1}. Give prob of sequence yh.
1/14
What is prob of sequence cis when three letters picked without replacement from {y: 2, x: 5, g: 3, i: 1, c: 2, s: 6}?
2/969
Calculate prob of sequence ief when three letters picked without replacement from {e: 2, i: 1, a: 2, j: 1, f: 2}.
1/84
Two letters picked without replacement from rxngnxygc. Give prob of sequence rc.
1/72
Two letters picked without replacement from lrs. Give prob of sequence sl.
1/6
Two letters picked without replacement from {a: 11, q: 5}. What is prob of sequence aa?
11/24
Calculate prob of sequence lrr when three letters picked without replacement from llllrrlrllr.
14/165
Three letters picked without replacement from bqqiqqbqibgaq. Give prob of sequence iba.
1/286
Three letters picked without replacement from bybyb. Give prob of sequence ybb.
1/5
Four letters picked without replacement from {x: 2, j: 3, s: 1, n: 6, w: 1}. Give prob of sequence nnjw.
3/572
Calculate prob of sequence xj when two letters picked without replacement from xjbbxxxxxxxjxxb.
2/21
Calculate prob of sequence wzw when three letters picked without replacement from {z: 2, w: 7, e: 5}.
1/26
What is prob of sequence ix when two letters picked without replacement from ddsdddxdi?
1/72
What is prob of sequence aa when two letters picked without replacement from {d: 2, a: 2, p: 1, q: 1, c: 1, y: 1}?
1/28
Calculate prob of sequence li when two letters picked without replacement from idwiwidwwdilidwd.
1/48
What is prob of sequence hmm when three letters picked without replacement from {h: 3, m: 3, g: 2}?
3/56
Calculate prob of sequence wccc when four letters picked without replacement from cwwcwccwcwcwwwwwcd.
35/1224
Four letters picked without replacement from zkiooz. What is prob of sequence izoz?
1/90
Two letters picked without replacement from {x: 3, e: 4, d: 1}. Give prob of sequence dx.
3/56
Two letters picked without replacement from gogyaygynanvyynyan. What is prob of sequence ag?
1/34
Three letters picked without replacement from {o: 7, l: 4}. Give prob of sequence olo.
28/165
Three letters picked without replacement from {q: 7, z: 2, c: 1, t: 4}. Give prob of sequence ztq.
1/39
Calculate prob of sequence ggg when three letters picked without replacement from kgafqffggfa.
1/165
Four letters picked without replacement from iaaxxrz. Give prob of sequence aria.
1/420
Two letters picked without replacement from {w: 8, s: 2, u: 4, z: 2}. What is prob of sequence uz?
1/30
Calculate prob of sequence df when two letters picked without replacement from {h: 1, f: 1, e: 1, c: 1, b: 2, d: 1}.
1/42
Three letters picked without replacement from jeeeeeeemjvvjzjeelee. Give prob of sequence ele.
11/684
Three letters picked without replacement from ftvxjfvff. Give prob of sequence xtf.
1/126
Three letters picked without replacement from sqqrar. Give prob of sequence qqr.
1/30
What is prob of sequence aadb when four letters picked without replacement from aaadaaabaldalazdaaaa?
13/3230
What is prob of sequence hhhf when four letters picked without replacement from hfffhff?
0
Four letters picked without replacement from rurilrkauirkr. Give prob of sequence kaiu.
1/2145
Two letters picked without replacement from iuultwrt. What is prob of sequence lr?
1/56
Four letters picked without replacement from aqaxffqaeof. What is prob of sequence eqox?
1/3960
What is prob of sequence ulru when four letters picked without replacement from {l: 8, r: 9, u: 2}?
1/646
What is prob of sequence nb when two letters picked without replacement from {b: 6, n: 6}?
3/11
Calculate prob of sequence rddd when four letters picked without replacement from {d: 10, r: 2}.
4/33
Calculate prob of sequence iy when two letters picked without replacement from {h: 1, r: 3, w: 4, i: 1, y: 4}.
1/39
Four letters picked without replacement from vvvvtuvuvvgvvuuvv. What is prob of sequence vvut?
11/1428
Calculate prob of sequence yx when two letters picked without replacement from xyx.
1/3
Two letters picked without replacement from {q: 1, g: 3, w: 1}. What is prob of sequence gg?
3/10
Four letters picked without replacement from iffiiffrri. Give prob of sequence rifr.
2/315
Three letters picked without replacement from {q: 4, i: 4, u: 2}. Give prob of sequence uiq.
2/45
Calculate prob of sequence ell when three letters picked without replacement from {e: 1, l: 5, x: 2, i: 1}.
5/126
What is prob of sequence ss when two letters picked without replacement from {o: 9, s: 7}?
7/40
Two letters picked without replacement from ussuuaayuyy. What is prob of sequence ua?
4/55
What is prob of sequence bbph when four letters picked without replacement from {b: 6, h: 1, y: 2, p: 3, o: 2, q: 4}?
1/816
Calculate prob of sequence zkcd when four letters picked without replacement from {d: 1, p: 1, c: 1, k: 6, z: 5}.
5/4004
Two letters picked without replacement from {n: 17, g: 1}. What is prob of sequence gn?
1/18
What is prob of sequence blb when three letters picked without replacement from {b: 2, l: 1}?
1/3
What is prob of sequence ttc when three letters picked without replacement from wtecthhththwesetew?
5/1224
What is prob of sequence qc when two letters picked without replacement from {q: 5, c: 2, t: 5}?
5/66
Calculate prob of sequence tchq when four letters picked without replacement from jhqojoojhootjocj.
1/21840
What is prob of sequence bz when two letters picked without replacement from vfcfbzz?
1/21
What is prob of sequence isu when three letters picked without replacement from sibsttubissutiniiutu?
2/171
Three letters picked without replacement from {t: 5, f: 2, o: 1, p: 8}. Give prob of sequence pft.
1/42
Calculate prob of sequence da when two letters picked without replacement from {f: 2, e: 1, d: 1, a: 1}.
1/20
Four letters picked without replacement from dydwdayigggaaywa. Give prob of sequence ydwi.
3/7280
Calculate prob of sequence au when two letters picked without replacement from {t: 1, k: 1, r: 1, a: 1, u: 2, l: 2}.
1/28
Three letters picked without replacement from {k: 2, g: 4, s: 4, p: 5}. Give prob of sequence kpp.
4/273
What is prob of sequence bt when two letters picked without replacement from {y: 1, b: 1, t: 1}?
1/6
Three letters picked without replacement from nnxsssxzs. What is prob of sequence xnn?
1/126
Calculate prob of sequence qqw when three letters picked without replacement from {x: 2, j: 2, q: 8, n: 2, p: 4, w: 1}.
28/2907
Two letters picked without replacement from gggggggggg. Give prob of sequence gg.
1
What is prob of sequence pn when two letters picked without replacement from npnenvvgnvnvvn?
3/91
Four letters picked without replacement from pjjgappjjpgjopjgx. What is prob of sequence apop?
1/2856
Three letters picked without replacement from {c: 2, f: 1, q: 2, b: 1, o: 1, e: 2}. Give prob of sequence ccq.
1/126
Four letters picked without replacement from lniniinlinn. What is prob of sequence niln?
2/99
What is prob of sequence gg when two letters picked without replacement from {v: 15, g: 5}?
1/19
Two letters picked without replacement from rlpllpp. Give prob of sequence pr.
1/14
Four letters picked without replacement from jgzggggjgzjugguuzuug. Give prob of sequence jggu.
3/323
Four letters picked without replacement from {v: 1, p: 4, t: 3}. Give prob of sequence tppp.
3/70
Two letters picked without replacement from eeoeemmmebmhmeeoeem. What is prob of sequence ho?
1/171
Calculate prob of sequence xtt when three letters picked without replacement from {x: 7, t: 1}.
0
Two letters picked without replacement from {i: 3, x: 3, n: 1, p: 3}. Give prob of sequence xn.
1/30
Three letters picked without replacement fr
|
{
"pile_set_name": "DM Mathematics"
}
|
divided by -1460
-2093/1460
Calculate -5653659 divided by 513969.
-11
Calculate -26233141 divided by -4.
26233141/4
What is 883 divided by -64109?
-883/64109
What is 2 divided by -3073675?
-2/3073675
What is -316992 divided by -16?
19812
What is -34344230 divided by -446?
77005
Calculate 542476955 divided by 229.
2368895
Calculate 81478036 divided by -4.
-20369509
0 divided by 13869058
0
Divide 247 by -14418.
-247/14418
-5479000 divided by 4
-1369750
-8779 divided by 8680
-8779/8680
Divide -87304527 by -9.
9700503
-76980080 divided by 1819
-42320
233010 divided by 2
116505
Divide -46113 by 982.
-46113/982
Calculate -378566 divided by -206.
189283/103
What is -226934464 divided by -56733616?
4
What is -2931 divided by 8322?
-977/2774
What is -8524 divided by -2124?
2131/531
Divide 20716 by 889.
20716/889
-265396 divided by -512
66349/128
66 divided by 2065060
33/1032530
Divide 40281507 by -6657.
-6051
What is 2026059 divided by -3?
-675353
Divide -24150730 by 2415073.
-10
Calculate 91974726 divided by -1803426.
-51
Divide 852864944 by -2032.
-419717
-859393 divided by -859393
1
What is 5513550 divided by 2225?
2478
Calculate 73228246 divided by 1494454.
49
What is 454417 divided by -88?
-454417/88
What is -3667935 divided by -4?
3667935/4
Divide 9054423 by 243.
37261
-451892265 divided by 165
-2738741
Calculate -585552 divided by 16.
-36597
Calculate -386 divided by 235200.
-193/117600
-72594232 divided by 9074279
-8
-21472900 divided by -14
10736450/7
What is -6602148 divided by 14?
-471582
Divide -7953987 by 7953987.
-1
1419379 divided by -7
-1419379/7
What is 146068188 divided by -6955628?
-21
What is 92 divided by 1007470?
46/503735
Divide -5853072 by 7996.
-732
Calculate 11487 divided by 10468.
11487/10468
Divide -722300964 by -1563422.
462
Calculate 13053264 divided by 5864.
2226
14994335 divided by 2998867
5
Divide -649 by 7715.
-649/7715
Divide -55057863 by -18352621.
3
What is 374 divided by 53072?
187/26536
What is 158745309 divided by 3?
52915103
Calculate 0 divided by -7544747.
0
What is 9641505 divided by 1928301?
5
3268640 divided by 2
1634320
90835 divided by 8
90835/8
What is -18865084 divided by -460124?
41
-2088878 divided by 12
-1044439/6
Calculate -7671360 divided by -2096.
3660
Calculate 52039827 divided by -6.
-17346609/2
Calculate 31068648 divided by 2964.
10482
-1068630 divided by 199
-5370
Calculate 7567720 divided by -189193.
-40
Divide -49703685 by -16567895.
3
Divide 52 by -323107.
-52/323107
Divide -6042003 by -549273.
11
What is -15700055 divided by -607?
25865
What is 201375026 divided by -33641?
-5986
What is 34461775 divided by 1378471?
25
What is -687445731 divided by -3637279?
189
What is 237912292 divided by 316?
752887
4519 divided by 11704
4519/11704
What is -14 divided by 1073291?
-14/1073291
What is -89 divided by 44838?
-89/44838
What is -70181050 divided by -23?
3051350
-8 divided by -1630879
8/1630879
Divide 15378410 by -530290.
-29
Calculate 2034355 divided by 47.
2034355/47
What is -17 divided by -18613515?
17/18613515
Divide -186131882 by -2269901.
82
What is -13448764 divided by -1993?
6748
69920739 divided by -381
-183519
What is 104 divided by 34855?
104/34855
Calculate 872424 divided by -12.
-72702
Divide 69258228 by -6.
-11543038
Calculate -108398280 divided by -17580.
6166
Calculate 5449 divided by -6842.
-5449/6842
Calculate 1550325 divided by -5.
-310065
Calculate -18005812 divided by -1.
18005812
What is -47707928 divided by -2?
23853964
95655132 divided by -47827566
-2
Divide -101387844 by -228351.
444
Calculate 390503 divided by -238.
-390503/238
Divide -171 by 4385781.
-19/487309
What is 4616100 divided by 76935?
60
-4565 divided by -3646
4565/3646
-78186 divided by -5100
13031/850
Divide -4011200 by 22.
-2005600/11
Calculate 22 divided by -749517.
-22/749517
Divide -614067471 by -5.
614067471/5
Divide 3271349 by 37.
3271349/37
1 divided by -11027680
-1/11027680
What is 495718512 divided by 165239504?
3
Divide -1 by 20355502.
-1/20355502
Divide -21295020 by 5140.
-4143
Calculate 6 divided by -17975011.
-6/17975011
-2662066 divided by 10522
-253
Divide -10 by -19546876.
5/9773438
Divide -7306 by -6709.
7306/6709
Divide -640325 by 4.
-640325/4
What is 18494064 divided by -4623516?
-4
Divide 110641488 by -62936.
-1758
What is -7179327 divided by -27?
265901
9069768 divided by 14676
618
What is -3 divided by -15160582?
3/15160582
Calculate 3 divided by 11698768.
3/11698768
Divide -15 by -1121822.
15/1121822
What is -10555 divided by -2624?
10555/2624
Divide 10430983 by -989.
-10547
12675348 divided by -452691
-28
388546 divided by 788
194273/394
Calculate -3144760 divided by -2.
1572380
-4710054 divided by 785009
-6
-482994 divided by -9
53666
Calculate 151454357 divided by 59.
2567023
Calculate -110975676 divided by 1321139.
-84
Divide 1621736 by -23.
-1621736/23
Calculate 7518744 divided by -30564.
-246
3 divided by -3332464
-3/3332464
What is -1661760 divided by 20?
-83088
Calculate 42124245 divided by 2195.
19191
What is 214765280 divided by 5369132?
40
Calculate 119 divided by -10782.
-119/10782
Divide -3 by -2793843.
1/931281
Divide -1122 by -9343.
1122/9343
Calculate 17493 divided by -955.
-17493/955
Divide 43296786 by 507.
85398
Calculate 7549014 divided by 7.
7549014/7
-1349070 divided by 699
-1930
What is -28 divided by 11732489?
-28/11732489
283 divided by -18352
-283/18352
What is 28070960 divided by 5?
5614192
233721684 divided by -1806
-129414
Calculate -1021456 divided by -5.
1021456/5
Calculate 289589 divided by 3799.
289589/3799
What is -52650891 divided by 3?
-17550297
4265170 divided by 3815
1118
Calculate 3 divided by 416865.
1/138955
Calculate 6776315 divided by 104251.
65
Divide 30146368 by -942074.
-32
-281448 divided by -39
93816/13
Divide 8060358 by 6.
1343393
Divide -11311 by -59.
11311/59
Calculate -2 divided by -2603742.
1/1301871
Calculate 71039 divided by 325.
71039/325
What is -123731 divided by -123731?
1
Calculate 20593770 divided by 686459.
30
What is 3225965090 divided by -5?
-645193018
What is 90046775 divided by -35?
-2572765
Divide -126902352 by -166.
764472
4485 divided by 13396
4485/13396
What is -36349875 divided by 5?
-7269975
Divide -36820 by 4844.
-1315/173
Calculate -3 divided by 32165038.
-3/32165038
Divide -97968680 by -31.
3160280
Divide 9547936 by -596746.
-16
-101604732 divided by -186
546262
Divide -1 by -4853326.
1/4853326
Divide -4179252 by 2.
-2089626
What is 158965419 divided by 3?
52988473
Calculate -334768224 divided by -4.
83692056
-319334704 divided by -4
79833676
What is 30 divided by 100191?
10/33397
Calculate 1114 divided by 78231.
1114/78231
What is 21673173 divided by 7224391?
3
820372 divided by -2471
-332
What is -5 divided by 20615315?
-1/4123063
What is 8606620872 divided by 3?
2868873624
Calculate -56450 divided by -414.
28225/207
-4 divided by 168409679
-4/168409679
252341973 divided by -81
-3115333
133879 divided by 110
133879/110
63866 divided by 50
31933/25
-224596515 divided by 17276655
-13
Calculate -205 divided by -24248.
205/24248
What is 92336 divided by 11542?
8
Calculate 653 divided by 471637.
653/471637
Divide 19756744 by 705598.
28
What is 266 divided by 46230?
133/23115
What is 25584331 divided by 825301?
31
Calculate 45 divided by 248974.
45/248974
What is -607906460 divided by 2586836?
-235
What is -3346704 divided by -1673352?
2
Divide 958 by -134578.
-479/67289
What is 10 divided by -189519?
-10/189519
Calculate 11367 divided by 13991.
11367/13991
-3801900 divided by -5
760380
What is -26427 divided by 259?
-26427/259
1914236 divided by 17
1914236/17
What is -4126559205 divided by 3?
-1375519735
Divide 5 by -33229648.
-5/33229648
Divide -2201 by -20.
2201/20
What is -5391078 divided by -11?
490098
What is -28 divided by 4775964?
-7/1193991
-324446956 divided by -3
324446956/3
Calculate -6884 divided by 1966.
-3442/983
Calculate 403540308 divided by -476998.
-846
Divide -48 by 50513.
-48/50513
Divide 10 by 11749297.
10/11749297
What is -2950618 divided by -7?
2950618/7
Divide 615261624 by -6.
-102543604
Calculate -29848454 divided by -252953.
118
Calculate -1530555000 divided by 750.
-2040740
Calculate 138 divided by 159539.
138/159539
Calculate 8422918 divided by -7.
-1203274
Calculate 2218903 divided
|
{
"pile_set_name": "DM Mathematics"
}
|
20, -34, -224, -468?
-784
What is the next term in -26404922, -26404923, -26404924, -26404925?
-26404926
What comes next: -8179466, -8179468, -8179470, -8179472, -8179474, -8179476?
-8179478
What is next in -28380083, -56760166, -85140249, -113520332?
-141900415
What is next in -2118808, -2118698, -2118588, -2118478, -2118368, -2118258?
-2118148
What is next in 21106, 21163, 21220, 21277, 21334?
21391
What is the next term in -6881, -25793, -56733, -99701, -154697, -221721, -300773?
-391853
What comes next: 2550976, 2550988, 2551000, 2551012, 2551024?
2551036
What comes next: -9860, -39000, -87566, -155558, -242976, -349820?
-476090
What comes next: 279717, 279765, 279853, 279981, 280149?
280357
What is next in -96, -235, -302, -165, 308, 1249?
2790
What comes next: 92387, 184646, 276919, 369212, 461531?
553882
What comes next: -11569501, -11569503, -11569505, -11569507?
-11569509
What is the next term in -1062, -2160, -3296, -4470?
-5682
What is the next term in -39903861, -39903861, -39903863, -39903867?
-39903873
What comes next: 23431, 23719, 23997, 24259, 24499, 24711?
24889
What is next in -15393733, -15393737, -15393741, -15393745, -15393749?
-15393753
What is the next term in 1649454, 1649394, 1649292, 1649148, 1648962?
1648734
What comes next: -749722, -749702, -749682, -749662, -749642, -749622?
-749602
What is next in -369679, -369419, -369159, -368899?
-368639
What is the next term in 6243, 12329, 17693, 21975, 24815?
25853
What is the next term in -3776, -4389, -5558, -7403, -10044?
-13601
What comes next: 1231880, 1231679, 1231478?
1231277
What comes next: 33206, 66409, 99612, 132815, 166018, 199221?
232424
What is the next term in -357704, -715949, -1074194, -1432439?
-1790684
What is next in 2880, 3181, 3996, 5583, 8200, 12105, 17556, 24811?
34128
What is next in -19976, -40356, -60734, -81110, -101484, -121856?
-142226
What is next in -1626513, -1626519, -1626533, -1626561, -1626609, -1626683?
-1626789
What is next in -4810895, -9621796, -14432707, -19243628, -24054559, -28865500?
-33676451
What comes next: 1275, 720, -329, -1872, -3909, -6440, -9465?
-12984
What is next in 2180463, 4360926, 6541389, 8721852?
10902315
What is the next term in -2308052, -9231993, -20771894, -36927755?
-57699576
What comes next: 1610, 5718, 12316, 21404, 32982, 47050?
63608
What is next in -1732, -13552, -45520, -107710, -210196?
-363052
What comes next: 10755, 42995, 96735, 171987, 268763, 387075, 526935, 688355?
871347
What comes next: 32858, 45023, 57182, 69329, 81458, 93563?
105638
What comes next: 93424, 93406, 93372, 93316, 93232?
93114
What comes next: 3880829, 3880823, 3880817?
3880811
What comes next: -5232, -11898, -23008, -38562, -58560?
-83002
What is next in -1972, -11075, -35792, -83929, -163292, -281687, -446920, -666797?
-949124
What is the next term in 52755, 211043, 474853, 844185, 1319039, 1899415, 2585313?
3376733
What is the next term in 25608, 51067, 76522, 101973, 127420, 152863?
178302
What is the next term in 6646967, 6647028, 6647137, 6647300, 6647523, 6647812, 6648173, 6648612?
6649135
What is next in -5938835, -5938833, -5938831, -5938829, -5938827?
-5938825
What is the next term in 59390, 120429, 181476, 242531, 303594, 364665, 425744?
486831
What is next in -29627, -119998, -270617, -481484?
-752599
What comes next: 108587, 108525, 108369, 108071, 107583?
106857
What is next in 818, 3179, 7024, 12347, 19142?
27403
What is next in 8981, 12530, 22149, 40868, 71717, 117726?
181925
What comes next: 28702, 57353, 85942, 114469, 142934, 171337?
199678
What is the next term in 58200, 58135, 58040, 57921, 57784?
57635
What is next in -24550126, -24550116, -24550106, -24550102, -24550110, -24550136, -24550186, -24550266?
-24550382
What is next in 2160, 7533, 16118, 27915?
42924
What comes next: 2829266, 11317087, 25463456, 45268373, 70731838, 101853851, 138634412?
181073521
What comes next: 69131501, 69131503, 69131505, 69131507, 69131509, 69131511?
69131513
What comes next: 1705758, 1705759, 1705760?
1705761
What is next in 982, 4012, 9078, 16180, 25318?
36492
What is next in -372200, -744401, -1116602, -1488803, -1861004, -2233205?
-2605406
What is the next term in 1516204, 6064823, 13645854, 24259297?
37905152
What is the next term in 9450263, 18900521, 28350779, 37801037?
47251295
What is the next term in 363082, 2904690, 9803352, 23237596, 45385950, 78426942, 124539100, 185900952?
264691026
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25898
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-67745
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61027
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-157039
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15973
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27932
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14239
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-1069933676
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89728
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-81130
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-5247739
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-57804949
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-1034
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3140
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-5384721
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3388
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65966
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-1094
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-79146
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503499
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-3652138
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1651968828
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831702
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1153558
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-9497
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33092
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-948347
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1910376
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-209992904
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-296
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-44440846
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-10156
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218244
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1382
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-39261474
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514485
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1258543
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608
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-4710239
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90461
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763909
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5381
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-845043
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 5*i - 4. Let c be t(-3). Let b = -25 - c. Is 12 a factor of b?
True
Let p(c) = c**3 + 5*c**2 - 4. Let o be p(-5). Let y be o - 1*12/3. Is y/6 - (-152)/6 a multiple of 8?
True
Let n(u) be the third derivative of -u**6/120 - u**5/12 + 5*u**3/6 - 6*u**2. Let y be n(-5). Suppose -y*w + 253 + 77 = 0. Does 22 divide w?
True
Suppose 3*x = -p - 7, -p - 16 = -5*p - x. Suppose 0*a = -p*a + 10, 0 = -2*y - 2*a + 6. Does 15 divide y/((6/111)/2)?
False
Is 47044/171 + 2/(-18) a multiple of 20?
False
Let h be (2 + -1)*-3*-1. Suppose -6*l + h*l + 240 = 0. Suppose -4*o = -8*o + l. Is 10 a factor of o?
True
Let h = 6970 - 4910. Does 103 divide h?
True
Let j(x) = 14*x**2 - 3*x - 2. Let l be j(4). Suppose 5*k - l = 4*o, 124 + 2 = 3*k - 4*o. Is 6 a factor of k?
True
Suppose 10 - 20 = -5*r. Suppose -3*s = -r*l + 173, -s = 2*l + 2*s - 191. Does 21 divide l?
False
Is 0 - 3 - (-3)/((-9)/(-363)) a multiple of 15?
False
Let z be 1/7 - (-83)/7. Let t = z - 12. Suppose t = -3*v - v + 56. Does 14 divide v?
True
Let f be (-20)/50*(-125)/1. Let c be (260/f)/(4/10). Let h = 8 + c. Is h a multiple of 8?
False
Suppose 15*x - 12*x - 12 = 0. Suppose 0 = -x*w + 339 + 37. Does 17 divide w?
False
Let t be 1/(3/(-24)*-4). Suppose 2*i + 6 = 2*x, -3*x + 0*i + 9 = -t*i. Suppose -x*h + 0*h + 51 = 0. Is h a multiple of 16?
False
Let t = -1066 + 1678. Is t a multiple of 9?
True
Is 0 - 17*(-9 - 4) a multiple of 77?
False
Let d = -59 + 64. Suppose -d*u - 3*p + 118 = 0, -4*u + 0*p - 3*p + 92 = 0. Is u a multiple of 13?
True
Let z(i) = i + 1. Let r be z(2). Let w be -1*(-2 + r + -1). Suppose -b + 8 - 2 = w. Is 6 a factor of b?
True
Let n(r) = -16*r**2 - r - 4. Let w be n(-2). Let x = -43 - w. Is 4 a factor of x?
False
Let h be 20*(-1)/2*1. Let x(f) = -11*f**2 + 10*f + 15. Let k(y) = 2*y**2. Let r(i) = 6*k(i) + x(i). Does 3 divide r(h)?
True
Let a = 3 - 17. Let s(k) = -k - 12. Let w be s(a). Suppose 0 = 5*z + w*o - 117, 2*z + 4*o = z + 9. Is z a multiple of 5?
True
Let b(x) = 2*x**3 - 6*x**2 - 4*x + 5. Let c be b(7). Suppose 2*t = -2, t + c = 4*a - 0*a. Does 17 divide a?
False
Let w(g) = 2*g**2 + 2*g + 7. Suppose -2 - 3 = -5*s. Let d = s - -2. Is w(d) a multiple of 8?
False
Suppose -58 = -o - n, 0*o - 2*n - 124 = -2*o. Suppose -w + 0*w = -o. Is w a multiple of 20?
True
Let v be (-24)/6 - (1 + -48). Is 15 a factor of v + (-8)/(-12)*3?
True
Let r = 13 + -9. Let y(d) = d**3 - 3*d**2 - 3*d + 1. Let b be y(r). Suppose b*o - n - 12 = 4*o, 0 = 3*n - 9. Does 9 divide o?
False
Let o = -9 - -11. Suppose o = 2*y + g - 3, y + 2*g - 4 = 0. Let a(b) = 9*b**2 - b + 2. Does 15 divide a(y)?
False
Does 3 divide (-24)/(-16) + 4170/20?
True
Let a(r) = 11*r + 2. Let h = -50 + 51. Is 5 a factor of a(h)?
False
Let x(g) = -162*g - 15. Let s be x(-5). Suppose 5*n = 10*n - s. Is 18 a factor of n?
False
Suppose -5*w = -3*r + 8, -2*r + 3 = -5*w - 4*r. Let g be 2/7 + 26/7. Is 10 a factor of g*w/((-2)/20)?
True
Let k = -483 + 492. Does 9 divide k?
True
Suppose -5*l + 3*a - 36 = -a, -5*l = 5*a. Does 7 divide (-102)/(-27) + l + 130/18?
True
Let t be (6 - (3 - -1))*-9. Let w = t - -21. Suppose -2*v + 12 = -0*s - 4*s, 2*v - 12 = w*s. Is v a multiple of 6?
True
Suppose -3*i + 3*u = 24, 0 = 5*u + 9 - 24. Let l be (-1)/((i + 1)/12). Suppose -2*w - 2*w - s + 118 = 0, 5*s = l*w - 100. Is w a multiple of 10?
True
Let i(u) = -2*u + 1. Let n be i(-2). Let w(o) = 15*o + 8. Is w(n) a multiple of 22?
False
Let a(z) = 2*z - 25. Let q be a(6). Let i(y) = y**2 + 6*y + 61. Does 26 divide i(q)?
False
Let h(s) = -3*s + 10. Let o(y) = 3*y - 10. Let r(t) = -5*h(t) - 6*o(t). Is r(-3) a multiple of 15?
False
Let q = -2 - -5. Suppose -q*d - 2*d = -r + 38, 4*d = 3*r - 103. Is r a multiple of 7?
False
Let n = 4235 - 2918. Does 39 divide n?
False
Let v(x) = -x**3 + 14*x**2 - x + 18. Let w be v(14). Suppose -k + 119 = w*d, 0*d - 5 = -d. Is k a multiple of 11?
True
Suppose x = -2*x + 21. Let p(q) be the first derivative of q**4/4 - 7*q**3/3 + 2*q**2 - 8*q - 12. Is 18 a factor of p(x)?
False
Is 9750/24 + (-8)/32 a multiple of 111?
False
Suppose 3*d + 6*b - 1731 = 3*b, -2*b = 2. Does 48 divide d?
False
Let a(c) = 17*c + 7. Let k be a(-2). Suppose -3*t = -4*o - 152, -38 = -t - 4*o - o. Let v = k + t. Does 21 divide v?
True
Suppose -264*s + 7220 = -254*s. Is 33 a factor of s?
False
Let o(i) = 3 - i**3 + 0*i**2 - 22*i + 1 + 32*i + 9*i**2. Let y be o(10). Suppose -3*x + y*g - 8 = -4*x, -g + 1 = 0. Does 4 divide x?
True
Let p(a) = 3*a**2 - 26*a - 115. Does 10 divide p(-19)?
False
Suppose 12*o - 7*o = -20, -5*d = -o + 181. Let h = 62 - d. Is h a multiple of 22?
False
Let s(w) be the first derivative of w**3/3 - 7*w**2/2 - 2*w - 29. Does 3 divide s(9)?
False
Suppose -6*q + 7*q - 2392 = 2*a, -2*a = q - 2404. Does 11 divide q?
True
Suppose -5*f + 2*s - 844 = 0, -3*s = f - 4*f - 501. Let m = f - -119. Let k = 118 + m. Is k a multiple of 9?
False
Suppose -2*q - 11 = 3*v + 65, 5*q - 2*v + 209 = 0. Let z = -33 - q. Is z a multiple of 6?
False
Suppose -78 = -2*w + 2*u + 150, 585 = 5*w - 2*u. Suppose 3*g + w + 31 = 0. Does 19 divide g/(((-12)/(-4))/(-3))?
False
Let h = -34 - 17. Suppose u + 2 = 95. Let s = h + u. Does 21 divide s?
True
Let b(y) = 2*y**2 - 13*y + 6. Let n be b(6). Suppose n = 2*g + 3*v - 36, 0 = 3*v - v. Does 4 divide g?
False
Does 30 divide (320/(-3))/((-34)/153)?
True
Is 13 a factor of 106 - 0/((-21)/3)?
False
Is (13/(-39))/(2/(-3114)) a multiple of 6?
False
Suppose 5*t = 4*t - b, 0 = 3*t + 4*b + 5. Suppose -t*k + 8 = -2. Suppose -4*s - 48 = -2*y, k*y + 17 = 5*s + 60. Does 17 divide y?
True
Is 42 a factor of 4 - (-5 - -6) - -39?
True
Let q = 220 - 515. Let h = q - -530. Does 47 divide h?
True
Suppose 3*v - 6 = -3*n, -4*n = -2*v - 2*n + 12. Suppose -3*m + 2*a = -4, v*a = 5*m - a - 10. Suppose m = -6*w + 7*w - 46. Does 8 divide w?
False
Let d(g) = -g**3 + 5*g**2 - 3*g. Let i(l) = 2*l + 1. Let w be i(-2). Let r = w - -6. Does 9 divide d(r)?
True
Let o be 28/6 + (-2)/3. Let c(f) be the second derivative of 7*f**3/6 - 13*f**2/2 - 16*f + 1. Is 5 a factor of c(o)?
True
Let i = 3429 - 2061. Does 57 divide i?
True
Let w = 1722 + -1193. Does 23 divide w?
True
Suppose -5*v - 5*y - 108 = -503, v - 75 = -2*y. Suppose 2*g - 3*p = -3*g + 224, 2*g + p - v = 0. Does 9 divide g?
False
Let u = -74 + 79. Let o = -25 - -89. Suppose r - u*r = -o. Is 7 a factor of r?
False
Let n = 8 - 6. Let s(u) = 5*u + 3*u**2 + u**3 - 3 + 6*u**n + 0*u**2. Is 28 a factor of s(-4)?
False
Suppose 1564 + 2036 = 12*c. Is 30 a factor of c?
True
Does 6 divide ((-2394)/168)/(1/(-8)*1)?
True
Let a be -1 - (-1 + 3)/(-1). Let r be 2 + (41/a - -3). Suppose -227 = -3*u + r. Does 27 divide u?
False
Let j(y) = 2*y + 17. Suppose 4*t + 25 = -3. Let q be j(t). Suppose -h - q*h + 216 = 0. Is 27 a factor of h?
True
Let n(q) = -2*q**2 - 14*q - 8. Let b be n(-6). Suppose -3*z + 2*z = -b, -3*r = 3*z - 672. Is r a multiple of 11?
True
Suppose 0 = -5*i - 5*d + 1147 + 2863, -5*i = -d - 3998. Does 5 divide i?
True
Let c(a) = -a + 114. Let h be c(0). Suppose -3*i + 3*y = -h, -3*y = i - 2*y - 42. Is 5 a factor of i?
True
Let n be -5*(-1 + 2/10). Let z(m) = -8*m + 21. Let b(u) = -u**2 + 23*u - 55. Let o(y) = -3*b(y) - 8*z(y). Is o(n) a multiple of 25?
True
Let r(l) = 8*l**2 - 10*l + 9. Is r(1) a multiple of 5?
False
Suppose -9*l + 10*l + 1 = 0, 4*d + 3*l - 157 = 0. Does 4 divide d?
True
Suppose y = -5*t + 64, -253 = -5*y - 4*t + 88. Suppose -3*r - y = -6*r. Is r a multiple of 4?
False
Let v = 25 + -21. Suppose g = -4*k + 6*k - 17, v*k - 55 = -5*g. Suppose k*y = 11*y - 10. Is 4 a factor of y?
False
Let u(k) = -41*k**2 + 2*k + 5. Let j be u(-2). Let g = -83 - j. Does 5 divide g?
True
Let y(m) be the second derivative of -7*m**3/6 + 2*m**2 + 7*m. Let q(s) = 6*s - 4. Let p(a) = -3*q(a) - 2*y(a). Is p(-2) a multiple of 3?
True
Let k = 10 + -7. Suppose 5*v + 260 = -5*w, 0*w + k*v = 3*w + 156. Is 8 a factor of (-4)/(-1*(-8)/w)?
False
Let w(q) = q + 1. Let t be w(3). Let u be t + -1 + -15 + 19. Let o(f) = 12*f + 6. Is o(u) a multiple of 18?
True
Let b = 3715 + 843. Is b a multiple of 12?
False
Suppose -5*f - 28 = -18. Let t(g) = -8*g**3 - 3*g**2 - 2*g. Does 10 divide t(f)?
False
Let m(o) = 2*o**2 + o + 108. Is 21 a factor of m(0)?
False
Does 25 divide 9 - (-106)/6 - (-5)/(-3)?
True
Suppose 13*c - 2 = 14*c. Does 2 divide
|
{
"pile_set_name": "DM Mathematics"
}
|
x + 2 = 3*l, -4*x - l = -0*x - 24 for x.
5
Solve -5*t + 13*i + 8 = 12*i, 3*i = -t + 8 for t.
2
Solve 2*n = y + 2, -3*n + 4*y + 3 = 7*y for n.
1
Solve -5*m - 9 = 2*g, 99*g - 27 = 95*g - m for g.
8
Solve 4*p + 23 = 5*d, 5*p + 32 + 2 = d for d.
-1
Solve 0 = 4*o + 5*a - 2*a + 10, 2 = o + 3*a for o.
-4
Solve 0 = 4*l - 17*k + 12*k, l = -2*k + 13 for l.
5
Solve 3*o = 4*b + 28, -o = -57*b + 61*b - 4 for b.
-1
Solve 0 = -a - 4*a - 5*l - 15, 3*a + 4*l = -14 for a.
2
Solve 3*w - 2*n - 13 = 0, -3*n = -4*w + 13 + 5 for w.
3
Solve 0 = 5*o - 3*s, -10*o + 3*s - 9 = -8*o for o.
3
Solve -9*q + 4*q = d + 23, -d + 12 = -2*q for q.
-5
Solve 3*a = -3*s - 27, -4*s + a = -0*s + 11 for s.
-4
Solve 0 = 2*f + 2*r + 16 + 4, -2*r - 30 = 4*f for f.
-5
Solve -4*u + 3*u + w = -5, -3*u - 2*w = 0 for u.
2
Solve 2*i = 3*i - 4*t + 5, i = -2*t + 1 for i.
-1
Solve 6*z - 9*z - 9 = a, 5*a = -4*z - 23 for z.
-2
Solve 0 = 5*o + 2*h - h - 6, 2*o + 4 = -2*h for o.
2
Solve 3*r - u - 3 = 2, u = -4*r - 5 for r.
0
Solve 0 = 3*a + 2*v - 5, -7*a + 9 = -12*a + v for a.
-1
Solve 3*z + 4*c = 5*c - 17, 3*c = 15 for z.
-4
Solve 0 = 3*g - k + 16, g - 8 = 2*g - 3*k for g.
-5
Solve 0 = -2*s + 4*j + 12, -5*j - 5 = -5*s + 5 for s.
-2
Solve 1209*f - 1208*f = v, 2*f = v - 4 for f.
-4
Solve -x - 5*t = -18, 0 = -11*x + 6*x - 2*t - 2 for x.
-2
Solve 0 = -4*o + u - 13, -6*o = -3*o - 3*u + 21 for o.
-2
Solve 5*q + 2*j + 2*j = -31, -3 = -3*q + 3*j for q.
-3
Solve 3*f = 5*f - 4, 2*f = -4*i for i.
-1
Solve -36 = -4*w - 4*u, -10*w + 35 = -7*w + 5*u for w.
5
Solve 4*a + 65 = 3*g + 88, 5 = -g for a.
2
Solve 8 = -r - g, g - 2 = 5*r + 8 for r.
-3
Solve 4*p - v - 11 = 0, 3*v - 13 = -2*p + 2*v for p.
4
Solve -4*j - 4 = 4*z - 0*z, -3*z - 17 = -4*j for z.
-3
Solve -24*o + 29*o = -x + 9, -2*o = x - 3 for o.
2
Solve t - 4*q = 1, -q = -2*t + 2 - 0 for t.
1
Solve -4*m = -5*o + 23, -2*o - m + 1 = -3 for o.
3
Solve -v + 3 = 0, 2 = h - 5*v + 4*v for h.
5
Solve 5*j + 2*a - 7*a = 30, 2*j + 16 = -5*a for j.
2
Solve -3*o + 18 = 2*d, -427*o + 432*o - 29 = -3*d for d.
3
Solve 16 = -4*c - 3*x, 4*c + 2*x + 12 = -0*x for c.
-1
Solve -z - 1 = -2*g + 2, 13 = 3*z + 5*g for z.
1
Solve 4*l = -5*i - 4, 2*l + 8 = -10*i + 6*i for i.
-4
Solve -29*k + 28*k = -3*f + 11, 0 = k + 2 for f.
3
Solve -2*i - 4 - 4 = 0, 3*d + 2*i + 8 = 0 for d.
0
Solve -j = 5*q - 24, 107*j + 20 = 112*j + 5*q for j.
-1
Solve x - 4*d + 11 = 0, -5*x + 0*x - 3*d + 14 = 0 for x.
1
Solve -5 = -10*o + 15*o, -4*q + 3*o = -3 for q.
0
Solve 0 = -3*i - 2*h - 16, -11*i + 15*i + h + 18 = 0 for i.
-4
Solve -q + 3 = 2*m, 0 = 5*m - 15 + 20 for q.
5
Solve p = -5*q - 15, -5*q - 15 = 2*p - 7*p for q.
-3
Solve 0 = -5*s + 4*t + 29, -s = -22*t + 21*t - 6 for s.
5
Solve -5*x = 3*i + 2 - 1, -2*x - 5*i - 8 = 0 for x.
1
Solve 3 = 3*g + 3*o, 5*g + 2*o - 12 = g for g.
5
Solve -2*m + z - 2 = -2*z, -2*m + 26 = 4*z for m.
5
Solve 2*f = 5*n - 6, 31*f - 27*f = -2*n + 12 for f.
2
Solve -3*c + r - 8 = -12, 0 = -2*c - 4*r - 16 for c.
0
Solve -5*q - 16 = 4*i - 33, 3*q = -8*i + 27 for i.
3
Solve 2*s - 3 = -g - 3*s, -3*g - 2*s - 4 = 0 for g.
-2
Solve 0 = -2*y - 2, -5*v + 126*y + 8 = 128*y for v.
2
Solve -2*p + 0*p = -5*d + 5, -d - 3*p = -18 for d.
3
Solve 3*m - 5*x - 5 = 4*m, -3*x + 9 = 3*m for m.
5
Solve 20 = -2*q + 3*v, -3*q + v = -1 + 17 for q.
-4
Solve 0 = -2*g - 2*g - 3*z - 26, 5*g - 3*z + 19 = 0 for g.
-5
Solve -4*f + 6*n - n = -3, 6 = f - 3*n for f.
-3
Solve 4*m - 3*n = 1, 10*m + 0*n + 23 = -n for m.
-2
Solve -7*x = -3*m - 12*x + 28, -5*x + 34 = 4*m for m.
6
Solve 0 = 2*k - 6*z + 9*z - 16, -z = k - 6 for k.
2
Solve -2*p - 19 = -5*b, 5 - 9 = 2*p for b.
3
Solve 2*q - 22 = -4*j + q, 4*q - 8 = 0 for j.
5
Solve -2*a - 2*a = 2*l + 20, -3*a = -3*l + 6 for a.
-4
Solve -l = c - 2*l + 7, 4*c = -2*l + 2 for c.
-2
Solve 3*f = -12, 3*x - 20 = -x + 3*f for x.
2
Solve -k + 17 = 17*v - 22*v, 5*k = 5*v + 25 for v.
-3
Solve 0*y + 2*y + 2*r - 10 = 0, -5*y - 4*r + 21 = 0 for y.
1
Solve i + 5*k = k - 1, -i + 5*k = 10 for i.
-5
Solve -l + 8 = f, 6*l = 3*l - 5*f + 30 for l.
5
Solve -c - 3*x = 1, -c + 5*x = 3*c - 30 for c.
5
Solve 3*n = -v + 13, 20 = 4*n - 42*v + 46*v for n.
4
Solve -3*h = -2*o - 23 + 18, 6*o + 2*h + 26 = 0 for o.
-4
Solve 3*b + 4 = b - 3*t, 3*t + 24 = 3*b for b.
4
Solve -2*b + 3*k + 4 = 0, 2*b + 5*k + 21 + 7 = 0 for b.
-4
Solve -4*v + t = -11, -v - 2*t = 51 - 56 for v.
3
Solve 22 = 2*a + 3*y, 5*y = 2*a + 3 + 7 for a.
5
Solve -a + 5 + 0 = 4*r, -4*r = 3*a - 15 for r.
0
Solve -5*n + 4*r + 22 + 4 = 0, -4*n + 16 = -2*r for n.
2
Solve g = 2*y + 1 + 4, 4*y - 3*g = -15 for y.
0
Solve -z - 21 = 5*y, 9 = -2*y + 2*z - 9 for y.
-5
Solve 2*j = -2*c - 8, 40 = 7*j - 12*j + 5*c for j.
-6
Solve -4*w + 4 = -4*g, 5*w = 9*w - g - 4 for w.
1
Solve 5*r + 8 = 3*h, -3*r - 2*h = -1 + 2 for r.
-1
Solve -i = 3*i + 4*b - 12, -2*b = 3*i - 9 for i.
3
Solve -3*q + 13 = 2*p, -5*q - p + 5 + 5 = 0 for q.
1
Solve -5*a = 5*c + 30, 9*c = 5*c + 3*a - 3 for c.
-3
Solve k - 6 = 3*i, 3*k - i - 8 = -6 for k.
0
Solve -b + 3 = 0, 5*v - 8 = -5*b + 9*b for v.
4
Solve -2*o - 6 = -z, 1022*z - 1017*z = -2*o - 18 for z.
-2
Solve 4*t - 19 = -u, -7 = -u - 4 for t.
4
Solve 76 = -15*i + g, 6*i - i + 23 = -2*g for i.
-5
Solve 5*b = z + 29, -5*b + 19 = -4*z - 22 for z.
-4
Solve 24 = -6*i, -4*j = -8*j - 2*i for j.
2
Solve 6*v - 8*v + 4*o = 8, 2*v - 3*o + 7 = 0 for v.
-2
Solve 3*l + 14 = d + 6, 4*d = 20 for l.
-1
Solve 0 = 4*u - 7*u + 3*b - 24, 0 = 4*u + 4*b + 8 for u.
-5
Solve -3*t - 5*b = 29, -3*b - 4 - 8 = 0 for t.
-3
Solve 12 = 2*q + 5*n, 0*q + n = 3*q - 1 for q.
1
Solve y - c + 3 = 0, c - 1 = y + 2*c for y.
-2
Solve -5 = 5*w - 4*v, -110*w - 2*v = -112*w - 4 for w.
3
Solve 2*i = 5*j - 13, 0*i - 4*j + 13 = i for i.
1
Solve -3 = 4*l + h, 5*h - 6 = 5*l + 4 for l.
-1
Solve 0 = b - y + 4, 4*b + 7*y = 3*y - 24 for b.
-5
Solve 3*v + c - 172 = -163, -5*v = 3*c - 15 for v.
3
Solve 5 - 1 = 2*i - j, 4*i - 5*j - 2 = 0 for i.
3
Solve -x - 10 = -4*f, -5*x - 2*f = 3*f - 25 for x.
2
Solve -3*c = 4*d + 27, 8 = 4*d + 2*c - 6*c for d.
-3
Solve 0 = 5*g - 20, 2*g = -19*w + 22*w - 7 for w.
5
Solve 4*q - 2*p + 4 = 0, -q + 0*p + 5*p + 17 = 0 for q.
-3
Solve 4*u = -u, 4*u - 5 = f for f.
-5
Solve -5*y + 1 = 4*a + 28, 0 = -3*y + 3*a for y.
-3
Solve x + 0 = -5*a - 19, 4*x + 3*a + 25 = 0 for x.
-4
Solve 2*v - 2*o = 0, -8*o + 13*o = -20 for v.
-4
Solve 4*h = w + 21, -5*h + 6 + 16 = 3*w for h.
5
Solve -7 = -3*a + w - 0, -5*a - 3*w = -35 for a.
4
Solve 5*i = -2*r - 10, 0 = 3*r + 2*r - 5*i - 45 for r.
5
Solve 80*s + 4*p = 75*s + 23, -4*s = p - 14 for s.
3
Solve -4*w = 42*a - 40*a - 22, w = -5*a + 19 for a.
3
Solve 0 = 2*a + 4*q - 4, -2*a + 41 - 37 = 3*q for a.
2
Solve 5*u + 2*g - 8 = 0, -15*g + 4 = -2*u - 14*g for u.
0
Solve -3*l + 17 = -f, -28 = -2*l + 4*f - 0*f for l.
4
Solve 0 = -2*o - 284 + 278, -3*k + 4*o = -21 for k.
3
Solve -49*f = -2*u - 44*f + 15, 5*u + 5*f + 15 = 0 for u.
0
Solve 3*r + w = 2, 15*r - 18*r - 2 = -w for r.
0
Solve -4*a + 15*x - 4 = 11*x, 3*a - 2*x + 6 = 0 for a.
-4
Solve 2*f + 0*f = -4*c + 10, 0 = 5*f - 2*c - 1 for f.
1
Solve w = -4*o + 9*o + 7, 0 = 2*o + 4 for w.
-3
Solve 0 = 3*s + 9, -x + 4*s - 5 = -21 for x.
4
Solve 0 + 2 = -x + y, -x - 5*y + 16 = 0 for x.
1
Solve 4*g - 3*o + 25 = 0, 3*g + 2*g + 2*o + 14 = 0 for g.
-4
Solve -4*c - 3*j + 6 = 0, -121*c = -119*c - j + 2 for c.
0
Solve 0 = -3*f + v + 13, 6*v - 2 = 4*f - 2*f for f.
5
Solve -w = 4*n - 20, -n + 2*w = -0 + 4 for n.
4
Solve -52*f - 28 = -50*f + 5*i, -5*f - 3*i - 32 = 0 for f.
-4
Solve h + 32 = -5*w + 7, 5*w + 25 = -4*h for h.
0
Solve -2*b - 11*o = -14*o - 1, -o - 3 = 0 for b.
-4
Solve 4*a + 12*f = 14*f + 12, 14 = 2*a - 3*f for a.
1
Solve c = 4*s + 22, 5*c - 15 - 20 = 5*s for c.
2
Solve -4*s + 35 = 3*b, s = 5*b - 0*s - 20 for b.
5
Solve 6 = v - 2*m, -3*v - v + 2*m = 6 for v.
-4
Solve 5 = -j, z - 23*j + 2 = -24*j for z.
3
Solve 0 = 3*f + 27*t - 25*t + 23, -4*t = -4*f - 4 for f.
-5
Solve -4*l + 1 = 3*h - 3, 3*l = h + 16 for h.
-4
Solve -2*c = 5*f + 5, -3*f - 1 = 3*c + 2 for c.
0
Solve 0 = -0*r + r - 3, 5*r - 27 = 4*l for l.
-3
Solve 0 = -3*w + 6, -5*t - 12 = -9*w + 13*w for t.
-4
Solve -3*a + 10 = -5*r, a + r - 2 = -12 for a.
-5
Solve k + 4 - 9 = -q, 20 = 4*q - 4*k for q.
5
Solve -5*g = -5*k + 2*k, -4*k = -2*g + 14 for g.
-3
Solve -4*n = -w - 15 + 1, 0 = -4*w - 2*n + 16 for w.
2
Solve c = 4*q - 20, 2*c = q -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ (2*i**4 - 4*i**4 + 3*i**4)*(-9*i + 9*i + 24*i).
29*i**5 - 9
Expand (38 - 12*r - 38)*(19*r**2 - 4*r**2 + 8*r**2) + (3*r**2 - 3 + 3)*(-2*r + 0*r + 0*r).
-282*r**3
Expand (2*c**4 - c**4 - 3*c**4)*(2 + 0 + 1 + (2 - 3 + 3)*(3 - 1 - 1) + 3 - 3 + 2 + 244 - 426 + 228)*(3 - 4 - 3*c + 4*c).
-106*c**5 + 106*c**4
Expand (-5598 + 1208 - 2223 - 841 - 2992)*(3*k - k**3 - 3*k).
10446*k**3
Expand (148 - 131 + 288)*(-o + 3*o + o).
915*o
Expand (3*d + 3*d - 2*d)*(4 + 2*d**2 - 4)*(-16 + 16 + 7*d**2 + (-2 + 2 - d)*(2*d - 2*d - d) + 3*d + 3*d**2 - 3*d).
88*d**5
Expand (-38 + 38 + 15*n)*(-4*n + 25*n + 25*n).
690*n**2
Expand 120*n**2 + 6882*n - 6882*n + (n**2 + 0*n + 0*n)*(-4 + 5 + 1) + 4*n**2 + 15 - 15.
126*n**2
Expand (-y**4 + 9694*y + 599*y**2 - 9694*y)*(3 - 5 - 3).
5*y**4 - 2995*y**2
Expand -2*j**2 - 390765 + 22934*j**5 + 390765 - 2778*j**5 + (-j**4 + 2*j**2 - 2*j**2)*(0 - j + 0).
20157*j**5 - 2*j**2
Expand (8*l**2 - 45*l + 45*l + l**5)*(-111 + 207 + 226) + 2*l**5 - 5*l**5 + l**5.
320*l**5 + 2576*l**2
Expand (-6 - 5*c**4 + 6)*((-6 + 4 - 10)*(-2*c - 4 + 4) + (2 + 2 - 3)*(-c - 2*c + 2*c) - 2*c + 3 - 3) + 0*c**3 - 12*c**5 + 0*c**3.
-117*c**5
Expand 93*a**2 + 4882 - 4882 + (-2*a - 2*a + 3*a)*(a + 0*a + 2*a) - 4*a**2 - 2*a + 2*a - a + a + a**2.
87*a**2
Expand (1 + 2*p - 1 + p - 3*p + 0*p + p + 0*p - 3*p + (5 - 2 - 2)*(0*p - 5*p + 4*p) - 3*p - 3*p + 2*p - 4 + 4 - 3*p)*(1 + 2 - 1)*(72*p**2 + 25*p**2 - 50*p**2).
-940*p**3
Expand (-5 + 2 + 2)*(-4*j**2 + 6*j**2 - 3*j**2) - 369*j**2 - 108511 + 108511.
-368*j**2
Expand (z**2 + 2*z**2 - 4*z**2)*(-5*z + z + 5*z)*(-400 - 705 - 31).
1136*z**3
Expand 82 - 82 + 20*o**2 + (o + 0*o + 0*o)*(0 - o + 0 + (3*o - o + o)*(1 - 3 - 1)).
10*o**2
Expand 3*b**5 - 5*b**5 + 4*b**5 + ((9 - 9 - 2*b)*(0*b + 0*b + 2*b) + 2*b**2 + 0*b + 0*b)*(24*b**3 - 8*b**3 + 5*b**3).
-40*b**5
Expand (-9*w**4 + 63*w**4 - 2*w**4)*(w - 4*w + 6 + 0*w).
-156*w**5 + 312*w**4
Expand 5*z**5 + 10171*z**2 - 4*z**4 - 10171*z**2 - 32*z**4 + 12*z**5 + 32*z**4 + (z**2 - z**2 + 3*z**2)*(-z**2 + z**2 + z**3).
20*z**5 - 4*z**4
Expand -729*j**4 - 16*j**4 - 1461*j**4 + (2 - 2 + 2)*(2*j**3 + 2*j**4 - 2*j**3).
-2202*j**4
Expand (4 - 4 - k**2)*(220*k**2 - 220*k**2 - 68*k**3) + 34*k**5 + 3689*k - k**2 + 2*k**3 - 3689*k.
102*k**5 + 2*k**3 - k**2
Expand (-219*x**2 + 10*x**2 - 34*x**2)*(3 - 7 - 2).
1458*x**2
Expand (29*r + 5 - 13*r - 3)*((-4 + 5 + 1)*(4 + 0 - 2) - 111 - 68 - 57).
-3712*r - 464
Expand (2*w - 3 + 3)*(-4*w + 3*w + 0*w) - 31681337 - 13813*w**2 + 31681337.
-13815*w**2
Expand (2*m + 12 - 12)*(-3*m - 117*m**2 + 26*m**2 - 1 - 18*m**2) - 4*m**2 + m**3 + 4*m**2.
-217*m**3 - 6*m**2 - 2*m
Expand (3*z - 3*z + z**4)*(1 - 1 - 2) + (-19*z**2 - 18*z**2 + 19*z**2)*(4*z**2 - 40*z**2 + 68*z**2).
-578*z**4
Expand (1 - 1 + 2)*(-58 - 8 - 13 - 2 + 3 + 0 - 3 + 5 + 0 + (2 - 5 + 2)*(-4 + 0 + 3) + 0 + 4 - 3 - 1 - 3 + 6)*(8*r - 14 + 14).
-1152*r
Expand (6 + 1 - 4 - 1 - 2 + 1 + (3 + 0 - 2)*(-1 + 1 + 1) + 4 + 1 - 3 - 1 - 1 - 4)*(4 - k**2 - 2 - 1)*(-k**3 + k**3 + k**3).
2*k**5 - 2*k**3
Expand 32498 - 32498 - 770*q**2 + (q - 1 + 1)*(-2*q + 3*q + q).
-768*q**2
Expand (2405*g + 3562*g - 1684*g + 1702*g)*(g**2 + 5*g**2 - g**2).
29925*g**3
Expand 5*w**2 - 89 + 89 + (1 - 3 + 1)*(361 - 361 + 35*w**2).
-30*w**2
Expand (4*d**4 - d**2 + d**2)*((-3 + 6 - 2)*(-2 - 2 + 3) - 3 - 3 + 5)*(135 + 148 - 116).
-1336*d**4
Expand (4082 - 50*i - 4082)*(0*i**2 - i**2 + 0*i**2)*(-15 + 15 - 2*i).
-100*i**4
Expand 6*l**2 - 20*l**3 - 3*l**3 - 9*l**2 + (l**3 + l**3 + l**3)*(4 - 6 - 4).
-41*l**3 - 3*l**2
Expand (-3 + 1 + 0)*(-u**2 + u**2 + 2*u**2)*((3 - 3 + 3)*(-3*u - 20*u - 23*u) + (-2 + 4 - 1)*(-6*u + 2*u + 2*u) - u + 2*u + 0*u + u - 3*u + u).
560*u**3
Expand (-2*s - 2*s + 2*s)*(1 - 4 + 5)*(4*s**2 - 3*s**2 + 2*s**2)*(5*s - 4*s + 6*s) + (6 - 6 - 30*s)*(3*s**3 + 4*s**2 - 4*s**2).
-174*s**4
Expand (13 - 47 + 6)*(14*t**3 + 33*t**3 - 4*t**3).
-1204*t**3
Expand (-4 - 2 + 3)*(-i**2 - 2*i**2 + 4*i**2)*(-5 + 5 - 2*i)*(4 - 2 - 1)*(421 - 600 + 358)*(-4*i + 0*i + 2*i).
-2148*i**4
Expand (-1 + 1 - j)*(216 - 2110 - 444 - 2 - 1137).
3477*j
Expand (-5 + 0 + 13)*(-246878*x + 246878*x - 667*x**2).
-5336*x**2
Expand (-55 - 59*b**2 + 28 + 30)*(-14391*b + 62*b**2 + 14391*b).
-3658*b**4 + 186*b**2
Expand (-2*s - 5244*s**2 + 2 + 2*s - 5255*s**2 + 10434*s**2)*(-16*s**2 + 2*s**2 - 14*s**2).
1820*s**4 - 56*s**2
Expand (5*b**2 - 3*b**2 + 3 - 6*b**2)*(3*b + b - 3*b) - 1539*b**2 + 33*b**3 + 1539*b**2 + (-2 + 2 - 2*b**2)*(-2*b + b + 0*b) - 2*b**3 + 3*b**3 + 0*b**3.
32*b**3 + 3*b
Expand (5 + 0 - 3)*(-3 + 0 + 4)*(0*u + 3*u - 2*u + (-5 + 1 + 2)*(u + 0*u + 0*u) + 11*u - 15*u - 17*u)*(0*u**3 - 3*u**4 + 0*u**3 - 1).
132*u**5 + 44*u
Expand (2 - 3 + 48*a - 95*a + (-2*a - 2 + 2)*(3 + 0 - 1) + 1 - 1 + 2*a)*(9*a - 12*a - 17*a).
980*a**2 + 20*a
Expand (-7766*s + 3951*s + 3951*s)*(5 + 1 - 4).
272*s
Expand (-6 + 1 - 5)*(-4698*b**2 - 4166*b**2 + 2737*b**2 - 2204*b**2 - 1349*b**2).
96800*b**2
Expand (8757 + 4649 - 259 - 2689)*(-r - 3*r + 3*r - 2*r + 2*r + r + (-2 + 2 - 2*r)*(3 + 0 - 1) + 1 + r - 1).
-31374*r
Expand (6161 - 146*x - 6161)*(-2 + 3 - 17 + 2 - 3 + 3 - 3 + 1 + 1 + (1 - 1 + 1)*(0 + 0 - 1) - 2 + 2 + 1 - 2 - 2 + 2).
2482*x
Expand (16 + 3 + 1)*(-10*j**2 + 6*j**2 - 9*j**2) + 99 - 10*j**2 - 99.
-270*j**2
Expand (309 - 5471 - 6631 - 675 - 1665)*(0 + m + 0).
-14133*m
Expand -6*c + 4*c**3 + 6*c + (0 - 2 + 3)*(2*c**3 - c**3 - 3*c**3) + (-3*c**2 + 9*c**2 + c**2)*(-25*c - 29*c + c).
-369*c**3
Expand (-14*v + 5*v - 16*v)*(v + 2*v - 2*v)*(4*v**2 + 2*v - 2*v) + 0*v**4 + 4*v**4 - 6*v**4.
-102*v**4
Expand (2 - 2 + 3 + 3 + 0 - 2 + (-3 + 3 - 1)*(-1 + 1 - 2))*(-12*k + 5 - 5)*(5*k**4 - 4*k**3 + 4*k**3).
-360*k**5
Expand (0 - 1 + 2)*(5008620 + 2771*a - 5008620).
2771*a
Expand -4*f**2 + 2*f**2 + 0*f**2 + (1 - 1 - 2*f)*(-f + 5*f - 5*f) + 2*f**2 - f**2 + 2*f**2 - 15 - 7*f**2 - 59*f**2 - 8 + 23.
-63*f**2
Expand (-1 + 1 + 3*z)*(-29 - 7175*z + 14117*z - 7118*z).
-528*z**2 - 87*z
Expand 17*f**4 - 57*f**4 - f**4 + (-1 + 1 - f)*(f**3 + f**3 + 0*f**3) - 2*f**4 - 2*f**4 + 0*f**4.
-47*f**4
Expand (462 + 443 + 606 - 6601 - 7305)*(-5*d**3 + 0*d**3 + 4*d**3).
12395*d**3
Expand -l - 3*l + l + (-1 - 2 + 1)*((-3*l + 4*l - 2*l)*(-2 + 0 - 3) - 7*l + 9 - 9).
l
Expand n**3 - 3*n - 11*n + 15*n + (3*n**2 + 0*n**2 - 2*n**2)*(-4*n - 1 + 1) + 37*n**2 - 146*n**3 - 37*n**2.
-149*n**3 + n
Expand ((-3 - 4 + 6)*(-r**3 + 0*r**2 + 0*r**2) - 6*r**3 + r**3 + 2*r**3)*(7465*r**2 + 411 + 404 - 815).
-14930*r**5
Expand (2*v + v - 2*v)*(-3 + 4 - 4)*(-4 + 0 + 3)*((-4 + 4 - 2*v)*(4 - 3 + 2) - 4*v + 9*v - 10*v + 4*v - 9*v - 12*v).
-84*v**2
Expand (2 - 6 + 1)*(-u - 2*u + u) + 1334 - 1334 - 1289*u.
-1283*u
Expand (56 - 64 + 51)*(27*w - 22*w - 18*w).
-559*w
Expand (74*j - 26*j + 14*j)*(j**4 + 0*j**3 - 2*j + 0*j**3).
62*j**5 - 124*j**2
Expand -5*w**2 - 3*w**2 + 6*w**2 + (3*w + 3*w - 8*w)*(16*w + 9 - 9) - w**2 + 2*w**2 + 0*w**2 - 3*w**2 - w**2 + 2*w**2.
-35*w**2
Expand (o**2 + o - o)*(-1 - 549154*o - 3173*o**2 + 1 + 549153*o).
-3173*o**4 - o**3
Expand (7*d**2 - 13*d**2 - d**2)*(-2*d**3 + 5*d**3 - 4*d**3) + (2 - 1 - 2)*(5*d + 12*d**5 - 3*d - 4*d + 1).
-5*d**5 + 2*d - 1
Expand (-98*l + 98*l + 26*l**3 + (3*l - l - 4*l)*(l**2 - 2*l**2 + 3*l**2))*(-2*l + 3*l + 0*l).
22*l**4
Expand (2 - 2*m + 1 - 2)*(984 - 987 + 81*m**3 - 13*m**3).
-136*m**4 + 68*m**3 + 6*m - 3
Expand (-25*x**3 + 29*x**3 - 23*x**3)*(-8*x - 13*x - 13*x)*(-5 + 1 + 2).
-1292*x**4
Expand 7 - 36*m**2 - m**4 - 9 + 38*m**2 + (0*m**3 - 4*m**3 + 3*m**3)*(-2 + 2 - 3*m).
2*m**4 + 2*m**2 - 2
Expand (856*p + 938*p - 1947*p - 3)*(-3*p + 2*p + 2*p)*((-4 + 1 + 4)*(p - p - p) + p + 2*p - p)*(2 + 1 - 1).
-306*p**3 - 6*p**2
Expand (-25944*g**5 + 13014*g**5 + 12973*g**5 + 10*g)*(5 - 1 - 3).
43*g**5 + 10*g
Expand -3 + 3 + l + (-22 - 17 + 5)*(4 - 4 - 2*l) - 5*l + 3*l + l - 3*l + l + l + (l - 5*l + 3*l)*(-2 - 1 + 4) + 4*l + 0*l + 13*l.
83*l
Expand (1 - 1 + 1)*(2*h**2 + 2*h**2 + h**2 + (h - h - 2*h)*(2 - 2 - 2*h) + 3*h**2 - 5*h**2 - 2*h**2 - 6*h**2 + 9*h - 9*h)*(2 - 2 + 2).
-2*h**2
Expand (3*b + 10*b + 43*b)*(-5 + 22 + 12)*(b**2 - b**2 - b**2).
-1624*b**3
Expand (26*x - 84*x - 35*x)*(-x + x - 2*x**3) - 22*x**2 + 22*x**2 + 6*x**4 + (-3*x - 2 + 2)*(-3*x**3 - 2*x**3 + 4*x**3).
195*x**4
Expand (-247*i + 510*i - 258 - 261*i)*(-2 + 2 + 3*i).
6*i**2 - 774*i
Expand (-3*p**2 + 3*p**2 - p**3)*(-4816*p
|
{
"pile_set_name": "DM Mathematics"
}
|
1647737 by -7.
-235391
Calculate 473952556 divided by -3077614.
-154
Calculate 36636449 divided by -16.
-36636449/16
What is 9293660 divided by 5?
1858732
-54057822 divided by -182
297021
Calculate 23 divided by -1495535.
-23/1495535
Divide 4354698 by 725783.
6
Calculate 259 divided by 267640.
259/267640
Divide 17974179 by -21171.
-849
Divide -10046432 by 627902.
-16
Calculate -25 divided by -212311.
25/212311
-218017590 divided by 1082
-201495
437385030 divided by 1467735
298
What is -203720 divided by -268?
50930/67
Calculate 7 divided by 17493714.
1/2499102
Divide -40 by 163696.
-5/20462
Divide 1 by -66036256.
-1/66036256
Divide 13261 by 22532.
13261/22532
Calculate -5614635 divided by 1871545.
-3
-16587324 divided by 921518
-18
Divide 12759904 by 16.
797494
Calculate 253 divided by -930320.
-253/930320
Calculate -598642784 divided by 2.
-299321392
What is 3 divided by 83361099?
1/27787033
Calculate -2 divided by 16407211.
-2/16407211
Calculate 1264795 divided by -4.
-1264795/4
Divide -6324895 by 4.
-6324895/4
Calculate 3931690 divided by -56167.
-70
What is -136446 divided by 13?
-136446/13
Divide -136016584 by 54934.
-2476
12641 divided by 106
12641/106
-44119917 divided by -14706639
3
What is 4710222 divided by 261679?
18
Calculate -1 divided by -5338088.
1/5338088
Divide 13 by 10890464.
1/837728
149937000 divided by 1999160
75
Calculate 83170348 divided by 7.
83170348/7
Divide 98278060 by -2930.
-33542
Divide 28285376 by -3535672.
-8
What is -7403 divided by 3918?
-7403/3918
Divide 24651360 by 8109.
3040
Divide 7684390788 by 6.
1280731798
What is 14816928 divided by 28?
529176
Calculate 55 divided by -796.
-55/796
What is 424 divided by -7549?
-424/7549
Calculate -331236 divided by 9.
-36804
Calculate -5 divided by 9898216.
-5/9898216
272329 divided by -560
-272329/560
Divide 79 by 200577.
79/200577
Divide 534926 by -59.
-534926/59
Calculate 135 divided by 330449.
135/330449
-124010 divided by -745
24802/149
What is -4 divided by 3914384?
-1/978596
Calculate -6785940 divided by -420.
16157
Calculate 47830367 divided by 6.
47830367/6
Calculate 241971730 divided by -10510.
-23023
Calculate 1556100 divided by -91.
-17100
-20427030 divided by -9243
2210
What is 3838848 divided by 36912?
104
Divide 19682310 by -3936462.
-5
39160601 divided by 1
39160601
-293357340 divided by -6
48892890
-6020 divided by 30267
-6020/30267
Divide -4 by 1208547.
-4/1208547
What is 100300 divided by 234?
50150/117
Calculate -3962748 divided by -9.
1320916/3
What is -15728060 divided by 10?
-1572806
Calculate 208841940 divided by 204747.
1020
Divide -3333 by 11365.
-3333/11365
Divide 12 by -3573211.
-12/3573211
-2641392 divided by 117
-22576
What is 34509573 divided by 3?
11503191
What is 18260 divided by -10273?
-18260/10273
Calculate 117566890 divided by 16795270.
7
-852481795 divided by 5
-170496359
Divide -4 by -661060.
1/165265
Divide -182539050 by -1258890.
145
Divide -37855440 by -1421.
26640
Divide -38792908 by -13258.
2926
Divide 2664120 by -44402.
-60
Calculate 0 divided by -92750.
0
Calculate -1714972788 divided by -61.
28114308
Calculate -108674 divided by -7.
108674/7
Divide 4550645 by -55.
-82739
-146623530 divided by 24437255
-6
Divide 465 by 699.
155/233
What is 0 divided by 3604792?
0
27760110 divided by 335
82866
Divide 2154 by -171339.
-718/57113
-602291840 divided by 80092
-7520
Calculate -277636723 divided by -39662389.
7
What is 40 divided by -433886?
-20/216943
Calculate 11006000 divided by -80.
-137575
Calculate -102747062 divided by 1606.
-63977
138 divided by 252958
69/126479
Divide 1422 by -536467.
-1422/536467
Calculate 5253283 divided by 3269.
1607
Calculate -3702600 divided by 22.
-168300
121 divided by -432892
-121/432892
What is 106 divided by -6397043?
-106/6397043
What is -591151675 divided by 5?
-118230335
-73 divided by -27540
73/27540
1906218 divided by 3
635406
767703 divided by 14
767703/14
-12570630 divided by -2514126
5
Divide 10946182 by -4.
-5473091/2
Divide -3365 by 4927.
-3365/4927
-522 divided by 29737
-522/29737
38343340 divided by 3834334
10
-88899 divided by -88
88899/88
Calculate -61522444 divided by -4.
15380611
-421566 divided by 51
-8266
Divide 375 by 3839.
375/3839
-1709545 divided by -341909
5
-9805475 divided by -392219
25
4614202 divided by -27
-4614202/27
-6 divided by 1171669
-6/1171669
Divide 133381 by -2889.
-133381/2889
What is 0 divided by -95034?
0
What is 22180537 divided by -2?
-22180537/2
Calculate 12367128 divided by -6183564.
-2
Calculate -6304656 divided by -19.
331824
What is 733249776 divided by -2182291?
-336
Divide 3440406 by 1720203.
2
Calculate 108 divided by -386515.
-108/386515
Divide 1 by 1326232.
1/1326232
Divide 129380925 by 2.
129380925/2
Divide 8777 by -3325.
-8777/3325
Divide 29275009 by 1.
29275009
Calculate -18843360 divided by 5920.
-3183
What is 6600 divided by -14474?
-3300/7237
Calculate -21356154 divided by 3798.
-5623
What is 2448 divided by 48297?
48/947
3091416 divided by -7577
-408
Calculate 102877500 divided by -27434.
-3750
Calculate 4767453 divided by 49149.
97
Calculate -2 divided by -2733010.
1/1366505
6624045 divided by -15
-441603
-583 divided by -21211
583/21211
Calculate 54885978 divided by 2.
27442989
Calculate -4549864 divided by 1192.
-3817
44485079 divided by -5
-44485079/5
23399025 divided by 23399025
1
Calculate 17902797 divided by 3.
5967599
Divide 8452701 by -3.
-2817567
Divide 2027883 by 1793.
1131
Divide 42621922 by -77074.
-553
-5156010 divided by -531
9710
18935112 divided by 901672
21
What is 62522 divided by 534?
31261/267
Calculate 1123564 divided by -52.
-21607
8316360 divided by 31986
260
What is -3369310 divided by -3790?
889
Calculate -16543793 divided by -4.
16543793/4
Divide -714678 by -383.
1866
-1933104 divided by -4944
391
Calculate 56 divided by 1387049.
56/1387049
Calculate -140598 divided by -1913.
140598/1913
What is 0 divided by -56100824?
0
Calculate 6012 divided by -486.
-334/27
What is -108607 divided by -18?
108607/18
Calculate 428976347 divided by 1.
428976347
Calculate -2039345 divided by 26.
-2039345/26
Divide -61905509 by 7.
-61905509/7
What is 57208280 divided by 4?
14302070
979258 divided by 4333
226
What is -3949007 divided by -16?
3949007/16
-2469063 divided by -3
823021
18814 divided by -29
-18814/29
Divide 965688 by -15.
-321896/5
What is -3 divided by 36157642?
-3/36157642
Calculate -3971616 divided by 44.
-90264
Divide 2314906 by 5.
2314906/5
Calculate 54346 divided by -2415.
-54346/2415
Calculate -3630 divided by -785.
726/157
Calculate -135577 divided by 222.
-135577/222
Divide -40229 by -359.
40229/359
What is -87385768 divided by 21846442?
-4
What is -1501848 divided by 12?
-125154
What is -330883 divided by 2?
-330883/2
Calculate -195021747 divided by 1013.
-192519
Calculate 178251388 divided by -91084.
-1957
What is -378178 divided by 113?
-378178/113
Divide 71212064 by -44.
-1618456
Calculate 4 divided by -222087.
-4/222087
-34 divided by 4058626
-17/2029313
What is 43189368 divided by -9043?
-4776
Divide -714 by 2657.
-714/2657
Calculate -11712720 divided by 2342544.
-5
6859997 divided by -3
-6859997/3
What is 5893052 divided by 14?
2946526/7
Divide -4 by -419917.
4/419917
-1092555 divided by 24279
-45
Calculate -6260075 divided by 1252015.
-5
Calculate 0 divided by -67273539.
0
What is 2348 divided by -54830?
-1174/27415
Calculate -2887684562 divided by -2.
1443842281
349660 divided by -120
-17483/6
Divide 16376 by -780.
-4094/195
Divide -259591283 by -6.
259591283/6
-125233578 divided by -3578
35001
Calculate -33 divided by -1212347.
33/1212347
What is -538709091 divided by -1?
538709091
Calculate 3952841 divided by 22.
3952841/22
Calculate -184 divided by -9665.
184/9665
What is 17889165 divided by 19215?
931
Divide 5 by 32047972.
5/32047972
Calculate 26323 divided by 940.
26323/940
3137 divided by -511
-3137/511
-10 divided by -2261723
10/2261723
115 divided by 420
23/84
Calculate -123690 divided by -55.
24738/11
8718630 divided by -5
-1743726
What is -348901 divided by -3?
348901/3
Divide -3487598 by -1743799.
2
What is -318454 divided by 318454?
-1
What is 1968101 divided by -14159?
-139
Calculate -12997 divided by -4426.
12997/4426
Divide -11633 by -244.
11633/244
What is 35479080 divided by 8869
|
{
"pile_set_name": "DM Mathematics"
}
|
d by h.
22
Let w(y) = -198*y + 211. Calculate the remainder when 48 is divided by w(1).
9
Suppose 264 = 5*n - 6. Suppose 38 + n = 4*t. Let z = 4 + t. Calculate the remainder when 101 is divided by z.
20
Let j(y) = 276*y - 1253. Calculate the remainder when j(6) is divided by 98.
11
Let g(k) = -k**3 + k**2 + 3*k + 8. Let i be g(-3). Suppose 0 = 41*w - i*w - 54. What is the remainder when 24 is divided by w?
6
Let p(s) = -s - 33 + 12 - 68 - 2*s. Calculate the remainder when 4 is divided by p(-30).
0
What is the remainder when 315 is divided by (-3)/18*-4 + (-65960)/(-582)?
87
Suppose 542*a + 3398 - 19757 = -565*a + 7995. Suppose 3*y + 4*n - 107 = 0, y - 27 = 4*n + 30. Calculate the remainder when y is divided by a.
19
Let x = -4509 + 5221. What is the remainder when x is divided by 233?
13
Calculate the remainder when 148 is divided by -142 - -143 - ((-420)/2)/2.
42
Suppose 3*z - 384 = 106*c - 104*c, 3*z - 405 = -5*c. Calculate the remainder when 209 is divided by z.
79
Suppose 15 = 5*p, -45 = -2*m - 4*p - 23. Suppose -3*a + 94 = -d, -130 = -22*a + 17*a - m*d. Calculate the remainder when (-1386)/(-24) - (-2)/8 is divided by a.
28
Let u(s) = -s**2 + 46*s. What is the remainder when u(3) is divided by 32?
1
Suppose -2*m = 2*u - 14, -5*u + 4*u + 11 = 3*m. Suppose -t = -p + 5*p + 2, 28 = 4*t - m*p. What is the remainder when 95 is divided by t?
5
Let m(x) = 2*x**3 - 12*x**2 + 34*x - 30. Calculate the remainder when 244 is divided by m(4).
34
Let c be 2 - 15/3 - -5. Suppose 0 = -2*x + 5*z + 180, c*x - 6*z + 3*z - 172 = 0. Calculate the remainder when x is divided by (63/(-2))/3*4/(-3).
10
Let w(h) = -2*h**2 - 7*h + 7. Let f be w(-4). Suppose f*v - 292 = -166. What is the remainder when 881 is divided by v?
41
Let g(p) = -p**3 - 2*p**2 + 3*p + 6. Let r be g(-4). Suppose 210 = 10*c + 23 - 33. What is the remainder when c is divided by 24/6*r/8?
9
Suppose 12*x - 87 = 501. Calculate the remainder when 685 is divided by x.
48
Suppose 4*x + 64 = 5*k + 5*x, 3*k - 40 = x. Let j = -9 + k. Suppose -2*p + 2*c = -20, j*p = -2*c + 3*c + 55. Calculate the remainder when 71 is divided by p.
11
Let h be -1 - (0/1 - 3). Let t(l) = -5*l**h - 2*l + 20*l**2 + 3 - 13*l**2. Calculate the remainder when 118 is divided by t(2).
6
Suppose y + 3*c = 0, -4*c - 76 = -y - 4*y. Let o = 32 - -5. What is the remainder when 290/(-8)*(8 - y) is divided by o?
34
Suppose -5*z - 857 = -4582. Suppose -750*c + z*c = -100. What is the remainder when 93 is divided by c?
13
Suppose -3*f = 7*b - 8*b + 6, 0 = -f. Let m be (104 - b)*(2 - 3). Let x = -87 - m. What is the remainder when 73 is divided by x?
7
Let w(d) = 6*d**2 + 4*d + 28. Let u be (6/9)/(1/(36/(-8))). What is the remainder when 488 is divided by w(u)?
68
Let d = 30466 + -27143. What is the remainder when d is divided by 175?
173
Suppose 27*a - 23*a = -292. Let p = 139 + a. What is the remainder when p is divided by 34?
32
Let a = -1364 - -1362. Let f(q) = -q + 4. What is the remainder when (240/120)/(a/(-118)) is divided by f(-6)?
8
Let p(n) = -n**2 - 130*n - 3648. What is the remainder when p(-53) is divided by 16?
1
Let q be (-4)/(-26) - 2200/(-65). Let u = q - 34. Suppose 5*m - x = 419, -2*m + 3*x + 178 = -u*m. What is the remainder when m is divided by 28?
27
Let t = -3105 + 3186. Calculate the remainder when t is divided by 22.
15
Calculate the remainder when 3327 is divided by (-18)/3*((-1232)/(-42))/(-11).
15
Let l(a) = -a**2 + 17*a + 43. Suppose -105 = -4*q - 37. What is the remainder when 256 is divided by l(q)?
41
Let g = 14 + -3. Suppose -j = -11*j - 760. Let q = j + 80. What is the remainder when g is divided by q?
3
Suppose 3*i - 21 = -12. Suppose -5*c - 684 = 5*x - 1939, -i*x - 2*c = -749. What is the remainder when x is divided by 67?
46
Suppose 13 + 101 = 6*l. Suppose 6*t = n + 8*t - 19, -n - 4*t = -l. What is the remainder when 127 is divided by n?
13
Suppose 3*f + 9 = o - 20, -2*o - 4*f + 48 = 0. Calculate the remainder when (-21 - -12)/(3/(-15)) is divided by o.
19
Let l = 10 + -7. Let v(k) = 3*k**2 + 4*k - 3. What is the remainder when -7 + (-5152)/(-69) + 8/6 is divided by v(l)?
33
Let j(l) = -7 + 12 - 6*l**2 + 6*l - 2 + l**3. What is the remainder when 254 is divided by j(5)?
6
Suppose -3*m = -3*o - 6, 5*m + 0*m = 3*o + 14. Suppose o*f = 64 - 16. Calculate the remainder when 79 is divided by f.
7
Suppose -4*w + 3*z + 95 = 0, -26 = -w + 5*z + 2. Suppose w = -m - 19. Let p = m - -73. Calculate the remainder when 58 is divided by p.
27
Let u(x) = 162*x + 1258. Let k = 5 + 1. Suppose 2*n + k = 0, -5*n - 78 = 2*h - 5*h. Calculate the remainder when u(-7) is divided by h.
19
Let b(q) = -16*q - 122. Let u be b(-8). What is the remainder when ((-6)/u)/(3/(-798)) is divided by 54?
50
Let f be -2*(-1)/(-5) + 2025/375. Suppose 3*l = 0, -8*a + 11*a + f*l - 282 = 0. Suppose 6*m - 16 = 80. Calculate the remainder when a is divided by m.
14
Let d(t) = -1429*t - 10894. What is the remainder when d(-9) is divided by 179?
177
Let h(w) = -161*w - 2793. What is the remainder when h(-33) is divided by 1259?
2
Let a = -76 - -346. Let c(f) = -156*f**2 + 1149*f - 360. What is the remainder when a is divided by c(7)?
36
Let g(q) = -193*q**3 - 21*q**2 - 26*q - 3. What is the remainder when g(-1) is divided by 24?
3
Suppose 35*w = 13*w - 110. Let f(r) = r**3 + 11*r**2 + 22*r + 3. Calculate the remainder when f(w) is divided by 26.
17
Suppose 10 + 11 = w - 2*v, -5*w + 4*v + 75 = 0. Let j = -3 + w. Let x(b) = -b**3 + 10*b**2 - 5*b - 13. Calculate the remainder when x(j) is divided by 13.
10
Let q(a) = -a**3 - 16*a**2 + 9*a + 2. Suppose 370 - 438 = 4*m. Suppose 0 = -2*s + 22 + 6. What is the remainder when q(m) is divided by s?
12
Let i(t) = -t**2 - 5*t + 1. Let k be i(-6). Calculate the remainder when ((-1)/(k/(-22)))/((-4)/610) is divided by 14.
13
Let n(q) = -q + 22. Let l be n(18). Suppose -3*u = -6*u - 4*s + 825, 267 = u + l*s. Let b = -65 + 105. Calculate the remainder when u is divided by b.
39
Suppose 299 = -13*a + 13. Let d(c) = -c**3 - 21*c**2 + 16*c - 74. What is the remainder when 150 is divided by d(a)?
34
Let t = 410 - -228. Calculate the remainder when t is divided by (21/(-6) - -3)/(4/(-512)).
62
What is the remainder when 418 is divided by -60*((-128)/48 - (-44)/30)?
58
Suppose -1334*z + 1346*z = 1860. What is the remainder when z is divided by 13?
12
Suppose -5*r = 4*h - 917, -108*r + 5*h + 347 = -106*r. Calculate the remainder when 499 is divided by r.
137
Suppose 11*r - 2063 = 2535. What is the remainder when r is divided by 105?
103
Suppose 0 = -4*j, -120 - 47 = -y - 3*j. What is the remainder when y is divided by 10?
7
Let q = 4412 - 4357. Suppose 0 = j - 3*j + 72. What is the remainder when q is divided by j?
19
Let b(m) = -8*m - 34. Let t be b(-12). Suppose -2*w + w = -t. What is the remainder when w is divided by 16?
14
Let f(a) = -2*a**3 + 3*a**2 + 5*a - 5. Let h be f(2). What is the remainder when h/(8 + (-4878)/610) is divided by 153/(-6)*12/(-9)?
33
Suppose 4*a + 3*a = 28. Suppose -a*l = -8, -x + 20 = x + 5*l. Suppose 314 = x*f + 4*v, 348 = 4*f - 2*v + 102. Calculate the remainder when f is divided by 9.
8
Let c = 67 - 40. Calculate the remainder when 406 is divided by c.
1
Suppose -5*y - 2*n + 18 = 0, 0 = 5*y - 3*n + 8 - 6. Suppose -3 + 1 = -y*b. Suppose -5*h + 11 = b. Calculate the remainder when 7 is divided by h.
1
Suppose -2*z - 59 = -12*h + 11*h, 119 = 2*h - 5*z. Calculate the remainder when 74 is divided by h.
17
Suppose -7*g = -9*g + 2*s + 18, -g = -3*s - 19. Calculate the remainder when 166 is divided by g.
2
Let i be ((0 - 1) + 1)/(37 - 36). Suppose i*h - h = -13. Calculate the remainder when 295 is divided by h.
9
Suppose -i = d - 1247, -2*i = -5*d - 2387 - 142. What is the remainder when i is divided by 179?
178
Suppose 10 = -3*u + 2*u. Let s = -390 + 441. What is the remainder when s is divided by u/(-45) + 194/18?
7
Suppose -2*r + 5*u + 37 = -55, -5*r - 3*u = -261. What is the remainder when r is divided by 48?
3
Calculate the remainder when 2*-8*(-3)/(-6) - -194 is divided by ((17 - 6) + -6)*(1 - -6).
11
Calculate the remainder when 334 is divided by (-585)/130*40/(-15).
10
Let i = -5698 - -6511. What is the remainder when i is divided by 48?
45
Calculate the remainder when 2246 is divided
|
{
"pile_set_name": "DM Mathematics"
}
|
r(x).
(x - 2)*(23*x - 2)/4
Find q, given that 98*q - 132 + 1/4*q**4 - 81/4*q**2 + 0*q**3 = 0.
-11, 3, 4
Let n be -7*72/84 - 40/(-6). Let d(k) be the first derivative of 0*k + 2*k**2 + n*k**3 - 3/2*k**4 - 7. Factor d(t).
-2*t*(t - 1)*(3*t + 2)
Let b = 6461233/4 - 1615307. Suppose b*s**2 + 125/2*s - 255/4 = 0. Calculate s.
-51, 1
Suppose -411*q + 410*q - 6 = 0. Let c be q - (-399)/49 - 1. Factor 0*j - 6/7*j**2 + 0 - c*j**3 - 2/7*j**4.
-2*j**2*(j + 1)*(j + 3)/7
Let i(w) be the first derivative of -31 - 35/24*w**4 + 27*w - 35/12*w**3 - 1/4*w**5 - 5/2*w**2. Let y(x) be the first derivative of i(x). Factor y(r).
-5*(r + 1)*(r + 2)*(2*r + 1)/2
Let w = -163 + 166. What is o in 27*o**4 + 90*o**3 + w*o**5 - 68 + 31*o + 68*o + 138*o**2 + 95 = 0?
-3, -1
Let q = 577/1151 - 3/2302. Let l(v) be the second derivative of 0*v**2 + 0 - 6*v - 1/2*v**3 - 3/20*v**5 - q*v**4. Suppose l(f) = 0. What is f?
-1, 0
Let w = 99043/22 - 98963/22. Factor -18/11*o**2 - 2/11*o**3 - 48/11*o - w.
-2*(o + 2)**2*(o + 5)/11
Let z = -26 - -29. Suppose -z*t = 2*m - 15, -4*m - 3*t + 5*t + 6 = 0. Factor -22 - 7*w**3 - 2*w**2 + m*w**3 + 10*w + 18.
-2*(w - 1)*(w + 2)*(2*w - 1)
Suppose -2*g - 72 = 2*g. Let r(i) = i**2 + 17*i - 14. Let b be r(g). Let j**5 + 3*j**b + 3*j**4 + 2*j**3 - 2*j**5 - 7*j**4 = 0. Calculate j.
-2, 0, 1
Let c(q) be the first derivative of 28*q**5/5 + 26*q**4 + 116*q**3/3 + 20*q**2 - 1918. Factor c(v).
4*v*(v + 1)*(v + 2)*(7*v + 5)
Let t(p) be the second derivative of 3*p**5/10 + 13*p**4/2 + 40*p**3/3 + 6*p**2 - 32*p. Let x(j) = j**3 - j**2 + 3. Let u(f) = -t(f) + 4*x(f). Factor u(l).
-2*l*(l + 1)*(l + 40)
Solve 133*n - 25/3*n**4 - 30 - 589/3*n**2 + 305/3*n**3 = 0 for n.
3/5, 1, 10
Let s be 10*-1*(-5)/10. Let m = -176609 + 529828/3. Factor 0*r + 2/3*r**3 + 0*r**2 - r**4 + 0 + m*r**s.
r**3*(r - 2)*(r - 1)/3
Let v be 88 + -92 - -50*1. Suppose 5*g + 13 = w, -5*g + v = -2*w + 62. Factor 4/9*k**2 + 0*k + 0 - 2/9*k**4 + 2/9*k**w.
-2*k**2*(k - 2)*(k + 1)/9
Suppose 195*m + 18 = -3*n + 193*m, 0 = -3*n - 5*m - 54. Determine l, given that -1/2*l**n - 338 + 26*l = 0.
26
Let z(c) be the third derivative of c**6/240 - 61*c**5/60 - 21*c**4/2 - 2*c**2 - 53*c - 47. Factor z(o).
o*(o - 126)*(o + 4)/2
Let c = -33668 - -33671. Let z(q) be the second derivative of -3/4*q**5 + 29*q + 0*q**2 - 1/10*q**6 + 0 - 2*q**c - 2*q**4. Factor z(l).
-3*l*(l + 1)*(l + 2)**2
Let i(t) be the third derivative of t**5/75 - 22*t**4/3 - 442*t**3/15 + 31*t**2 + 5. Let i(g) = 0. Calculate g.
-1, 221
Let s(d) be the third derivative of -d**7/252 - 5*d**6/72 - 29*d**5/72 - 25*d**4/36 + d**2 + 1665. Factor s(l).
-5*l*(l + 1)*(l + 4)*(l + 5)/6
Let r be ((-483)/(-2))/(69/92). Let k = 324 - r. Determine c so that 346/5*c**k - 112*c**3 - 88/5*c + 8/5 + 294/5*c**4 = 0.
2/7, 1/3, 1
Factor n**5 - 55*n + 12*n**2 + 455 - 217 - 15*n**3 - 35*n**3 + 10*n**4 + 68*n**2 - 224.
(n - 1)**4*(n + 14)
Let f(k) be the third derivative of k**6/660 - 25*k**5/66 - 32*k**4/11 - 3667*k**2. Suppose f(r) = 0. What is r?
-3, 0, 128
Let k = 325 - 305. Factor 3*o**3 - 15*o**2 + 3*o**4 + 6*o + 4*o**3 + k*o**5 - 13*o**5 - 10*o**5 + 2*o**3.
-3*o*(o - 1)**3*(o + 2)
Suppose -2*p - i + 1384 = -4*i, 0 = -5*i - 10. Find m, given that -15*m**4 + 704*m**2 - p*m**2 - 2*m + 25*m**3 + 2*m - 25*m**5 = 0.
-1, -3/5, 0, 1
Suppose 0*n + 0 + 120*n**2 - 2/5*n**3 = 0. What is n?
0, 300
Let f(x) be the second derivative of x**5/80 - 257*x**4/48 + 5461*x**3/8 + 16641*x**2/8 + 1694*x. Suppose f(o) = 0. Calculate o.
-1, 129
Solve -46/3*d**3 - 22/3*d**4 - 2/3*d**5 + 22/3*d**2 + 0 + 16*d = 0 for d.
-8, -3, -1, 0, 1
Let t = -264 - -266. Factor -50*i + 995 - 4*i**2 - 1043 + 3*i**2 - i**t.
-2*(i + 1)*(i + 24)
Suppose -17*m + 541 = 592. Let s be 0 + 78/(-168) - m/4. Solve -s*j**3 - 96/7*j - 30/7*j**2 + 128/7 = 0 for j.
-8, 1
Determine r, given that -224 + 147*r**2 - 191*r - 221*r - 20*r**3 + 154*r**2 - 664*r**2 + 155*r**2 = 0.
-8, -7/5, -1
Let z = 149131/3 + -49710. Let z*m**3 - 23/3*m**2 - 121/3 + 143/3*m = 0. Calculate m.
1, 11
Let o(y) = 65*y**2 - 20915*y + 110. Let j(m) = 7*m**2 - 2324*m + 12. Let i(a) = -55*j(a) + 6*o(a). Factor i(z).
5*z*(z + 466)
Let g = 1676/27 + -44389/378. Let i = -384/7 - g. Factor i + 3/2*m**2 - 3/2*m - 1/2*m**3.
-(m - 1)**3/2
Let k(j) = 151*j - 602. Let g be k(4). Let u be 30/8 - 1/(-4). Solve 27*r**4 - g*r**3 + 2*r**3 - 5*r**2 - 22*r**u = 0.
-1, 0, 1
Let c(z) be the second derivative of -z**6/72 + 7*z**5/24 + 25*z**4/4 + 131*z**3/6 - 100*z. Let x(n) be the second derivative of c(n). Factor x(t).
-5*(t - 10)*(t + 3)
Suppose 0 = 2*o + 14*c - 11*c - 74, -5*o = 3*c - 176. Factor 28 + 32 + 10 - 4*w**2 - o.
-4*(w - 3)*(w + 3)
Let o be ((-6)/8)/((-23 + -7)/300). Let c(k) be the second derivative of -3/20*k**5 + 9/2*k**3 + o*k**2 + 3/4*k**4 - 29*k + 0. Let c(s) = 0. Calculate s.
-1, 5
Let l(r) be the second derivative of r**5/15 - 18*r**4 - 896*r**3/3 - 5440*r**2/3 + 548*r - 4. Factor l(g).
4*(g - 170)*(g + 4)**2/3
Factor 1/7*t**2 + 11/7 - 12/7*t.
(t - 11)*(t - 1)/7
Let q(u) be the third derivative of 2 + 0*u + 7/2*u**3 + 5/16*u**4 - 16*u**2 - 1/40*u**5. Suppose q(g) = 0. What is g?
-2, 7
Let k be 2 - -20*34/1020. Factor 2/3*m**2 - 2*m - k.
2*(m - 4)*(m + 1)/3
Let 30*r**3 + 2*r**3 - 4*r**4 + 7*r**4 + 99*r**2 - 345*r + 198 + 22*r**3 - 9*r**3 = 0. Calculate r.
-11, -6, 1
Suppose 3*d + 5*n - 17 = 0, -d + 6*d - 17 = 3*n. Let m(j) be the first derivative of 0*j + 1/16*j**d + 1/12*j**3 - 10 + 0*j**2. Factor m(f).
f**2*(f + 1)/4
Let k(l) = -l. Let p be k(-4). Suppose 0 = j - 4*r - 8, -3*j + 10*r - p = 12*r. Factor -4/5*n**3 + j*n**2 + 2/5 + 4/5*n - 2/5*n**4.
-2*(n - 1)*(n + 1)**3/5
Suppose -2*h - 2*h + 4*r = 0, 3*h - 7 = -4*r. Let w be (h - 165/(-42)) + 21/(-49). Factor 3/4*o**2 - w*o**3 + 27/4*o**4 + 0*o + 0.
3*o**2*(3*o - 1)**2/4
Let a be (78/(-24) - -4)/((-21)/(-28)). Let l be (a*(-2)/10)/((-1323)/1890). Solve -8/7 + l*q**3 - 2/7*q + 8/7*q**2 = 0.
-4, -1, 1
Let f = -81579 + 81579. Factor -3/2*z**5 + 0*z**2 - 3/2*z**4 + 3*z**3 + f*z + 0.
-3*z**3*(z - 1)*(z + 2)/2
Suppose -1 = -2*v + 3. Suppose -3*q = 7*j - 45, 3*j - 3020*q - 25 = -3022*q. Find z such that 12/5*z**v + 3*z**j + 0 - 3/5*z = 0.
-1, 0, 1/5
Let -2244*q**2 + 4480*q**2 - 2101*q**2 - 356 + 26*q**3 - 394 + 13*q**3 - 75*q + 3*q**4 = 0. What is q?
-5, 2
Suppose r + 2*z + 529 - 4203 = 0, 5*z = -5*r + 18395. Factor -n**2 + r*n + n**2 + 4*n**2 + n**2 - 3829*n.
5*n*(n - 29)
Solve -120*k**3 - 2157*k - 216*k**2 + 4078*k - 21*k**4 - 2017*k + 48 = 0 for k.
-2, 2/7
Let o be (-489)/(-21) - 2/7. Suppose o - 3 = 4*i. Determine x, given that 4*x**2 + x**3 - x**i - 2*x**3 - 5*x**3 + 3*x**5 = 0.
-2, 0, 1
Let s(v) be the second derivative of v**6/15 + 17*v**5/10 + 15*v**4 + 36*v**3 - 216*v**2 - 1034*v. Factor s(y).
2*(y - 1)*(y + 6)**3
Let f(o) be the first derivative of 1/2*o**6 - 81 + 0*o - 42/5*o**5 + 96*o**2 + 112*o**3 + 99/4*o**4. Factor f(r).
3*r*(r - 8)**2*(r + 1)**2
Let m(u) be the third derivative of u**7/1470 + 101*u**6/168 - 169*u**5/140 - 505*u**4/168 + 253*u**3/21 + 6465*u**2. Factor m(q).
(q - 1)**2*(q + 1)*(q + 506)/7
Let a(i) be the first derivative of i**6/120 - 37*i**5/180 + 2*i**4/9 + 110*i**3/3 - 34. Let d(l) be the third derivative of a(l). Solve d(n) = 0.
2/9, 8
Let x(a) = -2*a**3 - 203*a**2 + 2372*a - 6223. Let n(s) = 7*s**3 + 608*s**2 - 7117*s + 18678. Let v(q) = -3*n(q) - 8*x(q). Suppose v(w) = 0. What is w?
-50, 5
Let a(c) be the first derivative of c**5/20 + c**4/4 + 5*c**3/12 + c**2/4 - 482. Determine o so that a(o) = 0.
-2, -1, 0
Let s be -2 + 3 + (37 - -3). Factor 18*q + 3*q - 87*q**2 + 43*q**2 + 24 + s*q**2.
-3*(q - 8)*(q + 1)
Let u be (-57*(-288)/(-172368))/((1/(-1))/154). Factor 16/3 - 4/3*y**3 + 12*y**2 - u*y - 4/3*y**4.
-4*(y - 1)**3*(y + 4)/3
Factor 889350 + 3/2*o**2 - 2310*o.
3*(o - 770)**2/2
Let o(w) = -3*w**2 + 6894*w - 3953718. Let t(m) = 3*m**2 - 6895*m + 3953719. Let v(c) = 7*o(c) + 6*t(c). Factor v(z).
-3*(z - 1148)**2
Let w = 219 - 230. Let c(s) = 4*s**2 - 14*s - 40. Let z(t) = 21*t**2 - 69*t - 200. Let o(n) = w*c(n) + 2*z(n). What is h in o(h) = 0?
-2, 10
Let w(s) be the first derivative of -s**4/12 - 392*s**3/3 - 783*s**2/2 - 1174*s/3 + 5135. Factor w(u).
-(u + 1)**2*(u + 1174)/3
Let w = 923990617/8 + -5129071458241/44408. Let c = w + 3/3172. Suppose -c*m + 8/7 + 162
|
{
"pile_set_name": "DM Mathematics"
}
|
-1250000
What is 0.20223 rounded to 3 dps?
0.202
Round -13600000 to the nearest one million.
-14000000
Round -260.609 to the nearest 10.
-260
Round -0.0000100115 to seven dps.
-0.00001
Round 0.0162777 to three decimal places.
0.016
Round -0.000000084 to seven dps.
-0.0000001
What is 86.9 rounded to the nearest integer?
87
Round -0.091521 to two dps.
-0.09
Round -0.0041094 to five dps.
-0.00411
Round 0.02214 to three dps.
0.022
What is 0.0019854 rounded to 5 decimal places?
0.00199
What is 0.699 rounded to 1 dp?
0.7
What is 0.00005982 rounded to six decimal places?
0.00006
Round 0.04567 to 3 dps.
0.046
What is -16.9263 rounded to the nearest 10?
-20
Round 506820 to the nearest ten thousand.
510000
What is -465.68 rounded to the nearest ten?
-470
What is 0.00006762 rounded to six decimal places?
0.000068
What is -0.006439 rounded to four decimal places?
-0.0064
Round 9.45 to the nearest integer.
9
Round -0.0642 to two dps.
-0.06
What is -0.001553 rounded to five decimal places?
-0.00155
Round 0.0291901 to three decimal places.
0.029
What is 1902 rounded to the nearest one hundred?
1900
What is -339000 rounded to the nearest 10000?
-340000
Round 0.0217373 to three dps.
0.022
Round -2213600 to the nearest 10000.
-2210000
What is -0.003309 rounded to 3 dps?
-0.003
What is 19.6024 rounded to one dp?
19.6
What is 680000 rounded to the nearest one hundred thousand?
700000
What is -8720000 rounded to the nearest one hundred thousand?
-8700000
Round -0.02017 to 3 decimal places.
-0.02
Round 0.1319 to three dps.
0.132
What is -25825000 rounded to the nearest 1000000?
-26000000
Round 49226 to the nearest one thousand.
49000
What is -0.0001753 rounded to six dps?
-0.000175
What is -0.0604 rounded to 2 dps?
-0.06
What is -36.493 rounded to the nearest 10?
-40
What is 0.00073 rounded to three decimal places?
0.001
What is -8.6 rounded to the nearest 10?
-10
Round -0.69766 to one decimal place.
-0.7
Round 217036 to the nearest 10000.
220000
What is -0.000211 rounded to four dps?
-0.0002
What is 208990 rounded to the nearest ten thousand?
210000
What is -166090 rounded to the nearest 10000?
-170000
What is 0.000007999 rounded to six dps?
0.000008
What is 0.0719 rounded to 2 dps?
0.07
What is -0.00009777 rounded to six decimal places?
-0.000098
Round -214.17 to the nearest 10.
-210
What is 75933 rounded to the nearest 1000?
76000
What is -1600 rounded to the nearest one hundred?
-1600
What is -88590 rounded to the nearest one hundred thousand?
-100000
Round -121400000 to the nearest 1000000.
-121000000
Round -0.0006877 to five dps.
-0.00069
What is -5.847 rounded to 1 decimal place?
-5.8
Round -0.00000110412 to seven decimal places.
-0.0000011
Round -0.0079968 to five decimal places.
-0.008
What is -6728 rounded to the nearest 100?
-6700
Round 15190 to the nearest 10000.
20000
Round 4484.6 to the nearest 100.
4500
Round -0.00029875 to six decimal places.
-0.000299
What is 98220 rounded to the nearest ten thousand?
100000
Round 123.02 to the nearest ten.
120
What is -0.001754 rounded to four dps?
-0.0018
What is 0.001088 rounded to five dps?
0.00109
Round 0.00000831 to five decimal places.
0.00001
What is 0.57944 rounded to three decimal places?
0.579
Round 0.00003419 to seven dps.
0.0000342
Round -90.66 to the nearest one hundred.
-100
Round -0.027085 to 3 decimal places.
-0.027
Round 132.566 to 0 decimal places.
133
Round 0.0478 to two decimal places.
0.05
Round -3608000 to the nearest one hundred thousand.
-3600000
Round -0.14395 to three decimal places.
-0.144
Round -0.0000012785 to 7 decimal places.
-0.0000013
What is -23370 rounded to the nearest ten thousand?
-20000
What is -27670 rounded to the nearest 10000?
-30000
Round -1137.08 to the nearest 10.
-1140
What is -0.0000811 rounded to five dps?
-0.00008
What is -48.59 rounded to the nearest integer?
-49
Round -3.955 to the nearest integer.
-4
What is 87810 rounded to the nearest 1000?
88000
What is 23.02 rounded to the nearest 10?
20
What is -0.38651 rounded to two decimal places?
-0.39
What is -0.0000002651 rounded to seven decimal places?
-0.0000003
What is -0.002629 rounded to three decimal places?
-0.003
What is -0.28095 rounded to three dps?
-0.281
What is 1.031 rounded to 1 dp?
1
Round 1820000 to the nearest 10000.
1820000
What is -0.207 rounded to one decimal place?
-0.2
What is -1237500 rounded to the nearest ten thousand?
-1240000
Round -0.04285 to three dps.
-0.043
What is -3.8816 rounded to 1 dp?
-3.9
Round -103.422 to zero decimal places.
-103
What is -237.256 rounded to zero decimal places?
-237
What is 0.0044475 rounded to four dps?
0.0044
What is 3680 rounded to the nearest 1000?
4000
Round 0.0026247 to 5 decimal places.
0.00262
Round -10.986 to the nearest integer.
-11
Round -0.11934 to 2 dps.
-0.12
What is 12741 rounded to the nearest 10000?
10000
Round 0.0000059351 to seven dps.
0.0000059
Round 0.00948 to three decimal places.
0.009
Round -58.2 to the nearest 10.
-60
Round 0.0006504 to 4 dps.
0.0007
Round -0.055567 to 4 dps.
-0.0556
Round -778610 to the nearest 100000.
-800000
Round 0.0000176 to six decimal places.
0.000018
What is -5480 rounded to the nearest one thousand?
-5000
What is -0.0014091 rounded to 5 decimal places?
-0.00141
Round -4860 to the nearest 1000.
-5000
Round -21010 to the nearest one thousand.
-21000
What is 0.05713 rounded to three decimal places?
0.057
Round -5420 to the nearest one thousand.
-5000
Round -0.00007524 to six decimal places.
-0.000075
Round -1766200 to the nearest one hundred thousand.
-1800000
Round -38.41 to the nearest ten.
-40
What is 0.00015194 rounded to 6 dps?
0.000152
What is 250863000 rounded to the nearest one million?
251000000
What is 169.71 rounded to the nearest ten?
170
What is -0.09599 rounded to 3 dps?
-0.096
Round -0.000032573 to six decimal places.
-0.000033
Round -578.62 to the nearest one hundred.
-600
Round 0.00001608 to 6 dps.
0.000016
Round 522200 to the nearest one hundred thousand.
500000
Round -3.797 to 1 dp.
-3.8
Round 0.11835 to three decimal places.
0.118
Round -317700 to the nearest ten thousand.
-320000
What is 0.00000008764 rounded to seven dps?
0.0000001
What is 84340 rounded to the nearest 10000?
80000
What is -631422 rounded to the nearest one hundred thousand?
-600000
Round 0.0002318 to 5 dps.
0.00023
Round -6.896 to 1 dp.
-6.9
What is 11.9598 rounded to the nearest integer?
12
What is -0.00087838 rounded to 5 dps?
-0.00088
What is 0.5286 rounded to 2 dps?
0.53
What is 184.3 rounded to zero decimal places?
184
What is 0.03253 rounded to 2 decimal places?
0.03
What is 2.51889 rounded to one decimal place?
2.5
Round 97.75 to the nearest ten.
100
What is 7.58 rounded to one decimal place?
7.6
What is 0.05805 rounded to three decimal places?
0.058
Round 81503 to the nearest one thousand.
82000
Round -13.424 to zero dps.
-13
What is -58.31 rounded to the nearest 10?
-60
What is -1884 rounded to the nearest 100?
-1900
Round 17600000 to the nearest 1000000.
18000000
What is -0.00000047854 rounded to 7 dps?
-0.0000005
Round 0.0000005284 to seven dps.
0.0000005
Round 12.052 to zero dps.
12
What is 112400000 rounded to the nearest one million?
112000000
Round 20.7364 to zero dps.
21
What is 59270000 rounded to the nearest 100000?
59300000
What is -0.00173922 rounded to 6 decimal places?
-0.001739
What is -0.0002956 rounded to five decimal places?
-0.0003
What is -7118.5 rounded to the nearest 1000?
-7000
What is -0.00229 rounded to 3 decimal places?
-0.002
What is 77.7 rounded to the nearest integer?
78
Round -2.546 to two dps.
-2.55
Round -6.06 to the nearest integer.
-6
Round -0.432 to one dp.
-0.4
Round 0.001736 to 4 dps.
0.0017
Round -0.082544 to three dps.
-0.083
Round -0.00001055 to seven dps.
-0.0000106
Round -76.5 to the nearest integer.
-77
Round 445.17 to 0 decimal places.
445
What is 0.0048581 rounded to 3 decimal places?
0.005
What is -0.000846 rounded to 4 decimal places?
-0.0008
What is 3069.5 rounded to the nearest one thousand?
3000
What is -1.57425 rounded to 1 decimal place?
-1.6
Round 0.027791 to 3 decimal places.
0.028
What is 0.0001648 rounded to six dps?
0.000165
What is -475.62 rounded to the nearest one hundred?
-500
Round 0.0000009082 to seven decimal places.
0.0000009
What is -6.1682 rounded
|
{
"pile_set_name": "DM Mathematics"
}
|
) to base 16
-835
-2141 (base 5) to base 3
-101222
What is 347 (base 10) in base 15?
182
-456 (base 11) to base 10
-545
Convert 1077 (base 11) to base 8.
2607
Convert 1c0c3 (base 15) to base 9.
148223
20011000 (base 3) to base 15
14dc
What is 1464 (base 8) in base 7?
2251
What is 29a (base 14) in base 5?
4103
22213 (base 5) to base 7
4354
What is 994 (base 15) in base 5?
32124
What is 36360 (base 8) in base 3?
210101210
What is 3789 (base 15) in base 2?
10111000110101
What is 40423 (base 7) in base 12?
5821
-125325 (base 6) to base 14
-4309
-235a6 (base 11) to base 9
-51563
Convert 101a9 (base 14) to base 10.
38761
111011001 (base 2) to base 4
13121
What is -19b6 (base 16) in base 8?
-14666
Convert -55232 (base 6) to base 9.
-11442
What is -6303 (base 7) in base 6?
-14120
Convert -2d5 (base 16) to base 12.
-505
Convert -3013300 (base 4) to base 12.
-7494
What is 100010011111 (base 2) in base 16?
89f
What is -10101011111 (base 2) in base 6?
-10211
-740 (base 8) to base 7
-1254
1200 (base 3) to base 14
33
12031211 (base 4) to base 5
1303240
Convert 3e9 (base 15) to base 8.
1576
-510325 (base 6) to base 4
-21311231
-163045 (base 7) to base 13
-118c9
What is -2346 (base 16) in base 15?
-2a20
What is 1466 (base 8) in base 11?
688
-101 (base 8) to base 10
-65
Convert -264b (base 12) to base 9.
-6005
What is -12001222 (base 3) in base 8?
-7162
20413 (base 9) to base 5
412313
102100022 (base 3) to base 14
302a
What is -7109 (base 12) in base 10?
-12249
What is 22001300 (base 4) in base 3?
2002100012
-492b (base 16) to base 10
-18731
-187e (base 15) to base 16
-14ae
-5c8 (base 13) to base 7
-2641
What is 244152 (base 6) in base 12?
10658
-1682 (base 9) to base 16
-509
What is 4eba (base 16) in base 7?
112521
Convert -2710 (base 9) to base 5.
-31114
-1793 (base 14) to base 15
-13d0
Convert 1a (base 15) to base 13.
1c
3762 (base 8) to base 16
7f2
What is -1112111122 (base 3) in base 11?
-20807
What is -10b22 (base 12) in base 10?
-22346
Convert -2ac (base 16) to base 15.
-309
What is -152556 (base 7) in base 3?
-1111212010
Convert 101354 (base 6) to base 3.
102011021
-200212 (base 3) to base 9
-625
Convert -7286 (base 12) to base 6.
-133450
What is 156 (base 16) in base 11?
291
-2294 (base 10) to base 7
-6455
464a (base 12) to base 9
11664
Convert -22654 (base 9) to base 12.
-88b7
-a06 (base 12) to base 16
-5a6
-31053 (base 9) to base 8
-47754
Convert -230 (base 15) to base 13.
-2c1
What is 112651 (base 7) in base 14?
7528
Convert -7a99 (base 11) to base 2.
-10100110001011
-188 (base 9) to base 7
-320
Convert -2002 (base 5) to base 2.
-11111100
-266 (base 11) to base 7
-626
What is 10001001110010 (base 2) in base 3?
110002121
-12827 (base 9) to base 13
-3c58
What is -1279 (base 14) in base 11?
-2489
7804 (base 10) to base 14
2bb6
What is -15869 (base 12) in base 11?
-20aa7
Convert -7201 (base 11) to base 10.
-9560
Convert -2112102 (base 3) to base 11.
-142a
33676 (base 9) to base 5
1204200
Convert 4210 (base 11) to base 6.
41453
What is -1d99 (base 15) in base 8?
-14454
What is -4266 (base 10) in base 5?
-114031
What is 11010010110 (base 2) in base 6?
11450
What is 658c (base 14) in base 4?
10102200
-111110 (base 2) to base 7
-116
Convert -202201001 (base 3) to base 7.
-62002
What is -10300023 (base 4) in base 9?
-28630
What is -5242 (base 9) in base 7?
-14132
10121220 (base 3) to base 15
bb3
Convert -65011 (base 7) to base 3.
-211010101
What is 211200221 (base 3) in base 5?
1012144
-1a5 (base 11) to base 8
-354
Convert 3288 (base 11) to base 3.
12221102
Convert 3b22 (base 16) to base 15.
4743
Convert -3023 (base 4) to base 7.
-410
What is dd7 (base 15) in base 7?
12055
What is 10111110 (base 2) in base 6?
514
Convert -17a03 (base 11) to base 2.
-110001001010011
What is -14681 (base 9) in base 3?
-111202201
What is -101010001011100 (base 2) in base 12?
-105b8
8335 (base 11) to base 7
44133
577 (base 12) to base 15
391
30267 (base 8) to base 6
133423
1819 (base 13) to base 5
103241
Convert -23133 (base 5) to base 8.
-3204
-ae7 (base 16) to base 4
-223213
What is -2103 (base 5) in base 13?
-185
Convert -3231003 (base 4) to base 8.
-35503
Convert -15415 (base 6) to base 5.
-40111
-1a59 (base 15) to base 2
-1011001001101
-1100100111100001 (base 2) to base 5
-3123211
1183 (base 10) to base 2
10010011111
Convert 2021020 (base 4) to base 11.
6659
Convert -3533 (base 7) to base 3.
-1210002
What is 453 (base 8) in base 2?
100101011
-1101011010 (base 2) to base 12
-5b6
What is -11839 (base 15) in base 5?
-3241404
-29b6 (base 14) to base 8
-16364
What is 3618 (base 9) in base 8?
5202
Convert -31252 (base 6) to base 12.
-2528
Convert 113203 (base 6) to base 11.
73a5
Convert 3433 (base 8) to base 13.
a9c
-1053 (base 7) to base 11
-317
Convert -266 (base 8) to base 11.
-156
What is -21003 (base 4) in base 5?
-4304
What is -441 (base 8) in base 10?
-289
Convert -a0aa (base 11) to base 3.
-200102102
8d (base 16) to base 15
96
What is -1441 (base 12) in base 14?
-c01
3a67 (base 16) to base 7
61406
Convert -132120 (base 4) to base 7.
-5445
-2144 (base 9) to base 11
-1206
Convert -761 (base 8) to base 2.
-111110001
What is -3a8 (base 15) in base 10?
-833
Convert -4454 (base 9) to base 12.
-1aa1
133302 (base 4) to base 16
7f2
-4950 (base 14) to base 9
-18513
What is 790 (base 13) in base 16?
514
Convert -93b (base 15) to base 12.
-1255
What is -3a6 (base 11) in base 15?
-21e
-285 (base 10) to base 14
-165
-17526 (base 14) to base 5
-3334023
-448 (base 10) to base 14
-240
143301 (base 5) to base 11
4624
Convert -39a (base 12) to base 3.
-202101
2178 (base 9) to base 10
1610
-30022 (base 4) to base 5
-11103
What is -1022010 (base 3) in base 14?
-4ba
-3467 (base 9) to base 11
-1a29
Convert -3851 (base 9) to base 6.
-21201
Convert -1303 (base 4) to base 6.
-311
What is 134 (base 8) in base 5?
332
What is 1072 (base 9) in base 10?
794
What is 1b196 (base 12) in base 11?
28066
What is 133222 (base 5) in base 3?
21110101
-242325 (base 7) to base 16
-ac26
Convert 3062 (base 8) to base 10.
1586
-50631 (base 7) to base 6
-133013
What is 11100110111000 (base 2) in base 14?
5556
665 (base 8) to base 4
12311
What is -30301322 (base 4) in base 13?
-1aa98
Convert 62a9 (base 16) to base 2.
110001010101001
Convert -841e (base 16) to base 10.
-33822
13123 (base 5) to base 9
1373
Convert 130013 (base 4) to base 7.
5150
51103 (base 7) to base 9
18007
Convert -110111111101111 (base 2) to base 15.
-8755
Convert 330201 (base 4) to base 15.
1233
-85265 (base 10) to base 8
-246421
Convert 69a (base 13) to base 10.
1141
What is -2028 (base 10) in base 6?
-13220
Convert 2314 (base 14) to base 15.
1c14
Convert 1120012021 (base 3) to base 4.
13200220
What is 25aa0 (base 11) in base 10?
37257
Convert 20020012 (base 3) to base 9.
6205
What is 2323101 (base 4) in base 12?
6b29
7427 (base 12) to base 16
319f
Convert 1bdd (base 14) to base 8.
11747
Convert -224 (base 5) to base 14.
-48
What is 1985 (base 13) in base 10?
3827
Convert -200222010 (base 3) to base 10.
-13827
What is 7041 (base 10) in base 12?
40a9
1132 (base 6) to base 12
1a8
-111111001001011 (base 2) to base 5
-2013311
Convert 12020000 (base 3) to base 12.
2253
Convert 333 (base 16) to base 11.
685
30040 (base 6) to base 5
111122
Convert 7928 (base 10) to base 5.
223203
What is -175 (base 11) in base 5?
-1303
What is -15c (base 15) in base 8?
-470
3325 (base 15) to base 11
8160
What is -1000100101011 (base 2) in base 4?
-1010223
2730 (base 11) to base 4
313112
Convert 788 (base 14) to base 3.
2001021
9878 (base 11) to base 7
52665
2550 (base 7) to base 9
1283
Convert 1939 (base 10) to base 16.
793
-595d (base 14) to base 11
-10772
What is -22432 (base 5) in base 6?
-11253
What is -3429 (base 12) in base 3?
-21221120
Convert 1002 (base 6) to base 8.
332
Convert -22173 (base 8) to base 14.
-3591
What is 113302 (base 4) in base 3?
2002101
5080 (base 14) to base 13
63b0
Convert -854a (base 15) to base 14.
-a3bd
2a08 (base 11) to base 4
330220
Convert 101114 (base 5) to base 16.
cd4
What is -35011 (base 6) in base 9?
-6737
Convert 2209 (base 13) to base 8.
11205
Convert -112451 (base 6) to base 16.
-25cf
69b (base 14) to base 12
915
What is 1001000110 (base 2) in base 11?
48a
1111122 (base 4) to base 14
1dc6
2702 (base 10) to base 8
5216
What
|
{
"pile_set_name": "DM Mathematics"
}
|
6/27)/((0 + 1)/9). Suppose -f*z - 595 = -4*x + z, x = z + p. What is the hundreds digit of x?
1
Let h(j) = -4*j**2 + 42*j + 28. Let r(a) = -9*a**2 + 85*a + 58. Let t(u) = 7*h(u) - 3*r(u). What is the tens digit of t(18)?
0
Let d be (-90)/(-40) - 3/(-4). Suppose -3300 = -3*i + d*k, -4*i + 12*k + 4376 = 16*k. What is the tens digit of i?
9
Let n(g) = -24*g**3 - 10*g**2 - 14*g - 225. What is the tens digit of n(-9)?
8
Let h = 382 + -382. Suppose 2*p - 1040 - 196 = h. What is the tens digit of p?
1
Let b(g) = 3*g**2 - 69*g + 24. Let h be b(30). Let m = h - 220. What is the tens digit of m?
3
Suppose 0 = 2*y - 5*x + x - 13420, 3*y + x = 20172. What is the thousands digit of y?
6
Suppose -5*d = 2*p - p - 16, -5*p = 5*d + 20. Let o = 19 + p. Suppose -2*a = -22 + o. What is the units digit of a?
6
Let q(x) = 53*x**2 - 4*x + 27. Let i be q(4). Suppose i = 4*u - 2237. What is the tens digit of u?
7
Suppose 3*y + l - 79222 = 0, 0 = 8*y - 13*y + 2*l + 132033. What is the ten thousands digit of y?
2
Let f(h) = -h - h**2 + 2 - 1 + 2*h**2 + 2*h. Let l(n) = 3*n**2 + 1. Let y(x) = 4*f(x) - l(x). What is the tens digit of y(-11)?
8
Suppose 18*h - 7*h - 44 = 0. Suppose h*p + 2034 = j - 923, 3697 = -5*p + j. What is the units digit of (12/10)/((-2968)/p - 4)?
1
Let p = 31559 + -19934. What is the units digit of p?
5
Let y(z) = 3*z**2 + 5*z + 12. Let c(i) = -i**2 + 18*i + 9. Let u be c(18). Suppose -v = 5, 4*q + u = -0*q + 3*v. What is the units digit of y(q)?
0
Let w = 13788 - 288. What is the units digit of w?
0
Let z be (-6)/(-21) + -38*1/(-14). Let h be (12/14)/((-6 + z)/21). What is the tens digit of (26/h)/(1/(-3))?
1
Suppose 0 = -0*d - 4*d - 216. Suppose 3*s - 237 = 3*b, 116 = -5*b + 2*s - 270. Let j = d - b. What is the units digit of j?
2
Let c = -914 - -553. Let q(p) = -42*p - 69. Let h be q(12). Let o = c - h. What is the tens digit of o?
1
Let u(r) = r**3 + 12*r**2 + 14*r + 4. Suppose -5*z = q + 68 - 19, 0 = -z + q - 11. What is the units digit of u(z)?
4
Let c = 21 + -19. Suppose -2*u - 28 = -c*h, 0 = 4*u + 3*h - h + 80. Let m = 35 - u. What is the units digit of m?
3
Suppose -1188 = 396*q - 405*q. What is the tens digit of q?
3
Let f(h) = h**2 + 3*h - 5. Let b be f(-6). Suppose -56*o - 59*o - 1599 = -128*o. Suppose 14*n - o = b*n. What is the hundreds digit of n?
1
Suppose 3*r + 126 = 3*z, 0 = 3*r - r - 5*z + 81. Let o = r + 53. Let f = o - -78. What is the tens digit of f?
8
Let f(g) = g**3 + 12. Let u be f(0). Suppose 6*n - u*n + 72 = 0. What is the tens digit of n?
1
Let y(i) = 16*i**2 - 40*i - 618. What is the tens digit of y(-17)?
8
What is the hundreds digit of ((-770)/5)/((-16)/256)?
4
Let s = 4 + -2. Suppose g + s = 7. Suppose g*k - 60 = -z, -z - 5*k - 80 = -4*z. What is the tens digit of z?
3
Let x(b) = 53*b**2 + 7*b - 145. What is the hundreds digit of x(8)?
3
Let m(p) = p**3 + 10*p**2 - 16*p - 7. Let d be m(-11). Suppose 2*l + d = 12. What is the units digit of (29 - 2)/(l/(-48))?
2
Let r(z) = -2*z**3 - 13*z**2 - 12*z + 17. What is the units digit of r(-13)?
0
Suppose -3205781 = 8*v - 44*v - 1293965. What is the ten thousands digit of v?
5
Let f(o) be the third derivative of 73*o**4/24 + 37*o**3/6 - 4*o**2. Let r be f(11). Suppose 10*u = 2*u + r. What is the tens digit of u?
0
Let m = 6483 - -9024. What is the thousands digit of m?
5
Let h = -33363 - -52578. What is the ten thousands digit of h?
1
Suppose 2*w + z - 7561 = 0, -2*w - 4*z + 1404 + 6178 = 0. What is the thousands digit of w?
3
Let o = 134785 - 73716. What is the units digit of o?
9
Let g = -14 - -12. Let y be 6/g - (1 + -5). What is the tens digit of 3 - (2 + y) - -29?
2
Suppose -4*r + 3*z - 254 = r, -5*z + 15 = 0. Let f = 120 + r. What is the tens digit of f?
7
What is the tens digit of -8 + -1 - (-2790109)/147 - 2/(-3)?
7
Suppose -8 = -2*j + 8. Let f(g) = -g**2 + 8*g - 16. Let s be f(j). What is the units digit of (51 + s)*18/7?
0
What is the units digit of (-44670428)/(-838)*6/4?
9
Suppose 2*s + 0*s - 77 = 5*c, 4*c = s - 61. Let f be (-18)/(-3) + c/5. Suppose 0*t = -3*i + f*t + 450, -5*t + 426 = 3*i. What is the units digit of i?
7
Suppose 2*l - 4692 = -3*s - l, 4*l - 7821 = -5*s. Suppose 13*n - s - 4389 = 0. What is the tens digit of n?
5
Suppose 16 = -2*p + 12, -2*q + 5*p + 16 = 0. Suppose q*l = 4*h + 5*l - 222, -5*l + 99 = 2*h. What is the units digit of h?
7
Let x be (-11)/(-4) - 5/(-20). Suppose x*p - 1569 = 2*s, 4*s + 4066 = 5*p + 1449. Suppose p = 11*o - 788. What is the hundreds digit of o?
1
Let i = 47326 - 32773. What is the tens digit of i?
5
What is the ten thousands digit of (-5)/2 - (-362299581)/5278 - (-2)/13?
6
Let o = -7520 - -11865. What is the hundreds digit of o?
3
Let z = 75 - 87. Let k be ((-28990)/z)/13 + (-1)/(-6). Let x = k + -99. What is the tens digit of x?
8
Suppose -7*r + 3*r + 16 = 0. Suppose 0 = 3*a - a + r*m - 940, m = 4. Suppose 6*l - a = -24. What is the units digit of l?
3
Suppose -6*v = 4 - 4. Suppose v = 2*r + 3 - 13. Suppose -2*c - d = -13, 4*d - 7 - r = -3*c. What is the units digit of c?
8
Suppose -4*h = x - 82 + 88, 0 = 5*x + 3*h - 21. Suppose x*g = 3*g + 3465. What is the hundreds digit of g?
1
What is the tens digit of 6/(3 - 6) + -9*-3*215?
0
Suppose 44 - 119 = -5*w. Let i = 2 - w. Let d = 17 + i. What is the units digit of d?
4
Let t(g) = 1064*g**2 + 328*g + 11. What is the units digit of t(-9)?
3
Suppose -83*w - 150*w - 326*w = -20178223. What is the units digit of w?
7
Let s(l) = -5*l + 18. Let w be s(3). Suppose 0 = w*x - 795 - 1113. What is the hundreds digit of x?
6
Suppose 26*l + 14558 = 202850. What is the units digit of l?
2
Let z be (1*-4)/(0 - (-20)/(-55)). Suppose m - z = 125. What is the tens digit of m?
3
What is the hundreds digit of 14/(-84)*(6 + -22734) + (-1 - 5)?
7
Let s(j) = j**3 + 18*j**2 + 19*j + 11. Let p be s(-18). Let o = p + 607. What is the tens digit of o?
7
Let m = -965 - -1553. Suppose 6*c = 13*c + m. What is the units digit of (-15)/15*(c - -1)?
3
Suppose -5*z + 25860 = 5*j, -24*z - j = -22*z - 10339. What is the tens digit of z?
6
Let w(s) = -12*s**2 - 3. Let k = -36 + 39. Let l be w(k). Let q = 165 + l. What is the tens digit of q?
5
Let g(z) = 4*z**2 - 62*z - 110. Let v(p) = -p**2 + 12*p + 22. Let a(i) = -2*g(i) - 11*v(i). What is the units digit of a(-4)?
8
Let z be -85 + (5 - 1)/(-4). Let f = z - -92. Suppose -f*h + 7*h = 19. What is the tens digit of h?
1
Suppose 17*m + 493611 = -10*m + 1449006. What is the hundreds digit of m?
3
Let i(k) = -21*k**2 - 1. Let n = 3 - 1. Let c be i(n). Let t = -39 - c. What is the tens digit of t?
4
Let r = 17206 + -11822. Suppose -12*d + 1504 = -r. What is the hundreds digit of d?
5
Let v = -1845 + 5789. Suppose 24*m + v = 32*m. Suppose m = 16*i - 979. What is the units digit of i?
2
Let i be 5/(-15)*(-12)/(1 - -1). Suppose -i*y = 4*s - 584, 296 = 2*y - y + s. What is the tens digit of y?
0
Let p(m) = -5*m**3 + 7*m + 1. Let v = -6 + 11. Suppose -4*o + 7*o = -15, v*s = o - 10. What is the tens digit of p(s)?
1
What is the tens digit of (66/(-8))/33*(-5)/((-5)/(-71228))?
0
Let c(a) = 10*a + 6. Let w be c(-3). Let m = w + 27. Suppose -5*o + 10 = 0, -m*r + 7*o - 2*o = -548. What is the hundreds digit of r?
1
Let a(c) = -c**3 - 4*c**2 - 5*c - 3. Let p be a(-3). Suppose p*l - l = -s + 633, -4*l - 5*s = -1269. What is the hundreds digit of l?
3
Let i = -5770 - -5769. Let l be 300 - 2/(4 + -2). Let o = l + i. What is the tens digit of o?
9
Let q = -9 - 10. Let i = 25 + q. What is the units digit of ((-2)/i)/(13/(-117))?
3
Suppose -7*j - 32 + 81 = 0. Suppose 0 = -j*w - 0*w + 2331. What is the units digit of w?
3
Suppose -151*f + 9447187 = 546794. What is the tens digit of f?
4
Let z(r) = 357*r**3 + 3*r**2 - 4*r - 6. What is the thousands digit of z(3)?
9
Suppose 5*u = -2886*m + 2881*m + 96005, 0 = 5*u + 4*m - 96003. What is the thousands digit of u?
9
Let v(w) = -2*w - 30. Let t be v(-16). Suppose -5*q - 3*j - 7 = 0, -2*q + t*j + 6 = j. What is the tens digit of 7*(q + (-178)/(-14))?
9
Let d = 6 + -3. Suppose 7*u = 10*u - 2*s - 6846, 0 = -d*u + 5*s + 6837. Suppose -436 + u = 14*w. What is the units digit of w?
2
Suppose 78*z - 56112 = 26*z + 26984. What is the units digit of z?
8
Let g be (0 - -4 - 4) + 0 + 3. Suppose g*m + 3*j + 2*j = 96, 2*j = 0. Let h = -22 + m.
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the remainder when 1332 is divided by 265?
7
What is the remainder when 754 is divided by 35?
19
Calculate the remainder when 5327 is divided by 48.
47
Calculate the remainder when 2862 is divided by 8.
6
Calculate the remainder when 7253 is divided by 18.
17
Calculate the remainder when 117 is divided by 21.
12
Calculate the remainder when 156 is divided by 36.
12
What is the remainder when 91 is divided by 19?
15
Calculate the remainder when 456 is divided by 10.
6
What is the remainder when 1539 is divided by 55?
54
What is the remainder when 174 is divided by 76?
22
Calculate the remainder when 1754 is divided by 347.
19
What is the remainder when 4234 is divided by 121?
120
What is the remainder when 257 is divided by 37?
35
What is the remainder when 432 is divided by 62?
60
What is the remainder when 85 is divided by 44?
41
What is the remainder when 196 is divided by 96?
4
What is the remainder when 395 is divided by 2?
1
Calculate the remainder when 111 is divided by 23.
19
Calculate the remainder when 70 is divided by 7.
0
What is the remainder when 80 is divided by 12?
8
Calculate the remainder when 255 is divided by 64.
63
What is the remainder when 732 is divided by 246?
240
What is the remainder when 671 is divided by 96?
95
What is the remainder when 534 is divided by 256?
22
What is the remainder when 1433 is divided by 37?
27
Calculate the remainder when 269 is divided by 73.
50
What is the remainder when 1543 is divided by 141?
133
What is the remainder when 110 is divided by 35?
5
Calculate the remainder when 65 is divided by 47.
18
What is the remainder when 48 is divided by 28?
20
What is the remainder when 27 is divided by 7?
6
What is the remainder when 2962 is divided by 19?
17
What is the remainder when 52 is divided by 16?
4
Calculate the remainder when 134 is divided by 24.
14
What is the remainder when 92 is divided by 47?
45
What is the remainder when 359 is divided by 3?
2
What is the remainder when 114 is divided by 23?
22
What is the remainder when 196 is divided by 28?
0
Calculate the remainder when 183 is divided by 16.
7
Calculate the remainder when 1583 is divided by 488.
119
What is the remainder when 10713 is divided by 188?
185
Calculate the remainder when 1349 is divided by 8.
5
Calculate the remainder when 574 is divided by 362.
212
Calculate the remainder when 831 is divided by 831.
0
Calculate the remainder when 1501 is divided by 357.
73
Calculate the remainder when 234 is divided by 80.
74
What is the remainder when 1425 is divided by 23?
22
What is the remainder when 250 is divided by 3?
1
Calculate the remainder when 1585 is divided by 513.
46
What is the remainder when 73 is divided by 31?
11
What is the remainder when 128 is divided by 28?
16
Calculate the remainder when 931 is divided by 13.
8
What is the remainder when 125 is divided by 66?
59
What is the remainder when 47 is divided by 29?
18
What is the remainder when 414 is divided by 95?
34
What is the remainder when 52 is divided by 24?
4
What is the remainder when 2804 is divided by 4?
0
What is the remainder when 226 is divided by 93?
40
Calculate the remainder when 242 is divided by 114.
14
Calculate the remainder when 1047 is divided by 75.
72
Calculate the remainder when 2055 is divided by 9.
3
Calculate the remainder when 1160 is divided by 51.
38
Calculate the remainder when 634 is divided by 210.
4
Calculate the remainder when 5256 is divided by 2623.
10
Calculate the remainder when 251 is divided by 143.
108
Calculate the remainder when 53 is divided by 30.
23
What is the remainder when 51 is divided by 7?
2
What is the remainder when 133 is divided by 41?
10
What is the remainder when 422 is divided by 88?
70
Calculate the remainder when 5824 is divided by 201.
196
What is the remainder when 31 is divided by 23?
8
What is the remainder when 183 is divided by 8?
7
What is the remainder when 130 is divided by 35?
25
Calculate the remainder when 264 is divided by 125.
14
Calculate the remainder when 62 is divided by 5.
2
Calculate the remainder when 894 is divided by 25.
19
Calculate the remainder when 2825 is divided by 28.
25
What is the remainder when 205 is divided by 83?
39
What is the remainder when 41 is divided by 30?
11
Calculate the remainder when 335 is divided by 59.
40
What is the remainder when 83 is divided by 6?
5
Calculate the remainder when 8474 is divided by 446.
0
What is the remainder when 776 is divided by 82?
38
What is the remainder when 2012 is divided by 83?
20
Calculate the remainder when 678 is divided by 75.
3
Calculate the remainder when 1150 is divided by 372.
34
Calculate the remainder when 780 is divided by 87.
84
What is the remainder when 230 is divided by 8?
6
Calculate the remainder when 332 is divided by 71.
48
What is the remainder when 157 is divided by 56?
45
Calculate the remainder when 180 is divided by 41.
16
Calculate the remainder when 53 is divided by 22.
9
Calculate the remainder when 1549 is divided by 62.
61
What is the remainder when 3202 is divided by 67?
53
What is the remainder when 27 is divided by 15?
12
What is the remainder when 1855 is divided by 10?
5
What is the remainder when 1228 is divided by 10?
8
What is the remainder when 130 is divided by 21?
4
Calculate the remainder when 389 is divided by 130.
129
Calculate the remainder when 253 is divided by 4.
1
Calculate the remainder when 510 is divided by 29.
17
Calculate the remainder when 233 is divided by 220.
13
What is the remainder when 345 is divided by 26?
7
Calculate the remainder when 68 is divided by 30.
8
What is the remainder when 159 is divided by 33?
27
What is the remainder when 348 is divided by 219?
129
Calculate the remainder when 115 is divided by 14.
3
Calculate the remainder when 5774 is divided by 35.
34
What is the remainder when 2224 is divided by 170?
14
What is the remainder when 148 is divided by 99?
49
What is the remainder when 1285 is divided by 11?
9
Calculate the remainder when 327 is divided by 2.
1
What is the remainder when 12203 is divided by 109?
104
What is the remainder when 5506 is divided by 307?
287
Calculate the remainder when 1748 is divided by 25.
23
What is the remainder when 2795 is divided by 20?
15
Calculate the remainder when 263 is divided by 38.
35
What is the remainder when 6297 is divided by 134?
133
What is the remainder when 524 is divided by 76?
68
What is the remainder when 143 is divided by 126?
17
Calculate the remainder when 102 is divided by 21.
18
What is the remainder when 8 is divided by 6?
2
Calculate the remainder when 2260 is divided by 73.
70
Calculate the remainder when 352 is divided by 90.
82
Calculate the remainder when 2234 is divided by 13.
11
What is the remainder when 149 is divided by 22?
17
Calculate the remainder when 312 is divided by 34.
6
Calculate the remainder when 277 is divided by 26.
17
Calculate the remainder when 30 is divided by 7.
2
What is the remainder when 89 is divided by 9?
8
Calculate the remainder when 306 is divided by 53.
41
What is the remainder when 43 is divided by 5?
3
What is the remainder when 93 is divided by 32?
29
Calculate the remainder when 971 is divided by 36.
35
What is the remainder when 113 is divided by 29?
26
Calculate the remainder when 371 is divided by 54.
47
What is the remainder when 153 is divided by 20?
13
Calculate the remainder when 2586 is divided by 14.
10
Calculate the remainder when 183 is divided by 6.
3
What is the remainder when 236 is divided by 45?
11
What is the remainder when 80 is divided by 12?
8
What is the remainder when 31 is divided by 9?
4
What is the remainder when 1566 is divided by 1555?
11
What is the remainder when 372 is divided by 83?
40
Calculate the remainder when 1860 is divided by 38.
36
What is the remainder when 247 is divided by 18?
13
What is the remainder when 95 is divided by 63?
32
Calculate the remainder when 433 is divided by 21.
13
What is the remainder when 98 is divided by 51?
47
Calculate the remainder when 99 is divided by 4.
3
What is the remainder when 714 is divided by 49?
28
Calculate the remainder when 1898 is divided by 38.
36
Calculate the remainder when 69 is divided by 6.
3
What is the remainder when 1024 is divided by 207?
196
Calcula
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{
"pile_set_name": "DM Mathematics"
}
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.6 or s?
-3.6
Let f be (0 - 6)*(-912)/(-72). Let x be (f/8 - -8)/(-1 - 5). Which is greater: 23 or x?
23
Suppose 2*m - 401 = -399. Let h = -64 + -286. Is h equal to m?
False
Let l be (-8)/20 - 81/(-15). Suppose -4*s = -l*u + 8, -2*u - 4 = -12. Suppose -s*r - 3*k + 54 = 0, 2*k - 70 = -4*r - 0*k. Which is bigger: 18 or r?
18
Let s = -8.18 + 7.18. Let q = 0.04 + 0.86. Let g = q + -0.7. Which is smaller: g or s?
s
Let c be 4/7*((-39)/(-26) + -3). Which is bigger: c or -0.041?
-0.041
Let p = 13663 - 16198. Which is smaller: -2536 or p?
-2536
Let s = -3 - -1. Let l = 179078057/71699460 - 2/1194991. Let r = 49/20 - l. Which is smaller: s or r?
s
Let k be (-1566)/(-29)*(-52)/(-3). Which is smaller: 4682/5 or k?
k
Let r be (-2)/(-6)*218/((-2)/1)*111. Which is smaller: -4032 or r?
r
Let r be 0/1 - 235/(-20). Let w = 839/68 - r. Does 0 = w?
False
Let d be 94/(-28) + 3 + -14 + (-1440)/(-112). Let k = -5 - -7. Suppose k = -i + 2*w, -2*i = -0*w - w + 4. Are i and d equal?
False
Let d be 33 - 31 - 6/3*1. Suppose d = 2*s + 5*z - 713, -5*s + s - 2*z + 1466 = 0. Is s greater than 369?
False
Let o(b) = b - 2. Let v be o(4). Suppose v*g = -g - 42. Suppose -26 - 102 = 8*f. Is f at least g?
False
Let d = 153842/5 + -30768. Which is greater: d or 118/53?
118/53
Let v be -5*(-1)/((-10)/(-12)). Suppose 0 = 535*i + 1359 - 5104. Which is smaller: v or i?
v
Let o = 25 + -25.54. Let b = 0.92 + o. Which is bigger: 3 or b?
3
Let l = 368163/85 + -73500/17. Suppose -3*o + 4*o - 4*x = -3, -3*o + 21 = -2*x. Does l = o?
False
Let r = 0.7804 - 102.7504. Let n = r - 2.03. Is -1/4 less than or equal to n?
False
Suppose 4*m - 4*g = -1136 + 276, 0 = -5*m - g - 1057. Suppose -211 = v - o, -2*v - 3*v = 4*o + 1073. Which is smaller: v or m?
v
Suppose 5*m + 360 = -545. Let j = -179 - m. Are -5 and j non-equal?
True
Let k be 8/(16/4) + -1294 - 5. Are k and -1296 nonequal?
True
Let l(i) = i**3 + 21*i**2 - 23*i - 23. Let w be l(-22). Is 8/649 at least as big as w?
True
Let x be -3 + (18 - 6) - 7. Let p be -6 + 212/36 - x/(-18). Is 3/14 != p?
True
Let x = -9030 + 9031. Do -2946 and x have the same value?
False
Let b = 19613/24 - 817. Let x(t) be the second derivative of -t**4/6 - t**3 - t**2/2 + 10*t. Let l be x(-3). Which is smaller: l or b?
l
Let k be (41/(-16) - -2)/((-1869)/(-2492)). Let i = -2 - -1. Is k at most i?
False
Suppose 6*v + 27 = 15*v. Let u be (34/10 - v)/((-4)/40). Is u greater than -33/7?
True
Suppose -4*w + 2*o = 52, -2*w - 4*o = -0*o + 36. Let m(n) = 8*n - 107. Let f(c) = -4*c + 54. Let t(g) = -7*f(g) - 4*m(g). Let d be t(16). Are d and w nonequal?
False
Let c(l) = l**3 + 20*l**2 + 17*l - 30. Let n(x) = 11*x + 179. Let y be n(-18). Let u be c(y). Is u < 0.007?
False
Suppose -238 = -4*m + 3*a + 333, -a - 561 = -4*m. Which is greater: 841/6 or m?
841/6
Let s be (7 + (-16 - -9))/(-3). Let k be ((-6)/(-40))/(34/8). Is k equal to s?
False
Suppose 6*v = v - 410. Suppose 20*w + 162 = -7*w. Let f be (-3 - 261/w)/((-11)/22). Are f and v unequal?
True
Let d(p) = 3*p**3 - 6*p**2 + 6*p - 13. Let b be d(3). Suppose 13*k + b + 202 = 0. Does k = -10?
False
Let v be 14 + -16 + (6 - 5732). Is -22909/4 bigger than v?
True
Let h = 3860/441 + -418/49. Is -904 > h?
False
Suppose -5*o = 3*u - 1 + 6, 4*u + 20 = 0. Let c be 3*(o/(-10) - 2/15). Does c = 8?
False
Suppose 44 = y - 2*y. Let c be 17/102 - (-70)/(-42). Is c smaller than y?
False
Let d = -0.0506 + 0.0866. Does d = -0.4?
False
Let y be (27/(-36))/(10/(-3920)). Suppose -50*j - y + 794 = 0. Which is greater: 81/8 or j?
81/8
Let z(i) = -i**2 - 4*i + 53. Let h be z(-9). Let j be ((-20)/11)/(-2) - h. Are 1/4 and j equal?
False
Let m be (-4)/(-6)*(-260)/8. Let a = m + 22. Which is smaller: 18 or a?
a
Suppose 0 = -4*v - 5*i + 20131, v - 198*i = -195*i + 5037. Which is greater: v or -2/3?
v
Let c = -153.8 + 167.6. Which is greater: c or 7?
c
Let u = 230 + -230.12. Let g = 2.2 - 1.8. Let i = 0.6 + g. Do u and i have the same value?
False
Suppose -5 = m, -41 = -4*g + 5*m - 0*m. Suppose 2*a + 3*b - b = -2, -5*b - 23 = -g*a. Suppose -2*c - a*c + 14 = 3*x, 2*c - x - 2 = 0. Is 2 < c?
False
Let h(n) = -6*n**2 + 3*n + 70. Let c(u) = -3*u**2 + 2*u + 36. Let f(w) = 7*c(w) - 4*h(w). Let p be f(-7). Is p smaller than 106?
True
Let w(t) = t**3 + t**2 - 14*t + 21. Let h be w(4). Which is bigger: -9 or h?
h
Let r = 21/13318 + -59597/39907387. Is 0 <= r?
True
Suppose -9*h + 15 = -6*h. Suppose -16 = q + h*l, -4*l - 14 = 3*q + 1. Let g = -946 + 12292/13. Is g less than or equal to q?
False
Let q be -7 + ((-311730868)/(-44008752) - (-1)/(-12)). Is q <= 0?
False
Let a = 1804 - 1805. Which is smaller: 446/9 or a?
a
Let y = -10381 - -10877. Which is greater: 12 or y?
y
Let k(g) = 2*g**3 - 8*g**2 - 21*g - 17. Let p be k(6). Is -1/2545 less than or equal to p?
True
Let c = -3000 + 2970.77. Let j = c + 29.2. Is j less than -7?
False
Let w = -8102/1309 - 18/187. Let n = -6 - w. Are n and 0.9 non-equal?
True
Let g = -26.201 + -0.799. Let a = 29 - -1. Let u = a + g. Is 3 smaller than u?
False
Let a(r) be the second derivative of 7/2*r**2 + 0 - 13*r - 1/6*r**3. Let l be a(0). Is l smaller than 7?
False
Let w = -5/15438 + -11861525/15438. Is -769 greater than or equal to w?
False
Let j = 29127 + -29133. Which is bigger: -5/201 or j?
-5/201
Let o be ((-12)/18)/(14/(-63)). Let y be o/12 + 195/20. Which is bigger: 11 or y?
11
Let t be 9424/(-14568) - (-28)/42. Is 0 not equal to t?
True
Let x = 14.962 + 0.038. Let r = 17.6 - x. Let s = r + 3.4. Which is smaller: s or -0.2?
-0.2
Let z be (20 - 40)/(-360)*(-2 - -1). Is 117 at least z?
True
Let l = 4563 - 9407. Is -4845 <= l?
True
Let t(w) = 82*w - 2. Let f(h) = 2*h + 21. Let j = 117 + -127. Let i be f(j). Let b be t(i). Do 79 and b have the same value?
False
Let d be 2/(-5) - (11232/(-30))/(-4). Let c = d + 139. Let r = c + -45. Is -1/24 greater than r?
False
Let i = -4 + 4.05. Let p = 0.011 - i. Let t = p - -2.239. Is 1/3 <= t?
True
Let z(t) = 24*t**2 + 10*t + 11. Let m be z(5). Let q = 708 - m. Does 47 = q?
True
Let x = -4155.7 + 4169. Let p = 229 - 208.7. Let r = x - p. Is -1/7 smaller than r?
False
Let d = -0.00365 + -120.57635. Let h = -0.58 - d. Let f = h + -113.5. Which is smaller: f or -1?
-1
Let y = -58 - -131. Suppose 0 = 3*n + o + 4 - 9, -3*n = -o + 5. Suppose 0 = 2*d - 3*d - 4*f + 57, -4*d - 5*f + 272 = n. Are y and d unequal?
False
Let x = -47/21972 + -61744043/10986. Let k = -5667 - x. Is k greater than or equal to -47?
True
Let i = 3035928 - 15328400420/5049. Let a = i - 32470483/35343. Let v = a - -917. Which is smaller: -2 or v?
-2
Let g = -3/6889 + 69331/1012683. Which is greater: -1 or g?
g
Let a be ((-78)/10)/(8/(-85)). Let d = -83 + a. Suppose 192762*z = 192741*z. Which is smaller: d or z?
d
Let w = -1648 + 1645. Which is bigger: 246 or w?
246
Suppose 0 = -93*j - 490 - 2191 - 1597. Is j at least as big as -50?
True
Suppose -414 = 36*k + 630. Let v be (-21)/7 + k/2. Suppose -5*q = 48 + 47. Does v = q?
False
Let v = 147675 + -147574. Suppose 0*a = a - 103. Which is smaller: v or a?
v
Let d be 2 - -2 - 114/(-6). Let n = d + -88. Let h be 3/((-30)/(-226)) + (-26)/n. Do -1/4 and h have the same value?
False
Let s = 56 - 49. Let x = 75 - s. Which is smaller: -2/5 or x?
-2/5
Let m = 26716 - 26771. Is m greater than or equal to 16?
False
Suppose 3*n - 6 + 0 = 0. Suppose -7*k - 400 = -17*k. Let j be (8/(-6))/(k/(-32)). Which is greater: j or n?
n
Let z be 40050/(17 + 28)*((-5)/8)/(-5). Let o = 106 - 218. Let h = o + z. Is h less than 24?
True
Let d(r) = r**2 - 7*r - 8. Let k be d(8). Suppose k = -2*a - 0 - 2. Let m be (3/a - 0)/8. Is -2 smaller than m?
True
Let f = -10532/7066423 - 1/4087. Are f and 1 equal?
False
Let m = 559 - 455. Let q = m - 849. Is -1 != q?
True
Let z = 585 - 584. Let s be -8*(-15)/(-120) + z*2. Is s >= -2/473?
True
Let w = 46 + -46. Suppose 0 = -a - w + 1. Let l = -43/11 + 4021/1023. Are a and l unequal?
True
Let n = 4.288 - 8.288. Which is smaller: -656 or n?
-656
Let n = -1.6 - 4.4. Let q = n + 5.8. Let j = 23373 - 23412. Which is greater: j or q?
q
Let d = -5430 + 5429. Is d not equal to -36/5?
True
Suppose 8*k - 16 = 4*k + 4*d, 5*k = -2*d - 8. Let c be (2 - 3) + 1 + k. Is 2/137 less than c?
False
Let g be 171/27 - (-1)/(-3). Let u be (-114)/(-48) + g/(-1). Is u <= -3?
True
Suppose -4*w +
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{
"pile_set_name": "DM Mathematics"
}
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ich is bigger: t or 1?
1
Let o = -6 - -26. Let l be (-8)/o + 19/(-15). Is -3 less than l?
True
Suppose 0*d - 2*d = 4*p - 14, 0 = -2*p + 2*d - 8. Suppose -2*a - p = -7. Let m be (-1 - -9)*(-1)/(-2). Which is bigger: a or m?
m
Let b(f) be the second derivative of f**5/20 + f**3/6 + f**2/2 + f. Suppose 0 = a - 3*a. Let i be b(a). Do i and 3/5 have the same value?
False
Suppose 5*u - 10 = 10. Suppose u*g = 2*g. Is g not equal to -1/6?
True
Let r(o) = -2*o**2 + 6. Let m be r(-5). Let a be (-1 - m/6) + 1. Let c = a - 7. Is 1 bigger than c?
True
Let t = 0.4 - 0.2. Which is greater: t or 0.05?
t
Let p = -731 - -2213/3. Let m = 1345/3 + -442. Let i = p - m. Which is bigger: i or 1?
1
Let g = -0.8 - 2.2. Let a = 6 + -6.2. Is g greater than or equal to a?
False
Suppose 0*y = 2*n - y + 55150, 0 = -n - 4*y - 27557. Let z = 193328/7 + n. Let k = 45 - z. Is k < -1?
False
Let v be (0/(20/(-4)))/(-3). Is v at most 12/11?
True
Let n = 10 + -2. Which is bigger: n or 7?
n
Suppose 0 = m + 2*a + 4 - 17, -2*a = 2*m - 20. Let y be ((-2)/(-3))/(3/27). Is y bigger than m?
False
Let d(l) = l + 3. Let s be d(-6). Let p be 3 - s*(-38)/42. Which is greater: -2/7 or p?
p
Let u(t) = t + 9. Let m be u(-6). Do m and 3 have different values?
False
Let a = -3.4 + 1.4. Is -3/7 >= a?
True
Let t = -111 + 111. Is t greater than or equal to 4/21?
False
Let v = -41 + 36. Let l = -3 + -1. Which is smaller: l or v?
v
Suppose 7*t = 4*t - 3. Is t greater than -2/31?
False
Let x be 0/((-2)/2*2). Let k be 2/3*(-99)/(-22). Suppose 0 = -k*z - 1 - 2. Is z at least x?
False
Suppose -5*f + 2*w + 0*w = -25, -5*f - 2*w + 5 = 0. Suppose b - 12 - f = 3*h, 4*h + 20 = 0. Let o = -1/410 + 1649/3690. Is o smaller than b?
False
Let q = 0.3 + -0.3. Let j = -15.9 - -15. Let l = j - 3.1. Which is greater: q or l?
q
Let t = 0.06 - 0.46. Which is bigger: -0.1 or t?
-0.1
Let a = 557/2 - 272. Which is bigger: 6 or a?
a
Suppose 25 = 5*w - 3*v, 0 = 4*w + 5*v + 3 + 14. Which is smaller: w or -5?
-5
Let m be ((-181)/3)/((-4)/3). Let y = 102743 + -3700369/36. Let o = y + m. Is o less than 1?
True
Suppose 0 = -0*c + 8*c + 8. Which is smaller: c or 2/39?
c
Let j = -0.108 + 1.108. Is 11 >= j?
True
Let d be 3/54*-8 + 1. Do d and 1 have different values?
True
Let o = 2 + -17. Let y be (-111)/o + (-2)/5. Suppose -5*x = 4*p - 13, -3*x + y*x + 3*p = 10. Which is smaller: x or 2?
x
Suppose -b - y + 3 = -1, -2*b + y - 7 = 0. Let v be 1 + b + 1 - -3. Which is smaller: 2 or v?
2
Let o be -2 + (51/45 - -1). Is 1/3 at most o?
False
Let o = 274/245 - -4/49. Suppose 0 = 5*p + 75 - 85. Is p bigger than o?
True
Let k = 3437/10541 + -46/127. Which is bigger: k or 1?
1
Let y = -1 + -1. Let x be (-6)/9 + y/6. Let s = 8 - 8. Which is bigger: x or s?
s
Let u(w) = -2*w - 25. Let p be u(-12). Is 0 at most as big as p?
False
Let p = -7 + 9. Suppose 2*q = -p*n + 22, -3*q + n = 2*n - 29. Let f be (-18)/(-11)*3/q. Which is greater: f or 2?
2
Suppose 2*t = -2*h - 74, -5*t - h + 4*h - 201 = 0. Let l = 27 + t. Let z be (1/l)/((-6)/(-12)). Which is smaller: z or 0?
z
Let v = -45.6 + 45. Which is greater: v or 5?
5
Let s = 6 + -6.08. Let g = -0.02 + s. Are 2/25 and g equal?
False
Let k be (-300472)/140 - 3/(-1). Let p = -2142 - k. Let h = p + -10/7. Which is smaller: h or -0.1?
h
Suppose 5*g = 0, -b = 2*g + g - 7. Is b at least as big as 8?
False
Let h = 10 - 20. Let n = h + 10. Let i = -3/11 + -3/11. Which is greater: n or i?
n
Let m(x) = -x**2 - x + 1. Let z(h) = h**2 + h. Let y(j) = 2*m(j) + z(j). Let o be y(0). Is o smaller than 5/7?
False
Let r be 1725*1/(-11)*1. Let x = r + 157. Suppose 2 = -3*j + d, d + 2 = 5*j + 6. Which is smaller: j or x?
j
Let c = -0.33 - -0.43. Let l = -2/257 - -544/3855. Is c less than or equal to l?
True
Suppose -11*t = -7*t. Is 2/131 < t?
False
Let c = -22 + 22. Let n = 6.4 - 7. Which is bigger: c or n?
c
Let d be (3 + -3)/(-1) + 0. Is d at least as big as 1?
False
Let c be (-32)/20*(-10)/4. Suppose z - 3*z + c = 0. Let t be (-4 - -6)*z/6. Which is smaller: 2 or t?
t
Let z be (-4)/(-22) - 1568/(-88) - 4. Is z >= 5?
True
Let z = 6 - 10. Let q = 75 - 223/3. Which is greater: z or q?
q
Let m = 7.4 + -7. Let q = m - 1. Which is smaller: 1 or q?
q
Suppose 2 = -5*q + 7. Which is greater: q or 4?
4
Let w be ((-4)/(-40)*-2)/(7/(-1)). Which is smaller: -1 or w?
-1
Suppose 2*p = -5*x - p + 13, 3*p - 3 = 0. Let k be -2 + 10/(2 - 3). Let s be (-2)/5 + k/(-5). Is x <= s?
True
Suppose -3*v - 11 = 4. Let r = 0 + -6. Is v > r?
True
Let r(q) = -3*q**3 - 4*q**2 - 2*q + 1. Let f be r(-2). Let x = f - 3. Suppose u - x = -4*u. Is 2 smaller than u?
False
Suppose 35 - 111 = a. Let l be a/120 + (-1)/(-2). Is l at least 0?
False
Suppose -v + 1 = -4. Suppose -v*y - 24 = -y. Is -6 greater than y?
False
Suppose 2*o + 9 = 3*r, 8*r + o - 28 = 3*r. Let h(s) = -s**3 + 3*s**2 + 6*s - 4. Let n be h(4). Which is bigger: n or r?
r
Suppose 4*t = t + 9. Suppose -l - 4 = t*l. Is -1/6 greater than l?
True
Let d = 8.2 + -8.3. Let c = -8 + 11. Let u be c*1 - (-3 - -4). Are d and u nonequal?
True
Let r be -5 + 2 - 2*-1. Let z(c) be the first derivative of -c**3/3 + c**2/2 + c + 1. Let w be z(2). Do w and r have the same value?
True
Let w be 111/(-57) + (-2 - -4). Let g = -10300251/190 - -54212. Let t = g - w. Is t >= 0?
True
Suppose -5*h - 52 = -137. Let u = 15 - h. Is u less than or equal to -3/2?
True
Suppose 8*y - 5 = 3*y. Suppose -2*b + 1 = 3. Let t(i) = 3*i + 2. Let c be t(b). Is y >= c?
True
Suppose 146 = 3*r + 5*l, -3*l + 159 = 3*r + 3. Let m be 51/r - (-1 + 2). Which is smaller: m or -1?
-1
Let m(o) = 3*o - 4. Let c be m(3). Suppose c*t + 5*z + 10 = 0, 3*z = 5*t + 11 - 1. Is -2 bigger than t?
False
Suppose 0 = 6*p - 2*p. Let i be 0 - (3 - p - 2). Is i at most as big as -1?
True
Let u be 8*(6/(-8))/(-1). Suppose -9 = -k - 5*i + 23, -5*i - 10 = -5*k. Is k < u?
False
Let q = 10 - 18. Let x = -15 - q. Is 0 greater than or equal to x?
True
Let p be -2 + (-4 - -6) - 0. Which is smaller: p or 1/6?
p
Suppose -7 + 27 = 2*v - 2*m, 2*v - 3*m - 25 = 0. Suppose 0 = -3*b + 2*b - v. Which is bigger: 2 or b?
2
Let u be (-1)/(-2)*2/3. Let n = -0.23 + 21.23. Which is smaller: n or u?
u
Suppose -3*d + 8*d = 15, -2*t - 4*d = -10. Are 3/13 and t non-equal?
True
Let r(d) = 6*d - 17. Let p be r(-5). Do -46 and p have the same value?
False
Let a be 48/(-22) - (-3 - -1). Let s(q) = 0*q - 1 + 5 - q. Let o be s(4). Is o at most as big as a?
False
Let d be (-2 - (-95)/15) + -2. Is d less than 3?
True
Let t be 0/(0 - 2) + -1. Let w(c) = c**3 - 2*c - 1. Let b be w(t). Which is greater: 5/6 or b?
5/6
Let x be -3 - ((-12)/2)/3. Which is smaller: x or 1/8?
x
Let j = 0.03 - 0. Let p = j - 0.13. Is 5 equal to p?
False
Let d(m) = 2*m**2 - 3*m - 1. Let v be d(3). Is v > 5?
True
Let w(u) = -u**3 + 6*u**2 + 7*u + 1. Let l be w(7). Is l smaller than -5?
False
Let h = 24 - 20. Which is smaller: h or 0?
0
Suppose -4*c - y = -20, -8 = -5*c + 3*y - 0*y. Suppose 0 = -c*q + q. Let j be -2 - 0 - (q + -1). Is j smaller than -2?
False
Let g be (-6)/(-14) + (-20)/(-35). Suppose 2*c = 3 + g. Which is greater: c or 7/3?
7/3
Suppose -2*k - 2*a = -0*k, -a = -3. Let f be -1*(2 + (k - -2)). Suppose 0 = -m - 3*m + 4. Which is greater: f or m?
m
Let y = -0.03 + 0.03. Which is bigger: -0.17 or y?
y
Let w be (-28)/(-10) - 1/(-5). Let a = w - 3. Let l be (-18)/15 + a + 1. Is l >= -1?
True
Let u = 42 - 42. Let r = -6412096/17 + 377447. Let q = r - 265. Which is smaller: u or q?
q
Suppose -16*d + 11*d = 0. Is -1/31 greater than d?
False
Suppose -2*h + 2 = 3*y - 0*y, -3*h + 3 = -4*y. Suppose 0*z + x = 2*z + 3, -z - 12 = -4*x. Is z greater than h?
False
Let t = 44 - 179/4. Which is greater: 4 or t?
4
Let f = -0.082 + 21.882. Let r = 22 - f. Is r less than or equal to 5?
True
Suppose -y - 4*y + 415 = 0. Suppose 3*c + 2*d - 29 = -y, d - 103 = 5*c. Let k be 2/(-4) - (-2)/c. Which is smaller: -1 or k?
-1
Let u be 3*(-1)/2*66/(-9). Which is smaller: u or -1/4?
-1/4
Let t = -7 - -11. Suppose t*r + 16 = 2*y - 0*y, y - 5*r - 20 = 0. Let a be 0/(2 - 1 - 3). Are y and a unequal?
False
Let g = -0.18 - -0.25. Let o = g + 0.93. Is o less than or equal to -5?
False
Let i(y) = y**3 + 8*y**2 + 6*y. Let f(k) = k**2 + 5*k - 1. Let m be f(-7). Suppose -3 = 3*c + 5*x + 13, 2*c + x = -m. Let r be i(c). Is 6 less than r?
True
Suppos
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{
"pile_set_name": "DM Mathematics"
}
|
74. Let b be x(-10). Let s be -24*((-27)/2)/3. Let r = b - s. Is 18 a factor of r?
False
Let n be ((-6)/(-5))/3 - 92/(-20). Let v be (-3 - (-628)/2) + -6 + n. Suppose h - v = -h. Is 22 a factor of h?
False
Is 25 a factor of (59/2 + 2)*278*3/9?
False
Let f be 2/(((-16)/(-8))/(-722)). Does 23 divide (-381862)/f + 4/38?
True
Let k = 249 + -245. Suppose -k*o + 3*g = -772 - 464, -g - 1556 = -5*o. Does 6 divide o?
True
Let g = 103714 + -8470. Does 13 divide g?
False
Let g(w) = 48*w + 15. Let n be (-6)/((45/66)/(-5)). Suppose 0 = 5*r + 6*r - n. Does 23 divide g(r)?
True
Let v(l) = 28*l + 23. Let g be v(9). Suppose -7*y - g + 828 = 0. Is 9 a factor of y?
False
Let o(h) be the third derivative of -2*h**4/3 + 2*h**3 + 4*h**2. Let m be -33 + 35 - (6 + 1). Is 23 a factor of o(m)?
True
Is 143 a factor of 83/(498/113448) - (-9 + -1)?
False
Suppose -9*k = 33 + 12. Suppose 2*o + 1 + 1 = 0. Is 3 a factor of o/(((-4)/(-6))/(k - -3))?
True
Let h(u) = 10 + u + 8 - 3 + 5. Let i = -24 + 7. Does 2 divide h(i)?
False
Let o(w) = -24*w + 6. Let n(p) = 24*p - 5. Let r(i) = 3*n(i) + 4*o(i). Let y be r(-5). Suppose -y = -2*s - 3*b, s + 5*b - 82 = -0*s. Does 19 divide s?
True
Suppose 0 = -94*y + 85*y + 4455. Suppose 500*r - 1465 = y*r. Does 17 divide r?
False
Let p(l) = -1041*l - 1271. Does 19 divide p(-11)?
False
Is 0 + (-49)/(147/(-7740)) a multiple of 5?
True
Suppose -3*a - 2198 = -3*j - 809, -5*j - 2*a + 2357 = 0. Is 57 a factor of j?
False
Is 3/72*-8 + 246724/12 a multiple of 16?
True
Let u = -7 - -14. Suppose 5*j + 4*a - 1194 = 0, 4*j - 5*a + 706 = u*j. Is j a multiple of 11?
True
Let c = -13 - -10. Let l(n) = -n**2 + 2*n + 1. Let a(r) = 8*r**3 + 11*r + 1. Let d(q) = -a(q) + 4*l(q). Is d(c) a multiple of 48?
True
Suppose 4*k - 62923 = -5*c + 104059, c - 33366 = 3*k. Does 23 divide c?
False
Let y = -1711 + 8835. Does 7 divide y?
False
Let k = -3224 + 6243. Suppose -8*b - k = -12171. Is b a multiple of 9?
False
Let u = 236 - 234. Suppose 5*j + 945 = s, u*s = 5*s + 2*j - 2852. Is 12 a factor of s?
False
Suppose 44*l - 5 = 43*l, p = 2*l + 1120. Does 8 divide p?
False
Let i(m) = -m**3 + 31*m**2 + 2*m - 62. Let u be i(31). Suppose u = 4*y - 316 - 332. Is 7 a factor of y?
False
Does 30 divide (-503143)/(-430) - (9/(-10))/(-9)?
True
Let u be (0 - 5)*(-5)/(175/4606). Suppose 0 = 3*p - 7*p + 3*n + u, -5*n - 488 = -3*p. Suppose 30 = 4*r - p. Is r a multiple of 49?
True
Let y(o) = 8*o**2 - 1227*o**3 - 8*o**2 + 3 - 2*o - 160*o**3. Let m be y(1). Does 23 divide 2/(-5) + m/(-15)?
True
Suppose -o - 2*m - 3 = 0, 3 - 10 = o + 3*m. Suppose -o = s - 7. Suppose b = 2*b + 2*l - 18, 0 = -s*b - 3*l + 41. Is 2 a factor of b?
True
Let a(s) = 27*s - 310. Let c be (45/90)/((-2)/(-72)). Is 5 a factor of a(c)?
False
Suppose -2*d - 40 + 46 = 0. Suppose -608 = -5*v + 2*r - 4*r, d*r = 3*v - 369. Does 39 divide -2 + (v - -2) + -5?
True
Suppose 5*q = -2*r - 15, 2*r = 2*q - 2*r + 30. Let p be 4 + 2/(-2) + q. Is (p/(-4))/(14/1540) a multiple of 15?
False
Suppose -21*f - 23*f + 756052 = 0. Does 129 divide f?
False
Let y(p) = 50*p**2 - 6*p - 12. Let s be (-4)/(-3)*(-11)/((-176)/36). Is 41 a factor of y(s)?
False
Let d(c) = -2*c**3 + 11*c**2 + 2*c + 24. Let f be d(6). Suppose 3*m - 4*u - 1171 = f, -6 - 10 = 4*u. Does 13 divide m?
False
Let f(c) be the first derivative of c**4/4 + 7*c**3/3 - 4*c**2 - 13*c - 33. Does 3 divide f(-6)?
False
Let b(w) = 4*w**2 + w. Let s be b(1). Suppose i - 23 = s*p, 4*i + 3*p - 32 = 8*p. Suppose i*j = 7*j - 132. Does 33 divide j?
True
Let k(m) = -3*m - 12 + 67 - m. Let i be k(13). Suppose i*a - 11 = 382. Is a a multiple of 14?
False
Suppose 7*i - 21464 - 2889 - 8295 = 0. Does 18 divide i?
False
Let q = 61 + -38. Suppose -q = -5*s + 7. Is 18 a factor of s/(-4)*2664/(-54)?
False
Suppose -a + 2349180 = 179*a. Is 20 a factor of a?
False
Let b = -8946 - -16274. Is b a multiple of 8?
True
Let l(i) = i**2 + 26*i - 319. Let u be l(-49). Let n = -618 + u. Is 4 a factor of n?
False
Let c(y) = 2*y**3 + 64*y**2 + 71*y + 309. Is 21 a factor of c(-31)?
False
Suppose 0 = 19*v - 113 - 20. Suppose -k = v*j - 5*j - 205, 0 = -5*k - 3*j + 997. Is k a multiple of 5?
False
Let n(z) = z**2 - 3*z + 26. Let c be n(6). Suppose -142 = -46*u + c*u. Does 38 divide u?
False
Suppose 664735 + 392528 = 301*n - 63962. Does 149 divide n?
True
Let u(j) = 19*j**2 + 25*j + 25. Let z be ((-6)/4)/((-129)/(-602)). Is 11 a factor of u(z)?
True
Let g(s) = 31*s - 1. Let l(z) = 113 - 223 + 112 - 32*z. Let c(a) = 6*g(a) + 5*l(a). Does 29 divide c(2)?
False
Let t(c) = c**2 + 70*c - 455. Is 3 a factor of t(-82)?
False
Let f be (-1 + -3 + 0)*6/4. Let v(l) = 7*l**2 - 3*l + 4. Does 13 divide v(f)?
False
Let x(t) = 20*t - 7. Let o be x(-2). Let y = o + 65. Suppose y = l - 43. Is 16 a factor of l?
False
Suppose 12 = 3*r + 4*y, -2*r + 10 = 4*y - 2. Suppose -3*n - 24 = -r*n. Let w(v) = 2*v**2 + 9*v - 8. Does 12 divide w(n)?
True
Let w(t) = t**2 + 11*t - 15. Let m be w(-9). Let v be (-2)/((15/84)/(-5)). Let l = m + v. Does 6 divide l?
False
Suppose -5*q - y = 53 - 171, 0 = 5*q - 5*y - 130. Let z = q + 47. Is z a multiple of 2?
False
Suppose -252*p + 6440 = -224*p. Does 3 divide p?
False
Suppose 2*z = 5*n + 135, -z - 47 - 7 = 2*n. Let k = n + 45. Let t = k + 30. Does 12 divide t?
True
Let j = -19 - -9. Let p be (((-12)/j)/3)/(4/(-60)). Is (p - -2)/(-4) - (-108 + 4) a multiple of 21?
True
Let t be 6478/6 + (-11)/(-21 + -12). Suppose 0 = 119*l - 114*l - t. Is l a multiple of 36?
True
Let t = 449 - 446. Suppose -t*a + 2*q + 1243 = 0, -404 - 443 = -2*a + 5*q. Is 10 a factor of a?
False
Suppose 130*g + 55089 = 139*g. Is 38 a factor of g?
False
Let t = 40 - -626. Suppose i + 4*l - 237 = -0*i, -3*i = -3*l - t. Is i a multiple of 25?
True
Let y be 20/8*(0 + 2). Let x(u) = -u**3 + 5*u**2 + 7*u - 6. Let v be x(y). Suppose v*h - 24*h - 1240 = 0. Is h a multiple of 31?
True
Let k be (-6)/14 + (-1 - (-470)/35). Suppose -3*z + 836 = 2*g, -3*g + k*z = 9*z - 1284. Is 53 a factor of g?
True
Let g be 2 - (0 - -1*11). Let p be 0 + (-514)/(-9) + (-41)/369. Does 30 divide g/(-4)*1216/p?
False
Let j be 69/12 - (-3)/(-4). Let i = 657 + -173. Suppose 2*y - 184 = -g + 5*g, 0 = -j*y + 4*g + i. Does 10 divide y?
True
Let g = 28155 + 11325. Is g a multiple of 152?
False
Suppose 36*j - 3*z = 41*j - 2536, -2*j - 6*z + 976 = 0. Is 32 a factor of j?
True
Let b be 2/((-8)/6 + 801/621). Is b/(-7)*(30 + -23) a multiple of 6?
False
Let b = 44 + -97. Let d = b + 54. Does 9 divide -3 - (1114/(-12) - d/6)?
True
Suppose b + 3 = 6*b + 3*g, 0 = -2*b - 3*g - 6. Suppose j + p - 127 = 0, b*j - 4*p + 97 = 506. Is j a multiple of 39?
False
Suppose 0 = -41*z + 43036 + 11371. Is 38 a factor of z?
False
Let a = -65 + 109. Suppose 4 = -10*r + a. Suppose r*f = 5*f - 54. Does 9 divide f?
True
Let q = 89 - 82. Suppose 10*h + 13 + q = 0. Is ((-10)/(-8))/(h/(-16)) a multiple of 4?
False
Suppose -144*z = -150*z + 234. Suppose 355 = 4*n + z. Is 79 a factor of n?
True
Let p be 28/(-7) - 3/(1 - 2). Let h(q) = -1653*q**3 - 29*q - 30. Is h(p) a multiple of 118?
True
Suppose -199789 = -106*v + 289719. Is v a multiple of 15?
False
Suppose 0 = 4*u + 2*d - 20, 3*d + 4 - 10 = 2*u. Suppose 2*y = -y - u*y. Suppose 3*j = 3*o + 15 + 180, -j - 4*o + 50 = y. Does 4 divide j?
False
Let l = 1 + 60. Suppose -16*y + 531 + l = 0. Is 8 a factor of y?
False
Let k(b) = 44 - 28*b + 167 - 87. Is 10 a factor of k(-2)?
True
Let o be (-70)/4 - 33/(-22). Let k be (-52)/o + (-9)/(-12). Suppose p + k*p + 3*i = 137, -4*i = -4*p + 84. Is 18 a factor of p?
False
Let j(i) = -284*i + 6. Let c be j(-2). Suppose 7*h + c = -28. Is h/(-1) - (-3 - (1 + -6)) a multiple of 14?
True
Suppose 3*v = -2*j + 3240, -54*j + 50*j + 2160 = 2*v. Is 12 a factor of v?
True
Let n = 486 + -484. Does 30 divide n - (-146 + 1 + -5) - -3?
False
Let p be 4/14 + (-24)/(-14). Let u(d) = d + 20. Let l be u(-16). Suppose t + 44 = p*t - l*g, -5*t + g = -220. Is 29 a factor of t?
False
Is 14 a factor of 0 - 1*-8 - (-36053 + 81)?
True
Let x be (-22 + 25)/((-1)/5*-3). Suppose -x*p - 2 = -4*p. Is (p/(-8))/((-5)/(-3620)) a multiple of 33?
False
Suppose 12*c - 4 = 10*c. Suppose -b - c = -5, 3*a - 2*b - 264 = 0. Is a a multiple of 10?
True
Is (-40)/6*220662/(-1495) a multiple of 24?
True
Suppose 8450 = 138*t + 31*t. Is 2 a factor of t?
True
Let k(n) = -184*n
|
{
"pile_set_name": "DM Mathematics"
}
|
igger: 0 or m?
0
Let p = 16301/9 - 1809. Which is bigger: p or 1?
p
Let s = -4 - -7. Let w = 2.99 - s. Is 0.1 greater than w?
True
Let r(c) = c + 4 - 6 + c. Let g be r(2). Is g < 1?
False
Let p = 3/62 + -201/310. Suppose 5*g - g = -64. Let i = 16 + g. Which is bigger: p or i?
i
Let p = -2 - -3. Is 0 greater than p?
False
Let b = 3177/232 - 109/8. Let g = -4 + 12. Suppose 4 = 4*s - g*s. Which is bigger: s or b?
b
Let h = 1 + 2. Let a be (2/h)/((-14)/(-9)). Is 0 less than a?
True
Let r(h) = -h**2 - h - 15. Let i be r(0). Let d = -13 - i. Suppose 2*m - t = 10, 0 = -5*m - 4*t + t + 3. Are m and d unequal?
True
Suppose 0 = -3*o - 16 - 2. Let u be -3 - (o/33 - 3). Let p(l) = -l**3 + 7*l**2 - 7*l + 6. Let z be p(6). Are z and u equal?
False
Let r = -4.96 - 0.04. Which is smaller: -1/3 or r?
r
Let b(n) = -n**3 - 4*n**2 + 5*n - 2. Let i be b(-5). Let j be 2/(-8)*i*0. Suppose 4*p - 3*a + 7 = j, 3*p = 5*p + 3*a - 19. Are 3 and p equal?
False
Let a be (16/(-12))/((-2)/(-3)). Let x be (-40)/(-56) - a/7. Is x smaller than 2/13?
False
Suppose -4*v + 3*t = 5*t + 8, 2*v - 3*t = 4. Let z be v/4 + 15/(-12). Suppose 0 = -o - 1 - 0. Is z bigger than o?
False
Let q be 9/(684/(-80)) - -1. Which is smaller: q or 1?
q
Let b be 2/(-2) + 12/3. Let s(c) = 2*c - 7. Let l be s(b). Which is bigger: l or -14?
l
Let x = -1231/5 + 245. Let i(c) = -5*c**2. Let t be i(-1). Let m be ((-8)/(-10))/(2/t). Are m and x unequal?
True
Let f be (1 + -1)/(6 - 4). Let x = 3 - f. Which is greater: 3/2 or x?
x
Let q(c) = -c + 2. Let l be q(4). Let b be ((2 + l)/(-3))/1. Is -1 less than b?
True
Let o = 1.92 + 0.08. Is o at least 2?
True
Suppose 4*o = 5 - 1. Let z be 1*3*(3 + (-40)/15). Is o greater than or equal to z?
True
Suppose 2*j + 7 - 1 = 0. Which is bigger: j or -14/9?
-14/9
Let c be (-12)/(-424)*(-68)/(-30). Let p = c + -24026/265. Let d = p - -91. Do d and 1 have the same value?
False
Let w be (-12)/14*4/8. Which is greater: w or 0?
0
Suppose -3*z + 6 + 2 = -4*d, 4*z - 8 = 4*d. Let v be -2 + 2 + 1 + 2. Let n be (v/3)/((-2)/(-6)). Which is smaller: z or n?
z
Suppose 2 = -2*f + 3*j, 27 = 5*f + 4*j + 9. Let p(b) = -b**3 + 2*b**2 + 2*b - 2. Let z be p(3). Let k be f/(-5) + (-2)/z. Is k <= 0?
True
Let r = -15/7 - -10/21. Let c = 35 - 38. Which is greater: r or c?
r
Let u(w) = -w**2 + 7*w + 6. Let n be u(7). Let k(b) = -b**2 - 11*b + 18. Let r be k(-12). Is r less than n?
False
Let h = -17 + 18. Let f be h + 3 + (-36)/30. Is f greater than 4?
False
Let f = 1/12 - 7/12. Let r be 4*(-2 + (-13)/(-6)). Let g = r - 20/21. Which is bigger: f or g?
g
Let t be 2*1 - (-2 - 5). Let v = t - 8. Is -1 != v?
True
Suppose k - 2*a = 1, -4*k + 5*a + 17 - 4 = 0. Which is bigger: k or 0?
k
Let m(h) = -h**3 + 3*h + 1. Let i be m(-2). Suppose 12 = -5*a + 2*f, -a - f - 7 = i*a. Let g = 2 + a. Is -1/2 greater than g?
False
Let s = -38 - -35. Which is bigger: s or -0.12?
-0.12
Suppose 2*t = 4*l - 2, 3*l - 13 + 1 = -2*t. Which is bigger: l or 6?
6
Let t be (6/(-20))/(6/(-4)). Let d = t + -19/20. Let y = -1 - 1. Which is smaller: y or d?
y
Let p(g) = g**2 + 11*g - 17. Let x be p(-12). Is x smaller than -8?
False
Let m = -6 - -11. Let p = 0 + m. Which is bigger: 4 or p?
p
Let w(h) = -4 + 3 - 4 - h + 0*h. Let i be w(-5). Which is bigger: -10/9 or i?
i
Let d be 7/(-4) + (-4)/16. Let n be (-2)/(d*(-1 + 0)). Let f be (4 + n)*(-1)/4. Which is smaller: -1 or f?
-1
Let x = -266 + 259. Let m = 1 - 2. Is x <= m?
True
Let c(f) = f**2 + 4*f + 4. Let i be c(-3). Let z be (-3 - -5)/(5/i). Let l = 2 - 2. Which is smaller: l or z?
l
Let w(l) = 2*l**3 - 7*l**2 + 3*l - 7. Let j be w(5). Let i = 24/299 - 73925/897. Let n = i + j. Is n > 0.1?
True
Let p = 9 + -3. Let a = -26 + 19. Let s = p + a. Is -0.1 > s?
True
Suppose -2*i = 5*w + 17, 0 = -5*i - 0*w + 3*w + 4. Let v be -1 - ((2 - 1) + -3). Let z be 9 - 11 - v*-1. Is z not equal to i?
False
Let a = -131 - -130. Let f = -1.1 + 1. Which is greater: f or a?
f
Let l(n) = -n**3 + 7*n**2 + 8*n - 8. Let r be l(8). Is -8 smaller than r?
False
Let p = 295/3 + -100. Does p = -3?
False
Let r(h) = -h**2. Let c be r(1). Is 1/3 at most c?
False
Let v(g) = -g**3 + 11*g**2 - 10*g + 6. Let x be v(10). Let i be x/16*4/6. Is -1 greater than or equal to i?
False
Let b be (-3)/((-18)/22) - (2 + -3). Which is greater: b or 6?
6
Let d(u) = -12*u - 6. Suppose -3*t + 31 = -5*s, -3*s - t - 21 = -4*t. Let g be d(s). Let y = 379/7 - g. Is 0 < y?
True
Suppose -3*h = -5*h. Let b be (2 - h) + (-1 - 1). Suppose -4*t - t = b. Which is smaller: -1 or t?
-1
Let c = -0.13 - -0.14. Is c greater than -2?
True
Let x = -7.4 - -7.6. Let p = -1 - -2. Let n = p + -2. Does n = x?
False
Let m = -14 - -9. Let x be ((-2)/(-2))/((-9)/(-72)). Let t = x + m. Which is bigger: 1 or t?
t
Let k(g) = 10*g**3. Let p be k(1). Do 5 and p have different values?
True
Let h(z) = 0 + z + 3 + 0. Let l be h(-6). Is -3/2 < l?
False
Let z(p) = -p - 3. Let f be z(-3). Suppose l + l = f. Suppose -4*k - 4*u - 12 = 0, -2*k - 3*u - 10 = -l*u. Is k <= -2/5?
False
Let w be -2*((-6)/(-4) - 1). Let v = 4 - w. Suppose -v*y + 3 = -k, 4*y + 0 = 5*k + 15. Do k and -3 have different values?
False
Suppose 0*u + u - 19 = -3*z, -8 = 4*u. Is 8 at least z?
True
Let y = 40 - 39. Is -2/29 <= y?
True
Let s(b) = 0*b**2 + 3*b**2 + 4*b - 4*b**2 + 0*b**2 + 2. Let k be s(4). Suppose 0 = -5*d - k + 7. Is -2/9 smaller than d?
True
Let a = 601/9 + -67. Let n be (-1)/3 + (-1182)/(-270). Let h = 40/9 - n. Is h smaller than a?
False
Let p be (5/(-50))/((-2)/(-25)). Is p bigger than -1?
False
Let h = 7 - 19. Let p be h/1456*(-44 + 0). Let u = -1/13 + p. Which is smaller: -0.1 or u?
-0.1
Let s(f) = -f**3 + 2*f**2 + 3*f + 1. Let y be s(3). Let n be -1 + ((-24)/(-10) - y). Let l = 5 - 6. Does n = l?
False
Let r be ((-2)/(-3))/(6/9). Suppose 2 + 19 = 7*i. Is i > r?
True
Let s = -365/33691 + -94329737/22236060. Let b = -1/330 - s. Let k = b + -4. Is 1 less than or equal to k?
False
Let y be -1*(-557)/279 - 2. Let f = y + 851/3906. Which is smaller: f or 1?
f
Let u = 3.6 + 1.4. Are -4 and u unequal?
True
Let o = -20 - -83/4. Which is smaller: 1 or o?
o
Let c(n) = -n**3 - 3*n**2 + 6*n + 6. Let m be c(-5). Do m and -1 have the same value?
False
Suppose 4*m = -0*m + 28. Let y(p) = p**2 - 7*p - 3. Let b be y(m). Which is greater: b or -4?
b
Let a = -2 + 1.9. Which is bigger: a or 0.08?
0.08
Let o be (-2 - -1)*-1 + -22. Is o at least as big as -21?
True
Let b = -84 + 3278/39. Is -1 != b?
True
Let f be (2/(-8))/((-4)/6). Which is greater: f or -1?
f
Suppose -5 = -3*x - 86. Which is bigger: x or -26?
-26
Let v be (4/(-50))/((-5)/(-25)). Which is bigger: 0 or v?
0
Let a = 29 - 32. Is a >= 0?
False
Let f(a) = 2*a**3 + 22*a**2 + 2*a + 20. Let w be f(-11). Let r = 1 - 3. Let s = r - -1. Is w at least s?
False
Suppose 3*x - 4 = b, 0*x - 3*x = 3*b + 12. Let h be (24/(-36))/((-3)/(-18)). Do h and b have different values?
False
Let a = 13/10 + -2/15. Are 0 and a non-equal?
True
Suppose -2*l = -0*l - 4. Let s be l/8 - (-2)/(-8). Is s bigger than 3/4?
False
Let p be (-51)/7 + 4/14. Let h = -11 - p. Let c = 2 + h. Is -4/7 not equal to c?
True
Let j = -9 + 4. Is j greater than or equal to -4?
False
Let d = -117/140 + 11/20. Let r = -4 + 3. Is d < r?
False
Let q = 101 + -56. Let t be (((-24)/q)/4)/1. Does t = -2?
False
Let h = -8 - -7. Let a = h + 0.9. Are 0.06 and a non-equal?
True
Let v(g) = -g**2 + 11*g - 13. Let i be v(9). Suppose -5*y - i*k - 25 = 0, 4*y + k = 2*k - 5. Let t = -3 - y. Which is smaller: t or -2?
-2
Let t(h) = 2*h - 21. Let l be t(11). Let x be (1 - -1)/(-6)*-1. Which is bigger: x or l?
l
Let f = 1.182 - 0.182. Which is bigger: -0.45 or f?
f
Let n = 28.9 - 29. Does n = 1?
False
Let m(t) = -t**3 - 9*t**2 - 7*t + 8. Suppose 3*p = 5*p. Suppose p = -2*q - 2*g - 8, 3*g = 5*q + 31 + 21. Let a be m(q). Which is greater: a or -1?
a
Let v = -42 + 28. Let y be (15/(-2))/(2/4). Which is smaller: y or v?
y
Let z(s) = 5*s**2 - 4*s + 2. Let a be z(2). Suppose 3*h = 4*g + 14, -2*h + 3*g + 2*g + a = 0. Let p be (h/(-3))/(6/(-27)). Which is greater: p or 2?
p
Let f = 21 + 183. Let m = -212.05 + f. Let v = m - -8. Which is smaller: 1 or v?
v
Let i = -0.96 + -3.07. Let f = 3.97 + -4. Let g = f - i. Which is smaller: -1 or g?
-1
Let l = 17 + -16. Let n = 3 - 4. Let b = -2 - n. Which is greater: b or l
|
{
"pile_set_name": "DM Mathematics"
}
|
-51?
True
Is 69/11 <= 7?
True
Is 4648 equal to 1/3?
False
Is -129 at least -129?
True
Is -134 equal to -133?
False
Is 68/23 <= 4?
True
Is 0 less than 12/97?
True
Is 10268/11 at most 932?
False
Which is bigger: -35 or -836/23?
-35
Which is smaller: 1/16 or 39?
1/16
Is 12464 >= 12464?
True
Are -4016 and -4014 unequal?
True
Which is greater: 8 or -24?
8
Which is greater: -3/14 or -13?
-3/14
Which is greater: -1 or 44/125?
44/125
Which is smaller: -13 or -31?
-31
Which is bigger: 0 or 68/61?
68/61
Which is greater: -150 or -134?
-134
Which is bigger: 1/2 or -15883?
1/2
Do -764 and -762 have the same value?
False
Which is smaller: 0 or -4/59?
-4/59
Which is smaller: 310 or 308?
308
Are -38/379 and -1 nonequal?
True
Are -0.22 and -14 unequal?
True
Does 104 = 101?
False
Is -292 >= -1757/6?
True
Which is bigger: -1.56 or -1?
-1
Is 0.066 at least -1/18?
True
Are 20 and 844/43 non-equal?
True
Is -2/385 less than or equal to -2?
False
Is 1.76 at most 0.092?
False
Is 417 less than 417?
False
Which is greater: 3/2 or 21.2?
21.2
Is 0 smaller than -1?
False
Which is bigger: 16/9 or 1?
16/9
Which is greater: 2 or 215?
215
Is -116/5 smaller than -23?
True
Which is bigger: -1233 or -1235?
-1233
Which is bigger: 45 or 52?
52
Is -214 smaller than -214?
False
Is 51 at least as big as 54?
False
Which is smaller: -21895 or 0.2?
-21895
Which is greater: 11.08 or 2/5?
11.08
Is -12 smaller than -3?
True
Is -167 >= -162?
False
Which is bigger: -0.2 or 431/2?
431/2
Which is smaller: -1 or 12427?
-1
Which is bigger: 39 or 1/51?
39
Which is smaller: 1 or -2/14487?
-2/14487
Which is greater: -1 or -1/2128?
-1/2128
Which is greater: -551/3 or -184?
-551/3
Is 2/2317 < -1?
False
Which is greater: 1 or 8/107?
1
Which is greater: 44 or 50?
50
Are 4385 and 4384 unequal?
True
Is -149 > -162?
True
Are 4/3 and -0.8 equal?
False
Is 2/21 < -2/3?
False
Is -2/3917 bigger than 1?
False
Is -52 bigger than -5?
False
Which is bigger: 1 or 7/422?
1
Is -5740/17 < -337?
True
Which is smaller: -1926 or -1918?
-1926
Is -0.03 bigger than -26?
True
Is 987 bigger than 991?
False
Is -6 bigger than 20?
False
Is -1/102 != -1?
True
Which is greater: -1 or 4/3489?
4/3489
Is -2/3373 equal to -3?
False
Which is greater: 0 or 337?
337
Which is greater: 22 or 20?
22
Which is smaller: -2 or -39/20?
-2
Is 5537 equal to 5537?
True
Is 14671 less than or equal to 14672?
True
Are -1 and 32/793 non-equal?
True
Is 441 greater than 7?
True
Which is greater: 6548 or 6549?
6549
Which is smaller: 16/3 or 4?
4
Is -62/17 bigger than -3?
False
Which is smaller: -1 or -1/163?
-1
Which is smaller: 4 or 0.2?
0.2
Is -1115 at least -1114?
False
Is -1740 greater than or equal to -1740?
True
Which is bigger: 5/49 or 7?
7
Is -41 less than -41?
False
Which is greater: -1/2718 or -1?
-1/2718
Is -2 greater than or equal to -432/11?
True
Are -145 and -151 equal?
False
Is 3 >= 42/17?
True
Is 81 at least 83?
False
Which is smaller: 44 or 136/3?
44
Is 12 greater than 12?
False
Which is greater: 1231/12 or 1/2?
1231/12
Is -2/107 equal to -6?
False
Which is bigger: -146 or -111?
-111
Which is smaller: -8 or -16?
-16
Is -0.007 <= -71?
False
Is 16 equal to 0.1?
False
Is -181 greater than or equal to -208?
True
Which is bigger: 1497 or 1511?
1511
Which is greater: -25356 or -25354?
-25354
Is -97/4 less than -24?
True
Which is smaller: -1 or -1/39373?
-1
Which is greater: -123 or -0.1?
-0.1
Which is smaller: 3.585 or 0?
0
Do -12 and -13 have different values?
True
Is 1/124 != 0?
True
Are -70 and -61 nonequal?
True
Do -3/136 and 0 have the same value?
False
Is -294 != -295?
True
Which is greater: -9/628 or 1?
1
Does -6/7 = -402?
False
Which is greater: 0.3 or 3.99?
3.99
Which is greater: 0 or -24/77?
0
Is 0 > -40/67?
True
Is -1828/3 at most as big as -609?
True
Which is bigger: -1536 or -1537?
-1536
Is -48/5 bigger than -409?
True
Is 7/43 equal to 1/4?
False
Which is smaller: 0 or -2/11985?
-2/11985
Is -82 greater than or equal to -70?
False
Are 49 and 54 unequal?
True
Is -55 greater than or equal to -83?
True
Is -2156 bigger than -2157?
True
Which is smaller: 0.5 or 337?
0.5
Is -1 greater than -2/62193?
False
Is 3799 less than or equal to 3799?
True
Which is greater: -1 or 34/2477?
34/2477
Is -0.63 not equal to 1/10?
True
Is -1 smaller than -29/1287?
True
Which is smaller: 154 or 152?
152
Is 2/3 less than 884?
True
Which is greater: -83/152 or -1?
-83/152
Is 27 less than or equal to 29?
True
Is 1 >= 253?
False
Which is smaller: 807 or 806?
806
Is -45 smaller than -3/7?
True
Is -233 less than or equal to -467/2?
False
Which is smaller: 2/2423 or -1?
-1
Is -13/11 > 0.1?
False
Is -6990 less than -6989?
True
Which is smaller: -3/4 or 5665?
-3/4
Which is bigger: 2.4 or -1/2?
2.4
Is -21 less than or equal to 26?
True
Which is smaller: -14 or -12?
-14
Which is smaller: 840 or 3365/4?
840
Is 0 equal to -21/22?
False
Is 0 smaller than 14/75?
True
Is 1 greater than 4/1281?
True
Is -318 smaller than -318?
False
Is 2 >= 22/7?
False
Is 0.1 greater than -23/51?
True
Which is bigger: 35 or 3?
35
Are -87 and 3 equal?
False
Is 2168 > 2172?
False
Which is bigger: -11895 or -11896?
-11895
Which is smaller: -740 or 40?
-740
Is -124 smaller than -1?
True
Which is smaller: -151 or 0.5?
-151
Is -1 at most as big as 2/209?
True
Is -139 at most as big as -11/2?
True
Which is bigger: -263 or -285?
-263
Which is smaller: -270/13 or 0.1?
-270/13
Which is smaller: -1 or -210/131?
-210/131
Which is bigger: -1 or -57/17?
-1
Which is smaller: 482 or 3383/7?
482
Which is greater: 0.16 or -14?
0.16
Is 10/9 greater than or equal to 1?
True
Which is smaller: 1 or -9/175?
-9/175
Is 1/85 < 0?
False
Are -50 and -49 equal?
False
Which is smaller: 5713 or 5714?
5713
Which is smaller: -2.7 or 138?
-2.7
Do 125 and 112 have the same value?
False
Is 2/21 > -2.47?
True
Which is smaller: 1981 or -1?
-1
Do 11149 and 11149 have different values?
False
Is 0.2 less than -0.0389?
False
Does -26350 = -26349?
False
Is 3 less than -4985?
False
Which is bigger: 1/4 or 209.7?
209.7
Which is smaller: -5/313 or 1?
-5/313
Which is bigger: 0 or 8712?
8712
Which is smaller: 3695 or 3694?
3694
Is 109 < 114?
True
Is -44/949 less than or equal to 0?
True
Is 23 smaller than 622/27?
True
Do 83 and 92 have the same value?
False
Which is greater: -17 or 779?
779
Which is bigger: -504 or -2518/5?
-2518/5
Is 24429 at least 24429?
True
Is 1/4081 at most -1?
False
Which is smaller: -1 or 99/202?
-1
Is -1/7455 smaller than 1?
True
Which is greater: 29/25 or 2?
2
Is 5114 at most 5116?
True
Is -2 < 9?
True
Which is smaller: 35 or 36?
35
Which is smaller: -6302 or -6303?
-6303
Which is bigger: 323 or -7?
323
Is 0 greater than or equal to 14/81?
False
Which is greater: -8 or -5?
-5
Which is smaller: 367/91 or 3?
3
Is -1002 less than or equal to -0.1?
True
Is 53 != 57?
True
Is -39 greater than -5?
False
Is 1779 != -0.3?
True
Are -2/5967 and -1 non-equal?
True
Is 711 less than or equal to 712?
True
Is -4 less than or equal to 92?
True
Is 117.83 at least as big as 0?
True
Which is smaller: -1 or -18337?
-18337
Which is bigger: 411 or 392?
411
Does -2/671 = 1?
False
Which is bigger: -0.1 or 2/431?
2/431
Which is smaller: 9/13 or 0?
0
Which is bigger: 17 or 14?
17
Which is bigger: -1 or 12/47?
12/47
Which is greater: 10/391 or 0?
10/391
Is 0.1157 != 8?
True
Which is bigger: -0.8 or -14?
-0.8
Is -6476 greater than -6478?
True
Which is bigger: -201 or -202?
-201
Which is smaller: -1 or -3/74?
-1
Is 8/23 at most 2/35?
False
Which is smaller: -51 or -52?
-52
Which is smaller: -283 or -282?
-283
Which is bigger: -56 or -48?
-48
Which is greater: 0.627 or -2?
0.627
Is -93 at least as big as -94?
True
Do 130 and -0.1 have different values?
True
Does 622 = 3117/5?
False
Which is smaller: -1988 or 1?
-1988
Which is smaller: 0 or 0.00186?
0
Is 52 < 45?
False
Is 9/68 smaller than 5?
True
Is -133 at least as big as 0?
False
Is 51 <= 33?
False
Which is bigger: -2/6149 or -1?
-2/6149
Is 1 less than or equal to -4?
False
Is 1 greater than or equal to -1/18342?
True
Is -88 bigger than -92?
True
Are -1/19 and -8 equal?
False
Is -16 not equal to -15/8?
True
Is -540/17 at most -31?
True
Which is greater: -1 or 5/497?
5/497
Are -31/811 and -1 nonequal?
True
Are -1174 and -1172 nonequal?
True
Is -59 < -63?
False
Which is smaller: 0 or -9/3
|
{
"pile_set_name": "DM Mathematics"
}
|
4*v + 376*v**2 + 3 + 3*v**3 + 3*v + 0 as b*v**2 + s + n*v + t*v**3 and give s.
3
Rearrange (-1 + q + 4*q - 4*q)*(-4 - 2 + 3) to the form u*q + x and give u.
-3
Rearrange k - k + k + (-k + k - 4*k)*(-1 + 0 - 3) + 2*k - 2 + 2 to the form g*k + j and give g.
19
Rearrange (-4*a + 4*a + 2*a)*(0*a**2 + 0*a**2 + 7*a**3) + a**2 - a**2 + 2*a**4 to o*a**3 + t*a**4 + h*a**2 + k + n*a and give t.
16
Rearrange (0*z**3 + 0*z**3 + z**4)*(4 - 3 + 0) + 16*z**4 + 3*z**4 - 5*z**4 + 2*z**4 + 2 - 2 to n*z**3 + t*z + h*z**4 + w + s*z**2 and give h.
17
Rearrange (-3*h - 3*h + 3*h)*(-2*h + 0*h + 0*h)*(2 - 2 - h) to l + x*h**2 + i*h**3 + t*h and give i.
-6
Rearrange -1 + i + 1 + i + i - 4*i + (-4*i - 3*i + 6*i)*(3 + 2 - 3) + 3*i - 2*i - 2*i + 6 - 304*i + 5 + 305*i to the form l + g*i and give l.
11
Express 55*r + 5*r**2 - 53*r - 1 + 1 as u*r**2 + g + w*r and give w.
2
Express (-2*o + 2*o - 4*o)*(-10 - 4 + 2) as j*o + t and give j.
48
Express u - 8*u + 3*u - 8*u in the form y*u + i and give y.
-12
Express -2 - 2*r**4 - 24*r + 25*r - r**4 + 1 + 2*r**2 in the form a*r**2 + q + d*r + t*r**4 + h*r**3 and give a.
2
Rearrange -11 + 10*p + 11 + (-p + p - 2*p + (-4*p + 3*p + 3*p)*(3 - 2 + 1))*(-2 + 2 + 3) to the form i + v*p and give v.
16
Express -5 + 6 + 6 - 4 - 2*f**3 as n*f**2 + a*f**3 + g*f + i and give i.
3
Rearrange ((-3*u + 0*u + u)*(2 + 4 - 4) + 1 + 2*u - 1 + (0 + 0 + 2)*(3*u - 8 + 8))*(u**2 - 2*u**2 + 3*u**2) to n*u**3 + b + w*u**2 + s*u and give n.
8
Rearrange (-5 + 6 + 5)*(-5*d + 0*d + 4*d)*(-2 + 10 + 4) to the form l*d + u and give l.
-72
Express -6*t**2 - 3*t**2 - t + 5*t**3 - 1 + 7*t**2 in the form f*t**3 + k*t**2 + y + z*t and give f.
5
Rearrange -2*v + 2 - 2 + (1 - 4 - 1)*(-v + 3*v - 4*v) to the form n*v + j and give n.
6
Express 153 + 6*q - 153 in the form d + h*q and give h.
6
Rearrange 23*g + 15*g - 9*g - 3*g**2 to the form y*g**2 + v + u*g and give y.
-3
Rearrange 0*o**2 + o**2 + o**2 + (o - 2*o + 0*o)*(1 - o - 1) + (2 - 2 - 11*o**2)*(3 - 2 - 3) to the form h*o**2 + f*o + y and give h.
25
Express (3 + 0 + 3)*((3 + 0 - 2)*(-2 + 2 - 2*u) + 54 - 9*u - 54) in the form p*u + n and give p.
-66
Express (u - 4*u + 4*u)*(0 + 7*u + 0) + 2*u - 2*u**2 - 2*u - 3*u**2 - 4*u**2 + u**2 as g*u**2 + l*u + f and give g.
-1
Rearrange 13 - 1 - 2*f - 4 to t + h*f and give t.
8
Rearrange 2*g**3 - 2*g + 33 - 33 to the form v + t*g + k*g**2 + s*g**3 and give s.
2
Rearrange 2*o**3 - o**4 - 15*o**2 - o**4 + 7*o**2 to a*o**4 + t*o**3 + i + l*o + w*o**2 and give w.
-8
Express -3*u**4 - 13*u**2 - u**3 + 13*u**2 - 2*u - u**3 as i*u**4 + f*u + p + o*u**3 + r*u**2 and give i.
-3
Rearrange -21*i - 29*i - 94*i to the form d + o*i and give o.
-144
Rearrange -618 - 12*o + 618 to k + r*o and give k.
0
Rearrange (-1 + 2 - 5)*(-2*v + 2 - 2)*(-6 + 20 - 10) to r*v + o and give r.
32
Rearrange -16*y - 12 - 14 + 26 to q + b*y and give b.
-16
Express -10 + 22*w**2 - 24*w**2 + 8 + 2*w**3 as s + h*w + c*w**3 + b*w**2 and give s.
-2
Express 3*a**3 - 17*a + 17*a + (0*a - 2*a**2 + 0*a)*(-2*a - 2*a + 3*a) as d + n*a**3 + u*a + z*a**2 and give n.
5
Rearrange -2*t - 2 - 3 + 6 - 2*t**4 to c*t**3 + y + k*t + q*t**4 + b*t**2 and give y.
1
Rearrange -69*y - 70*y - 4*y**3 - 2 + y**2 + 139*y to the form n*y**3 + c*y + j*y**2 + i and give n.
-4
Express -25*c + 12 - 19 + 7 as o*c + l and give o.
-25
Rearrange 34*d**4 - 6*d - 7*d**3 + 5*d**3 + d - 36*d**4 - 1 to q*d**3 + h*d + f*d**2 + g*d**4 + s and give h.
-5
Rearrange q - q + 40*q**2 - 62*q**2 to the form f*q + u + a*q**2 and give u.
0
Express (-7*s + 5*s + 12*s)*(0*s + 2*s - 4*s) - 5*s**2 - 2*s**2 + s**2 in the form x*s + p + z*s**2 and give z.
-26
Express 0*p - p**2 - p**3 - p - 3 + p + 3*p**4 as o + k*p**2 + f*p**3 + q*p**4 + b*p and give q.
3
Rearrange (0 + 1 - 2)*(3*j - 2*j**3 - 3*j) + 0*j**3 + 5*j**3 + 14*j**3 - 5*j + 5*j + 3*j**3 to l*j**2 + d*j + h + b*j**3 and give b.
24
Express 340*a + 274*a - 467*a as t + k*a and give k.
147
Rearrange (-3*u**2 + 31*u**2 + 2*u**2)*(-1 + u**2 + 1) to h*u + p + r*u**4 + o*u**3 + f*u**2 and give r.
30
Express (0*z + z - 2*z)*(-3 + 0 - 1)*(1 - 1 - 5*z) in the form r + l*z**2 + q*z and give q.
0
Express (377 + 210 - 282)*(5 - 5 - o) in the form i*o + c and give i.
-305
Rearrange -j**2 - 5*j + 3*j - 4*j**4 + 4*j - 2 to the form a + g*j**4 + w*j**3 + b*j + q*j**2 and give a.
-2
Express 3*t**3 + 2 + 2*t**2 + 14*t + 16*t - 3*t**4 - 28*t in the form l + o*t**3 + m*t + f*t**4 + w*t**2 and give f.
-3
Rearrange -2*r**2 - 4*r - 2*r**2 + 2*r**4 + r**4 - 5*r**4 to q*r**4 + t*r**2 + l*r + z*r**3 + x and give q.
-2
Express -m + 23*m**2 + 2*m - m in the form v*m + j*m**2 + n and give j.
23
Rearrange -m**2 - 7*m**2 + 5*m**2 + 2 to the form o + t*m + c*m**2 and give c.
-3
Express 4 - 8 + 4 - 24*s as p + c*s and give c.
-24
Express 2*k - 2*k - k + (4 - 4 + 3)*(-6*k + 2*k + 2*k) + 3*k - 2*k + 0*k in the form t*k + m and give t.
-6
Rearrange (0*d + 4*d - 3*d)*(56 + 44 - 37)*(2*d - 3 + 3) to q*d + p*d**2 + m and give p.
126
Express -d - 13*d**3 + 8*d**3 - d**4 - 9*d**2 + 7*d**2 in the form m*d**4 + g + s*d**2 + i*d + n*d**3 and give i.
-1
Express 4 + w**2 - 2*w**2 + 4*w**2 + w**3 - 7 as d + z*w**3 + v*w + f*w**2 and give f.
3
Express 111 + 2*d - 111 in the form h*d + i and give h.
2
Rearrange (-2*r + r - r)*(2*r**3 - r**3 + 0*r**3) + (-r - 39 - 32 - 22)*(1 - 1 - r**2)*(0 + r + 0) to l + b*r**4 + z*r**3 + w*r**2 + t*r and give b.
-1
Express (5 - 4 - 8 + (-3 + 4 + 0)*(2 - 2 - 4) + (0 + 1 - 3)*(4 + 0 - 2))*(4*l + l**2 - 4*l) in the form o + v*l + r*l**2 and give r.
-15
Rearrange (0*q**2 + q**2 + q**2)*(-2 - 1 + 1) + q**2 + 4*q - 4*q + (6 - 6 + 5*q)*(-2 - 4 + 5)*(-2*q + 3*q - 2*q) to the form d + z*q + k*q**2 and give d.
0
Express -72*z**2 + 11*z**3 + 70*z**2 - z + z as m*z**2 + p*z + s + y*z**3 and give m.
-2
Express -186 - 19*j + 186 as u*j + d and give u.
-19
Express (-h + 4*h - 4*h)*(77*h - 38*h - 57*h) in the form v*h**2 + k + n*h and give v.
18
Rearrange -102*o + 44*o**2 - 106*o + 1 + 208*o to x + b*o + r*o**2 and give r.
44
Rearrange -k**3 + 3*k**4 - 2*k**4 + 0*k - k - 1 to the form g*k**3 + n*k**2 + f*k + y*k**4 + p and give p.
-1
Express -9 + 8 + 16*w**3 + 3 + 5*w**3 in the form m*w**3 + n*w**2 + a*w + g and give m.
21
Rearrange -14*w - 9*w + 3*w to i*w + r and give r.
0
Express (-4 + 3 - 2)*(-2 - 1 + 0)*(-5 + 5 + 5*s) in the form t*s + x and give t.
45
Rearrange n**2 + 3*n**3 + 3*n**4 - 2*n**3 + 48 - 48 - 3*n to the form w*n**3 + s*n**2 + x*n**4 + a*n + l and give a.
-3
Express -z - 5*z - z in the form w + a*z and give a.
-7
Express (259 - 102 + 145)*(0*m**2 - 2*m**2 + 3*m**2) as v*m + k + t*m**2 and give t.
302
Express (-16*g**2 - 10*g**2 + 21*g**2 + 3 - 2*g)*(-1 - g**2 + 1 + (-g**2 + 0*g**2 - g**2)*(2 - 2 + 1)) as r + n*g**4 + p*g**2 + y*g**3 + l*g and give y.
6
Express 1 - 15*h**2 - 89*h + 89*h in the form d*h + y + f*h**2 and give y.
1
Express -32*d + 65*d - 30*d + 4 + 0 as n*d + w and give w.
4
Rearrange (-2 + 0 - 3)*(0 - 6 - 7*b + 4) to v + y*b and give v.
10
Express (-29 + 13*v + 29)*(1 - 1 - 3) in the form z + k*v and give k.
-39
Rearrange 10*w**2 - 10*w**2 - 35*w**2 to r*w**2 + p + d*w and give r.
-35
Rearrange 6*p + 4*p + 14*p - 25*p to the form c*p + u and give c.
-1
Express (-172*s**2 + 5*s - 174*s**2 + 348*s**2)*(3 + 2 - 6) as i + o*s + z*s**2 and give z.
-2
Express (20 - 25 + 2*g + 18)*(2*g - 2 + 2) as p*g + d + c*g**2 and give p.
26
Express 5*p**2 + p**2 + p**2 + 20*p**2 in the form s + j*p + u*p**2 and give u.
27
Express -403 + 0*q - 2*q + 413 + (-q + 2 - 2)*(1 - 3 + 0) - 2 + 2 + q as o + b*q and give b.
1
Express (i - 5*i + i)*(-37 + 40*i + 37) in the form s*i**2 + u*i + r and give s.
-120
Rearrange (-4*s + 4*s - 2*s)*(-21 - 29 - 6604*s + 6605*s) to n + t*s + y*s**2 and give y.
-2
Express 2*c**2 - c + c**4 - c**3 + 0*c**3 + 4*c**3 - 2*c**3 in the form x*c**3 + p*c**4 + g*c + u + k*c**2 and give g.
-1
Express (-7*w + 1 - 7 + 3)*(4 - 4 + w) as k*w**2 + t + p*w and give p.
-3
Express -3 + 23*r + 2 + 1 as d*r + x and give d.
23
Express (-8*x + 4433 - 4433)*(2*x - x + 0*x) as p*x + u + b*x**2 and give b.
-8
Rearrange -6*f - f**2 - 4*f + 2 + 10*f to the form z*f**2 + c + q*f and give z.
-1
Express (4*j**3 - 3*j**3 + 0*j**3 - 2)*(7*j - 5*j + 5 - j) as o*j**4 + p*j**3 + b + q*j + u*j**2 and give o.
1
Rearrange 12*a**2 - 4*a**
|
{
"pile_set_name": "DM Mathematics"
}
|
se -2*t = -6 + 2. Solve 0 = -t*v + 4*s + 12, 0*v + v - 11 = 3*s for v.
-4
Let j(n) = n**3 + 11*n**2 - n - 15. Let y be j(-11). Let k be (-1)/y - (-77)/28. Solve -4*f + 5*h - 4*h = -6, 0 = 3*f - k*h for f.
2
Let b = 2 + -1. Suppose 5 = k + b. Solve k*d + l - 20 = 0, 0*d = 2*d - 3*l + 4 for d.
4
Suppose p - 16 = -3*q, 5*q + 0 = 2*p + 12. Solve 4*w + q + 0 = -c, 12 = 4*c + 2*w for c.
4
Let g = 2 + 0. Suppose 4*t - 10 = -2*f, -f + 3*t = -g*t - 5. Solve f*j = -4*a - 2 - 15, a - j = 7 for a.
2
Let x(g) = g**3 + 5*g**2 + 3. Let d be x(-5). Suppose 0 = -o + d*o - 2. Solve 3*i + 3 = 0, -4*r + o = -5*i - 4 for r.
0
Let x be ((-5)/(-4))/(3/12). Suppose -33 + 11 = -2*i - x*w, 0 = -5*i - 5*w + 40. Solve -5*d - 3*o = -i, -7 - 3 = -5*o for d.
0
Let u = -8 + 11. Let o = 10 - 6. Let j = 40 - 36. Solve o*t + 5*n + 6 + u = 0, 1 = 3*t - j*n for t.
-1
Suppose -4*s + 3*s + 13 = 5*u, -2*s + 10 = 2*u. Solve -4*o - u*c = 6, 0 = -4*o - 6*c + 3*c - 3 for o.
-3
Let v(g) = g**2 - g. Let m(k) = -k**3 - 5*k**2 + 6*k + 3. Let n(q) = -m(q) - 3*v(q). Let z be n(-2). Solve 0 = -4*u - z*f - 13, 2*f - 3*f - 15 = 4*u for u.
-4
Let p = -11 + 12. Let q be 10/8 - (-4)/(-16). Let t = p - q. Solve t = z - 5*g - 5, -g - 6 - 9 = -3*z for z.
5
Let z be (-2)/(-3)*(10 - 7). Suppose 15 = 3*d + z*d. Solve -2*x + 3*x = 5, -d*o + 4*x = 14 for o.
2
Suppose 18 = q + 2*q. Suppose -q*f = -11*f. Solve -5 = -4*p + c + 18, -4*c - 12 = f for p.
5
Let k = 20 + -17. Solve 0 = -5*h - 2*f - k*f + 10, 3*h + 2*f = 8 for h.
4
Let f be (-3)/18*-20*6/4. Solve -2*g - 7 = -4*t - 5*g, -f*g - 11 = t for t.
4
Let c(l) be the second derivative of l**4/12 - 4*l**3/3 + 3*l. Let h be c(9). Solve 0 = 2*u + x, -4*u = -h*u - 2*x for u.
0
Let w be -2 + 2/1 + 4. Suppose -3*i = -4*k + 36, 2*k - i + 0*i - 16 = 0. Solve 4*u = 3*d + 32, -k*u = -w*u - d - 14 for u.
5
Suppose -5*t = -t - 24. Let b be (-5)/(-25) + t/(-5). Let d(l) = -3*l - 1. Let z be d(b). Solve -3*f = -2*j - 1, -10 = z*j + 4*f - 2 for j.
-2
Let r be (-1 + 1)/(-2 - 0). Solve h + 3*x - 15 = r, 2*x - 10 = -0*h - 4*h for h.
0
Let s = 3 - 1. Let w(y) = -y**2 + 0*y + y + 0*y - 6*y. Let d be w(-5). Solve 4*f + d = 2*o - 10, 5*o = f - s for o.
-1
Let f = -18 + 29. Suppose h - u = 4*h - f, u - 5 = 0. Solve 5*g = -5*n + 1 + 4, g - 2 = -h*n for g.
0
Let r(w) = w**3 - 13*w**2 + 13*w - 11. Suppose 0*o - 3*o = -5*g - 26, 2*o - 22 = g. Let x be r(o). Solve -3*i = -5*h - x, i - 4*h + 1 = -1 for i.
2
Let s(z) = -z**3 + 10*z**2 + 11*z + 3. Let l be s(11). Solve -2*h = 5*c + 6, -5*c = -l*c for h.
-3
Suppose 3*t - 56 = -t. Solve -n = 5*f - t, -5*f = -3*n - n + 6 for f.
2
Let h = 19 - 2. Solve 2*k - 1 - h = 4*u, 0 = 4*k + u + 9 for k.
-1
Suppose 3*z - 5*z - 3*x + 5 = 0, 4*z - 22 = -2*x. Let i(h) = 2*h**3 + 20*h**2 - 22*h + 4. Let w be i(-11). Solve z = -f - n, -2 = w*f - 2*f - 4*n for f.
-5
Let a = 11 + -6. Suppose 0 = 2*z - 2*b + b + 2, -a*b + 10 = 3*z. Solve z = -c - 5*s + 21, 4*c + 0*s - 16 = -3*s for c.
1
Suppose 3*c - 2 = 7. Solve 3*y = v - 13, c*v = -2*y - 6 - 10 for y.
-5
Let g(r) = 5*r**3 + r**2 + 7*r - 2. Let j(s) = 4*s**3 + s**2 + 6*s - 2. Let k(b) = 5*g(b) - 6*j(b). Let v be k(0). Solve 4*h = 16, v*d + 6*h - h - 26 = 0 for d.
3
Let p = -71 + 71. Solve p = 5*v + 5*c - 20, -2*v - 15 = -3*c + 2 for v.
-1
Suppose -3*f + 17 = 2*d, 2*f - 18 = -0*d - 3*d. Solve -d*c - c - r + 26 = 0, 2*r = -3*c + 17 for c.
5
Let x(g) = -g - 11. Let m be x(-9). Let f be (m - 1)*(-2 + 0). Solve 4*b - f = -5*s, 5*s - 4 = 3*s for b.
-1
Suppose 4*r + 15 = 3. Suppose 0 = 4*l + 23 - 3. Let t = r - l. Solve 0 = t*f + 3*f - u - 9, 0 = 4*f - 5*u - 3 for f.
2
Let c(x) = 2*x**2 - 5*x - 9. Let g be c(4). Solve 3*b = -3*t - 21, 2*t = 5*t - g*b - 9 for t.
-2
Let q(p) be the first derivative of -p**3/3 + 5*p**2 + 10*p + 3. Let l be q(9). Solve z = 4*d + 6 + l, 5*z = -5*d for d.
-5
Let h(q) = -q**2 + 4*q + 5. Let i be h(4). Suppose -i*u + 4 = -u. Solve 3*k = -2*j - 15 + u, 2*k = 4*j + 12 for j.
-4
Suppose 0 = -0*y - 4*y. Let d(a) = 2*a + 8. Let s be d(-2). Solve -k - 15 = 4*k, -4*l - s*k - 24 = y for l.
-3
Let f = -42 + 47. Solve 5*i - 5 = -3*n, -5*i = -0*i - f for n.
0
Suppose 5*d - 23 = -2*n, 2*d - 1 - 9 = -n. Suppose 3*l + 3*k + 2 = l, d*l - 7 = -2*k. Solve 19 = 4*h + l*i, -4 = 5*h - i - 2*i for h.
1
Let h(i) = i**3 - 4*i**2 + 9. Let v be h(3). Solve -2*l = -4*n + 26, v*n - 22 = -l - 5*n for l.
-3
Suppose -z + m = -1, 5*m + 1 + 4 = 0. Solve 2*r + l - 9 = z, 1 = -2*r + 3*r - 3*l for r.
4
Suppose 4*w = -2*s + 30, -w - w = -5*s + 15. Solve 3*q - 4 - 7 = s*j, 3*q + j - 5 = 0 for q.
2
Suppose -4*u = -2*r + 18, 2 = -3*u - 1. Solve k - r = 5*y + 6, 2*k + 5*y + 19 = 0 for k.
-2
Let d be (1 + 51/6)*12. Let t be d/10 - (-4)/(-10). Let v be 4/22 + 20/t. Solve c = -4*k + 4*c - 15, 0 = v*k + 5*c - 25 for k.
0
Suppose 7 + 5 = 3*l. Solve -6*f = -f + 25, -4*f - l = -4*j for j.
-4
Let y(u) = u**2 + u + 2. Let t(r) = -r. Let o be t(2). Let f be y(o). Suppose 0 = d + 4*z - 2 - f, -5*d + 30 = 2*z. Solve 2*h + d = -3*l, l + h + 3 = 3*l for l.
0
Let b be 7*9/((-252)/(-80)). Solve 0 = -4*d + 4*j - b, -2*d + 5*j = -3*d + 19 for d.
-1
Let d(p) = p**3 - 5*p**2 - 4*p + 2. Let y be d(5). Let w = 22 + y. Solve w*m + 8 = -o, -m + 5 = -0*o + 2*o for o.
4
Suppose 5*b = 3*q + 3 + 9, 3*b = -3*q + 12. Let c = 0 + b. Suppose -3*o + 3*w - 2 = 4, 21 = 2*o + c*w. Solve n + 6*i = o*i - 8, i = 3*n + 4 for n.
-2
Suppose 6*t = 3*t + 15. Solve -4*w - 4*n = 12 + 8, -3*w - t*n - 15 = 0 for w.
-5
Suppose 4*g = c + 15, 4*g - 13 = -5*c + 2*g. Solve -3*p - j + 2 = -3, -3*j = p + c for p.
2
Let x(z) be the second derivative of z**4/12 + 2*z**3/3 + 3*z**2 + 3*z. Let c be x(-5). Solve -2*h - 9 = -3*q + 2, -2*q + 5*h + c = 0 for q.
3
Let t(j) = j - 10. Let f be t(14). Solve -5*a = 2*v + 9, a + f = -3*v - 3 for a.
-1
Let p be 3/(-21) - (-110)/35. Solve -k - p*k - 2*c = 20, -3*c = -3*k - 6 for k.
-4
Let o = 3 - -2. Solve y = 5*j + 17, 2*j - y = -o - 3 for j.
-3
Let p be (-1)/1*(-12 - -9). Solve 4*s = 12, 5*l + 8*s = p*s + 20 for l.
1
Let b be -1*(1 + -1 + -4). Solve 5*t = -4*s - 40, s + b = -t - 5 for t.
-4
Suppose -4*h = -h - 12. Let y be ((-1)/2)/(2/(-20)). Solve -1 - 7 = -y*g - h*x, -3 = x for g.
4
Let i(m) = -m**2 - 11*m - 4. Let w be i(-8). Solve 4*v + w = -4*o, 0*v = o - 4*v for o.
-4
Let j be 6/(4 + (-3 - 0)). Solve -j = g - q, -5*g - 22 = -q + 4*q for g.
-5
Let g be -3*(-2)/(-3) - -5. Let j = -8 + 11. Solve 28 = -4*c - 5*o, -g*o - 2*o - 14 = -j*c for c.
-2
Let s be 0 - -1 - (3 + 2). Let m be (-22)/s - (-1)/(-2). Suppose 6*h - 4*h = m*z - 13, -h = 2*z + 2. Solve 4*v - g = -4, 4*v + 3 + z = 4*g for v.
-1
Let m(w) = -w**3 - 5*w**2 - 6*w - 6. Let j be m(-4). Suppose 2*t - j*r = r + 69, 4*r = -4*t + 88. Solve v - 5*c + 0 - t = 0, 2*c = -10 for v.
2
Let c(m) = -m**2 + 14*m - 20. Let g be c(12). Solve 4*u - 17 = 3*o, g*u = -5*o + 2*o + 23 for u.
5
Let v(q) = q**3 + 3*q**2 + 4*q + 7. Let g be v(-5). Let a be g/(-6) + (-1)/(-2). Let x = -6 + a. Solve -2 = b - j, x*b + 9 = 2*j + 2*j for b.
-1
Suppose 0 = -7*i - 3*i. Solve p - 2*u = 6, i = u + 5 - 0 for p.
-4
Suppose -2*l - 8 = -3*l. Suppose 8 = 4*q - 4*m - l, 2*q + 3*m = 3. Solve -8 = u - n, -u = -4*u - q*n + 6 for u.
-3
Let v(w) = 3*w + 1. Let x be v(-1). Let u be x*(-3)/(-2) - -3. Suppose -5*m = 2*r + 6 - 2, 4*r - 5*m - 22 = u. Solve 0 = 4*c + y - 15, -4*y = r*c - 7*c for c.
3
Let y be 24/1*(-3)/(-4). Let p be 2 + (2 - 4) + -2. Let z be -2*p/((-4)/(-2)). Solve -3*n + 5*x = -2*n + 1, -z*x - y = -5*n for n.
4
Let q be 3/2*(-1 + 3). Suppose q*x - 19 = -4. Solve -z + c + c + 5 = 0, x*z = -3*c - 1 for z.
1
Let b = -6 - -4. Let u be (2 + -12)*(-3 - b). Suppose -2*c + 8 = -0*c. Solve c*v = 2*k - u, 4*v - 2*k + 5 = v for v.
-5
Suppose -v - 6 = -3*v. Solve 5*i + 15 = 5*j, -3*i - 5 = -v*j - i for j.
-1
Let d(q) = -q**2 + 11*q + 14. Let v be d(11). Solve 2*u - 13 = u + 2*f, 0 = 2*u - f - v for u.
5
Suppose 0 = 4*v - n - 8, -2*v + n - 1 = -v. Suppose h + 9 = -2. Let c = h - -13. Solve v*z + 12 = -z, 0 = c*u + z + 11 for u.
-4
Let a be -4*(-5)/60*0. Solve t + 2*u + 18 = -4*t, -5*t - 5*u - 15 = a for t.
-4
Let i(g) be the first derivative of -g**3/3 + 5*g**2/2 + 2*g + 2. Let q be i(5). Suppose q*y + y = 60. Solve -p + 4 = 4*k + y, -p = 0 for k.
-4
Let k(d) be the first derivative of d**3/3 + d**2/2 + 15*d + 2. Suppose -3*r
|
{
"pile_set_name": "DM Mathematics"
}
|
-h**5/60 - h**4/24 + 2*h**3/3 + 27*h**2 + 1. Give u(4).
-16
Let z(p) be the second derivative of -p**4/12 - 2*p**3/3 - 5*p**2/2 + 67*p. Give z(-2).
-1
Let r(q) = 36*q - 2. Let o(d) = -7*d - 1. Let f(p) = 4*o(p) + r(p). Calculate f(3).
18
Let n(j) = j. Let c(t) = -20*t**2 + 22*t + 20. Let p(x) = -8*x**2 + 9*x + 8. Let h(r) = 5*c(r) - 12*p(r). Let i be h(2). Determine n(i).
-8
Let u(v) be the first derivative of -v**2/2 + 13*v + 273. What is u(7)?
6
Let a(p) = 10*p**2 + 16*p**2 + p**3 + 3 + 4 + 1 - 2*p - 22*p**2. Give a(-5).
-7
Let w(q) = 3*q**2 + 5*q + 12. Let h(j) = 17*j**2 + 25*j + 61. Let s(t) = -2*h(t) + 11*w(t). What is s(6)?
4
Suppose d + 4*z = 49, -5*d - 4*z = -284 + 39. Let v(n) = -25 + d + n**2 + 2*n - 22 + n. Determine v(-2).
0
Let j(i) = 24*i - 14. Let b(y) = -8*y + 5. Let r be -4 - (8/(-2) - 3). Suppose 0*t = -r*t, 0 = 3*d - 5*t - 12. Let a(u) = d*j(u) + 11*b(u). Determine a(-1).
-9
Let x(q) = 5*q**2 + 11*q - 5. Let n(r) = r**2 + r - 2. Let a(b) = 6*n(b) - x(b). Determine a(6).
-1
Let b be (-48 - -49) + (2 - 10). Let v(s) = -s**3 - 7*s**2 - 2*s - 9. Calculate v(b).
5
Let x = -11 - -5. Let h(f) be the second derivative of f**3/6 + 4*f**2 - 598*f - 2. Calculate h(x).
2
Let z(j) = 31*j - 11. Let p(u) = -19*u + 6. Let n(f) = 5*p(f) + 3*z(f). Determine n(6).
-15
Let i be (2/(-3))/(6/(-72)). Suppose 0 = -i*x + 10 - 50. Let m(h) = h + 10. Give m(x).
5
Let t be (16/(-96))/(3/(-18)). Let h(i) = -9*i**3 + i**2 - i + 2. Give h(t).
-7
Let x(g) = 5*g + 18. Let l(m) = -7*m - 19. Let q(u) = 2*l(u) + 3*x(u). Calculate q(-7).
9
Suppose -4*a + 2*g - 5*g = -53, 2*g + 58 = 4*a. Let v(x) = -2*x + 21. Give v(a).
-7
Let a(g) be the third derivative of -g**4/12 - g**3/6 - 4*g**2. Let c(h) = -8*h. Let i(j) = -3*a(j) + c(j). Give i(-4).
11
Let d(o) = -o**2 + 3*o + 48. Let h be d(9). Let w(s) = s + 10. Give w(h).
4
Suppose 0 = -5*o + d + 10, 0 = o - 3*d - 0 - 2. Let w(l) = -2*l**2 - l - 2. Give w(o).
-12
Let j = -47 - -51. Suppose 2*z - 5 = 3*x, -4*x + j*z = -0*z. Let w(n) = -n**2 - 6*n - 3. Give w(x).
2
Let h(q) = -7*q - 5. Let x(f) = -2*f + 16. Let k be x(5). Let o(a) = -4*a - 4*a + 5*a - 3*a - k. Let s(b) = 5*h(b) - 6*o(b). Give s(-9).
2
Let k(b) = -b**3 + 4*b**2 + 3*b + 7. Let p be 36/(-6)*2/(-2). Determine k(p).
-47
Let y(f) = 4*f**3 - 4*f**2 + 4*f + 4. Let x(u) = u**3 + 1. Let p be x(1). Let w(z) = 9*z**3 - 8*z**2 + 9*z + 9. Let r(a) = p*w(a) - 5*y(a). Determine r(2).
-6
Let t(h) = -h + 7 + 1 - 2. Give t(0).
6
Let s(y) = y**2 - 5*y - 1. Let v(l) = -l**2 - 6*l - 2. Let d be v(-2). What is s(d)?
5
Let t(s) = 385 + s - 3*s - 388. Suppose 2*a - 9 - 1 = 0. Let v(g) = -3*g - 4. Let x(z) = a*t(z) - 4*v(z). Calculate x(-1).
-1
Let s(p) = 7*p**2 - 14*p + 25. Let g(w) = 5*w**2 - 13*w + 25. Let b(h) = -3*g(h) + 2*s(h). Give b(11).
-25
Let v(y) = -12*y. Let n(c) = c. Suppose -4*o - 4 = 3*m + m, -3*o = m - 3. Let a(s) = o*v(s) + 20*n(s). Let b(w) = -19*w + 510. Let f be b(27). What is a(f)?
12
Suppose -4*q + 32 - 16 = 0. Let y(h) = -h**3 + 2*h**2 + 4*h - 6. Determine y(q).
-22
Suppose 0*d + 8 = 8*d. Let m(c) = -31*c**2 + 1. Give m(d).
-30
Let z(y) be the first derivative of -y**3/3 + 5*y**2/2 + 6*y + 1. Let v be (-1)/(-3) - (-20)/(-6). Let a = v - -8. What is z(a)?
6
Let u(c) = -17*c**2 - 17*c + 20. Let o(i) = -12*i**2 - 11*i + 13. Let t(j) = 7*o(j) - 5*u(j). Calculate t(-8).
-9
Suppose -4*b + 4*w + 1228 = 0, -2*w = 5*b - 5*w - 1545. Let n(l) = b - 6*l - 154 - 154. Determine n(4).
-20
Suppose 19*r + 22 - 3 = 0. Let m(j) = -28*j - 4. Let v(o) = 19*o + 3. Let b(u) = 5*m(u) + 7*v(u). Calculate b(r).
8
Let n be (112/161)/8 - (-67)/23. Let b(w) be the second derivative of -2*w**2 + 1/2*w**n + 0 - 4*w. Determine b(4).
8
Let v(o) = 6*o + 23. Let t be v(14). Let y = -113 + t. Let l(b) = 2*b - 2. What is l(y)?
-14
Suppose -2*b = b - 63. Let u(l) = -4*l**2 - 58*l - 7. Let f be u(-14). Let q(y) = y**2 + 3*y - 4*y - f + b. Give q(3).
6
Let p be (-48)/15 + 3/15. Let y(a) = a + 8. Let n be y(-6). Let u(b) = 3*b**n + 4 - b**2 + b**3 + 0*b - b - 2*b. Calculate u(p).
4
Let a be (5 - 3)*(-13)/(-2) - 1. Let l(m) = -m**2 + 11*m + 14. Give l(a).
2
Let b(h) = -38 - 40 - 34 + h + 112 + 8*h**3. Give b(-1).
-9
Suppose -2*n + 7 = -3*s, -56*n - 6 = -57*n - s. Let c(t) be the third derivative of 0*t + 0*t**4 + 1/6*t**3 + 4*t**2 + 0 + 1/10*t**n. Determine c(1).
7
Let g(l) = 3*l. Let x(w) = -10*w. Let q(p) = -7*g(p) - 2*x(p). Suppose 5*f - f - 24 = 0. Let b = f - 7. Calculate q(b).
1
Let g(y) = -11*y + 11. Let t(o) = -2*o + 1. Let i(p) = g(p) - 6*t(p). Calculate i(-6).
-1
Let q(d) be the first derivative of -3*d**2 - 4*d + 19. Calculate q(-3).
14
Let m be 46/6 - 6/9. Let w(g) = -10*g - 6. Let i(h) = -3*h - 2. Let c(q) = 7*i(q) - 2*w(q). Calculate c(m).
-9
Let j(m) = -5*m. Let w(p) = -7*p. Let n(s) = 2*j(s) - 3*w(s). Calculate n(-1).
-11
Let j(w) = 10*w**2 + 3*w + 12. Let x(t) = t**2 + t + 3. Let b(d) = j(d) - 4*x(d). Determine b(1).
5
Let r(y) = 2*y - 8. Let i be r(7). Suppose -15*k + 13*k = i. Let m(u) = u - 4. What is m(k)?
-7
Let g be 0 + 43 - (3 + 2). Let q = 42 - g. Let t(v) = 5*v**2 - v + 1. Let s(z) = 6*z**2 + 1. Let r(f) = -4*s(f) + 5*t(f). Calculate r(q).
-3
Let s(k) = 61*k + 69*k - 200*k + 10 + 69*k. Determine s(-7).
17
Let a(i) = i - 2. Let n be a(7). Suppose 6*d = n*d + 4. Let m(t) = -3*t + 4*t + d + 0*t. Calculate m(-6).
-2
Let d(h) = -2*h**2 + 20 + h + 2*h**3 + 3*h**2 - h**3. Suppose 2*z = 6*z - 8*z. Determine d(z).
20
Let n(a) be the first derivative of -14*a**3/3 - 3*a**2 + a + 1. Let z(b) = -27*b**2 - 11*b + 2. Let j = 65 - 71. Let r(u) = j*z(u) + 11*n(u). Calculate r(-1).
7
Let y(i) = -i**3 + 11*i**2 - 17*i + 8. Let s = -1497 + 1506. Give y(s).
17
Let k(m) = -m**2 - 9*m - 2. Let l(o) = -5*o**2 - 9*o + 6. Let d be l(-5). Let t = 66 + d. What is k(t)?
6
Let g(x) = x**3 - 12*x**2 - 9*x + 1. Let m(w) = 2*w**2 + 2*w. Let r(z) = g(z) + 3*m(z). Calculate r(6).
-17
Let v(o) = 106*o**2 + 2*o - 32. Let y(s) = 159*s**2 + 3*s - 51. Let k(i) = 8*v(i) - 5*y(i). Determine k(1).
53
Let v(h) = 2*h + 6. Let c = -22 + 4. Let j be 24/(-108) + 104/c. Determine v(j).
-6
Let h(p) = -p**3 + 5*p**2 - 3. Let o(d) = -4*d**3 - 6*d**2 - 5*d + 2. Let l be o(-1). Give h(l).
-3
Let t(n) be the second derivative of -n**4/12 + n**3/6 + 5*n**2 - 6*n. Let x be t(3). Let f(k) = -k**3 + 5*k**2 - 6*k + 2. What is f(x)?
-6
Let d = -31 - -36. Suppose 5*n - n + 36 = d*w, 0 = -3*n - 4*w + 4. Let z(o) = -o**2 - 6*o - 5. Determine z(n).
3
Let q(p) = 3*p + 13. Suppose 0 = 5*w + m + 34, 40 = -4*w - 3*m - m. What is q(w)?
-5
Suppose -3 + 9 = -d. Let v(y) = -y**3 - 11*y**2 - 9*y + 11. Let c be v(-10). Let t(j) = -2 + 5*j - 6 + j**2 + c. Determine t(d).
-1
Let j(c) = 2 + 0*c**3 + 4 + c**3 - c. Let v(b) = -25*b. Let y be v(-1). Suppose -3*a - 4 = -u + 1, 0 = -5*u + y. Determine j(a).
6
Let p(c) = -3*c + 2. Let x(r) = -r + 3. Let j(v) = -2*p(v) + 3*x(v). Calculate j(0).
5
Let a(g) be the second derivative of -1/2*g**3 + 10*g + 0 - 1/2*g**2. Calculate a(-1).
2
Let n(u) = -u + 7. Let x(r) = -5*r + 20. Let o(w) = -6*n(w) + x(w). Calculate o(-16).
-38
Let z(q) be the first derivative of q**4/4 + 11*q**3/3 - 13*q**2/2 - 2*q - 1. Give z(-12).
10
Let n(f) = 3*f**2 + 19*f + 18. Let k be n(-5). Let q(r) = 18*r. Determine q(k).
-36
Let b(h) = -h**3 - 8*h**2 - 8*h - 7. Suppose 4*z + 3*t = -2*t - 35, -9 = 3*t. Let w(r) = r**2 + 5*r - 7. Let p be w(z). Calculate b(p).
0
Let o(w) = w**2 + 11*w - 9. Let l(k) = k**3 + 4*k**2 - 4*k - 6. Let j be l(-5). Calculate o(j).
-9
Let o(x) be the second derivative of x**4/12 + x**3 + 11*x**2/2 - 408*x. Give o(-9).
38
Let c(t) = 7*t - 2. Let b(a) = -a + 1. Let f(x) = -6*b(x) - c(x). Give f(6).
-10
Let q be -3*(595/(-3))/(-5). Let g be 18/81 + q/9. Let a = g + 7. Let v(t) = -t**3 - 7*t**2 - 6*t + 6. What is v(a)?
6
Suppose 4*c - 8 = 2*c. Let r(h) = 0*h - h**3 - c - 2 - 1 + 6*h + 5*h**2. Let w = -22 - -28. Calculate r(w).
-7
Let p(x) = -x**2 + 3*x + 3. Let a = 767 - 764. Give p(a).
3
Suppose 27*j = 26*j - 5. Let r = -5 - 0. Let u(k) = k**2 + 5*k. Let x(a) = -1. Let w(f) = r*x(f) + u(f). Give w(j).
5
Let o(y) = 3*y**2 + 16*y - 2. Let z(l) = -4*l**2 - 18*l + 3. Let i(t) = 5*o(t) + 4*z(t). Calculate i(8).
2
Let j be 679/(-420) - (-75)/45. Let g(z) be the second derivative of 0 - 8*z + 0*z**2 + 0*z**3 - 1/1
|
{
"pile_set_name": "DM Mathematics"
}
|
?
-4/3
Suppose -10 = 5*t - 3*o, 3*t - 2*o = -4 - 3. Let g = 2104/13 + -162. Which is the nearest to t? (a) g (b) 2/7 (c) 0.3
c
Let m = 4.2 + -3.7. Which is the closest to 2? (a) 2/17 (b) m (c) 5
b
Let f = -28 + 27. What is the nearest to f in 3, -4, -3?
-3
Let h(d) = d**2 + 8*d - 6. Let y be h(-9). What is the nearest to 0.5 in 0, -1/4, y?
0
Let c = -3.27 - -2.8. Let m = 0.03 - c. Let s = 2 + -2.1. What is the nearest to 1/2 in 0.1, s, m?
m
Let k be 2250/(-21) - (-4)/14. Let w = 107 + k. Let m be 2/9 - (-19)/(-45). What is the closest to -1/2 in m, w, -5?
m
Let o = 5.001 + -0.001. What is the closest to 2 in o, 1/4, 0.5?
0.5
Let u = -0.39 - -0.29. What is the closest to 2 in 4, u, 5?
4
Let j be (-2 + 44/24)/((-35)/10). What is the nearest to 0 in -0.5, j, -4?
j
Let w = -0.3 + 6.3. Let d = w + -3. Let b = -8 + 4. What is the closest to 0.1 in b, 0.2, d?
0.2
Suppose 33 = 4*f - 3*l, 4*l + 4 = f - 1. Let h be 2 + f/(-2) - -1. What is the nearest to 2 in -4, 0, h?
0
Let i = 8 - 6. Let j = -1 - i. Let k be 4/(-1) - (-4 - 0). What is the nearest to k in -1/6, 2, j?
-1/6
Suppose 9 = 4*j - 15. Suppose 6 = -3*o + 6*o + 3*t, -j = -5*o - 3*t. Let v be ((-2 + 4)*1)/3. Which is the closest to 0.1? (a) o (b) 0.4 (c) v
a
Let y = -14 - -9. Let o = 0.2 - 0.3. Let t = o - 0. Which is the nearest to -1/2? (a) y (b) t (c) -1
b
Let w = 1.8 - -3.28. Let m = w + -0.08. What is the closest to 0.2 in -4, m, 0?
0
Let q = -5 + 5. Let f = -14099/35 - -1962/5. Let h = -10 - f. Which is the closest to q? (a) h (b) 1 (c) 3
a
Suppose -5*x + 14 = 3*a, 8 = -2*a + 4. Let d be (-6)/(-3) - (-33)/6. Let c = 7 - d. What is the nearest to c in x, 0, 4/9?
0
Let v = -31 + 31.5. Let f(c) = c**3 - 3*c**2 - 7*c - 1. Let j be f(5). Let x be ((-2)/j)/((-1)/2). What is the closest to -0.1 in x, -3, v?
x
Let m = 2/41 - -158/123. Which is the nearest to 0.1? (a) m (b) 1 (c) -1/7
c
Let z = -73 - -68. Which is the closest to 0? (a) -0.4 (b) z (c) 2/9
c
Let t = 0.3 + -0.2. Let v = 9 + -4. Let m(d) = d**3 - 4*d**2 - 4*d. Let k be m(v). Which is the closest to t? (a) k (b) -3 (c) -0.2
c
Let n = -0.01 + 2.01. What is the closest to -0.1 in -3, n, -4?
n
Let l = 211 - 212.09. Let p = -0.09 - l. Which is the nearest to 0.1? (a) 2/7 (b) 0.1 (c) p
b
Let g = 5 + -5.3. Let h = -0.09 + 0.07. Let f = h - -2.02. Which is the closest to f? (a) -4 (b) g (c) 0.4
c
Let z = -10.7 + 10. Let a = z + 0.3. Let i be (2/(-5))/((-7)/5). What is the nearest to i in 0.1, -0.5, a?
0.1
Let r = 21/11 + -85/33. What is the nearest to r in -2/21, -5/3, -5/2?
-2/21
Let n(o) = o**3 - 4*o**2 - o + 4. Let z be n(3). Let u = z + 9. What is the nearest to u in -2, 0.3, -1/3?
0.3
Let j = 0.3 + -0.4. Let m be (-1 - (0 - 1)) + -2. Let k be 6/8*m/(-6). Which is the nearest to 0.1? (a) -2/17 (b) k (c) j
b
Let h = -10 - -14. Which is the nearest to -2/7? (a) h (b) -2 (c) -1/6
c
Suppose 0 = 8*w - 558 + 526. Let n = -178/171 - -24/19. Which is the closest to 0.1? (a) 5 (b) w (c) n
c
Let d = -28 - -28. What is the closest to d in 0.1, 1/2, 2?
0.1
Let c be 11/(-33) + 5/((-30)/(-4)). What is the closest to c in 1/4, 0, 0.4?
0.4
Let w = -0.4 + 0. Let t = -7.83 + -0.17. Let h = 8.3 + t. Which is the nearest to 2/7? (a) 0.4 (b) w (c) h
c
Let z = -2.7 - -4.7. What is the nearest to -1/2 in 0, z, 0.3?
0
Let g = 4 - 4.1. Let d = -642/5 + 128. Which is the closest to g? (a) 3 (b) -1/5 (c) d
b
Let t be 24/(-32) + (-6)/(-8). Which is the closest to t? (a) 4/3 (b) 5/2 (c) -0.6
c
Let t = 24 - 22. Which is the closest to -0.06? (a) -2 (b) 1/6 (c) t
b
Let i = 6/25 + 13/50. Which is the nearest to i? (a) -4 (b) -2/9 (c) -1/2
b
Let n = 33 + -29. What is the closest to -1/2 in n, -2, 0?
0
Let d = -0.7 + 1.5. Let o = d - 0.6. Let k = -1 - -1. Which is the closest to k? (a) -3 (b) -0.4 (c) o
c
Let i = 3997/3 - 1344. Let v = i - -12. Which is the closest to 1? (a) -1 (b) v (c) 5
b
Let r = -11 - -9. Which is the closest to r? (a) -3 (b) 6/5 (c) -0.3
a
Let q = -0.57 + 0.07. Let y(h) = -h**3 + 6*h**2 - h + 6. Let w be y(6). Which is the closest to w? (a) -2/15 (b) -0.4 (c) q
a
Let q be 9/12*(-2)/(-6). Let s be (6 + -12)/(0 - 2). What is the nearest to q in -0.3, s, 5?
-0.3
Suppose 0 = -3*j + 2*j + 3. Suppose -2*b = b - 3. Suppose -j*i + b = 7. What is the nearest to 0 in i, -0.2, 0.5?
-0.2
Let z = 4.4 + -4.4. What is the closest to z in -0.3, -0.2, 0.1?
0.1
Let z(n) = -n + 1. Let p be z(-5). Let l(k) = -k**3 - k**2 + k - 4. Let g be l(0). Let r = p + g. Which is the closest to -1? (a) r (b) 5 (c) -1
c
Let o = -6 + 6.8. Let j = -0.4 + o. Let s = 0.2 - -0.8. Which is the closest to s? (a) j (b) -0.3 (c) 0.2
a
Let l = 0.6 - 0.7. Which is the nearest to l? (a) 0.1 (b) -2 (c) -2/5
a
Let u be (-476)/595 + (-2)/(-10)*4. Let z(o) = -o**3 - 4*o**2 - o. Let l be z(-4). Which is the closest to -1? (a) u (b) l (c) 1/4
a
Let t = 4 + -3. Suppose 4*u - 24 = 2*d, -u - 5 = 2*d - 11. Let f be (-1 - (-2 + 3)) + u. Which is the nearest to -1? (a) t (b) f (c) -0.4
c
Let m = 0 - -1. Suppose 16 = -4*j + 4*c, j + c + c = -1. What is the nearest to j in -1, m, 0.4?
-1
Let n = -2 - -1. Suppose 4*i + 0*i + 5*g + 45 = 0, -15 = 3*g. Let f be (-2)/6*5/i. Which is the nearest to n? (a) -1 (b) 0 (c) f
a
Let d = 0.05 + -20.05. Let k = 20 + d. What is the nearest to 1 in k, 1/5, 1/2?
1/2
Let k(z) = -z + 1. Let j be k(-4). Suppose 2*x = -3*f - 19, -5*f + j = -x + 28. Let s be 34/(-8) - x/8. Which is the nearest to -2/5? (a) 3 (b) -1 (c) s
b
Let d be (-2)/(3*(-2)/(-6)). Let m = 0 - 0.1. What is the nearest to -0.1 in -3/7, d, m?
m
Let o = -33 - -101/3. Let q = -629/90 - -62/9. Let r = 1/10 - q. Which is the closest to o? (a) 4 (b) r (c) -0.4
b
Let b = -26 - -28. What is the closest to b in -5, 2/13, -0.2?
2/13
Let k = 10.4 + -10. Let f = k - 0.3. What is the closest to f in -2/5, -1, -1/5?
-1/5
Let p be (-3)/3 - (-21)/15. Let t be 4*1/((-8)/(-6)). Which is the closest to 0.1? (a) t (b) p (c) -1
b
Let h = -14.8 - -15. Which is the nearest to 1? (a) 3 (b) h (c) 0
b
Let q be (660/(-48) - 2/8) + 2. What is the nearest to -2 in q, -0.5, 0?
-0.5
Let b = -2.56 - 0.34. Let t = b + 0.9. Let k be 1/(-4) + 3/(-20). What is the nearest to -2 in 5, k, t?
t
Let g be (252/(-435))/((-27)/(-10)). Let t = -2/261 + g. What is the closest to 0.1 in -0.2, t, -0.1?
-0.1
Let v = 768/7 + -110. Let y = 46 + -45.73. Let x = -0.47 + y. What is the nearest to v in 1/4, 5, x?
x
Let g(k) = k + 9. Let b be g(-7). Let u be b/(-13) + 24/663. What is the closest to -2 in u, -3, 1/5?
-3
Let r = -128 - -122.1. Let t = 6 + r. Let m = 1 + -1. Which is the nearest to m? (a) t (b) -0.3 (c) -3/8
a
Let w = -52 - -52. What is the nearest to -1 in w, -1/4, -4?
-1/4
Let t be 3/1 + (-7)/3. Which is the nearest to t? (a) -2/3 (b) 4 (c) -0.3
c
Let c be (-6)/10 + (-2)/(-5). Let i = -3.2 + 3.3. What is the closest to i in 1/3, -1, c?
1/3
Let g = 2.064 - 0.064. Suppose 0*t + t = 3. Let h = 1 - 1.1. Which is the nearest to h? (a) g (b) 3/5 (c) t
b
Let v = -66 + 70.1. Let o = v + -4. What is the closest to 0 in -2, o, 4?
o
Let f = -0.8 - 0.2. Let t = -0.4 - -0.3. Let y = t - 0. What is the closest to y in -2/19, f, 5?
-2/19
Let l = -9 - -11. Suppose y - 2 = l. Which is the nearest to y? (a) 1 (b) -5 (c) -1
a
Let g = -5.86 + -0.14. Let s = 7 + g. Which is the nearest to 0.1? (a) -3 (b) -5 (c) s
c
Let s = 0 + 0. Let g = 1/2 - -5/6. What is the closest to -0.1 in g, s, 2/3?
s
Let f be (24/(-504))/(1/6). Suppose -4*n = w - 7, 5*n + 4*w = w. What is the closest to -1/2 in f, 2, n?
f
Let x = 10 - 9.6. Suppose 3*q - 91 = 2*q. Let z = q + -461/5. Which is the nearest to 1? (a) 1 (b) z (c) x
a
Let b = -12.5 - -13. Let l be (-3)/(-9)*(2 + -1). Let r = -0.3 + 0.2. What is the closest to 2/7 in l, b, r?
l
Let l = -1 - 0. Let m = -0.442 + 3.442. Which is the closest to 0.1? (a) 3/4 (b) m (c) l
a
Let d = 98 - 95. Which is the nearest to -1? (a) d (b) -2 (c) -0.1
c
Suppose 2*g + 16 = 8. Let o = 2 - 2.1. What is the closest to -0.1 in g, o, -0.5?
o
Let z = 103/26 + 46/13. Which is the closest to -1? (a) 2/23 (b) 0.2 (c) z
a
Let m = 4.1 + 0.9. Suppose u + 26 = -2*q - 3*q, -4*q = -4*u + 16. Which is the closest to 1? (a) 1/3 (b) m (c) u
a
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
Let v = 8370 - 6945. What is the units digit of v?
5
Suppose -g - 2 - 1 = 0, 0 = -3*p - 5*g + 183. Suppose -2*t - 149 = -3*t - 3*u, 665 = 5*t - u. Let f = t - p. What is the tens digit of f?
6
Suppose -11*c = -14*c. Suppose b - 4*o = 461, -5*b + 14*o - 9*o + 2230 = c. What is the tens digit of b?
4
Suppose 15*j = 13*j + 1100. Let d = j - 216. What is the units digit of d?
4
Suppose 2425 = -4*j - 2*m + m, -4*m + 1190 = -2*j. What is the hundreds digit of 11/(j/(-29117)) - 2/5?
5
Let j(c) = 5*c - 6 - 2*c - 9*c + 23. Let f be j(2). Suppose f*d - i = 1007, d - i = -3*d + 805. What is the hundreds digit of d?
2
Suppose 5*n - 12874 - 5481 = u, 4*n - 14675 = -u. What is the thousands digit of n?
3
Let d = 50 - 48. Suppose 4*t - 6*a = -d*a + 32, -t - 4*a - 12 = 0. Suppose -2*i = 4*l - 80, t*l + 2*i - 7*i - 108 = 0. What is the tens digit of l?
2
Let s be 21/6*(-6)/(-21). Let d be (-12 + 12)/(s + 0). Suppose d = -16*p + 160 + 512. What is the units digit of p?
2
Suppose 2*h = -3*t + t - 30, -h - 7 = 3*t. Let k(m) = 262*m - 124. Let l be k(1). Let x = h + l. What is the tens digit of x?
1
Let h(q) = 5 - 4 - 4 - 3*q. Let k be h(-2). Suppose -58 = -k*w + 95. What is the tens digit of w?
5
Let z(q) = -3*q**2 - 14*q - 8. Let p be z(-4). Suppose -5*m + 71 - 6 = p. Suppose -m*a + 236 = -1064. What is the hundreds digit of a?
1
Let x(g) be the first derivative of 2*g**3/3 - 3*g**2 - 30*g - 48. Let o be x(6). Suppose -292 = o*w - 10*w. What is the units digit of w?
3
Let w(m) = m**2 - 13*m - 9. Let i be w(14). Suppose -2 = -4*b + 6. Suppose -i*g = -b*g - 642. What is the hundreds digit of g?
2
Let v(t) be the third derivative of -t**5/60 + 4*t**4/3 - 27*t**3/2 - 300*t**2. What is the units digit of v(6)?
5
Let w(r) = -r**3 + 6*r**2 - 39*r - 25. What is the tens digit of w(-12)?
3
Let q = -1900 - -8971. What is the tens digit of q?
7
Let b = 72809 - 35985. What is the thousands digit of b?
6
Let g be (-21)/9*1428/(-4). Suppose -3*c + g + 91 = 0. Suppose -6*r = r - c. What is the tens digit of r?
4
Suppose -s - u + 0*u = -4, -2*u - 17 = -3*s. What is the units digit of 6826/s + (-5)/25?
5
Suppose 32*a - 230719 = -30*a - 53833. What is the units digit of a?
3
Suppose 13353 = -3*r + 3*d + 78624, -3*r - d + 65291 = 0. What is the ten thousands digit of r?
2
Suppose -15*o + 36*o = 294. Suppose 21720 = -2*y + o*y. What is the hundreds digit of y?
8
Let d(n) = -n**3 + 4*n**2 - 22*n + 35. Let k(i) = 3*i**2 - 24*i + 34. Let z(p) = -3*d(p) + 4*k(p). What is the hundreds digit of z(6)?
4
Suppose -16*y = -19*y - 1335. Let u = y + 519. What is the units digit of u?
4
Let t be (80/(-12) - -7)/((-1)/(-30)). Suppose -5*v + 3*g + 206 + 1112 = 0, 4*v + 2*g - 1072 = 0. Suppose t*q - v = -4*q. What is the tens digit of q?
1
Let a(g) = 327*g**3 + 4*g**2 + 3*g. Let l(x) = -653*x**3 - 9*x**2 - 6*x + 1. Let f(c) = -5*a(c) - 2*l(c). What is the tens digit of f(-1)?
2
Let m = 10953 - 5438. What is the thousands digit of m?
5
Suppose 39*y + 24*y + 25*y = 932976. What is the ten thousands digit of y?
1
Let q = -145 + 50. Let f = q + 199. What is the hundreds digit of f?
1
Let w = -27 + 147. What is the units digit of 80*(6 + w/(-32))?
0
What is the thousands digit of -5 + 10056 - (6 + -1)?
0
What is the units digit of ((-1)/6)/1 - (-60922387)/3966?
1
Suppose -4 - 7 = -2*a - 3*u, -2 = 2*u. Suppose -a - 20 = -3*n. Suppose 1194 = n*s + 276. What is the hundreds digit of s?
1
What is the hundreds digit of 1100/660*(-7827)/(-5)?
6
Let l(o) = -3*o - 4. Let a be l(0). Let t be (0/a)/((-1)/1). Suppose 10*k + t*k = 1650. What is the tens digit of k?
6
Let y be 5 + (-12)/4 + -2. What is the hundreds digit of (-9 - -8 - y)*199/(-1)?
1
Suppose -3320 = -13*u + 6469. Suppose 2*k = 0, -u = -w + 3*k + 156. What is the units digit of w?
9
Let m(o) = 14 + 4*o - o**3 + 9*o**2 + 4*o - o**2. Suppose 0 = 10*t + 5*t - 16*t + 8. What is the tens digit of m(t)?
7
Let j(s) = 102*s**2 - 2*s - 18. Let m be j(-6). Suppose x - 14*x = m. Let w = 446 + x. What is the tens digit of w?
6
Suppose -4*h = -2*h - i - 29, 5*i + 33 = 3*h. Let m(o) = 9*o - h*o**2 + 6*o**2 - o**3 + 0*o**3 + 13 + 21*o**2. What is the units digit of m(11)?
2
Let z(p) = 11*p - 1. Let d be z(1). Let s(h) = 3*h + 10*h**2 - 4 - 19*h**2 + h**2 + h**3. What is the units digit of s(d)?
6
Suppose -79 - 236 = -9*d. Suppose 3*x = d - 26. Suppose 0 = -2*h - x*w + 84, h - 210 = -4*h + w. What is the units digit of h?
2
What is the units digit of ((-14)/(-4) - (0 + 3)) + 2523/6?
1
Suppose -472 = 6*o + 2*o. Let l = o + 58. What is the units digit of l/(4/(-152)) + -2?
6
Let i be 12/15*(2/(-4) + 3). Suppose k = i*k - 116. Suppose k = 3*r - 5*j, j = -r - r + 73. What is the tens digit of r?
3
Suppose -5*l = -10, -3*r + l = 5*l - 530. Suppose 173*p + 331 = r*p. What is the hundreds digit of p?
3
Suppose -3*b + 2*o - 44 = -0*o, 0 = 3*b - 5*o + 56. Let f(u) = -2*u**3 - 21*u**2 + 9*u + 26. What is the hundreds digit of f(b)?
3
Let y(l) = 2329*l**2 - 66*l + 167. What is the tens digit of y(3)?
3
Suppose 2*q = -p + 29728, 390*p - 392*p + 4*q + 59408 = 0. What is the ten thousands digit of p?
2
Suppose 4*d = 2*k - 4, 0 = -d + k + k + 5. Let t be (-14)/(-3)*36/(-12)*d. What is the tens digit of (-2)/(-7) + 3936/t?
9
Let n(f) = -1 - 1 - 4*f + 655*f**2 + 6 + 258*f**2 - 59*f**2. What is the tens digit of n(1)?
5
Let w = 157 - 155. What is the hundreds digit of w*9/(-30)*-605?
3
Let a = 703 - 343. Suppose a = 2*v - v + f, 0 = -2*v + f + 717. What is the units digit of v?
9
Let d(f) = 4 - 9*f - 7*f + 37*f - 6*f. Let c be 2/(-1) - (-2 - 3). What is the tens digit of d(c)?
4
Let z(f) = 9*f**2 + 2*f + 3. Let o be z(4). Suppose 601 + 239 = 30*l. Suppose -l - o = -u. What is the units digit of u?
3
Let t(b) = 9*b - 5. Let u(g) = 7*g - 6. Let m(l) = 11*l - 9. Let y(x) = 5*m(x) - 8*u(x). Let h be y(-7). What is the units digit of t(h)?
5
Let y(o) = 39*o**2 + 8*o - 40. Let p(n) = -77*n**2 - 17*n + 79. Let b(s) = -6*p(s) - 11*y(s). What is the thousands digit of b(7)?
1
Let k(w) be the second derivative of -7*w**4/8 + 3*w**3/2 + 8*w**2 - 27*w. Let g(a) be the first derivative of k(a). What is the tens digit of g(-4)?
9
What is the ten thousands digit of (-8)/(-20)*-35 - -27392?
2
Let s(n) = -n**3 + 28*n**2 - 147*n + 2454. What is the hundreds digit of s(21)?
4
What is the units digit of 52/(36/9) + 9691?
4
Suppose x = 4*c - 3582 + 259, 4*x - 3348 = -4*c. Suppose c - 88 = -3*m. Let h = -116 - m. What is the tens digit of h?
3
Let h = -255 - -273. Suppose h*f + 5*f - 14214 = 0. What is the tens digit of f?
1
Let x = -3602 + 3815. What is the tens digit of x?
1
Let a(f) = -9*f + 6. Let v(o) = o**3 + 12 - 11*o**2 - 4 + 0*o**3 + 0*o**3 + 9*o. Let y be v(10). What is the tens digit of a(y)?
2
Suppose 2*c = -4*q + 46434, 5*c - 32*q - 116099 = -35*q. What is the tens digit of c?
2
Suppose 563*u - 558*u = -1290. Let d = u + 659. What is the units digit of d?
1
What is the hundreds digit of 1 - 5/7 - (0 + 449272/(-56))?
0
What is the thousands digit of -1 + -2 + 27/6 + 19699/2?
9
Suppose 7540 = -50*n + 21*n. Let g = -142 - n. What is the units digit of g?
8
Suppose -51*c = -28*c - 115. Suppose -3891 = -c*w + 1069. What is the tens digit of w?
9
Suppose 4*k = -5*b + 43218, 234*b - 235*b + 2 = 0. What is the hundreds digit of k?
8
Suppose -9*w - z = -18*w + 91744, 3*w + 2*z = 30586. What is the thousands digit of w?
0
Let i be 63/(-2) + 55/110. Let m(w) = 2*w + 97. What is the units digit of m(i)?
5
Let t(x) = -2 + 30 + 31 + 2*x - 5. Let y be t(-26). Let a(v) = 23*v**3 + v**2 - 3*v + 1. What is the tens digit of a(y)?
8
Let v = 31 + -37. Let n(c) = -c**3 - 8*c**2 - 12*c + 2. Let l be n(v). What is the tens digit of (3 - -187)/(4 - l)?
9
Let k(y) = y**2 - 14*y + 5. Let u be k(14). Let h be -3*u/5 + 1*22. Suppose f = 76 - h. What is the tens digit of f?
5
Suppose -60461 = -11*z + 82616. What is the ten thousands digit of z?
1
Suppose 4*s = -6*a + 13642, -a + 56*s = 55*s - 2282. What is the thousands digit of a?
2
Let a = -1291 + 3523. Suppose 25*s - 33*s + a = 0. What is the units digit of s?
9
Let p(s) = 41*s - 157. Let g be p(10). Suppose -g*o = -255*o + 634. What is the units digit of o?
7
Let k(n) = 822*n**2 - 3*n + 41. What is the hundreds digit of k(3)?
4
Suppose -5*k = -9 - 1. Suppose -18
|
{
"pile_set_name": "DM Mathematics"
}
|
base 8?
-5232
What is -1322113 (base 4) in base 13?
-3745
11121323 (base 4) to base 9
33328
What is -201000 (base 3) in base 7?
-1332
Convert -123543 (base 7) to base 9.
-34380
Convert -1010001101101 (base 2) to base 6.
-40113
Convert 300 (base 7) to base 3.
12110
What is -767 (base 9) in base 3?
-212021
425304 (base 6) to base 12
18234
What is -b01b (base 16) in base 7?
-245303
Convert 8804 (base 15) to base 4.
13002010
What is 14122 (base 10) in base 6?
145214
Convert -337 (base 12) to base 10.
-475
-15434 (base 6) to base 12
-157a
77a (base 11) to base 2
1110100110
What is -1235 (base 15) in base 3?
-12022112
71007 (base 9) to base 12
23007
Convert 305 (base 11) to base 5.
2433
5865 (base 12) to base 8
23215
Convert 101211212 (base 3) to base 15.
2522
Convert 263 (base 16) to base 15.
2ab
What is 114033 (base 7) in base 2?
101000001111100
Convert 331 (base 11) to base 14.
205
Convert -15a (base 14) to base 3.
-101020
Convert 12010 (base 4) to base 9.
471
What is 415155 (base 6) in base 9?
51018
What is -10200330 (base 4) in base 2?
-100100000111100
What is -17e5 (base 16) in base 12?
-3659
Convert 20b1 (base 12) to base 14.
1445
Convert 1b4b8 (base 13) to base 16.
d133
34c0 (base 13) to base 14
29c3
-32a6a (base 11) to base 8
-135377
-235130 (base 6) to base 4
-11001132
Convert 26051 (base 9) to base 15.
52e7
What is -11100101101 (base 2) in base 14?
-953
Convert 617 (base 11) to base 12.
520
What is -111010000100 (base 2) in base 3?
-12002122
Convert -74101 (base 10) to base 14.
-1d00d
Convert 10012212002 (base 3) to base 8.
173525
What is 2dd0 (base 14) in base 12?
490a
Convert -4828 (base 12) to base 10.
-8096
Convert 37d1 (base 14) to base 10.
9787
610 (base 7) to base 4
10231
Convert 5603 (base 8) to base 13.
1459
Convert 1275 (base 9) to base 7.
2540
Convert 3404 (base 9) to base 11.
1987
254 (base 10) to base 12
192
-121c (base 14) to base 7
-12135
Convert 34a (base 16) to base 7.
2312
-5a1 (base 12) to base 14
-441
-43c3 (base 13) to base 4
-2103232
What is 111111101010100 (base 2) in base 9?
48637
What is 330a (base 12) in base 3?
21201101
What is 7854 (base 9) in base 5?
141200
Convert -12333 (base 8) to base 15.
-18ae
What is -597 (base 10) in base 11?
-4a3
Convert -1053 (base 7) to base 6.
-1433
What is 14331 (base 5) in base 2?
10011000000
What is -36868 (base 9) in base 15?
-7512
Convert -597 (base 16) to base 9.
-1860
What is -11ab (base 13) in base 9?
-3385
What is 24 (base 10) in base 7?
33
1728 (base 11) to base 2
100010100000
-5b4 (base 14) to base 15
-50d
-5397 (base 11) to base 13
-3320
What is -648 (base 11) in base 5?
-11103
-111000101100 (base 2) to base 6
-24444
-223 (base 6) to base 11
-7a
-1010100000111 (base 2) to base 3
-21101101
What is 172 (base 8) in base 6?
322
Convert -8599 (base 10) to base 4.
-2012113
-242101 (base 6) to base 5
-1134310
What is 244304 (base 6) in base 10?
21712
What is -50a2 (base 14) in base 16?
-3626
Convert -111202021 (base 3) to base 6.
-114224
What is -230d (base 14) in base 3?
-22100112
-12013 (base 7) to base 11
-2366
Convert 20711 (base 8) to base 15.
2869
Convert 6d54 (base 16) to base 4.
12311110
-100523 (base 6) to base 2
-1111100100011
-323302 (base 5) to base 2
-10101101000101
-10222112 (base 3) to base 15
-cd8
What is -2ed (base 16) in base 3?
-1000202
Convert -10110111100 (base 2) to base 7.
-4165
-7f04 (base 16) to base 6
-410312
What is 1b3 (base 12) in base 5?
2104
-22201 (base 4) to base 11
-562
-4203 (base 7) to base 11
-111a
Convert -485b (base 16) to base 11.
-12a0a
-14474 (base 9) to base 7
-40525
2187 (base 15) to base 9
10661
294 (base 12) to base 4
12100
Convert 11233210 (base 4) to base 5.
1223044
402 (base 16) to base 12
716
-3130 (base 4) to base 10
-220
80b (base 16) to base 11
1602
-190bb (base 13) to base 2
-1011110101101000
What is 96f1 (base 16) in base 15?
b6b1
-2245 (base 6) to base 12
-385
Convert 10228 (base 10) to base 4.
2133310
What is 152a4 (base 11) in base 2?
101010010010100
-4111 (base 7) to base 9
-1857
What is -168d (base 14) in base 11?
-3048
What is -2121220 (base 4) in base 5?
-303312
What is 1151 (base 7) in base 6?
1552
What is -13453 (base 9) in base 2?
-10001110100000
-102042 (base 5) to base 14
-1349
-474 (base 8) to base 4
-10330
-2809 (base 16) to base 4
-2200021
What is 321 (base 16) in base 8?
1441
-3333021 (base 4) to base 14
-5d45
What is -1287 (base 9) in base 13?
-598
Convert 220022 (base 3) to base 4.
22100
What is 5358 (base 10) in base 12?
3126
1573 (base 8) to base 13
537
Convert -2413 (base 7) to base 14.
-47a
Convert 52320 (base 6) to base 4.
1231320
What is -3c41 (base 13) in base 15?
-2882
-12512 (base 6) to base 13
-b45
Convert 19922 (base 10) to base 8.
46722
What is -1101110 (base 4) in base 8?
-12124
333223 (base 4) to base 12
2437
-23025 (base 6) to base 11
-24a1
What is 274 (base 12) in base 6?
1424
What is -1e4 (base 16) in base 3?
-122221
What is -1345 (base 7) in base 14?
-295
What is -3721 (base 8) in base 14?
-a2d
Convert -1c00 (base 13) to base 16.
-1081
19b (base 15) to base 2
101110011
What is -8514 (base 10) in base 5?
-233024
What is -2b (base 13) in base 8?
-45
Convert 2860 (base 9) to base 14.
b04
What is 256646 (base 7) in base 10?
48005
c7 (base 13) to base 9
201
What is cc9 (base 15) in base 6?
21213
Convert -100211331 (base 4) to base 5.
-4133330
What is -2658 (base 11) in base 6?
-23551
16405 (base 10) to base 8
40025
589 (base 14) to base 13
669
Convert 130211 (base 4) to base 16.
725
Convert -5371 (base 8) to base 14.
-1049
Convert -241 (base 15) to base 6.
-2211
Convert -10101101010101 (base 2) to base 10.
-11093
11110100 (base 3) to base 12
1a69
217 (base 9) to base 11
152
What is 111444 (base 5) in base 10?
3999
-22100 (base 3) to base 11
-195
-1010202020 (base 3) to base 2
-101011110010000
30435 (base 7) to base 11
5640
What is -403 (base 9) in base 4?
-11013
Convert -30 (base 7) to base 15.
-16
Convert -102333 (base 4) to base 5.
-14330
What is 334 (base 12) in base 9?
574
Convert 4200 (base 5) to base 13.
334
What is 3321 (base 6) in base 9?
1044
28856 (base 10) to base 6
341332
Convert 110 (base 8) to base 4.
1020
Convert 503 (base 14) to base 7.
2603
What is -110111001111001 (base 2) in base 12?
-14449
601a (base 11) to base 2
1111101000111
Convert -12100 (base 3) to base 5.
-1034
What is 33010 (base 6) in base 12?
2766
What is -366d (base 14) in base 16?
-2521
Convert 28 (base 11) to base 3.
1010
What is 67a6 (base 11) in base 15?
29b9
Convert 114775 (base 9) to base 2.
10000111000101001
228 (base 11) to base 16
110
40c (base 14) to base 11
664
14799 (base 12) to base 6
341113
-4a8 (base 11) to base 6
-2442
-49c (base 16) to base 7
-3304
What is -521 (base 8) in base 4?
-11101
13213 (base 4) to base 2
111100111
-2443 (base 11) to base 13
-15b8
What is 642 (base 9) in base 5?
4044
-6a04 (base 11) to base 15
-2ad5
What is -32303 (base 4) in base 3?
-1022002
What is -143202 (base 6) in base 8?
-32562
What is 30b3 (base 14) in base 9?
12451
3000 (base 8) to base 14
7ba
-220101 (base 3) to base 12
-46a
What is -205553 (base 6) in base 4?
-10013031
What is -3516 (base 7) in base 15?
-5ac
5b58 (base 13) to base 12
7585
-41b0 (base 12) to base 14
-2896
7e (base 15) to base 14
87
What is -10110 (base 3) in base 14?
-69
Convert -2225 (base 9) to base 6.
-11335
-1262c (base 15) to base 10
-58767
What is -245005 (base 7) in base 3?
-2021122101
Convert -202315 (base 7) to base 13.
-128b9
Convert 21a4 (base 15) to base 13.
3325
Convert -19 (base 16) to base 13.
-1c
Convert -1010010000111011 (base 2) to base 8.
-122073
10618 (base 10) to base 14
3c26
-7e30 (base 15) to base 8
-64304
2d3 (base 14) to base 9
711
Convert 3341114 (base 5) to base 10.
58909
1632 (base 7) to base 14
352
321012 (base 4) to base 5
104104
Convert -55788 (base 9) to base 8.
-110351
-2015 (base 6) to base 16
-1bb
What is -23251 (base 6) in base 9?
-4524
What is -2036 (base 7) in base 11?
-599
What is 7b15 (base 12) in base 4?
3112001
What is 63636 (base 7) in base 10?
15756
What is 101200 (base 3) in base 9?
350
What is -1710 (base 10) in base 3?
-2100100
What is 130232 (base 4) in base 6?
12302
What is 12405 (base 6) in base 9?
2515
What is 11e (base 16) in base 14?
166
-1001010111 (base 2) to base 5
-4344
Convert 2919 (b
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the product of 316 and -116667?
-36866772
-1105495 * 11
-12160445
What is the product of 27690406 and -1?
-27690406
What is -6468 times -12504?
80875872
Product of -3053 and 36.429.
-111217.737
Work out -1.93 * 34423.
-66436.39
Calculate 29086*-14636.
-425702696
What is the product of -4988565 and -4?
19954260
-13.8 * 317266
-4378270.8
Calculate 20042*-16.67.
-334100.14
Multiply 6309.5 and -9.
-56785.5
What is -0.128 times -383?
49.024
Product of -0.011 and 3169.66.
-34.86626
-11605 * 12100
-140420500
Multiply -46265.28 and -0.52.
24057.9456
8 * 9968.83
79750.64
Multiply 1 and -36.00585.
-36.00585
5 times -5366868
-26834340
247*-72430
-17890210
What is the product of -3 and -8077957?
24233871
Calculate -5*-7296828.
36484140
Product of 15770.9 and 31.
488897.9
Calculate 338*0.2676.
90.4488
Multiply 5.142 and -454.
-2334.468
-89667336 times 0.3
-26900200.8
Calculate -1.403*-180.8.
253.6624
83.6129*-354
-29598.9666
What is -474334 times -149?
70675766
Calculate -4*0.0721635.
-0.288654
What is the product of 4910.696 and 0.5?
2455.348
51.56*987.94
50938.1864
Work out 75215930 * -0.4.
-30086372
215 times 4391.9
944258.5
Calculate 1.39*-4.2669.
-5.930991
-3.731483 times -0.075
0.279861225
What is the product of -589987 and -382?
225375034
Calculate 0.07*-300883.
-21061.81
What is the product of 120074 and 611?
73365214
Calculate 142.867*1.23.
175.72641
Multiply 0.5 and 62927.13.
31463.565
Calculate -0.2*10782.558.
-2156.5116
Calculate 5.4739*2.07.
11.330973
1889098 * -0.044
-83120.312
41640228*-0.4
-16656091.2
Multiply -0.10311278 and 0.06.
-0.0061867668
What is -9.7704 times 1649?
-16111.3896
-14260872 * 0.3
-4278261.6
Multiply -0.3 and 0.277515489.
-0.0832546467
What is the product of 241.8351 and 73?
17653.9623
What is the product of 40470.28 and -0.1?
-4047.028
0.0963 * 652
62.7876
-0.3 times -680079.22
204023.766
Product of -43.2 and -0.0537172.
2.32058304
What is the product of -181574 and 0.055?
-9986.57
-778 * 0.0227221
-17.6777938
Product of 0.9 and 1.513132.
1.3618188
Calculate -184.1*-1656.
304869.6
Product of -524941 and -0.36.
188978.76
What is -1.3 times 17119286?
-22255071.8
297197 times 0.029
8618.713
-0.016515246 times -2
0.033030492
Calculate -11549*-1730.
19979770
Calculate -1*-3606481.
3606481
Multiply -29454246 and 0.02.
-589084.92
-0.157942 times -638
100.766996
-0.029276 * -1613
47.222188
Multiply -0.097 and 0.97126.
-0.09421222
1186.503 times -6
-7119.018
-4063339 times 5
-20316695
0.09023*-241
-21.74543
-96 * -45471.6
4365273.6
Product of -0.3 and -0.00323542.
0.000970626
-227891*0.82
-186870.62
Calculate 0.1*-30730962.
-3073096.2
-49 times -1074803
52665347
0.032843*-3.78
-0.12414654
Work out -1859055 * 0.32.
-594897.6
Calculate 10762*-0.49.
-5273.38
What is the product of 2 and 267703797?
535407594
-0.2 times 948.52914
-189.705828
22275.56 times -5
-111377.8
Calculate 0.69764097*-0.4.
-0.279056388
What is the product of 0.17711051 and 4?
0.70844204
84.0302 * 3.9
327.71778
-1 times -2.737068
2.737068
Work out 561177 * 191.
107184807
3523639 * -2
-7047278
Multiply 1118714.4 and 0.3.
335614.32
What is -79313281 times -0.1?
7931328.1
-2202816 * -24
52867584
What is the product of 0.04192 and 178.4?
7.478528
533*-3.06469
-1633.47977
-0.03 times 0.0883866
-0.002651598
Work out -14 * 7867.44.
-110144.16
13961.086 * -0.2
-2792.2172
Product of -0.4 and 19.80803.
-7.923212
-5 times -583342.87
2916714.35
2*-604557
-1209114
Calculate 71614070*-4.
-286456280
What is -0.3 times -27084.597?
8125.3791
4 * -90384.31
-361537.24
Calculate -43860*-11.2.
491232
-0.115*144422
-16608.53
0.003619 times -0.5
-0.0018095
104.72967*-0.8
-83.783736
Work out 10.98284 * -155.
-1702.3402
Product of -1.8 and -7731274.
13916293.2
0.09574*-771.1
-73.825114
76813 times -33.8
-2596279.4
Calculate -16*2.313163.
-37.010608
Calculate -5628*-2.9626.
16673.5128
322.873 times 49
15820.777
0.07 times -189943428
-13296039.96
Calculate -25*0.0321733.
-0.8043325
Multiply -1.9024 and -1.43.
2.720432
What is -2294.704 times -5?
11473.52
0.0161 * -32.58
-0.524538
What is -60699.7 times 1993?
-120974502.1
Product of 703 and -12952.9.
-9105888.7
What is the product of -151544511 and -1?
151544511
Work out -5 * 157686725.
-788433625
Multiply -13859933 and -9.
124739397
-43385 times 16.55
-718021.75
Calculate 690.179*29.
20015.191
Product of 18942281 and -0.4.
-7576912.4
Multiply 7966.62 and 44.
350531.28
88968 times -0.1345
-11966.196
690 times 367584
253632960
What is the product of -16744631 and -4?
66978524
-0.1484 * -1.78894
0.265478696
-834796 * -0.49
409050.04
-0.012 * 1822130
-21865.56
912.162 times -5
-4560.81
What is -14255.9 times -0.0148?
210.98732
What is the product of -1297127 and -0.26?
337253.02
53*-69207.4
-3667992.2
What is -217.14704 times 2?
-434.29408
-306 * 127785
-39102210
-1.807681 times -12
21.692172
Product of 4.473 and 0.092.
0.411516
Multiply -25 and -2079510.1.
51987752.5
57347*-409
-23454923
What is -0.2 times 311804?
-62360.8
-79 * 410.3504
-32417.6816
4*-0.07598735
-0.3039494
What is the product of -37763061 and -2?
75526122
108140.1 * 0.3
32442.03
Multiply -0.1 and -13.2231.
1.32231
1143 times -926.85
-1059389.55
Product of 13295.2 and 205.
2725516
Product of -0.512 and 3014.
-1543.168
Calculate -0.1*-4271.33344.
427.133344
0.1*-6158698
-615869.8
-0.046*-91183
4194.418
What is the product of -14.5 and -2460245?
35673552.5
-0.05709 * -34046
1943.68614
Work out 1.0135824 * 0.01.
0.010135824
173.361*-176
-30511.536
Product of -64 and -82240.
5263360
Calculate 0.2265251*-9.
-2.0387259
Calculate -0.42*-79.98931.
33.5955102
Calculate -3.52*173366.
-610248.32
Calculate -0.127*412602.
-52400.454
-0.96 times 30483
-29263.68
What is -0.4 times 0.7507739?
-0.30030956
Product of 0.296 and -4.8672.
-1.4406912
What is the product of -44952 and 4?
-179808
-45*-388557
17485065
Calculate -161.425*-0.054.
8.71695
What is the product of 0.344 and 0.2734?
0.0940496
Calculate 1890710*-5.
-9453550
-4554.5326*-8
36436.2608
2607210*20.8
54229968
11817.68 times -3
-35453.04
1.4 * 7630515
10682721
-1827136 * -0.03
54814.08
Multiply -3.45 and -200309.
691066.05
What is -1 times 362892.2?
-362892.2
Calculate 0.9129909*14.
12.7818726
Calculate -74784.4*-433.
32381645.2
Product of -7304 and -675.
4930200
32176832*-0.3
-9653049.6
What is -2 times -4692.481?
9384.962
Multiply -0.271 and 235077.
-63705.867
What is the product of 1805 and 0.02221?
40.08905
What is the product of -15 and 90.10183?
-1351.52745
174 * -10858.1
-1889309.4
Product of -2027.1 and 0.1.
-202.71
1023.519 * 1.4
1432.9266
Calculate 0.5*183.32.
91.66
Work out 0.25 * 19714571.
4928642.75
Product of -1 and -3.171707.
3.171707
-139*-86016
11956224
4*1645.094
6580.376
Calculate -118*42.09.
-4966.62
0.93*1.3783
1.281819
-10880 * 0.16938
-1842.8544
What is 1911.798 times 116?
221768.568
What is the product of 61 and 76988?
4696268
Product of 0.2 and 52705.46.
10541.092
-159626853 times -2
319253706
What is the product of 10636143 and -2?
-21272286
Product of 0.1 and -157287684.
-15728768.4
Calculate -32860*-5.
164300
-4.4 times 13214.863
-58145.3972
-12688008 * 0.43
-5455843.44
What is the product of 366.0779 and -0.24?
-87.858696
-10 times 106.50557
-1065.0557
Multiply -370023054 and -0.5.
185011527
-0.3*-35928936
10778680.8
Multiply 348 and 78653.
27371244
Multiply 0.5 and -0.10340208.
-0.05170104
Product of 17792 and 49.25.
876256
Multiply 0.876 and 459.38.
402.41688
What is -141.1326 times 2?
-282.2652
-1.10136 * -90
99.1224
Work out -0.00203 * -4119.
8.36157
-4.62*625509
-2889851.58
Calculate -3*62010657.
-186031971
Calculate -3734132*0.4.
-1493652.8
What is the product of 14435289 and -3?
-43305867
Work out 1.6 * 30415152.
48664243.2
What is the product of 484340 and -0.04?
-19373.6
Calculate 0.05*72.3036.
3.61518
What is 0.05933757 times -56?
-3.32290392
-0.02315*8543
-197.77045
Multiply -176.912631 and 0.04.
-7.07650524
Calculate 0.080268567*0.6.
0.0481611402
What is 1.8602 times 20153?
37488.6106
2391 times 10211
24414501
Calculate 32576*3.662.
119293.312
161411 * -1789
-288764279
Calculate -0.1*-16784752.
1678475.2
Work out -0.42498 * 8.
-3.39984
Multiply -0.12 and -9240614.
1108873.68
0.08 * 9.04432
0.7235456
-21173142 * -60
1270388520
Multiply -892342.82 and -0.02.
17846.8564
-0.3*2623340
|
{
"pile_set_name": "DM Mathematics"
}
|
96
1838 (base 9) to base 15
642
What is -36526 (base 8) in base 14?
-5a18
What is 481 (base 9) in base 3?
112201
-2157 (base 10) to base 5
-32112
d020 (base 14) to base 11
24905
Convert 101001110101101 (base 2) to base 9.
32341
What is -2d8c (base 15) in base 13?
-4605
1014 (base 8) to base 11
437
What is -15035 (base 7) in base 10?
-4142
-71d6 (base 15) to base 11
-17085
-54 (base 15) to base 10
-79
-1183 (base 11) to base 5
-22133
Convert -1a25 (base 16) to base 5.
-203233
1113312 (base 5) to base 4
10311320
Convert 17026 (base 10) to base 9.
25317
Convert -102100 (base 5) to base 11.
-2611
What is 21220120 (base 3) in base 16?
1686
110000010010 (base 2) to base 5
44330
Convert 11343 (base 9) to base 8.
16624
-50 (base 8) to base 5
-130
What is 1512 (base 11) in base 8?
3635
b1 (base 15) to base 6
434
7d2 (base 14) to base 10
1556
Convert 134 (base 6) to base 2.
111010
-15a (base 15) to base 7
-622
What is 1012102201 (base 3) in base 4?
11301130
What is 2cd0 (base 15) in base 7?
40056
Convert 18561 (base 9) to base 10.
12853
Convert 2022202 (base 3) to base 2.
11010011110
What is -2262 (base 7) in base 14?
-432
42 (base 10) to base 11
39
-120 (base 16) to base 12
-200
Convert 3647 (base 9) to base 16.
a9c
Convert 400 (base 11) to base 10.
484
1708 (base 9) to base 7
3542
Convert 4104 (base 10) to base 15.
1339
What is 11001000 (base 2) in base 5?
1300
-548 (base 9) to base 14
-241
What is -2725 (base 8) in base 10?
-1493
What is -11775 (base 11) in base 2?
-100001000000101
Convert 15b2 (base 14) to base 15.
123a
What is 11012110 (base 4) in base 5?
1132014
What is -1205 (base 12) in base 4?
-133211
Convert -1141 (base 15) to base 11.
-2829
What is 744 (base 11) in base 3?
1020011
Convert -22134 (base 9) to base 5.
-432232
Convert 348 (base 9) to base 5.
2122
Convert -517 (base 10) to base 8.
-1005
ca6 (base 16) to base 6
22554
-1231130 (base 4) to base 10
-7004
Convert 16449 (base 12) to base 2.
111101111111001
What is 188 (base 10) in base 13?
116
3203232 (base 4) to base 16
38ee
67110 (base 10) to base 7
366441
What is -d2a (base 16) in base 4?
-310222
Convert 2aa9 (base 15) to base 12.
5373
Convert -412 (base 10) to base 4.
-12130
-c649 (base 14) to base 9
-51775
Convert -1326 (base 11) to base 4.
-122322
What is 70751 (base 8) in base 11?
1aa00
Convert -3016 (base 8) to base 14.
-7ca
Convert 10010111001010011 (base 2) to base 8.
227123
-12132 (base 5) to base 7
-2450
-3f5 (base 16) to base 13
-5cc
-2343 (base 5) to base 9
-426
1602 (base 10) to base 4
121002
1169c (base 16) to base 4
101122130
Convert -661 (base 7) to base 3.
-110111
Convert 2b5 (base 12) to base 5.
3200
11a (base 13) to base 12
140
Convert -45b1 (base 15) to base 4.
-3213013
What is -5422 (base 6) in base 12?
-872
What is -210330 (base 5) in base 6?
-52125
Convert -29b (base 16) to base 9.
-821
What is -7488 (base 9) in base 11?
-4157
What is 23010 (base 4) in base 3?
222020
20000 (base 4) to base 12
368
-43451 (base 7) to base 13
-4c3a
What is 532 (base 16) in base 15?
5da
Convert 5e (base 15) to base 9.
108
129 (base 12) to base 9
216
12202120 (base 3) to base 13
1bb1
Convert -e56 (base 15) to base 8.
-6237
Convert 21030221 (base 4) to base 13.
141bc
-30d (base 14) to base 3
-211021
-56b (base 12) to base 6
-3415
Convert 9396 (base 10) to base 7.
36252
-320514 (base 6) to base 11
-18687
Convert -1258 (base 9) to base 2.
-1110110000
What is -1021121221 (base 3) in base 2?
-110001010011011
What is -2a1 (base 15) in base 11?
-4a7
What is 9d66 (base 15) in base 13?
1227c
What is -15917 (base 10) in base 9?
-23745
Convert -7276 (base 15) to base 7.
-130341
Convert 5744 (base 9) to base 14.
179a
-121114 (base 5) to base 9
-6187
Convert -134551 (base 6) to base 4.
-3013003
232 (base 6) to base 3
10102
Convert 1010 (base 6) to base 2.
11011110
What is 4b7a (base 15) in base 3?
211001221
What is 10002201010 (base 3) in base 7?
342624
Convert 17780 (base 9) to base 3.
121212200
Convert -1d8 (base 15) to base 2.
-110101100
Convert -11001100001 (base 2) to base 11.
-1255
10219 (base 10) to base 7
41536
What is -100011010110 (base 2) in base 8?
-4326
What is -6e17 (base 16) in base 8?
-67027
What is 2377 (base 11) in base 3?
11021011
What is -24c (base 15) in base 7?
-1344
-1020222102 (base 3) to base 16
-60c2
What is 33 (base 9) in base 14?
22
-3321233 (base 5) to base 7
-330126
Convert 134 (base 13) to base 4.
3110
What is 133352 (base 6) in base 9?
18065
-17b (base 13) to base 6
-1131
Convert -334403 (base 5) to base 13.
-551a
Convert 220212102 (base 3) to base 4.
10123100
Convert -2416a (base 11) to base 14.
-c97d
Convert -101120 (base 3) to base 6.
-1153
Convert 29a (base 11) to base 7.
1011
11011100100101 (base 2) to base 14
5205
Convert 23102 (base 5) to base 2.
11001110100
What is -66215 (base 7) in base 14?
-607c
What is -569 (base 10) in base 7?
-1442
What is 7d4b (base 14) in base 8?
52477
What is 211132 (base 4) in base 14?
c34
Convert 2012032 (base 4) to base 3.
102210011
Convert -12210120 (base 4) to base 2.
-110100100011000
-553 (base 16) to base 8
-2523
Convert -1213 (base 8) to base 7.
-1620
What is -444423 (base 6) in base 5?
-2143221
What is -1110110000010 (base 2) in base 10?
-7554
What is -1494 (base 13) in base 12?
-1896
What is -240335 (base 6) in base 7?
-114560
Convert 180 (base 15) to base 3.
110210
-32415 (base 6) to base 7
-16022
Convert 98 (base 12) to base 9.
138
Convert 7427 (base 16) to base 4.
13100213
2200002 (base 3) to base 11
150a
Convert 42360 (base 8) to base 9.
26178
What is -80c (base 13) in base 11?
-1030
-41130 (base 9) to base 5
-1331311
What is -20403 (base 7) in base 14?
-1b73
What is -24001 (base 7) in base 11?
-4704
-672 (base 9) to base 15
-26b
31a5 (base 15) to base 16
2909
What is 68334 (base 9) in base 11?
31189
Convert -4010 (base 6) to base 4.
-31212
-101424 (base 6) to base 5
-230102
What is 120234 (base 7) in base 16?
54e4
Convert 28c (base 16) to base 15.
2d7
Convert 61d (base 15) to base 9.
1801
Convert 201220 (base 3) to base 4.
20121
Convert -a5a7 (base 13) to base 5.
-1213302
What is 22210221 (base 3) in base 2?
1100100011000
Convert -1eb8 (base 15) to base 3.
-100012002
What is -1000000110 (base 2) in base 12?
-372
What is 1120111 (base 3) in base 15?
517
215622 (base 8) to base 12
36016
What is 244240 (base 5) in base 8?
22150
-a8 (base 13) to base 7
-255
-26362 (base 8) to base 9
-16704
-111100110101110 (base 2) to base 12
-1603a
-32521 (base 6) to base 8
-10641
What is -71165 (base 8) in base 15?
-8a36
2961 (base 10) to base 14
1117
-23 (base 7) to base 2
-10001
-2644 (base 12) to base 15
-1467
What is -9646 (base 10) in base 9?
-14207
What is 1031 (base 6) in base 5?
1420
Convert 1804 (base 9) to base 8.
2545
What is b2 (base 13) in base 4?
2101
Convert -516 (base 8) to base 13.
-1c9
What is -103 (base 7) in base 10?
-52
What is 649 (base 12) in base 3?
1021010
b912 (base 12) to base 11
142a1
-1357 (base 9) to base 4
-100000
What is 2121 (base 11) in base 13?
137b
Convert 5225 (base 15) to base 9.
25728
What is 1222110 (base 3) in base 2?
10110100011
What is -102011110 (base 3) in base 4?
-1333023
Convert 941 (base 15) to base 16.
826
Convert 335a9 (base 11) to base 9.
73644
Convert -350 (base 6) to base 9.
-163
1220 (base 9) to base 11
757
-4626 (base 12) to base 9
-11633
10010003 (base 4) to base 11
11560
Convert -100 (base 2) to base 3.
-11
What is -22503 (base 6) in base 14?
-1251
-1820 (base 10) to base 11
-1405
What is -5218 (base 11) in base 12?
-4004
3648 (base 10) to base 4
321000
-3054 (base 7) to base 8
-2054
33 (base 15) to base 11
44
Convert 232 (base 12) to base 13.
1c1
-297 (base 11) to base 6
-1340
Convert -747 (base 8) to base 13.
-2b6
What is -33130 (base 7) in base 9?
-12344
Convert -3701 (base 9) to base 16.
-ac3
What is 3832 (base 11) in base 4?
1032010
Convert 75771 (base 9) to base 15.
ed1d
Convert -155503 (base 8) to base 15.
-11971
1093 (base 11) to base 5
21213
Convert 640c (base 15) to base 2.
101001010101010
16 (base 14) to base 8
24
-735 (base 8) to base 13
-2a9
Convert -4 (base 14) to base 2.
-100
Convert 9bf1 (base 16) to base 3.
2000202120
What is 24211 (base 7) in base 6?
45024
Convert 538 (base 9) to base 6.
2012
11101000110001 (base 2) to base 14
5601
What is c94 (base 13) in
|
{
"pile_set_name": "DM Mathematics"
}
|
t*v and give o.
2
Rearrange 13*t**4 + 34966*t**3 + 6 + 2*t - 1 - 34968*t**3 to o + g*t**2 + x*t + f*t**3 + v*t**4 and give o.
5
Rearrange 5*x**4 + x**4 - 23*x**2 - 26*x**2 - 10 + 33*x**2 + 0*x**4 to the form v*x + y + r*x**4 + w*x**2 + t*x**3 and give w.
-16
Rearrange -308*h**4 + h**2 + 4*h + h**3 + 60703853 - 60703855 + h**2 - 4*h to z*h + p*h**2 + c*h**3 + j*h**4 + r and give r.
-2
Rearrange -20*v**3 - 21 + 251*v**3 + 24 to the form p*v**2 + q + z*v**3 + u*v and give q.
3
Express 93 + 52*a - 93 + (3 - 3 + 6)*((4*a + 2*a - 4*a)*(-2 - 2 + 2) - 18*a + a + 11*a + 4*a - 3*a - 3*a) as d + v*a and give v.
-20
Express (-n**2 - 3*n + 3*n)*(-794 + 14893 - 6771 + 14953) as x*n + q*n**2 + w and give q.
-22281
Express (-327*y**4 + 27*y**4 - 34*y**4)*(3 - 4 + 0)*(0 - 1 - 6) as t*y**2 + v*y**3 + g*y**4 + z + q*y and give g.
-2338
Rearrange -64*p**2 + 2 + 30*p**2 + 874*p**2 - p to u*p**2 + y*p + f and give y.
-1
Rearrange (-872 + 872 + 23*l - 1 + 1 - 2*l + (0 + 0 + 2)*(2*l - 2*l - 2*l))*(1 - 3 + 1)*(-3 + 0 + 5)*(-2 + 6 + 4) + 0 + 0 - 2*l to k + x*l and give x.
-274
Rearrange (-14 + 22 + 16)*(5 - 3 - 6)*(-11*m + 47*m + 12*m) to the form g*m + s and give s.
0
Rearrange -178 + 0*c + 983 - 5*c - 3*c + 3*c to the form i + q*c and give q.
-5
Express -15314*k**3 - k + 271*k**2 + 15313*k**3 + 7 + 2 as s*k**2 + d + l*k**3 + r*k and give s.
271
Rearrange (-144*l**2 + 285*l**2 - 144*l**2 - 24*l)*(-2 + 4 + 6) - l**2 + 2*l**2 - 5*l**2 to the form i*l**2 + v + d*l and give d.
-192
Rearrange (-540 + 259 + 63)*(30*n - 30*n - 14*n**2) to the form y*n + k*n**2 + q and give k.
3052
Express -48*j**2 + 358*j + 17*j**2 - 354*j as p*j**2 + a*j + m and give p.
-31
Express -5*o**4 + 236254*o**2 - 472513*o**2 + 236261*o**2 + 3*o**3 - 75*o as i + l*o**2 + v*o**3 + h*o + x*o**4 and give v.
3
Rearrange -2*v**3 + 305*v - 53 + 6*v**2 - 12 + 63 to a + f*v**3 + g*v + q*v**2 and give q.
6
Express (-7*b + 16 + 3 + 5*b)*(-12 + 4 - 3)*(2*b + 2*b + 2*b)*(-3 + 0 + 4) in the form y*b + m + a*b**2 and give m.
0
Express (3 + 63*q - 130*q + 64*q)*(-86*q**3 - 103*q**3 + 37*q**3) in the form a*q**2 + l*q + m*q**3 + d + b*q**4 and give m.
-456
Rearrange 380*n**2 - 4*n - 375*n**2 - 265*n**4 + 2*n**3 + 111*n**4 to x*n**4 + u*n + s*n**2 + r + l*n**3 and give r.
0
Express -1167 - 4298*y - 1172 + 2339 in the form k*y + g and give k.
-4298
Express 4883*w - 2453*w - 2430*w - 9294*w**2 as n*w**2 + a*w + y and give n.
-9294
Express (8*h - 13*h + 1 + 0)*(-h + 0*h - 3*h + (-4*h + 2*h + 3*h)*(0 - 32 + 15)) as a + i*h + y*h**2 and give y.
105
Rearrange 347 - 8063*a**2 - 647 - 2*a**3 + 298 to the form n*a**3 + r + b*a**2 + s*a and give b.
-8063
Express 6*s**3 - 6*s**3 - 134*s**2 - 130*s**2 + s**3 - 14*s - 90*s**2 as z + t*s**3 + u*s**2 + y*s and give t.
1
Express 218*p + 243*p - 2 - 729*p + 8*p**2 + 5*p**2 + 239*p in the form r*p + z*p**2 + c and give c.
-2
Express (522 + 2973 + 4633)*(-2*n**3 + 4*n**3 + 0*n**3) in the form l*n**3 + k*n**2 + j*n + q and give l.
16256
Express (-1746668 + 1746668 - 38148*l)*(4*l**2 + 0*l**2 - 2*l**2) in the form r*l**3 + p + w*l**2 + y*l and give r.
-76296
Rearrange -10112 - r**2 + 827 + 5533 to the form i + q*r**2 + n*r and give n.
0
Rearrange -1 - 5960*c**2 + 0 + 2155*c**2 + 2281*c**2 to a*c + f*c**2 + v and give v.
-1
Rearrange (6*o - 2*o - 2*o)*(-5*o - 59 + 59) + 41 - 41607*o - 2*o**2 + 41607*o to the form s*o + c + p*o**2 and give c.
41
Express (410 + 30 + 321 + 1287 + 231)*(11 - 11 - 5*r) as z + c*r and give c.
-11395
Rearrange (8*i - 8*i - 7*i)*(-8 - 142 - 113 - 313 - 113) to the form g + j*i and give j.
4823
Express -3*j**2 + 2*j**3 - 197 + 0*j**2 - 18*j**2 + 27*j**2 - 5*j**2 in the form k*j**3 + z*j + x*j**2 + f and give f.
-197
Express 878*o**3 - 3*o + 6*o**4 - 4*o**2 + 881*o**3 + 874*o**3 - 2630*o**3 in the form m + x*o**4 + w*o**2 + q*o + d*o**3 and give q.
-3
Rearrange 2*q - 6 + 4596*q**2 - 4586*q**2 - 26 to the form k*q**2 + d + s*q and give k.
10
Express 4*z**2 + 42*z**3 + 0*z**2 + 0*z**2 - 2*z**2 + 1 - 4*z - z**2 in the form d*z + m + j*z**3 + w*z**2 and give m.
1
Express -2*i + 216923*i**2 - 216924*i**2 - 2*i - 11 - 3 + 1 in the form o*i**2 + u + t*i and give t.
-4
Rearrange -22 + 2*l**2 - 2*l**4 + 11*l**4 - 4*l - 11 + 0*l**2 + 53 to the form j + d*l**2 + h*l**4 + y*l + r*l**3 and give h.
9
Rearrange 1 + 19*f**3 + 28*f**2 - f**2 - 26*f**2 + 5 to the form v*f**2 + d + i*f**3 + m*f and give i.
19
Express -44*a + 25*a + 23*a + 649 - 1387 as g + h*a and give h.
4
Rearrange 863042*d + 227*d**2 + 460*d**2 - 863035*d to q*d**2 + c + f*d and give q.
687
Rearrange (-33 - 38098*s**2 + 121 - 26 - 62)*(s - s - 2*s**2) to g*s**2 + f*s**3 + a*s + d + m*s**4 and give m.
76196
Rearrange (-61*y**2 - 69*y**2 - 8*y**2)*(4 + 1 - 2) + (y - 1 + 1)*(y + 0*y + y) - 5*y**2 + 4*y**2 + 8*y**2 + 0 - 2*y**2 + 0 to v + j*y**2 + b*y and give b.
0
Express (3 - 1 + 1)*(t + 4 - 4) - 1 + 1 + 15*t + (3 + 3 - 5)*(-5*t - 2*t + 15*t) + 2*t + 4 - 4 in the form i + z*t and give z.
28
Rearrange -32*h**2 + 16*h**2 - 153*h + 17*h**2 + 16*h**2 - 15*h**2 + 18 to y*h + g*h**2 + k and give g.
2
Rearrange (-26 - 39 + 4*h + 54)*(-222 - 35*h + 222) to the form q + b*h + g*h**2 and give g.
-140
Rearrange (1 - 1 - 2)*(-10 - 1 + 3)*(-41*l - 27*l - 79*l) to g*l + k and give g.
-2352
Rearrange 5*q - 3*q**4 - 4*q**2 + 120*q**3 - 2*q - 126*q**3 + 135*q**3 to n*q**3 + l*q**2 + v + o*q + c*q**4 and give o.
3
Express -1 - 3 - 2*d + 5 + (-22 + 27 - 58)*(-13*d - 14*d + 14*d) in the form y + a*d and give a.
687
Express -377*j**3 + 159*j**2 + 378*j**3 - 16*j + 13*j as f*j + u*j**2 + r + i*j**3 and give i.
1
Rearrange 8*j - 6 + 307*j**2 + 295*j**2 - 3*j**3 - 625*j**2 + 4 to t*j**3 + x*j**2 + c + s*j and give t.
-3
Rearrange (-3 - 1 - 6)*(-4 - 6 + 1)*(23*r**2 + 24*r**2 - 18*r**2) to b*r**2 + q + v*r and give b.
2610
Rearrange 103*g - 219*g + 113*g + 2566 to w + z*g and give w.
2566
Express 44*k + 49 + 44 + 26*k - 14*k + 8*k in the form h*k + t and give h.
64
Rearrange -f - 3*f + 6*f - 2 + f + 8 + 3 + (-68 + 68 + 59*f)*(-4 + 5 + 1) to x + d*f and give d.
121
Express (5*n**2 - 2*n**2 - 2*n**2)*(1605 - 591 - 595) in the form x*n + r + h*n**2 and give h.
419
Rearrange -w + 3 - 3 + (3 - 3 + 1)*(1894*w - 634*w - 49399*w - 131092*w) to the form o + k*w and give k.
-179232
Express -318*c**2 + 9*c**3 + 318*c**2 + 233*c in the form j*c + x*c**3 + m*c**2 + q and give j.
233
Rearrange 2 + w - 2 - w + 4*w - 4*w + (-5*w + 0*w + 6*w)*(0 + 6 - 4) - 36*w - 64*w - 8*w - 8*w + 4*w - 4*w - 5*w - w + 0*w to x + f*w and give f.
-120
Rearrange -2*r**2 - 4*r**3 + 6*r - 49*r**3 + 2 + 71*r**3 - 3*r**2 + 4*r**2 to the form i*r**3 + q*r**2 + y + j*r and give q.
-1
Express (-4*a**3 - 6*a**3 + 2*a**3)*(-17*a + 166*a - 92*a)*(-4 + 3 - 1) as l*a**4 + x + p*a + t*a**2 + u*a**3 and give l.
912
Express -184 + 350 - 199 + 29*c as y*c + s and give s.
-33
Rearrange (-2 - 5 + 12)*(-3 + 2*m + 3)*(0 + 0 - 1)*(3*m**3 - 1 - 1 - 47)*(1 + 4 - 3) to c + u*m + q*m**4 + b*m**3 + h*m**2 and give u.
980
Rearrange (-424*s**3 + 62*s**3 - 107*s**3)*(4 + 6*s - 4) + (2*s + 5*s - 4*s)*(s**3 - 4*s**3 + 2*s**3) to c*s**4 + d*s**3 + a*s**2 + z*s + w and give c.
-2817
Rearrange (38301*v - 87292*v + 43978*v)*(-1 + 4*v - 1 - 7*v) to o*v + s*v**2 + g and give s.
15039
Express 23 - 4*o**2 - 4*o + 1 - 80*o**3 + 45*o**3 + 31*o**3 as r*o**3 + z*o + j*o**2 + x and give z.
-4
Rearrange 0*d**2 - d**3 + 3*d**3 - 2*d**2 + (0*d - 2*d + 3*d)*(-3*d**2 + 4*d**2 + d**2) - 7145148 + 7145148 + 555*d**3 to p*d**2 + c*d + n*d**3 + t and give n.
559
Rearrange -1027381 + 10838*i + 1027381 to the form l*i + v and give l.
10838
Rearrange -18 + 42 - 2458*a - 24 + 293*a + 3*a**2 to s + w*a**2 + t*a and give s.
0
Rearrange (28*d**4 - 424*d**3 + 424*d**3)*(3 + 8 + 1) + (0*d + 3*d - d)*(2*d**3 + 2*d**3 - 7*d**3) to w + o*d**4 + r*d**2 + q*d**3 + u*d and give o.
330
Rearrange ((0 + 1 + 1)*(2 - 1 - 2)*(8084 - 256*p**3 - 8084) + 4 - 4 - p**3)*(6*p - 2*p + 0*p)*(1 - 4 - 1) to w*p**3 + k*p + a + x*p**4 + r*p**2 and give k.
0
Express 3 - p**3 - 4 + 0*p**3 + 0*p**4 - p**4 - 5936*p + 5939*p in the form s*p + n*p**4 + t*p**3 + x*p**2 + u and give n.
-1
Express -3119*t**2 - 2 + 201*t**4 + 3314*t**2 - 205*t**4 in the form d*t**3 + i*t + z + w*t**4 + n*t**2 and give w.
-4
Express (0 + 0 - d)*(2815*d + 2809*d - 5620*d + 2144 - 81
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 190*g.
-463*g
Collect the terms in -249*g**2 - 4 + 250*g**2 + 5 - 1.
g**2
Collect the terms in 25 - 3*h - 2 - 23.
-3*h
Collect the terms in 1 - 941*r**2 + 0*r + 0*r.
-941*r**2 + 1
Collect the terms in -24*m**2 + 1073 - 1073.
-24*m**2
Collect the terms in -j + 13*j + 0*j.
12*j
Collect the terms in -2 + 0 + 2 + 10*x**3.
10*x**3
Collect the terms in -55*c**3 + 19*c**3 + 18*c**3 + 20*c**3.
2*c**3
Collect the terms in -8*i - 484*i**2 - 4*i + 467*i**2.
-17*i**2 - 12*i
Collect the terms in -11*t**3 + 5*t**3 + 26*t**3 - 4*t**3 - 11*t**3 - 4*t**3.
t**3
Collect the terms in -2*a**3 + 10*a**3 - 619 + 619.
8*a**3
Collect the terms in v**2 - 10981*v + 10981*v.
v**2
Collect the terms in 31*o**2 + 19*o**3 - 31*o**2.
19*o**3
Collect the terms in 4 - 3 - 8*u + 0*u.
-8*u + 1
Collect the terms in 6168 - 6168 - 5*t**2.
-5*t**2
Collect the terms in -44*u**3 - 3*u + 48*u**3 + 3*u.
4*u**3
Collect the terms in 14*d - 12*d - 16*d - 15*d.
-29*d
Collect the terms in 0*d**3 - 3*d**3 + 0*d**3 + 2*d**3.
-d**3
Collect the terms in -67*k**2 + 8*k**2 + 8*k**2.
-51*k**2
Collect the terms in -53*a + 16*a + 22*a.
-15*a
Collect the terms in 53*y + 56*y + 50*y + 40*y.
199*y
Collect the terms in -f - 4*f**3 + 8089 + f - 8089.
-4*f**3
Collect the terms in 0 - y**2 + 0 - 5*y**2.
-6*y**2
Collect the terms in -3*n + 3*n - 7*n.
-7*n
Collect the terms in -315*s + 315*s + 14*s**3.
14*s**3
Collect the terms in 9 - 17*q**2 - 9.
-17*q**2
Collect the terms in 101*v**2 + 8*v + 3*v - 7*v - 5*v.
101*v**2 - v
Collect the terms in 4*c - 11*c + 7*c + 17*c**3.
17*c**3
Collect the terms in 1 + 11*f + f + 10*f.
22*f + 1
Collect the terms in -6*d + 0*d - 2*d + 3*d.
-5*d
Collect the terms in 18*g + 5*g**2 - 8*g - 10*g.
5*g**2
Collect the terms in 12*h**2 + 10*h**2 - 13*h**2.
9*h**2
Collect the terms in -2*z**2 + 80*z - 73*z + z**2.
-z**2 + 7*z
Collect the terms in -35*v**2 + 2*v**2 - 5*v**2 + 6*v**2.
-32*v**2
Collect the terms in 96*r**2 + 67*r**2 + 17*r**2.
180*r**2
Collect the terms in 4 - 4 + 11*n.
11*n
Collect the terms in 187316*y + 187317*y - 374634*y.
-y
Collect the terms in 6 + p - 7*p**2 - p.
-7*p**2 + 6
Collect the terms in -a**2 + 9936*a**3 - 9951*a**3 + a**2.
-15*a**3
Collect the terms in -19*n + 5*n - 4*n - 8*n.
-26*n
Collect the terms in u**2 - 6*u**2 - 4*u**2.
-9*u**2
Collect the terms in 110*i - 54*i + 80*i.
136*i
Collect the terms in 119*o**3 - 200*o**3 + 2*o - 2*o + 79*o**3.
-2*o**3
Collect the terms in -11*f + 23*f + 42*f.
54*f
Collect the terms in -18 + 18 + 5*v**3 + 13*v**3.
18*v**3
Collect the terms in 0*o**2 - 9*o**2 + 40*o**2.
31*o**2
Collect the terms in -86*i**2 - 79*i**2 + 164*i**2.
-i**2
Collect the terms in -46*a**2 + 1352 - 1352.
-46*a**2
Collect the terms in 4496*j**3 + 0*j**2 - 4499*j**3 + 0*j**2.
-3*j**3
Collect the terms in 14*k + 4 - 4 - 7.
14*k - 7
Collect the terms in -509*r**2 + 123*r**2 + 34*r**2 - 367*r**2.
-719*r**2
Collect the terms in 20959 + 9*q - 20959.
9*q
Collect the terms in -6*i**3 - 11*i**3 - 8*i**3.
-25*i**3
Collect the terms in -8*w - 6 - 4 + 10.
-8*w
Collect the terms in 15 - 25 + 10 - t.
-t
Collect the terms in -5*j - 10*j + 5*j.
-10*j
Collect the terms in -14978 + 3*p**2 + 7489 + 7489.
3*p**2
Collect the terms in -1 - 367*z**3 + 1 + 372*z**3.
5*z**3
Collect the terms in -7*t**2 - 4*t**2 + 3*t + 12*t**2 + 20*t**2.
21*t**2 + 3*t
Collect the terms in -190*q**3 + 390*q**3 - 194*q**3.
6*q**3
Collect the terms in -4 - 6 - 122*y**3 + 10 + 124*y**3.
2*y**3
Collect the terms in 3*p**2 + 3064*p - 3064*p.
3*p**2
Collect the terms in -258*s + 136*s + 122*s - 5*s**2 + 4*s**2.
-s**2
Collect the terms in 36 - 17 - 19 + 11*b**2.
11*b**2
Collect the terms in 12*y**3 - 2*y - 20*y**3 + 2*y.
-8*y**3
Collect the terms in -6 + 6 + 0 + 2640*p.
2640*p
Collect the terms in -53*n**3 - 41*n**3 + 187*n**3 - 67*n**3.
26*n**3
Collect the terms in 5*m + m - 4*m.
2*m
Collect the terms in 1331*g - 2673*g + 1341*g.
-g
Collect the terms in 3 + 0*i - 6*i + 2*i - 2*i.
-6*i + 3
Collect the terms in -n - n - 7*n.
-9*n
Collect the terms in z + z + 13 - 28 + 35.
2*z + 20
Collect the terms in 0 + 3 - 3 + 12 - 2*p.
-2*p + 12
Collect the terms in -a + 1 + 2*a + 2*a.
3*a + 1
Collect the terms in -v**2 + 469*v**3 + 0*v + 0*v.
469*v**3 - v**2
Collect the terms in -52 - 30 + 76*p + 82.
76*p
Collect the terms in 5078*x - 7*x**2 - 5078*x.
-7*x**2
Collect the terms in 5*p + 12*p**3 - 5*p.
12*p**3
Collect the terms in -20*m**3 + 7*m**3 + 18*m**3.
5*m**3
Collect the terms in s**3 - 21*s + 21*s.
s**3
Collect the terms in 20*g**2 - 65*g**2 + 21*g**2 + 29*g**2.
5*g**2
Collect the terms in -2*s**2 + 76*s - 39*s + 4*s**2 - 13*s.
2*s**2 + 24*s
Collect the terms in 45*k**2 + 43*k**2 - 32*k**2.
56*k**2
Collect the terms in 1247*u - 257*u + 4 - 4 + 1.
990*u + 1
Collect the terms in -27*i + 10*i - i - i**2.
-i**2 - 18*i
Collect the terms in -y**3 - 3*y + 4*y + 2*y**3.
y**3 + y
Collect the terms in 7 + 3*x - 11 + 12 - 8.
3*x
Collect the terms in 49*w**2 - 27*w**2 - 29*w**2 - 20*w**2.
-27*w**2
Collect the terms in 150*d**2 + 0*d + 0*d - 99*d**2.
51*d**2
Collect the terms in b**3 + 9*b**3 - 3*b**3.
7*b**3
Collect the terms in -5*d**3 + 4*d**3 - 12*d**3 - 7*d**3.
-20*d**3
Collect the terms in 166*q - 495*q + 162*q + 165*q.
-2*q
Collect the terms in 29*x**3 - 51*x**3 + 20*x**3.
-2*x**3
Collect the terms in -1655 + t**2 + 1655.
t**2
Collect the terms in -2*h + 6*h - 70*h.
-66*h
Collect the terms in -12*l**2 - 15*l**2 - 20*l**2 + 45*l**2.
-2*l**2
Collect the terms in 5734*g**3 - 11462*g**3 + 5730*g**3.
2*g**3
Collect the terms in -5*t + 325*t**2 + 5*t + 0*t.
325*t**2
Collect the terms in 129*j**2 + 30*j**2 - 2*j - 46*j**2.
113*j**2 - 2*j
Collect the terms in 4383*n - 14*n**3 + 15*n**3 - 2194*n - 2189*n.
n**3
Collect the terms in -42*w**2 + 67*w**2 - 26*w**2.
-w**2
Collect the terms in -5 + 5 - 2 + 2 - 2*g.
-2*g
Collect the terms in -170*b**3 + 165*b**3 + 0*b**2 + 0*b**2.
-5*b**3
Collect the terms in -3*d - d + 3*d - 45.
-d - 45
Collect the terms in -2*z**3 - 200710*z**2 + 200710*z**2.
-2*z**3
Collect the terms in 26*t + 19*t + 16*t - 62*t.
-t
Collect the terms in -2*m**2 - 5*m**2 + m**2 + 5*m**2 + 65*m.
-m**2 + 65*m
Collect the terms in 3*d + 9*d + 66*d**2 - 12*d.
66*d**2
Collect the terms in -1 - 7 + 3*j + 6 + 2.
3*j
Collect the terms in 7*f - 20*f + 17*f.
4*f
Collect the terms in 4*d - 4*d - 4*d + 3*d.
-d
Collect the terms in 64 - 32 + 46*m**2 - 32.
46*m**2
Collect the terms in -68*g**2 + 5*g**2 + 10*g**2.
-53*g**2
Collect the terms in 13 - 3*z - 6 - 7.
-3*z
Collect the terms in 944*s**2 - 488*s**2 - 458*s**2.
-2*s**2
Collect the terms in c**2 - 20*c**2 + 4*c**2 + c**3 - 13*c**2 - 7*c**2.
c**3 - 35*c**2
Collect the terms in 3*l**2 + 2 - 3*l**2 - 539*l**3.
-539*l**3 + 2
Collect the terms in 27*t**3 - 5*t**3 + 0*t**2 - t**2.
22*t**3 - t**2
Collect the terms in -125*z + 64*z + 62*z.
z
Collect the terms in -1870 + 1870 - s**3.
-s**3
Collect the terms in 59 - 59 + 12*t.
12*t
Collect the terms in 39 - 3*r - 3 - 36 + 0*r.
-3*r
Collect the terms in -619*s**2 - 2*s + 2*s.
-619*s**2
Collect the terms in -3*d**3 + 8*d**3 - 17*d**3.
-12*d**3
Collect the terms in 63*i - 16*i**3 - 64*i - 8 + 8.
-16*i**3 - i
Collect the terms in 158 - 158 + 4*r**2.
4*r**2
Collect the terms in -2*q**3 + 27*q**3 + 0*q**3 - 23*q**3.
2*q**3
Collect the terms in -95*g - 81*g + 161*g.
-15*g
Collect the terms in -8*w**2 + 674*w - 674*w.
-8*w**2
Collect the terms in -69*g**2 + 18*g**2 + 25*g**2 + 19*g**2.
-7*g**2
Collect the terms in -15*p + p**2 + 34*p + 2*p**2 - 19*p.
3*p**2
Collect the terms in -5*j**2 + 2*j**2 - j**2 - j**2.
-5*j**2
Collect the terms in 218*u**3 - 182*u**3 + 421*u**3.
457*u**3
Collect the terms in -3*x**3 + 11*x**3 + 4*x**3.
12*x**3
Collect the terms in -28*j**3 + 3 + 3*j**2 - 3 + 29*j**3.
j**3 + 3*j**2
Collect the terms in -22*f**3 - 26*f**3 - 71*f**3 - 35*f**3.
-154*f**3
Collect the terms in -3*x - 5*x + 6 + x.
-7*x + 6
Collect the terms in -596*q - 5 + 0 - 267*q.
-863*q - 5
Collect the terms in 0*g**2 - 44*g - 46*g + 3*g**2 + 90*g.
3*g**2
Collect the terms in 21*g**3 - 367*g**2 + 367*g**2.
21*g**3
Collect the terms in 27*t**2 - 31*t**2 + 27*t**2.
23*t**2
Collect the terms in -183*v**2 + 0*v**3 - v**3 + 95*v**2 + 88*v**2.
-v**3
Collect the terms in 4590 - 4590 + 15*w**2.
15*w**2
Collect the terms in -1 - 14*b + 1 - b**3 + 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
941, -4103, -4267, -4433, -4601, -4771?
-f**2 - 157*f - 3623
What is the z'th term of 4475, 7125, 9775, 12425, 15075, 17725?
2650*z + 1825
What is the k'th term of -18344, -32143, -45942?
-13799*k - 4545
What is the n'th term of 9287939, 37151875, 83591769, 148607621, 232199431?
9287979*n**2 - n - 39
What is the y'th term of -482, -506, -544, -602, -686, -802?
-y**3 - y**2 - 14*y - 466
What is the l'th term of -123300289, -123300294, -123300299, -123300304?
-5*l - 123300284
What is the h'th term of 13832849, 13832848, 13832847, 13832846?
-h + 13832850
What is the y'th term of 216, -540, -1874, -4074, -7428?
-48*y**3 - y**2 - 417*y + 682
What is the g'th term of -6802, -7124, -7434, -7732?
6*g**2 - 340*g - 6468
What is the x'th term of 2640757, 2641412, 2642069, 2642728, 2643389?
x**2 + 652*x + 2640104
What is the k'th term of 42893, 86237, 129581, 172925, 216269, 259613?
43344*k - 451
What is the c'th term of 1019, 1987, 2691, 3131, 3307?
-132*c**2 + 1364*c - 213
What is the k'th term of 1944, 3887, 5726, 7407, 8876, 10079, 10962?
-9*k**3 + 2*k**2 + 2000*k - 49
What is the i'th term of 211, -81, -377, -677?
-2*i**2 - 286*i + 499
What is the v'th term of 5991, 12280, 18571, 24864?
v**2 + 6286*v - 296
What is the v'th term of -1604, -1969, -2338, -2711?
-2*v**2 - 359*v - 1243
What is the f'th term of -1880, -3758, -5662, -7610, -9620?
-3*f**3 + 5*f**2 - 1872*f - 10
What is the v'th term of 1212, 9750, 32906, 77988, 152304, 263162, 417870?
1218*v**3 + v**2 + 9*v - 16
What is the i'th term of -29820, -36178, -42536, -48894?
-6358*i - 23462
What is the y'th term of 558679, 557657, 556635, 555613?
-1022*y + 559701
What is the x'th term of 9470, 7850, 5162, 1412, -3394, -9250, -16150?
x**3 - 540*x**2 - 7*x + 10016
What is the b'th term of -86011, -168019, -250027, -332035?
-82008*b - 4003
What is the j'th term of -20185, -38738, -57293, -75850, -94409, -112970?
-j**2 - 18550*j - 1634
What is the j'th term of -416, -2988, -9818, -23036, -44772, -77156, -122318?
-355*j**3 + j**2 - 90*j + 28
What is the z'th term of -8233551, -8233553, -8233555, -8233557?
-2*z - 8233549
What is the o'th term of 908918, 909085, 909256, 909431?
2*o**2 + 161*o + 908755
What is the b'th term of 1465341, 2930677, 4396013?
1465336*b + 5
What is the x'th term of -623, -1097, -1497, -1799, -1979, -2013, -1877, -1547?
4*x**3 + 13*x**2 - 541*x - 99
What is the a'th term of 5990, 9265, 12538, 15809, 19078, 22345?
-a**2 + 3278*a + 2713
What is the a'th term of 6299, 12166, 18021, 23858, 29671, 35454, 41201?
-a**3 + 5874*a + 426
What is the k'th term of -22, 157, 458, 875, 1402?
-k**3 + 67*k**2 - 15*k - 73
What is the a'th term of 122758, 122849, 122940, 123031?
91*a + 122667
What is the n'th term of -871, -2832, -6115, -10714, -16623?
n**3 - 667*n**2 + 33*n - 238
What is the m'th term of -9251480, -18502960, -27754440?
-9251480*m
What is the z'th term of -127311, -254639, -381967, -509295, -636623, -763951?
-127328*z + 17
What is the h'th term of 204781, 407599, 610417, 813235, 1016053, 1218871?
202818*h + 1963
What is the w'th term of -120276, -240379, -360482, -480585, -600688?
-120103*w - 173
What is the c'th term of -8715, -17268, -25821, -34374, -42927, -51480?
-8553*c - 162
What is the c'th term of -1002403, -4009630, -9021675, -16038538?
-1002409*c**2 + 6
What is the v'th term of 98123, 98145, 98167, 98189?
22*v + 98101
What is the z'th term of -12245, -24385, -36473, -48503, -60469, -72365, -84185, -95923?
z**3 + 20*z**2 - 12207*z - 59
What is the g'th term of 3882, 2737, 1700, 825, 166, -223?
9*g**3 - 1208*g + 5081
What is the a'th term of -789938, -789908, -789878?
30*a - 789968
What is the o'th term of -2499, -3078, -3683, -4320, -4995?
-o**3 - 7*o**2 - 551*o - 1940
What is the q'th term of 4856320, 9712687, 14569054, 19425421, 24281788?
4856367*q - 47
What is the t'th term of 853, 970, 1315, 2008, 3169, 4918, 7375?
20*t**3 - 6*t**2 - 5*t + 844
What is the w'th term of -486937523, -973875045, -1460812567, -1947750089, -2434687611, -2921625133?
-486937522*w - 1
What is the a'th term of -6083, -5900, -5585, -5138, -4559, -3848?
66*a**2 - 15*a - 6134
What is the r'th term of -7093703, -14187396, -21281083, -28374764, -35468439?
3*r**2 - 7093702*r - 4
What is the u'th term of -2764, -856, 1052, 2960?
1908*u - 4672
What is the u'th term of 79297, 79298, 79299, 79300?
u + 79296
What is the t'th term of -275192432, -275192434, -275192436, -275192438, -275192440, -275192442?
-2*t - 275192430
What is the n'th term of 2159, 3622, 5087, 6554, 8023?
n**2 + 1460*n + 698
What is the y'th term of 3239, 6177, 8959, 11591, 14079, 16429, 18647?
y**3 - 84*y**2 + 3183*y + 139
What is the g'th term of 81916, 82015, 82114?
99*g + 81817
What is the t'th term of -2179226, -4358444, -6537662?
-2179218*t - 8
What is the p'th term of -2306, -3613, -3920, -3227, -1534, 1159?
500*p**2 - 2807*p + 1
What is the y'th term of -9200578, -9200575, -9200572, -9200569?
3*y - 9200581
What is the d'th term of -9354, -8470, -7600, -6744, -5902, -5074?
-7*d**2 + 905*d - 10252
What is the i'th term of 155701, 155615, 155515, 155395, 155249, 155071, 154855, 154595?
-i**3 - i**2 - 76*i + 155779
What is the p'th term of -14379, -24968, -35557, -46146, -56735, -67324?
-10589*p - 3790
What is the a'th term of -24340, -26259, -28178?
-1919*a - 22421
What is the h'th term of 5372, 8949, 12526, 16103?
3577*h + 1795
What is the o'th term of 13826912, 27653793, 41480674, 55307555, 69134436, 82961317?
13826881*o + 31
What is the q'th term of 170111, 170277, 170545, 170909, 171363, 171901, 172517?
-q**3 + 57*q**2 + 2*q + 170053
What is the o'th term of 169673, 169448, 169221, 168992, 168761, 168528, 168293?
-o**2 - 222*o + 169896
What is the j'th term of 1367457, 1367465, 1367473, 1367481, 1367489, 1367497?
8*j + 1367449
What is the t'th term of 118736, 118623, 118510, 118397, 118284, 118171?
-113*t + 118849
What is the c'th term of -16719, -19614, -22509, -25404?
-2895*c - 13824
What is the u'th term of -26994220, -26994221, -26994222?
-u - 26994219
What is the z'th term of -7388, -30002, -67820, -120836, -189044, -272438, -371012?
z**3 - 7608*z**2 + 203*z + 16
What is the p'th term of -333, -1834, -4493, -8310?
-579*p**2 + 236*p + 10
What is the w'th term of 178, 3355, 13688, 35299, 72310?
687*w**3 - 544*w**2 + 35
What is the a'th term of -863103502, -863103501, -863103500?
a - 863103503
What is the v'th term of 2561921, 5123806, 7685695, 10247588?
2*v**2 + 2561879*v + 40
What is the a'th term of -9456957, -9456951, -9456941, -9456927, -9456909, -9456887?
2*a**2 - 9456959
What is the m'th term of -39359, -39278, -39193, -39104, -39011?
2*m**2 + 75*m - 39436
What is the o'th term of 4038566, 8077169, 12115772, 16154375?
4038603*o - 37
What is the i'th term of 4123523, 4123509, 4123461, 4123361, 4123191, 4122933, 4122569?
-3*i**3 + i**2 + 4*i + 4123521
What is the t'th term of -147992, -148032, -148104, -148208, -148344, -148512?
-16*t**2 + 8*t - 147984
What is the b'th term of 100845226, 100845220, 100845212, 100845202, 100845190, 100845176?
-b**2 - 3*b + 100845230
What is the z'th term of 25203, 201260, 679119, 1609680, 3143843?
25150*z**3 + z**2 + 4*z + 48
What is the x'th term of -17452, -17671, -17890, -18109?
-219*x - 17233
What is the y'th term of -4960860, -4960877, -4960894, -4960911?
-17*y - 4960843
What is the h'th term of -1774, -947, -120, 707?
827*h - 2601
What is the r'th term of -505179, -1010318, -1515457, -2020596, -2525735, -3030874?
-505139*r - 40
What is the x'th term of 5538, 21626, 48460, 86046, 134390, 193498, 263376?
x**3 + 5367*x**2 - 20*x + 190
What is the x'th term of -196346, -196315, -196274, -196229, -196186?
-x**3 + 11*x**2 + 5*x - 196361
What is the c'th term of 71402724, 142805447, 214208170, 285610893, 357013616, 428416339?
71402723*c + 1
What is the v'th term of -232852, -232516, -231948, -231142, -230092, -228792?
v**3 + 110*v**2 - v - 232962
What is the q'th term of 5862, 1988, -1886, -5760, -9634, -13508?
-3874*q + 9736
What is the i'th term of -641, -1275, -1841, -2303, -2625, -2771, -2705, -2391?
6*i**3 - 2*i**2 - 670*i + 25
What is the g'th term of -198, -62, 328, 1098, 2374, 4282, 6948?
21*g**3 + g**2 - 14*g - 206
What is the j'th term of -389364, -1556767, -3502446, -6226407,
|
{
"pile_set_name": "DM Mathematics"
}
|
lve 4*x + 3 = m, -3*m + 3249*x - 3244*x = -2 for m.
-1
Solve -3*c + 507 = -5*l + 518, -8 = -2*l for c.
3
Solve r - 3*q - 18 = 0, 0 = 2*r - 5*q - 168 + 137 for r.
3
Solve 531 = 5*h - 2*c + 557, -4*c = 5*h - 52 for h.
0
Solve -4*i + 5*y - 10 = 0, i + 3*i + 166 = 31*y for i.
5
Solve -3*i = -12, 16419*i - 16418*i - 29 = -5*x for x.
5
Solve 4*r - 175*l - 2 = -177*l, -5*r + 5 = 2*l for r.
3
Solve 2*b + 5*z = -34, 2*z - 11 + 42 = 5*b for b.
3
Solve 5*g + 21 = -2*z, 12*z - 4*g = 8*z for z.
-3
Solve 8553*u - 8546*u = -21, -3*g + 3*u - 27 = 0 for g.
-12
Solve -4*u - 2*a = -38, -49 + 54 = 4*u - a for u.
4
Solve 15*z + 4*d + 184 + 209 = 0, -84 = 3*z - d for z.
-27
Solve 5*m = 20, -4*f - 578*m = -579*m + 24 for f.
-5
Solve 0 = b + 5*v + 14, 160 - 152 = b - 6*v for b.
-4
Solve 0 = 3*o + t + 19, -78*o + t = -76*o + 6 for o.
-5
Solve 2*y = -2*i, 2*y - y = -5*i - 16 for y.
4
Solve h = -5*f + 113, -3*f = 871*h - 872*h - 63 for h.
3
Solve -3*i = -5*c - 3, -136512 = 7*i + c - 136481 for i.
-4
Solve 0*t - 3 = -3*p + 6*t, -10*t + 7*t = 18*p - 213 for p.
11
Solve -11*s + 41*z - 38*z - 113 = 0, 7 = 7*z for s.
-10
Solve -227*t - 3*x = -232*t + 40, 2*t + x = 5 for t.
5
Solve -7*j + 15 = 83*z - 79*z, 0 = -5*j + 3*z - 1 for j.
1
Solve 0 = -3*v + 14*g - 15*g - 28, 5*v + 40 = 5*g for v.
-9
Solve 60*u - 11 + 32 = 59*u + 4*z, -4*z + 24 = 0 for u.
3
Solve -3*h = 2*f - 13, 5*h - 2*f + 8*f - 35 = 0 for h.
1
Solve -3*a = -7*t + 24, -21*a - 12 = -18*a - 3*t for a.
-1
Solve -196 = -2*c + 5*u - 183, 3*c - 4*u = 16 for c.
4
Solve -i - 9 = 4*u - 14, -u + 24 = -3*i for u.
3
Solve -622*p - 11 = -618*p + c, 0 = 5*p + c + 16 for p.
-5
Solve -5*a - 7 = n, -4*a + 11729 = 2*n + 11737 for n.
-2
Solve 5*i + 25 = -2*m, 75 - 41 = -5*m - 3*i for m.
-5
Solve -13*p - 3*c + 30 = -8*p, -5*p + 3*c + 30 = 0 for p.
6
Solve -z + 13 = -x, 5*x = -z + 303 - 302 for z.
11
Solve 5*p + 3*r = -69, -4*r = -2*p - 1094 + 1186 for p.
0
Solve 2*f = -3*b + 13, 0 = 5*b - 13 - 12 for f.
-1
Solve 30 = -11*v - 10*v + 16*v, -2*g = v + 12 for g.
-3
Solve 4*q + 215*p = 213*p - 16, 5*q + p = -17 for q.
-3
Solve 0 = -f - 3*u + 8, -3*u = 2*f + 175 - 185 for f.
2
Solve 0 = -3*y - 2*l, y = 3*y - 2*y - 5*l - 15 for y.
2
Solve 358*h - 3*g + 10 = 353*h, 0 = -5*h - g - 30 for h.
-5
Solve -3*t - 16 = 3*x + 14, t - 5 = 2*x for x.
-5
Solve -3*n - 8 = -4*v, -514*n + 16 = -517*n - 4*v for n.
-4
Solve -3*g + 56 = 3*y + 7*g, 0 = -5*y - 3*g + 25 for y.
2
Solve 0 = 4*m - 4*h - 8, -127*h = -m - 130*h + 14 for m.
5
Solve -3*y + 23 - 46 = n, -3*n - 3 = -2*y for n.
-5
Solve -g - 7 = -j, -10*j - 5*g = -132 + 107 for j.
4
Solve 140*y - 125 = -26*j + 145*y, -2*y = 4*j - 22 for j.
5
Solve -5*f = -6*l - 8 + 9, -3*l - 3*f = -6 for l.
1
Solve 374*j + 4*o + 20 = 379*j, -2*j + 13*o = -8 for j.
4
Solve 86*o - p = 87*o - 18, p - 13 = 4*o for o.
1
Solve -y = -3*g, -886*y + 883*y - 5*g = 0 for y.
0
Solve 4*t = 5*h + 44 - 49, 2*t + 1 = h for h.
1
Solve 0 = 5*y - 5, -1025*y - 21 = -3*k - 1028*y for k.
6
Solve 490*s - 5*j = 487*s - 31, -4*s + s + 9*j - 51 = 0 for s.
-2
Solve -2*d + 5*c + 21 = 14, 0 = 2*d + 5*c + 23 for d.
-4
Solve 5*n - 37 = -s, -154*s + 5*n - 31 = -152*s for s.
2
Solve 5*y = -37*u + 105, 4*y - 2*u - 54 = 8*y for y.
-16
Solve 48*w - 53*w - l = 40, -2*l - 50 = 4*w for w.
-5
Solve 138 = k - 4*d + 177, 0 = -k - 3*d + 31 for k.
1
Solve 21*i = -z + 30*i - 12, 2*z = 3*i + 21 for z.
15
Solve 5*w + 3*u - 14 = 0, -25599 = 3*w + 5*u - 25617 for w.
1
Solve 2*o + 11 = -5*a, 666*o - 664*o + 8 = -2*a for o.
-3
Solve 0*z - 5*z + n = 25, -3*n = 5*z + 5 for z.
-4
Solve -4 = 4*r, 31*h = 13*h + 17*h + 11*r + 3 for h.
-8
Solve 0 = -o + 3*c + 10, 3*o + 4*c + 59 = 37 for o.
-2
Solve -837*p + 27 = -s - 842*p, 4*s = 4*p + 12 for s.
-2
Solve -3*j = 4*r - 4, 57*r - 4*j = 61*r for r.
4
Solve 0 = 4*z - 21*i - 26, -4*z - 69*i - 20 = -67*i for z.
-4
Solve -5*c = 5*y - 33 + 38, 5*c - 3*y - 19 = 0 for c.
2
Solve 4 = 4*o, 22*o = -2*v + 10*o + 14 for v.
1
Solve -5 = 2*w + 3*z, -3*z + 15 = 4*w + 10 for w.
5
Solve -27*j - 4*d - 4 = -29*j, -5*j + 13 = -7*d for j.
4
Solve -5*b + 13 = -4*w, 0 = w - 77*b + 79*b for w.
-2
Solve -4 = 3*d - 4*i, 0 = -53*i + 51*i - 10 for d.
-8
Solve 5*c - 45 = -5*o, o - c = 10282 - 10281 for o.
5
Solve 11*h - 15*h + 32 = -4*c, c = -2*h + 22 for h.
10
Solve 64 - 52 = 2*f + 3*z, 5*z = f + 7 for f.
3
Solve -4*t + 2*i = -2, -195*t + 193*t - 20 = 6*i for t.
-1
Solve -2*j = s - 40 + 56, 0 = 2*s + 3*j + 24 for s.
0
Solve -4218*w + 4213*w + 28 = 3*m, -19 = -4*m - 3*w for m.
1
Solve -2*b - 4*w = -14, -2 = -190*b + 194*b + 2*w for b.
-3
Solve v - 24*f + 21*f + 17 = 0, -23 = -v - 5*f for v.
-2
Solve 0 = -2*o + 5*t + 15, -549*o + 9 = -551*o - 3*t for o.
0
Solve 2857*o = 2871*o + 4*w - 4, 5*w - 34 = -3*o for o.
-2
Solve -4*s - 5*d = 25, -24 = -1688*s + 1693*s - d for s.
-5
Solve 3*x = 3*z - 39, 82*x + 424 = 88*z + 84*x for z.
5
Solve i - 3*t - 197 = -191, 0 = 5*i - t + 12 for i.
-3
Solve 0 = 5*v + 3*x + 5, -6*v - 3*v + 5 = 6*x + 17 for v.
2
Solve -4*w = 2*y + 1 - 23, 0 = 15*y + 7*w - 96 for y.
5
Solve 2*d = b + 2*b + 17, -29 = 13*d + 4*b - 116 for d.
7
Solve 4 = -2*w - 4*i, 724*i - 18 = -3*w + 726*i for w.
4
Solve -j + 5*u - 55 = 0, 3*j - 35628*u + 35630*u = 39 for j.
5
Solve 2*k - 7 = h, 344*k + 3*h + 36 = 355*k for k.
3
Solve -2*q + 5*k = 31, -2*k = -2377*q + 2373*q - 22 for q.
-3
Solve 112*h - 109*h = 3*w - 42, -h + 5*w - 34 = 0 for h.
-9
Solve 68*f - 75*f - 2*t = 64, -5*f = -t + 53 for f.
-10
Solve -437*b + 442*b = -16 + 1, 0 = c + 5*b + 19 for c.
-4
Solve -61*g + 27 = -66*g - 2*s, 0 = -10*g + 3*s - 47 for g.
-5
Solve 272*f = y + 303*f - 683, 4*y - 70 = -3*f for y.
1
Solve 0 = -2*i - 2*w - 22, -1152*w - 51 = 5*i - 1151*w for i.
-10
Solve -4*p + 5*h - 25165 + 25140 = 0, 8*h = 2*p + 40 for p.
0
Solve 0 = -3*r - 4*v + 19, -9*r - 4*v = -7*r - 14 for r.
5
Solve 5*q + 25 = -r, 2343*r - 4*q - 42 = 2346*r for r.
-10
Solve -m + k = 4*m + 16 + 28 + 71, -4*k = 0 for m.
-23
Solve y - 4 = c, -2*c + 35058 - 35050 = 2*y for y.
4
Solve 147*t - 1 = 148*t - 5*h, -4*t = -8*h - 8 for t.
4
Solve 11*c - 52 = 84*b - 83*b, -5*c + b + 22 = 0 for c.
5
Solve -h = -2*s + 4, 4296*s + 16 = 4301*s - 4*h for s.
0
Solve 26*l + j = 22*l + 31, 0 = 5*l - 3*j - 26 for l.
7
Solve -w - 24 = v - 22, -5*v - 4*w = 12 for v.
-4
Solve 10*p + 5*i = 5, 5*p - 19 = 29*i - 26*i for p.
2
Solve -633*o + 635*o + 8 = 5*l, -5*l = -o + 1 for l.
-2
Solve -14693*c = -14689*c + 3*s + 4, 5*s = 2*c + 28 for c.
-4
Solve -9*n + 3*f + 30 = 0, -2*f + 15 = 184*n - 183*n for n.
5
Solve -2*n = -r, 0 = 339*r - 323*r - 4*n for r.
0
Solve 0 = -5*t + b + 6, -2*t - 21*b - 3 = -16*b for t.
1
Solve -2*i - 3*k + 9 = 0, -5*i - 294*k + 20 = -289*k for i.
3
Solve 4*x - 4463*c + 4461*c = 12, 0 = -2*x + 4*c for x.
4
Solve 3*v - 34 = 4*g, -4*g - 493 + 477 = -2*v for v.
18
Solve 3*h - 8 = -4*z, -204*h = 5*z - 225*h - 10 for z.
2
Solve u - 4*b + 9 = 0, 0 - 1 = -b for u.
-5
Solve 2*n + 54 = 5*v + 26, -n - 14 = -4*v for v.
0
Solve -152*q + 156*q = -l + 19, 4*l - 4 = -4*q for l.
-5
Solve -25 = 86*w - 91*w + p, 5 = w - 7*p + 10*p for w.
5
Solve 0 = -a + 3*r - 32, 5*r + 74 = -3*a + 104 for a.
-5
Solve -3*z - 1610*g = -1607*g - 3, z + 2*g + 1 = 0 for z.
3
Solve 0 = -u + 3*p - 1, 86*p - 84*p = -u - 6 for u.
-4
Solve -3*b - w = 1367 - 1357, 2*w = 4*b + 10 for b.
-3
Solve 0 = -5*t - 9 - 1, -5*t - 46 = 4*b for b.
-9
Solve 54*j - 58*j + 4*r - 28 = 0, -3*j - 19 = -r for j.
-6
Solve -9*q - 887*h = -888*h + 31, 0 = q + 2*h + 14 for q.
-4
Solve 0 = c + 5*y + 3, -3*c - 65*y + 66*y + 7 = 0 for c.
2
Solve -18*q + t = -19*q + 9, 3*t = -6*q + 45 for q.
6
Solve i - 45 = -7*u - 7, 3*i - 4*u = -11 for i.
3
Solve -35192*f + 35193*f = t - 2, 3*f - 5*t + 18 = 0 for f.
4
Solve 5*z - 8 = 56*t - 57*t, -3*z = -2*t - 10 for t.
-2
Solve -4*n - 2*t = 0, -n - 3 = -2*t + 2 for n.
-1
Solve 0 = p + 2*c - 1, 12*p - 7*p = -5*c for p.
-1
Solve -3*z + 2*l + 23 = 16, z + 3*l - 17 = 0 for z.
5
Solve 5*q = 9*q + 3*j - 14, -3*q - 21 = -3*j for q.
-1
Solve 12*v - 116 = 2*f, -48 = -1089*f + 1092*f - 4*v for f.
-4
Solve 5*o = -20*b, -5*o - 5*b + 3*b = -4*o + 2 for o.
-4
Solve 41*p = 3*n + 37*p + 76, -3*n - 92 = -5*p for n.
-4
Solve -4*g - 5*n - 16 = 0, 0 = 364*g - 359*g - 4*n - 21 for g.
1
Solve -s - 22 = 4*o, -7*s + 43 = -o - 26*s for o.
-5
Solve 2*g - 6 = 4*c, 28*g - 4*c = 33*g + 27
|
{
"pile_set_name": "DM Mathematics"
}
|
r m.
3
Let n be ((-6)/(-5))/(14/(-35)). Let d be -10*n*3/18. Solve -d*h = 9 + 6 for h.
-3
Let n(s) = s**2 - 9*s + 3. Let r be n(9). Let w(g) = 2*g**3 + 2. Let m be w(r). Suppose m = 3*z - 4. Solve z = -3*f + 8 for f.
-4
Suppose 0*a + 5*a = 0. Let q(p) = 6*p - 1. Let b be q(1). Suppose -263 = -4*g - 255. Solve a = b*t - g*t - 6 for t.
2
Let r(t) = -4*t**2 + 4*t + 2. Let m be r(-2). Let i = m - -22. Let c be (30/3)/(2*1). Solve i = -c*b - 0*b - 25 for b.
-5
Let y = -364 + 366. Solve -4*g = -y*g - 6 for g.
3
Let i(y) = -4*y**2 + 14*y - 2. Let m be i(3). Solve -h + m = -0 for h.
4
Let h(d) = -2*d**2 - 13*d - 2. Let g be h(-5). Let w(q) = 2*q - 26. Let l be w(g). Solve l*j - 2*j = -4 for j.
2
Suppose 33*q - 289 = -25. Solve -u = -12 + q for u.
4
Suppose -3*h = 8 - 5. Let b be (-6*(h - 0))/2. Suppose -5*u = -3*r - 25, -5*r = -b*u - 2*r + 15. Solve 0 = -u*k + 3 + 7 for k.
2
Suppose n = 5*y - 15, -4*n = -2*y - 2 + 26. Solve h = y*h - 2 for h.
2
Suppose -3*a - 47 + 6 = -h, 97 = 3*h + 4*a. Solve -h*s + 12 = -38*s for s.
-4
Let p(n) = n**3 - 8*n**2 + 7*n - 2. Let j be p(7). Let h = j - -7. Suppose -h*l + 47 = 12. Solve 0 = 4*d - l*d + 6 for d.
2
Suppose 8 = 7*b - 6. Let t(y) = -y**3 - 4*y**2 + 4*y - 7. Let r be t(-5). Let p be r + (0 - -3) - -2. Solve -g = -b + p for g.
-1
Suppose 4*i + 68 = -4*b, 23 = -2*i - 5*b + 1. Let r = i + 23. Let a = 14 + -9. Solve f = r*f - a for f.
5
Let q = 4 + -69. Let n = q - -71. Let k be (-2)/3*(-36)/8. Solve -k*g = -n*g - 3 for g.
-1
Let k = 46 + -39. Solve 0 = -3*p + k + 5 for p.
4
Let l be 126/35 + 12/(-20). Solve -15 + l = -4*b for b.
3
Let m(j) = j**3 + 5*j**2 + j - 1. Let x be m(-5). Let h = x + 10. Suppose h*l = -k + 20 + 2, 0 = -2*l + 6. Solve 0 = 3*s + 2*s - k for s.
2
Suppose -17*x = -9*x - 256. Let b = x + -28. Solve b*r + 6 = 6*r for r.
3
Let v(o) = -o**3 + 23*o**2 + 23*o + 24. Let n be v(24). Let w(i) = -1 + 5 - 3*i - i**3 - 4*i**2 - 1. Let a be w(-3). Solve n = -6*b + a*b + 6 for b.
2
Let a(j) = 2*j**2 - 16*j + 14. Let u be a(7). Solve -r + 1 - 4 = u for r.
-3
Let u = -26 + 46. Suppose u = 4*z - 16. Let g(t) = -14*t - 513. Let c be g(-37). Solve z = -c*d - 6 for d.
-3
Let j(l) = l**2 + 5*l. Let g be j(-4). Let t be g/2 - -18*5. Let q be (6/(-4))/((-33)/t). Solve -q*b = -0*b for b.
0
Let i be (-2)/4 + (-88)/(-16). Suppose -u + 6 = k, -u + 2 = -i*k + 26. Suppose -x - 4*z = -18, -z = k*x - 0*z - 14. Solve 0 = -4*a + x*a - 4 for a.
-2
Let h(p) = p**3 - 4*p - 2*p**3 + 32 - 38. Let r be h(-2). Solve 3*u = -2 - r for u.
-4
Let m(d) = -18*d - 24. Let c be m(-2). Solve -84*y + 80*y = -c for y.
3
Suppose -x = -3*x + 12. Suppose -n + x*n = -4*z + 40, -4*z = -2*n + 44. Suppose -5*c = -8*c + n. Solve c*q = -0*q - 8 for q.
-2
Let s = -90 - -102. Suppose l = s*l - 44. Solve -d = -2*d + l for d.
4
Suppose -3*y + 36 = 3*v, 15 + 3 = 4*y - 2*v. Solve 12*i + y = 19 for i.
1
Suppose -2*m = -3*m. Let w be 2/8 + (-28)/(-16). Suppose m = y + w*y - 12. Solve -y = v - 0*v for v.
-4
Let z = -593 - -593. Solve z = -5*c - 2*c - 14 for c.
-2
Suppose 4*m + 8 - 4 = 2*u, u + 13 = 5*m. Solve -l + 7*l = u for l.
2
Let j = -175 + 205. Solve j = -2*a - 4*a for a.
-5
Suppose 0 = -23*r + 16*r + 35. Solve -3 = -2*b - r for b.
-1
Suppose 10*a - 53 = 5*a + 4*o, 0 = 5*a + o - 43. Let b = a + -6. Solve j - 4 + b = 0 for j.
1
Suppose 7*v = 2*v + 60. Let k(a) = a**3 - 11*a**2 - 13*a + 13. Let m be k(v). Solve -m = -c - 3 for c.
-2
Let t = -24 - -34. Let s = 28 - 28. Suppose 4*g - 2*k + 6 = 0, s*k - k + 3 = 4*g. Solve g*c - 2*c = t for c.
-5
Let p be (-21)/2*(1 + -3). Suppose 2*g = 2*o - 8 + 2, -4*o + p = 5*g. Let b be (0/((-56)/(-7)))/1. Solve b*h = o*h + 8 for h.
-2
Let c = -1 - -3. Suppose -88*b = -86*b - 4. Let k = c - b. Solve k = -4*a + 17 - 1 for a.
4
Suppose -4*k = 7*l - 5*l - 22, -4*l = -5*k + 21. Solve -k*u = -28 + 8 for u.
4
Suppose 8*c = 13*c - 10. Suppose 16 = -4*p, c*h = 6*p - p + 26. Solve h*k + k = -16 for k.
-4
Let m be (60/(-18))/(1/(-3)). Let z(x) = -x**3 + 10*x**2 + x + 4. Let l be z(m). Let j = l - 6. Solve p - j = -4 for p.
4
Suppose -4*g + 3 = 3*l, -3*l + 5*g = 10 - 13. Solve -7 + l = 2*y for y.
-3
Suppose -6*i = -53 + 17. Suppose -5*f = i*v - v + 10, 0 = 3*f - v - 10. Solve 10 = -2*s + f for s.
-4
Let q(g) = 3*g**2 - 11*g + 12. Suppose h + t = -3*t + 22, 3*h - 4*t + 14 = 0. Let k be q(h). Solve -w + 2*w - k = 0 for w.
2
Suppose -2*x - 64 = -3*q - 87, -3*x + 27 = -3*q. Solve -15 = r + x*r for r.
-3
Suppose -2 = s - 8. Solve -2*p - 4 = s for p.
-5
Let b = 19 - 17. Suppose -b*v + 12 = -6*v. Let h = v - -7. Solve 4*d = 4 + h for d.
2
Let z = 110 - 102. Solve -2*w = -4 + z for w.
-2
Let g = -261 - -263. Solve -g = -4*t + 6 for t.
2
Let c be -2*(2/(-1) - (-35)/(-10)). Solve c*v - 5 = 6*v for v.
1
Let n be -1*(5 - 4)*-13. Suppose 0 = -3*s + 20 + n. Solve s = -2*x + 5 for x.
-3
Let y be (-62)/(-3) - (-6)/(-9). Suppose 8*x = 3*x + y. Solve -m - 5 = -x for m.
-1
Let v be (-6)/3 + 40/(-2). Let d be (-57)/(-11) + 4/v. Solve -g = -2*g - d for g.
-5
Suppose o + 12 = 2*k, -1 = 3*k + 2*o - 5. Suppose -5*y + k + 16 = 0. Solve -5*a + y*a = 3 for a.
-3
Let y be (-2)/((9/48)/((-6)/4)). Suppose -18*b = -y*b - 10. Suppose 0 = 2*m - 3*m + w - 2, 10 = m + 2*w. Solve -b*h = -m*h for h.
0
Suppose -c - 4*y + 8 = 0, -4*y + 5 = y. Solve -c*n + 20 = -9*n for n.
-4
Let p(b) = b**3 + 18*b**2 - 15*b - 14. Let d(m) = m**3 + 17*m**2 - 15*m - 13. Let c(l) = 5*d(l) - 4*p(l). Let w be c(-14). Solve 4*g + w = -g for g.
-1
Let z(n) = -2*n - 1. Let r be z(-4). Let m = -2 + r. Suppose 3*a + 8 = m*a. Solve -i - a*i = -25 for i.
5
Let w(o) be the first derivative of -13*o + 1/2*o**2 + 1/4*o**4 - 1 - 13/3*o**3. Let g be w(13). Solve g*b = b for b.
0
Suppose -t - 6 = 4*u - 2, 2*u + 16 = -4*t. Let r = -35 - -38. Let g be 1 + 2*(-5)/(-2). Solve -r*o + g*o = u for o.
0
Suppose 34*p - 144 = 28*p. Let f be 1/((0 + 20/p)/5). Solve f = -5*g - 4 for g.
-2
Let m(w) = w**2 - 52*w - 153. Let f be m(55). Solve 16*j - f = 13*j for j.
4
Suppose -80 = -82*k + 78*k. Solve 5*u - k = 10*u for u.
-4
Let n(p) = 6*p - 4. Let c be n(4). Suppose 5*x + 3*d - c = 0, 2*x = 6*x + 5*d - 29. Let h(k) = k. Let t be h(x). Solve t = 2*s - 7 for s.
4
Let f(r) = r**3 + 7*r**2 + 5*r - 6. Let p be (-2015)/(-75) - (-2)/15. Let w be 2/(-6) - 153/p. Let x be f(w). Solve 5*d = -x*d - 20 for d.
-4
Suppose -3*x + 323 = 5*b, -2*b = -3*b + 3*x + 79. Let s = b - 62. Solve 8 = j - s*j for j.
-2
Suppose 2*g - 19 = -3*b, -2*g - 22 = -4*b - 4*g. Solve b*a + 5 = -10 for a.
-5
Let z(g) be the third derivative of -g**5/60 + g**4/12 + g**3/2 + 10*g**2. Let j be z(0). Solve 2*i + 5 = j for i.
-1
Suppose 39*h - 3*h - 72 = 0. Solve -5*a = 13 + h for a.
-3
Suppose -6*m + a + 33 = -3*m, 4*m - 2*a = 44. Solve m*q = 4*q + 14 for q.
2
Let m be -1*3 + -21*9/(-27). Solve -m*b - 22 = -2 for b.
-5
Let r(q) = q**3 - q**2 + 4. Let t be r(0). Let x be t - (-20)/4 - 4. Solve 4 = -x*z + z for z.
-1
Suppose -3*g = 5*f - 15, 6*f = 5*g + 3*f - 25. Suppose 0 = d - 5*d + 12, -5*v - g*d + 25 = 0. Solve -v*h + 0*h = 10 for h.
-5
Let v(x) = 2*x**2 + 11*x - 1. Suppose 4*i = 16 - 40. Let n be v(i). Solve n = -4*t - t for t.
-1
Let g be (-92)/(-28) + -3 + (-276)/(-14). Suppose -3*j - 4*r = -g, -j + 0*r - 2*r = -6. Solve -8*o = -4*o - j for o.
2
Suppose -4*i - u = -2 - 13, -u = 5. Let j(q) = 5*q**2 + 3*q + 1 + q**2 - i*q**2. Let o be j(-3). Solve 0 = 5*w - o - 4 for w.
1
Suppose 5*d + 72 = 9*d. Let l = -38 + d. Let j be 0*(l/16 - -1). Solve j = 2*m - 0*m for m.
0
Let h(r) = r**2 + 13*r + 15. Suppose -14 - 46 = 5*a. Let t be h(a). Solve t*b = -b for b.
0
Let w be (-108 - -108)/((-3)/1). Solve 8*n - 24 - 8 = w for n.
4
Let m = -1 + 3. Suppose 0 = m*a - 4*a + 42. Let j be (-1)/((3 + -6)/a). Solve j*g - 2*g + 10 = 0 for g.
-2
Let g(b) = -b**2 + 14*b - 4. Let y be g(14). Let v(l) = -l - 1. Let u be v(y). Solve 7 - u = 2*t for t.
2
Let l(u) = 5*u**2 + 16*u + 5. Let t be l(-3). Solve t*f = -0*f for f.
0
Let k(q) = -q**3 - 5*q**2 + 16*q + 14. Let f be k(-7). Let o = f + 20. Solve -o = 5*z - z for z.
-5
Let q be 4 + -2 + (5 - 0). Suppose q*s = 15*s. Solve -5*v - 16 + 6 = s for v.
-2
Suppose 42 = 6*d - 0*d. Let a be 1 - -3 - (11 - d). Suppose 0 = -a*p + p. Solve 0 = -p*n - n for n.
0
Suppose 91*o - 86*o = 10. Solve -g + o*g + 2 = 0 for g.
-2
Let b(c) = -c - 13.
|
{
"pile_set_name": "DM Mathematics"
}
|
what is 5 + -377351?
-377345
In base 13, what is -2a482 - 5?
-2a487
In base 10, what is -22380 + -201?
-22581
In base 12, what is 1832 - -25b?
1a91
In base 11, what is 13 + -2375?
-2362
In base 9, what is -5 + 15808?
15803
In base 11, what is 5512 - -1a1?
5703
In base 7, what is 2 - -1345335?
1345340
In base 5, what is -10 - -2102013?
2102003
In base 12, what is 6a517 - -17?
6a532
In base 8, what is -2453 + 31?
-2422
In base 6, what is 1335 - 113?
1222
In base 8, what is 11 + 141216?
141227
In base 13, what is 1258 + -a2?
1186
In base 7, what is -130356 + -1?
-130360
In base 5, what is -1041 + -234223?
-240314
In base 12, what is 7 + -2661?
-2656
In base 7, what is 403 + 2232?
2635
In base 5, what is -13032 + -33?
-13120
In base 10, what is -1713 - -15?
-1698
In base 15, what is -858 - 31?
-889
In base 7, what is -1 - -2265?
2264
In base 2, what is 111010110 - 1100011?
101110011
In base 11, what is -348 - 32aa?
-3647
In base 6, what is -12 - 10021?
-10033
In base 12, what is 10634 - 4?
10630
In base 5, what is 2 - -13302123?
13302130
In base 10, what is -1 + 40399?
40398
In base 3, what is -2221012 - 101?
-2221120
In base 10, what is 858683 - -2?
858685
In base 4, what is -12211 - -1020300?
1002023
In base 16, what is -2c + 64a1?
6475
In base 4, what is -11 + -100230310?
-100230321
In base 10, what is 2009 - 334?
1675
In base 13, what is 2 + 6a3a3?
6a3a5
In base 2, what is 111100110100 + 1000101?
111101111001
In base 14, what is -bc + -37d?
-45b
In base 11, what is -1aa686 - 5?
-1aa690
In base 5, what is 120403403 + -2?
120403401
In base 13, what is -16022 + 17?
-16008
In base 12, what is -37629 + -11?
-3763a
In base 13, what is -21 + -44742?
-44763
In base 4, what is -311111 + -10?
-311121
In base 3, what is -12111112 - 10101?
-12121220
In base 8, what is 7001 + 22?
7023
In base 5, what is -4431 - -441?
-3440
In base 5, what is 1034 + -1223?
-134
In base 3, what is 1000 - 200200021?
-200122021
In base 16, what is -113f0 + 4?
-113ec
In base 11, what is -6a4857 - 4?
-6a4860
In base 7, what is 3 - 6240646?
-6240643
In base 15, what is 85619 - 2?
85617
In base 14, what is -508a + 32?
-5058
In base 4, what is -12231211103 - -2?
-12231211101
In base 7, what is -2606515 - 0?
-2606515
In base 8, what is 273 - 411?
-116
In base 6, what is -4342 + 2251?
-2051
In base 6, what is 5 - 350031?
-350022
In base 10, what is 47682 + -3?
47679
In base 2, what is -111000001110 - -101?
-111000001001
In base 9, what is 22084 + 5?
22100
In base 16, what is -198 + e6?
-b2
In base 15, what is 1be - 1b?
1a3
In base 16, what is -990 - -19?
-977
In base 5, what is -1 + -40243410?
-40243411
In base 9, what is 440271 - 4?
440266
In base 8, what is 72 + -156?
-64
In base 15, what is 44b - -7?
453
In base 9, what is -4478 + -73?
-4562
In base 11, what is 1a0 + 3930?
4020
In base 3, what is 2122020121 - -12010?
2122102201
In base 14, what is 4 + -5d2?
-5cc
In base 15, what is 436 - -11?
447
In base 8, what is 5634 + -1743?
3671
In base 6, what is -3 + -5525153?
-5525200
In base 12, what is -39 - 4994?
-4a11
In base 2, what is 100 - 11000110011111001?
-11000110011110101
In base 2, what is 11 + -100010101010100?
-100010101010001
In base 2, what is 1000000010101011 + 100?
1000000010101111
In base 13, what is -1bc5 + 1c6?
-19cc
In base 11, what is 45 - 1251?
-1207
In base 12, what is -2722 - -1186?
-1558
In base 7, what is 1355155 + 4?
1355162
In base 3, what is 10202001120 - -112?
10202002002
In base 3, what is 1120 + -2220102?
-2211212
In base 2, what is -1001100000111011010 + 1?
-1001100000111011001
In base 7, what is -306 - 31?
-340
In base 10, what is 18188 + 3?
18191
In base 12, what is -56a - 9a1?
-134b
In base 4, what is -22 + -13300331?
-13301013
In base 9, what is 3380 - 67?
3312
In base 9, what is 11176 + 55?
11242
In base 10, what is 238893 + -8?
238885
In base 13, what is -23a + -155?
-392
In base 7, what is 252410 - 3?
252404
In base 12, what is -815 - 69?
-882
In base 7, what is -1 + -332516?
-332520
In base 6, what is -23 + -5120024?
-5120051
In base 12, what is 1 + 206b6?
206b7
In base 9, what is 268 - 2468?
-2200
In base 10, what is 238 - 17423?
-17185
In base 10, what is -185 + -656?
-841
In base 5, what is 20 - 13404?
-13334
In base 3, what is 0 - -12202120?
12202120
In base 16, what is 5 + 46d4?
46d9
In base 16, what is -4 + -5c5fd?
-5c601
In base 4, what is -212 - 32002?
-32220
In base 7, what is 500633 + 3?
500636
In base 10, what is 6452 - 0?
6452
In base 5, what is -413142 - -41?
-413101
In base 3, what is -12010102 - 10100?
-12020202
In base 9, what is -433106 - -5?
-433101
In base 2, what is -111000010 - 1001110000?
-10000110010
In base 4, what is 3133 - 120201?
-111002
In base 14, what is -21 - 332b?
-334c
In base 12, what is 13 + -8217a?
-82167
In base 11, what is -2a8 + 59?
-24a
In base 14, what is -26c4 + 3?
-26c1
In base 9, what is -354 + -30?
-384
In base 12, what is -2 - 590a?
-5910
In base 9, what is -2222104 + 4?
-2222100
In base 3, what is -1220000120 + 11?
-1220000102
In base 15, what is 1d59b1 - -3?
1d59b4
In base 7, what is 126 - 11134?
-11005
In base 6, what is -2 + 24153143?
24153141
In base 8, what is 171 - -1513?
1704
In base 8, what is 763 - 22?
741
In base 8, what is 2764 - 1734?
1030
In base 10, what is -1 + -66457?
-66458
In base 12, what is 39 + -311?
-294
In base 13, what is -4 - -41b1?
41aa
In base 2, what is -11111 + 1010011001010?
1010010101011
In base 7, what is 466 - -30302?
31101
In base 6, what is -2 - -105510?
105504
In base 15, what is 787 - -4?
78b
In base 11, what is 24 - -5192?
5206
In base 9, what is -858 - 502?
-1461
In base 12, what is -5a - -13175?
13117
In base 16, what is ef75 - -4?
ef79
In base 16, what is 5 + 115c3?
115c8
In base 15, what is 0 - c0d?
-c0d
In base 3, what is 1001122212110 - 2?
1001122212101
In base 13, what is -5225 - 6?
-522b
In base 10, what is -12 - -6065?
6053
In base 2, what is 111000110 + 1001?
111001111
In base 9, what is -16 + -22887?
-23014
In base 6, what is 13 + -234021?
-234004
In base 5, what is -34202 + 0?
-34202
In base 3, what is 121102 + 1201?
200010
In base 14, what is 21a - 15?
205
In base 9, what is -3 + 182747?
182744
In base 5, what is -4 + -20334303?
-20334312
In base 12, what is -47 - 1212?
-1259
In base 7, what is -125011 - 0?
-125011
In base 9, what is -23 + 3330?
3306
In base 9, what is 6254776 + 0?
6254776
In base 12, what is -294 - -294?
0
In base 11, what is 12376 - 6?
12370
In base 5, what is 120342340 + -10?
120342330
In base 11, what is -180 + 1170?
aa0
In base 5, what is -2 - 1002421?
-1002423
In base 12, what is -21b + 189?
-52
In base 13, what is -1c444 + 4?
-1c440
In base 12, what is -2868 + -261?
-2b09
In base 14, what is -3a + 3dd?
3a3
In base 5, what is 1440043 + -44?
1434444
In base 8, what is 12 + 10703?
10715
In base 9, what is 4053 + -156?
3786
In base 8, what is 1 - 10465?
-10464
In base 14, what is -1c0a23 - -3?
-1c0a20
In base 7, what is 420405 - -11?
420416
In base 4, what is -3120121313 + 2?
-3120121311
In base 15, what is 2d15c - 0?
2d15c
In base 10, what is -5115 - 951?
-6066
In base 5, what is 2 + -122440?
-122433
In base 12, what is -1b + -182?
-1a1
In base 10, what is 6 - -16133?
16139
In base 3, what is -11 + -1210100100?
-1210100111
In base 11, what is -10 + -260389?
-260399
In base 8, what is 130 - -11310?
11440
In base 5, what is 12230141 + 3?
12230144
In base 3, what is -112120 - -22002?
-20111
In base 13, what is 1183a3 - 0?
1183a3
In base 7, what is 4343 + -11?
4332
In base 10, what is 819 + -62?
757
In base 2, what is -10 - 101001011000110110?
-101001011000111000
In base 11, what is 12705 + -13?
126a2
In base 5, what is 2 + 43212024?
43212031
In base 13, what is -7 - -29?
22
In base 15, what is 74d - -9?
757
In base 14, what is -3 - 249ac?
-249b1
In base 12, what is aa5b5 + -2?
aa5b3
In base 13, what is 9b9 + 2a?
a16
In base 10, what is 681 + 198?
879
In base 15, what is 1467 - 4?
1463
In base 9, what is 472883 + 2?
472885
In base 10, what is 39326 + 43?
39369
In base 11, what is 522618 + 4?
522621
In base 5, what is -11 + 23441?
23430
In base 13, what is -3 + 41877?
41874
In base 9, what is -248 + -56?
-315
In base 3, what is -12212110220 - 2?
-12212110222
In base 15, what is 43b7 - -45?
440c
In base 14, what is 1 + -502c?
-502
|
{
"pile_set_name": "DM Mathematics"
}
|
est common divisor of 3393 and 117.
117
Calculate the greatest common factor of 76 and 1384.
4
Calculate the greatest common factor of 60 and 960.
60
What is the greatest common factor of 55 and 2959?
11
What is the highest common divisor of 21 and 24?
3
What is the highest common factor of 180 and 2385?
45
Calculate the highest common divisor of 4865 and 595.
35
What is the highest common divisor of 5720 and 1100?
220
Calculate the greatest common factor of 138 and 207.
69
What is the highest common divisor of 90 and 954?
18
What is the highest common factor of 567 and 7?
7
Calculate the greatest common divisor of 782 and 23.
23
Calculate the greatest common factor of 33 and 1074.
3
Calculate the greatest common divisor of 799 and 47.
47
Calculate the highest common divisor of 4 and 261.
1
Calculate the greatest common factor of 8 and 16.
8
Calculate the greatest common divisor of 7514 and 34.
34
Calculate the greatest common factor of 187 and 493.
17
Calculate the greatest common factor of 602 and 28.
14
What is the highest common divisor of 81 and 153?
9
Calculate the greatest common divisor of 28 and 238.
14
Calculate the highest common divisor of 60 and 210.
30
Calculate the highest common factor of 184 and 782.
46
What is the greatest common divisor of 1134 and 810?
162
What is the greatest common divisor of 102 and 6018?
102
Calculate the greatest common divisor of 126 and 4578.
42
Calculate the highest common factor of 42 and 2688.
42
What is the highest common divisor of 45 and 285?
15
Calculate the highest common divisor of 5518 and 124.
62
Calculate the highest common divisor of 117 and 3328.
13
Calculate the greatest common factor of 171 and 5928.
57
Calculate the highest common factor of 284 and 355.
71
Calculate the highest common factor of 87 and 319.
29
What is the greatest common factor of 22 and 1397?
11
What is the highest common factor of 1281 and 21?
21
What is the greatest common factor of 7437 and 777?
111
What is the highest common factor of 70 and 190?
10
Calculate the highest common divisor of 19 and 38.
19
Calculate the highest common factor of 39 and 3.
3
What is the greatest common factor of 800 and 25?
25
What is the greatest common divisor of 518 and 2294?
74
What is the greatest common factor of 40 and 160?
40
What is the highest common factor of 608 and 160?
32
Calculate the highest common divisor of 72 and 45.
9
Calculate the highest common divisor of 205 and 164.
41
What is the highest common divisor of 3127 and 59?
59
What is the highest common factor of 11 and 1265?
11
Calculate the highest common factor of 33 and 231.
33
What is the highest common divisor of 15672 and 8?
8
What is the greatest common divisor of 92 and 1886?
46
What is the highest common divisor of 99 and 1243?
11
Calculate the highest common factor of 7 and 49.
7
Calculate the highest common divisor of 894 and 102.
6
Calculate the greatest common divisor of 10288 and 32.
16
Calculate the highest common divisor of 148 and 11174.
74
Calculate the greatest common divisor of 7 and 1.
1
Calculate the greatest common divisor of 308 and 8.
4
What is the highest common divisor of 8246 and 310?
62
Calculate the greatest common factor of 327 and 1199.
109
What is the greatest common divisor of 800 and 1250?
50
Calculate the greatest common factor of 108 and 999.
27
Calculate the greatest common factor of 120 and 4900.
20
Calculate the highest common divisor of 21 and 57.
3
Calculate the highest common divisor of 136 and 102.
34
What is the highest common factor of 19887 and 42?
21
Calculate the highest common factor of 70 and 6286.
14
Calculate the greatest common divisor of 884 and 8636.
68
Calculate the greatest common factor of 72 and 63.
9
What is the greatest common divisor of 14392 and 252?
28
What is the greatest common divisor of 8631 and 21?
21
Calculate the greatest common divisor of 7 and 623.
7
Calculate the highest common divisor of 2 and 250.
2
What is the greatest common factor of 3 and 3957?
3
Calculate the greatest common factor of 682 and 248.
62
What is the greatest common divisor of 132 and 4785?
33
What is the greatest common factor of 3 and 633?
3
What is the greatest common divisor of 8772 and 12?
12
What is the highest common factor of 283 and 21225?
283
What is the highest common divisor of 16 and 176?
16
Calculate the greatest common divisor of 174 and 290.
58
Calculate the highest common divisor of 477 and 441.
9
What is the highest common factor of 6069 and 28?
7
Calculate the highest common factor of 127 and 3.
1
What is the highest common factor of 360 and 504?
72
Calculate the highest common divisor of 400 and 48.
16
Calculate the highest common factor of 245 and 14.
7
Calculate the greatest common divisor of 273 and 1155.
21
Calculate the greatest common divisor of 782 and 238.
34
Calculate the highest common factor of 32 and 16.
16
Calculate the highest common divisor of 81 and 90.
9
Calculate the highest common divisor of 30 and 40.
10
What is the highest common factor of 188 and 22466?
94
Calculate the greatest common factor of 279 and 3999.
93
What is the highest common factor of 280 and 56?
56
Calculate the greatest common factor of 153 and 9.
9
Calculate the highest common divisor of 1173 and 1587.
69
Calculate the highest common divisor of 1258 and 272.
34
Calculate the highest common factor of 2914 and 94.
94
Calculate the greatest common divisor of 336 and 1792.
112
What is the greatest common factor of 902 and 990?
22
What is the greatest common factor of 8 and 150?
2
What is the highest common divisor of 15 and 80?
5
What is the greatest common divisor of 250 and 75?
25
What is the highest common factor of 19475 and 38?
19
Calculate the greatest common factor of 62 and 10.
2
Calculate the greatest common factor of 102 and 132.
6
Calculate the highest common divisor of 22 and 88.
22
Calculate the greatest common divisor of 48 and 408.
24
What is the highest common divisor of 68 and 4471?
17
What is the greatest common divisor of 527 and 17?
17
What is the highest common divisor of 71 and 71?
71
What is the greatest common divisor of 320 and 80?
80
Calculate the highest common factor of 1080 and 264.
24
What is the highest common factor of 21 and 23877?
21
Calculate the highest common divisor of 132 and 198.
66
Calculate the highest common divisor of 112 and 56.
56
What is the highest common factor of 10 and 215?
5
Calculate the greatest common divisor of 296 and 8.
8
Calculate the highest common factor of 357 and 42.
21
What is the highest common factor of 768 and 192?
192
Calculate the highest common divisor of 87 and 580.
29
What is the highest common divisor of 354 and 236?
118
Calculate the greatest common divisor of 363 and 22.
11
Calculate the highest common factor of 38 and 304.
38
Calculate the highest common divisor of 28 and 154.
14
Calculate the greatest common divisor of 3192 and 48.
24
Calculate the highest common divisor of 19 and 43.
1
Calculate the greatest common factor of 2 and 302.
2
What is the greatest common divisor of 3366 and 2673?
99
What is the greatest common factor of 54 and 86?
2
Calculate the highest common divisor of 1755 and 130.
65
Calculate the highest common divisor of 104 and 741.
13
Calculate the highest common factor of 240 and 2040.
120
What is the highest common divisor of 2736 and 432?
144
Calculate the greatest common factor of 975 and 260.
65
Calculate the highest common factor of 31 and 11129.
31
What is the highest common divisor of 52 and 1196?
52
Calculate the greatest common divisor of 414 and 115.
23
What is the highest common divisor of 12096 and 189?
189
What is the greatest common divisor of 5614 and 14?
14
What is the highest common divisor of 72 and 153?
9
What is the greatest common divisor of 357 and 51?
51
Calculate the highest common divisor of 1496 and 616.
88
What is the greatest common divisor of 60 and 10?
10
What is the greatest common divisor of 1751 and 34?
17
Calculate the highest common factor of 10560 and 33.
33
Calculate the highest common divisor of 5 and 395.
5
Calculate the highest common divisor of 3 and 177.
3
What is the highest common factor of 12 and 21?
3
What is the greatest common factor of 48 and 936?
24
Calculate the highe
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 0 = 4*h - 5*w + 2, -h - 3*w + 26 - 18 = y. Which is bigger: h or -4?
h
Let j = -6.093 - -10.093. Let g = 31/33 - 949/132. Is j less than g?
False
Let y(a) = a**2 + 7*a - 134. Let t be y(-15). Suppose 4*n - 3 = i - 4, 3*i = -3*n - 42. Which is bigger: t or i?
i
Let n be (40/5)/2*(-2)/4. Let p be (30/5 + -5)/((-15)/(-9)). Which is greater: p or n?
p
Let m = -8.8 - -10. Suppose 131*v = -110 + 337 + 821. Is m at least as big as v?
False
Let i = -205.74 - -205. Let a = i - -0.04. Let r = 3.2 + -3. Which is smaller: r or a?
a
Let c = 0.03 + -2.03. Let j = -21547.796 - -21547.8. Which is greater: j or c?
j
Let p be ((-1)/(-2))/(((-36)/1472)/(-9)). Let s = p + -296. Let b be (-6)/24 - 92/s. Is 0.8 not equal to b?
True
Let i(n) = -n**2 + 5*n + 70. Let a be 156/(-20) + 8/(-40). Let v be i(a). Which is smaller: 0 or v?
v
Suppose 3*u + 27 = -4*s, 3*u + 61*s - 3 = 62*s. Which is bigger: -1/98 or u?
-1/98
Let g = 0.283 + 0.0177. Which is greater: 0 or g?
g
Suppose -s - 2 = 0, 2*c = 7*s - 4*s + 68. Suppose -c = 4*x + 77. Are 2 and x non-equal?
True
Let s be (-800)/55 + (-10)/5. Let j = s + 3072/187. Let p(t) = -2*t - 1. Let r be p(-2). Which is smaller: j or r?
j
Let c(y) = -2*y**2 + 45*y - 35. Let o be c(22). Let w be -12*(1 + (-21)/6). Let a = -44 + w. Which is greater: o or a?
o
Suppose -50*h + 24 = -42*h. Let a be h*(-1)/(29/2). Let l = 0 + 1. Which is smaller: l or a?
a
Let x = -490.2 - -590. Let j = 100 - x. Let s = 4.7 - 5. Which is smaller: j or s?
s
Let q(n) = 8*n + 83. Let k be q(-10). Let v be (3/(-9))/(k + (-32)/12). Is -39 greater than or equal to v?
False
Let v(c) = 116*c + 19461. Let h be v(-168). Suppose -5*l + 17 = -8. Let t = -21 - l. Which is smaller: h or t?
h
Let w = 28 + -61. Let u = w - -33.29. Let h = u - 0.39. Do -10 and h have different values?
True
Suppose 10*t + 5470 = -820. Let v = -23275/37 - t. Let w be 0/(8/4 + -4). Which is smaller: v or w?
v
Let l be 7514/1876 + (-692)/173. Which is greater: l or 0?
l
Let y = 1693 - 1677. Is y smaller than -0.03?
False
Let x be 1 + 2 - (6 + 1). Let g be 73/(((-16)/x)/8). Let j = g + -455/3. Which is smaller: j or -6?
-6
Suppose -4*v + 2 = -6. Let c be (-1804)/16 + v + -1. Let x = c - -112. Which is greater: -2.9 or x?
x
Let u = -3378 - -26975/8. Let d = 801/136 + u. Which is bigger: 0 or d?
0
Let y(i) = -i**3 + 29*i**2 + 31*i - 34. Let q be y(30). Let r be (-2016)/(-2790) + q/10. Which is smaller: r or 1?
r
Suppose -146*q + 4*t = -141*q + 8148, 3*q + 4*t + 4876 = 0. Which is smaller: q or -1629?
-1629
Suppose 0 = -5*z + z + 4*j + 20, -j - 2 = 2*z. Let a(c) = c**3 - 3*c**2 + 9*c - 6. Let m be a(z). Let d = -1/585 - -5857/4095. Is m equal to d?
False
Let o be (3/(-1))/((-5)/((-300)/(-6))). Let i be (4/(-6041))/(o/(-105)). Which is smaller: -1 or i?
-1
Let n be (4 - (-45)/(-12)) + 967/4. Suppose 5*w - n = 12*s - 8*s, 4*w + 4*s - 208 = 0. Which is greater: w or 48?
w
Let n(q) = 7*q - 56. Let f be n(8). Suppose -2*x - 5*z + 32 = f, 5*z = -44 + 24. Which is bigger: x or 25?
x
Let k be -1 + (452/144 + -3)*28. Suppose -j - 23 = -5*c, 6*c + 67 = -4*j + c. Let p = j + 21. Is p less than k?
False
Suppose -3*l = -6884 - 12853. Suppose -l = 2*v + 2*w - 16465, -2*v - 3*w = -9887. Let a = v + -44428/9. Which is smaller: a or 5?
5
Let s = -944.8 - 0. Let a = 945 + s. Which is greater: a or -0.6?
a
Let m be 1 - (240/(-118) + 3). Let x(g) = -16*g. Let i be x(0). Is i greater than or equal to m?
False
Let g = -5 + 2. Let o = -9415 - -9451. Let v be 9/g - (-6 - o). Which is bigger: 40 or v?
40
Let m be -1 + (-6)/1 - (0 - -1228). Which is smaller: -1233 or m?
m
Let n be ((-391)/34 - -11)*-2. Which is greater: n or 3/1271?
n
Let s be (-2 + (4 - 3))/(-1). Which is bigger: -2/155 or s?
s
Let v = -0.167 + -2.463. Let g = -2.73 - v. Do g and 19/9 have the same value?
False
Suppose 1897 = 22*u - 3273. Does 270 = u?
False
Suppose -3*i = -5*j - 58, -5*i + j + 45 = 3*j. Suppose -i*b + 10*b - 6 = 0. Suppose 0*d + 12 = -d. Which is smaller: d or b?
d
Let j be (-2)/(-22) + ((-7)/((-770)/(-7820)) - 1). Suppose 0*f = 3*f + 216. Are j and f unequal?
False
Let t = -102.187 + 92.47. Let g = t - 0.283. Which is greater: 1.3 or g?
1.3
Let d = 598 + -337. Let o = d - 180. Let a = o - 77. Is 3 at most a?
True
Let u = 1.2 + -0.2. Suppose 0 = 42*a + 27370 - 1246. Let m = a + 614. Which is bigger: u or m?
u
Let i be 117/108 + -1 + 656787/(-3492). Let b(s) = -47*s - 1. Let r be b(4). Is r > i?
False
Let v = -3025 + 3014. Does v = -588/53?
False
Suppose 4*n + z = -0*z, -2*n + 14 = -3*z. Let o be (-130)/126 + 2/2. Is o >= n?
False
Let u(i) = -i**2 + 5*i + 4. Let k be u(5). Suppose -2*m - 71 = 5*o, -k*m - 1 = 3*o + 50. Let j = -37 - -25. Is o at most j?
True
Let x = -15 + 21. Suppose 4*r - x*r = 104. Let p be (r/(-18) + -2)*3/(-2). Which is smaller: p or 0?
p
Let q(u) = -u**3 + 8*u**2 - 16*u - 3. Let p be q(4). Let g(x) = -x + 8. Let r be g(0). Let f = r - p. Is f > 11?
False
Let l be (-1)/(-3) + 62/(-150). Let y(n) = -n**3 + 12*n**2 - 9*n - 21. Let i be y(11). Which is smaller: i or l?
l
Suppose -90*l = -7846 - 164. Which is greater: l or 101?
101
Suppose -5*s - 5 = 5*l, 0 = 59*s - 55*s - 7*l - 18. Which is bigger: s or 1/9750?
s
Let m(p) = 7*p - 18*p + 7*p + 5 + 8*p - 63*p**2. Let s be m(-2). Let q be s/(-34)*4/265. Which is bigger: 0 or q?
q
Let j = 192 + -236. Let p = 61 + j. Is -1/4 bigger than p?
False
Let r be (-3)/(24/(-5164)) + 54/12 + -4. Is 646 at least as big as r?
True
Suppose -176 = -23*b - 452. Let j be 0 + 1 + 8/(-1). Let q be j/(28/(-12)) - b/(-3). Is 5 not equal to q?
True
Let r be 1 - 5 - ((-6490)/930 + 3). Let w = -143 + 142. Is r greater than w?
True
Let l be (28/(-84))/(2/(-24)). Suppose 0 = l*q + 6*q + 1140. Let o be -4 + (-237)/q*2. Are 0 and o equal?
False
Let x be (65 - 78) + 1*12. Is -3/134 > x?
True
Let i be (6/(-8))/(180/25840). Which is greater: -107 or i?
-107
Let w = -0.6154 + 0.3754. Is w < 55?
True
Let j = -41.3 - -44.6. Do 56/3 and j have the same value?
False
Let s = 488 - 501. Which is greater: 1/130 or s?
1/130
Let c = 550 - 210. Let i = 339.4 - c. Which is smaller: -0.2 or i?
i
Let n be 2/12 + (-35)/42. Let q be (-2)/(-3) + 1162/(-42). Let u be (-117)/q - 4/1. Which is greater: u or n?
u
Let c = 220 + -226. Let b be (-1067)/22 + (c - -1). Which is greater: -55 or b?
b
Let o = -166973/12 + 13914. Is -1 at least as big as o?
False
Let b(g) = g**3 - 5*g**2 + 4*g + 3. Let c be b(0). Let r be ((-3)/(-2))/((-6)/(-12)). Suppose r*j + 0*j - c = 0. Do 2/121 and j have different values?
True
Let m be (-114)/6 - (-131533)/6913. Which is greater: 1 or m?
1
Let j be 10262/((-2)/6*48/(19 - 27)). Is 5131 greater than j?
False
Let a(k) = -21*k - 1 - 8*k**2 - k**3 + 4*k + 7*k. Let m be a(-5). Let h = -27 - m. Which is smaller: h or -3?
-3
Let l(g) = g + 21. Let t be l(-12). Let o be (-42)/t*(-9)/33. Let j = 5/22 + o. Which is greater: 0.7 or j?
j
Suppose -34 = -11*w - 6*w. Suppose 3 = t - 1. Suppose t*c + w = 5*m, 3*m + m = 5*c + 7. Which is smaller: m or -3?
-3
Let k = -12605/48 + 525/2. Let g = -9/16 + k. Which is smaller: g or 23?
g
Let b(s) = s + 15 + s**2 + 8 - 25*s. Let y be (9 - (-4 - -12)) + (4 - -18). Let n be b(y). Are -1/39 and n nonequal?
True
Let x be 6/(-112) + 21/49 - 12/32. Which is smaller: 15/178 or x?
x
Let d be (4/(-80)*-54)/((-245)/98). Do 0 and d have the same value?
False
Suppose 14*c - 4*c = 40. Suppose 5*x = 4*q - 859, x + c*x + 2*q + 853 = 0. Are -171 and x nonequal?
False
Let i be (-1)/2*2*8. Let x = 5 + i. Let d = -135023 - -675103/5. Which is bigger: d or x?
d
Let b = -1.239 + 22.679. Let l = -21.5 + b. Is -0.2 equal to l?
False
Suppose -d + 4 = -3*c, -5*d + d - c = -16. Suppose d*y - w + 439 = 0, 4*y = y - 5*w - 335. Are -111 and y non-equal?
True
Let r = -103 - -136.2. Let i = r + -33.324. Is 1 smaller than i?
False
Suppose -2*p + 3*t + 4 + 0 = 0, 12 = p + t. Let n be (16 - 18)*2/p. Is n at least -1.6?
True
Suppose 0 = 4*j - 14 - 6, 4*j = 3*n - 1090. Let q be n/(-20) + 8 + 8. Which is greater: q or -2?
-2
Let h be (11 + (-180)/15)*1. Let c = 683 - -424. Let g = -58669/53 + c. Which is bigger: g or h?
g
Let f = 252 - 456. Let q = 265 + f. Which is smaller: q or -3?
-3
Suppose 12*t - 2 = 14*t. Suppose -2*p + 40 = -2. Let c be -6 + 5 + 12/p. Which is bigger: t or c?
c
Let u = -
|
{
"pile_set_name": "DM Mathematics"
}
|
j - m*r = 6. What is the common denominator of 1/(-3)*201/j and 46/11?
22
Suppose 0 = x - 3 - 0. Suppose x*h - 47 = -17. Calculate the lowest common multiple of 24 and h.
120
Let j = 8 + -4. Suppose j*n = 26 + 46. Calculate the lowest common multiple of n and 14.
126
Let x be ((-35)/(-10))/((-30)/(-147)). Let r = x + -32/5. Calculate the common denominator of r and -37/20.
20
Let c be 52/56*(-34292)/(-4190). Let b = -1/2933 - c. Calculate the common denominator of 43/7 and b.
35
Let j be ((-2)/8)/(6006/380296). Let z = -1/286 + j. Calculate the common denominator of 151/12 and z.
12
Suppose 0 = -4*t - 2*h + 30, -4*h + 0 - 3 = -t. What is the lowest common multiple of 1 and t?
7
Let k = 4973/4 + -1262. Find the common denominator of 110/(-2)*1/(-8) and k.
8
What is the common denominator of (1 - 4) + 4 - 31 and 18/5?
5
Let u = 2 + 5. What is the lowest common multiple of 10 and u?
70
What is the least common multiple of 16 and (-24)/8 - (-4 + -1)?
16
Let o be (-2)/(-11) + (-108925)/(-15048). Let k = o - 5/1368. Find the common denominator of k and 85/8.
24
Let w = 10405 + -228961/22. Let f = 125152 + -1002557/8. Let k = 2593/16 + f. Find the common denominator of k and w.
176
Let o(p) = -p**2 - p. Let q be o(-2). Let x = q + 17. Suppose 6*t - 3*t - x = 0. Calculate the least common multiple of 10 and t.
10
Suppose 0 = -o + 4*r + 16, -r = -4*o - 13 + 77. Calculate the least common multiple of 10 and o.
80
Let o be 2 + 0 + -2 + 5. Suppose 0 = 2*a + 3*a + o. What is the common denominator of 73/10 and 34/(-24) - a/4?
30
Let k = -2776859/96 + 28926. What is the common denominator of -115/14 and k?
672
Suppose -2*v + 2 = -0. Suppose -2*j + 33 = v. What is the least common multiple of j and 18?
144
Let a be 4/20 - 158834/117640. Let d = a - -1/5882. Let w = -1221/7 - -347/2. Calculate the common denominator of w and d.
140
Let p(j) = -7*j + 1. Let d(t) = t. Let o(g) = -6*d(g) - p(g). Let x be o(1). Let v = x + 12. Calculate the smallest common multiple of v and 6.
12
Let v(i) = i - 2. Let w be v(5). Let o(h) = 8*h**2 - h + 1. Calculate the least common multiple of o(1) and 12/4 - w - -7.
56
Calculate the common denominator of (-4)/(-6) - (-610)/(-24) and ((2 - 1) + 0)/(28/142).
28
Let k(b) = -b + 10. Let m be k(9). What is the common denominator of -89/12 and (204/8)/(-1 - m)?
12
Let s(h) = -13*h + 126. Let l(b) = -b - 2. Calculate the lowest common multiple of l(-4) and s(8).
22
Let o = 9 - 6. Find the common denominator of -121/10 and -1 - (-284)/28 - o.
70
Let z = 11 - 7. What is the lowest common multiple of (6/z)/(9/96) and 12?
48
Calculate the least common multiple of (14/3)/((-2)/(-9)) and 33.
231
Let v = 49 - 17. Calculate the smallest common multiple of v and 4.
32
Suppose -5*t + 4845 = -5*k, 3*k + 223 = -4*t - 2705. Find the common denominator of (k/8)/(0 - 33) and -55/16.
176
Let m(r) = r**3 + 10*r**2 - 3*r - 8. Let y be m(-10). Suppose -2*z + 4*z = y. Calculate the lowest common multiple of z and 4.
44
Let m = -2733347/8 - -340814. Let v = 1998 - 1145. Let q = v + m. Find the common denominator of q and 89/16.
16
Let g = -60 - -27. Let b be (18813/(-8))/(18/(-8)). Let l = b - 1048. Calculate the common denominator of l and g.
6
Find the common denominator of ((-355)/(-10))/((-9)/2) and -46/5.
45
Suppose 5*c + 2*x + 7942 = 0, 0*c - x + 3175 = -2*c. Let d = 7894/5 + c. Calculate the common denominator of d and 46/5.
5
Suppose t - 5*t = 3*y - 29, -3*y = t - 5. Suppose 2*w - t = 76. Suppose 5*o = -4*l + 35, -o - o + 4*l + w = 0. What is the smallest common multiple of o and 8?
88
Let x be (-10)/(-25) - (-22446)/(-1100). Let z = 474/25 + x. Let w = 1125 - 22529/20. What is the common denominator of w and z?
220
Suppose 0 = 5*p + 9 + 16. Let r = -11 - p. Find the common denominator of -62/5 and (-10)/(-4) - (-3 - r).
10
Let x(i) = 622*i + 2. Let p be x(4). Suppose -2*m = 3596 + p. Let u = m - -33500/11. Calculate the common denominator of -8 and u.
11
Let g(o) = -o**2 + 9*o + 11. Let k be -2*(-3)/6 + 8. Calculate the lowest common multiple of 11 and g(k).
11
Calculate the common denominator of (-1)/4 + 764/144 and 2 + 1/36*158.
18
Let y = -9/35 - 533/105. Let c = 584/5 - 4328/35. Find the common denominator of c and y.
21
Let r be (-2)/(-4)*(1 - 1). Let o = 18 - r. Let a = -113 + 135. Calculate the lowest common multiple of a and o.
198
Suppose z + 7 = b, -4*b - b + 17 = 4*z. Calculate the lowest common multiple of b and 9.
45
Let p(q) = 21*q**2 - q - 1. Let i be p(-1). What is the least common multiple of (-12)/(-21) - (-51)/i and 7?
21
What is the lowest common multiple of -3*(44/(-15))/(2/5) and 4?
44
Suppose 5*t = 5*m + 25, -3*m + 0*t + 2*t = 10. Suppose 22 = 3*d + 3*z + z, -3*d = -z - 2. Calculate the least common multiple of (-2 + 19 - m) + -3 and d.
14
Let c = -5814/1015 + 2/145. Calculate the common denominator of c and -43/9.
63
Find the common denominator of 385/(-44) + 6/(-4) + 1 and 15/4.
4
Suppose -5 = -5*k + 3*t, k - 5*t + 9 = -3*k. Let s(r) = r**2 + 9*r + 11. Calculate the smallest common multiple of k and s(-8).
12
Let h = 3656927/142324 + -8258/391. Let q = h + -15/52. What is the common denominator of (-2)/7 + (-834)/(-28) and q?
14
Suppose 6*y = 17 + 7. Let t(w) = -w**2 + 7*w - 10. Calculate the smallest common multiple of t(y) and 4.
4
Let d(f) = -f**3 - 3*f**2 + 6*f + 5. Find the common denominator of 62/5 and d(-5).
5
Let m(f) = -5*f**3 - 2*f**2 + 3*f. Let s(n) = 11*n**3 + 5*n**2 - 6*n + 1. Let l(h) = -13*m(h) - 6*s(h). What is the lowest common multiple of l(-4) and 9?
18
Let g = 28 - 14. Calculate the least common multiple of g and 20.
140
Let l be 2/(-13) - 413031/(-390). Let i = 2331 + -1273. Let r = i - l. Find the common denominator of r and 99/20.
20
Let i(l) = -2*l**3 - l**2 - l + 1. Let n be i(-2). Let w = n - -3. What is the lowest common multiple of 4 and w?
36
Let h = 672/11 + -6797/110. Suppose 5*t + 18 = 128. What is the common denominator of h and 9/(-36) + t/(-24)?
30
Let y be 0 - (-3 + 3)/(-2). Suppose j - 1 = -y*j. Calculate the lowest common multiple of 11 and (-3 + 2)/(j/(-8)).
88
Let s(m) = m**3 - 2*m**2. Let v be s(2). Suppose -2*w = 4*d, -2*w = 2*d + 2 - v. Calculate the lowest common multiple of 5 and d.
5
Let t(x) = -x - 5. Let y(q) = q**2 - 11*q + 17. Let o be y(8). What is the least common multiple of 16 and t(o)?
16
Let h = 33493/9 - 3728. Suppose 22 = -w + 4*t - t, 0 = -5*w - 5*t - 50. Let c = w - -125/6. Find the common denominator of c and h.
18
Let h = -10487/6 - -1738. What is the common denominator of -14 and h?
6
Let i = 39 - -21. What is the least common multiple of 14 and i?
420
Find the common denominator of -67/2 and 2/(-6) + (-198)/864.
16
Let r be 3*((-8)/(-345))/4. Let o = 159/2530 - r. Find the common denominator of 89/16 and o.
176
Suppose -3*a - 16 = a - 4*i, -8 = 3*a - i. Let r be 0*(a + 15/6). What is the lowest common multiple of 8 + r - (0 + 0) and 20?
40
Calculate the common denominator of 3*(-2)/(-18) - 202/(-12) and -17/8.
24
Let a = 74101/22 + -3365. Let f = -87/133 + -10793/1596. Find the common denominator of a and f.
132
Let r(d) = d + 1. Let x be r(5). Let j be 0 + (-3)/(9/x). What is the lowest common multiple of j/(-4) + (-1)/(-2) and 9?
9
Let j be 315/2*-86*2. Let k be 4/(-14) + (-181221)/j. Let i = 64/129 + k. What is the common denominator of 59/9 and i?
90
What is the common denominator of 1/22 and (-555)/252 - 4/(-14)?
132
Suppose 0 = -3*c + 2 - 17. Let u = 4 + c. Let k = 3 - u. Calculate the least common multiple of k and 4.
4
Let y = 15485/12 + -1288. Let h = -297973/87930 + -2/14655. Calculate the common denominator of y and h.
36
Suppose 0 = -4*o - 11 + 35. Suppose 17 = -4*b + 89. Calculate the least common multiple of b and o.
18
Let d = 63 + -191/3. Calculate the common denominator of d and -25/9.
9
Calculate the common denominator of 94/6 - (2 + 0) and -74/3.
3
What is the common denominator of 7*-1*(-8)/96 and 9/8?
24
Suppose 0 = -2*x - 3*x. Suppose 0 = 2*w - 4, -w + x*w - 13 = -3*i. What is the least common multiple of i and 6?
30
Let h = 2879/618 - -18/103. Let b be (-217048)/384 - 2/6. Let d = b - -2253/4. What is the common denominator of d and h?
48
Let f(w) = -7*w - 4. Let k be f(6). Let p = -26 - k. Let o(v) = v + 1. What is the lowest comm
|
{
"pile_set_name": "DM Mathematics"
}
|
thout replacement from {w: 1, e: 3, d: 1, k: 1, a: 6}.
9/110
Calculate prob of picking 2 f when two letters picked without replacement from {s: 11, f: 2}.
1/78
Calculate prob of picking 3 x and 1 r when four letters picked without replacement from xxrxfrxrxr.
4/21
Calculate prob of picking 2 v when two letters picked without replacement from fcffkvfkccv.
1/55
What is prob of picking 1 h and 1 w when two letters picked without replacement from hahawhwaawhhhcwphp?
28/153
Two letters picked without replacement from qziqiii. Give prob of picking 2 i.
2/7
Four letters picked without replacement from sszggzgzzz. Give prob of picking 3 g and 1 s.
1/105
Two letters picked without replacement from lllqlwqwbr. Give prob of picking 1 q and 1 b.
2/45
What is prob of picking 2 i and 2 n when four letters picked without replacement from {i: 3, n: 3}?
3/5
What is prob of picking 1 n and 2 s when three letters picked without replacement from {n: 5, f: 1, s: 5, e: 3, i: 1}?
10/91
What is prob of picking 1 r and 1 c when two letters picked without replacement from {h: 4, c: 9, r: 6}?
6/19
Four letters picked without replacement from {m: 5, q: 3}. Give prob of picking 3 q and 1 m.
1/14
Three letters picked without replacement from {t: 6, y: 1, u: 3, a: 4, w: 3, r: 1}. What is prob of picking 3 t?
5/204
Calculate prob of picking 1 i and 2 n when three letters picked without replacement from {i: 6, n: 2}.
3/28
Three letters picked without replacement from {k: 1, v: 8, c: 2, n: 1, l: 2}. What is prob of picking 1 l, 1 c, and 1 v?
8/91
Four letters picked without replacement from uzzuuzzz. What is prob of picking 3 z and 1 u?
3/7
Calculate prob of picking 2 h when two letters picked without replacement from rhhw.
1/6
Two letters picked without replacement from rqrqmggrrjghjhrrqrj. What is prob of picking 1 h and 1 g?
2/57
Two letters picked without replacement from xllxssglxllgxmxglxms. Give prob of picking 1 m and 1 x.
6/95
What is prob of picking 1 t and 1 e when two letters picked without replacement from tvvevvvevebvbvevvvv?
4/171
Three letters picked without replacement from vgggggvggggg. Give prob of picking 3 v.
0
What is prob of picking 1 t and 2 e when three letters picked without replacement from ccetcctcceec?
3/110
Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {g: 6, z: 1, k: 3, s: 4}.
18/91
Two letters picked without replacement from {r: 3, z: 9, m: 1, a: 1}. What is prob of picking 1 r and 1 a?
3/91
Calculate prob of picking 1 q, 2 k, and 1 r when four letters picked without replacement from {h: 1, k: 4, q: 1, v: 2, r: 1}.
1/21
What is prob of picking 1 e, 1 v, and 1 f when three letters picked without replacement from {e: 2, f: 1, v: 3, h: 1}?
6/35
What is prob of picking 2 f when two letters picked without replacement from {f: 4, q: 2}?
2/5
Calculate prob of picking 1 y and 1 q when two letters picked without replacement from syzyyzszszyyzqzyy.
7/136
What is prob of picking 1 q, 1 f, and 1 e when three letters picked without replacement from iqofe?
1/10
Two letters picked without replacement from titpcap. What is prob of picking 2 t?
1/21
Three letters picked without replacement from dlhgm. Give prob of picking 1 m and 2 g.
0
Two letters picked without replacement from {f: 1, a: 2, g: 11, z: 1}. What is prob of picking 2 g?
11/21
Three letters picked without replacement from {z: 4, u: 4, a: 7}. What is prob of picking 1 a and 2 z?
6/65
What is prob of picking 3 x and 1 o when four letters picked without replacement from xxoxxxoxoxooxxxx?
165/364
Calculate prob of picking 1 f and 1 l when two letters picked without replacement from fkktl.
1/10
What is prob of picking 3 r and 1 z when four letters picked without replacement from uuucurrzppccwuruu?
1/2380
Calculate prob of picking 1 o and 1 h when two letters picked without replacement from hojigot.
2/21
Two letters picked without replacement from {w: 2, f: 1, s: 1}. Give prob of picking 1 s and 1 f.
1/6
Two letters picked without replacement from saivs. Give prob of picking 1 a and 1 s.
1/5
What is prob of picking 4 n when four letters picked without replacement from {o: 3, n: 8}?
7/33
Four letters picked without replacement from xaxaxxxexiae. What is prob of picking 1 i, 1 x, and 2 a?
2/55
Two letters picked without replacement from anocqqqxncan. What is prob of picking 1 a and 1 o?
1/33
Two letters picked without replacement from {r: 3, d: 5}. What is prob of picking 2 r?
3/28
Two letters picked without replacement from xmihhmmmhhm. What is prob of picking 2 m?
2/11
Four letters picked without replacement from {n: 4, i: 6, h: 10}. What is prob of picking 3 i and 1 h?
40/969
Two letters picked without replacement from zyzyzzzyyyzzzypzzz. Give prob of picking 1 z and 1 p.
11/153
Four letters picked without replacement from brbtrrbtlrrrmftrrbrt. What is prob of picking 1 f, 1 m, and 2 t?
2/1615
What is prob of picking 2 u when two letters picked without replacement from uvvvuvv?
1/21
Three letters picked without replacement from {q: 2, e: 3, n: 6, j: 1, r: 3}. What is prob of picking 1 n and 2 r?
18/455
What is prob of picking 1 d and 1 t when two letters picked without replacement from ttaataddtteattt?
16/105
Two letters picked without replacement from {u: 1, r: 4, q: 6}. What is prob of picking 2 r?
6/55
Two letters picked without replacement from {n: 1, k: 3, w: 1, b: 2, m: 5}. Give prob of picking 2 k.
1/22
Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {c: 1, d: 1, a: 1, o: 1, l: 1}.
1/10
Three letters picked without replacement from {j: 1, w: 1, l: 5, k: 1, c: 3}. What is prob of picking 1 w, 1 j, and 1 l?
1/33
Two letters picked without replacement from szsppppsgsppg. What is prob of picking 1 s and 1 g?
4/39
Three letters picked without replacement from {j: 8, p: 4, q: 1, l: 7}. Give prob of picking 1 l, 1 j, and 1 p.
56/285
Three letters picked without replacement from {a: 1, h: 3, t: 6, g: 2, u: 1, k: 2}. Give prob of picking 3 h.
1/455
What is prob of picking 1 r and 2 y when three letters picked without replacement from {y: 2, e: 5, r: 13}?
13/1140
Calculate prob of picking 4 z when four letters picked without replacement from {u: 5, z: 4, k: 3}.
1/495
Calculate prob of picking 2 x, 1 t, and 1 a when four letters picked without replacement from {a: 3, t: 6, x: 4}.
108/715
Three letters picked without replacement from crnasssacarrsrcscc. What is prob of picking 1 a, 1 s, and 1 r?
5/68
Calculate prob of picking 1 w and 3 i when four letters picked without replacement from riiwwmiiiiirwmiwwi.
7/51
What is prob of picking 1 q, 1 m, and 1 l when three letters picked without replacement from {l: 1, m: 1, k: 1, q: 1, o: 1}?
1/10
Two letters picked without replacement from {c: 3, a: 17}. What is prob of picking 2 a?
68/95
Four letters picked without replacement from yyyyggyyygyyyyyy. Give prob of picking 3 y and 1 g.
33/70
Two letters picked without replacement from {p: 10, l: 9}. What is prob of picking 1 l and 1 p?
10/19
Two letters picked without replacement from mxxnmrxrmmxrrmmrrm. What is prob of picking 1 m and 1 x?
28/153
What is prob of picking 2 o and 2 v when four letters picked without replacement from {o: 6, v: 2}?
3/14
Two letters picked without replacement from {u: 3, w: 1, s: 6, n: 1, a: 4}. Give prob of picking 2 a.
2/35
Three letters picked without replacement from {o: 1, r: 7, h: 4, f: 1, a: 2}. Give prob of picking 1 f, 1 r, and 1 o.
1/65
What is prob of picking 1 l, 2 i, and 1 v when four letters picked without replacement from vllliglgslillssssl?
2/765
What is prob of picking 1 g and 1 e when two letters picked without replacement from {e: 3, g: 12}?
12/35
Three letters picked without replacement from ljsbtbjibii. Give prob of picking 1 s and 2 b.
1/55
What is prob of picking 3 v when three letters picked without replacement from {o: 2, v: 7, f: 3}?
7/44
What is prob of picking 1 v and 1 i when two letters picked without replacement from {p: 1, v: 1, i: 1}?
1/3
Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {f: 2, h: 3, m: 6, j: 1}.
1/33
Calculate prob of picking 2 s and 1 y when three letters picked without replacement from yhstbhrhyhsb.
1/110
Four letter
|
{
"pile_set_name": "DM Mathematics"
}
|
composite?
False
Let y = 262 + -246. Suppose -y*f = -6*f - 23170. Is f a composite number?
True
Let c(m) = -m**3 + 12*m**2 + 18*m + 6. Let y be c(-8). Let j = y - 1647. Let l = j + 804. Is l prime?
False
Suppose -48*p + 23447478 = 1914822. Is p a prime number?
True
Let l = -17531 + 9028. Let t = l + 14966. Is t a composite number?
True
Let k(g) = 2*g - 76. Let v be k(26). Is (-88440)/v - (0 - 6) a composite number?
False
Let g(k) = -29*k + k + 9*k + 2*k + 37 + k**3 + 23*k**2. Is g(-22) prime?
False
Let s be 42/14*(2 + -2 + 1). Suppose 3 = s*n + 3*y, 2*n - 4*y = -n + 17. Suppose -n*c + 1288 = -1433. Is c prime?
True
Let f(o) be the first derivative of o**4/4 + 2*o**3 - 11*o**2 - 26*o - 40. Is f(15) a prime number?
False
Let p(k) = -9*k**3 - 9*k**2 + 12*k - 7. Let v(z) = 27*z**3 + 27*z**2 - 36*z + 21. Let c(w) = -7*p(w) - 2*v(w). Is c(5) a composite number?
False
Suppose 1887534 = 37*g - 1989067. Is g composite?
False
Let u be 1/(2/6) + -3. Suppose -t + u + 4 = 0. Suppose -t*x + 277 = -471. Is x composite?
True
Suppose 7*q = 97540 + 510879. Is q a prime number?
False
Suppose 20*w + 36 = 24*w. Suppose -2*c + 2*t = -15428, -10*c + w*c - 2*t + 7717 = 0. Is c a composite number?
True
Let w(p) = 235*p**2 - 4*p + 7. Is w(-2) a composite number?
True
Let j = 51 + -56. Is (-47085)/(-25) - (18/j - -4) composite?
True
Let b(h) = 38*h**2 - 28*h + 787. Is b(27) a composite number?
False
Suppose 16*y + 906844 = 52*y + 56*y. Let f be ((-1994)/3)/((-2)/6). Suppose -7*o + f = -y. Is o prime?
True
Suppose -4*x + n + 188305 = -343829, -5*x = -2*n - 665169. Is x prime?
True
Let j(c) = -554*c + 220. Let h be j(-6). Suppose 9*w - h = 8705. Is w composite?
False
Suppose 0 = -2*k - 5*y + 2099891, -5*y + 1049938 = 4*k - 3*k. Is k composite?
False
Suppose q + 4*c - 453 = 0, 2*c + 2 = -0. Suppose 3*o - 2*o + 3*d = -q, -2313 = 5*o + d. Let l = -126 - o. Is l a composite number?
False
Suppose -16 = -x + 4*k, 4*k = -19 + 3. Suppose x*r = -3*r + 6. Suppose -2*y = 0, 5*y = -d - r*d + 2337. Is d a composite number?
True
Let l be (4 - (-5 - -14)) + 51169. Suppose 97*i + l = 101*i. Suppose 5*k + 4*s - 17396 = -1381, s + i = 4*k. Is k prime?
False
Let h(x) = -12*x**3 + 2*x**2 - 2*x + 11. Let k be h(-16). Suppose -16*u + 24005 = -k. Is u a composite number?
True
Let t = 590928 + -226939. Is t a prime number?
True
Let q be -6*(21/14 + (-1560)/1). Let s = q - 5554. Is s a composite number?
False
Let i(s) = -2872*s + 11. Let p be i(-1). Let v = -1418 + p. Is v prime?
False
Suppose 0*m + 4 = -4*m - 4*x, -4*x = m + 10. Let q = -45 + 819. Suppose 5*w = 5, -4*c + 0*w + q = -m*w. Is c composite?
True
Let w(r) = 1104*r**2 - 13*r - 21. Is w(-6) a prime number?
False
Let o be (1 + -3790 + 2)*7/(-7). Suppose -7*c + 3*c = -5*x - o, -5*x + c = 3778. Let y = -448 - x. Is y composite?
False
Suppose -60 = -2*x - o, -4 + 0 = o. Let c = -28 + x. Suppose -c*w + 2980 = 3*l, -w + 1124 = -4*l + 379. Is w a prime number?
False
Let y(x) = -2*x**3 - 8*x**2 + 10*x + 5. Suppose -5*l = -1 + 26. Let q be y(l). Is -1*199*(q + -6) composite?
False
Let g be 2011/(-8) + 99/264. Is 21/7 - g/1 composite?
True
Let v = 8743 + 7652. Suppose -h + u = -1207 - 2072, 5*h - u = v. Is h composite?
True
Let p(g) = -2*g**2 + 16*g + 21. Let h(y) = y**2 - 8*y - 10. Let f(z) = 5*h(z) + 2*p(z). Let o be f(5). Let q = o - -164. Is q a prime number?
False
Let n(u) = -2*u**3 - u**2 - 5*u**3 + 3*u**3 - 2 + 8*u**3 + 3*u. Let i be n(1). Is 10/i*(-3678)/(-15) prime?
True
Suppose 576*p - 591*p = -8075355. Is p a prime number?
True
Let k be 0/(-6) + (1 - -28003). Is 20/4*k/20 prime?
True
Suppose -3*s + 18 = -0*s + 4*w, 5*s - 3*w - 1 = 0. Suppose k + 4*k - s*u = 379, -12 = -4*u. Let y = -40 + k. Is y a prime number?
True
Is (1018/5)/((6 - -4)*5/65375) a composite number?
True
Let i be (-26)/52*(-1 - -1). Suppose 92*n - 82*n - 11390 = i. Is n a prime number?
False
Suppose -3*p - 120743 = 34*b - 39*b, -4*p - 24135 = -b. Is b a prime number?
True
Suppose 2*i - 34693 = -5*o, 2*i - 2*o - 582 = 34132. Is i prime?
False
Let r(l) be the third derivative of l**5/10 - 7*l**4/24 - 7*l**3/2 + l**2. Let y = 2866 - 2856. Is r(y) prime?
True
Suppose 828065 = 12*o + 1247509 - 4664336. Is o composite?
True
Let j(i) = 2678*i**3 - 32*i**2 + 153*i - 16. Is j(7) a prime number?
True
Is ((-83877)/15)/((-10)/50) composite?
True
Suppose 0 = 217*q - 215*q - 1230. Let l = q + -350. Is l a prime number?
False
Suppose -4*i - 12 = -2*f, -2*f + 2*i + 8 = -0. Suppose -g = -f*v + 10, -5*v + 20 + 3 = -3*g. Suppose -v*s + 942 + 3503 = 0. Is s prime?
False
Let v be (-2)/(3/7 + 116/(-140)). Suppose -v*s - h = -3*h, s - h = 0. Suppose -2*x - 3*d + 940 = 0, -x - 2*d + 0*d + 471 = s. Is x a composite number?
False
Suppose 71 - 143 = -18*c. Let s be 2 + 5 + 1 + -1. Suppose -2*w + 1058 = -3*d + s*d, -c*w = -d - 2080. Is w a composite number?
False
Let k(t) = 37*t**3 + 26*t**2 - 114*t + 5. Is k(4) a prime number?
True
Let p(h) = -5*h - 15. Let i(u) = -u. Let k(j) = 3*i(j) - p(j). Let z be k(-14). Let v(a) = 2*a**2 + 17*a - 11. Is v(z) prime?
False
Is 30/40*(-648996)/(-9) a composite number?
False
Suppose 2 = r + 1. Let y be ((-2)/(-12)*-970)/(r/(-60)). Is y/28 + 3/(-7) a composite number?
True
Is (7 + 1087066/76)*47*2 composite?
True
Let l be (-121)/(-22)*(4 - -6). Suppose -897 = l*f - 58*f. Is f a composite number?
True
Suppose 4*m = m + 3*u, 12 = m + 3*u. Suppose 3*a + 113 + 652 = m*w, a - 749 = -3*w. Is w prime?
True
Suppose -50*k = -42*k - 182144. Let j = -7269 + k. Is j composite?
True
Is (84/6)/(-56)*-82444 prime?
True
Let h(v) = 114*v**2 - 22*v + 159. Let s = 278 + -270. Is h(s) a prime number?
False
Let r = -98 - -103. Suppose -3*x + 7564 = -2*t, -r*x = -4*t + 5*t - 12585. Is x prime?
False
Is -7 + 8 + 9 - -66247 a prime number?
False
Let x(c) = -6*c + 74. Let l be x(12). Suppose 337 = l*h - b - 1265, -h - b + 795 = 0. Is h prime?
False
Let f(w) = -w**3 + 3*w**2 + 14*w + 10. Let l be f(6). Let c = l - -181. Is c composite?
False
Let y be (-39080)/(-16) - ((-10)/(-4) - 2). Let v = y + -1433. Is v a prime number?
True
Let d(u) = -2917*u - 50. Let j(x) = x**3 - 4*x**2 + 8*x - 9. Let t be j(2). Is d(t) prime?
False
Let y(m) = -7*m + 79. Let v be y(11). Suppose 10*b - 6*b + 5*c - 29117 = 0, -v*b + 14569 = -c. Is b prime?
True
Let w(o) be the third derivative of 0 + 15*o**2 + 11/6*o**3 + 1/60*o**6 + 0*o + 7/24*o**4 - 1/5*o**5. Is w(8) a prime number?
False
Suppose 14*c = 16*c - 2932. Suppose 7*z - c = 1775. Let g = z + -302. Is g a prime number?
False
Suppose 0 = 319*a - 316*a - 6, -2*y - 3*a = -9754. Is y a prime number?
False
Suppose 0 = 199*o - 194*o + 35. Let i(p) = -2*p**3 - 10*p**2 + 5*p + 16. Is i(o) prime?
False
Let u(w) = 544*w**3 - 11*w**2 + 46*w - 16. Is u(5) composite?
False
Let m = 99 - 78. Let j = 23 - m. Suppose -j*g = 6*z - 7*z - 328, 0 = 3*g - z - 491. Is g a prime number?
True
Let m(s) = 557*s**2 + 10*s - 5. Suppose -w + 4 = -3. Is m(w) a prime number?
False
Let t = -146029 - -312320. Is t a prime number?
False
Let p be 1/1 + (-10 + 9)*-4. Suppose -p*g - 12*g = -39491. Is g composite?
True
Let c(q) = -14 + 38 - 13 - 5*q - 13. Let h be c(-1). Suppose -h*s + 0 = -6, 0 = -4*j + s + 1574. Is j composite?
True
Let f(v) = -38 + v**3 + 4*v + 5 - 23*v**2 + 86. Is f(23) a composite number?
True
Suppose 0 = 2*y - 4*m - 86582, -2*y + m + 6961 = -79621. Is y a prime number?
True
Let b = -933 + 1554. Let u = b + -398. Is u a composite number?
False
Let y(k) = 8*k**2 - 5 + 2*k - 3*k**3 + 0*k**3 + 2*k**3 - k. Let s be y(8). Suppose -5*v = s*w - 0*w - 3943, 807 = v - 4*w. Is v a composite number?
True
Let x(s) = 161*s - 24. Let i be x(-1). Let l = i + 10702. Is l composite?
True
Let c = 55 + -52. Suppose p + c*p - 5*d - 27823 = 0, p + d - 6949 = 0. Suppose -2*b = 6*b - p. Is b a prime number?
False
Suppose 6*z - z = 5. Suppose -l + s + 0 = z, -5*s = l - 23. Suppose 0 = p + 3*q - 1363, -p - q + 1361 = l*q. Is p prime?
False
Suppose -5*z - 28*l + 26*l = -1689513, 5*z - 1689517 = -3*l. Is z prime?
True
Suppose -438882 = 77*b - 4875391. Is b composite?
True
Suppose 14*s = 8*s + 30. Suppose -2*g - 4*w - 559 = -3*g, s*w = 4*g - 2214. Is g a composite number?
True
Suppose -9*a + 5*p + 3067114 = -979834, 2*a = 4*p + 899342. Is a a composite number?
True
Suppose 5426 = x - 2042. Is
|
{
"pile_set_name": "DM Mathematics"
}
|
h(k) - x(k).
633*k**2 + 2*k - 3
Let r(c) = 10*c - 16045. Let d(l) = -13*l + 21404. Give -7*d(x) - 9*r(x).
x - 5423
Let l(j) = -3645*j. Let p(x) = 1232*x. What is 3*l(i) + 10*p(i)?
1385*i
Let b(y) = 96*y**3 - 72*y**2 - 72*y + 72. Suppose 0 = 64*u - 62*u - 144. Let x(r) = -r**3 + r**2 + r - 1. Give u*x(d) + b(d).
24*d**3
Let s(d) = -7*d**2 - 207*d + 92. Let n be s(-30). Let z(r) = -3*r**3 + 2*r**2 - 2*r + 2. Let a(m) = -14*m**3 + 11*m**2 - 11*m + 10. Determine n*a(w) - 11*z(w).
5*w**3 - 2
Let d(y) = -5*y**2 + 11*y. Suppose -3*n - 2*l = 2*l - 436, 0 = -4*l - 20. Let g = 146 - n. Let c(t) = -2*t**2 + 6*t. Calculate g*d(i) + 11*c(i).
8*i**2
Let l = -9 - -6. Let i(m) = 3*m**2 + 2*m + 9. Suppose -2*q + 8 = 0, 33 = 5*j + 3*q - 14. Let u(p) = p**2 + p + 4. Give j*u(r) + l*i(r).
-2*r**2 + r + 1
Let o(t) = -2413949*t**3 - 15248*t**2 - 22872*t - 7624. Let m(b) = 950*b**3 + 6*b**2 + 9*b + 3. Calculate -7624*m(i) - 3*o(i).
-953*i**3
Let g(y) = 159*y**2 + 4*y + 23. Let c(m) = -1591*m**2 - 41*m - 233. Determine 2*c(w) + 21*g(w).
157*w**2 + 2*w + 17
Let d(t) = -4*t**3 - 2*t**2 + 6*t - 5. Suppose r - 4*y = 25, -3*r + 5*y - 2446 + 2479 = 0. Let q(c) = c**3 - c**2 - c + 1. Determine r*d(j) + 5*q(j).
j**3 - 7*j**2 + j
Let b(x) = 9 - 8*x**2 - 3 - 2*x**2 + 1 + 92*x - 89*x. Let a(f) = f**2 - f - 1. Calculate 5*a(u) + b(u).
-5*u**2 - 2*u + 2
Let r(k) = 14*k - 6. Let b(t) = 9*t - 2 - 2 + 0*t. Let j(d) = d**3 + d**2 - 7*d. Let p be j(0). Suppose 0 = -3*g - p*g + 24. Give g*b(c) - 5*r(c).
2*c - 2
Let r(o) = -13993*o + 2. Let b(t) = 21024*t - 3. What is 5*b(l) + 7*r(l)?
7169*l - 1
Let v(s) = 1. Let m(i) = 5*i**2 + i - 3. Let x(g) = 51*g**2 + 8*g - 29. Let a(w) = 10*m(w) - x(w). Calculate -2*a(y) - 4*v(y).
2*y**2 - 4*y - 2
Let l(d) be the third derivative of -163*d**4/24 + 5*d**3/6 - 2*d**2 - 8639*d. Let t(j) = 5135*j - 158. What is 158*l(z) + 5*t(z)?
-79*z
Let i(w) = 2*w - 19. Let x(d) = 15*d + 36. Determine -14*i(z) - 6*x(z).
-118*z + 50
Let o(w) = 6*w**3 - 5*w**2 + w + 1. Let n(y) = -y**3 + y**2 + y. Let s be (-10)/6 - (-23)/(759/121). Calculate s*o(q) + 10*n(q).
2*q**3 + 12*q + 2
Suppose 3*n + 78 - 296 = b, 3*n = -4*b - 887. Let a(d) = -481*d**2 - 221*d. Let z(c) = -13*c**2 - 6*c. Calculate b*z(s) + 6*a(s).
-13*s**2
Let w(a) = 68*a - 50*a - 17*a + 0 + 1 + 0. Let n(j) = -34*j + 1. What is -n(v) + w(v)?
35*v
Let v(n) be the second derivative of -6*n**3 - 5*n**2/2 - 629*n. Let b(m) = 18*m + 2. Give 5*b(h) + 2*v(h).
18*h
Let r(w) = -50490*w + 3 - 4 + 50491*w. Let p(c) = -22*c - 7. What is 2*p(m) - 14*r(m)?
-58*m
Let a(b) = -5*b + 42. Let k be a(8). Let j(q) = -k*q**2 + q**2 + 3 + 9 + 0. Let o(s) = -3. Determine 2*j(n) + 9*o(n).
-2*n**2 - 3
Let w(b) = 14*b**3 - 53*b**2 + 6*b - 14. Let s(f) = -2*f**3 + f**2 - f. Give -6*s(t) - w(t).
-2*t**3 + 47*t**2 + 14
Let n(m) = 8*m**2. Suppose -42*t - 708 = -40*t. Let i = 349 + t. Let p(j) = 15*j**2. Calculate i*n(q) + 3*p(q).
5*q**2
Let l(a) = a**2 + 21. Let p(k) = -4*k**3 - 14*k**2 - 109. Let s(g) = 5*l(g) + p(g). Let o(d) = -2*d**3 - 4*d**2 - 2. Calculate 9*o(x) - 4*s(x).
-2*x**3 - 2
Let h(t) = -4*t**3 - 5. Let r be 220/(-1210) - (-328)/(-11). Let s(m) = -1. Give r*s(y) + 6*h(y).
-24*y**3
Let v(o) = -186*o + 2158. Let b(p) = 86*p - 1079. Calculate 13*b(c) + 6*v(c).
2*c - 1079
Let t(r) = -4*r**2 - 134*r - 8. Let n(x) = 6*x**2 + 270*x + 15. Determine 3*n(y) + 5*t(y).
-2*y**2 + 140*y + 5
Suppose 0 = 9*m - 4*m - 10. Let h(y) = -12*y**3 + 8 + 120*y - 11*y**m - 128*y - 3*y**3. Let j(o) = -5*o**3 - 4*o**2 - 3*o + 3. Determine -3*h(f) + 8*j(f).
5*f**3 + f**2
Let f(v) = 7*v - v - 3*v + 0 - v - 5. Let k(j) = -2*j + 6. Calculate 5*f(r) + 4*k(r).
2*r - 1
Let f(j) = 687. Let u(g) = 55. Let w(d) = -2*f(d) + 25*u(d). Let p(q) = -q**2 - q - 2. Calculate -p(y) - 4*w(y).
y**2 + y - 2
Let p(k) be the third derivative of -11*k**4/12 - k**3 - 20*k**2. Let w(a) = 441*a + 119. Determine -119*p(d) - 6*w(d).
-28*d
Let i(f) = -4*f**2 - f - 1. Let m(n) = 9*n + 20. Let c be m(-2). Let y(s) = -5*s**2 - 2*s - 1. Suppose 0 = -4*a - 2 - 10. What is a*i(v) + c*y(v)?
2*v**2 - v + 1
Let m(c) = -643*c - 35. Let f(q) = -124*q - 7. Give 11*f(w) - 2*m(w).
-78*w - 7
Let r(z) = -520*z - 320. Let j(l) = -104*l - 64. Let t(i) = -14*j(i) + 3*r(i). Let n(p) = 5*p + 3. Suppose 319 = -24*c + 247. Give c*t(f) - 64*n(f).
-8*f
Let r(i) = -10*i + 7. Let w be 8/6 - (-2336)/(-96) - -6. Let l(t) = -29*t + 20. Determine w*r(a) + 6*l(a).
-4*a + 1
Let w(d) = 32*d**2 + 10*d + 1. Let o(x) = 11*x**2 + 2*x - 1. Let r(g) = -3*o(g) + w(g). Let y(u) = u**2 - 5*u - 3. Give 4*r(l) + 5*y(l).
l**2 - 9*l + 1
Let a(h) = 34*h - 1. Let b(i) = -184*i + 44. Calculate -6*a(d) - b(d).
-20*d - 38
Let n(v) = 389*v**3 - 10*v**2 - 2*v - 46. Let j(f) = 258*f**3 - 7*f**2 - f - 32. Give 10*j(i) - 7*n(i).
-143*i**3 + 4*i + 2
Let l(w) be the third derivative of -w**4/24 + w**3/6 + 1622*w**2 + 2*w. Let g(f) = 265*f - 318. Determine -g(n) - 318*l(n).
53*n
Let l(f) be the second derivative of -7/4*f**4 - 15/2*f**2 - 2*f + 5/2*f**3 + 0. Let s(r) = 0 - 2858*r**2 - 2 + 2855*r**2 + 2*r. What is -2*l(u) + 15*s(u)?
-3*u**2
Let o(i) = i**3 + 3*i**2 + 2*i + 3. Let h(g) = g**2 - g - 1. Let n(t) = -h(t) + o(t). Let j(b) = 2*b**2 + 2*b + 4. Calculate -3*j(c) + 2*n(c).
2*c**3 - 2*c**2 - 4
Let z(i) = 9*i**2 + 20*i - 17. Let y(d) = -14*d**2 - 22*d + 17. Calculate -2*y(u) - 3*z(u).
u**2 - 16*u + 17
Let c(y) = 26*y - 5. Let w(f) = -24*f + 8. Determine -4*c(i) - 5*w(i).
16*i - 20
Let r(q) = -1 - 3 - 1 - 5*q. Let w be 3/(-21) - 704/(-616). Let v(g) = -g - 1. Calculate w*r(z) - 4*v(z).
-z - 1
Let f(x) = -20*x**2 + 21*x + 22. Let q(n) = 9*n**2 - 8*n - 9. Let i(s) = 3*f(s) + 7*q(s). Let u(z) = 2*z**2 + 6*z + 2. Let r = 3 - 7. Give r*i(b) + 5*u(b).
-2*b**2 + 2*b - 2
Let p(n) = 5*n**2 - 22*n - 560. Let t(z) = -7*z**2 + 30*z + 840. Determine 10*p(w) + 7*t(w).
w**2 - 10*w + 280
Let t(i) = i**3 + 6*i**2 + 7*i + 19. Let x be t(-7). Let g = 74 + x. Let h(u) = -u - 1. Let v(j) = -4*j - 3. Determine g*h(p) + v(p).
p + 2
Let y(l) = l**2 - l. Let m(k) be the first derivative of 4*k**3/3 - 7*k**2/2 + 3*k + 5906. Give m(o) - 2*y(o).
2*o**2 - 5*o + 3
Let q(c) = -6*c + 3*c + 3*c**2 + 3*c + 6*c + 0*c. Let t(d) = 2*d**2 + 5*d. Let a be 48/9 - (-4 - (-52)/12). What is a*t(m) - 4*q(m)?
-2*m**2 + m
Let a(v) = v. Let k(l) = -1 - 140*l + 51*l + 30*l + 30*l + 21*l**2 + 32*l. Determine 3*a(h) - k(h).
-21*h**2 + 1
Let c be (1*(-3)/72)/(33/(-99)). Let u(w) be the third derivative of -c*w**4 - 2/3*w**3 + 6*w**2 + 0*w + 0. Let x(h) = -h - 1. Calculate -2*u(p) + 7*x(p).
-p + 1
Let y(j) = 153*j**3 + 26*j. Let u(n) = -1073*n**3 - 180*n. Calculate 2*u(t) + 15*y(t).
149*t**3 + 30*t
Let d(j) = 15*j + 5. Let m(s) = -15*s - 4. Suppose 5*z - 3*a + 7*a - 49 = 0, -2*z - 3*a + 28 = 0. Give z*d(q) + 6*m(q).
-15*q + 1
Let y(u) = 376*u**3 - 8*u**2 + 2. Let h(f) = -192138*f**3 + 4092*f**2 - 1023. What is -4*h(w) - 2046*y(w)?
-744*w**3
Let y(h) = 2*h**2 - 6*h - 8. Let u(s) be the first derivative of -s**3/3 + 5*s**2/2 + 7*s - 4395. Calculate 6*u(i) + 5*y(i).
4*i**2 + 2
Suppose -77 = -4*a - 5*p + 10*p, -74 = -4*a + 2*p. Let u(n) = -a + n + 29 - 12. Let m(b) = 3. Give -m(v) + 2*u(v).
2*v - 5
Let i(r) = -736*r**3 - 161*r + 161. Let q(v) = -5 + 233*v + 22*v**3 - 466*v + v**3 + 238*v. Determine -5*i(a) - 161*q(a).
-23*a**3
Let q(i) = 6*i**2 + 2*i + 2. Let u(d) = 26*d**2 + 27*d - 1. Let s(a) = -12*a**2 - 12*a. Let f(l) = -7*s(l) - 3*u(l). Give 2*f(h) - 3*q(h).
-6*h**2
Let k(a) = 2*a**3 + 35*a**2 - a + 12. Let d(u) = -8*u**3 - 139*u**2 + 4*u - 51. Calculate -4*d(o) - 17*k(o).
-2*o**3 - 39*o**2 + o
Let d be ((-8)/((-160)/36))/(6/20). Let u(y) = -8*y**2 + 6*y. Suppose 6*c - 65 = c. Let i = c - 6. Let t(f) = 9*f**2 - 7*f. Calculate d*t(l) + i*u(l).
-2*l**2
Let f(l) = 2*l**2 + 3*l - 2. Let p(o) = 9*o**2 + 17*o - 13. Let d(h) = -6*f(h) + p(h). Let n(a) = a**2 + a - 1. What is -d(z) + n(z)?
4*z**2 + 2*z
Let v(j) = -8*j**3 + 13*j**2 - 13. Let w = -26 + 52. Let y(b) = 2*b**3 - 3*b**2 + 3. Let i(q) = -q**2 + 50*q - 330. Let l be i(8). Calculate l*v(m) + w*y(m).
4*m**3
Let s(i) = 0*i - 10 - 20*i + 2 + 23*i + 0. Let a(w) = -6*w + 16. Calculate -2*a(k) - 5*s(k).
-3*k + 8
Let w(n) = -2*n**3 - n**2 + 4*n + 4. Let m be (-4 + 8)/(-2)*(-7)/(-14). Let i be m*13/((-26)/8). Let s(j) = 5*j**3 + j**2 - 9*j -
|
{
"pile_set_name": "DM Mathematics"
}
|
-3
Let x = 5 - 5. Suppose -4*b - 3*n = 0, 3*n + x*n = 3*b. Sort 4, b, 3.
b, 3, 4
Suppose 4*l + y + 10 = l, 5*l = -4*y - 12. Put 32, 0, l, 4 in descending order.
32, 4, 0, l
Let r(q) = q - 19. Let u be r(17). Let s = -1 - 2. Sort u, s, -1.
s, u, -1
Let h = -15 + 13. Put h, -5, -1 in decreasing order.
-1, h, -5
Let l(g) = g + 5. Let y be l(-6). Sort 5, y, 7 in decreasing order.
7, 5, y
Suppose 30 = -4*k - 2*x, 2*k - 2*x = -0*k. Sort 3, k, 4 in decreasing order.
4, 3, k
Let p = 18 - 13. Suppose 3*o + p = -2*o - 2*x, 4*o + 2*x = -2. Let f be 78/18 - 2/o. Put 0, f, -4 in ascending order.
-4, 0, f
Suppose 0 = -5*u + 2*i + 3, -4*u = -4*i - 7 - 5. Let t be 0*(-2 + (-3)/(-2)). Sort t, 4, u in ascending order.
u, t, 4
Suppose 4 - 10 = -2*l. Put -0.2, l, -2/13 in decreasing order.
l, -2/13, -0.2
Suppose 3*m = 14 - 2. Suppose -m*b = 4, -3*o + 3*b = -2*b + 13. Let q(r) = -r - 5. Let k be q(o). Sort -2/7, 3, k in descending order.
3, k, -2/7
Let i = -1 - 1. Let c(o) = -o**3 + 4*o**2 + 6*o - 2. Let p be c(5). Sort i, 2, p in ascending order.
i, 2, p
Let v = 19 + -17. Sort 2/7, 2/19, v.
2/19, 2/7, v
Let a be (-2)/(-2)*(-3 - -3). Suppose -6*u + 2*u = 5*g + 2, 5*u - 2*g = 14. Put u, a, -4 in decreasing order.
u, a, -4
Suppose -2*h = 5*m + 5 + 11, 5*m = -20. Suppose -3*d - 25 = -8*d. Put 1, h, d in decreasing order.
d, h, 1
Let n be -4*(0 - 5)/(-5). Sort 0.5, 0, n in descending order.
0.5, 0, n
Let w be 1/(-4) - 34/(-8). Let g(f) = 67*f**2 - 63*f**2 - f + 3*f**3 - 4*f**3. Let b be g(w). Put 1, -1, b in decreasing order.
1, -1, b
Let l be 9/((-3)/1)*-2. Let d = 3 - l. Let g be 1/(-3) - 7/d. Sort -3, g, 3 in descending order.
3, g, -3
Let j(w) = -w**3 - 6*w**2 - 5*w + 5. Let y be j(-5). Suppose -y*q + 13 = -12. Suppose 18 = -5*d - l, 12 = -7*d + 2*d - 4*l. Put d, q, -3 in decreasing order.
q, -3, d
Suppose -24 = -2*j - 2*b, -2*b = j + 2*b - 21. Suppose 3*o = -j, 3*r + 3 = 3*o + 9. Sort r, -3, 5.
-3, r, 5
Let v be -5*(80/25)/(-4). Put 0.5, v, 0.04, -5 in increasing order.
-5, 0.04, 0.5, v
Let v = 2.836 + -0.036. Sort v, 0.3, 2/11 in decreasing order.
v, 0.3, 2/11
Let l be 2 + 5/(-2)*28/(-35). Sort -4, 3, -2, l in increasing order.
-4, -2, 3, l
Let q = 42/11 + -400/99. Sort -1/6, -0.1, q, 11 in ascending order.
q, -1/6, -0.1, 11
Let z = -4 - 5. Let o be (10/8)/(z/(-36)). Sort o, 1, -4 in decreasing order.
o, 1, -4
Let i = 5 + 7. Suppose 4*y + i + 32 = 4*o, 2*o = -5*y + 36. Let m = 8 - o. Sort m, 5, 2 in increasing order.
m, 2, 5
Let v(r) = r**3 - 6*r**2 - 5*r - 16. Let a be v(7). Let o be (-4)/(-10) - (-54)/15. Suppose 0 = 2*c - 3*c - 5. Put o, c, a in descending order.
o, a, c
Let l be (2/(-8))/(2/(-6)). Let u = 4.2 - 0.2. Suppose -j - 3*h = -6, -5*h = -0*j + j - 10. Sort j, u, l in decreasing order.
u, l, j
Suppose 2*b - 4*b - 77 = 3*v, -5*v - 137 = -b. Let m be 1/(-6)*v/(-18). Sort m, 5, 0 in ascending order.
m, 0, 5
Let c = 0 - 0. Let z = -0.4 + c. Let s = -0.3 + -1.7. Sort s, z, -3.
-3, s, z
Suppose 2*y + 5 = 11. Put 2, -13, y in decreasing order.
y, 2, -13
Let b = -98 + 298/3. Sort b, -1/5, 1/6 in decreasing order.
b, 1/6, -1/5
Let h(i) = i**2 - i - 4. Let m be h(-3). Suppose 0 = -3*y + m*y. Suppose y = 2*j + 3 + 5. Sort j, 1, 4 in descending order.
4, 1, j
Let s = -53/2 - -26. Sort s, 0, -1/13 in ascending order.
s, -1/13, 0
Let z = -12 + -2. Let q = 14.5 + z. Put 1, 0.1, q in ascending order.
0.1, q, 1
Suppose -65*k = -61*k + 20. Put k, -1/44, -0.4 in decreasing order.
-1/44, -0.4, k
Suppose -2*w - 2 + 12 = 0, -4*w + 34 = -d. Sort -2, -4, d, -3.
d, -4, -3, -2
Let r = -3/46 + -17/92. Sort -4, -2, r.
-4, -2, r
Let f be (3/4)/(6/10). Let g = -3.53 - -0.03. Let o = g + 3. Put f, o, 2 in descending order.
2, f, o
Let q(a) be the third derivative of 7*a**5/20 + a**4/12 + a**3/2 - a**2. Let d be q(3). Let w be (-3)/d - 4/(-22). Put 3/2, w, -0.5 in descending order.
3/2, w, -0.5
Let i be (8 - 12)/(-1*(1 + 0)). Suppose 8*a = 3*a - k + 5, -3*a = 2*k - 10. Let n = 1 - a. Sort n, i, -5 in decreasing order.
i, n, -5
Suppose -b = y - 5 + 2, 19 = -3*y + 4*b. Let r = -11 + 19. Let g = r + -12. Put g, y, 0.5 in ascending order.
g, y, 0.5
Let z = 653 + -3266/5. Let b(u) = -3*u + 1. Let c be b(-2). Suppose 2*q = -1 - c. Sort q, z, 3.
q, z, 3
Let h(x) = -x + x**2 - 3 + 3 - 2*x**2. Let m be h(1). Suppose 4 = 5*t - u, 2*t - u - 4*u + 3 = 0. Sort t, m, 0.
m, 0, t
Let f = -61 - -58. Put -1.6, 0, f in descending order.
0, -1.6, f
Let q = -151 + 1961/13. Put 0.1, 3, q in descending order.
3, 0.1, q
Suppose 2 + 6 = -2*c. Let g be 2/c*(1 - 1). Sort g, 0.2, -2/15.
-2/15, g, 0.2
Suppose 0 = 4*k + 3*t - 11, -2*t - t = -4*k + 5. Sort 3, 4, 5, k in ascending order.
k, 3, 4, 5
Suppose -v - 2 = -1. Put 5, 3, v in decreasing order.
5, 3, v
Suppose 0 = -4*b - 4*m + 36, -b - 2*m + 30 = 2*b. Let q be ((-6)/b)/((-18)/8). Sort 0.5, -3, q in decreasing order.
0.5, q, -3
Suppose -2*z = -3*o - 8, 3*o + 5*z = 2*z - 3. Put 1, -7, o in ascending order.
-7, o, 1
Let m(h) = 2*h**2 + 3*h - 10. Let q be m(2). Put q, 9, -3 in ascending order.
-3, q, 9
Let c = -2.1 - -5.1. Sort 2/7, -2, c in decreasing order.
c, 2/7, -2
Let c = -5 + 4. Let w be (0 + 1)/(c/3). Sort w, -1, -5.
-5, w, -1
Let z = -18.8 - -21. Let k = -2.7 - z. Let l = k - -0.9. Sort l, 1, -0.3 in descending order.
1, -0.3, l
Let b = 83/45 + -13/9. Put -3, b, -4/3, -4/5 in decreasing order.
b, -4/5, -4/3, -3
Let p(j) = 3*j**3 - 3*j**2 + 2*j - 1. Let v(b) = -b**3 - b + 1. Let t(s) = -p(s) - 2*v(s). Let r be t(3). Sort r, 4, 3 in descending order.
4, 3, r
Suppose 2*c + 12 = 14. Put -2, 2, c, -4 in descending order.
2, c, -2, -4
Let c = 2 - 0. Suppose -g - c*g + 17 = 4*o, -4*g = -4*o + 24. Suppose -3*h - 2 - 7 = 0. Sort g, h, 4 in decreasing order.
4, g, h
Let t = -20 - -12. Let d = 0 - t. Sort 0.4, d, 3 in descending order.
d, 3, 0.4
Suppose -4*m - d = -7, -3*m - d - 3*d = -2. Suppose 8 = -m*b + 2*t, 5*b = 4*t - 8 - 15. Let l be (-1 - b/2)*2. Put -0.3, l, -4 in decreasing order.
l, -0.3, -4
Let c(b) = -2*b**2 - 5*b - 5. Let l be c(-3). Let a be (l/10)/(176/(-40)). Put a, 3, -1/7 in ascending order.
-1/7, a, 3
Suppose -3*r + 1 = -3*h + 37, 2*h + 5*r = 17. Let a be 4/(-2) + 16/h. Put a, -3, -2 in ascending order.
-3, -2, a
Suppose -30 = -3*h - 0*h. Suppose -h = -6*z + z. Suppose -y + 3*f - 8*f = 17, z = 5*y - 4*f. Sort y, -1, -3 in ascending order.
-3, y, -1
Let k be (-12)/(-54) - 32/(-18). Let d be (6/(-3))/(2/(-4)). Sort 1, k, d.
1, k, d
Let q = -3 + 13. Let y = q + -6. Let x(u) = -u**3 - u**2 + u. Let l be x(1). Sort l, 5, y in descending order.
5, y, l
Let z be (-57)/90 + 2/4. Let k = 0 - 2/9. Sort z, 2/7, k in descending order.
2/7, z, k
Let q(o) = -o**2 + 14*o - 47. Let c be q(8). Sort -5, 4, -11, c in decreasing order.
4, c, -5, -11
Let a = 11 - 7. Let t = 5.7 - 6. Let u = t + 0.4. Sort a, u, 0 in decreasing order.
a, u, 0
Let o = 4 - 0. Suppose -2*t - 8 = -0*t. Let k = 3 + t. Sort o, -3, k in descending order.
o, k, -3
Let r = 25 + -74/3. Let l = 0.2 - 0.1. Let o = -0.1 - l. Sort o, 0.1, r.
o, 0.1, r
Let b(g) = -g**3 - 2*g**2 - 3*g - 1. Let i be b(-2). Let o be (-9)/(-3) - i/1. Sort -4, 4, o in increasing order.
-4, o, 4
Let u(j) = j**3 - 6*j**2 - 6*j - 8. Let k be u(7). Let x be k/6 - 21/(-54). Put -3, -2/5, x in increasing order.
-3, -2/5, x
Suppose -27 = -5*s - u, -s - 4*u = -3*s + 2. Let z(n) = n**3 + 9*n**2 - 9*n + 13. Let d be z(-10). Let w be (-2)/3*(d + 3). Put 1, s, w in increasing order.
w, 1, s
Suppose 4*q = -0*q + 8. Let v = 5 - q. Sort v, 2, 5.
2, v, 5
Suppose 2*b - 7*b - 15 = -5*z, 5*z = -4*b - 39. Let a be b/(-21) - (-32)/(-63). Let q be (1/5)/((-1)/(-1)). Sort q, 2/9, a in increasing order.
a, q, 2/9
Let v = 1 + -1.4. Let h = 5 - 7. Let s be (-1 + 3)*h/(-34). Sort s, -1, v in descending order.
s, v, -1
Let q = -68 - -61. Sort -1, 3, q, 2.
q, -1, 2, 3
Let z be (-30)/7 - 4/(-14). Let k = 2/169 + 503/338. Sort 0.5, z, k.
z, 0.5, k
Suppose -5*r - h = -0*r - 74, -2*r - 2*h + 28 = 0. Suppose u = r - 1. Let n = u + -9. Sort 1/2, n, 2/5 in decreasing order.
n, 1/2, 2/5
Let s be ((2/(-2))/1)/3. Let y(k) = k**3 + 10*k**2 + 10*k + 4. Suppose 0 = p - 2*p - i - 14, 0 = -2*i - 10. Let o be y(p). Sort o, s, 0.2 in ascending order.
o, s, 0.2
Suppose 0 = -4*b + 3*f - 5, 5*b = b - 2*f - 10. Let o be (-3)/b*90/27. Let d = -2 - -4. Sort o, 3,
|
{
"pile_set_name": "DM Mathematics"
}
|
**2) - 20 - 4*c**5 + 20 - 4*c**4 - 2*c**5 + 4*c**4.
-5*c**5
Expand (-3 + 4 + 1)*(0 + 0 + 2*o + (-2*o + 3*o + o)*(1 - 3 - 3) + (6*o + 17 - 17)*(-5 + 3 + 3)).
-4*o
Expand (-j**4 + 0*j + 0*j + 4*j)*(5 - 4 + 1).
-2*j**4 + 8*j
Expand (1 + 1 - 4)*(1 - 1 + o)*(-4331 + 4331 + 33*o**2).
-66*o**3
Expand (v - 2*v + 2*v)*(v + 2 - 2) + 0*v**2 + 2*v**2 - v**2 + (-3*v + v + 0*v)*(4*v - v - v).
-2*v**2
Expand (a - 2 + 0*a + 0)*(-4*a**2 + a**2 + a**2).
-2*a**3 + 4*a**2
Expand (4 - 2*g**2 - 4)*(g**3 + g**3 - 5*g**3 + (-3 + 4 + 0)*(-2*g**3 + g**3 - g**3) - 5*g**3 + 4*g**3 + 0*g**3 - g**3 - 2*g**3 + 0*g**3).
18*g**5
Expand (3 + 16*g - 3)*(-g**2 + 3*g**2 - g**2).
16*g**3
Expand (3*s - 3*s - s**3)*(4*s - 2*s**2 - 4*s) - 5*s**5 + 4*s**5 + 2*s**5 + (2*s - 1 + 1)*(3*s**4 + 3*s**3 - 3*s**3).
9*s**5
Expand (-6*t**2 + 0*t**2 + 4*t**2)*(2*t**2 + t**2 - t**2).
-4*t**4
Expand (-n**2 - 4*n + 5*n - n**2)*(-6*n**2 + 4*n**2 + 3*n**2)*(2*n - 3*n + 2*n).
-2*n**5 + n**4
Expand (-2*a**2 + 2*a**3 + 2*a**2)*(5 - 8 + 13).
20*a**3
Expand (-u**3 - 6*u**2 + 1 + 2*u**3 + 5*u**2)*(4*u**2 - 5*u**2 - u**2).
-2*u**5 + 2*u**4 - 2*u**2
Expand -4*k**5 + 2*k**5 + k**5 + 40 + 5*k**5 - 6*k**5 - 37 + (-2 + 2 + 2)*(-6*k**5 + 4*k**5 + k**5).
-4*k**5 + 3
Expand (g - g + 6*g)*(-1 + 0 - 1).
-12*g
Expand (2 + 1 - 5)*(4*l - 4*l - l) - 2*l + 2*l + 2*l.
4*l
Expand (-3*q**3 - 2*q**3 + 3*q**3)*(-3*q**2 + 2*q + 5*q**2 + 1 + 11*q).
-4*q**5 - 26*q**4 - 2*q**3
Expand (-4*j + 14*j**4 + 6*j - j)*(14*j - 3*j - j).
140*j**5 + 10*j**2
Expand (-3*a + 0*a - 3*a)*(-2*a**2 - a**2 + 0*a**2).
18*a**3
Expand (2 - 1 + 2)*(0 - 3 + 5)*(-g - 5*g + 8*g).
12*g
Expand ((-3 + 5 - 1)*(1 - 1 - h) - h + 0*h + 3*h)*(-20 - 10 + 3).
-27*h
Expand (2*x**2 - 2*x**2 + x**3)*(x - 3*x + x) + 0*x**4 + 2*x**4 + 0*x**4 - 3*x**4 + 2*x**4 - x**4.
-x**4
Expand (3*o**2 + 7*o**2 - 2*o**2)*(3*o - 5*o + o) - o**2 + o**2 - o**3.
-9*o**3
Expand (0*h**2 + 0*h**2 + h**2)*(h + h + 2*h)*(-4 + 2 + 0).
-8*h**3
Expand (7*j - j + 0*j + 2 - 2 + 2*j + (0 + 0 - 2)*(4*j - 3*j - 2*j) + 6*j - 4*j - 3*j + 0*j + 2*j - j)*(-4*j**4 + 2*j**4 + 4*j**4).
20*j**5
Expand (-1 + 0 + 2)*(-21*f - 21*f + 4*f)*(1 + 0 - 4).
114*f
Expand (j - 3*j + 2 + j)*(10*j + 0*j - 6*j).
-4*j**2 + 8*j
Expand (1 + m - 1 + (-m - 3*m + 3*m)*(1 + 3 - 2))*(0*m**2 + 2*m**2 - 4*m**2)*(-3 - 29 + 13).
-38*m**3
Expand ((-l + 5*l - 5*l)*(2 - 4 + 0) + (-2*l + 2*l + 2*l)*(22 - 76 - 9))*(-l**4 + 0*l**2 + 0*l**2).
124*l**5
Expand -2*t**4 - t**3 + t**3 - 5*t**2 + 5*t**2 - 2*t**4 - 4*t**4 - 2*t**2 + 2*t**2 + (t - t - t**3)*(2 - t - 2).
-7*t**4
Expand (-2*i + 3*i - 3*i)*(1 + 1 - 3) + i - 3 + 3 - 5*i + i + 0*i.
-i
Expand (-3*h + 5*h - 4*h)*(-1 + 1 + 1) + 4*h - 3*h + 0*h + (0*h - 5*h + 2*h)*(2 + 0 - 4).
5*h
Expand (2*n - 2*n - n**2)*(8 - 14 - 3)*(-3 + 0 + 1).
-18*n**2
Expand (-a**4 - a**4 + a**4)*(-4*a - a - a).
6*a**5
Expand (1 - 1 + 2*n)*(-5 - 15*n + 0 + 6).
-30*n**2 + 2*n
Expand (-12*k**2 - 33*k**2 + 3*k**2)*(0 + 0 + k).
-42*k**3
Expand (-c - 1 + 1)*(16 - 10 - 15).
9*c
Expand (6 + 5 - 2)*(t - 3 + 3 + 2*t**4).
18*t**4 + 9*t
Expand (4 + 2 + 1)*(-s**2 - 4*s**2 + 3*s**2) - 8*s**2 - 52 + 52.
-22*s**2
Expand (2*a - a + 2 - 5)*(3*a - 2*a + 4*a).
5*a**2 - 15*a
Expand -j**2 + 5*j**5 + j**2 + 0*j**5 + j**5 - 3*j**5 + (-4*j - j + 3*j)*(-2*j**4 + 0*j**4 + 3*j**4).
j**5
Expand l**3 - l**3 - 4*l**3 + l**4 + (4*l + 2*l**2 - 4*l)*(6*l**2 - 3*l**2 - l**2).
5*l**4 - 4*l**3
Expand -h + h + 2*h**5 - 2 + (-1 + 0 + 3)*(0*h**5 - h**5 - h**5) - h**5 + 4*h**2 - 4*h**2.
-3*h**5 - 2
Expand (-4*v + v + v)*(-v + v - v**2) - 5*v**3 + 2*v**3 + 2*v**3 + 0*v**3 + 0*v**3 + 2*v**3 - 2*v**2 - 2*v**3 + 2*v**2 + 0*v + v**3 - v - 3*v**3.
-v**3 - v
Expand (-3 + 10 + 17)*(2*a**3 + 0*a**3 + 2*a**3).
96*a**3
Expand ((1 + 3 - 2)*(-4*n + 5*n - 6*n) + n + 0*n + n)*(4*n**3 - 5*n**3 - n**3).
16*n**4
Expand (-3*t + t - t)*(-6*t**3 + 80*t**2 - 80*t**2) + 1 - 2*t**4 - 1.
16*t**4
Expand (45 + 8 + 4)*(2*b + 4*b - 4*b) + (0 - 3 + 1)*(0 + 0 + b) - 5*b - b + 4*b + 4*b - 3*b + 0*b.
111*b
Expand 0*x + x + x + (-3 + 1 + 1)*(3 - 10 - 1)*(5 - x - 5).
-6*x
Expand (2 - 1 - 3)*(3*n - 2*n + n) + 3 - 1 + 28*n - 33*n.
-9*n + 2
Expand -f**3 + f**3 + f**5 + (-3*f**4 + f**4 + 4*f**4)*(-2*f + f + 3*f) + f**5 - f**2 + f**2 + 6 - 2*f**5 - 47*f**4 + 29*f**4 - 7.
4*f**5 - 18*f**4 - 1
Expand (0 - 3 + 0)*(t**2 - 2*t**2 - 3*t**2) + (2 - 2 - 1)*(4*t**2 + 0*t**2 - 2*t**2).
10*t**2
Expand (5 - 2 + 0)*(-8*p + 10*p + 9*p)*(-p**2 - 2*p**2 - 4*p**2).
-231*p**3
Expand (2 - 2 + o)*(-8 - o**2 + 8) + (4 + 2*o - 4)*(-2*o**2 - o**2 + 2*o**2).
-3*o**3
Expand ((v - 2 + 2)*(-v - 3*v + 3*v) + (v + 3*v - 2*v)*(-3*v + 3*v + 2*v))*(-3*v + 5*v + 4*v).
18*v**3
Expand (4*l - l - l)*(-1 + 3 - 3) - 3*l + 6 - 6 + 1 - l - 3*l + 6*l.
-3*l + 1
Expand (1 - 2 + 0)*(4*p**3 - p**3 + p**3) + (4*p - 5*p + 2*p)*(0 + 0 + p**2).
-3*p**3
Expand (2 + 2*t**3 - 2)*(4*t**2 - 5 + 5).
8*t**5
Expand w**2 + w**5 - w**2 + (-29*w**5 - 58*w**5 + 25*w**5)*(-2 + 0 + 0).
125*w**5
Expand (3*j - 3 + 3)*(13*j + 0 + 0).
39*j**2
Expand (-2 + 1 - 4)*(3 - 3 - c**3) - 2*c**3 - 3*c**3 + c**3.
c**3
Expand (-3 + 3 - 4)*(-3 - 2*u**4 + 3) + 2*u**4 + 3*u**4 - 6*u**4.
7*u**4
Expand (-2*q**2 - q + q)*(0*q - 5*q + 3*q) + 2*q**3 - q**3 + q**3.
6*q**3
Expand (-3*o + 4*o - 3*o)*(-3 + 0 + 1 + (-2 - 2 + 5)*(-5 + 5 + 1)).
2*o
Expand (0*x - 4*x + 5*x)*(446 + 116 + 78 - 144).
496*x
Expand (0*f**2 - 5*f**2 - 3*f**2)*(0 + 0 - 1).
8*f**2
Expand (-3 + 3 + g)*(2*g - 2*g - 2*g + (-2 - 5*g + 2)*(-1 + 0 - 1))*(2 + g - 2).
8*g**3
Expand ((1 + 4 - 4)*(3 - 2 - 3) - 2 - 5 + 2)*(2*p + 2*p - 2*p).
-14*p
Expand x**2 - 4*x**2 - 4*x**2 + (10*x + x - 2*x)*(x - 3*x + 3*x).
2*x**2
Expand (-1 + 6 + 3)*(-3 + 3 - 2*j)*(-3 + 1 + 1).
16*j
Expand 4*y**4 + 5*y**4 - 7*y**4 + 29*y**3 + (5*y - 3*y + 0*y)*(-2*y**2 - 2*y**3 + 2*y**2) - 6*y**4 + 3*y**4 + 2*y**4 - 1 + 1 + 2*y**4 - 4 - y**4 + 4.
-2*y**4 + 29*y**3
Expand (4*k - 4*k + 5*k**2)*(0*k + 4*k - 2*k)*(k - 5*k + 3*k).
-10*k**4
Expand (-3*u + 0*u - u**3 + 2*u)*(0*u + u + 0*u).
-u**4 - u**2
Expand (-4 - 2*h + 4)*(h**3 - h**3 + 2*h**4) + (0*h - 4*h + 3*h)*(2*h**2 - 2*h**2 - h**4) + 0*h**5 - 3*h**5 - h**5 + 0*h**5 - 4*h**5 - h**5.
-12*h**5
Expand -2*s**3 - s**3 + 4*s**3 + s**3 - 1 + 1 + (0*s + 2*s + s)*(4*s**2 - 2*s**2 + 3*s**2).
17*s**3
Expand (-2*c + 2*c + 2*c**2)*(4 - 3 - c - 2*c)*(0*c + 0*c + 3*c).
-18*c**4 + 6*c**3
Expand -70*t**2 - 6*t**3 - 1 + 70*t**2 + (-1 - t**2 + 1)*(-t + 3*t - t).
-7*t**3 - 1
Expand (-6 + 3 + 2)*((-6 + 1 + 3)*(6*o - 3*o - 2*o) + 0*o - 4*o + 5*o) + 29 - 29 + 4*o.
5*o
Expand ((2 + 2 - 2)*(-5*g + 2*g + 2*g) - 3*g + 2*g - g - 4*g + 11*g + g)*(-1 - 1 + 0).
-8*g
Expand (-322 + 17*m + 322)*(m - m + m)*(-2*m - 2*m**2 + 2*m).
-34*m**4
Expand (-7*f**2 + 0*f**2 - 11*f**2 + (f**2 - 4*f**2 + f**2)*(-2 + 3 + 1))*(-1 + 1 + 2*f**3).
-44*f**5
Expand (0*i**2 - 2*i**2 + i**2)*(-3*i**2 + 3*i**2 - 2*i**2) + 3*i**4 - 2*i**4 + 4*i**4 - 4*i**4 + 3*i**4 + 0*i**4.
6*i**4
Expand (-2 + 3 + 0)*(3*p**2 - 4*p**2 + 2*p**2) + (-p + 0*p - p)*(3*p - 4*p - 4*p).
11*p**2
Expand 14*n**2 + 12*n**5 - 12*n**2 - 4*n**5 + (-2*n**3 - n**2 + n**2)*(0*n + 0*n - 2*n**2).
12*n**5 + 2*n**2
Expand (-3*y + 0*y - 2*y)*(7*y**3 - 4 - 5*y**3 + 3).
-10*y**4 + 5*y
Expand (-2*g**4 - g**4 + 2*g**4)*(-2*g + 4*g - 3*g) + 4*g**5 - g**5 - 7*g**5 + 3*g**4 + g**5 - 3*g**4.
-2*g**5
Expand 0*c**4 - 3*c**4 + 2*c**4 + 7*c**4 + 4*c**3 - 4*c**3 + (-3*c + 3*c - c**2)*(c**2 + 0*c**2 + 2*c**2).
3*c**4
Expand 2*o**2 + o**2 + 7*o**2 + (4*o - 2*o + 0*o)*(4 - 4 + o) - o + o - o**2.
11*o**2
Expand (-o + o**3 + o)*(0*o**2 + 5 - 1 - 2*o**2).
-2*o**5 + 4*o**3
Expand (2 + 3 - 2)*(0 + 3 - 1)*(4*d + 0*d - 3*d).
6*d
Expand (-4*a + a - 4*a)*((3 + 1 - 3)*(1 - 4 + 4) - 2 + 4 - 3 + 1 + 2 - 6).
21*a
Expand (-4 - 25 + 13)*(-5*o**5 + 3*o**5 + 4*o**5).
-32*o**5
Expand 7*c**3 - 3*c**3 + 0*c**3 + (-3*c - c + 2*c)*(-2*c**2 - 2*c**2 + 2*c**2).
8*c**3
Expand (b**3 - 5*b**3 + 1 + 3*b**3)*(3*b - 5*b + 3*b).
-b**4 + b
Expand (-4 + 8 + 3)*(-12*u**2 + 12*u**2 + 3*u**3).
21*u**3
Expand (1 + 1 + 1)*(2*v**2 - v**2 - 2*v**2) + 40*v + 1 + 4*v**2 - 40*v.
v**2 + 1
Expand (-1 + 1 - 2*h**2)*(91*h - 43*h + 8*h).
-112*h**3
Expand (0*v**4 + v**4 + 0*v**4)*(-6*v + 4*v + v) - 4*v**5 - 2*v**5 + 5*v**5 + (6*v - 6*v + 5*v**2)*(-4*v**3 + 3*v**3 + 3*v**3).
8*v**5
Expand (0*i**3 + 3*i**3 - i**3 + i)*(9 - 3*i - 9).
-6*i**4 - 3*i**2
Expand (1
|
{
"pile_set_name": "DM Mathematics"
}
|
/3)/((z/((z**0*z)/z))/(z**(-18)*z)) assuming z is positive.
z**(-146)
Simplify (q**(-15)/(q/(q/(q/q**(-5/6)))*q))/((q*q**(-7)*q*q)/((q/((q/(q*q**(13/4)/q))/q*q))/q)) assuming q is positive.
q**(-139/12)
Simplify (q**(1/7)/q)/(q/q**3)*q**(2/5)*q*q/((q**(-4/5)/q)/q) assuming q is positive.
q**(222/35)
Simplify (i**(-23)*(i/(i**3*i))/i*i)/(i**(4/7))**(-41) assuming i is positive.
i**(-18/7)
Simplify b**(2/39)/(b**13*b)*(b/(b*b**9/b*b))**(-19) assuming b is positive.
b**(6125/39)
Simplify (i*i/(i*(i**(1/11)/i)/i)*i*i)/(i/i**(2/19)*i*i*i)*(i**(-3/5))**(15/7) assuming i is positive.
i**(-397/1463)
Simplify (l*(l/(l/(l/l**(-12)*l))*l)/l)/(l*l*l*l**5/l*l)*l**(-4)*l*l**8 assuming l is positive.
l**12
Simplify ((w*w**(2/43))/(w*w**(1/3)))/(w**(-1/2)*w*w**2) assuming w is positive.
w**(-719/258)
Simplify (((a*a**(-2/13))/(a/a**(1/6)))/((a*a**(-8))/a*a**(-7)/a))**30 assuming a is positive.
a**(6245/13)
Simplify (q*(q/(q**(2/11)*q*q*q))/q*q*q*q**(4/7))/(q**3/(q*(q*q*q**0)/q)) assuming q is positive.
q**(-47/77)
Simplify (t**4*t**(3/2)*t/(t/((t/t**(-8))/t))*t**(-6/5))**20 assuming t is positive.
t**246
Simplify ((p**(-5/6)/p)**(8/13))**30 assuming p is positive.
p**(-440/13)
Simplify ((m*m**8*m)/m*m*((m**(3/8)*m*m)/m)/m*(m**(-5/6)/m)/m**(-11))**21 assuming m is positive.
m**(3283/8)
Simplify (x/x**7)**(-31)*(x**(-6))**(-1/31) assuming x is positive.
x**(5772/31)
Simplify ((s**(4/5)*s*s*s**5)/(s**3*s/(s**6*s)))**(-42) assuming s is positive.
s**(-2268/5)
Simplify b/b**(2/3)*(b**(2/5)/b)/b*b**(-3/2)*b/(b*b**(-3/4)) assuming b is positive.
b**(-121/60)
Simplify (p**17*p/(p*p*p*p*p**19))**(-30) assuming p is positive.
p**150
Simplify (o*o**(-1/19))/o*o**(1/3)*(o**(2/9)*o)**(-1/3) assuming o is positive.
o**(-65/513)
Simplify (w/w**(-10))/w**(-21)*(w*w/(w/(w/(w/(w/w**(-14))))*w)*w)/(w**(-14)/w) assuming w is positive.
w**63
Simplify (y*y/(y*y/(y*y**(-2/11)*y*y)))**(7/5)/((y**(-5)*y*y)/(y/(y*y/y**11))) assuming y is positive.
y**(932/55)
Simplify (r*(r/(r**10/r))/r)**(-42)/((r*r/(r*(r/(r/r**(-19)))/r))/((r/(r/(r*r**(-3/14))))/r)) assuming r is positive.
r**(4407/14)
Simplify (a**15/(((a**(1/4)*a)/a)/a))/(((a/(a/(a**(7/4)*a)))/a)/a*a*a*(a**(-4/9)*a)/a*a) assuming a is positive.
a**(112/9)
Simplify (q**(-2)/(q*q*(q*q**(1/10)*q)/q)*q**(3/2)*q**0)**26 assuming q is positive.
q**(-468/5)
Simplify (y**(-8))**(-16/7)*y**29*y/y**(-20/7) assuming y is positive.
y**(358/7)
Simplify (a**(5/2)/a*a)**(8/3)/(a*a**7*a/a**(-4)*a) assuming a is positive.
a**(-22/3)
Simplify (x**(-4)*x)**(-3/8)/(x/x**(-9)*x**(10/7)/x) assuming x is positive.
x**(-521/56)
Simplify (l**(-30)*l*l**41)**43 assuming l is positive.
l**516
Simplify (u**(-13)/u*u**18)/(u/u**(-1))**37 assuming u is positive.
u**(-70)
Simplify (((s/(s**(-2)*s))/s)**45*s*s**1*(s/s**7)/s)**(-16/9) assuming s is positive.
s**(-640/9)
Simplify ((a**(-5)/a*a)/(a**(-1/3)/a))/((a*a/a**2*a)/((a/(a**0/a))/a)) assuming a is positive.
a**(-11/3)
Simplify (q*q*q**(2/5)*q)**(-1/8)*q**12/(q**(2/31)*q) assuming q is positive.
q**(13033/1240)
Simplify q**17/q**(-6)*q**17*q*q/q**(-3/17) assuming q is positive.
q**(717/17)
Simplify ((b**2*b/(b/b**(-5)))/(b**(1/4)*(b*b/(b*b*(b/b**(-2/7)*b)/b)*b)/b))**(2/45) assuming b is positive.
b**(-11/126)
Simplify (k**13/k**(-13))/((k*k**4)/(k/(k*k**(-11/6)*k))) assuming k is positive.
k**(131/6)
Simplify (x**(2/5)*x**(-20))/(x/x**17*x**3/x) assuming x is positive.
x**(-28/5)
Simplify (k/k**(5/6))**(-1/76)/((k/k**(2/11)*k)/k*k**(2/37)*k) assuming k is positive.
k**(-347879/185592)
Simplify w**(-8)/((w/(w**(-21)/w)*w)/w)*w/(w**(-1/4)*w)*w**(-26)*w*w assuming w is positive.
w**(-219/4)
Simplify ((((l**(-2/3)/l*l)/l)**(-19/2))**(-23))**(13/4) assuming l is positive.
l**(-28405/24)
Simplify (((((i/((i/((i/i**6)/i))/i)*i)/i)/i)/(i/i**(3/8)))/((i*i**0*i)/(((i**(-1/13)/i)/i)/i)))**27 assuming i is positive.
i**(-32859/104)
Simplify (y/((y*y*y/(y**(2/11)*y*y))/y*y))**(1/34)/((y*y/((y/y**(2/7))/y)*y)/((((y/y**27)/y)/y)/y)) assuming y is positive.
y**(-42255/1309)
Simplify (f/(f*f*f*f/f**(-1)*f))**(-18)*f**(-2/7)/(f*f**(-7/5)/f*f) assuming f is positive.
f**(3154/35)
Simplify (j**(-1/7)/(j/(j/((j*j**(1/4)*j)/j)))*(j**(-1/4))**(5/3))**27 assuming j is positive.
j**(-342/7)
Simplify (((n/n**(1/2))/n*n*n)/n)/n**(-2/11)*(n*n**9/n*n)/(n**(-2/35)*n) assuming n is positive.
n**(7499/770)
Simplify ((((r*r**(-1))/r)/r*(r**4*r)/r)**(28/3))**(24/5) assuming r is positive.
r**(448/5)
Simplify (n/(n*(n*n**(6/7)*n)/n*n))/n**14*(n/(n/(n/(n/(n**(-3/7)*n)))))/(n*n**(-4/17)) assuming n is positive.
n**(-2029/119)
Simplify (((z*z*z*z/(z*z**(-3)))**(-6/31))**(-29))**(1/7) assuming z is positive.
z**(1044/217)
Simplify ((m/((m*m*m**(1/2))/m)*m)**(-8/3)*((m*m*m**(-2))/m)**46)**(-2/31) assuming m is positive.
m**(284/93)
Simplify n**(-2/3)/(n/(n*n*n*((n*n**(1/18))/n*n)/n))*(n*n**14)/n*n**20 assuming n is positive.
n**(637/18)
Simplify (u**(-4/7))**(-10/7)*(u*u**(-6/7)*u)**30 assuming u is positive.
u**(1720/49)
Simplify ((w**(2/7)*w*w**(5/2)/w)/(w**(-1/4)*w*w**(1/2)))**(-6) assuming w is positive.
w**(-129/14)
Simplify (h**10*h*h/h**(-4)*h*h**(-6)/h**(-5))**(-16) assuming h is positive.
h**(-256)
Simplify (f/f**(-1/11))/(f*f**(-20))*(f**1*f)/(f/f**(2/19)) assuming f is positive.
f**(4430/209)
Simplify (((((c*(c*c*c**(-7/2))/c)/c)/c*c)/c**(13/3))**(-1/75))**(-1/11) assuming c is positive.
c**(-41/4950)
Simplify (s/((((s*s*s*s/s**(-10))/s)/s)/s)*s**(-1/25)*s)**14 assuming s is positive.
s**(-3164/25)
Simplify m**(-9/2)*m*m*(m/(m/(m/(m/m**(-25)))))/m*m**(5/12)*m*m**7/m assuming m is positive.
m**(-253/12)
Simplify l**(-3/10)/l*l**9*l*l**0/l*l*(l/(l/(l/(l**(3/5)*l))))/l assuming l is positive.
l**(71/10)
Simplify (j**(-1))**(1/20)/(j*j/(j*j**(4/5))*j*j**(-7/4)) assuming j is positive.
sqrt(j)
Simplify (w/w**(-14))**(1/2)/((w*w**(14/5))/w)**(-13/4) assuming w is positive.
w**(83/5)
Simplify ((j/(j*j*j**0))**(-12)*(j/(j**(2/5)*j)*j)**17)**(-40) assuming j is positive.
j**(-888)
Simplify (u*u**(3/19))/u*u**(2/11)*u/(u/(u*(u/((u*u**(-4/13)*u)/u*u))/u))*u**(1/11)/u*u assuming u is positive.
u**(-711/2717)
Simplify (w**(-2)*w**(-6/13)*w)/(w*w/w**(-26)*w/(w/(w*w**(-2/17)))*w) assuming w is positive.
w**(-6927/221)
Simplify (x*x**(20/9))/x*x*x/(x/(x*x**(-27)*x))*(x**(-14))**(-10/11) assuming x is positive.
x**(-896/99)
Simplify ((s*s**(-2/17))/s**(2/55))/(s**(-19)*s*s**(1/4)) assuming s is positive.
s**(69549/3740)
Simplify ((v/(v*v**14))/((((v/(v/v**(-11/4)*v))/v)/v)/v*v))/(v**(-11)*v*v/(v**(1/20)*v)) assuming v is positive.
v**(9/5)
Simplify ((a*((a*a**(-34)/a*a)/a)/a)/a**(5/12))**(11/5) assuming a is positive.
a**(-4543/60)
Simplify (((o/(o/(o*o**(1/4)*o)))/o*o**(-4/5)*o*o)**(4/19))**(-37) assuming o is positive.
o**(-1813/95)
Simplify (z**(2/7))**(3/20)*(z**11/z*z)/z*z**(-8) assuming z is positive.
z**(143/70)
Simplify (l**(-12)/(l/(l**6/l)))/(l*l**(-4/13)*l**4) assuming l is positive.
l**(-165/13)
Simplify (u*u*u**18)**(-49)/((u**(-15)/u)/(u*(u*u**(-2/13)*u)/u*u)) assuming u is positive.
u**(-12495/13)
Simplify y*y**6*y*y**(-2)*y**(1/15)/y*y*y*y**(-3/5)*y assuming y is positive.
y**(112/15)
Simplify ((a*a**(3/34))/a*a/(a**7/a))/(a**(5/4)*a**(4/27)) assuming a is positive.
a**(-11585/1836)
Simplify ((c**(1/3))**(-38))**(-10/9) assuming c is positive.
c**(380/27)
Simplify ((x*x*x*x*x**(-22)*x)/x**18)/(x**4*x*x/x**12) assuming x is positive.
x**(-29)
Simplify ((g**(-1/8))**2)**(-3/4) assuming g is positive.
g**(3/16)
Simplify ((i/((i/i**(2/11))/i))/i)**(-2/57)*(i**(-1/21)/i)/(i/(i/(i/(i**(4/3)*i*i)*i))) assuming i is positive.
i**(1226/4389)
Simplify (m**(-5/2))**(2/137)*(m/((m**(9/11)/m)/m))/(m*m/(m*m/m**24)) assuming m is positive.
m**(-32935/1507)
Simplify n**(-8)/(n*n**(2/35))*(n*(n/(n*n*n**(-11)*n))/n*n)/n*n*n**(-2/5)*n*n assuming n is positive.
n**(89/35)
Simplify ((f*f**(2/7))**(-1)*((f*f**(-1/8)*f)/f)/f**(1/3))**(-7) assuming f is positive.
f**(125/24)
Simplify ((n**(-4)/n)/n)**(-1/21)*(n/(n**16*n))/((n*n/n**(2/19))/n) assuming n is positive.
n**(-2209/133)
Simplify (r*r/((r*r**(3/4))/r))**(-30)*(((r/(r/(r/(r*r/r**(-1/21)*r)*r*r*r)))/r)/r*r)/(r**(4/3)*r) assuming r is positive.
r**(-1675/42)
Simplify (l/((l*l*l*l**(-11)*l*l)/l))/l*l/(l/(l/l**(-2/9)))*(l/(l**(-3)/l))/l*l*l**(1/13)*l assuming l is positive.
l**(1673/117)
Simplify (i**(
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{
"pile_set_name": "DM Mathematics"
}
|
24 = -6*g. Let l(o) = 19*o**2 - g*o**2 - 11*o**2. Determine v(l(b)).
8*b**4
Let s(b) = -b**2. Let t(h) be the first derivative of -h**2 + 5. Determine t(s(z)).
2*z**2
Let n(b) = 54 + 52 + 2*b - 106. Let a(r) = 24*r. Determine a(n(d)).
48*d
Suppose -2*u + 5*u - 5*p = 29, 0 = p + 4. Let t(j) = -5*j + 5*j + j - u*j. Let l(c) = -2*c. Give l(t(m)).
4*m
Let i(p) be the second derivative of p**5/15 + 5*p**3/6 - p. Let o(u) be the second derivative of i(u). Let l(y) = -y**2. What is o(l(t))?
-8*t**2
Let f(v) be the first derivative of v**6/180 + v**3 + 3. Let i(b) be the third derivative of f(b). Let c(z) = -2*z + z + 2*z. Give i(c(l)).
2*l**2
Let w(s) = -68*s**2 + 2. Let z(f) = 2*f**2. What is z(w(x))?
9248*x**4 - 544*x**2 + 8
Let h(a) = a**2. Let p(i) be the first derivative of i**6/180 + i**3 - 8. Let f(t) be the third derivative of p(t). Calculate f(h(o)).
2*o**4
Let i(j) be the first derivative of j**6/360 - 2*j**3/3 + 4. Let a(c) be the third derivative of i(c). Let p(n) = n. Determine p(a(v)).
v**2
Let f(o) = 29 - 16 + 6*o - 13. Let w(b) = 2*b. Give w(f(t)).
12*t
Let o(v) = 830*v**2. Let p(u) = -4*u. Determine p(o(m)).
-3320*m**2
Let x(h) = -4*h**2. Let g(u) = -4*u + 4. Let q(d) = d**2 + 5*d - 5. Let s(l) = 5*g(l) + 4*q(l). Give s(x(i)).
64*i**4
Let i(g) = 14*g. Let y(o) = 25*o. Calculate y(i(b)).
350*b
Let g(p) be the first derivative of 2*p**3/3 - 1. Let h(a) be the first derivative of a**3/3 - 9. Calculate h(g(b)).
4*b**4
Let r be (-285)/(-5) - 1*-2. Let b(x) = -59 + r + x**2. Let v(q) = -2*q. Determine b(v(k)).
4*k**2
Let u(k) = 1. Let x(m) = 2*m**2 + 1. Let y(q) = -u(q) + x(q). Let d(a) be the first derivative of 4*a**3/3 + 2. Determine y(d(s)).
32*s**4
Let s(r) = -2*r. Let g(w) = 9*w - 78. Determine g(s(b)).
-18*b - 78
Let j(x) = -11*x + 8. Let b(z) = 7*z - 5. Let c(f) = -8*b(f) - 5*j(f). Let q(t) = -13*t**2 + t. Calculate q(c(g)).
-13*g**2 - g
Let z(r) = -r**2 + 925*r. Let u(w) = -2*w. Calculate z(u(s)).
-4*s**2 - 1850*s
Let r(x) = x**2 + 179*x. Let g(j) = -5*j**2. Determine r(g(f)).
25*f**4 - 895*f**2
Let t(p) = -2*p**2. Let q(x) = 2*x. What is q(t(w))?
-4*w**2
Let t(r) = r**2. Let h(k) = -119*k - 7*k**2 + 119*k. Determine h(t(y)).
-7*y**4
Let k(h) = h. Let b(c) = 273*c. Determine k(b(r)).
273*r
Let k(r) = -r. Let h(z) = -z - 3. Let i(w) = -w - 7. Let o(x) = -7*h(x) + 3*i(x). Calculate k(o(l)).
-4*l
Let a(g) be the first derivative of -2*g**2 + 1. Let w(h) = -8*h. What is a(w(y))?
32*y
Let f(r) = 2*r**2. Let h(k) = -13*k. Let a(o) = 18*o - 11*o - 19*o. Let n(u) = 3*a(u) - 2*h(u). What is n(f(i))?
-20*i**2
Let y(k) = 2*k. Let m(w) = 3*w. Let f(n) = 6*m(n) - 10*y(n). Let d(l) = 6*l. Calculate f(d(b)).
-12*b
Suppose 40 = 2*s - 3*c, 5*s + 4*c - 122 = -22. Let v be (-54)/(-10) - 8/s. Let j(d) = -v + 5 + 2*d**2. Let k(o) = -3*o. What is j(k(m))?
18*m**2
Let m(o) be the third derivative of -o**5/30 - 6*o**2. Let h(i) = -8*i**2. What is h(m(z))?
-32*z**4
Let i(m) = -3*m. Let q(s) = 2*s**2 - 24*s + 51. Determine i(q(o)).
-6*o**2 + 72*o - 153
Let a(n) be the third derivative of -n**4/6 + 3*n**2. Let t(p) be the first derivative of -2*p**3/3 + 1. What is a(t(l))?
8*l**2
Let q(u) be the first derivative of u**3/3 - 3. Let l(v) be the second derivative of -v**3/3 - v. What is q(l(b))?
4*b**2
Let y(u) = 12*u - 21*u + 10*u. Let v(f) = -3*f. Determine v(y(m)).
-3*m
Let i(a) = 2*a. Let b(z) be the first derivative of -z**4/12 + z**2 - 1. Let k(o) be the second derivative of b(o). Give k(i(y)).
-4*y
Let u = 7 + -5. Let b(k) = -k**2 - k**2 + 2*k**2 + k**u. Let n(j) be the second derivative of j**4/12 + 4*j. Calculate b(n(d)).
d**4
Let f(m) = 3*m**2. Let k(l) = 4*l - 3. Let r(s) = 1. Let j(y) = -2*k(y) - 6*r(y). Calculate f(j(q)).
192*q**2
Let k(n) = 3*n. Let u(q) = 5*q. Let h(x) be the first derivative of -x**2/2 + 5. Let m(f) = 3*h(f) + u(f). Calculate k(m(b)).
6*b
Let n(f) = 5*f + f - 7*f. Let z(g) = 5*g. Calculate n(z(j)).
-5*j
Let i(g) = g**2. Let k(z) = -4*z**2 + z**2 + 4*z**2. What is i(k(o))?
o**4
Let c(n) = n + 7. Let z(f) be the second derivative of -f**4/6 - f - 49. What is z(c(k))?
-2*k**2 - 28*k - 98
Let z(i) = i**3 - 9*i**2 + 7*i + 6. Let j be z(8). Let k be (1/j)/(1/(-4)). Let n(h) = 0*h + 0*h + 4*h**2 - 3*h**k. Let w(u) = 2*u**2. Calculate n(w(f)).
4*f**4
Let x(o) = -8*o - 4. Let n(i) = 9*i + 5. Let t(g) = -4*n(g) - 5*x(g). Let q(z) = -19*z**2. Calculate q(t(v)).
-304*v**2
Suppose 5*z - 14 - 1 = 0. Let n(m) = -m**2 + z - m**2 - 3. Let y(u) = u**2. Calculate y(n(h)).
4*h**4
Let t(d) = d. Let u(q) = 26*q**2 - 50*q**2 + 22*q**2. Determine t(u(b)).
-2*b**2
Let n(r) = 1009*r**2. Let c(j) = j**2. Give c(n(k)).
1018081*k**4
Let s = -14 + 14. Let k(w) be the second derivative of -1/6*w**4 + s + 0*w**2 + 0*w**3 - 2*w. Let d(v) = v**2. Determine k(d(n)).
-2*n**4
Let c(h) = 8*h. Let u(r) = r**2 - 32*r. Give u(c(t)).
64*t**2 - 256*t
Let j(l) = -20*l**2. Let o(t) = 115*t - 2. Determine j(o(v)).
-264500*v**2 + 9200*v - 80
Let j(r) = -5*r. Let z(i) be the third derivative of -i**7/2520 - i**4/12 + 3*i**2. Let y(n) be the second derivative of z(n). Give y(j(u)).
-25*u**2
Suppose -5*y = -5 - 10. Let u(b) = b**2 - 4*b. Let f(a) = 3*a. Let p(z) = y*u(z) + 4*f(z). Let q(o) = -4*o. Determine p(q(s)).
48*s**2
Let u(x) = -2*x - 4 - 3 - 1. Let k(p) = p + 5. Let h(z) = -8*k(z) - 5*u(z). Let i(w) = -3*w. Calculate i(h(f)).
-6*f
Let k(r) be the second derivative of 0*r**3 + 1/4*r**4 + 0 - 4*r + 0*r**2. Let h(w) = w**2. Determine h(k(b)).
9*b**4
Let j(g) be the second derivative of -5*g**3/3 + 15*g. Let l(o) = o**2. What is j(l(u))?
-10*u**2
Let x(o) = -135*o - 1. Let f(i) = i**2. Give f(x(g)).
18225*g**2 + 270*g + 1
Let x(l) = 4 + 0*l - 4 - 2*l. Let y(c) be the third derivative of -c**7/840 + c**4/12 - c**2. Let h(n) be the second derivative of y(n). Calculate x(h(k)).
6*k**2
Let p(i) = -2*i. Let u(q) be the first derivative of 21*q**3 - 50. Calculate u(p(s)).
252*s**2
Let v(q) = -9*q**2 - 5*q**2 - 8*q**2 + 26*q**2. Let j(n) = -6*n. Determine v(j(l)).
144*l**2
Let h(i) = 3 + 19*i**2 - 3 - 23*i**2. Let g(r) = r. Let l(w) = 4*w. Let x(a) = -2*g(a) + l(a). Give h(x(o)).
-16*o**2
Let t(h) = -18*h**2. Let d(x) = -67*x**2. Give t(d(o)).
-80802*o**4
Let c(a) = 5*a**2. Let h(s) = -2 - 5 + 4 + 4*s. Let p(f) = 5*f - 4. Let b(w) = -4*h(w) + 3*p(w). Calculate c(b(l)).
5*l**2
Let o(m) = 0*m + m - 4*m. Let d(h) = 5*h**2. Let g(c) = 27*c**2. Let w(i) = 21*d(i) - 4*g(i). What is o(w(x))?
9*x**2
Let a(z) = -7737*z. Let d(n) = -2*n. Determine a(d(q)).
15474*q
Suppose -q - 2*q + 21 = 0. Let n(m) = -7*m + q*m + 4*m**2. Let j(c) be the first derivative of -2*c**3/3 + 3. Determine n(j(o)).
16*o**4
Let g(i) be the third derivative of -i**5/30 + 6*i**2. Let t(p) = 20*p. Let k(v) = v. Let f(x) = -15*k(x) + t(x). What is g(f(j))?
-50*j**2
Let f(b) = -2*b. Let m(y) = -2*y + 16. Let p(r) = 3*r - 32. Let v(x) = 5*m(x) + 3*p(x). Calculate v(f(q)).
2*q - 16
Let d be ((-12)/15)/((-6)/15). Let j(f) = 7*f + 2*f**d - 7*f + 0*f**2. Let x(b) = 20*b. What is x(j(c))?
40*c**2
Let z = -10 - -10. Let l(r) be the third derivative of 0*r**3 + 0 + 0*r**4 + z*r - 2*r**2 + 1/30*r**5. Let u(f) = 3*f. What is u(l(j))?
6*j**2
Let v(o) = -o. Let s(z) = 44 + 49 - 3*z - 83. What is v(s(k))?
3*k - 10
Let x(s) = 76*s - 76*s + 7*s**2. Let y(r) = r**2. Determine x(y(b)).
7*b**4
Let y be (2/4)/((-1)/(-6)). Let a(t) = 3*t + 0*t + y*t. Let j(h) = -9*h - 7. Let l(p) = -4*p - 3. Let b(r) = 3*j(r) - 7*l(r). Determine b(a(o)).
6*o
Let y(h) = h. Let x(s) = -136*s - 4. What is x(y(l))?
-136*l - 4
Let c(v) be the first derivative of -v**2 - 2. Let n(w) = w**2 - 4*w - 4. Let g(r) = r**2 - 3*r - 3. Let a(l) = -4*g(l) + 3*n(l). Calculate c(a(m)).
2*m**2
Let a(x) = -x + 3*x - x. Let i(f) = 10*f**2 + 7*f**2 - 13*f**2. Determine a(i(k)).
4*k**2
Let f(l) = -2*l. Let c(m) = -91*m**2. Determine c(f(v)).
-364*v**2
Let y(k) = -2. Let m(g) = 23*g - 230. Let z(s) = -m(s) + 115*y(s). Let v(p) = 2*p**2. Give v(z(f)).
1058*f**2
Let f(i) = -i. Let r(n) = 17*n. Determine r(f(h)).
-17*h
Let l(b) = -13*b - 13*b + 9*b. Let t(u) = u. Give l(t(g)).
-17*g
Let u(w) = -6*w. Let h(z) = 3*z - 2. Let b(t) = 25*t - 17. Let v(f) = 6*b(f) - 51*h(f). Determine v(u(r)).
18*r
Let d(h) be the second derivative of -h**3/3 - 2*h. Let f(m) be the first derivative
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{
"pile_set_name": "DM Mathematics"
}
|
g = -s for g.
1
Let c = -291 - -291. Solve c = 5*o - 4*o + 2 for o.
-2
Let w be ((-12)/4*2)/2. Let v(s) be the first derivative of s**3/3 + 3*s**2/2 + s - 1. Let l be v(w). Solve -3 = -d + l for d.
4
Suppose 3*p + 3*q = 2*p - 3, 4*q = -5*p + 7. Suppose -j - 2*s + 1 = -7, s - 4 = p*j. Suppose j*d - 5*d + 25 = 0, 5*d = -r + 25. Solve -3*w + 4 - 7 = r for w.
-1
Let l be ((-9)/5)/(42/(-70)). Solve -t + l*t - 2 = 0 for t.
1
Suppose 3*m + 11 = 2*c, 106*c - 107*c + 5*m = -16. Solve 4*x = c + 3 for x.
1
Suppose 0 = -7*j + 24 - 10. Let n(p) = -p**2 - 5*p + 3. Let x be n(-5). Solve 11 - x = -j*v for v.
-4
Let c(q) = q**3 - 7*q**2 + 7*q - 3. Let j be c(6). Suppose j*w + 26 - 32 = 0. Solve h - w = 3*h for h.
-1
Let d(p) = -3*p**2 + 40*p - 13. Let z be d(13). Solve -3*i + 5*i + 2 = z for i.
-1
Let u(r) = -r**2 - 8*r + 4. Let n be u(-8). Let z = 1 + n. Solve 4 = z*m - 3*m for m.
2
Let v = -17 + 16. Let g be -3 - (v - (0 + 1) - 4). Solve -g*b - b + 16 = 0 for b.
4
Let k = 34 + -28. Suppose 4*y + k = 22. Solve -m = y*m - 15 for m.
3
Let l be (2 - -1) + (0 - (-9)/(-3)). Suppose -4*v - 3*m + 27 = 0, 5*m = -l*v + 5*v - 25. Solve -6*q - v = -3*q for q.
-2
Suppose 21 - 76 = -5*i. Solve 2*l = i - 15 for l.
-2
Let m be 6 + 11/(11/60). Solve -16 = 70*c - m*c for c.
-4
Let f(m) = m**2 + 45*m + 146. Let i be f(-42). Solve -9*z = z + i for z.
-2
Let q = 1534 + -1532. Solve j + q*j = 15 for j.
5
Suppose 3*k - 3*y + 15 = 0, -4*y - 2 + 16 = 2*k. Let v(o) = 13*o**2 + 2*o + 1. Let p be v(k). Solve -5*t = -p - 8 for t.
4
Let w(a) = 2*a**2 + 3*a - 9. Let s be w(-4). Let z be 222/s + (-14)/77. Solve 2*i = -2*i - z for i.
-5
Let q = 55 - 49. Let d(s) = -s + 12. Let g be d(7). Suppose -g = -n - 1. Solve q*i - 2*i = n for i.
1
Let i(c) = -3*c - 7. Let x(k) = -2*k - 8. Let t(s) = 3*i(s) - 4*x(s). Let q be t(8). Solve 2*w - q*w = -4 for w.
4
Let t(c) = 2*c + 17. Let r be t(-15). Let o(v) = -v - 13. Let g be o(r). Solve g = -f + 1 for f.
1
Suppose 0 = 3*i - 63 + 15. Suppose 10 = 3*y + k - 2, 4*y - i = -2*k. Solve -j - y = 3*j for j.
-1
Let v be (-6)/(-8) - (9 - (-135)/(-12)). Solve 8 - 5 = -v*n for n.
-1
Let i be -28*(-1 - 9/(-12)). Suppose -i*h = -2*h + 4*o + 20, -3*o = h + 15. Solve -b - 6 + 3 = h for b.
-3
Suppose 4*t - 8*t - 92 = 0. Let k = 24 + t. Solve -2*i = -i + k for i.
-1
Suppose -4*f + 329 + 39 = 0. Let d = -90 + f. Solve 7 = d*h + 1 for h.
3
Let n(h) be the third derivative of -h**5/60 - 11*h**4/24 - 4*h**3/3 - 3*h**2. Let a be n(-10). Solve 0 = -0*z - a*z - 10 for z.
-5
Let o(a) = -a**3 - 54*a**2 + 10. Let u be o(-54). Solve -13*c - u = -8*c for c.
-2
Let k(a) = a**2 - 14*a + 3. Let y be k(14). Suppose -2*l - m = -2, y*m + 27 = -l + 6*l. Solve -8 = -l*h + 4 for h.
4
Suppose -5*u = -12*u + 294. Suppose -u = 16*b - 23*b. Solve 0*t - 2*t - b = 0 for t.
-3
Let t(d) = 3*d**3 - 4*d**2 + 2*d + 4. Let f be t(2). Let q = f - 16. Solve a + 0*a = q for a.
0
Let i = 53 + -51. Suppose i*g + 0*g = -0*g. Solve -2*d - 8 + 4 = g for d.
-2
Let g = 5 - 4. Let b(n) = -n**3 + 4*n**2 - 3*n. Let s be b(3). Solve s = -2*r + r - g for r.
-1
Let m = 24 + -34. Let k be (-1)/(-1) + m/(-5). Solve -k*q + 6 = -q for q.
3
Suppose -3*k + 2*x = 5, 5*x - 3 = 4*k + 6. Let w be 15/(-10)*(k + -19). Let h = -27 + w. Solve -6*z + 5*z = -h for z.
3
Let s(v) = v**2 + v. Let x be s(2). Let p = -61 + 61. Suppose -r + p*r = -18. Solve x = 3*h + r for h.
-4
Let j(p) be the first derivative of p**4/4 + 2*p**3 - 9*p**2/2 - 13*p + 2. Let s be j(-7). Solve -14 = 3*a + s for a.
-5
Suppose 1300 = 65*i - 13*i. Solve 6*r + 37 - i = 0 for r.
-2
Let y(i) = 7*i + 3. Let b be y(1). Let q be (-132)/(-20) - (-4)/b. Solve -19 = -3*n - q for n.
4
Suppose -2*u - 5*b + 1 = 0, -u - 4*b - 23 = -16. Solve 5*r - u - 7 = 0 for r.
4
Let y = 349 + -346. Solve -2*w - y*w = 25 for w.
-5
Let q(m) = -3*m + 7. Let p be q(4). Let x(l) = l + 9. Let w be x(p). Solve -2 = w*n + 14 for n.
-4
Suppose 0*t - 7*t - 105 = 0. Let o = t - -18. Solve o*z = z for z.
0
Let i be -6*(-3)/(-21)*42/(-9). Suppose 5*g - 2*s = 14, -3 - 1 = -5*g - 3*s. Solve i*c + g = 14 for c.
3
Suppose -5*n - 8 + 18 = 0. Let d be -4 + 6 + 2/n. Solve -m + d - 6 = 0 for m.
-3
Let b(x) = -2*x**2 + 25*x - 31. Let r(s) = s**2 - 13*s + 16. Let w(h) = -6*b(h) - 11*r(h). Let a be 1 - (-4 - -2 - 2). Let g be w(a). Solve g*v = v + 3 for v.
-3
Suppose 150 = p + 138. Let o be ((-12)/8)/(6/(-16)). Solve q - p = o*q for q.
-4
Let q be (-1)/4 - 1/(-8)*-6. Let w be (-4)/(3 - q) + 4. Solve 0*p - w = 3*p for p.
-1
Let m(t) = -t**2 + 6*t + 19. Let g be m(9). Let k be (g/12)/(4/(-30)). Solve 13 + 7 = -k*q for q.
-4
Let y = -186 - -79. Let k = -103 - y. Solve -k*p - 4 = 4 for p.
-2
Let o be 0*(1/(-3))/((-37)/(-111)). Solve -10*q + 14 - 4 = o for q.
1
Suppose -4*m + 95 = 83. Suppose -m*t = -9 - 6. Solve t*q - 1 = 4 for q.
1
Let a(r) = -r**3 - 13*r**2 + 11*r - 33. Let l be a(-14). Suppose 2*c = l*c - 14. Solve c*y - 4 = -12 for y.
-4
Let x(h) = h**2 + 76*h - 314. Let s be x(4). Solve -s*d + 24 = 18 for d.
1
Let v be 4/((-16)/12) + (8 - 5). Solve -15 = -v*l - 3*l for l.
5
Let g(m) = 30*m**3. Let i be g(-1). Let o be (-630)/27 + 1/3. Let l = o - i. Solve -1 = -4*z + l for z.
2
Suppose -4*f + 0*f - 2*a - 2 = 0, 5*f - 2*a - 2 = 0. Let d be f/(3 + (-7 - -3)). Solve -2*u + 3 + 5 = d for u.
4
Let c be (4 - 4)/(-2 - (-3 + 2)). Solve 0 = -x - 5 - c for x.
-5
Suppose 0 = -5*a - 3*q + 84, 17*q - 64 = -4*a + 13*q. Solve a*f - 15*f = -3 for f.
-1
Let k be 9/75*-5 - (-43)/5. Solve 11*c - 9*c = k for c.
4
Suppose 0 = -5*f - 2*f + 21. Solve -f*v = -7 + 10 for v.
-1
Let t be (-42)/(-105) - (258/(-15))/2. Solve t*u = 10*u - 4 for u.
4
Let r(w) = 6*w - 19. Let m be r(9). Suppose 25 = -5*j, h + 4*h - m = j. Solve -6 = -3*k + h for k.
4
Suppose q + 84 = -3*q. Let s = q + 23. Solve -2*t - s*t = -20 for t.
5
Let p = -18 + 22. Suppose 0 = -3*x + 2*s + p + 15, -27 = -4*x + 3*s. Suppose -2*h + 50 = x*h. Solve y + 4*y = h for y.
2
Suppose 0 = 2*u + z - 4, -4*z + 1 = 5*u - 2*u. Solve -3 = -u*x + 2*x for x.
3
Let s = -1335 + 1337. Solve -s*w + 5 = -1 for w.
3
Let m = -3 - 8. Let w be (-3 + m)/(1 + -3). Suppose -w = -4*b + 5. Solve 2*x - x - b = 0 for x.
3
Suppose 0 = -36*o + 44*o - 96. Solve 12*j = 15*j + o for j.
-4
Let i = 173 - 102. Let z(r) = 71 - i + 3*r. Let n be z(0). Solve -3*d + 2*d + 4 = n for d.
4
Let i = -12 - -27. Let u = 39 + -42. Let f be ((0/u)/(-2))/(-1). Solve f*r - 3*r = -i for r.
5
Let g = -50 + 66. Solve -g = 4*k - 0 for k.
-4
Suppose 21*d + 204 = 4*d. Let z be 1/3 + (-70)/(-6). Let g = z + d. Solve 3 = -f - g for f.
-3
Let x be (-18)/(-2)*(-3498)/(-477). Solve -68*i = -x*i - 8 for i.
4
Suppose -4*m + 2*l = -94, 4*l + 29 = 2*m - 9. Solve 30*o = m*o + 10 for o.
2
Suppose 0*a + 2*a = -10, -2*l + 5 = a. Solve 14 = l*d + 39 for d.
-5
Let q(n) = 2*n**2 + 12*n + 8. Let j(v) = v**2 - 6. Let g be j(0). Let z be q(g). Solve z*x = 3*x for x.
0
Suppose -31*q + 30*q - 30 = 0. Let l = q + 36. Solve l + 2 = 2*y for y.
4
Let u = -10 - -20. Let o be (-6)/(-5)*u/4. Solve -2*s + o = s for s.
1
Let m be 4/10 - (-12)/(-30). Solve -3*f + 2*f + 5 = m for f.
5
Let z(b) = b**2 + b - 1. Let c(u) = 4*u**2 + 19*u + 14. Let n(x) = c(x) - 3*z(x). Let a be n(-15). Solve -4*p - a = -14 for p.
3
Let m = 39 - 27. Let b be ((-51)/12)/(3/m). Let l = b + 17. Solve 4*g + 23 - 3 = l for g.
-5
Let i(p) = -66*p + 1 + 65*p + 1. Let h be i(0). Suppose 7*s - 15 = 2*s. Solve 5*r - h = s for r.
1
Suppose 5*m = 2*q + 6, -4*m - q + 6 = -3*q. Solve 3*a + 6 = -m*a for a.
-2
Suppose 0 = -b - 3*b + 12. Let m(z) = z**3 - 2*z**2 + z - 7. Let j be m(3). Suppose -2*k + j*k = -4*h + 14, 0 = -h + k. Solve h*c - b = -7 for c.
-2
Let a(z) = 4*z + 24. Let g be a(4). Suppose 122*m - 120*m - g = 0. Solve -u - 4*u = m for u.
-4
Let r(m) = -m + 3*m - 10 - 4*m. Let i be r(-6). Solve -2*q - i*q + 12 = 0 for q.
3
Let w = 578 - 550. Solve -w = -7*d + 7 for d.
5
Suppose -w = -1, -7*w + 8*w - 1 = q. Solve q = 3*y + y + 20 for y.
-5
Suppose 14*g - 2316 = -1700. Solve -2*f + 36 = g for f.
-4
Suppose -2*d + 9 = 3*h + 1, -4*h + 12 = 2*d. Solve 5*k + h = 4*k for k.
-4
Let r(n) be the first derivative of -n**2 - 2*n + 5. Let t be r(-3). Suppose -t*s = y + 12, y - 23 = 2*s + s. Solve y - 33 = -5*u for u.
5
Let z(v) = -v + 8. Let m be z(8). Let k be m/3*(-2)/4. Let f(h) = -3*h - 7. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
*q(b).
b**3 - b**2 + b
Let r(i) = i - 3. Let z(y) = -10 + 20 - 11. Determine -r(g) - 2*z(g).
-g + 5
Let c(p) = 2 + p**2 - 5*p + 4*p**3 + 1 - 9. Let a(b) be the second derivative of 3*b**5/20 + b**4/12 - 2*b**3/3 - 5*b**2/2 - 9*b + 5. What is 5*a(q) - 4*c(q)?
-q**3 + q**2 - 1
Let p(w) = -2*w - 11. Let r be p(-9). Let t = r + -3. Let n(s) = -s + 5 - 2 - t. Let l(f) = -3*f - 2. What is 2*l(y) - 5*n(y)?
-y + 1
Let u(i) = -4*i + 2. Let d(l) = 7*l + 0*l - 3 + 0*l. Suppose -4*j = 2*z + 22, 0 = j + 4 - 0. Determine z*d(a) - 5*u(a).
-a - 1
Let h(g) = 4*g**2 - 9*g - 5. Let y be 6/33 - 35/11. Let z(p) = 2*p**2 - 5*p - 3. Calculate y*h(n) + 5*z(n).
-2*n**2 + 2*n
Let o(v) = 2*v - 2. Let f(g) = -2*g + 2. Let y(c) = -4*f(c) - 5*o(c). Let h(m) = 2*m + 4*m - 3 - 3*m. Let t = -4 + 12. What is t*y(w) + 5*h(w)?
-w + 1
Suppose 0 = 5*p - 2*p. Let y(r) = p*r**3 + 2*r**3 + 2*r**2 + r**2 + r**2. Let s(u) = 3*u**3 + 6*u**2. Calculate -5*s(l) + 8*y(l).
l**3 + 2*l**2
Let s(l) = 4*l. Let r(q) = -3*q - 1. Let h(f) = -3*r(f) - 2*s(f). Let k(p) = -2*p - 5. Determine -5*h(a) - 3*k(a).
a
Suppose m + 3 = -t, -3*m + 6*t = 2*t + 44. Let h = -6 - m. Let i be (-1)/6*h*-12. Let k(c) = 2*c + 4. Let b(s) = s + 1. What is i*b(l) - k(l)?
2*l
Let x(s) = -5*s**3 + 4*s - 2. Let i(a) = -a. Give 4*i(w) + x(w).
-5*w**3 - 2
Let p(d) = -2*d + 2. Let o be p(3). Let y(h) = 3*h. Suppose 0 = 5*k + 12 - 42. Let s(f) = -f + 2*f + k*f. Give o*s(l) + 9*y(l).
-l
Let t(l) = -45*l**3 - 11*l**2 + 11. Let s(m) = -23*m**3 - 6*m**2 + 6. What is 11*s(g) - 6*t(g)?
17*g**3
Let y(c) = c**2 - 4*c - 4. Let u be y(4). Let z(a) = 5*a**3 - 11*a**2 - 6*a. Let o(n) = -2*n**3 + 4*n**2 + 2*n. What is u*z(s) - 11*o(s)?
2*s**3 + 2*s
Let m(h) = 8*h**3 + 2*h**2 - h + 2. Let c(w) = w**2. Calculate 2*c(l) - m(l).
-8*l**3 + l - 2
Let h(a) = -2*a + 6. Let s(w) = 1. Calculate -h(b) + 2*s(b).
2*b - 4
Let b(g) be the second derivative of -g**3/6 + 8*g. Let k(x) = -3 + 5*x - x + 1. Let m be (2/6)/(1/3). What is m*k(d) + 6*b(d)?
-2*d - 2
Let m(l) = -1702*l**3 + 185*l**2 + 185*l - 185. Let a(q) = 37*q**3 - 4*q**2 - 4*q + 4. What is 185*a(y) + 4*m(y)?
37*y**3
Let h(q) = -5*q**2 - 1 + 5*q - q**2 + 3*q**2 + 6. Let j(l) = l**2 - 2*l - 2. Determine 3*h(r) + 7*j(r).
-2*r**2 + r + 1
Let v(z) = -4*z. Let q(c) be the second derivative of c + 0*c**2 + 1/3*c**3 + 0. Determine -5*q(g) - 2*v(g).
-2*g
Let a(x) = -x - 1. Let i(j) = -4*j - 6. Give -3*a(d) + i(d).
-d - 3
Let v(f) = f**2 + 6*f. Let q(h) = h. What is 2*q(r) - v(r)?
-r**2 - 4*r
Let t(b) = 1615*b + 171. Let d(a) = -19*a - 2. Determine -171*d(n) - 2*t(n).
19*n
Let c(v) = 6*v + v - 5*v. Let o(j) = 6*j. Give -17*c(x) + 6*o(x).
2*x
Let u(z) = -z**2 + z - 1. Let b(d) be the second derivative of -d**5/20 + 2*d**4/3 - 5*d**3/6 + 5*d**2/2 + 2*d. Calculate b(y) + 5*u(y).
-y**3 + 3*y**2
Let p(y) = 2 + 0*y - 2*y + 7 - 6. Let b(a) = -2 + 0 + 5 - 2. Suppose -2*k + n = -n, -n = k + 2. Calculate k*p(u) + 5*b(u).
2*u + 2
Let n(d) = -9*d + 2. Let t(z) be the third derivative of -13*z**4/24 + z**3/2 - 103*z**2. Suppose 2*g + 4 = -6. Give g*t(u) + 7*n(u).
2*u - 1
Let d(n) be the first derivative of -10*n**3/3 - 6*n**2 - 3. Let p(r) = r**2 + r. Give d(v) + 12*p(v).
2*v**2
Let r(j) = 2*j. Let q(x) = x. Suppose -6 = 2*h - 5*h. Calculate h*r(b) - 5*q(b).
-b
Suppose -c - 22 = -3*c. Let a(h) be the third derivative of 5*h**4/8 + 11*h**3/6 - 6*h**2. Let g(b) = 3*b + 2. What is c*g(m) - 2*a(m)?
3*m
Let r(c) = -6*c + 1 - 1 + 0. Let w be r(1). Let b(f) = -1. Let i(q) = -2*q + 8. Give w*b(a) - i(a).
2*a - 2
Let x(v) = -v**3 - 2*v**2 - 3*v + 1. Let p(y) = 3*y**3 + 5*y**2 + 8*y - 2. Suppose 2*h - 6 = 4*h. Determine h*p(k) - 8*x(k).
-k**3 + k**2 - 2
Let z(f) = 3*f**3 + 2*f**2 + 2. Let s(q) = q**3 + 6*q**2 - 9*q - 10. Let g be s(-7). Let u(d) = -16*d**3 - 11*d**2 - 11. Determine g*u(p) + 22*z(p).
2*p**3
Let d(v) = 3*v**2 - 1. Let p(y) = -7*y**2 + y + 2. Let g = -11 - 23. Let r be g/(-6) - (-10)/(-15). Suppose j + r = -0*j. Calculate j*d(k) - 2*p(k).
-k**2 - 2*k + 1
Let a(v) = 4*v - 3. Let r(w) = 2*w - 2. Determine -3*a(y) + 5*r(y).
-2*y - 1
Let i(t) = -t**2 - 2*t - 5. Let d(x) = -3*x**2 + 75 - 5*x - 43 - 43 + 0*x**2. What is 2*d(j) - 5*i(j)?
-j**2 + 3
Let g(a) = 5*a**2 - 17*a - 7. Let y(r) = -2*r**2 + 8*r + 3. Calculate -3*g(z) - 7*y(z).
-z**2 - 5*z
Let p(g) = -1 + g - 1 + 4 - 1. Let n(i) = i + 4. Give n(u) - 2*p(u).
-u + 2
Let v(i) = i**2 - 6*i - 6. Let r(n) = -2*n**2 + 14*n + 21. Let h(d) = -d**2 + 7*d + 10. Let k(l) = -7*h(l) + 3*r(l). What is -6*k(u) + 7*v(u)?
u**2
Let m(u) = -3*u**2 + 2*u + 2. Let r(h) = -h - 55 + 25 + 29. Suppose 0 = 4*x - 8*x - 4. What is x*m(v) - 2*r(v)?
3*v**2
Let u(d) = -2*d**2 - 3*d + 3. Let g(c) = -25*c**2 - 40*c + 40. Calculate -3*g(q) + 40*u(q).
-5*q**2
Let g(p) = 5*p**3 + 1. Let a(i) = -i**3. Let m be (26/6 - 4)*-3. Give m*g(k) - 4*a(k).
-k**3 - 1
Let g be 1*18/(-30)*-5. Let p(c) = 5*c**2 + 3*c + 6. Let l(a) = -8*a - 7 - 1 - 14*a**2 - 9. What is g*l(b) + 8*p(b)?
-2*b**2 - 3
Let q(k) = 34*k**3 - 4*k**2 + 4*k + 4. Let f(t) = -34*t**3 + 5*t**2 - 5*t - 5. Give -4*f(n) - 5*q(n).
-34*n**3
Let y(l) = -l**2 + l. Let d(x) = -x**2 + 4*x + 4. Determine -d(p) + 4*y(p).
-3*p**2 - 4
Let f(j) = 14*j - 17. Suppose g + 0*g - 17 = -4*m, 0 = 3*m + 5*g - 34. Suppose p = m*p. Let q(y) = p + 8*y - 1 - 5 - 3*y. Determine -6*f(c) + 17*q(c).
c
Let k(p) = -p + 6. Let a(u) be the second derivative of -u**3/6 + 5*u**2/2 + 2*u. Suppose 10 - 52 = -7*x. Calculate x*a(m) - 5*k(m).
-m
Let c(i) = i**2 - i - 8. Let a(b) = 2*b**2 - 2*b - 17. Give -6*a(x) + 13*c(x).
x**2 - x - 2
Suppose 2*x + 6 = -3*i, 3*i + i = 0. Let a = 0 + x. Let b(m) = m - 2. Let c(n) = -1. Let q = -32 - -34. Determine a*c(u) + q*b(u).
2*u - 1
Let u(o) = -99*o - 51. Let r(k) = -4*k - 2. Determine 153*r(m) - 6*u(m).
-18*m
Let h(f) = 89*f**2 + 5. Let k(z) = -846*z**2 - 47. Calculate 47*h(l) + 5*k(l).
-47*l**2
Let x(c) = 13*c + 6. Suppose 2*w + 3*w - 5 = 0. Let d(f) be the first derivative of 0*f**2 - w + 2*f**2 + 0*f + 2*f. Give 7*d(i) - 2*x(i).
2*i + 2
Let z be (-63)/84 - (-19)/4. Let u(p) = -p**3 + 4*p**2 + 2*p - 4. Let y(k) = k**3 - 3*k**2 - 2*k + 3. Calculate z*y(j) + 3*u(j).
j**3 - 2*j
Let t(b) = -b**3 - b + 1. Let r(l) = 5*l**3 - 9*l**2 + 3*l - 1. Let o(x) = -r(x) - t(x). Let s(z) = 2*z**3 - 4*z**2 + z. Give 4*o(m) + 9*s(m).
2*m**3 + m
Let z(c) = 4*c**2 - 8*c + 8. Let h = -30 - -25. Let l(i) = 3*i**2 - 5*i + 5. Give h*z(n) + 8*l(n).
4*n**2
Let f(w) = -w - 1. Let y(o) = -10*o + 1. Calculate -f(n) - y(n).
11*n
Let b(n) = 3*n**2 + 4*n + 2. Suppose -5*j + 2 = -23. Suppose -j*m = -5*d + 10, 2*m = 2*d + 3*m - 4. Let r(f) = -4*f**2 - 5*f - 2. Give d*r(u) + 3*b(u).
u**2 + 2*u + 2
Let z(c) = -8*c - 7. Let f(b) be the third derivative of -b**4/24 - b**3/6 + b**2. Let p be (1*8/6)/((-6)/27). Give p*f(m) + z(m).
-2*m - 1
Let d(q) = -9*q**3 + 1. Let s(m) = -10*m**3 + 2. Give -6*d(t) + 5*s(t).
4*t**3 + 4
Suppose -2 = -3*z - x + 4, 5*x + 24 = 3*z. Let h(m) = -3*m**2 - m - 6. Let n(d) = -d. Let j(o) = z*n(o) - h(o). Let c(a) = a**2 + 1. Calculate 4*c(i) - j(i).
i**2 + 2*i - 2
Let q(y) = y + 8. Let m(u) = -u**3 + 6*u**2 - 3*u - 4. Let i be m(5). Let x(z) = 1. Determine i*x(j) - q(j).
-j - 2
Let s(h) = -4*h**3. Suppose -8 = a - 7. Let p(k) = k**3. Calculate a*s(y) - 6*p(y).
-2*y**3
Let r(x) = -x**2 + 6*x + 1. Let c(t) = -2*t**2 + 13*t + 2. Calculate -6*c(s) + 13*r(s).
-s**2 + 1
Let x(b) = -1. Let d(s) = 2*s + 10. Let f(n) = n**2 - 6. Let v be f(-4). Determine v*x(l) + d(l).
2*l
Suppose 2*o - 7*o - 60 = -5*y, 8 = -y - 3*o. Let w(b) = 10*b**2 - 7. Let z(r) = 9*r**2 - 6. Determine y*z(p) - 6*w(p).
3*p**2
Let n(p) = p + 1. Let t(c) be the third derivative of c**4/2 + 7*c**3/3 + 11*c**2. What is -28*n(l) + 2*t(l)?
-4*l
Let k(y) = y. Let a(u) = -3*u**2 + 5*u**2 - 2*u - 3*u**2 + 0*u. Determine -a(t) - 2*k(t).
t**2
Let p(o) = 7*o**3 + 5*o**2 + 12*o + 8. Let a(n) = n**3 + n**2 + n + 1. Determine -6*a(m) + p(m).
m**3 - m**2 + 6*m + 2
Let q(k) = -11*k - 7. Let a(c) = -c - 1. What is -6*a(f) + q(f)?
-5*f - 1
Let h be (102/(-9))/((48/9)/8). Let j(q) = 9*q - 17. Let x(i) = -3*i + 6. Determine h*x(z) - 6*j(z).
-3*z
Let m(q) = 3*q + 4. Let n(b) = -3*b - 3. Let z(o) = -o**3 - 17*o**2 - 15*o + 11. Let p be z(-16). Give p*n(k) - 4*m(k).
3*k - 1
Let l(c) = -4*c**3 - 11*c**2 + 5*c - 5.
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose m(k) = 0. What is k?
-2, 0
Let m be ((-15)/(-27))/((-300)/(-90)). Factor -1/2*u + m + 1/3*u**2.
(u - 1)*(2*u - 1)/6
Suppose -k + 8 = d, -2*k + 3*d - 6 = -42. Let n be 3/(-8)*k/(-18). Factor -1 - n*z**2 - z.
-(z + 2)**2/4
Let g = -44 - -46. Factor 8/5*d - 8/5 - 2/5*d**g.
-2*(d - 2)**2/5
Let j(f) = -14*f**2 + 14. Let x(z) = 1 - 6 + 6*z**2 - z**2. Suppose 16 = -0*s + 2*s - 2*o, -s - 3*o = -20. Let n(q) = s*x(q) + 4*j(q). Let n(k) = 0. What is k?
-1, 1
Let c = -66 - -69. Let l(p) be the first derivative of -1/12*p**c + 0*p - 1/8*p**2 - 3. Suppose l(y) = 0. Calculate y.
-1, 0
Suppose 0 = -2*p - 4*y + 62, 0*p + 5*y - 43 = -p. Let g = p - 21. Factor -1/5*n**5 + 0 - 2/5*n**4 + 2/5*n**g + 1/5*n + 0*n**3.
-n*(n - 1)*(n + 1)**3/5
Let p = 12/305 + -26/1281. Let t(u) be the third derivative of 0*u**4 - 2*u**2 + 1/60*u**6 + 1/168*u**8 + 0*u**5 + 0*u - p*u**7 + 0*u**3 + 0. Solve t(q) = 0.
0, 1
Let h(j) be the third derivative of 0 + 0*j**6 + 0*j**3 + 0*j**5 - 1/336*j**8 + 0*j**4 - 1/210*j**7 - 4*j**2 + 0*j. Factor h(t).
-t**4*(t + 1)
Let c(b) be the third derivative of -b**6/480 + b**5/60 - b**4/32 + 11*b**2. Find j, given that c(j) = 0.
0, 1, 3
Let j(z) be the second derivative of 0 + 1/2*z**4 + 2*z + 4/3*z**3 + z**2. Find g such that j(g) = 0.
-1, -1/3
Let c(o) be the first derivative of -o**4/4 - o**3 - 3*o**2/2 + 4*o + 5. Let h(r) be the first derivative of c(r). Solve h(p) = 0.
-1
Let w(j) be the first derivative of j**9/10584 + j**8/5880 - j**7/2940 - j**6/1260 + j**3 + 1. Let m(i) be the third derivative of w(i). Factor m(a).
2*a**2*(a - 1)*(a + 1)**2/7
Find j, given that -9*j - 3*j**2 - 6*j - 3*j + 9*j = 0.
-3, 0
Let y = 17/2 - 25/3. Suppose 1/2*v**3 + 0 + 0*v + 1/2*v**4 + y*v**5 + 1/6*v**2 = 0. Calculate v.
-1, 0
Let x be 0*(2 + -1)*1. Let a(w) be the third derivative of 1/30*w**5 + 0 + 1/315*w**7 + w**2 + 0*w**3 + 1/60*w**6 + x*w + 1/36*w**4. Factor a(s).
2*s*(s + 1)**3/3
Let l(g) = g**3 - 12*g**2 + 13*g + 14. Let w be l(11). Let h = w - 34. Solve 10/7*s - 4/7 + 2*s**h = 0.
-1, 2/7
Let o(g) be the second derivative of g**4/4 + 3*g**3/2 + 3*g**2 + 5*g. Determine x so that o(x) = 0.
-2, -1
Solve 21/2*x**2 - 21/2*x**4 - 3/4*x**5 + 0 - 36*x**3 + 147/4*x = 0 for x.
-7, -1, 0, 1
Let i(s) = -s**3 - s**2 + 5*s - 6. Let p(h) = -h**2. Let q(v) = -i(v) + 3*p(v). Solve q(o) = 0 for o.
-2, 1, 3
Suppose n - 30 = -4*n. Let r(g) = 5*g**2 - 9*g + 4. Let i(t) = -4*t**2 + 8*t - 4. Let b(m) = n*i(m) + 4*r(m). Suppose b(y) = 0. What is y?
1, 2
Let b be (10/(-20))/(2/(-16)). Suppose 7*j**3 + 6*j**2 + 5*j**3 + j**4 + 2*j**b - 3*j**3 = 0. What is j?
-2, -1, 0
Suppose -5*r + 7 = -8. Determine k, given that -4 + 4*k**2 + 4*k - k - r*k**3 + k**3 - k = 0.
-1, 1, 2
Let l be (-345)/(-138)*16/10. Let 8/7*a**2 - 2/7*a**3 - 1/7 - a**l - 2/7*a + 4/7*a**5 = 0. Calculate a.
-1, -1/4, 1
Let u be 21/(-18)*(-12)/28. Find n such that u*n**4 - n**2 - 1/2*n**5 - 1/2*n + 1/2 + n**3 = 0.
-1, 1
Let p(u) be the second derivative of u**6/180 - u**5/60 - 5*u**3/3 - u. Let v(y) be the second derivative of p(y). What is m in v(m) = 0?
0, 1
Suppose 2/5*b**2 - 8/5*b + 8/5 = 0. What is b?
2
Let m(o) be the second derivative of -3*o + 0 - 1/2*o**3 - 1/12*o**4 + o**2. Let u(n) = 4*n**2 + 9*n - 6. Let j(c) = 21*m(c) + 6*u(c). Solve j(f) = 0 for f.
1, 2
Let u(i) = i**4 + 2*i**3 + 4*i**2 + 12*i + 9. Let m(n) = -n**4 - 3*n**3 - 5*n**2 - 12*n - 9. Let f(z) = -6*m(z) - 7*u(z). Factor f(a).
-(a - 3)**2*(a + 1)**2
Let c(b) be the first derivative of -b**5/50 + 11*b**4/10 - 121*b**3/5 + 1331*b**2/5 - 14641*b/10 - 23. Factor c(a).
-(a - 11)**4/10
Let m(w) be the first derivative of w**8/336 + w**7/70 + w**6/40 + w**5/60 - 3*w**2/2 + 2. Let s(j) be the second derivative of m(j). Factor s(a).
a**2*(a + 1)**3
Let d(y) = y**2 + 3*y - 2. Let v be d(-5). Solve 2 + 17/2*m**2 - 5/2*m**3 - v*m = 0.
2/5, 1, 2
Let h(v) be the first derivative of 1/5*v**5 - 2*v - 5/2*v**2 + 1/4*v**4 + 4 - v**3. Find l such that h(l) = 0.
-1, 2
Let d(i) be the first derivative of i**4/8 - i**3/18 - i**2/4 + i/6 - 8. Factor d(v).
(v - 1)*(v + 1)*(3*v - 1)/6
Let g(y) be the first derivative of -y**4/10 + 2*y**3/5 + y**2/5 - 6*y/5 + 58. Solve g(i) = 0 for i.
-1, 1, 3
Let y(b) = 3*b**2 - 2*b - 1. Let r be y(-3). Suppose 30*g**2 - r*g**2 + 1 + g**4 + 0*g**4 = 0. Calculate g.
-1, 1
Factor -2*s**2 + 1/4*s - 9/4*s**3 + 0.
-s*(s + 1)*(9*s - 1)/4
Find d, given that -5/2*d - 2*d**3 - 1 + 11/2*d**2 = 0.
-1/4, 1, 2
Let x(m) be the first derivative of 4*m**3/21 + 4*m**2/7 + 10. Factor x(u).
4*u*(u + 2)/7
Let j(w) be the third derivative of -w**8/10080 - w**7/840 - w**6/180 - w**5/20 - w**2. Let y(h) be the third derivative of j(h). Factor y(o).
-2*(o + 1)*(o + 2)
Let h(q) be the first derivative of -q**4/13 - 10*q**3/39 + 3*q**2/13 + 64. Let h(a) = 0. Calculate a.
-3, 0, 1/2
Let d(o) be the third derivative of o**6/480 - o**5/120 - o**4/96 + o**3/12 + 25*o**2. Find g, given that d(g) = 0.
-1, 1, 2
Let d(x) be the second derivative of x**6/80 + 3*x**5/16 + x**4/4 - 5*x**3/8 - 27*x**2/16 - 3*x + 3. Suppose d(p) = 0. What is p?
-9, -1, 1
Suppose 0*r = -r. Suppose r = -x + 5. Factor 0*v - x*v**3 + 3*v**3 + 2*v.
-2*v*(v - 1)*(v + 1)
Determine v so that 2*v**3 - 12*v + 19*v - 9*v = 0.
-1, 0, 1
Let j = 18903 + -623708/33. Let z = 45/11 - j. Find q such that 2/3*q**4 - z*q**3 + 0 + 0*q + 0*q**2 = 0.
0, 2
Let o = 7 + -2. Let y(p) = -p**2 + 6*p - 3. Let l be y(o). Factor -2*h**3 + 3*h**2 + 1/2 - l*h + 1/2*h**4.
(h - 1)**4/2
Let a(u) be the second derivative of u**5/80 + 7*u**4/48 + u**3/3 - 2*u**2 + 38*u. Let a(z) = 0. Calculate z.
-4, 1
Factor -1/2*d - 1/4*d**2 + 3/4.
-(d - 1)*(d + 3)/4
Factor -3*d**2 - 21/2*d + 3/2*d**3 - 6.
3*(d - 4)*(d + 1)**2/2
Let n(i) = -i**3 + 11*i**2 - 49*i + 6. Let l(q) = q**3 - 10*q**2 + 49*q - 8. Let y(r) = 3*l(r) + 4*n(r). Determine f so that y(f) = 0.
0, 7
Let x = 8/17 - -1/34. Factor -x*s**2 + s + 0.
-s*(s - 2)/2
Suppose 0 = -4*v + v + 15. Let f(r) be the third derivative of 1/30*r**v + 1/6*r**4 + 0*r + 0 - 3*r**2 + 1/3*r**3. Find g such that f(g) = 0.
-1
Let m(j) be the second derivative of -j**5/90 + j**4/27 + j**3/27 - 2*j**2/9 + 7*j. Determine k so that m(k) = 0.
-1, 1, 2
Let d(k) be the second derivative of k**4/108 - k**2/18 + 5*k. Factor d(q).
(q - 1)*(q + 1)/9
Let m(z) be the third derivative of -1/280*z**7 + 0*z**4 + 0*z**3 + 0 + 3*z**2 + 1/160*z**6 - 1/240*z**5 + 0*z + 1/1344*z**8. Suppose m(q) = 0. What is q?
0, 1
Let q = 2 - 2. Suppose q = -3*c - 2*s - 1, -4*c + 2*s = -s - 27. Factor -3*w + w**c + w**3 + 2*w - w**5.
-w*(w - 1)**2*(w + 1)**2
Let q(s) = -s**2. Let d(x) = -16*x**2 - 8*x + 4. Let m(n) = -d(n) + 20*q(n). Let m(w) = 0. Calculate w.
1
Let l(z) = z**3 - 10*z**2 - 13*z - 5. Let n be l(11). Let v be n/(-18)*(-4)/(-3). Factor 1/2 + 3/4*y + 1/4*y**v.
(y + 1)*(y + 2)/4
Let m = -1/20 - -4/5. Let h(j) be the first derivative of -1 - 1/4*j**2 - 15/16*j**4 + 0*j - 11/20*j**5 - m*j**3 - 1/8*j**6. What is x in h(x) = 0?
-1, -2/3, 0
Let d(r) be the third derivative of -r**8/8960 + r**6/960 - r**4/24 - 2*r**2. Let s(u) be the second derivative of d(u). Factor s(h).
-3*h*(h - 1)*(h + 1)/4
Factor -2*s**5 - 364*s**2 + 4*s - 6*s**5 + 356*s**2 + 4*s**5 + 8*s**4.
-4*s*(s - 1)**3*(s + 1)
Let j(a) be the second derivative of -a**5/3 + 32*a**4/9 - 74*a**3/9 + 20*a**2/3 + 2*a. What is q in j(q) = 0?
2/5, 1, 5
Factor 2 - i**2 - 10*i + 0 + 3*i + 6*i.
-(i - 1)*(i + 2)
Let c(o) = -o - 3. Let u be c(-4). Let v be -1*u + 9/9. Solve -2/3*r - 1/3*r**2 + v + 1/3*r**3 = 0 for r.
-1, 0, 2
Let r(f) be the first derivative of -4*f**5/25 + 2*f**4/5 + 11*f**3/15 + 3*f**2/10 + 5. Factor r(t).
-t*(t - 3)*(2*t + 1)**2/5
Let w = 135/16 + -35/16. Let h = 7 - w. Factor 1/2 + 1/4*s**2 + h*s.
(s + 1)*(s + 2)/4
Let w(a) = -3*a**3 + a**2 + 2*a. Let m be w(-1). Factor -2/9*c - 4/9*c**m + 0 - 2/9*c**3.
-2*c*(c + 1)**2/9
Let q(g) be the first derivative of -g**6/105 - g**5/70 + g**4/21 - 2*g + 3. Let f(j) be the first derivative of q(j). Find a such that f(a) = 0.
-2, 0, 1
Let o = 13 - 9. Factor -324*g + 162*g**2 - 36*g**3 + o*g**4 + 5*g**4 + 243 - 6*g**4.
3*(g - 3)**4
Let c(r) be the first derivative of 0*r**2 + 1/8*r**4 + 1/36*r**6 + 1/18*r**3 + 0*r - 2 + 1/10*r**5. Factor c(b).
b**2*(b + 1)**3/6
Let z(p) be the first derivative of p**6/6 - p**4/4 -
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + z. Let y be k(-1). Suppose -a = -1 - y. Is a prime?
False
Let p = 6 - 4. Let q(s) = 1 + 2*s - 3*s**p - 4 + s**3 + 0*s. Is q(4) a prime number?
False
Suppose -4*d - 20 = d. Is 2 + 4/(d/(-35)) a prime number?
True
Let a = -208 - -337. Suppose 19 = 4*d - a. Is d a composite number?
False
Let x(c) = -5*c**3 + 4*c**2 + 6*c + 8. Is x(-3) a prime number?
False
Let g = -51 - -143. Suppose 2*d - g = 798. Is d composite?
True
Let m = 610 - 399. Is m prime?
True
Let y(j) = 5*j**2 + j - 8. Let l be y(-5). Suppose -l - 243 = -5*g. Is g composite?
False
Suppose -3*r = -3*y + 48, 0 = y + 2*y - r - 58. Suppose 0 = 2*x - 3*x + y. Is x prime?
False
Let b = -3 + 8. Suppose 3*r = 0, 3*a = -0*r + b*r - 66. Let p = 56 + a. Is p a composite number?
True
Suppose 0 = 3*x - 454 - 1655. Is x a composite number?
True
Let k(b) = b**3 + b**2 + 74. Suppose 0*p = 2*p. Let q be k(p). Let u = 105 - q. Is u a composite number?
False
Let c = 3 - 1. Let v(p) = 19*p**3 + p**2 + 2*p - 3. Is v(c) a composite number?
False
Let v(z) = z**3 - 4*z**2 + 2*z + 1. Let j be v(2). Is 2954/j*3/(-2) a prime number?
False
Let n(u) = -15*u**3 + 3*u + 2. Let m be n(-2). Suppose -4*l + 2*g - 190 = -0*g, l - 3*g + 50 = 0. Let q = l + m. Is q a composite number?
True
Let z(x) = x**3 - 7*x - 6. Let r be z(-4). Let t be (-6)/(-33) - r/11. Suppose 3*b + 0*d - 141 = -t*d, 5*b - 249 = -2*d. Is b a prime number?
False
Let v(i) = 3*i**2 + 2*i. Let n be v(-5). Let s = -22 + n. Is s prime?
True
Let p(f) = 22*f**2 + 5*f + 2. Let x be p(-5). Let g = -342 + x. Suppose -m = -t - 50, 4*m + 3*t - g = 2*t. Is m a composite number?
False
Let j = 6 + -4. Suppose -4*o + 6 = j*v, 1 = 4*o + 5*v - 2. Suppose 5*q = 3*k - 256, -o*q + 52 = k + 3*q. Is k composite?
True
Let c(y) = 4*y**2 - y + 1. Let m be c(1). Suppose -m*g - 4*x + 92 = 0, -2*g = -3*x - 27 + 1. Is g a prime number?
True
Suppose 13*m - 223 = 10034. Is m a composite number?
True
Let a = 3 - -1. Suppose -14 = -4*l - 2, a*x + 2*l - 22 = 0. Suppose 3*c = -2*p + 27, 4*c - 5*p - 9 = x. Is c prime?
True
Suppose 11 = 5*d - 4. Let c = 18 - d. Is c a composite number?
True
Is 53/(2 - 1) + 2 prime?
False
Let m = 8 - 4. Suppose -m*f + 3 = -3*d - 2, 0 = -f + 3*d - 1. Suppose -f*c + 6 + 12 = 0. Is c a composite number?
True
Let u(l) = 111*l + 3. Is u(4) a prime number?
False
Suppose 3 = -2*o + 4*v - 3, -3*o - 18 = 3*v. Is (-2)/o + (-2765)/(-25) a prime number?
False
Let k(y) = -4*y. Let j be k(6). Is 4*14*(-3)/j a prime number?
True
Suppose -2*q - 165 = -67. Let k = 13 - 83. Let y = q - k. Is y prime?
False
Suppose 606 = 3*n - 114. Suppose 0*g - 2*g - n = -4*k, -3*k = g - 175. Is k a prime number?
True
Suppose 2*q - q = 0. Is (21 + q + 2)/1 a composite number?
False
Is 12 - (-2 - 0/(-1))/2 a composite number?
False
Suppose -3*t = -t - 652. Is t composite?
True
Let l(d) be the second derivative of -d**6/72 - d**5/15 - d**4/3 + d. Let m(u) be the third derivative of l(u). Is m(-7) prime?
False
Let i = 5 + -4. Let u(f) = 20*f + 1. Is u(i) a prime number?
False
Suppose -4*r + 457 + 547 = 0. Is r a prime number?
True
Let h(l) be the third derivative of -l**6/30 - l**5/20 + 5*l**4/24 - l**3/2 - l**2. Let d be h(-4). Suppose -3*s = 2*s - d. Is s a composite number?
False
Suppose -4*t - t = 0. Suppose 3*y - 83 - 532 = t. Is y prime?
False
Let h(r) = 1200*r - 7. Is h(2) a composite number?
False
Suppose -3*x - x = 0. Suppose -g + 2 = -x*g. Suppose 4*r + 200 = 3*m - r, -3*m = -g*r - 197. Is m prime?
False
Let c = -1 - -4. Suppose -j - c = 5. Is 2/(-4) - 156/j a composite number?
False
Let n = -42 + 5. Let t = n + 68. Is t composite?
False
Let a(s) = -s**2 - s + 60. Let c be a(0). Let l = c + -7. Is l composite?
False
Let l(j) = j**3 + j**2 - j + 113. Let z be 28/8 - (-3)/(-2). Suppose -z*p = -p. Is l(p) a composite number?
False
Suppose 6*s = 2*s + 2*h, 3*s + 5*h = 0. Suppose r + 4*r - 25 = s. Suppose -1305 = -r*k + 200. Is k a composite number?
True
Let b = 20 + -10. Suppose -11*m + b*m = -185. Is m composite?
True
Let b(d) = 746*d + 33. Is b(4) composite?
True
Suppose -1140 = 2*f - 3*a - 5071, 5*a = 5. Is f a prime number?
False
Let i = -2461 + 4410. Is i a composite number?
False
Let g(n) = 38*n - 1. Suppose -3 = 2*f - 4*i + 1, -3*f = 4*i - 24. Let w be g(f). Let p = -72 + w. Is p composite?
False
Let l(n) = -n**3 - 3*n**2 + 12. Let r be (-285)/55 - 2/(-11). Is l(r) composite?
True
Let b = 0 - 1. Let d be (b/2)/(1/(-10)). Let f = 14 - d. Is f prime?
False
Let a(p) = p**3 + 6*p**2 - 6*p + 9. Let r be a(-7). Is (25 - (-3)/3)/r composite?
False
Let h = 572 - -369. Is h a composite number?
False
Let g = 173 + -90. Is g composite?
False
Let z(x) = x**2 + 3*x - 2. Let k be z(-4). Suppose -k*f + 5*w + 273 = 0, -5*f - 4*w + 137 + 628 = 0. Is f a composite number?
False
Suppose -d - 36 = 3*d. Let y(f) = 2*f**2 + 11*f - 17. Let i(n) = n**2 + 5*n - 9. Let k(j) = -5*i(j) + 3*y(j). Is k(d) prime?
True
Suppose 5*x = -2*u - 0*x + 580, 3*u = -4*x + 863. Let c = 61 - u. Let g = c + 411. Is g prime?
False
Suppose 0*c = 2*c + 4. Let h = c + 0. Is (-1)/2 - 63/h a prime number?
True
Suppose 2*b + b - 45 = 0. Is b a prime number?
False
Let u be (-21)/35 + (-253)/(-5). Suppose -5*v - u + 725 = 5*f, 5*f = -2*v + 282. Is v a composite number?
False
Suppose n = -4*t + 127, 2*n + 3*n = t - 37. Suppose -9 = g - t. Is g a composite number?
False
Suppose 4*s = 2*k - 20, -s + 24 = 5*k + 2*s. Let r = 1 - 6. Is r/15 + 38/k a prime number?
False
Let y = 160 - 38. Is y composite?
True
Suppose -159 = -5*b + 4*q, -6*b + 82 = -4*b + 3*q. Is b a composite number?
True
Let f(y) = 11*y**3 - 3*y**2 - y + 1. Let d be f(-7). Is (d/(-36))/((-2)/(-3)) a composite number?
False
Suppose -5*r = -490 + 55. Is r composite?
True
Suppose 5*x = x + 3868. Is x a composite number?
False
Is (762/(-12))/((-1)/2) a composite number?
False
Suppose 1592 = 4*t - 5*k, -2*t + 2*k = -1024 + 230. Suppose -t = -7*j + 4*j. Is j a prime number?
True
Let a = 5 + -4. Is 23 - (a - (2 + -2)) composite?
True
Let q be -3 + (-6)/(-3) - 5263. Is q/(-21) - (-1)/3 a composite number?
False
Suppose -10 = -5*a - 0. Suppose -2*s = -3*r + 3706, 2*s - s - 2480 = -2*r. Is a/9 - r/(-18) a prime number?
False
Suppose -2*q + 25 = 95. Let n = -12 - 4. Let a = n - q. Is a a composite number?
False
Let c(z) = 4*z - 8. Let u be c(8). Suppose -3*o + 0 = -3*w - u, -4*o = 3*w - 60. Let a = -2 + o. Is a a prime number?
False
Let b = -452 + 823. Is b a composite number?
True
Let w(n) = -8*n - 3 + 3*n**2 - 10*n**2 + 2 - n**3. Is w(-6) a composite number?
False
Let b = 58 + 9. Is b a prime number?
True
Let o = -8 + 6. Let q be -1*o/(-3)*3. Is 19/(q*3/(-42)) a composite number?
True
Let c(v) = v**2 - 8*v + 15. Let g be c(6). Suppose -6*j + 1316 = -2*j + 4*o, 0 = g*j - 5*o - 1003. Is j prime?
True
Let y(c) be the second derivative of -c**5/20 + 7*c**4/12 + 4*c**3/3 + 9*c**2/2 + 4*c. Is y(7) a composite number?
True
Let b(y) = -3*y**3 - 6*y**2 - 6*y - 5. Is b(-4) a composite number?
True
Let h = 241 + -167. Is h a composite number?
True
Let q be -25 + (0 - 2/(-1)). Let v = q + 32. Let a = v - 3. Is a a composite number?
True
Let r(o) = 170*o + 1. Let g(s) = 339*s + 3. Let l(u) = -2*g(u) + 5*r(u). Let j be l(1). Suppose 0*k + k = 2*t - 58, 4*k = -5*t + j. Is t a composite number?
False
Suppose x - 2 + 27 = 0. Let b(g) = 3*g**3 - g**2 - 1. Let t be b(3). Let h = t + x. Is h a prime number?
False
Let y = 8 - 9. Is y*3/(3/(-23)) a composite number?
False
Suppose 70 = m + r, 0*r + 20 = -4*r. Let w = m - -84. Is w a prime number?
False
Let r be 6/(-21) - 430/14. Let h be (-1 + 2)/(4/(-208)). Let v = r - h. Is v composite?
True
Suppose -1 = -4*p + 7. Is ((-10)/30)/(p/(-2694)) a prime number?
True
Let m be -6*1*29/(-2). Let t = 146 - m. Is t a prime number?
True
Let z be 4/10*(-6 - 4). Let g = 4 + z. Suppose g = -3*m - i + 104, 0*i = -4*m + 4*i + 128. Is m prime?
False
Let q = -374 + 559. Is q a composite number?
True
Suppose -3 - 7 = -2*k. Let j be 5 + (-2 - -1 - 1). Suppose 0*v - 70 = -k*v + b, -j*v - 2*b = -42. Is v a composite number?
True
Let r(c) = 130*c - 3. Let u be r(3). Let a = -200 + u. Let v = a - 104. Is v composite?
False
Suppose 0 = 2*z - 6*z + 1028. Is z prime?
True
Is (-7*1)/(4/(-188)) a composite number?
True
Suppose 2*j = -s + 3089, 3*j - 5*s - 4722 = -108. I
|
{
"pile_set_name": "DM Mathematics"
}
|
1
Which is the biggest value? (a) -1 (b) 11 (c) 0.1 (d) 0 (e) -6
b
What is the second smallest value in -688, -0.4, -0.2?
-0.4
What is the fifth smallest value in -4, -7, 4/3, 112, -1/4?
112
What is the fifth smallest value in 5, -2/17, -0.3, -0.1, -3/14?
5
Which is the second smallest value? (a) -1/5 (b) -0.081 (c) 3 (d) -2/5
a
What is the second biggest value in 250, 0.02, -4?
0.02
Which is the third biggest value? (a) -0.01 (b) -0.5 (c) -8/11 (d) -0.12 (e) 2/11
d
Which is the second smallest value? (a) -174 (b) 0 (c) -5
c
What is the smallest value in 3/2, -0.06, -3.4?
-3.4
What is the second smallest value in 2/15, -6, 0.3, 1/3?
2/15
Which is the smallest value? (a) 2/3 (b) -63 (c) 0.52
b
What is the biggest value in -2, -3/20, 2/3, 1?
1
What is the second smallest value in 2/5, -13, -0.04?
-0.04
What is the fourth biggest value in -0.3, 2/27, 1/5, -0.4?
-0.4
What is the smallest value in -1/5, -3.52, 1/4?
-3.52
Which is the second smallest value? (a) -2/65 (b) -1 (c) -0.3 (d) 3/5
c
Which is the biggest value? (a) 1/3 (b) 1021 (c) -2
b
Which is the fourth smallest value? (a) 1 (b) 5 (c) -2.6 (d) -1/7
b
Which is the third biggest value? (a) 0 (b) 69 (c) 5/3
a
What is the second biggest value in 4, -1/9, 1.2?
1.2
What is the fourth smallest value in -2/9, 11, 4, 14?
14
What is the second smallest value in 7, -36, -5?
-5
What is the third smallest value in 33.6, -0.4, -1, 0.4?
0.4
What is the second smallest value in -146, 3, 0.02, -3/5?
-3/5
Which is the second smallest value? (a) -1 (b) -332 (c) 3
a
What is the second smallest value in 3.7, 2/47, 3/8?
3/8
Which is the smallest value? (a) -14/39 (b) -5 (c) 2
b
Which is the second smallest value? (a) 3.6 (b) -2 (c) -0.1 (d) 0.2
c
Which is the third smallest value? (a) 120.4 (b) 1 (c) -0.5
a
What is the third biggest value in 0, -1, -2/11, 0.5?
-2/11
What is the third biggest value in -1/4, 5, -0.5, -177?
-0.5
What is the biggest value in -1/2, 22/157, -2/13?
22/157
Which is the fifth biggest value? (a) 1/5 (b) 3/7 (c) 1 (d) -7 (e) -3/7
d
What is the biggest value in -0.49, -8, 4?
4
What is the third biggest value in -1/6, 87, 0.5, 2/5?
2/5
What is the second smallest value in 39, 1/7, 2?
2
Which is the smallest value? (a) 0.1 (b) -5/2 (c) -3 (d) -1 (e) -4
e
What is the second smallest value in -41, 3/7, -1?
-1
What is the second biggest value in 218, -2/3, 0.5, 1?
1
What is the second biggest value in -7, 0.1, -2/5?
-2/5
Which is the third smallest value? (a) 3 (b) -0.01 (c) 2 (d) -1.1
c
Which is the fourth biggest value? (a) 0.3 (b) 2/13 (c) -2/9 (d) 0.02 (e) -1/11
e
Which is the third biggest value? (a) -0.1 (b) 0.4 (c) -1 (d) 0.17
a
Which is the third smallest value? (a) -2.7 (b) 5 (c) 0.2
b
What is the third smallest value in -2, -0.5, 1.2, 0?
0
What is the biggest value in -3/26, -3, 4?
4
What is the second biggest value in 3/29, 0.4, -0.4?
3/29
Which is the fifth biggest value? (a) -1 (b) -3 (c) 42 (d) 3/5 (e) -3/5
b
Which is the smallest value? (a) -2/13 (b) 19/10 (c) 3
a
Which is the second biggest value? (a) -3 (b) 0.1 (c) 11
b
Which is the smallest value? (a) 0.2 (b) -8 (c) 25
b
What is the second smallest value in 16, -0.4, -0.1?
-0.1
Which is the third biggest value? (a) -4 (b) 3 (c) 0.16 (d) 8 (e) 0
c
What is the second biggest value in -22, -11, 0.5, 1/4?
1/4
Which is the second biggest value? (a) -1 (b) 2/5 (c) 1/4 (d) -0.27
c
What is the smallest value in 23, -5/4, 0.18?
-5/4
What is the third smallest value in -3, 1, 2?
2
Which is the third smallest value? (a) -242 (b) -4 (c) 2 (d) 2/7 (e) -6
b
What is the smallest value in -5, -6/19, 4?
-5
Which is the third biggest value? (a) 2 (b) -2/17 (c) -7 (d) 1
b
What is the second smallest value in 4/5, -8/5, -17/2?
-8/5
Which is the second smallest value? (a) 4/3 (b) -34.1 (c) -0.2
c
What is the third biggest value in 0.21, -4, -5?
-5
Which is the fourth biggest value? (a) 2/5 (b) -1 (c) 1/9 (d) 2 (e) -5
b
Which is the fourth smallest value? (a) 0.4 (b) 3/7 (c) -0.2 (d) -2/5 (e) 2/3
b
Which is the third smallest value? (a) 2/9 (b) -2/5 (c) -556 (d) 1
a
What is the second smallest value in 3, -2/5, 3/4, -2/141?
-2/141
What is the smallest value in 1, 16, -6/11?
-6/11
What is the third smallest value in -24, 1/10, -0.4?
1/10
What is the third smallest value in -415, -2/11, -0.1, 0.2?
-0.1
What is the third smallest value in 1/5, 4, 29/2?
29/2
What is the smallest value in 11, 2, 0.2, 1/3?
0.2
Which is the fourth smallest value? (a) -1 (b) 3/2 (c) 2 (d) 0.3 (e) -64
b
Which is the biggest value? (a) -35 (b) -2 (c) -1
c
Which is the third smallest value? (a) 1 (b) -0.4 (c) -1/5 (d) -1
c
What is the biggest value in 0.4, -19, 1, 1/4?
1
What is the fourth biggest value in -3, 3/5, -1, 36?
-3
What is the fourth biggest value in -62, -0.2, -3/8, 0.1?
-62
What is the second smallest value in -1/3279, -1/4, -2?
-1/4
Which is the third smallest value? (a) -0.6 (b) 1/11 (c) 0
b
What is the biggest value in 0.1, 0.4, -104?
0.4
Which is the fourth smallest value? (a) -0.1 (b) 8 (c) -0.3 (d) 2/3 (e) 4
e
Which is the biggest value? (a) -3 (b) -4 (c) -0.5 (d) 1
d
What is the biggest value in 0.1, -13, 6?
6
Which is the fourth smallest value? (a) -22 (b) 0.5 (c) 3 (d) -0.5
c
What is the third biggest value in -2/37, -3, 3, -1/2?
-1/2
Which is the third biggest value? (a) 94 (b) -2/9 (c) -0.5 (d) -5
c
Which is the smallest value? (a) 0.01 (b) 1/4 (c) 4 (d) 1
a
Which is the second biggest value? (a) 187 (b) -1/2 (c) 0 (d) 2/7
d
Which is the fourth smallest value? (a) 20 (b) -1/4 (c) 0.1 (d) 1 (e) -1
d
Which is the second biggest value? (a) 6 (b) 2 (c) -0.3 (d) 36/13
d
What is the second smallest value in -0.179, 0.08, 0.4, 4?
0.08
Which is the third smallest value? (a) 0 (b) 3 (c) -1 (d) -0.1 (e) -0.7
d
What is the fourth smallest value in 8, -4/9, -2, 119?
119
Which is the third biggest value? (a) -28.7 (b) 14 (c) 0.1 (d) 0
d
Which is the fourth biggest value? (a) 0 (b) -1/54 (c) 2 (d) -5 (e) 0.3
b
What is the second smallest value in 0.3, -9, 0.2, 18?
0.2
Which is the third biggest value? (a) 1 (b) -0.0721 (c) 2/15
b
Which is the second smallest value? (a) 4 (b) -3.6 (c) 0.2
c
What is the third biggest value in 2, 1/4, -0.1, 17?
1/4
What is the second biggest value in 3, 0.2, -3, -3/5, -2/3?
0.2
What is the second smallest value in -0.091, -0.03, -0.2?
-0.091
Which is the second biggest value? (a) 1/4 (b) -0.4 (c) -762/5
b
What is the smallest value in -82, -35, 1/9?
-82
Which is the third biggest value? (a) 7 (b) -1 (c) 0.2
b
Which is the fourth smallest value? (a) 1/6 (b) 2/5 (c) 0 (d) 22/9
d
Which is the fourth biggest value? (a) 2 (b) 0 (c) 0.1 (d) -1 (e) 156
b
What is the second biggest value in 3, 9, 0.35, -1/4?
3
Which is the second biggest value? (a) -50 (b) 2/11 (c) 0.4 (d) -3
b
What is the third biggest value in -3, -2.43, 2/7?
-3
Which is the fifth biggest value? (a) 3/5 (b) 2/5 (c) 4/3 (d) 2/11 (e) -2/3
e
What is the third smallest value in 5, 0, -2.2?
5
What is the fifth biggest value in 2/7, -1, -9, 0, -17?
-17
Which is the fourth biggest value? (a) -5 (b) 2 (c) -2/3 (d) 0.53
a
What is the fourth biggest value in -7, -49, -0.06, 1/4?
-49
What is the smallest value in 2/5, -0.14, 0.5, 4, 0?
-0.14
What is the second smallest value in -2/25, 2, 3/43, -3, -0.1?
-0.1
What is the second biggest value in -1/4, -1/8, 9.7, -3/2, 2/9?
2/9
What is the third smallest value in -77, 1/2, 5/6, 4/5, -5?
1/2
What is the biggest value in 0.4, 162, -2.6, -3/2, -5?
162
Which is the second biggest value? (a) 16 (b) -2/9 (c) -2/3 (d) -19 (e) 0.5
e
Which is the fifth biggest value? (a) 0.1 (b) -0.1 (c) 1/3 (d) -0.2 (e) 316
d
What is the third biggest value in 0.1, 12, -6, -0.3?
-0.3
Which is the second smallest value? (a) -0.1 (b) 5 (c) 4
c
Which is the second smallest value? (a) 0.13 (b) 4 (c) -4/3
a
Which is the third biggest value? (a) 27/4 (b) -4 (c) -2/5
b
What is the second biggest value in 53, -4, -3?
-3
Which is the third smallest value? (a) -184 (b) 3 (c) 0.3 (d) 5/2 (e) -6/7
c
Which is the biggest value? (
|
{
"pile_set_name": "DM Mathematics"
}
|
vided by 6.
-2581/6
Divide 371 by 53.
7
1516 divided by 379
4
What is 14424 divided by 601?
24
What is -70 divided by -70?
1
Divide 80 by 80.
1
Divide -31 by -283.
31/283
What is -1 divided by -162?
1/162
Calculate -525 divided by 175.
-3
Divide -7110 by 1422.
-5
24864 divided by 74
336
-5 divided by -5760
1/1152
-4506 divided by 751
-6
What is -586 divided by -1?
586
What is -100 divided by -20?
5
-871 divided by 871
-1
What is -2 divided by -41?
2/41
-5 divided by -20
1/4
Calculate -504 divided by 168.
-3
What is 182 divided by -7?
-26
Divide 74 by 5.
74/5
-5 divided by 19
-5/19
Calculate 207 divided by 1.
207
Divide 1660 by -166.
-10
-15 divided by -19
15/19
Calculate 38171 divided by -779.
-49
-837 divided by -3
279
5 divided by 30
1/6
What is 434 divided by 1?
434
What is 4 divided by 3261?
4/3261
What is -88 divided by -4?
22
165 divided by 2
165/2
What is 9507 divided by 3?
3169
Calculate -3224 divided by 1.
-3224
Divide -3 by -148.
3/148
Calculate -4 divided by -1953.
4/1953
Divide -18502 by 3.
-18502/3
Calculate 1503 divided by -9.
-167
Divide -3 by -96.
1/32
Divide 1844 by -4.
-461
Divide 4 by 4.
1
75 divided by -15
-5
Divide -78 by 5.
-78/5
Calculate 111 divided by -3.
-37
What is -416 divided by 6?
-208/3
What is 9656 divided by -2?
-4828
Divide 4 by 187.
4/187
What is 498 divided by 166?
3
Calculate 3 divided by 1528.
3/1528
Divide -5 by -357.
5/357
6392 divided by -94
-68
0 divided by -26
0
-1735 divided by 5
-347
Divide 75 by -5.
-15
What is 2 divided by -4265?
-2/4265
What is 766 divided by -3?
-766/3
956 divided by -4
-239
What is -3 divided by -13?
3/13
Divide 5 by 15.
1/3
What is -1 divided by -28?
1/28
Divide 28 by 21.
4/3
Calculate -126930 divided by -3.
42310
What is 5154 divided by -2?
-2577
Calculate 138 divided by -4.
-69/2
Divide 46 by 2.
23
Calculate -196 divided by -3.
196/3
Calculate -888 divided by -2.
444
Divide -2 by -107.
2/107
What is -9732 divided by -2433?
4
2 divided by -30
-1/15
464 divided by -232
-2
2719 divided by -1
-2719
-85 divided by 5
-17
Divide -630 by 90.
-7
Calculate 0 divided by -97.
0
Divide -464 by -29.
16
Calculate -17 divided by -94.
17/94
What is 104 divided by -24?
-13/3
What is 111 divided by 37?
3
What is -463 divided by -3?
463/3
Calculate -1 divided by -264.
1/264
What is -19481 divided by -2783?
7
What is -7 divided by -144?
7/144
Divide 300 by -6.
-50
Divide 405 by -135.
-3
What is 835 divided by -5?
-167
16 divided by -42
-8/21
Divide 2954 by 211.
14
Divide 2082 by -694.
-3
Divide -1392 by 464.
-3
What is 1563 divided by 2?
1563/2
Calculate 45 divided by -9.
-5
Divide -119 by -1.
119
What is -206 divided by 103?
-2
Divide -7368 by 1842.
-4
What is -1 divided by -27?
1/27
Divide 42 by -42.
-1
9825 divided by -393
-25
Calculate -245 divided by -5.
49
0 divided by -360
0
Calculate -4 divided by 130.
-2/65
What is 33924 divided by 257?
132
Calculate 84 divided by -11.
-84/11
Divide 760 by -2.
-380
Divide 2 by 4505.
2/4505
6972 divided by -4
-1743
Calculate 38 divided by -19.
-2
Divide 17 by 17.
1
1835 divided by 6
1835/6
Divide 1 by -1660.
-1/1660
What is -4 divided by -678?
2/339
Calculate -9246 divided by 2.
-4623
What is 6365 divided by 19?
335
2 divided by -200
-1/100
What is 0 divided by -1313?
0
What is -305 divided by 61?
-5
Calculate 1332 divided by -333.
-4
What is -1172 divided by 1?
-1172
What is -622 divided by -3?
622/3
Calculate -127 divided by 7.
-127/7
Calculate 246 divided by 82.
3
Calculate 5373 divided by 9.
597
What is -576 divided by 4?
-144
Calculate 32955 divided by 1.
32955
What is -5 divided by -147?
5/147
Calculate -11 divided by 1.
-11
-3 divided by -313
3/313
-1 divided by -73
1/73
Divide -12 by 37.
-12/37
Divide -45 by -1.
45
Divide 391 by -6.
-391/6
7 divided by -32
-7/32
What is -110 divided by 2?
-55
-2 divided by -57
2/57
Divide -1880 by -188.
10
Calculate -184 divided by -1.
184
Calculate -4 divided by 64.
-1/16
1 divided by -86
-1/86
What is -139 divided by 32?
-139/32
-17680 divided by -4420
4
Divide -842 by 842.
-1
What is 24024 divided by 2?
12012
What is -124 divided by 4?
-31
What is -580 divided by 1?
-580
Divide -31 by -1.
31
Calculate 60 divided by 5.
12
What is -1 divided by -4719?
1/4719
Calculate -10325 divided by 413.
-25
What is 360 divided by -9?
-40
What is 4980 divided by -83?
-60
3 divided by 266
3/266
Calculate -32032 divided by 11.
-2912
-3 divided by 2641
-3/2641
Calculate -13248 divided by -6.
2208
52 divided by -2
-26
Calculate -6398 divided by 14.
-457
What is 11784 divided by 4?
2946
Divide -2820 by -6.
470
Divide -6 by -22.
3/11
-1470 divided by 294
-5
What is -10230 divided by 3?
-3410
Calculate -102048 divided by 6.
-17008
Divide -10900 by -218.
50
What is -408 divided by 12?
-34
Divide -3348 by 1674.
-2
Calculate -6 divided by 1.
-6
What is -1806 divided by 3?
-602
What is 84 divided by -21?
-4
What is -98 divided by -7?
14
Calculate -46 divided by 69.
-2/3
Divide -72 by 12.
-6
272 divided by 2
136
Calculate 4968 divided by -184.
-27
What is 311 divided by 4?
311/4
Calculate 6413 divided by -4.
-6413/4
What is -10 divided by -28?
5/14
What is -270 divided by 5?
-54
12 divided by -164
-3/41
Calculate -99 divided by 9.
-11
What is 8 divided by -97?
-8/97
What is 595 divided by 2?
595/2
Calculate -3 divided by 6532.
-3/6532
What is 2625 divided by -525?
-5
1152 divided by -3
-384
-1895 divided by -5
379
What is -3462 divided by -6?
577
58530 divided by 6
9755
What is 427 divided by -8?
-427/8
2395 divided by 479
5
-90 divided by 2
-45
Calculate 10843 divided by 3.
10843/3
Calculate 2236 divided by 43.
52
Calculate 1296 divided by -72.
-18
Divide -1128 by 188.
-6
Divide -423 by 3.
-141
Divide 1640 by -20.
-82
Calculate -13 divided by -13.
1
What is -1745 divided by 5?
-349
What is 3183 divided by -1061?
-3
Calculate 450 divided by 90.
5
Calculate 6902 divided by 203.
34
3 divided by 317
3/317
48 divided by -8
-6
Divide 12696 by 4.
3174
168 divided by 8
21
Divide -56 by -13.
56/13
Divide -5 by 24.
-5/24
What is -1 divided by -500?
1/500
What is 22 divided by 6?
11/3
Divide -7245 by 1449.
-5
Calculate -109 divided by -6.
109/6
Calculate -265 divided by -265.
1
-105 divided by 5
-21
What is -3509 divided by -5?
3509/5
What is 46 divided by 2?
23
141 divided by 22
141/22
Calculate 1730 divided by -5.
-346
-765 divided by -9
85
What is 8 divided by -22?
-4/11
Divide -395 by -5.
79
What is -1580 divided by 3?
-1580/3
11 divided by -227
-11/227
Divide -3 by -440.
3/440
What is -3 divided by 99?
-1/33
What is -8056 divided by 212?
-38
What is 7 divided by 42?
1/6
What is 4 divided by -60?
-1/15
Calculate 5 divided by -101.
-5/101
Calculate 21 divided by 7.
3
What is -23 divided by 31?
-23/31
Divide -1752 by 438.
-4
Calculate -209 divided by 8.
-209/8
What is -1181 divided by -2?
1181/2
What is 4 divided by -442?
-2/221
What is 913 divided by -6?
-913/6
Divide -828 by 6.
-138
Divide 46 by -2.
-23
-6042 divided by 2014
-3
Calculate -3030 divided by 606.
-5
What is -2280 divided by 3?
-760
What is 60 divided by -6?
-10
Calculate -155 divided by -3.
155/3
What is 114 divided by 114?
1
Divide -12 by -4.
3
What is 208 divided by 208?
1
Calculate 0 divided by 25.
0
4 divided by -3858
-2/1929
4 divided by 514
2/257
What is 2399 divided by 1?
2399
-184 divided by -92
2
32 divided by -2
-16
13788 divided by 2298
6
Calculate -6725 divided by -5.
1345
What is 420 divided by -30?
-14
1584 divided by 6
264
1980 divided by -396
-5
516 divided by -129
-4
Calculate -7 divided by -217.
1/31
0 divided by -370
0
-133 divided by -133
1
Calculate 4165 divided by -5.
-833
Divide 281 by 281.
1
703 divided by 37
19
-3 divided by 3
-1
Calculate 2296 divided by -4.
-574
What is 21338 divided by -3?
-21338/3
Calculate 10 divided by -466.
-5/233
Calculate 3638 divided by -1.
-3638
Calculate -24 divided by -19.
24/19
What is -72 divided by 464?
-9/58
4221 divided by 9
469
What is 114 divided by 114?
1
What is 3 divided by -11?
-3/11
Calculate -76 divided by -19.
4
Divide 1920 by -192.
-10
What is 1764 divided by 4?
441
What is 0 divided by -44?
0
Divide 2 by -1.
-2
-5092 divided by 4
-1273
7272 divided by 2
3636
Divide -70 by 3.
-70/3
Divide 4921 by 259.
19
Divide -737 by -1.
737
Divide -800 by 80.
-10
Divide 16 by -1513.
-16/1513
Divide 102 by 3.
34
What is -
|
{
"pile_set_name": "DM Mathematics"
}
|
r of 67/4 and d.
8
Let q be 4/(-4) + 113 + -2. Suppose 6*v - v - q = 0. Let i = 24 - 12. Calculate the lowest common multiple of v and i.
132
Let x = 11395/9 - 1263. Let c = 12 - 10. Find the common denominator of x and -1*c - (-348)/(-96).
72
Let s(q) = q + 17. Let v be s(-15). Suppose -v*o + 1 = -5. What is the least common multiple of 8 and o?
24
Suppose 0 = 3*h + 10 - 1. Calculate the common denominator of 126*(-2)/60*h and (-57)/16*((-102)/(-42) + -3).
140
Calculate the common denominator of -7 + 13 - (-67)/(-28) and 59/161.
644
Let s(x) = 5*x - 10. Let g(k) = -2*k + 5. Let n(l) = -13*g(l) - 6*s(l). Calculate the least common multiple of 8/(-2)*(0 - 2) and n(-4).
88
Let y(j) be the third derivative of 5*j**4/12 - j**3/2 - 11*j**2. Calculate the lowest common multiple of y(3) and 27.
27
Find the common denominator of 428/(-21)*(-126)/336 and 61/20.
140
Suppose 2*n + 39 = 2*w - 51, 3*w = -2*n + 120. Calculate the lowest common multiple of 10 and w.
210
Suppose 4*m - 23 - 1 = 0. Calculate the lowest common multiple of m and ((-4 - 18) + -2)/(-2).
12
Let i(l) = 153*l**2 - 7*l + 7. Let y be i(-4). Let f = y + -64499/26. What is the common denominator of -1 + 55/(-6) + 0 and f?
78
Suppose 26*y = -141 + 661. Calculate the lowest common multiple of y and 150.
300
Suppose 8*b - 5*b - 644 = -r, 2496 = 4*r - 4*b. What is the smallest common multiple of 2 and r?
1258
Let s be ((-4)/(-32))/((-10)/(-465005)). Let i = s + -5815. Calculate the common denominator of -9/164 and i.
656
Suppose t - 85 = -4*t. Let d = 1 - 11. Let f = d + t. What is the lowest common multiple of f and 11?
77
Suppose 3 = 2*a + 13, 2*a - 10130 = 5*s. Let v = s - -706. Let g = -15835/12 - v. Calculate the common denominator of g and 59/10.
60
What is the lowest common multiple of 4/((-36)/21)*-3 and 3/(-6) + 39/6?
42
Let k be 2/7 + (-4247136)/728. Let p = k + 409333/78. Let b = p - -28333/48. What is the common denominator of b and 33/8?
16
Let g be -27 - 1 - (-2 - 3). Let f = 25 + g. Calculate the lowest common multiple of f and 22.
22
Let o = 163/76 - 5/4. Find the common denominator of o and -13/5.
95
Let r = 31/442 + 9837/14144. What is the common denominator of -51/56 and r?
448
Suppose 6*x + x + 48363 = 0. Let o = -124285/18 - x. Calculate the common denominator of o and 25/16.
144
Let c(b) = 2*b**2 - 21*b + 6. What is the lowest common multiple of 8 and c(-4)?
488
Let t = 36 - 28. Let z(x) = t - x - 13*x + 10*x + 3*x. Calculate the smallest common multiple of 18 and z(3).
90
Let v = 39 - -26. Calculate the common denominator of ((0 - -3) + 0)/(10/v) and 87/2.
2
Let v = 66 + -66. Suppose -1 = -y, -5 = -m - v*y + 3*y. What is the lowest common multiple of m and 8?
8
Let v = -246 - -247. What is the smallest common multiple of 10 and v?
10
Let y = -41/72 - -53/18. What is the common denominator of y and 21/263?
2104
Suppose 0 = 8*b + 1 - 49. What is the lowest common multiple of b and 66?
66
Calculate the lowest common multiple of 96 and ((-12)/(-9) - -12)/(4/18).
480
Let s = -5544681/278 - -19945. Find the common denominator of -95/6 and s.
834
What is the common denominator of 2546/228*(-1)/(-5) and 51/10?
30
Let t(i) = 2924*i**3 + 11*i - 10. Let z be t(1). Let h = 40975/14 - z. Let u = 10/203 - -6985/2436. What is the common denominator of h and u?
84
Suppose 5*v = -20 - 0. Find the common denominator of 19/2 and ((-2145)/54)/11 - v.
18
Find the common denominator of (-1064)/(-182)*(-2 + 25/12) and 34/3.
39
Let v be 1 - -1 - 1 - -1. Find the common denominator of -31 and 1 + v + (-7)/(-4).
4
Suppose -4*h - 198 - 62 = 0. Let p = h - -77. What is the lowest common multiple of p and 32?
96
Suppose 48 - 12 = 12*z. What is the lowest common multiple of 30 and z?
30
Let m = 45/623 + 5916/3115. Calculate the common denominator of m and 41/7.
35
Suppose 0 = 4*d - 101 + 1. Calculate the least common multiple of 30 and d.
150
Let x = 1/814 + -20413/51282. Calculate the common denominator of 51/28 and x.
252
Let k = -17144 - -17174. Let n(j) = j**2 - 2*j + 3. Calculate the least common multiple of k and n(5).
90
Let w = 167 - 87. Find the common denominator of 524/w - 1 - 2 and 47/36.
180
Suppose -264 = 13*s - 25*s. Let k be 75/11 + 4/22. Let y(o) = -o**2 + 10*o - 1. What is the lowest common multiple of s and y(k)?
220
Suppose t = -0*t - 1042. Let m = -4219/4 - t. What is the common denominator of m and 332/16*4/(-22)?
44
Let x(y) = -11*y + 12. Let f be x(9). Let r be f/(-27) + (-2)/9. What is the lowest common multiple of 2 and r + 10*2 + 0?
46
Calculate the common denominator of ((-2)/18)/((-56)/(-826))*2 and -47/12.
36
Let m = -9886 - -197767/20. What is the common denominator of 14/55 and m?
220
Let z(k) = 31*k + 3. Let i be z(2). What is the common denominator of 29/8 and (-519)/260 - 10/i?
40
Suppose 0 = -7*q - q + 8. What is the least common multiple of (-104)/(-6 + 2) + q and 6?
54
Let n = 10 - 114. Let u = n + 106. What is the smallest common multiple of u and 14?
14
Suppose 6*o + 29 - 149 = 0. Calculate the smallest common multiple of 1482 and o.
14820
Suppose -7*p - 3*v = -2*p + 2, 3*p - 2*v = 14. Let y(r) = r**3 + 9*r**2 + 4*r + 20. Calculate the smallest common multiple of y(0) and p.
20
What is the common denominator of (-17 + 1848/110)/((-302)/95) and -19/6?
906
Suppose -42 = 5*r - 12. What is the lowest common multiple of 2 and 120/21 + r - (-86)/7?
12
Suppose 0 = 4*m + 5*m - 90. Suppose 5*h - 3 = -4*d + m, 1 = 2*d - 3*h. What is the smallest common multiple of d and 7?
14
Let l be (-3*(-863)/12)/(-74). Let s = 3/74 + l. Calculate the common denominator of 2 + 1 + 76/(-9) and s.
72
Suppose -7*g + 30 = -4*g. Suppose 5*r + 5*x = 30, 0 = r + 2*r - 4*x + 10. Let c = 0 + r. Calculate the least common multiple of c and g.
10
Suppose 0 = 2*a + 2*d - 270, -11*a = -15*a + 5*d + 540. Calculate the lowest common multiple of 45 and a.
135
Let d = -2082 - -12641/6. Suppose -2*k = -5*w - 68, -8 = -2*k + 3*w + 52. Calculate the common denominator of (-278)/k + 0 + -1 and d.
12
Let k = -71531/51770 - 9/1670. Find the common denominator of -27 and k.
31
Let w(v) = 3*v**2 + 5*v + 2. Suppose -68 = 17*j - 306. Suppose 30*r = 31*r - j. Calculate the least common multiple of r and w(-3).
14
Suppose -5*x + 88 = -3*o - 18, -4*x = -2*o - 84. Calculate the smallest common multiple of 12 and x.
60
Find the common denominator of (-1681)/615 + (-4)/(-3) and 19/24.
120
Let t = -39 - -43. Let o(v) = v**3 - 5*v**2 + 7*v - 8. Calculate the lowest common multiple of 8 and o(t).
8
Let i(p) = -p - 7. Let x be i(-5). Calculate the common denominator of 29/7 - 0 - 0 and (-36)/(x - 12/9).
35
Let a(y) = 6*y**2 + y. Let v be a(-1). Suppose -v*n = -n - 3*s - 40, 5*n - 3*s - 47 = 0. Calculate the smallest common multiple of n and ((-234)/65)/(2/(-5)).
63
Let u = 1843/4 - 463. Let v be 2*((-9)/3 + 2). Find the common denominator of (-17)/(-7) + v + 660/175 and u.
20
Find the common denominator of -1 + 107/(-12) + -37 + 35 and -43/4.
12
Suppose -r + 5*v = 2 + 7, -5*v + 20 = 0. Let p = -6 + r. Suppose -14 + 2 = 4*i, -4*y + p*i = -43. What is the lowest common multiple of 11 and y?
77
Suppose -5*u = -b - u - 2, -5*b + 35 = -5*u. Let t(w) = -w**2 - 6*w - 3. Let y(m) = -m + 2. Let k be y(7). Calculate the lowest common multiple of t(k) and b.
10
Let n(a) = 7*a**2 + a + 1. Let t be n(-1). Suppose -t + 28 = 3*m. What is the smallest common multiple of m and (-2)/(-6)*11*3?
77
Let h be -1*3/(-6) - 58/(-4). Suppose h*w + 82 - 442 = 0. Calculate the least common multiple of w and 27.
216
Suppose -5*k = -25, -4*k + 52 - 20 = -y. Calculate the common denominator of 172/(-18)*18/y and 5/2 + 1/(-3).
6
Let z = -73/267679 + 2754718315/123667698. Let u = 297/14 - z. Calculate the common denominator of 1/30 and u.
330
Find the common denominator of 61/5 and 272/(-340)*(-31)/(-104).
130
Let j = 1/2193 - 7067/1462. Find the common denominator of (270/(-16))/(-3) + 2 and j.
24
Suppose 8*v - 9*v = 0. Suppose 0 = 4*l - v*l + 36. Let i = 17 + l. Calculate the least common multiple of 4 and i.
8
Suppose -4*j + 5 + 7 = 0, -5*j + 50 = y. Let v = -29 + y. What is the least common multiple of 47 and v?
282
Let m = 6 - 5. Calculate the least common multiple of 21 and m/5 + 2 + (-136)/(-20).
63
Suppose 10*l - 220 = 5*l. Suppose 2*p + l
|
{
"pile_set_name": "DM Mathematics"
}
|
git of 4105?
1
What is the tens digit of 35825?
2
What is the hundreds digit of 481?
4
What is the thousands digit of 107208?
7
What is the ten thousands digit of 48296?
4
What is the thousands digit of 4116?
4
What is the hundreds digit of 1001?
0
What is the thousands digit of 2800?
2
What is the units digit of 3032?
2
What is the units digit of 7645?
5
What is the units digit of 204111?
1
What is the tens digit of 40064?
6
What is the units digit of 385?
5
What is the hundreds digit of 2153?
1
What is the thousands digit of 1233?
1
What is the units digit of 1176?
6
What is the ten thousands digit of 154930?
5
What is the hundreds digit of 411?
4
What is the hundreds digit of 2310?
3
What is the units digit of 6497?
7
What is the thousands digit of 1762?
1
What is the hundred thousands digit of 178181?
1
What is the units digit of 519?
9
What is the thousands digit of 54048?
4
What is the units digit of 5801?
1
What is the tens digit of 34115?
1
What is the units digit of 879?
9
What is the hundreds digit of 13467?
4
What is the hundreds digit of 343?
3
What is the ten thousands digit of 14763?
1
What is the tens digit of 810?
1
What is the tens digit of 2365?
6
What is the hundreds digit of 182396?
3
What is the units digit of 899?
9
What is the thousands digit of 10825?
0
What is the tens digit of 1706?
0
What is the thousands digit of 20346?
0
What is the ten thousands digit of 38019?
3
What is the thousands digit of 2281?
2
What is the units digit of 57635?
5
What is the thousands digit of 26382?
6
What is the units digit of 820?
0
What is the tens digit of 3306?
0
What is the tens digit of 29006?
0
What is the tens digit of 288?
8
What is the hundreds digit of 10186?
1
What is the units digit of 992?
2
What is the ten thousands digit of 12726?
1
What is the units digit of 40013?
3
What is the units digit of 54753?
3
What is the units digit of 2605?
5
What is the hundreds digit of 1349?
3
What is the tens digit of 89?
8
What is the units digit of 1097?
7
What is the thousands digit of 3366?
3
What is the thousands digit of 16118?
6
What is the tens digit of 7571?
7
What is the hundreds digit of 1943?
9
What is the tens digit of 116703?
0
What is the ten thousands digit of 11945?
1
What is the thousands digit of 5799?
5
What is the tens digit of 41951?
5
What is the hundreds digit of 1171?
1
What is the ten thousands digit of 29127?
2
What is the tens digit of 657?
5
What is the tens digit of 21653?
5
What is the thousands digit of 1763?
1
What is the thousands digit of 67764?
7
What is the tens digit of 1289?
8
What is the units digit of 972?
2
What is the thousands digit of 2848?
2
What is the units digit of 111?
1
What is the hundreds digit of 60512?
5
What is the hundred thousands digit of 139411?
1
What is the hundreds digit of 7324?
3
What is the thousands digit of 3713?
3
What is the hundreds digit of 5030?
0
What is the tens digit of 743?
4
What is the units digit of 1125?
5
What is the tens digit of 531?
3
What is the hundreds digit of 4386?
3
What is the tens digit of 2422?
2
What is the tens digit of 85383?
8
What is the hundreds digit of 7278?
2
What is the units digit of 1885?
5
What is the units digit of 10432?
2
What is the hundreds digit of 869?
8
What is the tens digit of 10835?
3
What is the hundreds digit of 3076?
0
What is the units digit of 37369?
9
What is the units digit of 568?
8
What is the units digit of 1630?
0
What is the tens digit of 1421?
2
What is the ten thousands digit of 36604?
3
What is the ten thousands digit of 40890?
4
What is the thousands digit of 46549?
6
What is the thousands digit of 17482?
7
What is the hundreds digit of 93696?
6
What is the hundreds digit of 78910?
9
What is the tens digit of 14836?
3
What is the ten thousands digit of 37730?
3
What is the thousands digit of 89627?
9
What is the hundreds digit of 1269?
2
What is the ten thousands digit of 21457?
2
What is the tens digit of 11155?
5
What is the hundreds digit of 123?
1
What is the thousands digit of 21234?
1
What is the ten thousands digit of 31019?
3
What is the units digit of 48647?
7
What is the thousands digit of 44692?
4
What is the thousands digit of 6478?
6
What is the ten thousands digit of 38669?
3
What is the hundreds digit of 40020?
0
What is the tens digit of 7801?
0
What is the thousands digit of 2779?
2
What is the ten thousands digit of 25589?
2
What is the hundreds digit of 1179?
1
What is the tens digit of 25752?
5
What is the units digit of 9134?
4
What is the tens digit of 15480?
8
What is the units digit of 3663?
3
What is the units digit of 265?
5
What is the tens digit of 83?
8
What is the tens digit of 5210?
1
What is the hundreds digit of 1614?
6
What is the tens digit of 2942?
4
What is the hundreds digit of 20055?
0
What is the thousands digit of 1684?
1
What is the units digit of 9592?
2
What is the tens digit of 196?
9
What is the units digit of 3352?
2
What is the thousands digit of 2207?
2
What is the thousands digit of 41495?
1
What is the tens digit of 232?
3
What is the hundreds digit of 1070?
0
What is the hundreds digit of 6623?
6
What is the hundreds digit of 16301?
3
What is the tens digit of 2562?
6
What is the hundreds digit of 132747?
7
What is the hundreds digit of 3331?
3
What is the hundreds digit of 43579?
5
What is the tens digit of 942?
4
What is the hundreds digit of 195?
1
What is the units digit of 715?
5
What is the hundreds digit of 825?
8
What is the hundreds digit of 136?
1
What is the hundreds digit of 28231?
2
What is the tens digit of 681?
8
What is the hundreds digit of 34324?
3
What is the tens digit of 9476?
7
What is the ten thousands digit of 13256?
1
What is the tens digit of 30533?
3
What is the thousands digit of 1662?
1
What is the tens digit of 5491?
9
What is the units digit of 3421?
1
What is the tens digit of 2579?
7
What is the units digit of 22815?
5
What is the thousands digit of 5271?
5
What is the tens digit of 2675?
7
What is the tens digit of 3271?
7
What is the units digit of 10038?
8
What is the ten thousands digit of 48033?
4
What is the tens digit of 7847?
4
What is the units digit of 5971?
1
What is the units digit of 983?
3
What is the hundreds digit of 9030?
0
What is the ten thousands digit of 52722?
5
What is the hundreds digit of 1020?
0
What is the tens digit of 249?
4
What is the tens digit of 593?
9
What is the tens digit of 65073?
7
What is the tens digit of 1080?
8
What is the units digit of 22897?
7
What is the hundreds digit of 2724?
7
What is the tens digit of 1040?
4
What is the hundreds digit of 2192?
1
What is the units digit of 2731?
1
What is the units digit of 56239?
9
What is the hundreds digit of 44196?
1
What is the hundreds digit of 16646?
6
What is the tens digit of 45957?
5
What is the units digit of 44799?
9
What is the thousands digit of 1198?
1
What is the thousands digit of 6915?
6
What is the hundreds digit of 2394?
3
What is the units digit of 11659?
9
What is the hundreds digit of 661?
6
What is the hundreds digit of 16170?
1
What is the hundreds digit of 4427?
4
What is the tens digit of 14877?
7
What is the ten thousands digit of 17009?
1
What is the hundreds digit of 127172?
1
What is the thousands digit of 1404?
1
What is the units digit of 73182?
2
What is the thousands digit of 1176?
1
What is the units digit of 7398?
8
What is the units digit of 14749?
9
What is the hundreds digit of 319?
3
What is the thousands digit of 46346?
6
What is the tens digit of 2364?
6
What is the ten thousands digit of 25785?
2
What is the tens digit of 668?
6
What is the units digit of 132?
2
What is the units digit of 13430?
0
What is the hundreds digit of 3664?
6
What is the ten thousands digit of 37181?
3
What is the ten thousands digit of 22606?
2
What is the thousands digit of 5475?
5
What is the tens digit of 477?
7
What is the tens digit of 851?
5
What is the hundreds digit of 1296?
2
What is the hundreds digit of 7497?
4
What is the tens digit of 1935?
3
What is the units digit of 4698?
8
What is the hundreds digit of 11233?
2
What is the hundreds digit of 138?
1
What is the units digit of 11000?
0
What is the hundreds digit of 1776?
7
What is the ten thousands digit of 10868?
1
What is the units digit of 11011?
1
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest 1000000.
404000000
What is 0.0000422249 rounded to 5 decimal places?
0.00004
Round 0.0474862 to four dps.
0.0475
Round 0.0000451742 to 7 decimal places.
0.0000452
What is -0.1080403 rounded to 4 dps?
-0.108
What is 0.114957 rounded to four decimal places?
0.115
What is -0.00061329 rounded to 5 dps?
-0.00061
What is 30.160519 rounded to one dp?
30.2
Round 0.00001447543 to seven dps.
0.0000145
What is 2.05771 rounded to 0 decimal places?
2
Round -26302690 to the nearest ten thousand.
-26300000
What is -1338883.4 rounded to the nearest 10000?
-1340000
What is -160.6778 rounded to 0 decimal places?
-161
What is 0.0036436153 rounded to 6 dps?
0.003644
Round -59579100 to the nearest 1000000.
-60000000
What is 55.257564 rounded to zero decimal places?
55
Round 0.000003707571 to 7 dps.
0.0000037
What is 35075.73 rounded to the nearest 1000?
35000
What is 6614160 rounded to the nearest 1000000?
7000000
What is 1847336 rounded to the nearest 100000?
1800000
Round -0.003123366 to 3 dps.
-0.003
What is 29952.4 rounded to the nearest one hundred?
30000
What is -0.00000954625 rounded to seven dps?
-0.0000095
Round 0.000001025493 to 7 decimal places.
0.000001
Round 0.00890784 to 3 dps.
0.009
Round -906135000 to the nearest 100000.
-906100000
What is 0.000003356548 rounded to six decimal places?
0.000003
What is 11146.108 rounded to the nearest one hundred?
11100
What is -13958217 rounded to the nearest ten thousand?
-13960000
Round -0.00008241747 to 7 dps.
-0.0000824
What is -0.0000052311 rounded to five dps?
-0.00001
Round -535.0181 to zero dps.
-535
Round -0.0000503019 to 5 decimal places.
-0.00005
Round -2561181 to the nearest one million.
-3000000
What is 0.09605782 rounded to four dps?
0.0961
Round 0.533972 to 2 decimal places.
0.53
Round 79690.6 to the nearest one hundred.
79700
Round 0.42161555 to 4 dps.
0.4216
What is -12300.53 rounded to the nearest ten thousand?
-10000
Round -185145.91 to the nearest 100.
-185100
What is 0.068524554 rounded to 3 dps?
0.069
Round -0.0562197 to 3 dps.
-0.056
What is 13010.176 rounded to the nearest ten?
13010
Round -5.13332 to one dp.
-5.1
Round 50112.31 to the nearest ten thousand.
50000
What is 0.01562467 rounded to five decimal places?
0.01562
Round 0.96132599 to one dp.
1
Round 21059.5 to the nearest ten thousand.
20000
Round 59.70956 to zero decimal places.
60
Round 0.0002316671 to 4 decimal places.
0.0002
What is -598396 rounded to the nearest one thousand?
-598000
Round 0.104486 to 3 dps.
0.104
What is -0.0021484292 rounded to five decimal places?
-0.00215
What is -0.0804232 rounded to three dps?
-0.08
Round -0.000739032 to 5 decimal places.
-0.00074
What is 1724.743 rounded to the nearest 10?
1720
Round 7401.303 to the nearest integer.
7401
Round 20.77671 to one decimal place.
20.8
Round -7763580 to the nearest one million.
-8000000
What is -0.027379 rounded to two dps?
-0.03
What is -6730125 rounded to the nearest one thousand?
-6730000
Round 0.214879 to one dp.
0.2
What is -214303120 rounded to the nearest one million?
-214000000
Round 0.00061577593 to 6 decimal places.
0.000616
What is 0.00253338 rounded to 6 decimal places?
0.002533
What is 225.2036 rounded to the nearest integer?
225
What is -0.3466827 rounded to 3 decimal places?
-0.347
Round -0.2336102 to four dps.
-0.2336
Round -0.000029226 to 5 decimal places.
-0.00003
What is -2.64495 rounded to one decimal place?
-2.6
What is -20.676825 rounded to zero dps?
-21
What is 20708820 rounded to the nearest 10000?
20710000
Round -13.0872 to one decimal place.
-13.1
What is 4400500 rounded to the nearest 100000?
4400000
What is 0.3429336 rounded to 4 decimal places?
0.3429
Round 47876430 to the nearest 1000000.
48000000
Round -0.00001556038 to seven dps.
-0.0000156
Round 0.0031920471 to four decimal places.
0.0032
Round 378539.4 to the nearest ten thousand.
380000
Round 39229.07 to the nearest 1000.
39000
Round -3.1656943 to 2 decimal places.
-3.17
What is -2303790 rounded to the nearest one hundred thousand?
-2300000
Round -0.0322885 to four dps.
-0.0323
What is 0.08194413 rounded to 2 dps?
0.08
Round -0.00000525377 to six dps.
-0.000005
What is 0.000133545 rounded to 3 decimal places?
0
What is 65784.816 rounded to the nearest 100?
65800
What is -5.983636 rounded to one dp?
-6
What is -0.000881663 rounded to 4 decimal places?
-0.0009
Round 0.0000002409294 to seven dps.
0.0000002
What is -0.0000007279599 rounded to 7 dps?
-0.0000007
What is -0.0207993 rounded to 4 dps?
-0.0208
Round -0.002051631 to 6 decimal places.
-0.002052
What is 10.02446 rounded to 2 dps?
10.02
What is 0.00000638941 rounded to seven dps?
0.0000064
Round -0.0891555 to 2 decimal places.
-0.09
What is 15.2552 rounded to the nearest 10?
20
Round 0.01301216 to three dps.
0.013
What is 0.018868346 rounded to four decimal places?
0.0189
What is -8816380 rounded to the nearest one million?
-9000000
Round -41.462402 to 1 dp.
-41.5
Round 0.0009508604 to five dps.
0.00095
Round -330.803 to zero decimal places.
-331
What is -0.000029696251 rounded to seven decimal places?
-0.0000297
Round 130669500 to the nearest one million.
131000000
Round -6641791 to the nearest ten thousand.
-6640000
What is 16145.1 rounded to the nearest one hundred?
16100
Round 1.047232 to three decimal places.
1.047
What is 1941.7 rounded to the nearest one thousand?
2000
Round -747262 to the nearest ten thousand.
-750000
What is -0.2015863 rounded to 2 decimal places?
-0.2
What is -0.0000207478 rounded to 7 dps?
-0.0000207
What is 27492400 rounded to the nearest ten thousand?
27490000
Round 0.688785 to 2 dps.
0.69
What is 8954.67 rounded to the nearest 10?
8950
What is -137013.7 rounded to the nearest 1000?
-137000
What is -2773.019 rounded to the nearest integer?
-2773
What is 3400.53 rounded to the nearest one hundred?
3400
What is 203.9095 rounded to the nearest ten?
200
What is -1406.696 rounded to 0 decimal places?
-1407
Round 10.52794 to one decimal place.
10.5
What is 0.0906166 rounded to four dps?
0.0906
What is 17817.737 rounded to the nearest ten?
17820
Round -118896.6 to the nearest ten thousand.
-120000
Round 3538.323 to the nearest one hundred.
3500
Round 1462.81 to 0 decimal places.
1463
Round -17529.6 to the nearest one hundred.
-17500
Round 0.000004672 to five decimal places.
0
Round -0.00029176177 to six dps.
-0.000292
What is -361658000 rounded to the nearest one million?
-362000000
Round 136956 to the nearest 100.
137000
What is 0.000108493 rounded to six dps?
0.000108
Round 0.0000026975729 to 7 dps.
0.0000027
What is -0.02508918 rounded to 4 decimal places?
-0.0251
Round -18.53021 to 0 decimal places.
-19
Round 0.00421778 to three decimal places.
0.004
Round 4978.02 to the nearest one hundred.
5000
What is -1217512 rounded to the nearest 1000?
-1218000
Round 92.0287 to the nearest ten.
90
What is -0.002759126 rounded to 5 dps?
-0.00276
Round 19737.6 to the nearest 1000.
20000
Round -0.07638048 to 2 decimal places.
-0.08
What is 0.000000379 rounded to six dps?
0
What is 2.1092 rounded to the nearest ten?
0
What is 4.427398 rounded to three dps?
4.427
What is -361254.4 rounded to the nearest 100?
-361300
Round 0.0868969 to 2 dps.
0.09
Round 531.204 to zero decimal places.
531
Round 115294500 to the nearest one hundred thousand.
115300000
What is 1.99185 rounded to one decimal place?
2
What is -43767500 rounded to the nearest one hundred thousand?
-43800000
Round -131.178539 to zero decimal places.
-131
Round 735.2929 to 1 decimal place.
735.3
Round 2518.244 to the nearest ten.
2520
What is -1214689.4 rounded to the nearest one thousand?
-1215000
What is 0.1036691 rounded to four dps?
0.1037
What is -6471056 rounded to the nearest 1000?
-6471000
What is -989188.8 rounded to the nearest one hundred?
-989200
Round 0.0004860699 to 6 decimal places.
0.000486
Round -0.000165724 to four dps.
-0.0002
What is -0.000238676 rounded to 4 dps?
-0.0002
What is 0.0003801982 rounded to five decimal places?
0.00038
Round 4.7116335 to 2 decimal places.
4.71
What is 0.01158479 rounded to 4 dps?
0.0116
Round 22400.96 to the nearest 10.
22400
Round 1498.168 to the nearest 10.
1500
What is 134.94789 rounded to the nearest integer?
135
Round 12452.94 to the nearest 100.
12500
Round -0.2580472 to 2 decimal pl
|
{
"pile_set_name": "DM Mathematics"
}
|
b?
1/6
Calculate prob of sequence aga when three letters picked without replacement from agvavvvvn.
1/252
Two letters picked without replacement from bhpbhbnbbbpbbb. What is prob of sequence bh?
9/91
Four letters picked without replacement from qawjaaqqatqea. What is prob of sequence qwaq?
1/286
What is prob of sequence tyuo when four letters picked without replacement from {o: 2, g: 2, t: 1, d: 1, u: 1, y: 1}?
1/840
What is prob of sequence pcp when three letters picked without replacement from pcpcppp?
4/21
What is prob of sequence vs when two letters picked without replacement from {g: 2, n: 1, v: 1, m: 2, s: 2}?
1/28
Two letters picked without replacement from {j: 1, r: 2}. What is prob of sequence rj?
1/3
Calculate prob of sequence nf when two letters picked without replacement from {l: 3, n: 1, f: 1}.
1/20
Two letters picked without replacement from {k: 4, q: 1, h: 3}. Give prob of sequence qk.
1/14
What is prob of sequence jxxx when four letters picked without replacement from {j: 4, x: 3}?
1/35
Four letters picked without replacement from {y: 7}. Give prob of sequence yyyy.
1
Two letters picked without replacement from {o: 1, q: 1, a: 1, i: 1, z: 1}. What is prob of sequence qz?
1/20
Calculate prob of sequence wwww when four letters picked without replacement from {w: 4}.
1
Three letters picked without replacement from {m: 1, o: 1, j: 3}. What is prob of sequence jom?
1/20
Two letters picked without replacement from xnnnxn. Give prob of sequence xx.
1/15
Two letters picked without replacement from {g: 2, o: 2, a: 1, v: 1, s: 2}. What is prob of sequence gv?
1/28
Calculate prob of sequence bhp when three letters picked without replacement from hpbpahbap.
1/42
Three letters picked without replacement from sppppspppppspspppsp. Give prob of sequence pps.
455/2907
Two letters picked without replacement from iybjgjayiibibjj. Give prob of sequence yi.
4/105
What is prob of sequence zp when two letters picked without replacement from {a: 1, u: 1, o: 1, z: 2, p: 2, l: 1}?
1/14
Two letters picked without replacement from xxtxxxtttottotzxxx. What is prob of sequence xt?
28/153
Three letters picked without replacement from nnne. What is prob of sequence nne?
1/4
Calculate prob of sequence ooo when three letters picked without replacement from cccoccoocooc.
1/22
What is prob of sequence nzu when three letters picked without replacement from {u: 4, m: 2, k: 1, z: 1, n: 2}?
1/90
Three letters picked without replacement from {d: 2, m: 7, z: 1, k: 1, n: 4}. Give prob of sequence nnd.
4/455
Calculate prob of sequence yujj when four letters picked without replacement from {j: 3, u: 5, y: 3}.
1/88
Four letters picked without replacement from {y: 2, b: 6, z: 5}. Give prob of sequence bzzy.
2/143
Calculate prob of sequence iiww when four letters picked without replacement from iwjjiijwijji.
1/297
Three letters picked without replacement from {d: 9, e: 1, y: 1, s: 3, q: 4}. Give prob of sequence edq.
1/136
What is prob of sequence lq when two letters picked without replacement from {l: 1, j: 1, z: 1, q: 1, e: 1}?
1/20
What is prob of sequence mno when three letters picked without replacement from minsnnommnsn?
1/88
What is prob of sequence ehr when three letters picked without replacement from {h: 1, e: 4, r: 3}?
1/28
Four letters picked without replacement from {e: 4, g: 6}. Give prob of sequence eeee.
1/210
Three letters picked without replacement from jjnj. Give prob of sequence jjj.
1/4
Calculate prob of sequence jp when two letters picked without replacement from cjpcjcjjjjgg.
1/22
Two letters picked without replacement from xhbebiieihhebehxhh. What is prob of sequence xi?
1/51
Four letters picked without replacement from yyyyyy. Give prob of sequence yyyy.
1
Calculate prob of sequence jeje when four letters picked without replacement from jjjjjjjjjejjeej.
11/455
What is prob of sequence xcux when four letters picked without replacement from {u: 2, x: 7, c: 2, q: 1}?
7/495
Three letters picked without replacement from addddddadjbdb. What is prob of sequence jab?
1/429
Calculate prob of sequence gg when two letters picked without replacement from {h: 1, g: 10, i: 2, x: 1}.
45/91
What is prob of sequence en when two letters picked without replacement from {z: 1, n: 3, e: 6, v: 4, g: 2}?
3/40
What is prob of sequence ee when two letters picked without replacement from errwnmnexmxm?
1/66
What is prob of sequence zzz when three letters picked without replacement from {z: 10}?
1
Calculate prob of sequence be when two letters picked without replacement from {e: 2, b: 2, x: 7, j: 1, o: 1, r: 1}.
2/91
What is prob of sequence xt when two letters picked without replacement from {l: 1, t: 1, x: 3}?
3/20
Three letters picked without replacement from wwww. Give prob of sequence www.
1
What is prob of sequence nm when two letters picked without replacement from nnnpnmemenmmnnmnmn?
3/17
Two letters picked without replacement from djmyadry. What is prob of sequence rd?
1/28
Two letters picked without replacement from {s: 1, h: 2, l: 1, q: 2, x: 1, u: 1}. What is prob of sequence xh?
1/28
Three letters picked without replacement from zznovcd. Give prob of sequence dcn.
1/210
Two letters picked without replacement from {o: 3, r: 3, p: 13}. What is prob of sequence op?
13/114
What is prob of sequence nx when two letters picked without replacement from xvvn?
1/12
Calculate prob of sequence sj when two letters picked without replacement from jbjbjsz.
1/14
Calculate prob of sequence bf when two letters picked without replacement from bffbff.
4/15
What is prob of sequence tvj when three letters picked without replacement from {v: 4, j: 2, t: 5}?
4/99
Two letters picked without replacement from wwswgwwww. Give prob of sequence sg.
1/72
What is prob of sequence ttct when four letters picked without replacement from ttttttttttttcccctc?
143/1224
What is prob of sequence qpv when three letters picked without replacement from {q: 4, p: 5, v: 3}?
1/22
What is prob of sequence jbxj when four letters picked without replacement from xbxjxxbj?
1/105
What is prob of sequence rc when two letters picked without replacement from {r: 4, h: 4, d: 1, t: 4, c: 1, p: 1}?
2/105
Four letters picked without replacement from xaaxxxxxaaaaaaabax. Give prob of sequence baaa.
1/102
Calculate prob of sequence ppz when three letters picked without replacement from tczcwcppczpctzc.
3/455
Two letters picked without replacement from kkppk. Give prob of sequence kp.
3/10
Two letters picked without replacement from eeeiewewwweeeeeewei. What is prob of sequence ew?
10/57
What is prob of sequence hhhh when four letters picked without replacement from {t: 5, k: 4, h: 4, a: 1, v: 5}?
1/3876
Four letters picked without replacement from aaakwyayyafa. Give prob of sequence wyfa.
1/660
What is prob of sequence jlkz when four letters picked without replacement from {j: 5, z: 3, l: 1, k: 1, n: 1, f: 1}?
1/792
Two letters picked without replacement from ultttnnnunt. Give prob of sequence nl.
2/55
Three letters picked without replacement from {h: 6, c: 1, i: 2, g: 1, l: 2}. What is prob of sequence icl?
1/330
Three letters picked without replacement from oooo. Give prob of sequence ooo.
1
Calculate prob of sequence hldh when four letters picked without replacement from wrzhzzzrhdrhlzz.
1/5460
Two letters picked without replacement from {o: 1, j: 4, s: 3}. Give prob of sequence js.
3/14
Calculate prob of sequence ssr when three letters picked without replacement from {s: 4, r: 7, m: 4}.
2/65
Calculate prob of sequence exp when three letters picked without replacement from {e: 1, c: 1, g: 1, p: 1, x: 1}.
1/60
Three letters picked without replacement from {y: 3, f: 3, u: 1}. What is prob of sequence yuu?
0
Four letters picked without replacement from {e: 1, l: 4, n: 4, w: 1, p: 2, y: 2}. What is prob of sequence nwle?
2/3003
Calculate prob of sequence wwqr when four letters picked without replacement from wqrw.
1/12
Calculate prob of sequence io when two letters picked without replacement from {i: 1, a: 1, w: 1, j: 2, o: 1, q: 2}.
1/56
Calculate prob of sequence ii when two letters picked without replacement from iiijijji.
5/14
Three letters picked without replacement from {b: 5, a: 7}. What is prob of sequence bbb?
1/2
|
{
"pile_set_name": "DM Mathematics"
}
|
x - 0*x + 15. Let v = 28 + x. What is the remainder when 23 is divided by v?
10
Let y(j) = -2*j - 2. Suppose k - v = 5*k + 25, 4*v + 20 = 0. Suppose 0 = -0*l - l + 15. Calculate the remainder when l is divided by y(k).
7
Suppose 0*f + 172 = 4*f. Let a = 27 - 12. Calculate the remainder when f is divided by a.
13
Calculate the remainder when (-24)/204 - 1056/(-17) is divided by 21.
20
Let o be 1 - 1*(0 - 2). Let w = 123 + -74. Suppose -4*z = -l - l + 22, -o*l + w = -2*z. What is the remainder when 37 is divided by l?
18
Let w(d) = 2*d**2 - d - 7. Let q(l) = -3*l - 8. Calculate the remainder when q(-7) is divided by w(3).
5
Suppose -4*q = -194 - 178. Calculate the remainder when q is divided by 12.
9
Calculate the remainder when 124 is divided by ((-21)/2)/(4/(-8)).
19
Let q = 2 - -2. Let n(v) = 4 - v - 6 + q + 6*v. What is the remainder when 35 is divided by n(2)?
11
Let u(g) = -4*g - 8. Suppose 0 = 2*k + 3 + 5, -3*k = -5*z - 63. Let m = -6 - z. Calculate the remainder when u(-6) is divided by m.
7
Suppose -m + 20 = 3*m - w, 0 = -3*m + w + 14. Calculate the remainder when 21 is divided by m.
3
Calculate the remainder when 34/3*(-24)/(-16) is divided by 7.
3
Let v(h) = 2*h**2 - 15*h - 13. Calculate the remainder when v(12) is divided by 24.
23
Let c = -9 - -18. Suppose 0 = -2*n, -4*i + 0*n + 2*n = -132. What is the remainder when i is divided by c?
6
Let n be 4/((-1)/((-9)/6)). Suppose -36 = 4*p - n*p. What is the remainder when 0 - (0 - 1 - 51) is divided by p?
16
Let t be -2 + 3 - (-3 + 0). Suppose 4*s + t = 0, 5*z = -s - 4*s + 45. Calculate the remainder when z is divided by 7.
3
Let k = -5 + -16. Let n = 47 + k. Suppose -r - 4*r + 70 = 0. What is the remainder when n is divided by r?
12
Suppose -3*g - 4*v = -53, -3*g + v = -2*g - 6. Let u = -7 + g. Suppose 0 = u*y + 14 - 82. What is the remainder when y is divided by 9?
8
Calculate the remainder when (4 + -2)/((-2)/(-19)) is divided by (-7)/((-3)/(-6)*-2).
5
Let y be ((-9)/12)/(1/(-4)). Suppose 3*b - y*n - 57 = 0, 5 = 2*b - 4*n - 41. Let z(i) = -i + 45. Calculate the remainder when z(16) is divided by b.
14
Suppose 5*f - 25 = 0, -3*t + 3*f + 4 = 1. Calculate the remainder when 143 is divided by t.
5
Suppose -5*n + 29 = -41. Suppose 45 = 4*v - 175. Calculate the remainder when v is divided by n.
13
Suppose -80 = -5*k + 5*d, k - 2*k + 3*d = -10. What is the remainder when k is divided by 7?
5
Let h(m) = 9*m - 7. Calculate the remainder when 76 is divided by h(3).
16
Let d(p) = -p**3 - p**2 + 7. Calculate the remainder when 11 is divided by d(0).
4
Suppose n - 148 = -3*n. Suppose -5*y + 3 = 3*z - 3, -y - 4 = -2*z. Suppose s = -5*q + 6*q - 12, -z*q = -s - 25. What is the remainder when n is divided by q?
11
Let i(v) = -3*v + 1. What is the remainder when 67 is divided by i(-11)?
33
Suppose -24 = -5*u + f + 135, 0 = -5*u - 3*f + 163. Calculate the remainder when u is divided by 8.
0
Let r(x) = x - 12. Let o be r(6). Suppose 4*z + 3*y = -2*y + 124, 0 = 3*z - 3*y - 66. What is the remainder when z is divided by (-3)/o*(1 + 27)?
12
Let z be (-6)/(-9) - 62/(-6). Suppose 0 = -3*f + 4*s + z, 0 = 2*f + 2*s - 0*s - 12. Suppose 56 = -a + f*a. Calculate the remainder when 41 is divided by a.
13
Let w = -2 - -21. Calculate the remainder when w is divided by 4.
3
Let k(g) = -5*g - 21. Calculate the remainder when k(-9) is divided by 13.
11
Let x = -6 + 8. Let w = 33 - x. Calculate the remainder when 59 is divided by w.
28
Suppose -23*l + 20*l + 270 = 0. Calculate the remainder when l is divided by 23.
21
Suppose -3*z + 12 = 0, -2*x - z + 3 = -5. Let k be (x/(-5))/((-1)/(-5)). What is the remainder when 46 is divided by k/(-7) - (-220)/14?
14
Let d = 17 + 55. Suppose 3*m = -m + d. Suppose -50 = 2*f - 7*f. What is the remainder when m is divided by f?
8
Let a be 4/(-6)*(7 + -1). Let c = a - -13. Suppose -j - 3*t = -16, 5*j - 31 = -4*t + 49. Calculate the remainder when j is divided by c.
7
Let q be 46/(-8) + (-2)/8. Let s be 4/(-10) - q/(-10). Let w = s - -2. Calculate the remainder when 1 is divided by w.
0
Let m = 2 - 4. What is the remainder when 1/(-1) - (m + -5) is divided by (-17)/(-5) + 39/65?
2
Let g = 39 - 20. Calculate the remainder when 35 is divided by g.
16
Let l be 522/(-33) + (-2)/11. Let s = 24 - l. What is the remainder when s is divided by 14?
12
Let j(b) = -9*b**3 + 13*b**2 + 11*b - 88. Let k(l) = 5*l**3 - 7*l**2 - 6*l + 44. Let r(c) = -6*j(c) - 11*k(c). What is the remainder when r(0) is divided by 15?
14
Let f = 142 + -86. What is the remainder when f is divided by 15?
11
Let u(r) = -r**3 + 9*r**2 - r + 11. Let k be u(9). Suppose 0 = -k*f + f + 25. What is the remainder when f is divided by 9?
7
Suppose -4*y + 3*j + 44 = 7*j, -y + 4*j - 4 = 0. What is the remainder when 31 is divided by y?
7
Let h(p) = 2*p - 2. Let u(y) = -y**3 + 20*y**2 + 30*y - 177. Calculate the remainder when u(21) is divided by h(3).
0
Suppose 8*y + 68 = 12*y. What is the remainder when 82 is divided by y?
14
Suppose -5*c + 4*c + 1 = 0, -5*q + c = -104. Let m(p) = -6*p**2 + 38*p - 1. What is the remainder when q is divided by m(6)?
10
Suppose r + 4 = 10. Let n = 18 - 14. Calculate the remainder when r is divided by n.
2
Let c = -5 + 2. Let j = c - -3. Suppose -5*p - s + 2*s + 92 = j, 5*p - 5*s - 100 = 0. What is the remainder when p is divided by 10?
8
Let i(s) = s**2 + 7*s - 7. Let o be 3/(6/(-2)) + 7. What is the remainder when i(o) is divided by 24?
23
Suppose 28 - 122 = -2*z. Calculate the remainder when z is divided by 10.
7
Let r(a) = -a + 2. Let q(t) = -t + 3. Let w(m) = -2*q(m) + 3*r(m). What is the remainder when 11 is divided by w(-4)?
3
Suppose -2*i + 5*i = 5*c + 63, -21 = -i + 4*c. What is the remainder when i is divided by 4?
1
Let z(u) = u**2 - 11*u - 2. Let s be z(11). Calculate the remainder when 3/(-1 + s) - -34 is divided by 12.
9
Let b = -7 + 3. Let p be b/(-6)*(-15)/10. Let t = 3 + p. Calculate the remainder when 3 is divided by t.
1
Suppose 23 = 3*u - 2*h, h = -u - 3*h - 11. Calculate the remainder when u is divided by 2.
1
Let t = 87 + -78. Calculate the remainder when 16 is divided by t.
7
Let y = 13 - -13. Let i = 3 - 3. Calculate the remainder when y is divided by -1*i/(-1) - -7.
5
Let u = 134 + -72. What is the remainder when u is divided by 9?
8
Let g(p) = 3*p + 19. Suppose -4*r - 3*q = -92, -3*r - 5*q = -101 + 21. Calculate the remainder when g(6) is divided by r.
17
Let x(l) = -l**2 + 10*l + 13. Suppose 4*b - 8*b = -36. Let h be x(b). Let p = h - 16. What is the remainder when p is divided by 4?
2
Let n = 14 + -5. Suppose -3*y - n = -4*y. Calculate the remainder when y is divided by 5.
4
Suppose 77 = -5*y - 3*a + a, 5*a = 2*y + 25. What is the remainder when (-6)/y - (-444)/15 is divided by 16?
14
Let r(y) = -y**3 + 20*y**2 - 14*y - 17. Calculate the remainder when r(19) is divided by 27.
24
Suppose 2*d + 5*u + 3 = 0, 5*d + u = -17 + 67. What is the remainder when d is divided by 7?
4
Let a(v) = 8*v**2 - 2*v - 1. Suppose 2*d = 3*d + 3*b - 40, -5*b = 5*d - 150. What is the remainder when d is divided by a(-1)?
7
Suppose 2*h + 975 = 15*h. Let j = 9 + 10. What is the remainder when h is divided by j?
18
Let h = 160 - 14. What is the remainder when h is divided by 21?
20
Let m(c) = -c**3 - 7*c**2 + 9*c - 2. Let q be m(-8). Let u be ((-3)/(-5))/((-2)/q). Let g = u + 4. What is the remainder when 13 is divided by g?
6
Let g(c) = -2*c**2 - c. Let r be g(1). Let k(j) = j + 7. Let l = 156 + -154. What is the remainder when k(r) is divided by l?
0
Suppose 0 = 4*w + w - 135. Suppose f = m + 16, 4*f = m + 22 + w. Calculate the remainder when f is divided by 6.
5
Let c be (-2)/(-4)*0 - -30. Let p = -6 - -14. Calculate the remainder when 11 is divided by (-2)/(-8) + c/p.
3
Let w(t) = 2*t**2 + 9*t + 28. What is the remainder when 93 is divided by w(-3)?
17
Let o(s) = -s**2 + 9*s + 2. Let t be o(8). Suppose -5*a - 60 = -t*a. Suppose -2*g + 56 = 12. What is the remainder when g is divided by a?
10
Let q(x) = x**2 + 7*x + 2. Let z be q(-6). Calculate the remainder when 6*(0 - 6/z) is divided by (-2 + 1)/1*(4 + -9).
4
Let c(z) = -z**3 - 2*z - 2. What is the remainder when c(-3) is divided by 8?
7
Suppose -v + 9 = -f - 5, 5*v + 5*f - 100 = 0. Suppose -2*i - 36 = -6*i. Calculate the remainder when v is di
|
{
"pile_set_name": "DM Mathematics"
}
|
is the tens digit of n?
1
Let x(m) = m**3 + 5*m**2 + 5. Let n be x(-5). Suppose -5*o - 4*v = 3, -n + 2 = -3*o - 4*v. What is the tens digit of 21 + o/(12/16)?
1
Suppose -456*k = -463*k + 21462. What is the thousands digit of k?
3
Let g(t) = -3*t - 2. Let n be g(-3). Suppose -50 = -n*y + 524. What is the units digit of y?
2
Suppose 2312 = 84*r - 544. What is the tens digit of r?
3
Let n be 400/(-15)*(-3)/2. What is the units digit of (-3 - 0) + 2 + n?
9
Let s be (-2)/6*3*(-2 + -1). Suppose 3*c - s*f - 10 = 11, 4*c = -2*f + 34. What is the units digit of c?
8
What is the hundreds digit of (-5302*2/10)/(162/(-405))?
6
Suppose -1353 - 126 = -3*l. What is the hundreds digit of l?
4
What is the hundreds digit of 112825/30 + 4/(-168)*-7?
7
Let o be (3 - -129)/1 - 3. Suppose -2*y + o + 13 = 0. Let u = y + -33. What is the units digit of u?
8
Suppose 0 = 5*c - 1 - 14. Let m be (-2 + c)/(1/2). What is the units digit of (1/m)/(2/140)?
5
Let g(n) = 42*n**2 + 23*n + 29. What is the tens digit of g(-4)?
0
Let a(n) = 3*n + 7. Let y be a(9). Suppose 4 - y = -m. Let k = 42 - m. What is the units digit of k?
2
What is the units digit of 508/8 + (-1)/2?
3
Suppose -93*g + 92*g = -640. What is the hundreds digit of g?
6
Let w be 90/((-2)/(-2)*1). Suppose 4*c - 81 - 64 = s, -4*s = -2*c + w. What is the tens digit of c?
3
Let i be (-8)/(-16) + (-7)/(-2). Suppose -y = -6 - i. Suppose y = 4*x + 2, 5*x + 8 = 3*a. What is the units digit of a?
6
Let a = 5 - 0. Let r(u) = -2*u**2 + 8*u + 5. Let g be r(4). Suppose -4*n + g*l - 2*l + 17 = 0, 0 = -a*n - l + 45. What is the units digit of n?
8
Suppose -4463 = -4*t - r, -6218 + 1757 = -4*t - 3*r. What is the units digit of t?
6
What is the units digit of 2712 - -6*2/6?
4
Suppose -a + 4 = -0. Let d = 15 - a. What is the tens digit of d?
1
Let m be (-4)/(-6) - 78/(-18). Suppose -78 - 197 = -m*b. What is the units digit of b?
5
Suppose 4*y + 4*d - 22783 = -1735, -15776 = -3*y - d. What is the units digit of y?
7
Suppose 2*y = 2*g - 2538, -y + 0*y + 1273 = g. What is the units digit of g?
1
Let w be 28 + 1 + 3/((-6)/4). Suppose 20 = -0*j + 4*j. Suppose 0 = u - 4*l, -2*u - j*l + 25 = -w. What is the tens digit of u?
1
Suppose 24*n + 26949 - 131109 = 0. What is the thousands digit of n?
4
Suppose 2*f - 3259 + 403 = 0. What is the thousands digit of f?
1
Let l(s) = 7*s**2 - 8*s - 10. Let b be l(-5). What is the units digit of b + 2 + 9/(-3) + -1?
3
Let f(s) = 243*s + 457. What is the units digit of f(12)?
3
Let o be 2/(-4)*0 - (-62 + 3). Let z = o + -11. What is the tens digit of z?
4
Suppose 17*q = 12*q - 350. Let r = q - -170. What is the hundreds digit of r?
1
Let i be -1*(-4)/12 + 14/(-6). Suppose -30 = 2*l - 7*l. What is the units digit of i*l*(-15)/12?
5
Let b = 2220 - 1032. What is the tens digit of b?
8
Suppose -2*q - 4 = 42. Let s(v) = -v + 22. What is the units digit of s(q)?
5
Let j = -29 + 69. What is the tens digit of 3424/j + (-6)/10?
8
Let f = -85 + 75. What is the tens digit of ((-52)/8 + -1)*f - -3?
7
Let m = -39 - -45. Suppose m*r - 38 = 1246. What is the units digit of r?
4
Let p = 734 + -76. What is the tens digit of p?
5
Let v(m) be the second derivative of -m**5/20 + m**4/4 + 5*m**3/3 - m**2/2 - 16*m. What is the units digit of v(4)?
3
Let s(j) = -9*j + 2. Suppose 5*w = -4*f + 5, 12 + 8 = f - 5*w. Let z(t) = -t**2 + 5*t - 1. Let h be z(f). What is the units digit of s(h)?
1
Let b be ((-9)/(-2))/(6/16). Let n(h) = h**2 - 9*h + 4. Let v be n(9). Let c = b - v. What is the units digit of c?
8
Suppose 5*r + 2*i - 101 = 0, -3*r + 37 + 36 = -5*i. Suppose -3*s - r + 81 = 0. Let f = s + -17. What is the units digit of f?
3
Let k = -4 - -24. Let t = 51 + k. What is the units digit of t?
1
Let h = 26 - 30. What is the tens digit of (-246)/h - (-5)/10?
6
Suppose -2*r - 4*o + 623 = -627, -4*r - 3*o = -2490. What is the hundreds digit of r?
6
Let v(p) = 12*p**2 - 9*p - 63. What is the units digit of v(-8)?
7
Suppose 0 = -4*q + 166 - 2. Let z = -32 + q. Suppose z*j = 7*j + 112. What is the units digit of j?
6
Let g be 0 - (-56 + (-2 - -1)). Let x be 22/99 - ((-5936)/9)/2. Suppose 0 = 7*z + g - x. What is the tens digit of z?
3
Let g be 311 - 4/3*9/(-6). Let b = -189 + g. What is the hundreds digit of b?
1
Let q be 2 + -201 - (-4 - -1). Let u = -59 - q. What is the units digit of u?
7
Let b(h) = 10*h**2 - 17*h + 9. Let s be b(6). What is the units digit of s/9 + 1 - 1/(-3)?
1
Let f(o) = o**3 + 13*o**2 + 10*o - 22. Let i be f(-12). Suppose -i*p = 4*m - 334, 4*p + p + 3*m = 821. What is the hundreds digit of p?
1
Suppose 3*x = 4*l + 2491, -2*x + 1660 = -3*l - 0*l. What is the units digit of x?
3
Suppose -5*q - 2463 = 2*l - 15484, -2*q = -4*l - 5194. What is the hundreds digit of q?
6
Let a(u) = 2*u**3 - 3*u**2 - 4*u - 2. What is the units digit of a(7)?
9
Suppose 546 = 4*w - 3*w + 3*z, -2*w - 4*z = -1098. What is the units digit of w?
5
Suppose 45 = 2*u - 3*u + 4*w, -u - 4*w = 29. Let k = 46 + u. What is the units digit of k?
9
What is the units digit of (-2409)/(-9) + (-6)/(-18)?
8
Let k(c) = -6*c**2 - 2*c - 2. Let d be k(-6). Let z be (-4)/14 + d/14. What is the tens digit of (z/(-10))/((-2)/(-28))?
2
Let m(k) = 1959*k**2 + 4*k - 5. What is the tens digit of m(1)?
5
Let n(z) = 104*z + 38. What is the tens digit of n(4)?
5
Let w(r) be the second derivative of 20*r**3/3 + 9*r**2 - 3*r - 1. What is the hundreds digit of w(3)?
1
Suppose -3*w = -2*z + 11019, -27542 = -5*z - w + 3*w. What is the tens digit of z?
0
Let z(v) = -27*v + 8*v - 2*v**3 + 2*v**2 + 223 + 10*v + 8*v. What is the hundreds digit of z(0)?
2
Let k be ((-4)/12*0)/2. Suppose -7*o - 2*o + 297 = k. What is the tens digit of o?
3
Suppose -i - 21 = -25. Let m(u) = 2*u**3 - 5*u**2 - u - 3. What is the tens digit of m(i)?
4
Let b(c) = -c**3 + 10*c**2 - 8*c - 8. Let p be b(9). Let y be (-2)/6*15/p. Let k = y - -15. What is the tens digit of k?
1
Suppose -3*j + 4*x - 2 = -3, -2*x = j + 3. Let i be (j/2)/(3/(-114)). Let l = i + -4. What is the tens digit of l?
1
Let f(y) = y**2 + y + 5. Let p be f(8). Let u = -28 + p. What is the tens digit of u?
4
Let t(w) be the second derivative of -w**3 - 3*w**2 - 9*w. Let n be t(-9). What is the tens digit of (-18)/7*(-896)/n?
4
Let w(v) = -9*v**3 - 6*v**2 + 6*v + 1 + 4 + 3*v**3 + 4*v**3. Let q be (3/6)/(2/(-20)). What is the units digit of w(q)?
5
Suppose 5*c - 3*h - 333 - 374 = 0, -3*c + h = -425. Let z = c - 96. Suppose 4*r - z = 10. What is the tens digit of r?
1
Suppose 0 = 3*m - 9 + 3. Suppose 0 = 2*t + 10, -5*t + 281 = m*z + z. What is the hundreds digit of z?
1
Let v = 8 - -118. Let j = v + -9. What is the tens digit of j?
1
Let h(c) = c + 3*c - 257*c**2 - 3 + 267*c**2. What is the units digit of h(-3)?
5
Let q = 32 - 16. Suppose 3*a - 171 = 2*c, a - 5*c - q = 28. What is the tens digit of a?
5
Suppose 0 = -i + 9 - 17. Let n = i + 9. What is the units digit of n?
1
Let q = 25 - 22. Suppose -5*a = 2*m - 266, -q*m + 67 = a + 2*m. What is the units digit of a?
2
Let y(u) = 2*u + 2. Suppose 0 = -4*g - 19 + 7. Let a be y(g). What is the units digit of (1/a)/(2/(-104))?
3
Suppose -109*c - 1976 = -113*c. What is the tens digit of c?
9
Let u be ((-18)/4)/((-6)/8). Suppose -m + 26 = u. What is the units digit of m?
0
Let q(n) = n**3 - 9*n**2 - 12*n - 10. Let b be q(11). Suppose b = -p + 6*p. What is the units digit of p?
0
Let d(z) be the third derivative of -z**6/120 + z**4/8 - z**3/6 + z**2. Let k be (-14)/4*2 + (-12)/(-3). What is the tens digit of d(k)?
1
Let o be (-1)/(9/2) - (-1645)/(-9). Let w = o + 283. What is the units digit of w?
0
Let w(s) = -s**3 - 3*s**2 + 6*s + 15. What is the tens digit of w(-8)?
8
Let h = 10 + -64. Let r = h + 64. What is the units digit of r?
0
Suppose -i - 9*d + 7*d = -801, -2*i - 5*d = -1606. What is the units digit of i?
3
Suppose -4*i + 7642 = 5*s, -3816 + 11440 = 5*s - 2*i. What is the hundreds digit of s?
5
Suppose -1 - 7 = -t - 4*f, 2*t + 5*f = 10. Suppose -28*w + 288 = -300. Let h = w - t. What is the units digit of h?
1
Let m = -42 + 46. Suppose c - 5 = m*o + 35, -c - o = -25. What is the tens digit of c?
2
Let i(x) be the second derivative of x**4/4 - 4*x**3/3 + x**2 + 3*x. What is the tens digit of i(-4)?
8
Suppose 0 = 4*s - 327 - 1629. What is the units digit of s?
9
Suppose 9*m + 51
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) 39 (b) -1/3 (c) 5 (d) 0
d
What is the closest to 6 in -3, 0.3, -1/2?
0.3
Which is the closest to -3? (a) 5 (b) 0 (c) 7 (d) -2
d
What is the nearest to 0.8 in -2.6, -0.4, 1/12?
1/12
Which is the closest to -145? (a) 1/2 (b) 0.07 (c) -0.2
c
What is the closest to -4 in -0.4, -1, -113?
-1
Which is the nearest to -11? (a) 1/6 (b) -5 (c) 1
b
What is the nearest to 0 in 3, 10, 5, 0?
0
What is the nearest to 0.1 in 1/2, 3, 0.0798, 0.4?
0.0798
Which is the closest to -1? (a) 2 (b) -2/95 (c) -0.1
c
Which is the nearest to -6/11? (a) -0.08 (b) -3 (c) 0
a
Which is the nearest to -1.19? (a) 5 (b) 4/3 (c) 1/3
c
What is the nearest to 0 in -0.007, -1/2, -2, 3?
-0.007
Which is the nearest to -3? (a) 4 (b) 2/15 (c) -0.4
c
Which is the nearest to 2/5? (a) -37 (b) 2/3 (c) -0.4 (d) -1
b
What is the nearest to -11/4 in -1/3, 5, -1/2, 2?
-1/2
Which is the nearest to -2? (a) -0.06 (b) -0.5 (c) -2/17 (d) 2/7
b
Which is the closest to 5? (a) -26 (b) 0.1 (c) -2/13 (d) -1
b
What is the nearest to -15/8 in -0.2, 0.04, -2/3?
-2/3
What is the closest to -3/7 in -3, 0, 5/3?
0
Which is the nearest to -2? (a) 2 (b) -1 (c) 1
b
What is the nearest to 1 in -1/5, 3, 2/11, 0.12?
2/11
What is the closest to -2/3 in -17, 1/11, 6?
1/11
What is the closest to -6/11 in 4/9, -2/3, 4?
-2/3
Which is the closest to 0? (a) 2/9 (b) -44 (c) -2/11 (d) -4
c
What is the closest to 1 in 2, -0.1, 8, -2/11?
2
What is the nearest to 0 in 0.05, -0.3, 0.4, -0.2?
0.05
Which is the nearest to -2/3? (a) 0 (b) 1/2 (c) -1/5
c
Which is the closest to 0.1? (a) 3/5 (b) 5 (c) 1666
a
Which is the closest to 0? (a) 5 (b) 0.4 (c) 1
b
Which is the closest to -0.1? (a) 0.8 (b) 5 (c) -5/2
a
What is the closest to -1 in 2/11, -11, -4/7, 2?
-4/7
What is the nearest to 0 in 0.073, -3, 4/9?
0.073
Which is the closest to 0? (a) 3 (b) 1/4 (c) 0
c
What is the closest to -2/7 in 0.2, -4, -8, 2?
0.2
Which is the nearest to -0.18? (a) 0.03 (b) 0.1 (c) -9 (d) 4
a
What is the closest to 17 in -1, 3, -0.6, 2?
3
What is the nearest to 0.2 in -18, -4/13, 3, -5?
-4/13
Which is the closest to -1/4? (a) -0.2 (b) -6/11 (c) 11
a
What is the closest to -2 in 2/107, 10, -0.2, 3?
-0.2
What is the closest to -2 in 8, 0.06, -5, -0.1?
-0.1
What is the closest to 2/5 in 2.3, 5, 6, 2?
2
Which is the closest to 422? (a) 4 (b) 1 (c) 2/13
a
Which is the closest to -0.1? (a) -1 (b) -0.227 (c) 0.1 (d) -3
b
What is the nearest to 0 in 0.0559, 0.2, -4, 0.3?
0.0559
Which is the nearest to 8? (a) 0.737 (b) -2/15 (c) 2
c
Which is the nearest to -3? (a) -4/3 (b) -2/3 (c) -5 (d) -3
d
Which is the nearest to -0.2? (a) -1/4 (b) -2 (c) 0.2 (d) 120
a
Which is the nearest to 2? (a) -6 (b) 0.5 (c) 2/9 (d) 1/3
b
What is the nearest to -1/2 in -2/5, -5/4, -9, -1?
-2/5
Which is the closest to -3/22? (a) 0 (b) -1/5 (c) 4
b
What is the closest to -0.3 in 2, -0.4, -0.6, 14?
-0.4
What is the closest to 1 in -5, 9/40, 1?
1
Which is the nearest to 0.1? (a) -2/7 (b) 4 (c) 0.3 (d) 1/5
d
What is the nearest to 1 in 5, -3/8, 3, 2?
2
Which is the closest to -28? (a) -1 (b) -0.13 (c) 5
a
Which is the nearest to 2/9? (a) 20/19 (b) 5 (c) -5
a
What is the nearest to 0 in -2/7, 0.3, -70?
-2/7
What is the closest to 2 in 0.2, -1, -0.5, 0.05?
0.2
What is the closest to -1/3 in 810, 3, -0.1?
-0.1
What is the closest to 1/4 in -2, 6, -1/9?
-1/9
Which is the closest to -2/7? (a) -0.2 (b) -4/7 (c) 58
a
What is the nearest to -2/13 in -2/5, -3/5, 11?
-2/5
What is the closest to 0 in 0, 2, 1/5, -8?
0
Which is the nearest to 18? (a) 5 (b) 4 (c) 3/8 (d) 3
a
Which is the nearest to 1? (a) -5 (b) -1/9 (c) 1 (d) -1
c
Which is the nearest to 0? (a) -12 (b) -5/6 (c) -0.4 (d) 2/7
d
Which is the closest to -1/2? (a) 0.06 (b) 5 (c) -0.5
c
What is the nearest to 2.4 in -2, 3, -9, 0.4?
3
What is the nearest to 0 in -0.4, -4, 42/5?
-0.4
What is the closest to 0.1 in 1, -5/3, -1/12?
-1/12
Which is the nearest to 1/3? (a) -4/7 (b) -1/19 (c) -1/6
b
Which is the closest to 1? (a) -2/9 (b) -4 (c) 4 (d) 7
a
Which is the nearest to 2? (a) 1/3 (b) -3/2 (c) 2
c
What is the nearest to 2/9 in 1, 0.2, -0.02, 5?
0.2
Which is the nearest to -2/5? (a) 0.03 (b) -0.02 (c) 3/5 (d) 12
b
What is the nearest to 3 in 0.5, -0.1, 1, -0.032?
1
Which is the nearest to 1? (a) 3 (b) 3/13 (c) 2/7 (d) 0.1
c
Which is the nearest to -2/13? (a) -22 (b) 1 (c) 0.1 (d) 2
c
Which is the nearest to -2/7? (a) 0 (b) 2 (c) -0.2
c
What is the nearest to 11 in 2, 1, 0.3?
2
Which is the nearest to 0? (a) -1/2 (b) 3/2 (c) 1 (d) 0.03
d
Which is the nearest to 13/15? (a) 4 (b) -0.2 (c) 0.5
c
Which is the closest to 4? (a) -1/3 (b) -0.5 (c) 0
c
Which is the nearest to -2? (a) -0.2 (b) -1 (c) 5 (d) 0.4
b
What is the nearest to 182 in 2/13, 1/3, 0.1?
1/3
What is the nearest to -1 in -10, -0.016, 0.2?
-0.016
What is the closest to -2.7 in 1, 2/39, 0.4?
2/39
What is the nearest to 1/23 in -2, 2/3, 4, -4?
2/3
Which is the nearest to -1? (a) 0.4 (b) -6/13 (c) 0.1 (d) 2/7
b
Which is the nearest to 0.2? (a) -23 (b) -93 (c) 1/5 (d) -0.3
c
What is the closest to -1.5 in -0.3, -0.5, 11?
-0.5
What is the nearest to -5 in -0.028, 5, 4?
-0.028
What is the closest to -15 in -1/6, 2, 2/3, -0.25?
-0.25
What is the closest to -2/7 in -1, -25, 0.02, 0.5?
0.02
Which is the closest to -0.2? (a) 5 (b) -0.5 (c) 0.3 (d) -4
b
Which is the nearest to 3? (a) -3/5 (b) -0.13 (c) 3
c
What is the nearest to 2 in -1/5, -14, 2/15, -3?
2/15
Which is the nearest to 0.249? (a) -2/3 (b) -1/2 (c) -0.4 (d) 0
d
What is the closest to 2/7 in -2/17, 0.66, 25?
0.66
What is the closest to -0.1 in -2, -0.12, 0, -4?
-0.12
What is the closest to -66 in -5, 1/7, 0?
-5
Which is the nearest to 2/9? (a) -2/5 (b) -2 (c) 2 (d) 0
d
Which is the nearest to -1? (a) -246 (b) 3/4 (c) -2
c
What is the closest to 3 in -4, 3, -2?
3
Which is the nearest to 2/9? (a) -7 (b) -0.5 (c) 0.2 (d) 2/3
c
Which is the closest to -2/11? (a) 0 (b) 0.3 (c) -3 (d) -0.4
a
What is the closest to 0.4 in 1, 0, -2/17, -3?
0
Which is the nearest to -2/5? (a) -4 (b) 4 (c) -6
a
What is the nearest to -2 in 6, 0.049, 0.04?
0.04
What is the nearest to 4 in 2/5, 2, -1, 3?
3
Which is the closest to 0? (a) 5 (b) -3 (c) 0.6 (d) 4
c
What is the nearest to -2/27 in 2/17, 0, 1/5, 0.3?
0
What is the closest to -2 in -0.1, 1, -15?
-0.1
Which is the closest to -1/7? (a) 2/5 (b) 2/11 (c) -0.2
c
Which is the closest to -0.1? (a) 0.62 (b) -2 (c) -3/2 (d) 1/8
d
What is the closest to 1 in -0.1, -0.2, 3, 14?
-0.1
Which is the nearest to 0.6? (a) 1/5 (b) -189 (c) 4
a
What is the nearest to 0 in 15, -6/5, -1/3, 31?
-1/3
Which is the closest to -1/3? (a) -3/4 (b) 5 (c) -3/2
a
What is the nearest to 0.06 in 2/9, -1/4, 5?
2/9
What is the nearest to -1 in -2/15, 0.2, -2, -2/71?
-2/15
Which is the closest to 0.054? (a) -5 (b) 0 (c) 36 (d) -0.5
b
Which is the closest to -4? (a) 0.3 (b) -1/4 (c) -1/2 (d) -2/381
c
Which is the closest to 70? (a) 2 (b) -2 (c) 5
c
Which is the closest to -0.1? (a) -3 (b) -2/5 (c) 0.4 (d) 0.09
d
What is the nearest to -2 in 0.3, 0.02, -3/4?
-3/4
Which is the closest to -0.1? (a) 2/9 (b) 6 (c) 4
a
What is the closest to 0.1 in 1/50, 72, -4?
1/50
Which is the nearest to 0.1? (a) -32 (b) 7/2 (c) -4/5 (d) -1/7
d
Which is the nearest to -2? (a) -4 (b) 3 (c) 8
a
What is the nearest to 0.1 in 1/3, 1/8, -2/3, -2/11?
1/8
What is the closest to 1/3 in 0.1, -0.3, -1/2, -7/5?
0.1
What is the closest to -2/5 in 2, 0.2, -1/75?
-1/75
What is the closest to -2 in -11, -5, -0.5, 0?
-0.5
Which is the nearest to -0.1? (a) -0.4 (b) -5 (c) 3/4 (d) -0.03
d
Which is the closest to 0.23? (a) 0.2 (b) 2/7 (c) -5
a
What is the nearest to 1/4 in 1, 2.2, 0.4?
0.4
What is the nearest to 4/5 in 2/19, -147, -2/11, 3?
2/19
What is the closest to -0.2 in -2, -0.4, 0.5, 0.9?
-0.4
What is the nearest to 2 in 1, 8, -13?
1
What is the nearest to 0 in -9, -1/10, -1, 14?
-1/10
What is the closest to 2/15 in 4/5, 2, -5?
4/5
What is the nearest to -73 in 1/2, 1/9, -1, 7?
-1
What is the nearest to -16 in 0.7, 1/3, -1/6?
-1/6
What is the nearest to 0 in -5, 0.1, 3?
0.1
What is the closest to -0.1 in 0.36, -0.5, -0.05?
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{
"pile_set_name": "DM Mathematics"
}
|
- 1
Let p(j) = -5*j**2 + 6*j - 4. Let x(r) = 13*r - 9. Determine -5*p(c) + 2*x(c).
25*c**2 - 4*c + 2
Let p(c) = -5*c**3 + 22*c - 27. Let l(n) = -24*n**3 + 110*n - 126. What is -6*l(b) + 28*p(b)?
4*b**3 - 44*b
Let t(r) = -r**3 - 3*r**2 + 3*r - 2. Let w(n) = 3*n**3 + 75*n**2 - 17*n + 8. What is 5*t(j) + w(j)?
-2*j**3 + 60*j**2 - 2*j - 2
Let x(s) = 2*s**2 + 4*s + 4. Let z(d) = d**2 + 3*d + 3. Let r = -190 + 154. Let v be r/27*(1 + -4). Let g = 8 - 11. Determine g*x(c) + v*z(c).
-2*c**2
Let d(l) = 5*l**2 - 180*l + 4. Let f be d(36). Let i(m) = 5*m + 31. Let b(a) = a. Give f*b(n) - i(n).
-n - 31
Let z(n) = -6*n + 273. Let d(x) = 30*x - 1368. Calculate 2*d(t) + 11*z(t).
-6*t + 267
Let q(h) = 4*h + 6. Let w(l) be the second derivative of l**3/2 + 5*l**2/2 - 63*l. Let p be (26/(-78))/(((-14)/36)/(-7)). Give p*w(t) + 4*q(t).
-2*t - 6
Let o(r) = -99932*r**2 - 75*r - 50. Let i(m) = -24982*m**2 - 18*m - 12. Give 25*i(s) - 6*o(s).
-24958*s**2
Let w(l) = 3*l + 8. Suppose -9 = 5*d - f, -338*d + 334*d = 5*f + 42. Let m(s) = s + 1. Give d*w(k) + 24*m(k).
15*k
Let b(k) = -14*k**2 + 2381*k. Let d(r) = -39*r**2 + 7145*r. Give -11*b(q) + 4*d(q).
-2*q**2 + 2389*q
Let p(s) = -4*s - 5. Let d(h) = -3*h**2 - 8*h - 14. Give -3*d(z) + 8*p(z).
9*z**2 - 8*z + 2
Let w(v) = 6*v - 9. Let l(h) = h**2 + 13*h + 26. Let r be l(-10). Let f(c) = -3*c + 14. Let j(i) = -3*i + 17. Let u(x) = r*f(x) + 3*j(x). Give -7*u(q) + 4*w(q).
3*q - 1
Let w(z) = 28*z**2 - 31*z + 5. Let o(l) = 58*l**2 - 67*l + 11. Determine -6*o(q) + 13*w(q).
16*q**2 - q - 1
Suppose -2176 = -51*w + 47*w. Let i(c) = c - 2*c + 2*c - 545 + w. Let b(y) = -5. What is -b(h) + 5*i(h)?
5*h
Let n(b) = -b**2 - 41 - 2*b + 118 - b - 98. Let o(d) = d**2 + 2*d + 21. What is 2*n(i) + 3*o(i)?
i**2 + 21
Let l(z) = -3*z**2 + 681*z - 4. Let r(x) = 5*x**2 - 1351*x + 7. What is -7*l(p) - 4*r(p)?
p**2 + 637*p
Suppose 10*t = 129 + 81. Suppose -t = -15*b + 84. Let q(s) = 4*s + 1. Let a(c) = 7*c + 3. Calculate b*q(w) - 3*a(w).
7*w - 2
Let n(r) = -4*r**2 + 2*r + 3. Let u = -8 + -3. Let p(a) be the third derivative of -7*a**5/20 + 11*a**4/24 + 8*a**3/3 + 180*a**2. Give u*n(k) + 2*p(k).
2*k**2 - 1
Let n(t) = 82*t + 6. Let r be n(13). Let v be (-4)/14*-1 - r/469. Let o(q) = -21*q**2 + 6*q. Let h(l) = -4*l**2 + l. Give v*o(d) + 11*h(d).
-2*d**2 - d
Let r(c) = 11*c**3 - 174*c**2 - 2*c - 3. Let j(d) = 19*d**3 - 347*d**2 - 5*d - 8. Calculate -2*j(p) + 5*r(p).
17*p**3 - 176*p**2 + 1
Suppose 15 - 41 = 6*f - 32. Let g(y) = y**3 + y**2 - y + 1. Let q(d) = -24*d**3 - d**2 + d - 1. Calculate f*q(w) + g(w).
-23*w**3
Let z(v) = -1517*v**2 - 8*v + 25. Let w(y) = -504*y**2 - 3*y + 9. Determine 8*w(q) - 3*z(q).
519*q**2 - 3
Let j(s) = -10*s**3 + 4*s**2 + 48*s + 3. Let u(i) = -6*i**3 + 3*i**2 + 49*i + 2. What is 2*j(h) - 3*u(h)?
-2*h**3 - h**2 - 51*h
Let d(h) = -85*h**3 + h**2 + 12*h - 1. Let b(s) = -s**3 - s**2 - 9*s + 1. Give b(k) + d(k).
-86*k**3 + 3*k
Let z(l) = 4*l - 3. Let y(m) = 28*m - 38. Determine -y(b) + 3*z(b).
-16*b + 29
Let u(i) = -3*i - 5. Let t(w) = -w**3 + w + 1. Suppose k + 17 = 20. Suppose -5*r = -k*c - 11, -3*r + 14 = -2*c + 8. Give c*t(x) + u(x).
-3*x**3 - 2
Let o(l) = -7*l**3 - 5. Let u(j) = -18*j**3 - 12. Let p(k) = -k**2 - 15*k + 4. Let t be p(-17). Let z be (74 - 78)*(t/8)/3. Determine z*u(a) - 12*o(a).
-6*a**3
Let g(f) = -11*f**2 - 14*f + 11. Let v(p) be the third derivative of -p**5/15 - 5*p**4/24 + 2*p**3/3 - 2147*p**2 + 1. Calculate 3*g(i) - 8*v(i).
-i**2 - 2*i + 1
Let k(f) = -f**3 + f**2 + f + 1. Let o(y) = 6*y**3 - y**2 - 5*y - 5. Let t(s) = -s**2 + 41*s - 200. Let g be t(35). What is g*k(j) + 2*o(j)?
2*j**3 + 8*j**2
Suppose -28*c + 165 = 27*c. Let n(h) = -h - 5. Let l(f) be the first derivative of -6*f - 12. Calculate c*n(a) - 2*l(a).
-3*a - 3
Let d(y) = -y**3. Let x(b) = -6 - 3*b + 3*b - 20 + 19 + 8 + 5*b**3. Suppose 4*w - 6*w = -2. Determine w*x(n) + d(n).
4*n**3 + 1
Let p(u) = 3*u + 7. Let x(w) = -4*w - 3. Calculate 6*p(r) + 13*x(r).
-34*r + 3
Let x(n) = 24*n - 11. Let h(g) = -11*g + 5. Let f(o) = 13*h(o) + 6*x(o). Let a(b) be the first derivative of -b - 2. Calculate 6*a(s) - 2*f(s).
-2*s - 4
Let f(k) = -968*k**2 + 13. Let w(v) = -967*v**2 - v + 18. Calculate -4*f(x) + 3*w(x).
971*x**2 - 3*x + 2
Let c(n) = 41*n**2 - 3*n - 3. Let w(z) be the second derivative of 27*z**4/4 - 5*z**3/6 - 5*z**2/2 + 416*z + 4. Give -5*c(j) + 3*w(j).
38*j**2
Let p(r) = 7 - 51 + 8*r + r**2 + 9 + 16 + 9. Let a be p(-8). Let h(d) = -4*d**3 + 10*d + 10. Let m(v) = -v**3 + 3*v + 3. Give a*m(j) + 3*h(j).
-2*j**3
Let d(s) = -3*s**2 - s - 4. Let t(g) = -21*g**2 + 7*g + 29. Give 5*d(f) + t(f).
-36*f**2 + 2*f + 9
Let r(n) = 1302*n**3 - 5*n**2 + 10*n + 3. Let w(v) = 1953*v**3 - 7*v**2 + 14*v + 4. Give 7*r(f) - 5*w(f).
-651*f**3 + 1
Let d(v) = 14*v - 8. Let j(x) = 125*x - 6. Let f(c) = 104*c - 5. Let k(g) = 6*f(g) - 5*j(g). Calculate -d(n) - 12*k(n).
-2*n + 8
Let p(i) be the first derivative of -7*i**3/3 - 5*i**2/2 - 11*i + 1191. Let s(k) = -11*k**2 - 8*k - 17. Determine 8*p(m) - 5*s(m).
-m**2 - 3
Let c(m) = 30*m**3 + m**2 - 5. Let f(s) = 319. Let n(z) = 80. Let o(i) = f(i) - 4*n(i). Calculate c(l) - 5*o(l).
30*l**3 + l**2
Let f(w) = -9*w**2 + 2*w + 14. Let j(v) be the second derivative of 5*v**4/12 - v**3/6 - 7*v**2/2 + 1105*v. Calculate -6*f(c) - 11*j(c).
-c**2 - c - 7
Let f be -4 + ((-20)/25)/4 + 114/(-30). Let m(h) = 4*h + 5. Let a(u) = u + 2. Give f*a(x) + 3*m(x).
4*x - 1
Let d(w) be the first derivative of -2*w**3 - 2*w + 1667. Let k(q) = -30*q**2 - 11. Give -22*d(f) + 4*k(f).
12*f**2
Let d(y) = -8 + 261*y**2 + 213*y**2 - 472*y**2 - 3*y + 4*y. Let z(k) = k**2 + k - 7. Give -4*d(r) + 6*z(r).
-2*r**2 + 2*r - 10
Let o = -38 - -44. Suppose 0 = 11*r - o*r + 20. Let k = r - 1. Let d(q) = 3*q + 7. Let s(t) = -3*t - 6. What is k*s(p) - 4*d(p)?
3*p + 2
Let q(i) = 15*i**2 - 10*i + 2. Let m(t) = 2*t**2 + 2*t + 1. Determine 6*m(y) + q(y).
27*y**2 + 2*y + 8
Let y(g) = 4*g**3 - 5*g - 8. Let r(q) be the first derivative of 3*q**4 - 7*q**2 - 23*q + 1329. Give -6*r(h) + 17*y(h).
-4*h**3 - h + 2
Let t(r) = 23*r**3 + 13*r + 9. Let a(q) = -12*q**3 - 6*q - 4. Let g be (130/(-20))/((-8)/(-18 + 2)). What is g*a(f) - 6*t(f)?
18*f**3 - 2
Let z(c) be the second derivative of -11*c + 3/2*c**3 + 1 - 1/2*c**2. Let p(s) = -13*s + 1. What is 5*p(u) + 7*z(u)?
-2*u - 2
Let n(z) = 11*z + 11. Let b(v) = 18*v + 18. Let i(h) = 3*b(h) - 5*n(h). Let r(g) be the third derivative of g**4/4 + 5*g**3/6 - g**2. Give 33*i(m) + 6*r(m).
3*m - 3
Let q(n) = -n**2 + 2*n. Let x(c) = 9912*c**2 - 6608*c. What is -3304*q(j) - x(j)?
-6608*j**2
Let s = -598 + 1060. Suppose s = -3*d + 501. Let o(p) = p - 9. Let k(q) = -q + 4. Give d*k(z) + 6*o(z).
-7*z - 2
Let g(r) = -159*r**3 - 9*r**2 - 3. Let c(z) = z**3 + 3*z**2 - z + 2. Calculate -2*c(y) - g(y).
157*y**3 + 3*y**2 + 2*y - 1
Suppose 168*a - 108 = 204*a. Let k(f) = 14*f - 1. Let g(y) = -y. Calculate a*g(p) - k(p).
-11*p + 1
Let o(b) = -17*b - 2099. Let c(a) = 10*a + 1397. Give 8*c(i) + 5*o(i).
-5*i + 681
Let y(v) = 61*v**2 - 6*v - 21. Let k(a) = 81*a**2 - 7*a - 22. Determine 3*k(i) - 4*y(i).
-i**2 + 3*i + 18
Let j(o) = 30961*o - 247700. Let a be j(8). Let d(r) = r - 1. Let f(b) be the second derivative of b**3/6 - 3*b**2/2 - b. Calculate a*d(y) + 4*f(y).
-8*y
Let x(z) = 12*z**3. Let h(l) = l**3 - 9*l**2 + 16*l + 14. Suppose 6 = 133*o - 132*o. Let g be h(o). Let d(i) = 3*i**3. What is g*x(w) - 9*d(w)?
-3*w**3
Let c(d) = -2*d**3 + 7*d**2 + 3*d + 3. Suppose -5*v - 7*i + 6*i + 16 = 0, 0 = -3*v + 7*i + 2. Let n(o) = 6*o**3 - 20*o**2 - 8*o - 8. Calculate v*n(z) + 8*c(z).
2*z**3 - 4*z**2
Let r(v) = 17822*v. Let f(s) = 21733929*s. Calculate -5*f(q) + 6097*r(q).
-8911*q
Let m(o) be the third derivative of o**4/12 + o**3/2 - 3*o**2. Let z(k) = 515*k + 10 + 515*k - 1024*k. Suppose -8 = d + 2. What is d*m(f) + 3*z(f)?
-2*f
Let r(h) = 24*h**3 + 45*h**2 - 26. Let a(f) = -24*f**3 - 43*f**2 + 22. What is -6*a(y) - 5*r(y)?
24*y**3 + 33*y**2 - 2
Let v(b) = 2*b**3 - b**2 + 12*b. Let f(p) = -24*p**3 + 8*p**2 - 121*p. Calculate -f(j) - 8*v(j).
8*j**3 + 25*j
Let z(b) = b - 1. Suppose -5 = -2*a - 3. Let d(k) = 14*k - 3. Let g = -44977 - -44974. What is a*d(w) + g*z(w)?
11*w
Let q(j) = 21*j**2 + 26*j + 10. Let k = 64 + -60. Let o be -6 - k - (2 + (-3 - -2)). Let x(m) = 4*m**2
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*d**2).
-185*d**4
Expand (3426*t - 1947*t + 8379*t)*(-t - 2*t + t).
-19716*t**2
Expand 5*f**3 - 5*f**3 + f**3 + (f + 2*f - f)*(-2*f**2 + 0*f**2 + 0*f**2 + (3 - 3 + f)*(-4 + 4 - 2*f) + f**2 + 3*f - 3*f + 2*f - 420*f**2 + 0*f - 475*f**2).
-1795*f**3 + 4*f**2
Expand (-3*p - p**4 + 3*p)*(1067 + 2770 - 136).
-3701*p**4
Expand (128 + 170 - 24 + 2*j)*(-4*j**2 + 5*j**2 + 2*j**2 + (-2 - 1 + 5)*(-3*j**2 + 2*j**2 + 3*j**2)).
14*j**3 + 1918*j**2
Expand 3*a - 2*a - 3*a - 3*a + 6*a - 2*a - 5 - a + 5 + (2 + 2 - 6)*(3*a + a - 2*a) - 2*a + 4*a - 3*a - 144*a + 69*a + 78*a + 1.
-4*a + 1
Expand (0*t + 5*t - 3*t)*(7*t**3 + 6*t**3 - 6*t**3)*(-65*t + 95 - 95).
-910*t**5
Expand (2 - 3 + 0)*(-3 + 3 - 3*d + (18*d + 44 - 44)*(-10 - 7 + 13))*(-56*d**3 + 94*d**3 - 75*d**3).
-2775*d**4
Expand (-2044*x**2 + 3*x - 4*x + 4208*x**2)*(-2 + 2 - 1).
-2164*x**2 + x
Expand (-4*r + r + r)*(4 - 4 + r) - r - r**2 + r + 2*r**2 + r - r + 101 - 21*r**2 - 101 + 2*r + 2 + 0*r**2 + r**2 - r.
-21*r**2 + r + 2
Expand (1 + 3 - 1)*(2*s**4 + s**4 - 2*s**4) + 4 + 9*s + 11 - 8*s + 7*s**4 + 2*s**2.
10*s**4 + 2*s**2 + s + 15
Expand (w**2 + 0*w**2 - 3*w**2)*(-2*w + 1 - 1) + 23 - 5*w**3 - 23 + 0*w**3 + 3*w**3 - 5*w**3 - 3*w**3 - w**2 + w**2.
-6*w**3
Expand (-157 - 47 - 6)*(-2 + 3*y - 8*y + 1) - 3*y - y - 8*y - 3*y.
1035*y + 210
Expand -3*r**3 + 4*r**3 - 3*r**3 + (-2*r**2 - 4*r**2 + 2*r**2)*(5*r - 3*r - 3*r) - 26*r**2 - 5*r**3 + 43*r**2 - 12*r**2.
-3*r**3 + 5*r**2
Expand (3*g**3 + g**3 - 3*g**3 + (3*g - 2*g + 3*g)*(g**2 + 2*g**2 - 2*g**2))*(142*g**2 - 80*g**2 - 78*g**2).
-80*g**5
Expand (3 - 2 - 6 + (1 + 2 - 2)*(-2 + 2 + 2)*(2 + 1 - 2))*((-8 + 7 + 10)*(0*z + 3*z + 176*z) + (-2*z + 0 + 0)*(-2 - 5 + 5)).
-4845*z
Expand -92782*p + 92782*p + 429*p**2 + (-2 + 3 + 0)*(-p + 2*p**2 + p) + 4*p**2 - 5*p + 5*p.
435*p**2
Expand 6*d**5 - d**5 - d**5 + (31*d**5 + 11*d**5 - 8*d**5)*(7 - 1 + 2) - 5*d + 5*d + d**5.
277*d**5
Expand (872*x - 59*x + 147*x - 109*x)*(5 + 0 - 4)*(-1 + 4 - 2).
851*x
Expand (-678*v - 268 + 268)*(-5*v**2 + 1 - 2 + v**2).
2712*v**3 + 678*v
Expand (-3476*j**2 + 5704 - 5704)*(-2*j**2 + 2*j - 2*j).
6952*j**4
Expand (-50 + 115 - 25)*(-71 + 47*i**3 + 71).
1880*i**3
Expand (-25*k + 2 - 2)*(-5 + 3 - 2)*(0 - 6 + 1).
-500*k
Expand (3 - 5 + 3)*(2*c + 2*c - 2*c)*((-2*c + 9*c - 2*c)*(0 + 5 - 3) - 2*c - 47*c - 171*c).
-420*c**2
Expand (3 + a - 3)*(0 + 2 - 4) - 5524*a + 83*a - 4343*a - 7251*a.
-17037*a
Expand (6811*z**5 + 1374599*z**4 - 1374599*z**4)*(2 + 1 - 2 + 1 + 4 - 7 + (0 - 5 + 3)*(-3 + 0 + 2)).
6811*z**5
Expand (-3*y + 0*y + 6*y)*(1287 - 41 - 466)*(0 + 0 + 3*y).
7020*y**2
Expand -1070 - 86*b**4 + 1050*b**4 + 1107 + 26*b**4 + (4*b**2 - 4*b**2 + 2*b**2)*(1 - 1 - 2*b**2).
986*b**4 + 37
Expand (2*l**2 + 3*l**2 - 2*l**2)*(-l + 2*l - 4*l)*(1 - l - 1 + (3*l - 6*l + 4*l)*(2 + 1 - 4))*(l + l + 3*l)*(-24 - 18 + 12).
-2700*l**5
Expand (-x**2 - 5*x**2 + 2*x**2)*(2*x + 3*x - 3*x) + 2*x**3 - x**3 - 2*x**3 - 2*x**3 + x**3 + 4*x**3 + (-3*x - 3*x + 5*x)*(2*x**2 + 2*x**2 - 3*x**2).
-7*x**3
Expand (0*f**5 + 2*f**5 - f**5)*(-44 + 19 - 139)*(-3 - 2 + 2).
492*f**5
Expand i + 5*i - 4*i + (2*i + 0 + 0)*(2 - 1 - 6) + (1 + i - 1)*(-3 + 71 + 11).
71*i
Expand (-100*g - 99*g + 228*g)*(-3 - 2 - 2)*(g**3 - 4*g**3 - 3*g**3).
1218*g**4
Expand -x**3 + 5*x**3 - 5*x**3 + (-3 + 2 + 0)*(-9*x**3 + 13*x**3 + 2*x**3)*(4 + 20 + 2).
-157*x**3
Expand (m**3 - 5*m - m - 7*m)*(13*m - 21*m - 16*m)*(-m + m + 2*m).
-48*m**5 + 624*m**3
Expand (-258*d + 80*d + 23 + 84*d + 81*d)*(2 - 1 + 2 + (0 - 5 + 3)*(-2 + 1 + 3)).
13*d - 23
Expand 24*d**4 - 17*d**4 - 11*d**4 + 0*d**3 + 2*d**4 + 0*d**3 + (-7*d + 4*d + d)*(-2*d**3 + 3*d**2 - 3*d**2) - 3 + 3 + 5*d**4 - 70 + 78*d**4 + 70.
85*d**4
Expand (4 - g - 4)*(4 + 3*g**2 - 4)*(-1073*g + 2 - 1103*g + 2194*g).
-54*g**4 - 6*g**3
Expand (-65030*v + 32007*v + 31955*v)*(-4 - 3 + 5) - 5*v + 2*v + 4*v + (-1 + 5 - 5)*(-3 - 8*v + 3).
2145*v
Expand (14*n**2 + 5*n - 5*n + (-1 - 3 + 2)*(-5*n**2 + 2*n**2 + 2*n**2) - 239*n**2 + 173*n**2 + 367*n**2)*(0*n + 0*n - n).
-317*n**3
Expand (0*l + 0*l - l + 2)*(-101*l**2 - 15*l**2 - 13*l**2).
129*l**3 - 258*l**2
Expand (-2 + 2 - 3)*(182*d**3 - 233*d**3 - 246*d**3) + 2*d**3 - 3*d**3 - 2*d**3 + (-4*d**2 + 0*d**2 + 3*d**2)*(d + 3*d - 3*d).
887*d**3
Expand (0 - 1 - 2)*(-2*l - 15 + 5 - 31).
6*l + 123
Expand 7*x - 3*x - x + (-x + 8*x - 2*x)*(-1 - 3 + 2) + 5*x - x + 19 - 3*x.
-6*x + 19
Expand 6*r - 4*r**2 - 6*r - r**2 + 4*r**2 - 2*r**2 + 3*r**2 - 4*r**2 + 3*r**2 + (-3*r**2 - 3*r + 3*r)*(2 - 5 + 1) + 4*r - 4*r + 2*r**2 - r**2 - 6*r**2 + 2*r**2.
2*r**2
Expand -2*v**3 - v**5 + 2*v**3 + (-375*v**4 + 252*v**4 - 370*v**4)*(2*v + 2 - 2).
-987*v**5
Expand (-3 + 68 + 44)*(-y**3 - y**3 + 0*y**3) + (-2*y**2 - 2*y**2 + 6*y**2)*(2*y - 4*y + 4*y) - 3*y**3 + 3*y**3 + y**3.
-213*y**3
Expand (-780*g**2 - 8 - 785*g**2 + g + 1553*g**2)*(0*g**2 + 0*g**2 + 2*g**2).
-24*g**4 + 2*g**3 - 16*g**2
Expand (0 - 18891*r + 18902*r - 2)*(-95*r + 85*r - 3 + 53*r).
473*r**2 - 119*r + 6
Expand -61*j**4 - 54*j**3 + 54*j**3 + (2*j + 2 - 2)*(-4*j**3 + 3*j**3 + 0*j**3) - 4*j**4 + 0*j**4 + 5*j**4 - j**4 - j**4 + 4*j**4.
-60*j**4
Expand ((-2*r + 4*r + 0*r)*(-5*r + 25*r + 14*r + (4*r + 0*r - 5*r)*(0 - 1 + 3)) + 21*r - 21*r - 8*r**2)*(2*r - 3*r + 3*r).
112*r**3
Expand (-3 + 0 - 14)*(21 - 50 - 157 - z - 26).
17*z + 3604
Expand -24*i**3 + 1 + 29*i**3 - 3 + (-46*i - 62*i + 39*i)*(-4*i**2 + i**2 + 5*i**2 + 22*i).
-133*i**3 - 1518*i**2 - 2
Expand (12 + 7 - 2 + (4 - 4 + 1)*(-1 - 4 + 6) + 14 + 13 + 15)*(7*n - 2*n - 3*n)*(-1 + 2 + 2).
360*n
Expand (-k**3 + 0 + 0)*(6306 + 17683 + 8885 + 11035 - 11193).
-32716*k**3
Expand -1 + 1 - 2*w + 4*w - 2 + 2 + (12 - 5 - 6)*(-7*w + w - 9*w).
-13*w
Expand (2*f - 2 + 2)*(2*f + 2*f + 2*f)*(4 - 2 - 5) + (46*f + 6*f + 66*f)*(-3 + 3 - 2*f).
-272*f**2
Expand 2 - v**3 - 2 + (0 - 2*v + 0)*(0*v**2 + v**2 - 6*v**2) + 10*v**3 - 5*v - 16*v**3 + 11*v**3.
14*v**3 - 5*v
Expand 256*j**5 - 1239*j**2 + 1239*j**2 + (5*j**2 - 2*j**2 - 4*j**2)*(1 - 1 - 3*j**3).
259*j**5
Expand 2*o**2 + 2*o**2 + 2*o**2 + (142 + 12*o - 142)*(11*o - 32*o - 17*o).
-450*o**2
Expand (41 - 4*y**4 - 41)*((7 - 5 + 2)*(2 + 10 + 17) - 4 + 3 + 0).
-460*y**4
Expand 289*f - 213*f - 196*f - 2*f + 5*f + 3*f + (0*f - 2*f + 3*f)*(-1 + 2 + 0).
-113*f
Expand (7508*i - 673*i**4 - 7508*i)*(-4 - 4 - 8).
10768*i**4
Expand 132*t**3 - 154*t**3 - 96*t**3 + (4*t + 2 + 2*t - 4*t)*(0*t**2 + t**2 + 0*t**2).
-116*t**3 + 2*t**2
Expand (-l**3 - 2*l**3 + 2*l**3)*(-2105 - 2974 + 893 - 1697) + (3 - 4 + 0)*(2*l**3 - 2*l**3 + l**3) + l**3 - 6*l**3 + 2*l**3.
5879*l**3
Expand (-1 + 1 + 1)*(-h**3 - h**2 + h**2) - 319*h**3 + 1127*h**3 + 2106*h**3.
2913*h**3
Expand (-10*p**2 - 23*p**3 + 10*p**2)*(19*p + 9*p + 16*p).
-1012*p**4
Expand 2*q - 2*q - 14*q + (-5 + 2 + 5)*(12*q - 6*q - 3 - 12) - q + 0*q + 0*q.
-3*q - 30
Expand ((1 + a - 1)*(-2 + 3 + 3) + 5*a + a - 3*a)*(6 - 2 - 2).
14*a
Expand ((-4 + 2 + 0)*(-1 + 3 - 6) - 5 + 0 + 3)*(-251*r**2 + 396*r**2 - 205*r**2 + (-2*r + 0*r + 0*r)*(-1 + 1 - 2*r)).
-336*r**2
Expand (5*w**2 + 12 - w - 22 - 10*w**2)*(0*w - w + 7*w).
-30*w**3 - 6*w**2 - 60*w
Expand 1053 - y + 64*y**2 - 1053 + (-34 + 34 + 10*y)*(y - 1 + 1).
74*y**2 - y
Expand 2*m**3 - 10*m**5 + 97*m**5 - 2*m**3 + (5 + 6 - 3)*(8*m**5 + 5 - 5).
151*m**5
Expand 5*x - 3*x - x + (30 - 35 - 64)*(98 - 23*x - 98).
1588*x
Expand (2*k**2 + 0 + 0)*(-4 - 22 + 0)*(0 + 0 + 1)*(k + 2*k + k)*(2*k**2 + 6*k**2 - 5*k**2).
-624*k**5
Expand ((1 + 7 - 20)*(l + 3*l - 6*l) + l - 4*l + l + (2 - 2 - l)*(3 - 3 + 1))*(-2 + 5 - 2).
21*l
Expand (-388*s + 1030*s + 340*s)*(5 - 5 - 1)*(-2*s + 7*s - 4*s)*(0 - 3 + 1)*(-2 - 2 + 2).
-3928*s**2
Expand (4 + 1 - 3)*(4 + 0 - 3)*(2 + 0 - 4 + (2 - 2 - 1)*(8 + 6 + 5))*(-b + 5*b - 5*b).
42*b
Expand (-7 + 18 + 0 + 3 - 6 + 1 + (0 - 1 + 0)*(0 - 2 + 0) + 1 - 5 + 2 + 2 - 3 - 4 + (-1 + 0 + 2)*(4 - 2 - 1))*(-l + 5*l + l).
25*l
Expand -3*z + 92 - 37 - 5 + 4*z + 0*z - 6*z + (4 - 5 + 3)*(-2*z - 4*z + 5*z) - 3*z - z + 5*z.
-6*z + 50
Expand (-13*r**3 - 6*r**3 + 2*r**3)*(r - 2*r - r) + (-2*r**2 + 3*r**2 - 3*r**2)*(312*r**2 + 791*r - 791*r).
-590*r**4
Expand (-77051 + 77051 - 852*m)*(1 + 0 + 1 + (-4 + 1 + 2)*(-3 - 4 + 5)).
-3408*m
Expand (11359 - 26228 + 6111)*(-3*y**2 + 5*y**2 - 4*y**2).
17516*y**2
Expand (21 - 4 - 46)*(t - t - t**2 + (-1 - t + 1)*(3*t - 2*t + 0*t) - 10*t**2 + 43*t**2 + 0*t**2)
|
{
"pile_set_name": "DM Mathematics"
}
|
es after 12:57 AM?
12:01 PM
How many minutes are there between 11:24 AM and 4:45 PM?
321
What is 123 minutes before 9:17 AM?
7:14 AM
How many minutes are there between 9:51 AM and 2:28 PM?
277
How many minutes are there between 12:00 PM and 5:04 PM?
304
What is 660 minutes before 1:23 PM?
2:23 AM
What is 503 minutes before 10:07 PM?
1:44 PM
What is 432 minutes after 2:13 AM?
9:25 AM
What is 568 minutes before 5:42 PM?
8:14 AM
How many minutes are there between 3:50 AM and 3:08 PM?
678
What is 607 minutes before 7:04 PM?
8:57 AM
What is 49 minutes after 7:56 PM?
8:45 PM
How many minutes are there between 7:45 PM and 8:39 PM?
54
What is 328 minutes after 4:42 PM?
10:10 PM
How many minutes are there between 11:55 AM and 12:55 PM?
60
How many minutes are there between 2:10 AM and 4:26 AM?
136
What is 576 minutes after 10:23 PM?
7:59 AM
How many minutes are there between 11:37 AM and 3:47 PM?
250
What is 40 minutes before 8:35 AM?
7:55 AM
How many minutes are there between 5:42 PM and 12:10 AM?
388
How many minutes are there between 11:18 PM and 8:03 AM?
525
How many minutes are there between 7:11 AM and 4:03 PM?
532
What is 532 minutes after 7:08 PM?
4:00 AM
What is 148 minutes before 4:21 AM?
1:53 AM
How many minutes are there between 3:51 AM and 2:18 PM?
627
What is 568 minutes after 5:58 PM?
3:26 AM
How many minutes are there between 4:23 AM and 5:25 AM?
62
What is 251 minutes after 7:43 PM?
11:54 PM
What is 59 minutes before 7:13 AM?
6:14 AM
What is 91 minutes after 4:27 PM?
5:58 PM
What is 394 minutes after 10:42 AM?
5:16 PM
How many minutes are there between 8:04 AM and 11:18 AM?
194
How many minutes are there between 4:09 AM and 10:51 AM?
402
What is 662 minutes before 1:54 PM?
2:52 AM
How many minutes are there between 9:23 AM and 8:40 PM?
677
What is 586 minutes after 12:36 AM?
10:22 AM
How many minutes are there between 8:53 AM and 5:48 PM?
535
How many minutes are there between 11:12 PM and 8:29 AM?
557
What is 77 minutes before 5:06 AM?
3:49 AM
What is 376 minutes before 2:33 PM?
8:17 AM
What is 391 minutes after 11:12 AM?
5:43 PM
How many minutes are there between 1:05 PM and 8:13 PM?
428
What is 419 minutes after 10:29 AM?
5:28 PM
What is 496 minutes before 1:22 PM?
5:06 AM
How many minutes are there between 2:48 PM and 6:58 PM?
250
What is 246 minutes after 4:04 AM?
8:10 AM
How many minutes are there between 2:16 PM and 12:32 AM?
616
How many minutes are there between 9:39 PM and 9:10 AM?
691
How many minutes are there between 8:22 AM and 9:01 AM?
39
How many minutes are there between 1:37 PM and 2:29 PM?
52
How many minutes are there between 10:29 PM and 4:10 AM?
341
How many minutes are there between 7:17 AM and 1:42 PM?
385
What is 617 minutes after 8:10 AM?
6:27 PM
What is 154 minutes before 12:09 AM?
9:35 PM
How many minutes are there between 8:32 PM and 3:55 AM?
443
What is 610 minutes before 1:50 PM?
3:40 AM
How many minutes are there between 7:56 AM and 10:04 AM?
128
How many minutes are there between 8:28 AM and 11:57 AM?
209
How many minutes are there between 12:10 AM and 10:53 AM?
643
How many minutes are there between 5:35 PM and 4:57 AM?
682
What is 595 minutes after 1:55 PM?
11:50 PM
What is 700 minutes after 9:04 PM?
8:44 AM
What is 620 minutes after 3:15 PM?
1:35 AM
How many minutes are there between 6:15 PM and 2:36 AM?
501
How many minutes are there between 3:41 AM and 10:15 AM?
394
How many minutes are there between 4:57 AM and 4:24 PM?
687
How many minutes are there between 12:29 AM and 2:54 AM?
145
How many minutes are there between 2:40 PM and 12:27 AM?
587
What is 98 minutes after 4:10 PM?
5:48 PM
How many minutes are there between 11:33 PM and 11:32 AM?
719
What is 202 minutes after 9:22 AM?
12:44 PM
How many minutes are there between 4:05 PM and 2:04 AM?
599
How many minutes are there between 3:45 AM and 10:48 AM?
423
How many minutes are there between 8:48 PM and 6:20 AM?
572
What is 323 minutes before 4:13 AM?
10:50 PM
How many minutes are there between 10:35 AM and 8:27 PM?
592
What is 309 minutes before 6:15 AM?
1:06 AM
What is 391 minutes after 3:17 PM?
9:48 PM
How many minutes are there between 4:49 AM and 9:23 AM?
274
How many minutes are there between 8:23 AM and 11:27 AM?
184
What is 421 minutes after 2:32 AM?
9:33 AM
What is 453 minutes before 6:27 AM?
10:54 PM
What is 596 minutes before 11:02 AM?
1:06 AM
How many minutes are there between 10:34 AM and 2:31 PM?
237
How many minutes are there between 4:46 AM and 5:19 AM?
33
How many minutes are there between 2:53 AM and 3:37 AM?
44
How many minutes are there between 2:55 AM and 9:07 AM?
372
How many minutes are there between 1:12 PM and 6:08 PM?
296
How many minutes are there between 7:19 PM and 1:19 AM?
360
How many minutes are there between 4:47 PM and 10:32 PM?
345
How many minutes are there between 11:46 AM and 2:01 PM?
135
What is 204 minutes before 7:37 PM?
4:13 PM
How many minutes are there between 2:07 PM and 7:32 PM?
325
How many minutes are there between 8:00 AM and 7:39 PM?
699
What is 255 minutes after 2:37 PM?
6:52 PM
What is 609 minutes before 4:44 PM?
6:35 AM
How many minutes are there between 6:28 AM and 7:18 AM?
50
How many minutes are there between 11:33 AM and 1:15 PM?
102
How many minutes are there between 8:55 PM and 6:19 AM?
564
How many minutes are there between 8:01 PM and 5:50 AM?
589
How many minutes are there between 6:00 PM and 5:37 AM?
697
What is 643 minutes before 2:17 PM?
3:34 AM
How many minutes are there between 3:34 AM and 3:16 PM?
702
How many minutes are there between 8:32 PM and 9:31 PM?
59
What is 176 minutes after 8:41 AM?
11:37 AM
How many minutes are there between 1:47 AM and 9:30 AM?
463
How many minutes are there between 7:29 AM and 1:24 PM?
355
How many minutes are there between 9:53 AM and 11:25 AM?
92
How many minutes are there between 3:38 AM and 9:09 AM?
331
What is 681 minutes before 2:24 AM?
3:03 PM
How many minutes are there between 6:46 AM and 10:43 AM?
237
What is 209 minutes after 10:53 AM?
2:22 PM
How many minutes are there between 7:59 PM and 9:31 PM?
92
How many minutes are there between 3:48 PM and 10:13 PM?
385
What is 197 minutes before 11:17 PM?
8:00 PM
How many minutes are there between 12:58 PM and 8:21 PM?
443
How many minutes are there between 5:08 PM and 7:37 PM?
149
How many minutes are there between 8:48 PM and 4:48 AM?
480
What is 564 minutes after 2:47 AM?
12:11 PM
What is 610 minutes before 1:16 AM?
3:06 PM
How many minutes are there between 6:42 PM and 4:39 AM?
597
How many minutes are there between 2:49 AM and 4:21 AM?
92
What is 251 minutes before 6:53 PM?
2:42 PM
How many minutes are there between 11:38 PM and 6:26 AM?
408
What is 398 minutes before 9:27 AM?
2:49 AM
What is 139 minutes after 1:18 PM?
3:37 PM
What is 310 minutes before 12:01 PM?
6:51 AM
What is 675 minutes before 10:05 AM?
10:50 PM
What is 386 minutes before 4:43 PM?
10:17 AM
What is 176 minutes after 4:01 PM?
6:57 PM
What is 327 minutes before 3:58 PM?
10:31 AM
What is 439 minutes before 12:26 AM?
5:07 PM
What is 317 minutes before 5:55 AM?
12:38 AM
What is 236 minutes before 7:26 AM?
3:30 AM
What is 96 minutes after 10:50 PM?
12:26 AM
What is 250 minutes after 3:32 AM?
7:42 AM
What is 317 minutes after 10:21 AM?
3:38 PM
What is 9 minutes after 2:56 PM?
3:05 PM
What is 591 minutes after 2:25 PM?
12:16 AM
How many minutes are there between 10:53 AM and 8:50 PM?
597
What is 344 minutes after 8:23 AM?
2:07 PM
How many minutes are there between 8:15 PM and 7:07 AM?
652
What is 457 minutes after 2:07 PM?
9:44 PM
What is 243 minutes after 11:31 AM?
3:34 PM
What is 53 minutes before 5:29 PM?
4:36 PM
How many minutes are there between 1:13 AM and 12:14 PM?
661
What is 313 minutes after 3:22 PM?
8:35 PM
What is 456 minutes after 4:55 PM?
12:31 AM
How many minutes are there between 2:31 PM and 4:43 PM?
132
What is 703 minutes after 12:06 AM?
11:49 AM
How many minutes are there between 2:06 AM and 10:19 AM?
493
What is 128 minutes after 6:00 PM?
8:08 PM
How many minutes are there between 5:47 PM and 6:31 PM?
44
What is 467 minutes before 2:35 AM?
6:48 PM
How many minutes are there between 2:28 AM and 6:39 AM?
251
How many minutes are there between 4:30 PM and 10:23 PM?
353
How many minutes are there between 11:30
|
{
"pile_set_name": "DM Mathematics"
}
|
4)
Simplify (b**(-14)/(b*b*b*b*b**8*b*b))/(b**(-1/14)*b)**(-26) assuming b is positive.
b**(-27/7)
Simplify (b**(-3/4))**39*(b**12*b*b)/b**(-4/13) assuming b is positive.
b**(-777/52)
Simplify (m**(1/4)*m/((m**(-3/5)/m*m)/m)*m**(-2/5)*m/(m/(m**4/m)))**21 assuming m is positive.
m**(2289/20)
Simplify (i**(-1/11)/i*i/(i**4/i))/(i*i/(i/i**(-1/2)))**(-6) assuming i is positive.
i**(-1/11)
Simplify (a**0*a)**(3/26)/(a**(-4/13))**(-28) assuming a is positive.
a**(-17/2)
Simplify ((r*(r/(r/(r**1*r)))/r)/r**(-3/8))/(r**5)**35 assuming r is positive.
r**(-1381/8)
Simplify ((m**(-6)*m**(-7))**(-30))**(-1/50) assuming m is positive.
m**(-39/5)
Simplify m/((m*m**(-2/17))/m)*m/((m*(m**34/m*m)/m)/m)*m*m*m*m**14*m**(-24/5) assuming m is positive.
m**(-1588/85)
Simplify (m*m**(-30)*m**(2/11))/(m**(-1/11))**23 assuming m is positive.
m**(-294/11)
Simplify (((w/w**(-3/13))/w)/w**(1/9))**(-23) assuming w is positive.
w**(-322/117)
Simplify ((d**13/d)/(d*d**(-6)))/(d**6/d**(-4)) assuming d is positive.
d**7
Simplify (h**(-5/3)*h/h**(-1/16)*h)/(h**(-8/3)/((h/(h**0/h))/h)) assuming h is positive.
h**(65/16)
Simplify (r*r**(-4)/r)**(4/5)*((r*r**(-1))/r)**(-2/167) assuming r is positive.
r**(-2662/835)
Simplify ((k**(-2/3)*k)**12*k**(-2/7)*k*k**(-2/23))**10 assuming k is positive.
k**(7450/161)
Simplify (j/((j*(j/j**(10/7))/j)/j)*j)/(j*j/j**17)*((j*j**12)/j*j)**(-3/7) assuming j is positive.
j**(90/7)
Simplify g**(1/4)*g*(g*g**5*g)/g*(g/(g/(g*g**10*g*g))*g)/(g/((g/(g**(-9)/g))/g)) assuming g is positive.
g**(121/4)
Simplify v*v*v**(-21)*v*(v/v**(-12))/v*((v/v**0)/v)/(v*v**(11/5)*v) assuming v is positive.
v**(-51/5)
Simplify ((z/(z*z/(z**4/z)))/z)**(17/4)*(z*z**(-5))/z*z**(1/4) assuming z is positive.
1/sqrt(z)
Simplify (k*k/((((k**1*k)/k)/k)/k)*k*k**(8/5))/(k**(-3/7))**(6/5) assuming k is positive.
k**(214/35)
Simplify (s/(s/s**(-2)*s)*s)**(-1/29)/((s/s**(2/19)*s)/s*s*s*(s/s**(2/21))/s*s*s*s) assuming s is positive.
s**(-66308/11571)
Simplify (((m**4)**(-2/7))**15)**25 assuming m is positive.
m**(-3000/7)
Simplify (x**(3/5))**(-39)/(((x*x/x**(3/7))/x)/((x*(x*x/x**(1/4))/x*x*x)/x)) assuming x is positive.
x**(-2971/140)
Simplify (a*a/(a*a/a**0)*a**(-3)*(a*a**(-1))**(-5))**(-2/17) assuming a is positive.
a**(6/17)
Simplify (z/(z*z**(3/11))*z*z/(z*z*z*z**(6/13))*z)/(z/(z**(-2/7)/z))**(-4/11) assuming z is positive.
z**(97/1001)
Simplify ((r/r**(-5))/r**(-14))/((r*r*r**(-10/11)/r)/(r/(r*r**9)*r*r)) assuming r is positive.
r**(142/11)
Simplify (((((p/(p*p**0*p*p))/p)/p)/p)**(-26)/((p/((p*p*(p*p*p*p**(-11)*p)/p)/p))/((p*p**(-2))/p)))**(1/23) assuming p is positive.
p**(120/23)
Simplify g**(-1/5)/g*g*g*g**18*g*g/g**(-14)*g*g**(1/14)*g*g*g*g*g assuming g is positive.
g**(2861/70)
Simplify (g/g**(2/3))/g**(-10)*g/(g*g*g*g/(g/g**(5/4)))*g/(g/(g*g/g**(-11))) assuming g is positive.
g**(241/12)
Simplify (c**(-2/31)*c**(1/11))**(-35) assuming c is positive.
c**(-315/341)
Simplify i*i*i*(i**(-12/11)/i*i)/i*i**10*(i**(-3))**(2/21) assuming i is positive.
i**(818/77)
Simplify ((g*g**(-6/13))**(-9/7))**(-12/13) assuming g is positive.
g**(108/169)
Simplify (b**(1/5))**(-3/7)/(b**(-6))**(-6/25) assuming b is positive.
b**(-267/175)
Simplify ((l/(l/l**(-3)))/l)**(-29)*(l**(-15)*l)/(l/l**(-4/5)) assuming l is positive.
l**(501/5)
Simplify (j**(2/5))**(1/20)/((j/(j*j*j/(j/((j/(j**(-12)*j)*j)/j)))*j)/j*j*j*(j**(-3/16)*j)/j*j) assuming j is positive.
j**(4083/400)
Simplify (((((x/x**(-5))/x)/x)**(-23))**39)**(-4/11) assuming x is positive.
x**(14352/11)
Simplify ((t**(-3))**(3/29)*((t/t**(-3/4))/t)**49)**(25/6) assuming t is positive.
t**(35225/232)
Simplify (r/(r/r**12))**(-37)*r**2*r/(r**31/r) assuming r is positive.
r**(-471)
Simplify ((n*n*n*n**(1/6)/n*n*(n*n**(-5))/n)**43)**0 assuming n is positive.
1
Simplify ((d*d**(1/5))**39*d**(1/9)/d*d**3)**(-5/4) assuming d is positive.
d**(-2201/36)
Simplify (c*c/(c*c*c**(2/13)*c*c)*c*c)/(c/(c*c/(c**(-2/9)/c)))*(c**4/c)/((c**(2/3)/c)/c) assuming c is positive.
c**(749/117)
Simplify b**0/b**(-1/6)*(b/(b*b/(b/(b/b**(-4)))))**(1/4) assuming b is positive.
b**(-13/12)
Simplify x*x**(-9)*x*x**(-12)/x*x*x*(x/((x*x/(x*x/(x*x**(-9))))/x))**(-38) assuming x is positive.
x**(-398)
Simplify ((d**(11/3)*d*d)/((d**(-1)/d)/d))/(d**(-10/9)*d/(d**(-1/2)/d)*d) assuming d is positive.
d**(113/18)
Simplify (v*((v/v**(-3/8))/v)/v*v*v*v)**(2/115)/(v**(-13)*(v*v**13)/v*v) assuming v is positive.
v**(-433/460)
Simplify (((k*k/(k/((k**6/k)/k*k)))/((k/k**(-5))/k))/(k/(k*((k*k*k**(-2)*k*k)/k)/k))**(3/4))**(1/22) assuming k is positive.
k**(1/22)
Simplify v**10/(v**19*v)*(v**(-2/31)/v)**(16/3) assuming v is positive.
v**(-486/31)
Simplify ((m**(-2/5)*m)**(-34)*(m*m**0)**(-2/7))**(-21) assuming m is positive.
m**(2172/5)
Simplify ((s**(-1))**(9/5)*(s/(s*(s*s**(-5))/s))/s*(s**3/s)/s)**(-1/50) assuming s is positive.
s**(-8/125)
Simplify (f*f/((f**(-7)/f*f)/f))/(f/(f/f**(-4)*f))*(f**(-1/6)/f)/f*f**4*f assuming f is positive.
f**(107/6)
Simplify (u*u**2*u)**(-37)*u/(u*((u/u**(1/11))/u*u*u)/u)*u*u**(1/3)/u assuming u is positive.
u**(-4903/33)
Simplify ((l**(-3/8))**(1/27))**(2/77) assuming l is positive.
l**(-1/2772)
Simplify ((b**(2/31)/b)/(b*b**(-12)*b))/(b**(2/13)/b**2) assuming b is positive.
b**(4397/403)
Simplify (h*h*h**(2/9))/h*h**(-10)*(h**(-2)*h)/h*h**(-19/2) assuming h is positive.
h**(-365/18)
Simplify (o**3)**4*o**(-1)*o*o**(3/10)/o*o assuming o is positive.
o**(123/10)
Simplify o**19*o/(((o/(o**18/o))/o)/o)*(o**7*o)**(-7) assuming o is positive.
o**(-18)
Simplify ((t*t*t**10)/(t/(t*(t**(2/27)*t*t)/t)))/(t/(t*t**(2/13)))**4 assuming t is positive.
t**(4805/351)
Simplify (p**(-5)*(((p/(p*p*p**6*p))/p)/p)/p)/(p**7)**36 assuming p is positive.
p**(-268)
Simplify (((o**(2/15)*o)/o**(-11/3))/(o*(o/(o*o**(-11)))/o*o/o**(1/4)*o))**(7/3) assuming o is positive.
o**(-371/20)
Simplify (s/(s/s**12*s))**(-2/27)/((s*s**(-6/11))/s*s*s**(8/7)) assuming s is positive.
s**(-5015/2079)
Simplify (x*x**(-3/2))/x**(6/11)*x*x*x**(-2/17)*x/x**1 assuming x is positive.
x**(313/374)
Simplify ((q/q**(-3/8))/q**12)**(1/3) assuming q is positive.
q**(-85/24)
Simplify (r**(-2/37)/(r**31/r*r))/(r*(r*r/(r/(r*r/(r*r/r**(-3/8)))))/r)**(-3/19) assuming r is positive.
r**(-174093/5624)
Simplify (i**7*i)**14*(i*i*i*(i/(i*i**(-10)))/i*i*i*i*i)**(-1/7) assuming i is positive.
i**(768/7)
Simplify (((y*y/y**(1/10))/(y/y**(-3/4)))**(15/2))**(5/12) assuming y is positive.
y**(15/32)
Simplify (j**(-1))**45/(j**(-3))**40 assuming j is positive.
j**75
Simplify (r*r**(-6/19)*r)**42/(r/(r*r**(-6)*r)*r*r)**27 assuming r is positive.
r**(-2247/19)
Simplify (c**10*c**(3/10)*c)**(-17) assuming c is positive.
c**(-1921/10)
Simplify p/p**(-1/15)*p/p**(3/4)*(p/(p*p*p/(p/p**(-10/7))))/(p/(p*p/(p/(p**(2/49)/p))*p)) assuming p is positive.
p**(5251/2940)
Simplify (g**(-10)*g)**(-23)*(g/g**(-1/6))**(2/7) assuming g is positive.
g**(622/3)
Simplify h**(-4/3)*h*h*h/(h/h**(-2/25))*h*h*h**(-3/4)/h*h**(-2/5)*h*h*h assuming h is positive.
h**(1031/300)
Simplify (((t/t**(-3/4))/(t**2/t*t*t))**4)**(-26) assuming t is positive.
t**130
Simplify ((b**7/b)/b*b*b**(-2)*b)/((b/(b/b**(1/6)*b))/b*b*b*b**(-1)/b) assuming b is positive.
b**(41/6)
Simplify ((h**(-9)/h*h)/h)**(-4/25)/(h**(2/7)/h*h)**(-45) assuming h is positive.
h**(506/35)
Simplify (w**(-2/11))**(-40)*w*w**(1/4)/w*w**(-1/10) assuming w is positive.
w**(1633/220)
Simplify (r**(2/13))**(8/7)*r**(2/5)*((r**16/r)/r*r*r)/r assuming r is positive.
r**(7087/455)
Simplify ((s/s**(-11))/(((s/s**(5/7)*s)/s)/s*s))/(s*s/s**(1/4)*s)**(-6/7) assuming s is positive.
s**(197/14)
Simplify ((d**(-4)/d)/d*d)**(23/4)*(d**(2/3))**(2/33) assuming d is positive.
d**(-11369/396)
Simplify (c*c**(3/4))/c*c**(-11)*(c/(c/(c*c**5*c*c)))**35 assuming c is positive.
c**(1079/4)
Simplify (b*b*b/(b/b**19))/b**(-14)*b**19/(b*b**(-11/3)) assuming b is positive.
b**(170/3)
Simplify (((v**1/v)/v*v)**(1/15)*v**(-7/5)*v**4/v)**(-2/65) assuming v is positive.
v**(-16/325)
Simplify (t*t**(-6/5))**(-1/26)/(t*t/t**6)**(-6/25) assuming t is positive.
t**(-619/650)
Simplify l**(-1)/((l**(-2/13)*l)/l)*l**(-10/11)/l**(2/9) assuming l is positive.
l**(-2545/1287)
Simplify (((z*z**5)/z**(-2/3))**(-22/7))**(-21) assuming z is positive.
z**440
Simplify ((c**(-2/7)*c*c*c)/(c/(c*c*c**1*c))*((c**(-4)*c)/c)/(c*c/(c**(-
|
{
"pile_set_name": "DM Mathematics"
}
|
ase 13) in base 14?
-71d
Convert -32636 (base 9) to base 2.
-101010010011100
What is -22401 (base 5) in base 6?
-11225
What is -221222121 (base 3) in base 13?
-8812
What is 43311 (base 5) in base 4?
232030
Convert 2d84 (base 14) to base 8.
17730
Convert 440103 (base 6) to base 8.
106747
What is -1001011000 (base 2) in base 15?
-2a0
What is -3423 (base 5) in base 9?
-602
What is -1812 (base 9) in base 11?
-1052
What is -1318 (base 13) in base 5?
-41400
What is a5 (base 12) in base 15?
85
-10524 (base 12) to base 11
-15161
Convert -2122110210 (base 3) to base 15.
-10689
Convert -123223 (base 4) to base 10.
-1771
Convert -1062 (base 10) to base 14.
-55c
What is -4288 (base 15) in base 3?
-201022102
-212022011 (base 3) to base 6
-210351
13300 (base 4) to base 2
111110000
Convert -3db (base 15) to base 16.
-371
What is 110100110100 (base 2) in base 4?
310310
What is -b2 (base 15) in base 9?
-205
What is -39c (base 13) in base 4?
-21330
-2654 (base 8) to base 2
-10110101100
What is -299 (base 13) in base 6?
-2052
What is -220102 (base 3) in base 7?
-1631
-47550 (base 8) to base 5
-1122303
Convert -104 (base 13) to base 10.
-173
-400 (base 6) to base 7
-264
Convert -2221101 (base 4) to base 16.
-2a51
36770 (base 8) to base 6
201240
Convert 2231 (base 4) to base 7.
335
What is 10b6 (base 13) in base 3?
10012220
Convert -102011122 (base 3) to base 16.
-1fd0
-324222 (base 5) to base 10
-11187
What is -330124 (base 5) in base 15?
-3529
What is -302020 (base 4) in base 15?
-e3d
What is 246 (base 13) in base 16?
18c
What is 3020 (base 5) in base 14?
1d7
What is -10102210 (base 3) in base 15?
-b20
Convert -14435 (base 6) to base 13.
-10a0
-403030 (base 6) to base 7
-161424
What is -2151 (base 8) in base 6?
-5121
Convert -427 (base 12) to base 16.
-25f
20405 (base 9) to base 15
3ebb
Convert 10346 (base 9) to base 4.
1222332
What is 28578 (base 9) in base 14?
711c
Convert -122133 (base 7) to base 4.
-11131200
Convert -1124321 (base 5) to base 6.
-235150
What is 3631 (base 7) in base 15?
5ea
-127 (base 15) to base 13
-172
What is 1101011100000000 (base 2) in base 10?
55040
Convert 4303 (base 9) to base 11.
2415
What is -524 (base 7) in base 13?
-173
What is 8a4 (base 15) in base 2?
11110100010
-11133311 (base 4) to base 16
-57f5
1001 (base 5) to base 8
176
1633 (base 8) to base 9
1235
What is -20201 (base 3) in base 11?
-155
Convert -10202 (base 8) to base 14.
-177c
What is -1001011110001 (base 2) in base 3?
-20122121
-1433223 (base 5) to base 8
-73346
-27b8 (base 15) to base 12
-4b02
What is -35747 (base 10) in base 14?
-d055
Convert 31310 (base 6) to base 9.
5706
What is -3101 (base 11) in base 6?
-31015
-621 (base 8) to base 13
-24b
12123 (base 4) to base 9
506
Convert 291 (base 13) to base 16.
1c8
What is 14c9 (base 15) in base 10?
4464
Convert -b07 (base 13) to base 2.
-11101001010
What is 166231 (base 8) in base 10?
60569
What is 210101 (base 3) in base 15?
287
Convert 2a (base 16) to base 7.
60
Convert -11111 (base 2) to base 9.
-34
What is 41340 (base 9) in base 11?
19525
What is -102010 (base 3) in base 7?
-606
Convert 361 (base 8) to base 3.
22221
What is -1667 (base 9) in base 12?
-8a4
What is -11111100100 (base 2) in base 8?
-3744
What is -472 (base 11) in base 8?
-1063
-7604 (base 13) to base 3
-211111022
Convert -2569 (base 10) to base 3.
-10112011
What is 1285 (base 10) in base 14?
67b
What is 101000100110 (base 2) in base 16?
a26
What is -3143 (base 8) in base 6?
-11323
What is -3224 (base 6) in base 16?
-2e0
Convert -40c (base 14) to base 9.
-1074
-22838 (base 9) to base 6
-154355
What is -1bd (base 15) in base 14?
-20b
314 (base 9) to base 6
1104
Convert -104323 (base 5) to base 4.
-322001
124050 (base 7) to base 15
6c46
-935 (base 10) to base 9
-1248
Convert 334 (base 12) to base 13.
2a4
What is -721 (base 10) in base 6?
-3201
Convert -1530 (base 7) to base 12.
-429
12251 (base 7) to base 10
3221
Convert 111000 (base 3) to base 9.
430
What is -c48 (base 13) in base 10?
-2088
What is -ca (base 15) in base 10?
-190
What is -11438 (base 10) in base 12?
-6752
Convert 6b85 (base 12) to base 3.
121112102
What is 22326 (base 9) in base 11?
10178
Convert -12260 (base 11) to base 2.
-100010011001011
What is 35151 (base 8) in base 10?
14953
110100110010001 (base 2) to base 14
9bc5
Convert 10011100001000 (base 2) to base 8.
23410
-12322101 (base 4) to base 15
-85c0
Convert 8278 (base 12) to base 2.
11011101111100
What is -423012 (base 5) in base 3?
-201101102
Convert 504 (base 12) to base 9.
884
Convert -2a1 (base 14) to base 11.
-445
Convert c0 (base 14) to base 12.
120
Convert 5005 (base 6) to base 15.
4c5
What is -3431 (base 8) in base 12?
-1075
What is 462 (base 10) in base 14?
250
Convert -295 (base 10) to base 15.
-14a
What is -10010111111101011 (base 2) in base 16?
-12feb
1006 (base 7) to base 8
535
Convert -948 (base 13) to base 16.
-62d
611 (base 15) to base 3
1212121
What is 65506 (base 7) in base 15?
4cb7
What is 3123332 (base 4) in base 2?
11011011111110
What is -2203031 (base 4) in base 12?
-6065
Convert 11261 (base 13) to base 6.
400155
-c0b (base 14) to base 8
-4473
21210330 (base 4) to base 16
993c
What is -3252 (base 9) in base 13?
-1124
164577 (base 8) to base 15
12aa0
Convert -2210120 (base 3) to base 9.
-2716
Convert -1000101100 (base 2) to base 12.
-3a4
Convert 13 (base 8) to base 10.
11
What is 63655 (base 7) in base 11?
10936
What is -121101 (base 3) in base 11?
-372
Convert 13050 (base 6) to base 7.
5520
Convert -14503 (base 10) to base 5.
-431003
Convert -62663 (base 7) to base 15.
-488b
Convert 10520 (base 9) to base 10.
6984
2201 (base 4) to base 2
10100001
Convert 68757 (base 10) to base 12.
33959
Convert -151a (base 16) to base 14.
-1d7c
132122 (base 5) to base 10
5287
What is -2384 (base 9) in base 15?
-7d7
What is 691 (base 11) in base 3?
1010121
Convert -25d1 (base 14) to base 4.
-1213323
Convert -3023 (base 4) to base 13.
-128
What is -326a (base 12) in base 6?
-41414
Convert 665 (base 15) to base 3.
1222112
111001000101 (base 2) to base 11
2821
Convert 531 (base 7) to base 9.
326
Convert -16564 (base 8) to base 12.
-4444
Convert 55760 (base 9) to base 12.
19553
Convert -1111202111 (base 3) to base 12.
-15241
Convert -21010 (base 4) to base 10.
-580
200 (base 4) to base 9
35
-3c (base 14) to base 12
-46
-10354 (base 8) to base 6
-32020
Convert -1478 (base 15) to base 12.
-2658
10100011 (base 2) to base 8
243
-289 (base 10) to base 16
-121
Convert 1324 (base 9) to base 4.
33202
Convert -12032 (base 4) to base 11.
-332
What is 110021 (base 3) in base 6?
1311
What is -4098 (base 10) in base 6?
-30550
What is 312 (base 11) in base 6?
1424
Convert -48991 (base 10) to base 12.
-24427
Convert -326 (base 10) to base 13.
-1c1
Convert 1013040 (base 6) to base 3.
2110200220
What is -32c9 (base 14) in base 6?
-104425
What is -400 (base 7) in base 14?
-100
What is -1b3 (base 16) in base 12?
-303
Convert -1244 (base 16) to base 12.
-2858
What is -c413 (base 15) in base 14?
-11146
-1122025 (base 6) to base 2
-1110000010000001
50237 (base 8) to base 3
1001022102
-1209 (base 10) to base 4
-102321
-97a (base 11) to base 9
-1546
-381 (base 12) to base 7
-1354
135424 (base 6) to base 7
52423
2a196 (base 12) to base 5
3342020
-6050 (base 9) to base 13
-201c
-121620 (base 7) to base 8
-53364
Convert 42 (base 13) to base 4.
312
Convert 113412 (base 8) to base 15.
b6cb
What is -9 (base 13) in base 6?
-13
Convert -111166 (base 8) to base 3.
-1220102200
What is 119 (base 13) in base 10?
191
110001010 (base 2) to base 7
1102
Convert a29 (base 12) to base 15.
683
Convert 681 (base 11) to base 14.
423
-bb (base 14) to base 4
-2211
-e2 (base 15) to base 4
-3110
14a0 (base 11) to base 6
12525
1122021210 (base 3) to base 4
13320132
Convert -4300 (base 6) to base 12.
-690
What is 10034 (base 5) in base 4?
22010
-5724 (base 8) to base 14
-1164
Convert -3115 (base 9) to base 2.
-100011101010
What is -14231 (base 5) in base 7?
-3321
Convert 7 (base 13) to base 12.
7
Convert 398 (base 12) to base 10.
548
Convert 44a (base 15) to base 6.
4254
Convert -60b6 (base 14) to base 11.
-11543
2f79 (base 16) to base 15
3903
-931 (base 10) to base 3
-1021111
What is -a10 (base 12) in base 7?
-4143
101111111 (base 2) to base 12
27b
Convert -1111211 (base 3) to ba
|
{
"pile_set_name": "DM Mathematics"
}
|
a.
3
Let l be (-2)/((50/(-65))/5). Suppose -3*d + l*d = 3*d. Solve 2*g = -d*g for g.
0
Let x be (-2)/(-7) - 759/(-161). Solve 4*z - x*z = -3 for z.
3
Suppose -15*l = -13*l + 20. Let w = -6 - l. Solve -w*c + 6 = 26 for c.
-5
Suppose -5*k = 4*b + 34 - 84, 2*k - 22 = -2*b. Solve 0 = c + 1 - k for c.
5
Let i(v) = -v**3 - 10*v**2 - 15*v + 11. Let y(l) = -4*l - 4. Let a be y(1). Let b be i(a). Solve -2*u - b*u = -25 for u.
5
Let t be 3 - ((-6)/10)/(4/(-20)). Suppose 4*f - q - 9 = 0, 2 = 3*f + 4*q - t. Solve 0 = f*v - 12 + 2 for v.
5
Let a = -2187 - -2190. Let l(c) = c**3 + 7*c**2 + 4*c - 8. Let n be l(-6). Solve a = -n*y - 9 for y.
-3
Let j(m) = -2*m - 6. Let u be j(-6). Let i be (-1)/2*(-14 - u). Suppose 0 = 4*f - l - 27, -l = -2*f - 0*l + 13. Solve -2*z - i = -f*z for z.
2
Let c = -165 - -154. Let l(f) = -f - 9. Let x be l(c). Let z = 2 + -2. Solve -i + 6 - x = z for i.
4
Let b(f) = -4*f - 54. Let n be b(-19). Solve 5*l = -n - 3 for l.
-5
Let s(x) = -x**3 + 8*x**2 - 5*x + 3. Let y be s(7). Suppose -y = -2*w + f, -5*w + 5*f = 1 - 51. Suppose -3*i + w*i - 16 = 0. Solve -1 - 11 = i*m for m.
-3
Suppose 0 = l - 3*l + 84. Suppose -l = a - 7*a. Solve 3*p - a*p - 8 = 0 for p.
-2
Let o(w) = -4*w - 8. Let j be o(-8). Suppose 8*k + j = 11*k. Solve 0*z = 2*z + k for z.
-4
Suppose 0 = -287*o + 285*o. Solve o*m = m - 2 for m.
2
Let t(d) = -d**3 + 6*d**2 + 7*d + 4. Suppose 6 = 4*g - 22. Let z be t(g). Solve 0*m + z*m = -8 for m.
-2
Suppose -n - 5*l - 4 + 26 = 0, -20 = -4*n - 3*l. Suppose -3 = -2*g - 3*o + 9, -o = -n. Solve -g*t = -0*t + 15 for t.
-5
Suppose 58 = -2*v - 5*u - 21, -3*v - 84 = -4*u. Let b = 24 + v. Let i be ((-4)/b)/(2/24). Solve -i*y = -y + 20 for y.
-4
Suppose 2*i + 0*i - 108 = 0. Suppose 4*g - 6 = i. Let l = g - 12. Solve l = q + 1 for q.
2
Let r be -1*(-1)/2*2. Let p be 1/((-1)/(-2)) - 0/(-27). Let h be (-3)/(-2) + r/p. Solve h*j + j - 6 = 0 for j.
2
Let p(z) = z**2 + 2*z - 5. Let m be p(-3). Let a be m + 4*4/8. Suppose 4*h = -a*h. Solve h*c = 4*c for c.
0
Let y(k) = -23*k - 89. Let s be y(-4). Solve -s = -2*o + 3*o for o.
-3
Suppose j + 16 = -0*g - 4*g, -5*g = 5*j + 5. Suppose -n = j*n - 115. Let v = n - 18. Solve 5 = v*h - 0 for h.
1
Let d be 1*-10 - (5 + -7). Let p be (-6)/d - (-48)/(-64). Solve p*t - 15 = -3*t for t.
5
Let j(d) = -d**2 + 10*d - 11. Let l be j(9). Let g be (-1)/(l/(-4)) + (-2 - -4). Solve g = y - 0 + 2 for y.
-2
Let i be (3 + -5)/((-3)/12). Solve i = 5*y - y for y.
2
Let x(b) = b**3 - 3*b**2 + 3*b - 7. Let s be x(3). Solve 2*h + 8 = s for h.
-3
Suppose 0 = -3*x - 0*x + 3. Suppose 0 = 3*c + 5*r, 2*c - 3 - x = -2*r. Let y be (258/(-430))/(0 - 1/5). Solve 2 = -c*a - y for a.
-1
Suppose i + 3*i - 40 = 0. Suppose 0 = 11*g - i*g - 2. Solve -3*j + g = -1 for j.
1
Let n(r) = -r**3 - 13*r**2 + 15*r + 10. Let g be n(-14). Let w be (g - (-6 - -3))*-2. Suppose -w*u + 4*u = 2. Solve -u = v - 5 for v.
4
Let q(z) = -2 - 2 + 6*z - 15*z - 2*z**2 + z**2. Let h be q(-6). Let w = -11 + h. Solve r = w*r + 2 for r.
-1
Let m(r) = r**3 - 5*r**2 + 7*r - 9. Let b be m(4). Solve 0 = b*f - 11 + 2 for f.
3
Let a(m) = m**2 - 2*m - 2. Suppose -16 = -5*r + 4. Let f be a(r). Solve -4*l = -l + f for l.
-2
Suppose 2*f - 10 = 2. Let t be (6/(-9))/((-2)/f). Let k be ((-12)/16)/(t/(-16)). Solve 0 = i - 3*i + k for i.
3
Let j be 15/2*16/(-8). Let t = 19 + j. Solve -9*x = -t*x - 15 for x.
3
Suppose -9*f + 80 + 28 = 0. Solve 2 + 10 = f*y for y.
1
Suppose -5*x = -2*f + 45, x - 12 = -3*x. Solve 6*a = f - 48 for a.
-3
Suppose 6*n - 42 = -30. Solve -4 = n*q - 0 for q.
-2
Suppose 0 = 3*b + b. Suppose 3 = i - 3*n, 0 = -17*n + 21*n. Suppose -3*z - i = -b*z + 4*f, 0 = -4*z - 2*f + 6. Solve 4*t - 3 = z*t for t.
3
Let p = 471 - 414. Solve -52 = -q - p for q.
-5
Suppose 0 = u + 4*u - 15. Let x = -3 + u. Suppose -9*j = -6*j - 36. Solve -3*q + 6*q + j = x for q.
-4
Suppose 5*w - 4*w - a = 0, -16 = -5*w - 3*a. Suppose -4*n + 20 = -5*d, 4*n + 4*d + 9 = -7. Solve -b - w = -n for b.
-2
Suppose 5*u - 58 + 53 = 0. Suppose -3*q = -5*f + 21, 3 = 2*f - 3*q - 9. Suppose -2*r + 5*t = -24, -t - f = r - u. Solve -j = -3*j - r for j.
-1
Suppose p = -p - 2. Let g(j) = -3*j**3 - j**2 - 2*j - 1. Let k be g(p). Suppose 2 = -0*x + x. Solve -x*h + 10 = k*h for h.
2
Let n be 65/55 - (48/22 + -2). Solve n = v - 2*v for v.
-1
Let m = -63 + 65. Solve -m*v = -8 + 6 for v.
1
Let v(w) = -2*w**2 - 4*w - 5. Let d be v(-3). Suppose 2*b - 34 - 28 = 0. Let m = b + d. Solve -m = -0*z + 4*z for z.
-5
Let o(v) = 2*v - 14. Let x be o(6). Let u(k) = -2*k**3 - 3*k**2 - 2*k - 2. Let n be u(x). Solve 4*s + n = s for s.
-2
Let l(y) = -32*y - 192. Let p be l(-6). Solve -7*o + 9*o - 2 = p for o.
1
Suppose -5*t = c - t - 117, 3*c - t - 286 = 0. Suppose -a = 5*p - c, a = 2*p - 0*a - 43. Solve -2*v = -7*v - p for v.
-4
Let n(h) = -h**3 + 17*h**2 - 64*h - 11. Let v be n(11). Solve 0*c - 44 = v*c for c.
-4
Let y be (-2)/16*2 - (-7)/28. Solve -5*z + 3*z - 8 = y for z.
-4
Let u(p) be the third derivative of p**4/8 - 5*p**3 + 15*p**2. Let l be u(10). Solve -5*i + 3*i = l for i.
0
Suppose -2*h = -16*h + 280. Solve -22*y = -26*y - h for y.
-5
Let y be (9/9)/(2 - (-14)/(-8)). Suppose y*i - 8 + 0 = 0. Solve -2*b = i*b - 8 for b.
2
Suppose -432 = 19*n - 22*n. Let x be (-2)/16 - n/(-128). Let o be x - (-6 + -1 - -4). Solve 2 = -o*g - 10 for g.
-3
Let p(u) be the second derivative of u**4/12 + u**3/3 + u**2/2 + 3*u. Let t be p(2). Suppose -3*m + 3 + t = 0. Solve -l + 5 - m = 0 for l.
1
Suppose 5*s = 10*s. Suppose s = 7*u - 2*u - 40. Let p(l) = l**2 + 9*l - 8. Let q be p(-10). Solve q + u = -2*x for x.
-5
Let d = 1067 + -1065. Solve d - 32 = -10*o for o.
3
Let p(s) = -s**3 + 11*s**2 - 16*s - 15. Let l be p(9). Solve 0*j + l*j - 15 = 0 for j.
5
Let g = -2121 + 2132. Solve 3 = g*y - 41 for y.
4
Let r be (-2)/7*56/(-8). Let i be (-17 - -2)*6/(-10). Suppose 1 = -r*m + i. Solve m = 2*z - 3*z for z.
-4
Suppose 0 = 8*q - 30 - 10. Suppose -q*g + 2 = -8. Solve g*m - 7*m = -10 for m.
2
Let r(t) = -2 + 4 + t - 1. Suppose x - 30 = -4*x. Let j be r(x). Solve 5*l = -j - 18 for l.
-5
Suppose 0 = -3*n - 127 - 26. Let t = -29 - n. Let q = -19 + t. Solve -9 = q*p + 6 for p.
-5
Suppose -4*c = 2*v + 42, -4*v = -2*c - c - 26. Let q(j) = j**2 + 7*j - 7. Let k be q(c). Let d = k + -15. Solve -3*p + p = d for p.
-4
Let c(i) = i + 1. Let j be c(-3). Let k be 24/(j + 0) - -2. Let a = k - -12. Solve a*d = -3*d + 15 for d.
3
Suppose 16 = -3*i + 5*v - 6, -18 = -3*i - 3*v. Let j be (0/2)/(-2 - i). Suppose 4*h + 4*s - 12 - 20 = 0, -3*h + 5*s = 8. Solve -2*c + 4 + h = j for c.
4
Let j = 4755 + -4740. Let o be (-5)/(-4)*(1 - -3). Solve -5*w - j = -o for w.
-2
Let f(d) = d + 1. Let s(n) = -2*n + 2. Let a be s(-2). Suppose -2*j + 2 = -a. Let r be f(j). Solve -r = b - 0 for b.
-5
Let f(c) = c**3 + 4*c**2 - 6*c. Let m be f(-5). Suppose -m*y + 5*s + 55 = 0, 5*y - s - 16 - 27 = 0. Solve 4*x - y*x = -4 for x.
1
Let i be ((6 - 0) + -4)/2. Let t(o) = 24*o + 5*o**3 - 4*o**3 + 8*o**2 - 3 - 25*o. Let b be t(-8). Solve 0 = 2*d + i - b for d.
2
Suppose 2*w - 5*m = -9, 2*w - 3*w - m + 13 = 0. Suppose -4*v = 4*i - w, -2*v = -3*i - 1 - 3. Solve i = 3*q - q - 6 for q.
3
Let l = -206 + 225. Solve 2*r - 15 = -l for r.
-2
Let m = -4 - -6. Suppose 4*r = m*r + 54. Suppose 5*j - r = -4*q, -5*j - 2 = -17. Solve 3*f - 4*f = q for f.
-3
Suppose -14*l - 1 = -57. Solve l*f = 6*f for f.
0
Suppose -117*f = -118*f + 13. Solve 23*n + f = 10*n for n.
-1
Let q(t) = t**3 + 7*t**2 + 8*t - 10. Let d be q(-5). Suppose 5 = -2*c + 7*c - a, -a + 5 = d. Solve -6*m = -c*m for m.
0
Suppose 3*f + 0 - 6 = 0. Solve -2*g = f*g + 4 for g.
-1
Suppose 3*i + 17 = 47. Suppose 0*f + 2*f + u = -5, -f + i = -2*u. Let t be (-3)/(-9)*f - -5. Solve -t*s + 23 = 3 for s.
4
Suppose 136*y = 123*y - 91. Let k be 124/(-8) - (-2)/4. Let x be (-10)/k + y/(-3). Solve 4*c + x - 11 = 0 for c.
2
Suppose 15 = h - 3*u, 5*h + u + 10 = 7*h. Solve -4*b = -b + h*b for b.
0
Let v(h) be the second derivative of -h**5/20 + 5*h**4/12 + h**3/6 - 3*h**2/2 + 25*h. Let i be v(5). Solve 0*a = i*a for a.
0
Let k be 6 + -2 - (-6)/(-3). Let i(z) = 2 + 0*z - 6*z**3 + 5*z**2 + 5*z**3 - 5*z. Let y be i(k). Solve 2 = y*a - 10 for a.
3
Suppose -2*j - 3*k + 1 = 0, 3*k + 7 = -j + 3*j. Suppose -5*h - 64 = -9*h. Suppose -g + 3*r - 2*r = -h, 2*g - 5*r = 44. Sol
|
{
"pile_set_name": "DM Mathematics"
}
|
-1/2, 0, 5/6
Put 28/3, 1/23, -0.34, 1/3 in descending order.
28/3, 1/3, 1/23, -0.34
Put -1/2, 0.3, 2/13, -4/7, 8, -0.6 in descending order.
8, 0.3, 2/13, -1/2, -4/7, -0.6
Put -25, 2, -2, -9873 in descending order.
2, -2, -25, -9873
Put -142, -1, -78, -4 in ascending order.
-142, -78, -4, -1
Sort -3, -15, 5, 898, 3.
-15, -3, 3, 5, 898
Put -3, 2, -13, 38 in ascending order.
-13, -3, 2, 38
Put -7, 9, -30, 1, -5, 7 in decreasing order.
9, 7, 1, -5, -7, -30
Sort 737, 0, -177 in decreasing order.
737, 0, -177
Sort 17, 1/5, -1/3, 2/7, 4.
-1/3, 1/5, 2/7, 4, 17
Put 1/3, 265, -2/9, 9, 60 in descending order.
265, 60, 9, 1/3, -2/9
Sort 218, -968, 2, -2.
-968, -2, 2, 218
Sort 88, 4, -7633, 2 in decreasing order.
88, 4, 2, -7633
Put 0, -6, -3, 5, 505, 2 in decreasing order.
505, 5, 2, 0, -3, -6
Put 5, -5, 26, 6, -41 in ascending order.
-41, -5, 5, 6, 26
Sort -10, 10/9, 3, 2, 94 in decreasing order.
94, 3, 2, 10/9, -10
Sort 40, -1, 3/4, -413, 0.1.
-413, -1, 0.1, 3/4, 40
Put 1/5, 2, 3, 1, -0.05282, -3/5 in descending order.
3, 2, 1, 1/5, -0.05282, -3/5
Put -5, 2.14, -4, 603 in decreasing order.
603, 2.14, -4, -5
Put 2, -43, 1, 564 in descending order.
564, 2, 1, -43
Sort -5, -193, 2723 in ascending order.
-193, -5, 2723
Put 63, -9, 10, 6, 12 in descending order.
63, 12, 10, 6, -9
Put 2/5, 49, 519/4 in descending order.
519/4, 49, 2/5
Sort -1, 2, 1, 190, -0.02, 3/8 in decreasing order.
190, 2, 1, 3/8, -0.02, -1
Sort 5/11, 15, -1/3 in decreasing order.
15, 5/11, -1/3
Put -275, 6, -2, 2 in decreasing order.
6, 2, -2, -275
Sort 8/3, 3, 0.6, -0.2, 13 in ascending order.
-0.2, 0.6, 8/3, 3, 13
Sort 0.5, -3/2, -73.8, 3/7, -3/5 in descending order.
0.5, 3/7, -3/5, -3/2, -73.8
Sort -3114, -3, -9, -2.
-3114, -9, -3, -2
Sort -5, -2, -1561, -66, 0 in descending order.
0, -2, -5, -66, -1561
Sort 3150/13, -0.01, 2/3 in ascending order.
-0.01, 2/3, 3150/13
Sort 0.1, -1, 0.2, 33, -3394 in ascending order.
-3394, -1, 0.1, 0.2, 33
Sort 7/4, 0.101, 2, 0, 5.
0, 0.101, 7/4, 2, 5
Sort 385, 0.4, -4.
-4, 0.4, 385
Put 2, 3, 31202 in descending order.
31202, 3, 2
Sort -47080, 0, 3, 5 in increasing order.
-47080, 0, 3, 5
Put 551, 0.1, 1/5, -4, -2/9, 0.4 in decreasing order.
551, 0.4, 1/5, 0.1, -2/9, -4
Sort -0.02, 0.03, 1/2, -2/9, -120.
-120, -2/9, -0.02, 0.03, 1/2
Sort 6, 3, 4, 1, -25 in decreasing order.
6, 4, 3, 1, -25
Put 60, -7, 1, -4, -2 in increasing order.
-7, -4, -2, 1, 60
Sort 49935, 2, 0 in descending order.
49935, 2, 0
Put 79, -0.2, -78 in decreasing order.
79, -0.2, -78
Put 0.07, -31, 4, -1, -5, -0.9 in descending order.
4, 0.07, -0.9, -1, -5, -31
Sort 5, 73, 38 in decreasing order.
73, 38, 5
Sort 5, -2, 41, 3 in descending order.
41, 5, 3, -2
Put -600, 3, 696 in increasing order.
-600, 3, 696
Sort 84, 28, -5, -94 in ascending order.
-94, -5, 28, 84
Sort -25, 3, 5, -5, 4.
-25, -5, 3, 4, 5
Put -1, 0, 1, -3, -374 in descending order.
1, 0, -1, -3, -374
Put 0, 0.3, 0.0138, -5, 2/11, 0.2 in decreasing order.
0.3, 0.2, 2/11, 0.0138, 0, -5
Put 1/5, -90, -3, -16 in descending order.
1/5, -3, -16, -90
Sort -6, -215, 2 in decreasing order.
2, -6, -215
Put 5927/5, -1, 9 in descending order.
5927/5, 9, -1
Sort 4, 5, 86738.
4, 5, 86738
Put 58855, -2, -5 in ascending order.
-5, -2, 58855
Sort 123, -0.01, 0.4, 1/5, 2 in decreasing order.
123, 2, 0.4, 1/5, -0.01
Put 145, -0.6, -3, 7, 18, -1/8 in descending order.
145, 18, 7, -1/8, -0.6, -3
Put 4.6, -1, 5, -5, 16, 10 in decreasing order.
16, 10, 5, 4.6, -1, -5
Put -37, -3, -0.2599, 0 in increasing order.
-37, -3, -0.2599, 0
Sort 2077, 5, 4, 0 in descending order.
2077, 5, 4, 0
Put 0.0049148, -5, 2 in descending order.
2, 0.0049148, -5
Put 2, -246.1, 4, -3/4 in increasing order.
-246.1, -3/4, 2, 4
Put -44, -13/2, -0.01 in descending order.
-0.01, -13/2, -44
Sort -0.003, -1/3, -2/41, -0.5, 4.
-0.5, -1/3, -2/41, -0.003, 4
Put -96, 0, 13, 2, 3 in ascending order.
-96, 0, 2, 3, 13
Put -8, 2/11, -0.42, 1, 0.5 in ascending order.
-8, -0.42, 2/11, 0.5, 1
Sort 26, 16, -17, -5, 2 in ascending order.
-17, -5, 2, 16, 26
Put -3, 2, 14, 0, 654 in decreasing order.
654, 14, 2, 0, -3
Sort 13, 3, 1, -227, 0 in increasing order.
-227, 0, 1, 3, 13
Put -5, -0.2, -8/7, 0.7, -6/11 in descending order.
0.7, -0.2, -6/11, -8/7, -5
Put -3/163, 0.5, 0.2, 2/7, 0 in increasing order.
-3/163, 0, 0.2, 2/7, 0.5
Sort -13, -1180, -2 in descending order.
-2, -13, -1180
Put -1, -48200, -7, 5, 1 in increasing order.
-48200, -7, -1, 1, 5
Sort 1, -3, 4, -12 in descending order.
4, 1, -3, -12
Sort -0.09, 14/11, 3, 2/3, 6/31.
-0.09, 6/31, 2/3, 14/11, 3
Sort -2, -25, 882, 5.
-25, -2, 5, 882
Put 155, -5, 7, 1, -3, -4 in descending order.
155, 7, 1, -3, -4, -5
Sort 0.3, -0.049, 2/7, -4/25 in decreasing order.
0.3, 2/7, -0.049, -4/25
Sort -0.1, 3, -2/5, 7, -2, 752 in ascending order.
-2, -2/5, -0.1, 3, 7, 752
Sort 4, 0.4, -4, -3/7, -1/60, 3 in descending order.
4, 3, 0.4, -1/60, -3/7, -4
Put 0.05, -0.3, -6, -1633 in increasing order.
-1633, -6, -0.3, 0.05
Sort 1, -18.5, 721, -1/4 in decreasing order.
721, 1, -1/4, -18.5
Sort 91.299, 0.2, 1/3, -5 in ascending order.
-5, 0.2, 1/3, 91.299
Sort -1, 761, 2, -0.4.
-1, -0.4, 2, 761
Sort -747, -5, -2, 5, 2 in descending order.
5, 2, -2, -5, -747
Sort 1765, -5, 4 in decreasing order.
1765, 4, -5
Sort 3, 4, 193, 5, 0, -4.
-4, 0, 3, 4, 5, 193
Sort -0.7, 2, -8/13, -23 in increasing order.
-23, -0.7, -8/13, 2
Sort 203, -2/23, -4 in decreasing order.
203, -2/23, -4
Put -0.1, -4, 0.8, 0.2, -0.03 in descending order.
0.8, 0.2, -0.03, -0.1, -4
Put -2/13, -16, -0.4, -8.7 in decreasing order.
-2/13, -0.4, -8.7, -16
Sort -5, 2, -3, -0.3, 248 in descending order.
248, 2, -0.3, -3, -5
Sort -2, 0, -5, 1, -29, -3 in ascending order.
-29, -5, -3, -2, 0, 1
Sort 10, 5, -4, -3, 4, 71.
-4, -3, 4, 5, 10, 71
Sort -2, 9, 31, 3, 6 in increasing order.
-2, 3, 6, 9, 31
Put -4, -33, -1, -295 in increasing order.
-295, -33, -4, -1
Put 0, 3/20, -3, -5/3, -31, 0.1 in decreasing order.
3/20, 0.1, 0, -5/3, -3, -31
Sort -2, -4, 2011, -5 in increasing order.
-5, -4, -2, 2011
Sort -5, 3, 121, -9, 5 in descending order.
121, 5, 3, -5, -9
Put -1, 4, 0, 3, -5, -863 in decreasing order.
4, 3, 0, -1, -5, -863
Put -5, 20, 99, -2 in descending order.
99, 20, -2, -5
Sort -502, -23, -18, 1 in decreasing order.
1, -18, -23, -502
Sort -0.5, -788, 69 in decreasing order.
69, -0.5, -788
Put -72, -9, -20 in ascending order.
-72, -20, -9
Put 1, 2, -13, 25, 29 in descending order.
29, 25, 2, 1, -13
Sort 2, -4/3, 6.4, 10, -5, -4 in ascending order.
-5, -4, -4/3, 2, 6.4, 10
Put 1, 6, 0, -5, 33, 8 in decreasing order.
33, 8, 6, 1, 0, -5
Sort -4, 23, 32, -1, -2.
-4, -2, -1, 23, 32
Put -0.4, 3, 69, 0.1, -0.9 in decreasing order.
69, 3, 0.1, -0.4, -0.9
Put -14, 5, 0, -52 in decreasing order.
5, 0, -14, -52
Put -9, 5, -18, 1, 33 in decreasing order.
33, 5, 1, -9, -18
Sort 19, 3, -1, -68, -3 in descending order.
19, 3, -1, -3, -68
Put -1/10, -0.8, 1/3, 8, 0.4 in decreasing order.
8, 0.4, 1/3, -1/10, -0.8
Sort 14905, 3, 0.23.
0.23, 3, 14905
Sort -0.1, -0.3, 26/129, 0.03 in ascending order.
-0.3, -0.1, 0.03, 26/129
Put 6, 17, -9.6 in descending order.
17, 6, -9.6
Sort -637, -1/10, 0.2, 5/3 in decreasing order.
5/3, 0.2, -1/10, -637
Sort 2, 1, 328, -5 in descending order.
328, 2, 1, -5
Put 26, 0, 1058 in increasing order.
0, 26, 1058
Sort 0.6, 4, 4/291, -5.
-5, 4/291, 0.6, 4
Put -2/9, 5, 676, 0.15 in increasing order.
-2/9, 0.15, 5, 676
Sort 0.2, -2, 3, -478, 0, -1/3 in ascending order.
-478, -2, -1/3, 0, 0.2, 3
Sort 0.2, -2/7, -0.06, -69/7, 0, 3.
-69/7, -2/7, -0.06, 0, 0.2, 3
Put 1.17, 2/37, 43 in decreasing order.
43, 1.17, 2/37
Sort 789, -2, -30, -1 in descending order.
789, -1, -2, -30
Sort -81, 434, 3, -4 in increasing order.
-81, -4, 3, 434
Sort -1.4953, 2/5, 5.
-1.4953, 2/5, 5
Sort -16857, -1.5, -5 in descending order.
-1.5, -5, -16857
Sort 23, -17, -68 in ascending order.
-68, -17, 23
Put 279, 2, -453, -1, 4 in ascending order.
-453, -1, 2, 4, 279
Put -0.1, -10, -3.2, 5, 79 in decreasing order.
79, 5, -0.1, -3.2, -10
Sort 3, 34, 1, -9, 4 in decreasing order.
34, 4, 3, 1, -9
Sort 4, 0.02545, -0.5 in decreasing order.
4, 0.02545, -0.5
Sort 0.5, -0.2, 3.0656.
-0.2, 0.5, 3.0656
Sort 19/28, 3, 4, -2/11, -1/7 in descending order.
4, 3, 19/28, -1/7, -2/11
Sort 78, 0, -28, 4, -9.
-28, -9, 0, 4, 7
|
{
"pile_set_name": "DM Mathematics"
}
|
that -2*o**2 + 3246*o + 19548 = 0.
-6, 1629
Factor u**2/5 - 168523952*u/5 + 7100080599424576/5.
(u - 84261976)**2/5
Factor 19*m**2/5 - 8402*m/5 - 173712/5.
(m - 462)*(19*m + 376)/5
Determine p, given that -5*p**4 - 1067590*p**3 - 56995960080*p**2 - 911643932410*p + 968640960085 = 0.
-106751, -17, 1
Find b such that -6*b**5/7 - 12056*b**4/7 - 8035532*b**3/7 - 1749939984*b**2/7 + 2542743406*b + 26824267096/7 = 0.
-673, -4/3, 11
Factor -2*p**2/3 - 13424*p/3 - 2300672/3.
-2*(p + 176)*(p + 6536)/3
Solve -215*s**4/6 - 6505*s**3/2 - 294500*s**2/3 - 1073120*s - 2284800 = 0.
-40, -24, -119/43
Find a such that a**5 + 363*a**4 - 19564*a**3 + 256512*a**2 - 237312*a = 0.
-412, 0, 1, 24
Let 5*g**3 - 2763915*g**2 - 5*g + 2763915 = 0. What is g?
-1, 1, 552783
Determine b so that -b**2/4 - 40077*b/4 + 100205/2 = 0.
-40082, 5
Suppose -i**2/4 + 311313*i/4 + 2646305/2 = 0. Calculate i.
-17, 311330
Factor 3*h**3/7 + 399243*h**2/7 + 798474*h/7.
3*h*(h + 2)*(h + 133079)/7
Factor -7*l**3/2 - 54655943*l**2/6 - 17781380928020*l/3 + 846732487112/3.
-(l + 1301332)**2*(21*l - 1)/6
Suppose -s**4 + 1917*s**3 - 1037535*s**2 + 102156919*s + 6876856980 = 0. Calculate s.
-45, 196, 883
Factor 2*d**2/5 - 19353368*d/5 - 3870674.
2*(d - 9676685)*(d + 1)/5
What is p in -p**2/2 - 449292*p - 14376832 = 0?
-898552, -32
Find j, given that 10840*j**2 - 145*j = 0.
0, 29/2168
Factor 2*i**3 - 25830*i**2 + 1210276*i - 8801712.
2*(i - 12868)*(i - 38)*(i - 9)
Factor -2*w**4 - 1888*w**3 - 1886*w**2.
-2*w**2*(w + 1)*(w + 943)
Find q such that -38086*q**4/3 - 2970698*q**3/3 - 25745876*q**2 - 669379256*q/3 + 175760/3 = 0.
-26, 5/19043
Let -k**3/5 + 248*k**2 + 936519*k/5 + 559674 = 0. Calculate k.
-527, -3, 1770
Factor -33*c**2 - 2807889*c + 19656840.
-3*(c - 7)*(11*c + 936040)
Solve 15*y**3 + 14105736*y**2 + 5642292*y = 0.
-940382, -2/5, 0
What is d in 2*d**3/7 + 13049402*d**2/7 - 13049416*d/7 - 78296424/7 = 0?
-6524702, -2, 3
Find g such that 3*g**3/2 - 298653*g**2/2 + 1791837*g/2 - 2687715/2 = 0.
3, 99545
Determine n so that -2*n**5 - 14176*n**4 - 25006010*n**3 + 404231844*n**2 + 883425024*n + 454201344 = 0.
-3552, -1, 18
Factor -q**4/3 + 309412*q**3 - 215407374388*q**2/3 + 287206119584*q - 861614645824/3.
-(q - 464116)**2*(q - 2)**2/3
Find a such that 4*a**5 + 1064*a**4 + 77756*a**3 + 924424*a**2 + 2244816*a + 1397088 = 0.
-126, -11, -2, -1
Factor n**4/2 - 113105*n**3/2 + 3198354907*n**2/2 - 9594046803*n/2.
n*(n - 56551)**2*(n - 3)/2
Factor -y**2 - 102423*y.
-y*(y + 102423)
Let -2*k**5/5 - 1578*k**4/5 + 206628*k**3/5 - 4960768*k**2/5 - 81641472*k/5 = 0. What is k?
-906, -11, 0, 64
Suppose -7*q**3/3 - 2311618*q**2/3 - 63617543485*q - 581581702848 = 0. Calculate q.
-165111, -64/7
Solve -3*j**2/7 - 402*j/7 + 3557376/7 = 0 for j.
-1158, 1024
Determine u so that -2*u**5/17 + 1164*u**4/17 - 7526*u**3 + 108732*u**2 = 0.
0, 17, 123, 442
What is n in -1625*n**3/3 - 3448*n**2 - 6063*n - 1782 = 0?
-3, -594/1625
Suppose 3*x**2/5 - 43886277*x/5 + 35109012 = 0. Calculate x.
4, 14628755
Factor -10*a**3 + 1951696455*a**2 - 95227975823565060*a - 47613988399706645.
-5*(a - 97584823)**2*(2*a + 1)
Determine z, given that 308*z**4/5 + 999316*z**3/5 - 18557336*z**2/5 + 8509616*z/5 - 939744/5 = 0.
-3263, 2/11, 2/7, 18
Suppose 27*r**4 - 1149*r**3 - 1704*r**2 - 528*r = 0. What is r?
-1, -4/9, 0, 44
Factor -4*p**2 + 22184632*p - 30759868560964.
-4*(p - 2773079)**2
Solve 11*j**5/3 - 9695*j**4/3 - 28174*j**3 - 26440*j**2/3 + 1349536*j/3 + 968320 = 0.
-51/11, -4, 4, 890
Determine a, given that a**3/7 - 7002*a**2/7 - 352704*a/7 + 733408/7 = 0.
-52, 2, 7052
Factor n**3 + 843*n**2 + 141215*n + 5800725.
(n + 63)*(n + 145)*(n + 635)
Factor -2*o**4/11 + 165122*o**3/11 - 3408076798*o**2/11 - 3408241922*o/11.
-2*o*(o - 41281)**2*(o + 1)/11
Solve -3*z**3 - 9525*z**2 - 579018*z = 0.
-3113, -62, 0
Determine z, given that 2*z**3/5 - 359832*z**2/5 + 22303818*z/5 - 345679388/5 = 0.
31, 179854
Let -2*k**3 - 960*k**2 - 61368*k - 519680 = 0. What is k?
-406, -64, -10
Factor -2*f**2/9 + 52468*f/9 + 321310.
-2*(f - 26289)*(f + 55)/9
Determine b so that -2*b**4/3 + 5603786*b**3/3 - 1308431262012*b**2 - 11775920584640*b/3 - 7850621194816/3 = 0.
-2, -1, 1400948
What is o in 1077*o**4 + 34823715*o**3 + 375329935602*o**2 + 1348434651647748*o - 3756088292856 = 0?
-10778, 1/359
Suppose -2*l**3/5 + 34948*l**2/5 + 3691382*l/5 + 3656432/5 = 0. What is l?
-104, -1, 17579
Factor s**2/9 - 761939*s/3 - 18286600/9.
(s - 2285825)*(s + 8)/9
Let -m**3 + 244097*m**2 - 244096*m = 0. Calculate m.
0, 1, 244096
Suppose 2*r**2 - 21759956*r + 59186960640242 = 0. Calculate r.
5439989
Determine d, given that 3*d**2/2 - 19736001*d/2 + 29603988 = 0.
3, 6578664
Determine q, given that q**4/3 - 66338*q**3 + 2587012*q**2/3 + 66338*q - 2587013/3 = 0.
-1, 1, 13, 199001
Determine p, given that -p**2/5 + 75361*p/5 - 1054858/5 = 0.
14, 75347
Find z such that 2*z**5/11 - 2116*z**4/11 - 705480*z**3/11 - 42198192*z**2/11 + 1331942400*z/11 - 8644320000/11 = 0.
-150, 12, 1334
Suppose -9*j**5 - 4595*j**4 - 548333*j**3 + 10178911*j**2 + 74022402*j - 34861176 = 0. What is j?
-263, -6, 4/9, 21
Factor -2*l**3 - 2454*l**2 + 24762*l + 27214.
-2*(l - 11)*(l + 1)*(l + 1237)
Factor f**5/3 + 59746*f**4/3 + 59743*f**3.
f**3*(f + 3)*(f + 59743)/3
Solve -3*a**4 - 7662*a**3 - 136989*a**2 - 114018*a + 258672 = 0 for a.
-2536, -17, -2, 1
Factor 5*w**3 - 3880*w**2 - 151455*w + 853650.
5*(w - 813)*(w - 5)*(w + 42)
Find h such that 2*h**3/7 - 41595094*h**2/7 + 30895571629450*h - 30895565687294 = 0.
1, 10398773
Factor -u**3/2 + 7729*u**2/2 - 46312*u + 77170.
-(u - 7717)*(u - 10)*(u - 2)/2
Factor 3*y**3 - 68466705*y**2 + 390640773563064*y + 390640842029772.
3*(y - 11411118)**2*(y + 1)
Let p**3 + 357401*p**2/3 - 2621095*p/3 + 833987/3 = 0. What is p?
-119141, 1/3, 7
Let -h**3/5 - 206*h**2 + 81251*h/5 + 935220 = 0. What is h?
-1100, -39, 109
Factor -2*r**5/7 - 1534*r**4/7 + 6156*r**3/7 - 9244*r**2/7 + 6166*r/7 - 1542/7.
-2*(r - 1)**4*(r + 771)/7
Determine j so that 2*j**5/5 - 46*j**4/5 - 152*j**3 + 2040*j**2 = 0.
-17, 0, 10, 30
Find r such that 3*r**3 + 1938975*r**2 + 7755864*r + 7755852 = 0.
-646321, -2
Factor k**3 + 2017*k**2 + 71351*k + 69335.
(k + 1)*(k + 35)*(k + 1981)
Solve -2*h**4/7 - 124*h**3/7 - 1018*h**2/7 + 1144*h/7 = 0 for h.
-52, -11, 0, 1
Determine q, given that 45*q**4 + 850805*q**3 + 121401605*q**2 + 93719755*q - 26831090 = 0.
-18763, -143, -1, 2/9
Factor -5*d**2 + 5369460*d + 10738940.
-5*(d - 1073894)*(d + 2)
Factor 2*c**3/7 - 45970*c**2 + 12945048446*c/7 - 116479372482/7.
2*(c - 80443)**2*(c - 9)/7
Factor 2*h**2/9 - 1354756*h + 2064784296978.
2*(h - 3048201)**2/9
Determine p, given that 2*p**2/13 + 760964*p/13 + 2282874/13 = 0.
-380479, -3
Factor t**2 - 1784*t + 412503.
(t - 1511)*(t - 273)
Solve -2*p**2/9 + 90796*p/9 + 23636992/3 = 0.
-768, 46166
Suppose -3*m**3 - 9302052*m**2 + 167437665*m - 753470586 = 0. Calculate m.
-3100702, 9
Let -4*j**3/7 + 19557*j**2/7 - 43985*j/7 + 9774/7 = 0. What is j?
1/4, 2, 4887
Find b, given that -131*b**4/2 + 802*b**3/3 - 2093*b**2/6 + 473*b/3 - 32/3 = 0.
32/393, 1, 2
Factor z**2/4 - 13546*z + 1055067.
(z - 54106)*(z - 78)/4
Factor -4*u**4 + 9664*u**3 + 332044*u**2 + 2832200*u.
-4*u*(u - 2450)*(u + 17)**2
Let 3*j**3 + 37098*j**2 + 118131552*j + 21126334080 = 0. What is j?
-6088, -190
Suppose -2*d**4/7 + 11295504*d**3/7 - 56477476*d**2/7 + 33886464*d/7 + 14522778 = 0. What is d?
-1, 3, 5647747
Factor -5*w**3 - 103550*w**2 - 207040*w + 828320.
-5*(w - 2)*(w + 4)*(w + 20708)
Factor 5*j**3/2 - 881385*j**2/2 + 38765623875*j/2 + 6732857790625/2.
5*(j - 88225)**2*(j + 173)/2
Factor -2*v**2/17 - 11116*v/17 - 648882/17.
-2*(v + 59)*(v + 5499)/17
Factor d**2/3 - 259849570*d/3 + 16880449757296225/3.
(d - 129924785)**2/3
Let 3*c**3/8 - 2979*c**2/8 - 32847*c - 692406 = 0. Calculate c.
-44, -39, 1076
Suppose 2*b**5/9 + 11870*b**4/9 + 35594*b**3/9 + 11858*b**2/9 - 35596*b/9 - 23728/9 = 0. Calculate b.
-5932, -2, -1, 1
Solve 25*f**4 + 192570*f**3 + 1500885*f**2 + 2770120*f - 615600 = 0 for f.
-7695, -4, 1/5
Suppose 3*p**3 - 70776*p**2 - 25915761*p - 2354270982 = 0. What is p?
-181, 23954
Suppose 34*f**4 - 934*f**3 + 5564*f**2 + 4696*f - 9360 = 0. What is f?
-26/17, 1, 10, 18
Suppose 5*p**3/2 - 10930*p**2 + 11200155*p/2 + 68779170 = 0. Calculate p.
-12, 607, 3777
Fa
|
{
"pile_set_name": "DM Mathematics"
}
|
is the third derivative of 25*o**4 - o**3 - 220*o**2?
600*o - 6
What is the derivative of c*x**3 - 41*c*x + 20*c + x**3 + 163*x**2 - 10 wrt c?
x**3 - 41*x + 20
What is the third derivative of a*c**3*x**3 + 2*a*c**2*x - 53*a*c*x**3 + 3*c**3*x**2 + c**3*x + 11*c**2*x**2 - 28*c*x**3 wrt x?
6*a*c**3 - 318*a*c - 168*c
What is the second derivative of 415*v**3 + 3*v - 222 wrt v?
2490*v
Find the first derivative of -84*j**2 - 58 wrt j.
-168*j
Find the third derivative of 2*b**3*n**2 + 676*b**3*q**2 + 7*b**2*n**2*q - 3*b*n**2*q + 5*n*q**2 wrt b.
12*n**2 + 4056*q**2
Find the second derivative of f**5 + 75*f**4*i - 3*f**2*i - f**2 + f*i + 418*f + 1 wrt f.
20*f**3 + 900*f**2*i - 6*i - 2
What is the second derivative of -801*s**2*u**2 - 3*s**2 + 99*s*u wrt u?
-1602*s**2
Find the second derivative of 13*i**5*m - 24*i**4*m + 259*i*m + 2*i wrt i.
260*i**3*m - 288*i**2*m
Find the second derivative of -38*p**2*r**2 + 415*p**2*r + 2*p**2 wrt r.
-76*p**2
What is the third derivative of -g**3*n**4 + 82*g**3*n**2 + 2*g**3*n + g**2*n**2 - 2369*n**4 + n**2 wrt n?
-24*g**3*n - 56856*n
Find the third derivative of -2*n**3*o*t + 6*n**3*t + 7*n**3 + n**2*t - 5*n*o*t - 2*n*o wrt n.
-12*o*t + 36*t + 42
What is the third derivative of -2*b**4*n - 3*b**4 + 2*b**3*n*o + b**3*o - 4*b**2*n*o + 3*b**2*o + b**2 + 2*b*n*o wrt b?
-48*b*n - 72*b + 12*n*o + 6*o
Find the second derivative of -64*c**4*z - c**3*z - 17*c*z + 2*z wrt c.
-768*c**2*z - 6*c*z
What is the first derivative of 1214*a**4 - 1224 wrt a?
4856*a**3
Find the second derivative of -2400*r**5 - 2873*r.
-48000*r**3
Find the second derivative of 2*t**5 - 229*t**3 + 782*t.
40*t**3 - 1374*t
Find the second derivative of -9*b**2*c**2*v - 4*b**2*c + b**2*v + 10*b**2 + 26*b*c**2 + 5*b*v - c**2 wrt c.
-18*b**2*v + 52*b - 2
Differentiate -20807*p - 25723 with respect to p.
-20807
What is the derivative of 44*t - 44?
44
Find the third derivative of 6362*a*i*j**4 + a*i*j**2 + a*i*j - 3*a*i + 64*a*j - 2*i wrt j.
152688*a*i*j
What is the second derivative of -279*g**3 - 3*g + 640 wrt g?
-1674*g
Find the third derivative of c*f**5 + 94*c*f**4 - 136*c + 10*f**2 wrt f.
60*c*f**2 + 2256*c*f
Find the third derivative of -407*t**2*y**4 + 12*t**2 - 14*t*y**2 + y**4 wrt y.
-9768*t**2*y + 24*y
Find the third derivative of -1172*v**3 - 798*v**2.
-7032
What is the second derivative of 323*w**2*y**3 - 3*w**2*y + 2*w*y + 453*y**3 wrt w?
646*y**3 - 6*y
What is the second derivative of 883*x**5 - 2929*x wrt x?
17660*x**3
Differentiate 2*f**2*s*t + f**2*t - 8*f*g*t**3 + g*s*t**3 - g*s + g*t - 4*s*t**3 wrt s.
2*f**2*t + g*t**3 - g - 4*t**3
What is the third derivative of 4*i**6*z - 2*i**6 - i**4 - 8*i**2*z - 4*i*z + 2*i wrt i?
480*i**3*z - 240*i**3 - 24*i
What is the second derivative of 7*l**3*w - 2*l*w + 8*w - 5 wrt l?
42*l*w
What is the third derivative of 1327*c**5*v - 2*c**3*v**3 - c**2*v**2 + 5*c*v**3 + 56*v**3 wrt c?
79620*c**2*v - 12*v**3
Find the first derivative of 87*g*n**2*r*y**2 - 4*g*n**2*r*y + 351*n**2*y**2 + 5*n**2 - r*y wrt g.
87*n**2*r*y**2 - 4*n**2*r*y
Find the second derivative of -5*o**3*y**2 + 2*o**3 + 45*o**2*y**2 + 23*o**2*y + 2*o*y - 2*y**4 wrt y.
-10*o**3 + 90*o**2 - 24*y**2
What is the second derivative of 1119*k**4 - 1963*k?
13428*k**2
Differentiate 7047*k*u**2 + k*u + 3*k + 2278 with respect to u.
14094*k*u + k
Differentiate -5*r**4 + 6*r**2 + 153.
-20*r**3 + 12*r
Find the first derivative of 1455*a*z - 9380*a - 4*z wrt z.
1455*a - 4
What is the first derivative of 5*s**2 + 321*s + 4504 wrt s?
10*s + 321
What is the first derivative of -1507*f**2*j**2*q - f**2*j**2 - 114*j**2*q + 3*j**2 wrt f?
-3014*f*j**2*q - 2*f*j**2
What is the derivative of -1907*g*l + 332*l wrt g?
-1907*l
What is the second derivative of d*y**3 + 18*d*y**2 - 2*d*y - 3*d + 2*y wrt y?
6*d*y + 36*d
Differentiate -7*n**2*y - 8*n**2 - 322*n*y + 10*n wrt y.
-7*n**2 - 322*n
Find the third derivative of -3140*i**3*l**2 - 2*i**3 - 603*i**2 - 2*i + 2*l**2 wrt i.
-18840*l**2 - 12
Find the third derivative of -4*s*y**4 + s*y**2 + 9*s*y + 2*s + 71*y**4 wrt y.
-96*s*y + 1704*y
Find the second derivative of -c**5*q**2 + 794*c**4*q**2 + 3*c + 2511*q**2 + 2 wrt c.
-20*c**3*q**2 + 9528*c**2*q**2
Find the third derivative of 4*h**6 + 15*h**5 - 3*h**3 - 211*h**2 - 12*h - 1.
480*h**3 + 900*h**2 - 18
What is the derivative of -811*c**3*q + 781*c**3 wrt q?
-811*c**3
What is the derivative of l**4*r + l**4 - 149*l**2*r**2 + 842*r**2 wrt l?
4*l**3*r + 4*l**3 - 298*l*r**2
What is the first derivative of -1477*u - 1147?
-1477
What is the first derivative of -67*x*z**3 - 2*x*z**2 + 2*x*z - 106*x + 26 wrt z?
-201*x*z**2 - 4*x*z + 2*x
Find the second derivative of 121*h**2*x**3 + h**2 + 3*h + 9*x**3 wrt h.
242*x**3 + 2
Find the first derivative of 2*t*x + 98*t - 325*x wrt t.
2*x + 98
What is the second derivative of -2*n*r**3 - 3*n*r**2 + 59*n*r + 2*r**3 - 5 wrt r?
-12*n*r - 6*n + 12*r
What is the derivative of -6*g**2 - 12*g*r - 161*r wrt g?
-12*g - 12*r
Find the first derivative of 239*u**4 + 265 wrt u.
956*u**3
Find the second derivative of -167*h**3 + 11*h**2 - 658*h - 1 wrt h.
-1002*h + 22
Find the second derivative of 424*j**4 + 508*j wrt j.
5088*j**2
Find the third derivative of 65*k**3 + 29*k**2 - 7 wrt k.
390
Find the third derivative of -42*k**3*r*v**2 - 2*k**3*r*v - 2*k**3*v + 3*k**2*r*v**2 + k**2*r*v - 125*k**2*v**2 - 2*v**2 wrt k.
-252*r*v**2 - 12*r*v - 12*v
Find the third derivative of 4786*a**2*o**3 - 179*a**2*o**2 - 2*a*o**4 + o**2 wrt o.
28716*a**2 - 48*a*o
What is the derivative of 10*i*x**3 + 218*x**3 wrt i?
10*x**3
What is the third derivative of 196*c*m*s**3 + 14*c*m*s**2 - 23*c*s**2 - 7*m*s**3 - 2*m*s**2 wrt s?
1176*c*m - 42*m
What is the first derivative of -1384*s**2 - 1402?
-2768*s
What is the derivative of 3061*m**3*x - 2*m*x**2 - 15*x**2 + 48*x wrt m?
9183*m**2*x - 2*x**2
What is the first derivative of 35*i + 225?
35
What is the third derivative of -654*o**3*x + 36*o**2*x + 2*o + 2*x wrt o?
-3924*x
What is the first derivative of 176*a - 76 wrt a?
176
Find the third derivative of -3*g**4*x**3 + 44*g**4 - g**3*x**2 - 2*g**2*x**3 + 4*g**2*x - 288*g*x wrt g.
-72*g*x**3 + 1056*g - 6*x**2
What is the derivative of -4*f**3*k**2*p + f**3 - 2*f**2*p**2 + 119*f**2 - 166*f*k**2*p**2 - f*p**2 wrt k?
-8*f**3*k*p - 332*f*k*p**2
Find the third derivative of 470*w**6 - 21*w**2 wrt w.
56400*w**3
What is the second derivative of 3*d**4 - 95*d**3 + 4182*d?
36*d**2 - 570*d
What is the second derivative of 326*p**4 + 7*p + 1 wrt p?
3912*p**2
Differentiate -130*z**2 - 2*z - 143 wrt z.
-260*z - 2
What is the third derivative of -83*h**3*m + 10*h**3 - 274*h**2*m + 2*h**2 - 2*m wrt h?
-498*m + 60
What is the second derivative of -84*c*s**5 + 2*c*s**3 + c*s + 8*c - 2*s**3 wrt s?
-1680*c*s**3 + 12*c*s - 12*s
Differentiate 21*i**2*r + 4656*i**2 - 24*r**4 wrt r.
21*i**2 - 96*r**3
Find the third derivative of -34*h**2*v**6 - 272*h**2*v**2 wrt v.
-4080*h**2*v**3
What is the third derivative of -14165*o**3*x**3 - 3*o**3*x**2 + 97*o**2*x**2 wrt x?
-84990*o**3
What is the second derivative of -2*c**3*i**2 + 23*c**3*i - 2*c**3 - 3413*c**2*i**4 - c*i + 24 wrt i?
-4*c**3 - 40956*c**2*i**2
Find the second derivative of 4*i**4 + 1529*i**2 + 758*i - 2 wrt i.
48*i**2 + 3058
Find the third derivative of -2602*k**3*l**3*z + k**3*l*n**3*z + 2*k**2*l**2*z + k**2*n*z + 2*k*l**3*n*z - 2*k*l*n**3*z + 30*l*n*z + 5*z wrt k.
-15612*l**3*z + 6*l*n**3*z
What is the third derivative of -20468*z**3 + 4944*z**2 - 1 wrt z?
-122808
What is the derivative of -476*q + 256?
-476
Find the second derivative of -13*m*w**2*x - 5*m*w*x - 5*m*w - 50*w**2*x**2 + 15*w*x**2 wrt w.
-26*m*x - 100*x**2
Find the first derivative of -3*y**3 + 8*y**2 + 700.
-9*y**2 + 16*y
What is the third derivative of 3*c**2*u**3 + 429*c**2*u - 16*c*u**2 - 2157*u**3 wrt u?
18*c**2 - 12942
What is the first derivative of 4*m**2*r**2*y - m**2*y + 5*m**2 - 2*m*r**3*y - 2*m wrt r?
8*m**2*r*y - 6*m*r**2*y
Find the third derivative of -126*g**5 + 3*g**2 - 10*g wrt g.
-7560*g**2
Find the third derivative of 2*b**5 + 2395*b**4 + b**3 - 4*b**2 + 1234*b wrt b.
120*b**2 + 57480*b + 6
What is the derivative of 62*n**2 + 5*n + 9552?
124*n + 5
What is the third derivative of -432*q**5 - 2*q**4 - 44*q**2 - 3*q?
-25920*q**2 - 48*q
What is the third
|
{
"pile_set_name": "DM Mathematics"
}
|
equal to 922769?
True
Which is bigger: -1 or -2/58298259?
-2/58298259
Which is smaller: -114540 or -114541?
-114541
Is 434/1075 bigger than -1?
True
Is 59755 bigger than 59752?
True
Is 21 < 1372/65?
True
Which is bigger: 14 or 1555?
1555
Are 307 and 24 non-equal?
True
Which is greater: -7.738 or -2/9?
-2/9
Is 1195602 at least 1195604?
False
Which is smaller: 1673 or 1726?
1673
Are -1 and -2420/1941 non-equal?
True
Is 3/20 < -131/1089?
False
Which is bigger: 1 or -1/3183970?
1
Which is bigger: -1142/125 or -8?
-8
Is -14 equal to -8.843?
False
Which is smaller: -83465 or 0?
-83465
Which is bigger: -789/23 or -33?
-33
Do 23786 and 23788 have different values?
True
Is 924004 greater than 924004?
False
Does 0.0341 = -78?
False
Which is greater: 1075/1128 or 0?
1075/1128
Is -1 >= -1/266171?
False
Which is smaller: 1633/64 or 1?
1
Which is greater: -1504 or -924?
-924
Which is bigger: 4513.55 or -3?
4513.55
Which is smaller: -14 or 3078?
-14
Which is smaller: 1 or 43/1355?
43/1355
Is -1047931 > -1047931?
False
Is -1703 >= -14.3?
False
Is -10411 at most 35?
True
Which is bigger: 65 or -703?
65
Is -2/7 <= 12435.2?
True
Which is smaller: 20260 or 20261?
20260
Which is bigger: -3 or -0.11403?
-0.11403
Which is greater: 11457/2 or -4?
11457/2
Which is smaller: -3/59 or 3/76?
-3/59
Which is smaller: -4 or -3307/630?
-3307/630
Is -28 >= -11073?
True
Is 15 less than 15639?
True
Which is greater: 44 or -22098?
44
Which is bigger: 236/1065 or -1?
236/1065
Which is smaller: -933900 or -933899?
-933900
Is 4 greater than 1553/319?
False
Which is greater: 3406/57 or 60?
60
Which is bigger: -68714 or -68716?
-68714
Which is bigger: 8594 or 77354/9?
77354/9
Which is bigger: -959 or -146644/153?
-146644/153
Which is greater: 663 or 1154?
1154
Which is bigger: -1 or 1/98515?
1/98515
Which is smaller: -1 or 17/10158?
-1
Which is greater: 17243/52 or 333?
333
Is 4/33571 != 1?
True
Is -3 at most as big as -15.745?
False
Which is smaller: -66785 or -66787?
-66787
Is -70154 at most as big as -2?
True
Does -26 = -135?
False
Is 398975 not equal to -9?
True
Which is greater: -15961/21 or -761?
-15961/21
Is 3/311776 at least as big as 1?
False
Is -1.7068 < 1.66?
True
Is 0 != 24/41189?
True
Are -237 and 454 equal?
False
Which is bigger: -75154 or -75147?
-75147
Which is smaller: 25.52 or -1/17?
-1/17
Are -2/1655051 and -1 equal?
False
Which is smaller: 54834 or 712858/13?
54834
Which is smaller: 43 or -7/15?
-7/15
Which is smaller: 230109/13 or 17702?
230109/13
Is -1 smaller than -3/1226647?
True
Which is greater: -589/488 or 0?
0
Do -1396351/2 and -698176 have different values?
True
Is -4474225 less than -4474225?
False
Is -1241.683 at most as big as 1/3?
True
Which is bigger: 23835/8 or 2978?
23835/8
Which is smaller: -4664 or 17?
-4664
Are -62 and -2255/37 equal?
False
Is -5/16189 < 0?
True
Which is smaller: -5869 or -5870?
-5870
Which is smaller: -2 or 2757.3?
-2
Is -1 <= -362/617?
True
Which is greater: 1052 or 10?
1052
Are -315646 and -1262587/4 unequal?
True
Is -109637 smaller than -109646?
False
Is 0 > -0.9716?
True
Which is bigger: -568114 or -2?
-2
Are -601 and -220 unequal?
True
Is 6/10439 >= -1?
True
Which is smaller: -1366 or -0.82?
-1366
Which is bigger: -383 or -55?
-55
Is 1 less than -72/8009?
False
Which is smaller: 1679725 or 1679727?
1679725
Which is greater: 0 or -350/37621?
0
Which is greater: 18835 or 18841?
18841
Is 0 at least as big as 418/1593?
False
Is 26288 < 7/5?
False
Which is greater: 117295 or 117293?
117295
Do -2/29442991 and 1 have the same value?
False
Which is greater: 10638 or 10637?
10638
Which is bigger: -6034 or 57/5?
57/5
Is -3 greater than or equal to 3976?
False
Is -1 > 1/147037?
False
Is -86.896 at most as big as 0.3?
True
Which is greater: 14199 or 32?
14199
Is 5827 <= 796?
False
Which is smaller: -19086/89 or -213?
-19086/89
Is 109446 != 109447?
True
Is -7462296 not equal to -7462296?
False
Is -2090 not equal to -2089?
True
Is 39 at least as big as 25362/7?
False
Which is smaller: -111 or -795?
-795
Are -75743 and -75746 non-equal?
True
Which is smaller: -1678 or 8?
-1678
Which is smaller: -1 or -9/244366?
-1
Is 1 >= 5/33136?
True
Which is smaller: -211 or 68?
-211
Which is bigger: 465 or -53?
465
Which is bigger: 132/995 or -1?
132/995
Is -193/57 less than or equal to -116?
False
Which is greater: 7226 or 50581/7?
7226
Does 5/1034 = -145?
False
Which is bigger: 0 or 7/28958?
7/28958
Which is smaller: -19425 or -19421?
-19425
Is 1667 >= 1710?
False
Are -2499 and -34973/14 non-equal?
True
Is 1/2 <= 2817.22?
True
Is 535076 at most as big as 535076?
True
Which is smaller: -466/55 or -9?
-9
Is -1/3 <= -1/43452?
True
Is 53 smaller than 0.2047?
False
Is -138 < -6/5?
True
Which is smaller: 2869.54 or -3?
-3
Which is smaller: 120939 or 120957?
120939
Is 2/3 <= -2169447?
False
Is -1 smaller than -41/1523?
True
Are 2511 and -1/59 non-equal?
True
Is 1 bigger than 7/50024?
True
Does -28.75 = 1?
False
Does 1 = -4504891?
False
Is 37414 smaller than 37426?
True
Is -18 less than -950/49?
False
Is 1 <= -138/9749?
False
Which is smaller: -9 or -215/21?
-215/21
Are -5 and -61744 unequal?
True
Are 3/5 and 6954 non-equal?
True
Are -273497 and -273497 non-equal?
False
Which is smaller: 16.36 or -57.5?
-57.5
Which is bigger: -770 or -743?
-743
Which is greater: 15077 or 346776/23?
346776/23
Are 74/99887 and 1 equal?
False
Which is smaller: -327 or 556?
-327
Which is greater: 1716329 or 1716332?
1716332
Which is smaller: 1632 or 1646?
1632
Is 601197 less than or equal to 601196?
False
Which is bigger: 553/358 or 1?
553/358
Which is smaller: 560834 or 560837?
560834
Are -1 and 250/8527 nonequal?
True
Is 0 greater than or equal to -2/635717?
True
Is 0 at least as big as 1/105569?
False
Which is bigger: 0 or -121/13894?
0
Is 318247 < 318254?
True
Is -48807 not equal to -48807?
False
Which is greater: -1509.3 or 10?
10
Which is bigger: 2177103 or 2177101?
2177103
Which is bigger: 167553 or 167550?
167553
Which is smaller: 344.7 or 44?
44
Which is bigger: -30/36529 or 1?
1
Which is bigger: 1 or 5/583?
1
Is 0.2 < 208196?
True
Which is smaller: 0 or -239143?
-239143
Which is bigger: 79014 or 79013?
79014
Is 1137/118 less than or equal to 9?
False
Which is smaller: 9 or 5406?
9
Is 384 greater than 302?
True
Which is greater: -2/462109 or -1?
-2/462109
Is 1/59895 greater than or equal to 1/2?
False
Which is smaller: 95874 or 95871?
95871
Which is bigger: 0.3 or -0.10425?
0.3
Are 79772/47 and 1697 equal?
False
Is -0.3 greater than -0.049?
False
Which is greater: 69/7495 or -1?
69/7495
Is 587/280 < 3?
True
Which is smaller: 1481360 or 1481358?
1481358
Is -2 != 4025465?
True
Are 273/29 and 4/13 equal?
False
Do -378/2201 and -1 have different values?
True
Are 2619 and 2631 nonequal?
True
Is -1755 greater than -1921?
True
Which is greater: 3257707 or 3257708?
3257708
Which is bigger: -184 or -164?
-164
Which is bigger: 0.0269 or 191/5?
191/5
Is -3080230 at least as big as -3080229?
False
Which is smaller: -1 or -1/135227?
-1
Which is smaller: 116/4871 or -1?
-1
Is 268 at least 1691?
False
Which is smaller: -8725 or -43629/5?
-43629/5
Which is bigger: 4898975 or 4898976?
4898976
Is 0 smaller than 14/18705?
True
Which is bigger: -1/65 or -286?
-1/65
Which is smaller: -4111 or -3849?
-4111
Which is smaller: 144669 or 144668?
144668
Which is bigger: 75453 or 75455?
75455
Which is smaller: -1/9839167 or -1?
-1
Are 49262 and 197049/4 unequal?
True
Is 4/55 at least 44909?
False
Is -11315 < -11334?
False
Which is bigger: 24 or 951?
951
Which is greater: 194936 or 2?
194936
Do -7438382 and -7438381 have different values?
True
Is -9836 less than -9735?
True
Which is greater: -215 or -28?
-28
Which is smaller: -2030200 or -2030201?
-2030201
Is -13038457 at most as big as -13038458?
False
Is 57592 > 57590?
True
Is -444377/5 at most as big as -88875?
True
Which is smaller: 1 or -118/283?
-118/283
Is -1364972 < -1364971?
True
Which is bigger: -14 or -278/21?
-278/21
Which is smaller: -80814/529 or -153?
-153
Are -198175 and -1/4 unequal?
True
Which is smaller: 202788 or 202787?
202787
Is -12971/26 <= -498?
True
Is -73/28331 less than or equal to 1?
True
Which is greater: 143595 or 143596?
143596
Which is greater: 95946 or 95948?
95948
Are 166562 and 166565 unequal?
True
Which is
|
{
"pile_set_name": "DM Mathematics"
}
|
In base 6, what is -3 + 505514?
505511
In base 8, what is -137 - -15256?
15117
In base 5, what is -4 + -2012433?
-2012442
In base 7, what is -4 + 261646?
261642
In base 16, what is -81a + 42?
-7d8
In base 13, what is 1 - -1907b7?
1907b8
In base 12, what is 4 - -8605?
8609
In base 9, what is 27 - 48371?
-48343
In base 3, what is -111000021102 - 11?
-111000021120
In base 11, what is 2 - -7a8982?
7a8984
In base 13, what is 0 + -3b553?
-3b553
In base 7, what is -11 - 64652?
-64663
In base 5, what is -1102023 + 2?
-1102021
In base 16, what is 0 + 2a72?
2a72
In base 15, what is 30 + -1dd?
-1ad
In base 2, what is 11 - 11110101110111110?
-11110101110111011
In base 9, what is -6628037 - 4?
-6628042
In base 9, what is -3 - -1080?
1076
In base 13, what is 1 + 339a86?
339a87
In base 12, what is 15 + 5b?
74
In base 6, what is 244 - 1203?
-515
In base 15, what is -4144 - -2?
-4142
In base 3, what is -100200 - -201222101?
201121201
In base 10, what is 129 - -441?
570
In base 14, what is 11 - -7442?
7453
In base 9, what is -13 - 60648?
-60662
In base 3, what is -202021012 + 20?
-202020222
In base 13, what is 64 + -195?
-131
In base 4, what is 1 - 32000323?
-32000322
In base 13, what is -17105 + 5?
-17100
In base 9, what is 3 + -88708?
-88705
In base 10, what is -13 - 3723?
-3736
In base 13, what is 7226c + -2?
7226a
In base 16, what is -5 + -6978?
-697d
In base 9, what is 381 + 128?
520
In base 2, what is -10101011 - 101001?
-11010100
In base 15, what is 2981 - -6?
2987
In base 11, what is -5877 + 13?
-5864
In base 6, what is -1144 + 42?
-1102
In base 5, what is -321232 - 30?
-321312
In base 12, what is -14a + 929?
79b
In base 16, what is 5 - 79f?
-79a
In base 11, what is -1a548 + 5?
-1a543
In base 2, what is 11110100111 + 10000010?
100000101001
In base 2, what is 101001101010 - -1000100?
101010101110
In base 14, what is -1 + 183?
182
In base 8, what is 71 - 47?
22
In base 14, what is 566644 - 3?
566641
In base 4, what is 1 - -21031203?
21031210
In base 11, what is -91 - 282?
-363
In base 4, what is 10130 + 1220?
12010
In base 8, what is 2 - -543121?
543123
In base 11, what is -62 - -122?
70
In base 7, what is -4103132 + -4?
-4103136
In base 11, what is -5919 + 42?
-5887
In base 7, what is 502 - -41?
543
In base 6, what is -14032532 + 3?
-14032525
In base 6, what is 211253 + 14?
211311
In base 8, what is 1327 + 37?
1366
In base 15, what is 2 + -d6daa?
-d6da8
In base 10, what is -918 + 7?
-911
In base 16, what is -35 - 2e0?
-315
In base 9, what is 5 + 155386?
155402
In base 7, what is -440030 - 6?
-440036
In base 14, what is 4b18 + -4?
4b14
In base 2, what is 10011101 + 10110100000010?
10110110011111
In base 8, what is -1 - 27565?
-27566
In base 3, what is 1 - -122202201?
122202202
In base 6, what is 32533 - -3?
32540
In base 2, what is 0 - -10000010100111010?
10000010100111010
In base 8, what is -14630646 + 0?
-14630646
In base 15, what is 25be + 3?
25c2
In base 16, what is -87 + -9bb?
-a42
In base 2, what is -1000 - -110101001101100110?
110101001101011110
In base 9, what is -61 - -8376?
8315
In base 7, what is -350163 - -4?
-350156
In base 4, what is -1111121302 - -3?
-1111121233
In base 2, what is -111110101101000 + 11?
-111110101100101
In base 5, what is -24141 - -123?
-24013
In base 16, what is -4d - 583?
-5d0
In base 3, what is 11012220 + 2100?
11022020
In base 16, what is af + be?
16d
In base 6, what is -224 + 24152?
23524
In base 12, what is 5 - 89994b?
-899946
In base 13, what is -318 - 3a?
-355
In base 14, what is -a392 + -15?
-a3a7
In base 4, what is 32002301 + 220?
32003121
In base 9, what is 4 + -1407212?
-1407207
In base 4, what is -201323 + 3103?
-132220
In base 12, what is -1b5b + -b1?
-2050
In base 13, what is -4 - -4cab64?
4cab60
In base 9, what is -1216476 + -4?
-1216481
In base 10, what is -4 - -3206?
3202
In base 4, what is 11021 + 1002320?
1020001
In base 5, what is -224 - 233302?
-234031
In base 14, what is -6819 + 2?
-6817
In base 12, what is 192b6 - 6?
192b0
In base 4, what is -2103332 - -30?
-2103302
In base 11, what is 279 - 33?
246
In base 9, what is -4 + -227400?
-227404
In base 8, what is -566074 - 2?
-566076
In base 14, what is 0 - 454a4?
-454a4
In base 11, what is 3347 + 19?
3365
In base 12, what is 2 + b8693?
b8695
In base 16, what is 3dc975 + -4?
3dc971
In base 2, what is -1000011101100 - -110?
-1000011100110
In base 15, what is -d - -168d?
1680
In base 2, what is 111100 + -10010110110101?
-10010101111001
In base 7, what is 43 - 13645?
-13602
In base 7, what is 154 + -30326?
-30142
In base 5, what is 10 + -113240410?
-113240400
In base 7, what is 55 + -363016?
-362631
In base 2, what is 10 - -11010101000110?
11010101001000
In base 10, what is -2 - -112536?
112534
In base 9, what is -435 + -424?
-860
In base 3, what is -1 - -22101110110?
22101110102
In base 8, what is 5 + -116532?
-116525
In base 12, what is 15098 + -7?
15091
In base 10, what is 21 - 6223?
-6202
In base 12, what is 1a - -2a450?
2a46a
In base 9, what is -68 - -110?
31
In base 11, what is 35352 + 18?
3536a
In base 14, what is -426 + 33?
-3d3
In base 16, what is 1f + -2d7a?
-2d5b
In base 16, what is -3a + -7361?
-739b
In base 12, what is 4755 - -25?
477a
In base 16, what is 9c - 63?
39
In base 2, what is -100101100101100100 + -1?
-100101100101100101
In base 6, what is -101 - 31231?
-31332
In base 6, what is 535 - 235?
300
In base 5, what is -300401 + -304?
-301210
In base 4, what is -31 - 23010121?
-23010212
In base 9, what is 773 + 2232?
3115
In base 15, what is -4 - -8ccb9?
8ccb5
In base 14, what is -4 + -4ccb5?
-4ccb9
In base 16, what is -b5 - -f?
-a6
In base 12, what is -7b59 - -3?
-7b56
In base 5, what is 210 - 1334?
-1124
In base 7, what is -2 - 14111?
-14113
In base 13, what is -5 + -279b58?
-279b60
In base 15, what is -1a63e8 + -5?
-1a63ed
In base 2, what is -1110 - 101111111011111100?
-101111111100001010
In base 6, what is 3 + -143303?
-143300
In base 10, what is -660606 - 4?
-660610
In base 8, what is -2567 + -12?
-2601
In base 9, what is 643 - -46?
700
In base 14, what is -1a4 - b8a?
-d50
In base 16, what is -17 + -4427?
-443e
In base 4, what is 302031212 - 0?
302031212
In base 16, what is ebd + a?
ec7
In base 12, what is 12a64b + 1?
12a650
In base 11, what is -11 + -12106?
-12117
In base 7, what is 22 + -3065?
-3043
In base 11, what is 1a164 + -44?
1a120
In base 5, what is -230 + 4021?
3241
In base 13, what is 0 + 204c7?
204c7
In base 4, what is 32 - 323230?
-323132
In base 14, what is -2 + 4535?
4533
In base 11, what is 4 + 8a5?
8a9
In base 9, what is -468 + -163?
-642
In base 6, what is 113511 + -20?
113451
In base 9, what is 5480 + 652?
6242
In base 14, what is 2b2 + 890?
b62
In base 10, what is 4288 + 10?
4298
In base 4, what is 3 + 220233110?
220233113
In base 10, what is -172 - -1822?
1650
In base 5, what is 12411430 - 4?
12411421
In base 8, what is -117564 - 3?
-117567
In base 9, what is -25 + 343?
317
In base 10, what is -55 + 1589?
1534
In base 4, what is 1 - 13233212?
-13233211
In base 13, what is 19 + 1567?
1583
In base 9, what is 5 - -7135?
7141
In base 2, what is 1011 + -1100111101100?
-1100111100001
In base 7, what is 26462153 - -4?
26462160
In base 11, what is -5 + -7299?
-72a3
In base 6, what is 1031402 - -2?
1031404
In base 6, what is -41 + 111115?
111034
In base 4, what is 1120 + 203301?
211021
In base 7, what is -1111 - 102032?
-103143
In base 10, what is 856 + 745?
1601
In base 6, what is -13224433 - 0?
-13224433
In base 5, what is 1123113 - -104?
1123222
In base 10, what is 3 - -420350?
420353
In base 13, what is -c24 + -6?
-c2a
In base 3, what is -20022020 - -10?
-20022010
In base 10, what is 849 + 12?
861
In base 9, what is 4 - 28171?
-28166
In base 6, what is 3 + 43054153?
43054200
In base 13, what is 29607 - -2?
29609
In base 13, what is 384 + 59?
410
In base 7, what is -251060 + 4?
-251053
In base 7, what is 3454 + -34?
3420
In base 7, what is 5 - -101140?
101145
In base 8, what is -27 + -472432?
-472461
In base 2, what is -101 + -110101101101?
-110101110010
In base 5, what is 122 - 2333?
-2211
In base 14, what is 5c5 - 127?
49c
In base 15, what is 1048e + -23?
1046b
In base 10, what is -198 + -157?
-355
In base 12, what is 1672 - 3?
166b
In base 12, what is 1 - -11594?
11595
In base 16, what is -19c + -23?
-1bf
In base 8
|
{
"pile_set_name": "DM Mathematics"
}
|
Let m = i + -1942. Which is the smallest value? (a) 14 (b) m (c) l
c
Let f = -124 + 303. Let s = -182 + f. Which is the third biggest value? (a) s (b) 2 (c) -0.01
a
Let k = 65 + -114. Let o = k + 48.9. Let z be ((-5)/15)/((-2)/30). Which is the second biggest value? (a) o (b) -0.04 (c) z (d) -2
b
Let d = 150 - 1052/7. Let w = 211.5 - 206. Let x = w - 5.2. Which is the third smallest value? (a) x (b) 5 (c) d
b
Let s = -0.11611 - -0.51611. Which is the third smallest value? (a) 212 (b) -2 (c) s
a
Let y(h) = h**3 - 5*h**2 - 204*h + 1025. Let d be y(5). What is the fourth biggest value in d, -1, 1/5, 9.4, -0.5?
-0.5
Let b = 1 - 0. Let k = -63058 + 63070. What is the second biggest value in b, k, 4?
4
Let x(y) = -y + 5. Let u be x(6). Let n = -24 + 27. Let b = -2790 - -2790.2. What is the third biggest value in u, b, n?
u
Let n = -366 - -365. Let m be 0 + (-2)/3*(-6)/(-32). Which is the second biggest value? (a) n (b) 2/5 (c) m
c
Let p = -2178 + 1541. Let m = 678 + p. Which is the biggest value? (a) -4 (b) 5 (c) m (d) 1
c
Let f = -828 - -823. Which is the third biggest value? (a) f (b) 1/2 (c) -0.1 (d) -0.09
c
Let p = -8.94 - -6.94. Let t be -19 - -2 - (1 + -10 + 8). What is the third biggest value in p, t, 1, 0.5?
p
Let f = 17.17 + -25.17. Which is the second smallest value? (a) -5 (b) 6 (c) 5 (d) f
a
Let z = 957 + -1917/2. Which is the third smallest value? (a) 0.1 (b) 57 (c) z
b
Let y = 238 + -202. Let p = 31 - y. What is the second biggest value in -0.4, p, -91?
p
Let p = -0.1 + 0. Let n be (21 + 532/(-56) - 16)*(-1)/(-6). Which is the third smallest value? (a) p (b) 13 (c) -1/4 (d) n
a
Let q be (-5)/(-1365)*13 + 3/(-21). What is the second smallest value in 2.9, q, -10?
q
Let z = -28600 - -28596. Let v = -5 + 3. Let d = -2.04 - v. Which is the smallest value? (a) z (b) d (c) -0.3
a
Let n = 1.9393 - 1.4393. Let f = -19 - -10. What is the third smallest value in n, 0, 2/13, f?
2/13
Let o = 180 - 273. Let k = 92.98 + o. Let s = 2 - -2. Which is the biggest value? (a) k (b) s (c) 3 (d) -0.5
b
Let p = -11.305 + 8.505. Let b be (-153)/54 + 4 + -1. What is the biggest value in b, 2, p?
2
Let t(u) be the first derivative of 6*u**2 - 35*u - 16. Let j be t(3). Which is the third biggest value? (a) j (b) -0.67 (c) 2 (d) -5
b
Let y = -0.9 + 0.8. Let f(v) = 5*v + 190. Let p be f(-37). Let j = 189 - 191. Which is the smallest value? (a) p (b) y (c) j
c
Let v = 5.06 - 0.06. Let a be (23 - 3534/152) + 0. What is the second smallest value in a, 9, v, 1/9?
1/9
Let r = -648 + 650. Let q = 26.5 - 27. What is the biggest value in q, 2/5, r?
r
Let z = 953/966 - 4/69. Let j = -2 + 11/7. Let u = j + z. Which is the smallest value? (a) 1 (b) u (c) 3/5
b
Let q(k) = k**2 - 11*k + 6. Let u be q(10). Let i = -83353 - -83358. Which is the second biggest value? (a) u (b) i (c) 2/7 (d) 1.5
d
Let u = -81.271 + 20.271. What is the biggest value in 0.5, -0.5, u, 4?
4
Let t = -3356 + 3358. Let p = 0.06 - 5.06. What is the biggest value in -63, t, p?
t
Let s = 0.37 - -0.03. Suppose -8 = -5*i + 3*d - 65, 0 = 2*d - 8. Let k = i - -10. What is the third biggest value in -5, k, s?
-5
Let p = 47/8 - 173/24. What is the second biggest value in 2, 18, -0.9, p?
2
Let s(h) = -2*h + 4. Let a be s(-11). Let i be (-220)/(-525) - (a/(-7) - -4). What is the smallest value in 1, 0, i, -1.2?
-1.2
Let y = -6857.56 - -6858. What is the third smallest value in y, -2/5, -2/7?
y
Let a = 76 + -530/7. Let x be (-2 + 6/(-12)*-8)*31. Let k = x + -66. What is the third smallest value in -3, a, -2/7, k?
-2/7
Let l = 0.1442 - 0.1142. Let o = 92.9 - 99. Let k = o + 6. Which is the biggest value? (a) 3 (b) l (c) k
a
Let n = 10799 - 10801. Which is the second smallest value? (a) 4 (b) n (c) -3 (d) 1/120 (e) 2
b
Let h = 2208.94 - 2209. What is the smallest value in -1, 0, -4/5, h, 0.1?
-1
Let v = 8757 - 8760. Which is the third biggest value? (a) -0.7 (b) 3/2 (c) -317 (d) v
d
Let g = 7759/42 - 1105/6. Let w = -0.04 - -0.02. Let o = -1.02 - w. What is the second biggest value in -5, 1, o, g?
g
Let w = -0.181 + -0.309. Let m = 1.49 + w. Which is the biggest value? (a) m (b) 4 (c) 12
c
Let x = 0.3751 + -0.3751. Which is the fourth biggest value? (a) -0.5 (b) 7 (c) x (d) 5/4
a
Let v = -6454/3 + 2152. What is the biggest value in 0.5, 0.14, 13, v?
13
Let q be (110/(-18))/(-5) + -1. Let r be 50/(-20)*(-8)/10. Let h be (-15)/60 + r/24. What is the biggest value in -2, h, q?
q
Let u = -9855.4 - -9855. Which is the second smallest value? (a) 0.1 (b) -5/53 (c) u
b
Suppose 0 = -3*y + 7*y + p + 10, -5*y - 6 = -2*p. Let k = 8 - 7.5. What is the fourth smallest value in -3, y, 18, k?
18
Let d = -0.2 + -0.8. Suppose 0 = -120*y + 125*y + 1345. Let o = y - -1885/7. What is the second smallest value in d, -0.07, o, -3?
d
Let h = -144 - -88. Let l = -47/156 - -2/39. Let x be 7/(-84)*-1*-4. What is the smallest value in h, x, l?
h
Let y = -97.4 + 548.4. Let k = 466 - y. Let d = -3.98 + -0.02. Which is the third biggest value? (a) d (b) k (c) -0.2
a
Let h be (36/90)/(-5*(-1)/25). What is the biggest value in 7, h, -3/4?
7
Let g be (-114)/3735 + 4/10. Let b = -377/28801 + -8/347. Let d = b + g. What is the second smallest value in d, -0.5, -2/5, -4/7?
-0.5
Suppose 4*o = 2*y + 2, -y + 4*o - 7 = -4*y. Let r be (1 - (0 + 0) - 21)/y. What is the second smallest value in 5, r, 3?
3
Let m(g) = 12*g + 284. Let h be m(-21). Let p be 530/600 + (-24)/h. Which is the smallest value? (a) -3 (b) -1/4 (c) p (d) 0
a
Suppose 37*l = 30*l. Suppose 0*n = 3*n - 4*r + 20, 4*n - 3*r + 15 = l. Which is the biggest value? (a) 3/7 (b) n (c) 1 (d) 1.3
d
Let p = -20043 + 19971. Which is the third smallest value? (a) 0 (b) -4 (c) 15 (d) p (e) 0.2
a
Let i = -5821.5 - -5822. Let u(l) = l**2 - 7*l - 8. Let j be u(8). What is the second biggest value in j, i, -6/23?
j
Let m = -8357 + 116995/14. What is the second smallest value in -3/7, m, 5/2, -3, 4?
-3/7
Let f = -0.126 - -0.195. Let x = -0.221 - f. Let h = x - -0.59. Which is the second biggest value? (a) h (b) 0.1 (c) -1/3
b
Let h = -0.02 - -4.02. Suppose 7158 = -78*y + 7002. Let t = 0.07 - -0.03. What is the third biggest value in y, t, h, -0.4?
-0.4
Let d = 9 + -5. Let n = -7113 - -7096. What is the smallest value in d, 0.1, n?
n
Let i = -240 - -239.6. Suppose -k - 24 = 2*w, w + 2*k = -w - 20. Let p = -19 - w. Which is the biggest value? (a) 4 (b) i (c) p (d) 0.3
a
Let g = -236.97 - -234. Let h = g + 2.97. Let p be 4*(-5 + 3)/68. What is the third biggest value in p, 1, h?
p
Let k = 160.8 + -189. Let q = -23.2 - k. What is the second biggest value in -1, -0.3, q?
-0.3
Let w = 352 - 349. What is the third biggest value in w, -2/5, 746?
-2/5
Let m = 292 + -2040/7. Let v = -2 + 4. Let z = 22.1 - 21.7. Which is the third biggest value? (a) v (b) m (c) z
c
Let z = 1006 - 1007.989. Let n = -2 - z. Let k = -0.211 - n. Which is the biggest value? (a) 1/6 (b) 18 (c) k
b
Let m be (1/(-2))/((-41)/574) - 5*1. What is the fourth smallest value in m, 2/5, -0.16, -0.07?
m
Suppose 0 = -3*m + 3*r, 0 = -2*m + 3*r + 2 - 5. Let q be m/(58/4 + 2). Let k = 1964 - 1959. Which is the smallest value? (a) k (b) q (c) -0.4
c
Let i = -398 - -394. Which is the fifth biggest value? (a) 25 (b) -3 (c) 2/3 (d) i (e) -1/5
d
Let r = 3781 - 3780. What is the biggest value in -0.19, r, 2?
2
Let u(m) = -m + 6. Let p be u(6). Suppose -3*a - k = -31, p = 2*a - a + 5*k - 1. Let q = 4.933 + -4.433. What is the third biggest value in q, -2, a?
-2
Let t = -29 + 209/7. What is the biggest value in -4/7, t, -3/5, -4, 0.1?
t
Let x = 238.92 + -238. Let l = x - -3.08. What is the smallest value in -1/15, l, -3/4?
-3/4
Let q = -137 - -139. Let o = -11.8 - -12. Let i = o - 0. Which is the biggest value? (a) i (b) -0.2 (c) q (d) -6
c
Let z be (-36)/8*4/6. Let p = 0.44 - 0.367. Let r = p - -0.027. Which is the second biggest value? (a) z (b) 1 (c) r (d) -0.2
c
Let x = -95.8 - -98.8. What is the second smallest value in x, -0.1, -3/4, 0.037?
-0.1
Let s = -0.07242 - -459.97242. Let z = -460 + s. What is the biggest value in z, -1, -4?
z
Let f = 0.2079 + -0.1079. What is the fifth smallest value in 1/2, f, -1, -8, -9?
1/2
Let k = 233 -
|
{
"pile_set_name": "DM Mathematics"
}
|
er.
i, 2, l
Suppose 4*x = -7*x. Sort -5, x, 3.
-5, x, 3
Let s = -3.75 + 3.75. Let d = 0.9 - -0.1. Sort 3, s, d in increasing order.
s, d, 3
Let v be -4*(-1 - -1 - 1). Let f(a) = a**2 + 3*a - 2. Let j be f(-3). Let m be (6/(-9))/((-2)/15). Sort m, j, v in ascending order.
j, v, m
Let v be (-1)/((2/6)/(-1)). Suppose -w = 4*g - 7 + 3, 0 = -3*g + 3. Suppose -3*y + w + v = 0. Sort y, 0, -1 in descending order.
y, 0, -1
Let i = -2 + 2. Let s(r) = r**2 - 6*r - 2. Let b be s(7). Suppose b = -z + 2*z. Put i, z, -1 in descending order.
z, i, -1
Let k = -8 + 6. Let r = -2156 - -45286/21. Let x = 2/21 + r. Sort k, -1, x in increasing order.
k, -1, x
Suppose 4*t = 5 + 11. Put -1, 1, t in decreasing order.
t, 1, -1
Suppose -3*m = -2*t - 168, 5*m - 4*t + 77 = 357. Let f = 115/2 - m. Sort -0.2, f, -4 in descending order.
f, -0.2, -4
Let b = -4386 - -4569.12. Let f = 188 - b. Let m = f + 0.12. Put m, 4, 1 in descending order.
m, 4, 1
Let b = -108.97 - -107. Let t = -0.03 + b. Put t, -1/4, -0.3 in decreasing order.
-1/4, -0.3, t
Let r = -50 - -45. Put r, 4, -3, 1 in ascending order.
r, -3, 1, 4
Let g = 8 + -9. Let k be (-9)/(-4) + 2/(-8). Sort 0, g, k in increasing order.
g, 0, k
Suppose -a - w + 7 = a, 3*a = 3*w + 6. Sort -7, a, -4 in increasing order.
-7, -4, a
Let q(p) = -p. Let b be q(2). Let r(j) = 2*j - 8. Let l be r(6). Let f = -22 + 19. Sort b, f, l.
f, b, l
Suppose 0*r + 2*r - 4*a - 314 = 0, r - 151 = -4*a. Let d = r - 1703/11. Let y = -0.1 + 1.1. Sort 3, y, d in descending order.
3, y, d
Let t(i) = -i**3 + 9*i**2 - 12*i - 12. Let l be t(7). Sort l, 0, -5 in increasing order.
-5, 0, l
Let h = -0.8 - 4.2. Sort 22, 4, h in increasing order.
h, 4, 22
Let i = -10 - -6. Let y = 2 + i. Let m = -6 + 3. Sort -0.4, y, m in increasing order.
m, y, -0.4
Let y = -100 - -95. Let d(h) = -h + 6. Let k be d(8). Sort -16, y, k in ascending order.
-16, y, k
Let d = 206/7 + -29. Let o = -1.5 + -0.5. Let n = -0.46 + 0.46. Put o, n, d in ascending order.
o, n, d
Let r = -10 - -16. Let a(u) = u**2 - 7*u + 9. Let g be a(r). Let h = 417 - 420. Put g, 0, h in decreasing order.
g, 0, h
Let p = 0.23 - -10.77. Let a = 6 - p. Let t = -8 + 7. Put t, a, 5 in descending order.
5, t, a
Suppose 21 = 3*b + g, 23 = 3*b + 3*g - 4. Put -2, b, 2 in decreasing order.
b, 2, -2
Suppose 2*p = -8*y + 3*y + 1, -2*y - 3*p - 4 = 0. Let s be (-2)/5 + 14/(-15). Let w = 16 + -15.5. Sort w, y, s in descending order.
y, w, s
Let l = 11 - 15. Suppose 3*x = 8*x - 10. Suppose 2*k + 3 = -t + 8, x*k - 17 = -5*t. Sort t, l, 4 in descending order.
4, t, l
Let a = -110 - -548/5. Put a, 3, -2/15, -2 in decreasing order.
3, -2/15, a, -2
Let y = -4/5 - -21/20. Let k = 3/19 + 11/171. Let c = 12 - 14. Put y, k, c in increasing order.
c, k, y
Let t = 0.04 + -0.04. Let w = 0.01 + -0.41. Let v = -5.4 - w. Put v, 0.4, t in increasing order.
v, t, 0.4
Let n be 24/(-3) - (2 + -8)/2. Put 1, n, 2 in decreasing order.
2, 1, n
Let n = 0 + -1/6. Let p = -0.4 + -0.1. Let q = -22 + 22.4. Sort p, q, n.
p, n, q
Suppose -2*u - 5*b + 14 = 0, 0 = u + b + 2*b - 8. Let f = 20 + -11. Suppose -s - f = -4*s. Put u, s, -4 in descending order.
s, u, -4
Let g = -104 - -99. Sort 52, 5, g in decreasing order.
52, 5, g
Let z = -3 - -2. Let k(y) = -7*y + 7. Let d be k(4). Let j be (0 + z)/(d/6). Put 0.2, j, 0.5 in ascending order.
0.2, j, 0.5
Let s be 126/30 - (-8)/10. Suppose s*p - r - 3 = -2, 0 = -3*p + 4*r + 4. Sort p, -0.4, -4/7 in decreasing order.
p, -0.4, -4/7
Suppose 3 = -v + o - 3, -v - 3*o + 10 = 0. Sort 15/8, v, 4 in ascending order.
v, 15/8, 4
Let h be 2*(3 - (-27)/6). Suppose 3*t - h = -4*m, -3*t = -3*m + 2*m. Put m, -1, 5 in ascending order.
-1, m, 5
Let g = 62.1 - 62. Sort -14, 0.2, g in descending order.
0.2, g, -14
Let s = -0.13 - -0.23. Let q = 0.1 - s. Sort 0.3, -1, q in decreasing order.
0.3, q, -1
Let t(y) = y**2 - 10*y + 8. Let n be t(10). Let h = -5 + n. Sort 4, h, -3 in increasing order.
-3, h, 4
Suppose -4*m = 20, 3*v + 4*m + 27 = -17. Let r(t) = t**3 - 4*t**2 - 11*t - 2. Let q be r(6). Put -3, q, v in descending order.
q, -3, v
Let y = 3 + -4. Let l be (-1 + 1)*y/(-2). Let z be (2 + l - 0) + -6. Put 1, z, -5 in decreasing order.
1, z, -5
Let x be (3/6)/(3/6). Sort -2, x, -6 in ascending order.
-6, -2, x
Let z = 115 - 114.99. Put z, 5, -1, -4/7 in decreasing order.
5, z, -4/7, -1
Suppose 3*t = 6 + 6. Suppose -47 + 17 = -5*h. Let k be (-2)/(-4)*(-12)/h. Sort 0, k, t.
k, 0, t
Let l = 12 - 17. Sort 4, 0, l in ascending order.
l, 0, 4
Suppose 2*d - 10 = -2. Suppose 0 = 5*o, -b + 2 + 1 = -d*o. Let p be 2*36/40 - (1 - -1). Sort b, 1/4, p in decreasing order.
b, 1/4, p
Let l = -5.4 + -0.6. Let w = -0.21 - 5.29. Let k = w - -5. Sort l, k, 0.2 in decreasing order.
0.2, k, l
Let i be 42/(-24) - (-3)/4. Put 3, 5, i in increasing order.
i, 3, 5
Suppose 2*j - 9 = 3*j + 2*q, -3*j = -3*q. Let v be 24/9*j/(-2). Put v, -3, -2 in decreasing order.
v, -2, -3
Let j = 5 - 2. Suppose j*o - 3 = 3. Put -0.4, -3, o in increasing order.
-3, -0.4, o
Suppose -4*j + 2*j = -3*a - 286, -5*j = 4*a - 692. Let c be ((-1)/(-2))/((-7)/j). Let p be 3/18 - c/(-12). Put 2/3, p, 0.3 in decreasing order.
2/3, 0.3, p
Let n be 1/(-2 + 3 + -4). Sort n, 0.08, -3 in ascending order.
-3, n, 0.08
Suppose -4*u - 22 = -26. Put u, -36, -2, 5 in decreasing order.
5, u, -2, -36
Suppose 3*f = 3 + 39. Suppose 0 = t - 4*c, -5*t - 2*c + f = -8. Let r be (-110)/40 - 1/4. Sort r, t, 5 in descending order.
5, t, r
Suppose -x = -5*a + 4*x - 20, -4*x + 6 = -2*a. Put -4, 3, a in increasing order.
a, -4, 3
Suppose 0 = -3*i + v + 12, 2*i - 2*v = 3*v + 21. Let u = i + -2. Sort 5, u, -2 in descending order.
5, u, -2
Let u = -314 - -309.98. Let l = -0.02 - u. Let p = -0.09 - 0.31. Sort -0.2, p, l.
p, -0.2, l
Let v be 2/(4 - 78/20). Let o = v + -257/13. Sort o, -5, -0.1 in descending order.
o, -0.1, -5
Let k = -3.4 - -3. Let s = 0.031 + -2.031. Put s, k, 4 in ascending order.
s, k, 4
Let v = 127 - 127. Put -5, 6, v, 4 in ascending order.
-5, v, 4, 6
Let j = -0.7 + 0.7. Let m(o) be the second derivative of -o**4/12 - o**3/6 + 3*o**2/2 + o. Let k be m(0). Sort k, j, 5 in increasing order.
j, k, 5
Let k = 20 + -18.8. Let m = k - -1.8. Put 0.2, m, -6/7 in descending order.
m, 0.2, -6/7
Let h(j) = -2*j**2 + 2*j + 2. Let s be h(2). Suppose 3*i + 10 = i. Put s, i, 3 in decreasing order.
3, s, i
Let x(j) = 7*j + 138. Let a be x(-19). Let b = 0.7 - 3.7. Put b, a, 3 in descending order.
a, 3, b
Let m = -11 - -16. Suppose 0 = 4*l - 8 - 8. Let o = -1 - 2. Sort l, o, m in ascending order.
o, l, m
Let j be 20/(-30)*1/2. Sort 0.1, 0.4, j.
j, 0.1, 0.4
Let d = 3.3 - 4. Let f = -0.2 - d. Let s = f + -0.1. Put s, 4, 0 in ascending order.
0, s, 4
Let s(r) = r**2 + 9*r + 8. Let h be s(-8). Suppose f - 2*f - 12 = 0. Let x be 1/3 + 28/f. Put x, -4, h in ascending order.
-4, x, h
Let c = 0.2 + -3.2. Put -2, -5, c in ascending order.
-5, c, -2
Let m(p) = -p**2 + 6*p + 6. Let l be m(5). Suppose 4*t + 8 = 3*r + 1, -5*r - l = -t. Sort -1, -3, t in increasing order.
t, -3, -1
Let v be 4/15 - 10/(-25). Let r be -1*(-2)/(-4)*0. Put v, r, -2 in decreasing order.
v, r, -2
Let q = -2 + 6. Suppose m = -q*u - 8, -m = u + m - 5. Let g = 0.4 + -0.5. Put u, 0, g in decreasing order.
0, g, u
Let g = 37 + -43.6. Let r = -1.6 - g. Put -3/7, r, -5 in increasing order.
-5, -3/7, r
Suppose s - 5 = 4*l, 3*l - 2 = l - 4*s. Sort -5, l, 4 in decreasing order.
4, l, -5
Let p be (-42)/6 + -14 - 0/(-2). Sort 4, p, -4 in ascending order.
p, -4, 4
Let j = -0.62 + 2.62. Let w = 4.92 - -0.08. Put j, 0.4, w in increasing order.
0.4, j, w
Let r(q) = -q**3 - q**2 - q. Let a be r(-1). Suppose 4*l + 3*g = -l + 28, l - 10 = -5*g. Suppose 0*t - l*t = 5. Put t, a, 5 in decreasing order.
5, a, t
Let j be ((-1)/(-2))/(1/(-12)). Let s be (3 + -5)/(j/(-9)). Suppose 4*f - 12 = -2*d, 0 = -4*f - 4*d - 0*d + 4. Put f, -1, s in increasing order.
s, -1, f
Let o be (-3*(-1 + 2))/(9/(-6)). Sort 5, 3, o, 1 in decreasing order.
5, 3, o, 1
Suppose -4*p = -2*a - 10, 0 = -3*p - p - 4*a + 40. Suppose 0 = -4*k + 10*k + 18. Sort -5, p, k.
-5, k, p
Let l = -6 + 7. Put l, 2/3, 0.2 in ascending order.
0.2, 2/3, l
Let l = -3 + -4. Let m = 10 + l. Sort -6, -1, m.
-6, -1, m
Let q = 0 + 0.1. Let f be 1 - -1 - (4 + -3 + 1). Sort f, q, 2.
f, q, 2
Let i = 1.2 + -0.2. Let l =
|
{
"pile_set_name": "DM Mathematics"
}
|
2/5)/f*f*f*f*f**12*f)/((f*f/(f**(-31)/f)*f)/f*f**(-2/21)) assuming f is positive.
f**(-1943/105)
Simplify (w/(w**3/w))/(w/(w*w*w*w/w**(1/3)))*(w**(1/4))**5 assuming w is positive.
w**(35/12)
Simplify (l**(-1/2))**(2/59)*l**(-16)*l/(l*l**(-10)) assuming l is positive.
l**(-355/59)
Simplify ((f*f**(-8/3))/(f/(f/f**(-18))))/(f**(-2/21)*f**8) assuming f is positive.
f**(59/7)
Simplify l/(l*((l*l*l**(2/3))/l)/l)*l**(-1/4)/l*l*l**(1/2)*(l/((l*l/l**(-2/15)*l)/l))/l*l assuming l is positive.
l**(-31/20)
Simplify ((t/t**(2/27))/t*t/(t**(2/9)*t*t))**(3/7) assuming t is positive.
t**(-5/9)
Simplify m**5*m*m**1*(m/(m**(1/3)*m)*m*m)**(-40) assuming m is positive.
m**(-179/3)
Simplify (d**(-6)*d**27)**3 assuming d is positive.
d**63
Simplify (y/(y*y**(2/5)*y*y))**(-39)*(y**(-19))**(3/10) assuming y is positive.
y**(879/10)
Simplify t/t**(1/8)*t**31*(t*t/((t*t*t**(5/2)*t)/t)*t)**(-1/2) assuming t is positive.
t**(261/8)
Simplify ((((x*x**1)/x)/(x**(6/13)/x))/((x/(x/((x*x**(1/3)*x)/x)*x))/(x/(x*x*x*x**(6/7)*x))))**(-2/85) assuming x is positive.
x**(1448/23205)
Simplify (((q/(q/q**(2/3)))/(q**(1/3)/q))**28)**(7/12) assuming q is positive.
q**(196/9)
Simplify ((d/(d**(4/11)/d))/d**19)/(d*d/(d*d/(d*d**12))*d*d)**33 assuming d is positive.
d**(-5636/11)
Simplify ((s/(s/s**11))/(s/((s/s**30)/s)))**(-1/18) assuming s is positive.
s**(10/9)
Simplify ((c/(c/c**(1/7)*c*c)*c*c)**(10/13))**(2/9) assuming c is positive.
c**(20/819)
Simplify (((x*x**2*x)/x)/x)**(-12)*(x*x/x**(-5)*x)/(x/x**9) assuming x is positive.
x**(-8)
Simplify ((n/(n*(n*n**(1/9)/n)/n)*n)/n**(-20))/((((n/((n*n/n**(-3/10))/n))/n*n)/n)/n**(-1/10)) assuming n is positive.
n**(1039/45)
Simplify ((t*t*t**(1/5))/t)**(2/9)/(t**5*t*t**(1/9)*t*t*t*t) assuming t is positive.
t**(-443/45)
Simplify ((j*j**(-7))/((j*j/(j/j**(2/9))*j)/j))/(j**(-1/4)*j**21) assuming j is positive.
j**(-1007/36)
Simplify u**(1/14)/u**(-4)*(u*u**10)/(u/(u*u**(6/11)*u)) assuming u is positive.
u**(2559/154)
Simplify ((o/(o*o/(o*(o/(o**9*o))/o)))/((o/o**15)/o))/(o**(-4/7)*o**16) assuming o is positive.
o**(-73/7)
Simplify u*u**(-12)*u*u/u**10*u*u*u/(u*u**(-2/11))*u*((u*u**(1/11))/u)/u assuming u is positive.
u**(-184/11)
Simplify ((s/(s*s**(-4)*s))/s)**30/(s**(-13)/(s/s**1*s)) assuming s is positive.
s**74
Simplify ((n**(1/2)/(n*n**1/n*n*n))**3)**(-13) assuming n is positive.
n**(195/2)
Simplify (i*i**(-1/11)*i)**(-1/3)/(i*i/(i/(i**(-4/17)/i*i*i)*i*i)*i**24/i*i*i) assuming i is positive.
i**(-4750/187)
Simplify (q**(2/15)*(q*q**(16/3))/q*q)/(q**(-4)*q/(q*q**(-7))) assuming q is positive.
q**(52/15)
Simplify (r/(r*r/(r*(r/(r**(4/3)*r))/r))*r*r*r**(3/4)*((r*r**4)/r)/(r/(r/r**6)))**(19/6) assuming r is positive.
r**(-361/72)
Simplify (n/n**(-3/10))/n*n**(2/35)*n*n**(2/43)/n*n*n*n*n*n/n**(-3/5)*n assuming n is positive.
n**(21081/3010)
Simplify (p/(p*p*p**1*p*p)*(p*p*p**(-8))/p*p)/((p*p**(-5/3))/(p*p**9)) assuming p is positive.
p**(2/3)
Simplify (q**(-5))**(-1/58)*q**8/q*q*q/(q/(q*q/(q/q**(-4/13)))) assuming q is positive.
q**(6619/754)
Simplify ((r**(-2/3)*r**(-3/7))**(-10))**(-3) assuming r is positive.
r**(-230/7)
Simplify (o/((((o*o/(o/o**(1/11)))/o)/o)/o)*o*(o**7*o*o)/o*o*o)/(o**(-1))**(-1/20) assuming o is positive.
o**(3049/220)
Simplify (((p*p*p/(p*(p**(-9)*p)/p)*p)/p)/(p*p/(((p/(p**(-6/5)*p*p)*p)/p)/p)*p*p))/((p/(p**(-2/55)/p)*p)/(p*p**(3/11))) assuming p is positive.
p**(244/55)
Simplify ((h*h*h*h**(-3)*h*h/(h*h**(3/7))*h)/(h*h/(h*h/(h/(h/(h/(h*h*h**(-1)*h))))))**(-39))**(-45) assuming h is positive.
h**(11790/7)
Simplify (((d/(d/((d/(d**(-3)/d*d))/d*d)))**(-11/2))**4)**28 assuming d is positive.
d**(-2464)
Simplify (l/(l**(2/5)/l)*l)/(l*l**5)*(l*l*l**(-1)*l)**(-2/35) assuming l is positive.
l**(-123/35)
Simplify (j**0/(j/(j**(-10/7)*j)*j))/(j**3/j*j*j**5) assuming j is positive.
j**(-73/7)
Simplify v**(2/5)*v**(2/17)*(v**(-8))**(-38) assuming v is positive.
v**(25884/85)
Simplify (p**(3/8)*((p*p**(-1/5)/p*p)/p)/p)/(p*p**(-1)*p*p)**(2/7) assuming p is positive.
p**(-391/280)
Simplify (a/(a/(a*a**(-11)*a)))/(a*a**(-2/23)*a)*a**(1/6)/(a/(a*a**5*a)) assuming a is positive.
a**(-655/138)
Simplify (i*i**(-1/3)*i*i**(1/7))/(i**(-1/15)*i**(-8)) assuming i is positive.
i**(1037/105)
Simplify d/d**22*d**(-2/9)*((d/(d*d**(-4/5)))/d)/(d/(d/((d**(-3/8)*d)/d))) assuming d is positive.
d**(-7577/360)
Simplify (z/((z**(-12)/z)/z)*z*z/z**11)/(z*(z**12*z)/z*z**4/z) assuming z is positive.
z**(-10)
Simplify ((b**(3/4)*b**0*b)/(b/(b/b**(-1/2))*b/b**(-1/4)*b*b*b))**(-2/9) assuming b is positive.
b**(4/9)
Simplify ((j**(2/7)/j**7)/(j*j**5*j*j/(j*j**(1/3)*j)*j))**(-8) assuming j is positive.
j**(2248/21)
Simplify ((z*z**6*z)/(z/(z/(z**(-7/3)*z)*z)))/((z**(-2/13)/z)/(z/z**(-5/2))) assuming z is positive.
z**(1169/78)
Simplify (c/c**(5/6)*c*c/(c**(-9)/c)*(c/(c*c*(c*(c/(c*c*c**(-1/4)))/c)/c))**(22/9))**(-49) assuming c is positive.
c**(-686)
Simplify z**(-10)*z**1/z*(z/z**(-3))**4 assuming z is positive.
z**6
Simplify (g/(g*g*g**(-1/5))*g**(4/3))/(g**(-27)*g/g**(-9)) assuming g is positive.
g**(263/15)
Simplify w**(-8/3)*w**(3/20)*w/w**(1/9)*w*w*w**16/w assuming w is positive.
w**(2767/180)
Simplify (a*a**(-2))**49*(a/(a*a**(-7)*a*a))/(a/a**(-3/8)) assuming a is positive.
a**(-363/8)
Simplify (f/f**3)**11/((f**(-19)/f)/f*f*f**(1/29)) assuming f is positive.
f**(-59/29)
Simplify (((z**(-1/2))**(-3))**(14/9))**(-36) assuming z is positive.
z**(-84)
Simplify ((u/(u*u**(-2/55)/u*u))/u)**(-1/72)/(u**(-25)/u*u*u*((u/((u**23*u)/u))/u)/u) assuming u is positive.
u**(190133/3960)
Simplify ((l**(-3/7)/l)/(l/l**7))/(l**1/l*l*l*l/((((l/(l*((l/l**(6/11))/l)/l*l*l))/l)/l)/l)) assuming l is positive.
l**(-145/77)
Simplify (((s*((s/s**(-6/11))/s*s)/s)/((s**(-2)/s)/s))**(-22))**12 assuming s is positive.
s**(-1464)
Simplify (n/(n*n*(n/n**(-6)*n)/n*n))**8*(n/n**(-2))**(-1/13) assuming n is positive.
n**(-939/13)
Simplify (r**(-1/4))**48*(r*(r/(r/r**(1/4)*r))/r)/(((r/(r/(r*r**(-11)))*r)/r)/r) assuming r is positive.
r**(-7/4)
Simplify (((h/((h/(h**(-13)/h*h))/h))/h)/(h/h**(-2/5))*(h*(h/h**(-3))/h)/(h/((h*h**(1/3)/h)/h*h)))**(6/31) assuming h is positive.
h**(-332/155)
Simplify (p/(p*p**(-1/6)/p))**43/((p**(-2/17)/p*p*p*p)/(p**(-4/9)*p)) assuming p is positive.
p**(14945/306)
Simplify h**7*((h**16*h)/h)/h*h/(h*h/(h/(h**(-2/35)*h)))*h*h*h*h*h/(h/(h*h**(-1/7))) assuming h is positive.
h**(907/35)
Simplify (u**(-1/3)/u)/u**(-3/14)*u**(2/9)/u**(-8) assuming u is positive.
u**(895/126)
Simplify ((h**(-4/3)/h*h*h*h**(1/5)/h)/(h**(-6)/h*h**0*h))**19 assuming h is positive.
h**(1387/15)
Simplify c/c**(6/13)*c**(4/5)*(c*c/(c/(c/(c/c**(1/10)))))/(c*(c*(c/(c*c**(-1/17)/c)*c*c)/c)/c) assuming c is positive.
c**(-1371/2210)
Simplify (j/j**(15/2)*j**(5/9))/((j/(j/(j/(j**(1/17)*j))))/j**(-2/11)) assuming j is positive.
j**(-20423/3366)
Simplify (w*w/(w/((((w**5*w*w)/w)/w)/w))*w/w**(-3)*((w*((w/(w**0*w))/w)/w)/w*w)/(w/w**3*w))**(13/6) assuming w is positive.
w**(39/2)
Simplify (z**18)**10*(z*z*z**(-25)*z)**(-2/39) assuming z is positive.
z**(7064/39)
Simplify (h**(-2))**(16/9)*(h**(1/3))**(-1/26) assuming h is positive.
h**(-835/234)
Simplify (l/(l/(l/((l*l**(5/2))/l))))/l*l**12*(l/(l*l**(-6)))/(l*l/(l/((l*l**12)/l))*l) assuming l is positive.
l**(3/2)
Simplify ((o*o**(-10/7))/o)/(o*o*o/(o**16/o))*o/(o/o**(-1/3))*o*o**(1/20) assuming o is positive.
o**(4741/420)
Simplify w**(-1/9)*(w/(w/(w/(w**(-1/7)*w))))/w*w*w/(w*w**(-1)*w)*w**(-6) assuming w is positive.
w**(-376/63)
Simplify (((v*v/((v**28/v)/v))/v)/v*v**(1/27))/(((v*v**(-6))/v)/(v**(-1/20)*v)) assuming v is positive.
v**(-10267/540)
Simplify ((y**(-2)*y**(-1/7))/(((y*y/(y/(y**(-4)*y))*y)/y)/(y/(y/(((y/y**(-5/4))/y)/y)))))**(-2/7) assuming y is positive.
y**(-3/98)
Simplify (r**(-10)/(r*r/(r*(r**(-1/13)*r*r)/r*r)*r))/((r*r*r/(r/(r/((r**(-12)*r)/r))))/((((r*(r**(-28)/r)/r)/r)/r)/r)) assuming r is positive.
r**(-742/13)
Simplify ((v**(6/19)*v)/(v/(v**(-2/25)*v)))**(-5/14) assuming v is positive.
v**(-587/1330)
Simplify (s**(-27)*(s*s**6)/s)/(s**16*s**8) assuming s is positive.
s**(-45)
Simplify (a**(-6)*a)**(1/31)/((a*a*a**(2/5))/(a/(a/(a/a**(-3)*a)))) assuming a is positive.
a**(378/155)
Simplify b**(-1/4)/(b*b/(b*b/(b*b**(4/9))*b))*(b/((b**(2/61)/b)/b))/(((b/b**(-21))/b)/b) assuming b is positive.
b**(-38929/2196)
Simplify ((h**(
|
{
"pile_set_name": "DM Mathematics"
}
|
y
Let g be ((-6)/(-9))/((-68)/(-60) + -1). Put -3, 2, -8, g in descending order.
g, 2, -3, -8
Let u = -19 - -11. Let r = 11 + u. Put r, -2/11, 13 in ascending order.
-2/11, r, 13
Let x = -6 + 14. Let l be 4/(-10) - x/30. Put -1, -4, l in decreasing order.
l, -1, -4
Let o = -0.3 - -0.26. Let f = -5.04 - o. Let h = -1 - f. Sort 0, h, 1/7 in descending order.
h, 1/7, 0
Let w(m) be the second derivative of -m**4/12 - 2*m**3/3 + m**2 + m. Let y be w(-5). Suppose -6 = 3*a + 2*d, 2*a + a + 9 = -d. Put a, 5, y in decreasing order.
5, y, a
Let a be (-7)/(-21) + 10/(-3). Put 3, -5, a in decreasing order.
3, a, -5
Let l(w) = -w - 8. Let a be l(-4). Suppose 0 = -2*c - 0 + 4. Sort c, a, -2.
a, -2, c
Let j = -41 + 36. Put -1, -1/3, 5, j in decreasing order.
5, -1/3, -1, j
Let b = 0.7 + 0.3. Let d = 8 - 60. Let v = 365/7 + d. Put v, -2, b in descending order.
b, v, -2
Let n(p) = p**3 + 7*p**2 - 2. Let o be n(-7). Let k = 0.2 - 0.3. Let z = 31 + -26. Put z, o, k in decreasing order.
z, k, o
Let b = 3/8 - 1/24. Let c = 0.01 - -0.39. Put c, -5, b in descending order.
c, b, -5
Let w(j) = -2*j + 5. Let i be w(4). Suppose 4*f + 12 = -2*h - 2, -20 = -5*h + f. Let p = -4 + 0. Put h, p, i in descending order.
h, i, p
Let x = -27 + 20. Let c = x - -10. Sort -2, c, 6.
-2, c, 6
Let a = -20 - -22. Suppose 2 = -f - 0*f. Sort a, -4, f in descending order.
a, f, -4
Let v = -0.4 + -1.6. Let l = 2.5 + v. Let n = 234 - 2104/9. Put l, -0.5, n in increasing order.
-0.5, n, l
Let b = -34 - -36. Sort 0, b, 2/7, -1/2.
-1/2, 0, 2/7, b
Let t = 409 - 401. Let k = 2 + -1. Put -1, k, t in descending order.
t, k, -1
Let s = -1527/11 - -139. Let x = -0.07 - -0.27. Put -1, s, x in descending order.
x, s, -1
Suppose 0 = 2*z - 0*z. Sort -2/9, z, 3/2 in ascending order.
-2/9, z, 3/2
Let w be 32/14 + (-22)/77. Suppose -6*o + 16 = -2*o. Suppose 0 = b + 5*a + 10 + 4, 0 = 5*b + 5*a + 10. Sort w, o, b in descending order.
o, w, b
Let q be (8/12)/(6/(-9)). Let i = -16 - -16. Put i, 5, q in descending order.
5, i, q
Let b = -3 + 6. Let i(a) = -a**3 - 2*a**2 - a + 1. Let c be i(-2). Suppose -4*o + 5 = -c*o. Put 1, o, b in ascending order.
1, b, o
Let o(n) = n + 7. Let z be o(-6). Suppose -2*h = -3*h. Let b be 2/(3/(-6) + h). Put b, z, 4 in descending order.
4, z, b
Let f = 48/35 - 11/7. Sort 5, -2/3, 4, f in descending order.
5, 4, f, -2/3
Let p = -2.2 + 0.2. Let i = 1.5 + -1. Put i, 0.4, p in ascending order.
p, 0.4, i
Let k = 158 - 793/5. Let n = -88 + 266/3. Put k, n, 5 in descending order.
5, n, k
Suppose 3*p + 75 = 72. Put 3, 1, -3, p in descending order.
3, 1, p, -3
Let l be (2/(-4))/((-5)/(-2)). Let x be -10*(93/7038)/1. Let n = 1/69 + x. Sort 1, n, l.
l, n, 1
Suppose -4*z = 20 - 72. Let a be 11/z - (-4)/26. Let v(y) = 2*y**3 - 3*y**2. Let o be v(2). Sort a, -0.4, o in decreasing order.
o, a, -0.4
Let w = 25 - 17. Suppose -4*v + w = -2*a, 6 = -0*v + 3*v. Suppose 5*x + 7 = 3*i, 0*x + 2*x = 3*i - 10. Sort x, a, 4.
a, x, 4
Let b be (1 - (-5)/7)*7. Suppose -3*o + b = o. Let h(a) = a**2 - 4*a. Let m be h(o). Put m, 5, 3 in increasing order.
m, 3, 5
Let u be (56/(-20))/((-3)/(-15)). Let k = 9 + u. Sort -1/5, -2/7, k.
k, -2/7, -1/5
Let t(y) = y**3 + 6*y**2 - 7*y - 1. Let l be t(-7). Put 5, 2, l in decreasing order.
5, 2, l
Let s = 2 + -9. Let a = 49 - 439/9. Sort 0, a, s in ascending order.
s, 0, a
Let h(c) be the second derivative of -3*c**5/20 - c**4/6 - c**3/6 - 2*c. Let t be h(-1). Sort t, 0, -2 in descending order.
t, 0, -2
Suppose 0 = -5*o + 30 - 5. Suppose 2 = 3*w + o*l, 0 = 3*w + 2*w + 5*l. Put 4, w, 0 in decreasing order.
4, 0, w
Let g = 1.2 + -1.5. Let i = -142427295/292 - -487766. Let r = 3/73 - i. Sort r, -2/3, g in ascending order.
r, -2/3, g
Let n = -2.4 - 0.6. Suppose -2*c + 5*a = 13, -c + 5*a - 12 - 2 = 0. Let b be 0 - (6/(-1) - -1). Put c, n, b in decreasing order.
b, c, n
Let y(a) = 2*a**2 - a + 1. Let t be y(1). Suppose 0 = -t*b - 2*b. Suppose -7 + 10 = -o. Sort 5, o, b in ascending order.
o, b, 5
Let b(y) = -y - 7. Let q be b(-3). Sort 1, q, -9, 3 in ascending order.
-9, q, 1, 3
Suppose 0 = -y - 3*a - 18, 0*y = -4*y + 2*a - 2. Let x = -1.7 - -2.8. Let d = x - 0.1. Sort 0, d, y.
y, 0, d
Let d = 1.63 - -0.17. Let w = d - 2. Let q = w + 0.2. Sort 5, q, 1 in decreasing order.
5, 1, q
Let h(c) = 8*c**2 + 2*c - 1. Let v be h(1). Let l = v + -4. Put l, -1, -5 in decreasing order.
l, -1, -5
Let t be (-3)/10*((-32)/9 - -3). Put -3, 3/5, t in decreasing order.
3/5, t, -3
Let q = -19 + 17.9. Let b = -6.1 - q. Sort -0.3, 0.3, b in ascending order.
b, -0.3, 0.3
Let o(y) = 2*y - 9. Let b be o(5). Put -2/3, -9, b in increasing order.
-9, -2/3, b
Let p = -0.02 - -0.06. Let x = p - 0.24. Sort 3, x, -2/3.
-2/3, x, 3
Let f(m) = -m**2 - m + 22. Let k be f(-5). Put k, -2, 7 in ascending order.
-2, k, 7
Let i be 3 + -2 - (0 + 3). Suppose -6*u - 11 - 19 = 0. Sort u, i, -3 in increasing order.
u, -3, i
Suppose -5*r + 15 - 55 = 0. Let c be (4/r)/((-2)/(-2)). Sort c, -0.4, -2 in increasing order.
-2, c, -0.4
Suppose t - 5*x + 3 = -4, -10 = -2*t - 2*x. Suppose t*o = -2*u + 4, o - 5*u = -u - 22. Sort o, 3, -5 in ascending order.
-5, o, 3
Let a = 1 + -2. Suppose -3 - 7 = -5*n. Put -4, a, n in decreasing order.
n, a, -4
Suppose -45 = 8*c + c. Put c, 1, 4, -2/9 in decreasing order.
4, 1, -2/9, c
Suppose 3*h + 12 = 0, 3*x - 4*h - 24 = x. Put 1, x, -2 in decreasing order.
x, 1, -2
Let c(g) = 36*g - 6. Let r be c(-6). Let l = r - -1551/7. Put 5/2, -5, l in decreasing order.
5/2, l, -5
Let m(l) = 4*l**2 + l. Let k be m(-1). Let a(s) = -s**2 + 3*s + 3. Let o be a(4). Suppose 2*j + 15 = -3*j. Put k, j, o in descending order.
k, o, j
Let k(l) be the third derivative of l**6/120 + 2*l**5/15 - 5*l**3/6 + 2*l**2. Let s be k(-8). Let c(z) = 2*z**2 - z. Let f be c(-1). Sort s, f, 0.3.
s, 0.3, f
Let g(c) = c**3 + 5*c**2 + 4*c - 3. Let b(j) = j**2 - 6*j - 4. Let v be b(6). Let a be g(v). Suppose 3*m - 15 = -0*m. Sort 0, m, a.
a, 0, m
Suppose -4*y = -5*m + 4 + 4, 0 = m + y - 7. Let a be 4/8 + 3/(-10). Sort a, 2, m.
a, 2, m
Let b = -86 + 83. Sort b, 0.4, -3/2, -2 in descending order.
0.4, -3/2, -2, b
Let a = -87/4 - -22. Let t(h) = -2*h**2 - 3*h - 4. Let g be t(-3). Let c be 2/(-8) + g/(-4). Sort -1/6, a, c in descending order.
c, a, -1/6
Suppose 0 = 3*n + 6, l + 4*n + 12 - 2 = 0. Put 2, l, 0.09 in increasing order.
l, 0.09, 2
Let z be ((-1)/(-14))/((-3)/6). Put 4, z, -0.5 in decreasing order.
4, z, -0.5
Suppose 3*r + 5 = 8*r. Let y(c) = c - 2. Let d be y(-2). Put 5, r, d in descending order.
5, r, d
Let a be (-3 - -5) + (0 - -1) - 0. Put -0.2, a, 3/2, 0.1 in descending order.
a, 3/2, 0.1, -0.2
Suppose 2*n = -v + 17 + 3, 5*v - 5*n = 85. Suppose 3*d - v = 3*q - 6*q, q - 2 = 0. Let b(f) = f - 7. Let l be b(6). Put d, l, 2 in decreasing order.
d, 2, l
Let c(p) = p**2 - 5*p - 2. Let m be c(6). Let b be m/(-30) + (-292)/60. Put 3, b, 0 in increasing order.
b, 0, 3
Let z(s) = -2*s + 3. Let a be z(3). Let y = -341 + 344. Let v be -1 + (1 - 8/(-18)). Sort y, v, a.
a, v, y
Let c = 49 - 48.7. Put c, -3, 2, 5 in ascending order.
-3, c, 2, 5
Let n = 53 - 52. Sort 3, -2, -3, n in decreasing order.
3, n, -2, -3
Let n = -0.35 - -0.05. Let r = 0 - n. Sort -1, -2, r in ascending order.
-2, -1, r
Let i = -10 - -5. Let n = 4 - 4. Put i, 2, n in descending order.
2, n, i
Let w = -4 - -6. Sort w, -3, 0.
-3, 0, w
Let r = 3.004 - 0.004. Let y(a) = -a**3 - 7*a**2 - 4*a - 6. Let b be y(-6). Let l be (-2)/9 + (-8)/b. Put r, l, 2 in decreasing order.
r, 2, l
Let l = 0.2 - -0.3. Let c = l - 0.45. Let w = c + -5.05. Sort 4/7, 2/7, w in descending order.
4/7, 2/7, w
Let f be (4/(-6) - 0)*1. Let q = -7.5 + 7. Put q, f, -0.2 in decreasing order.
-0.2, q, f
Let x = -23.6 - -24. Put x, 6, 0.1 in ascending order.
0.1, x, 6
Let v(d) = d**2 + 7*d + 4. Let s be v(-6). Suppose -u + 4 = 5*l, -l = 2*u - 6*l - 23. Let y be 3/u*s/(-6). Sort 5, y, -3 in descending order.
5, y, -3
Let b = -116 + 121. Put 4, 0.3, b in decreasing order.
b, 4, 0.3
Suppose i + 2 = -4. Let g = i - -11. Suppose 4*j + 24 = 8. Put g, j, -5 in ascending order.
-5, j, g
Let y = 361 - 357. Let s = 0.24 + 0.06. Put y, s, -3 in ascending order.
-3, s, y
Let t = -6.7 + 7. Let b = t + -0.1. Sort b, -3, -4 in ascending order.
-4, -3, b
Suppose 3 - 5 = -2*y. Sort y, 2/9, 0.1.
0.1, 2/9, y
Let n = -0
|
{
"pile_set_name": "DM Mathematics"
}
|
-4 - 10. Let l = h + g. Is l a multiple of 5?
True
Let g(m) = 2*m + 291. Let j(f) = f**2 + f - 2. Let p be j(-2). Let a be g(p). Let z = a - 200. Does 23 divide z?
False
Let j(r) = 6*r - 48. Let s be j(6). Let q(a) = -a - 2. Does 4 divide q(s)?
False
Let c(t) = 8*t**2 - 8*t + 0*t + 12 - 5*t**2. Let q be c(6). Suppose 3*s - 3*n = q, -5*s + 4*n + 108 = 2*n. Is 10 a factor of s?
True
Let c(r) = 3*r + 10. Let q(z) = z**2 - 3*z - 3. Let m be q(5). Let g be c(m). Suppose -4*p + 197 = -g. Is p a multiple of 15?
False
Let b = 855 + 285. Is 19 a factor of b?
True
Suppose -x + 853 = -4*s, 0 = -x - 32*s + 30*s + 859. Is 14 a factor of x?
False
Suppose -158 = -4*d + 118. Let p = d + 80. Does 37 divide p?
False
Is ((-234)/(-5))/(208/5720) a multiple of 99?
True
Suppose 5*l = s + 3*s + 424, 3*s + 428 = 5*l. Does 44 divide l?
True
Let i = -36 + 96. Is 41 a factor of i?
False
Let c be (-18)/(-10)*55/33. Suppose 0 = -c*d + 12*d - 1161. Is d a multiple of 6?
False
Let l(m) = -m**3 - 4*m**2 - 4*m + 8. Let x = -2 - -6. Let f(k) = -k**3 - 5*k**2 - 5*k + 7. Let u(i) = x*f(i) - 3*l(i). Does 4 divide u(-7)?
False
Suppose -j + 265 + 58 = 5*k, k - 997 = -3*j. Is j a multiple of 24?
False
Suppose 5*m = 3*m + 278. Suppose 0*j = -5*j + 10, -3*u = 2*j - m. Is u a multiple of 15?
True
Let r(z) = -4*z - 17. Suppose -3 = -4*h - 43. Is 23 a factor of r(h)?
True
Let w = -1 + 1. Suppose -3*b - k = -0*k - 54, w = -b + 2*k + 18. Is 4 a factor of b?
False
Suppose 6*d = 1227 - 261. Is d a multiple of 5?
False
Let t(c) = 2*c**2 + c + 84. Let i = 23 + -12. Suppose -6*o + i*o = 0. Is t(o) a multiple of 23?
False
Let u = -12 - -13. Suppose 0 = -3*k + m + 241, m = 2*m + u. Does 9 divide 4/12 + k/3?
True
Suppose 0 = 3*o - 5*n - 5 + 97, n - 59 = 2*o. Let j be 49/(-1)*2/2. Let w = o - j. Is w a multiple of 10?
True
Let j = 848 + -650. Does 11 divide j?
True
Suppose 2*o = -10, -10*u + 3*o = -8*u - 789. Is u a multiple of 24?
False
Let r = 28 - 64. Does 16 divide (-710)/4*(1 - r/(-20))?
False
Let y be ((0 - 1) + 2)*131. Suppose 4*t - i - 41 = 56, y = 5*t + 2*i. Let l = t - 5. Does 20 divide l?
True
Suppose -5 = -2*b + 3. Suppose o + 4*y = -3*o + 16, 41 = b*o - y. Suppose o = 4*a - 2*x + 5, x = 3*a - 4. Is 2 a factor of a?
True
Suppose 5*k = -2*a + 1572, 0*a = k - a - 320. Is 5 a factor of k?
False
Let o(f) = f**2 + 5*f - 7. Let q be o(5). Let m = q - 31. Does 6 divide m?
True
Let o = 553 - 300. Suppose 6*q - o = 149. Does 9 divide q?
False
Let p(x) = -x**3 + 17*x**2 - 5*x - 48. Let l(f) = -f**3 + 17*f**2 - 6*f - 47. Let b(i) = 6*l(i) - 7*p(i). Does 2 divide b(17)?
False
Let c be 8/(-24) - (-10)/(-6). Let u be (-6 - -8)/(c/(-5)). Suppose 40 = -2*z - 3*t + 125, 3*z + u*t = 128. Is 18 a factor of z?
False
Let b(s) = 10*s**3 - 2*s**2 + 1. Let m(h) be the second derivative of h**4/12 + 5*h**3/2 + 15*h**2/2 + 2*h. Let g be m(-14). Is 4 a factor of b(g)?
False
Is (-43 - (2 + -1))/((-5)/10) even?
True
Let w(i) = -12*i - 1. Let l be w(-1). Let v = 13 - l. Let k = 7 - v. Does 5 divide k?
True
Let f(y) = -y**2 + 25*y + 34. Does 17 divide f(21)?
False
Let h = -26 + 28. Suppose -h*m + 3 = 3*m + z, -4*m + 12 = 4*z. Suppose 5*q + 4*x - 150 = -m*q, 2*q + x = 63. Is q a multiple of 34?
True
Suppose 5*q + 62*q - 380426 = 0. Does 17 divide q?
True
Let o = -474 + 2427. Is 51 a factor of o?
False
Let m(g) be the second derivative of g**5/20 + g**4/6 + g**3 - 3*g**2/2 + g. Let d(j) be the first derivative of m(j). Is 15 a factor of d(-5)?
False
Let n(c) = -3 - 2*c**3 + 6 - 4. Let u be n(-1). Does 21 divide 3*(u - 3 - -25)?
False
Let q = -9 + 11. Let c be (-546)/(q - 5) - 2. Is (c/6)/(4 - 2) a multiple of 14?
False
Suppose 2*i + 5 = 1. Let c(g) = -19*g**3 + 3*g + 7. Is c(i) a multiple of 17?
True
Suppose u - 28 = -2*y, 0*u + 5*y = 4*u - 112. Suppose 6*d - 5*d - u = 0. Is d a multiple of 7?
True
Suppose -18*a + 5225 = a. Does 13 divide a?
False
Suppose 0 = 2*o - 7*o + 50. Suppose 0 = 4*y - 2 - 2, 0 = 4*b + 4*y - 168. Is 5 a factor of 6/(-2) + (b - o)?
False
Let g(d) = -4*d + 30 - 23 - 11. Suppose 2*p = 2*r - 4, 4*p = 4*r - p - 13. Does 4 divide g(r)?
True
Let g = 512 + 47. Does 17 divide g?
False
Suppose -14*a - 724 = 648. Is (3/(-2))/(1/a) a multiple of 7?
True
Let p(t) = 2*t - 9. Let j be p(8). Suppose j*v = 39 + 542. Does 8 divide v?
False
Suppose 8*k + 25*k - 1188 = 0. Does 18 divide k?
True
Let k(c) = c**3 + 12*c**2 - 14*c - 11. Let o be k(-13). Suppose 0 = 2*l - 4*g - 1 - 3, -l + o = g. Is 2 a factor of l?
True
Let k be (3 + 21/(-6))*8. Let d(n) = 3*n**2 + 8*n - 4. Is 3 a factor of d(k)?
True
Let r be 6/((-3)/((-9)/6)). Suppose -r*d = -4*d + 74. Let w = -44 + d. Does 16 divide w?
False
Suppose -6*q + 3*w = -2*q - 14249, -5*q = -w - 17814. Does 16 divide q?
False
Let h be ((-7)/2 - -2)/((-3)/(-4)). Is 17 a factor of h - -1 - ((0 - 31) + -4)?
True
Suppose 6*h = h. Suppose 6*x = x + 25. Suppose x*g + 0*i = -2*i + 161, -2*i - 4 = h. Is g a multiple of 10?
False
Let f(y) = -289*y - 1236. Is f(-16) a multiple of 11?
True
Let w = 215 + -116. Suppose -3*n + 0*n + 89 = -s, 3*n - w = 3*s. Does 14 divide n?
True
Suppose 0 = 7*j - 68 + 5. Let t(x) = -x**3 + 11*x**2 - x + 12. Does 33 divide t(j)?
True
Suppose -62 = q + 5. Let p = 1 - q. Is p a multiple of 22?
False
Let h(d) = -d**3 + 9*d**2 - 9*d - 8. Let q be h(6). Does 10 divide q - (4/4 - 3)?
False
Suppose -w - 3*w + 60 = 0. Let y = w - 12. Suppose -y*h = -h - 80. Does 12 divide h?
False
Let v(r) = -16 - 39 - 35*r + 9*r. Is 22 a factor of v(-11)?
False
Suppose 6*y - 2*y - 4*b = 28, 0 = 4*y + 2*b + 2. Is (15/5)/(y/58) a multiple of 29?
True
Suppose -11 - 5 = -2*p - 2*m, 0 = 2*p + 4*m - 24. Is (-462)/(-4) - 2*1/p a multiple of 42?
False
Let j(l) = -3*l + 24. Let a be j(8). Suppose a = -k + v + 159, -5*k - v + 1071 = 258. Is k a multiple of 36?
False
Suppose -3*v - 4*a + 1457 = 0, -2*v + 5*a + 368 = -634. Is 52 a factor of v?
False
Let c = 14 + 370. Does 16 divide c?
True
Suppose -4*f + 0*f - 336 = -4*o, 0 = 5*o + 3*f - 420. Suppose 6*q - 3*q - 4*l = o, -5*q + 117 = l. Suppose 24 = 4*d - q. Does 3 divide d?
True
Suppose 0*a + a - 3*p + 5 = 0, 3*a + 3*p + 39 = 0. Let i(g) = g**3 + 12*g**2 + 8*g. Does 8 divide i(a)?
False
Let s(r) = r**3 - 29*r**2 + 193*r - 15. Is 14 a factor of s(25)?
True
Let f(i) = i**2 + 5*i - 7. Let n be f(5). Let q = n + -75. Let t = 55 + q. Does 13 divide t?
False
Let j(u) = -5*u**2 + 4*u + 11. Let d be j(-5). Let w = -48 - d. Is w a multiple of 15?
False
Suppose 694 = -5*k - 81. Does 3 divide (-18)/27 - k/3?
True
Let n be 2 + 1 + (-4 - -2). Let c be (n - 5)*2/(-2). Suppose -5 = -s + 4*g - 0, -s + c = -5*g. Is 3 a factor of s?
True
Let n = -129 + 87. Does 4 divide (2/(-1) - n)/2?
True
Let x(q) = -2*q. Let z be x(0). Let k be 0 - 1 - z - 0. Does 2 divide (6 - 1) + (-1)/k?
True
Let u(p) = -p**2 + 14*p + 8. Let w(h) = 3*h**2 + 7*h - 7. Let c be w(-4). Does 7 divide u(c)?
True
Let h be (-4 + 23)/((-2)/(-8)). Suppose 5*w + h = 4*w. Let u = 145 + w. Is u a multiple of 23?
True
Let g(i) = 1. Let w(u) = 5*u + 7. Let y(f) = -3*g(f) + w(f). Let r(c) = -c**2 + 5*c + 2. Let n be r(4). Does 10 divide y(n)?
False
Suppose 0 = -5*h - 2*o + 1652, 3*h + 2*o - 1094 + 106 = 0. Does 19 divide h?
False
Let g = 159 - 97. Suppose 2*i + 3*z - 41 = 0, -i + 3*i - 4*z = g. Is i a multiple of 24?
False
Let b = 28 + 251. Is 9 a factor of b?
True
Suppose 8*a = 3*a + 45. Let b(k) = -4*k - 54*k**2 + 46*k**2 - 7 + k**3 + 9 - 10. Does 29 divide b(a)?
False
Let w(x) = -x - 6. Let a be w(-5). Let l(o) = 239*o - 1. Let u be l(a). Let f = -159 - u. Does 27 divide f?
True
Let t = 502 - 74. Does 15 divide t?
False
Suppose -3*w + 4*d - 75 = 0, 0 = -4*w - 4*d - 20 - 52. Let r be 4/3*w/(-14). Is 22 + r*(-9)/6 a multiple of 12?
False
Let p(i) = i**3 - 6*i**2 - 14*i - 15. Let r be p(8). Let a(o) = 53*o**2 + 7*o - 7. Is a(r) a multiple of 9?
False
Let w(y) = -y**3 + 3. Let x be w(0). Suppose 4*k - 3*r - 1481 = 0, 2*k - 3*k + 374 = x*r. Suppose 5*u - k = -111. Is 26 a factor of u?
True
Let d be 14 + -13 - (-2 - -1 - 8). Is 28 a factor of (-1 + 6/d)/((-8)/2240)?
True
Suppose 4*a - 8*a = -j + 41, -3*a - 188 = -5*j. Suppose -3*x = -119 - j. Does 7 divide x?
False
Let f(a) = a**2 - a + 1. Let p(o) = -o**3 + o**2 + 15*o - 9. Let r(g) = 5*f(g) + p(g). Let z be r(7). Suppose 12*j - z*j = -110. Is j
|
{
"pile_set_name": "DM Mathematics"
}
|
hich is the biggest value? (a) p (b) -2/11 (c) -23 (d) -1/5
a
Let d be 4/22 + (-62)/(-22). Let m be 52/d + 4/6. Let n be m/24*(-2)/(-3). Which is the smallest value? (a) 4 (b) 1/4 (c) n
b
Suppose -h - 351 + 1106 = 0. Let a be ((-4)/90)/(1/h). Let p = a - -101/3. What is the third smallest value in p, 3, -2/9?
3
Let y = -6.6 - -6.5. Which is the biggest value? (a) y (b) 0.2 (c) -1/20 (d) -0.4
b
Let w = 5.25 + -0.25. Suppose j = 5*m + 4*j + 37, 3*m = 5*j + 5. Which is the third biggest value? (a) w (b) m (c) -1/6 (d) -2
d
Let y(t) = t**3 + 8*t**2 + 16*t + 19. Let o be y(-6). Let f = 7.7 + -8. Which is the second biggest value? (a) o (b) f (c) 1/2 (d) -2
b
Let r = 0.16 + -6.16. What is the second biggest value in -2/3, r, 0.3, -0.1?
-0.1
Let p = -57.8054 - -0.0054. Let i = -58 - p. What is the third smallest value in 2/3, i, 1/4?
2/3
Let h = 58 - 57.76. Let l = -6.24 + h. Which is the second biggest value? (a) l (b) 1 (c) -2
c
Let l be (6/4)/(3/8). Suppose -3*m - 16 = -2*u - 2, 0 = -3*m + l*u - 22. Which is the biggest value? (a) 0 (b) 3 (c) m
b
Let n = 455 + -379.9. Let y = -75 + n. What is the biggest value in y, 1/2, 1, -4?
1
Let u = -3.89 - -0.39. Let y = u + 3.47. Let s = -2.5 - -3. What is the second smallest value in y, s, 2/13?
2/13
Let x = 1.2 + -1. Let f = 65 + -44. Let u = f - 17. Which is the third smallest value? (a) 2 (b) x (c) u
c
Let i = -10 - -8. Let o = -5 - i. Let l = -24 + 24. What is the second biggest value in o, 0.5, l?
l
Let z = 4937902/2820249 + 14/18433. Let o = z + -26/17. Which is the smallest value? (a) 3/7 (b) o (c) -5
c
Let q = 0.35 - -17.65. Let g = q - 15. Let s = -6 + g. What is the second smallest value in 3, s, -0.3?
-0.3
Let u = 1/9 + 5/9. What is the fourth biggest value in -4, 1, 3/2, u?
-4
Let r be (-4)/50*(-19 + 24). What is the fourth biggest value in -2, r, 0.4, 1/2?
-2
Let v be (-429)/4 - 2/(-8). Let f be 838/(-8) + 8 + -11. Let q = f - v. What is the smallest value in 3, q, -1/8?
q
Let t = 145/6 - 68/3. Let r be 18/14 - 6/21. What is the second smallest value in -0.4, t, r?
r
Let h = -2 + 116. Let i = 111 - h. Which is the third smallest value? (a) 15 (b) -0.2 (c) i (d) -2
b
Let s = -95.86 - -95.9. What is the second biggest value in 0.5, -4, s?
s
Suppose -137 - 68 = 41*h. What is the second smallest value in h, 0.046, 4?
0.046
Let h = 263.2 + -268.2. Which is the biggest value? (a) -81 (b) -3/7 (c) h (d) 2
d
Let a(y) = y**3 - 6*y**2 - 7*y + 2. Let t be a(7). Let n be 315/63 + (-63)/13. What is the smallest value in -0.2, n, t?
-0.2
Suppose 52*p + 179 - 491 = 0. What is the smallest value in p, -4/5, -2?
-2
Let r = 452 + -450. Which is the fourth biggest value? (a) 1/3 (b) r (c) 4 (d) -0.4
d
Let m = -113 + 18.5. Let l = m + 94. Which is the third smallest value? (a) -0.09 (b) l (c) -0.4
a
Let c be (-10979466)/(-8236443)*-3 - -4. Let g = c + 3/4351. Let n = 1249/8203 + g. What is the second smallest value in n, 1/7, -2?
1/7
Let j = 27 + -10.5. Let x = -17 + j. Which is the second biggest value? (a) 4 (b) -4 (c) x
c
Let a be 1/(-2) - (-9)/(-2). Let t = 2646 - 2646.04. Let d be (3/2)/((-4)/(-8)). What is the biggest value in d, t, a?
d
Let k(q) = 10*q - 24. Let d be k(12). Let x = -136 + d. Let g be (-4)/(-18) - x/(-18). Which is the third biggest value? (a) -11 (b) g (c) 2/9
a
Let q = -413 + 417. Which is the smallest value? (a) 0 (b) q (c) -8 (d) -0.1
c
Let p = -138.3 + 142. Let d = 3.708 - p. Which is the second biggest value? (a) 3 (b) d (c) 1/3
c
Let m = -33 - -33.1. Which is the second biggest value? (a) m (b) 1 (c) -6.3 (d) -2/3
a
Let p = -0.5841 - -0.0841. Let j(s) = s - 1. Let o be j(5). Which is the third smallest value? (a) o (b) 13 (c) p
b
Let t = -7.9 + 8.2. Which is the smallest value? (a) 23 (b) 2 (c) 1 (d) t
d
Let o = -9487/9 + 1054. Which is the second biggest value? (a) 0 (b) o (c) 3/7
a
Let s be (153/(-425))/((-4)/((-60)/(-9))). Which is the second biggest value? (a) 2 (b) s (c) -0.21
b
Let a = -6 + 5.7. Let h = -4523/15855 + -1/2265. What is the second biggest value in -2, a, h?
a
Let z be ((-8)/10)/(-4) - 5/25. Which is the second smallest value? (a) -2/9 (b) 0.4 (c) 7/2 (d) z
d
Let c = -0.43 - -0.35. What is the second smallest value in 2, c, 0.09?
0.09
Let i = 1.4 - -2.6. Which is the second smallest value? (a) i (b) -4 (c) -2/7
c
Let j = -1480 - -1336. What is the third smallest value in -4, 0.1, j?
0.1
Let d = 0.2 + -0.1. Let u(y) = y**3 + 4*y**2 + 4*y. Let t be u(-3). Let k = 0.0119 - -0.9881. Which is the second smallest value? (a) d (b) t (c) k
a
Let y = 2008 + -1925.9. Let s = -81 + y. Which is the smallest value? (a) s (b) -0.4 (c) 4
b
Let y = -2.27 + 2.4. Let r = -4.87 - y. What is the second biggest value in -0.2, r, 5?
-0.2
Let f = -29/252 - 3/28. Suppose -4*t = 4*i - 27 + 31, -3*i = t - 1. Which is the second smallest value? (a) f (b) -2 (c) -0.03 (d) i
a
Let g = 276 + -555/2. What is the third biggest value in -3, g, -4.26?
-4.26
Suppose 4*c + 92 = 56. What is the biggest value in -1/2, -0.3, c?
-0.3
Let p = -26.013 - -0.013. Let y = p - -25.9. Which is the fourth smallest value? (a) 1 (b) y (c) -0.4 (d) -2/23
a
Let d = 2.937 - 2.937. Suppose m - 5*k + 8 = 2*m, 5*k = m + 2. Let b be (-4)/(-6) - 1/m. What is the smallest value in d, 1, b?
d
Let h(v) = -v**2 - 6*v - 3. Let g be h(-5). Suppose -11 = -g*s + 19. Which is the second biggest value? (a) s (b) -5/4 (c) 3
c
Let u be -1 - ((-17568)/(-28) + -3). Let t = -616 - u. Let w = -60/7 + t. Which is the third smallest value? (a) w (b) 4 (c) -2
b
Let c be 1/2*6/(-44)*8. Let s = 5 + -4.8. Let h = s + 0. What is the second smallest value in -0.1, c, h?
-0.1
Let d = 84/17 + -219/34. What is the third smallest value in -2/3, d, -98, -0.2?
-2/3
Let o = -0.44 + -27.56. Let n = -22 - o. Let p = 12 - n. Which is the second smallest value? (a) -2 (b) p (c) 1
c
Let m be 1/2*12/9. Let r(f) = -f**3 - 8*f**2 + f + 4. Let q be r(-4). Let u = 834/13 + q. Which is the smallest value? (a) 2 (b) m (c) u
c
Let c = -0.051 + 0.082. Let w = c - 1.031. What is the third smallest value in w, 2/21, 0.3?
0.3
Let r = 1094 + -766. Which is the second smallest value? (a) 3 (b) -4 (c) r
a
Let r be (770/165)/((-7)/(-6)). Which is the third biggest value? (a) -3 (b) -45 (c) r
b
Let w = -5.8 - -5.7. Suppose 0 = 4*n - 4*y, -y = -3 - 1. What is the third biggest value in 3/5, 1/16, w, n?
1/16
Let s = -2.3 + 0.9. Let w = s - -1.1. Which is the third biggest value? (a) 1/4 (b) 4 (c) w
c
Let k = -25 - -97/4. Let t = 1.3 + -0.3. Let r = -0.9 + t. Which is the biggest value? (a) 0.2 (b) r (c) k
a
Let u be (-46)/10 + 4/(-10). Let w = 44.39 - 44.19. What is the third smallest value in 0, u, w?
w
Let j be (-2 - 0) + (-170)/(-70). Let m = j - -19/21. Let q(c) = -c**3 - 3*c**2 + 6*c + 4. Let w be q(-4). What is the third smallest value in 0.04, w, m?
m
Let x = -1 + 6. Suppose -4*l - 4 = -x*v + 21, l = -3*v + 15. Let r = 4518 + -4517. Which is the second biggest value? (a) r (b) v (c) -13
a
Let t = -17 + 22. Let n = 4.8 - 5. Which is the biggest value? (a) -33 (b) n (c) t
c
Let k(d) = d + 11. Let f be k(-12). Let u = -3.7 + 3. Let y = -0.3 - u. Which is the smallest value? (a) y (b) 4 (c) f
c
Let z = -0.09079 - -0.00079. Suppose -14 = -4*h + 5*a - 0*a, -3*a = -3*h + 9. What is the second biggest value in z, h, -3, 2/3?
2/3
Let m be (-6)/(-15)*(-15)/(-36). Let z(i) = i**3 + 22*i**2 - 25*i - 52. Let t be z(-23). What is the third smallest value in t, 1/4, m?
1/4
Let j = -797 - -4781/6. What is the biggest value in 3, 7, j?
7
Let a = 35/22 + -12/11. Let j = -1875 - -1880. What is the second smallest value in a, 4, -1/4, j?
a
Let x = 31.9 + -37.9. What is the second biggest value in 0.3, 1/6, x?
1/6
Let f = 592 + -600. Which is the fourth biggest value? (a) 1/4 (b) f (c) 4/7 (d) 1
b
Let n = 0.08 + -2.08. Let g = -318 + 317.95. What is the second biggest value in -2/7, n, 2, g?
g
Let y = 0.22 + -0.26. Let f = 32.9 - 33. Which is the third biggest value? (a) y (b) 4/9 (c) f
c
Let f = -166/377 + 11/26. Let m = f - -31/116. What is the third biggest value in 0.1, -3, m?
-3
Let c = -1.4 + -2.6. Let z = 29 + -44. Let w be (5/9)/(z/(-18)). Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
i(m) = 6*m**2 + 31*m + 4. Let c be i(w). What is k(c)?
7
Let d = -5 + 8. Let l = 50 + -48. Let c(j) = 15*j**2 + d - 7*j - 4*j**l - 7*j**2 - 3*j**2. Determine c(7).
3
Suppose -7*q = 4*q + 121. Let m(h) = 32*h + 9. Let p(z) = 16*z + 5. Let t(f) = q*p(f) + 6*m(f). What is t(-1)?
-17
Let j(a) = 607 + 0*a**2 - a**2 - 603 + 2*a**2 - 5*a + 2*a**2. What is j(2)?
6
Suppose -2 + 17 = 3*m, -3*m = 4*n - 127. Let v = 206 - 180. Suppose -n = -q - v. Let t(d) = 3*d - 3. Give t(q).
3
Suppose -3*p = -81*s + 79*s - 9, s + 36 = -3*p. Let j(q) = 2*q**2 + 31*q + 13. What is j(s)?
-2
Let f(a) = -a**2 + 2*a. Let q be (-5)/((-275)/(-285)) + (-6)/(-33). Let i be 1*q*(-1)/1. Let p be i*(-2)/20 - (-14)/4. Determine f(p).
-3
Let t(h) = 16*h - 30. Suppose -m = -4*n + 30, -3*m + 2*m + 3*n - 22 = 0. What is t(m)?
2
Let n(g) = -78*g + 27. Let k(b) = 426*b - 136. Let l(s) = -2*k(s) - 11*n(s). Give l(5).
5
Let i(p) = 23*p - 150. Let u(g) = 13*g - 85. Let v(x) = -4*i(x) + 7*u(x). Let d = 26 - 37. Give v(d).
16
Let s = -24 - -28. Let c(z) = 4*z**2 - 4*z + 6. Let t(a) = -9*a**2 + 9*a - 13. Let v(i) = 7*c(i) + 3*t(i). Give v(s).
15
Let y(o) be the second derivative of -7*o**3/6 - 6*o**2 - 900*o. Give y(7).
-61
Let j be 14 - (2 - (-3 - -1)). Let w be 36/j - 9/15. Suppose -6 = -w*d + 12. Let p(o) = -o**2 + 4*o + 5. Calculate p(d).
-7
Let g(a) = -110*a - 4 - 1 + 338*a - a**2 - 109*a - 113*a. Give g(8).
-21
Let b(p) = 125*p + 22. Let x(a) = -94*a - 22. Let t(y) = 3*b(y) + 4*x(y). What is t(-11)?
-11
Let w(i) = -23*i**3 - 9*i**2 - 16*i - 9. Let b(t) = 18*t**3 + 7*t**2 + 14*t + 8. Let j(z) = -5*b(z) - 4*w(z). Give j(-2).
-4
Let v = 5 - -9. Suppose -40 = -2*r + 5*y - v, r + y = -1. Let x(j) = -55*j + 156*j + 4 - j**2 - 50*j - 48*j. Determine x(r).
4
Suppose -4*z + 3*z = 2*j - 78, -4*z = 2*j - 84. Let n(k) = 42 + j - 4*k**2 - 80. Suppose 3*c - c = -2. What is n(c)?
-4
Let x(z) be the second derivative of -7*z**3/6 + 49*z**2/2 + 2371*z. What is x(8)?
-7
Let w(o) = 4*o**2 + 3*o - 2. Let p be w(1). Let k(t) be the first derivative of -14 + 5*t - 1/2*t**2. Calculate k(p).
0
Suppose -6*s = -28*s + 10230. Let u = 458 - s. Let t(c) = -c**3 - 9*c**2 - 14*c + 10. What is t(u)?
10
Let u(s) = -s**3 + 7*s**2 - 5*s - 3. Suppose -74 + 104 = 6*n. Suppose 5*z - n*k - 5 = 0, 13 = 5*z - 2*z - k. Determine u(z).
3
Suppose 3*a - 17 = 7*q - 3*q, -5*a = 5*q - 5. Let p(v) = 3300*v**2 - 26*v - 6. Let k(o) = -1165*o**2 + 9*o + 2. Let t(j) = 17*k(j) + 6*p(j). Calculate t(q).
-16
Let w(z) = z**3 - 3*z - 14. Let o be (-3 + 1 + 2)/(20/(15 + -10)). What is w(o)?
-14
Let c(l) = -2*l + 16. Let t = 788 - 780. Determine c(t).
0
Let r(t) be the first derivative of t**3/3 - 14*t**2 - 32*t + 4920. Calculate r(25).
-107
Let h(q) = q**3 - 5*q**2 - 5*q - 4. Suppose -4*t + 5 = -19. Let n be h(t). Let i(v) = 0*v - 1 - 3 + 0*v - v**n - 2*v. What is i(-5)?
-19
Let g(y) be the second derivative of y**6/120 - y**5/20 - y**4/24 - 2*y**3/3 - 113*y**2/2 + 66*y. Let s(z) be the first derivative of g(z). Determine s(4).
8
Suppose -2*q = -12*l + 7*l - 190, -3*q - 5*l = -310. Let g(t) = q - t + 94 - 192. Give g(5).
-3
Suppose -32*j - 157*j = 1701. Let z(w) = -w**2 + 3*w + 22. What is z(j)?
-86
Let g be -5*24/(-30) + 2. Let i(w) = -7*w. Let c(s) = -4*s. Let u(y) = g*i(y) - 11*c(y). Calculate u(6).
12
Let r(s) = 60*s**2 - 62*s - 16. Let z(v) = -v**3 + v**2 + v + 5. Let i(o) = -r(o) - 2*z(o). Calculate i(30).
6
Let f(y) = 684*y - 1367*y + 3 + 682*y - 16. Give f(-7).
-6
Let i(y) = -y - 7. Let r = -18 - -19. Let b be r/3 + (-187)/(-51). Suppose -3*u - 2*m - 19 = 3*m, b*u = 4*m - 4. What is i(u)?
-4
Suppose 2*f = 3*j - 8, f + 4 = 5*j - 4*j. Suppose z + 4*a + 17 = j, z + 4 + 4 = -a. Let c(x) = -3 - 3*x + 4*x + 1. Give c(z).
-7
Let h(k) = 2*k**3 - 24*k**2 + 7*k. Let y(u) = 4*u**3 - 46*u**2 + 11*u + 1. Let b(v) = 5*h(v) - 3*y(v). Give b(9).
15
Let f be (13 + -8 - 14)*(-2)/3. Let m(x) = 7*x - 38. What is m(f)?
4
Let d(r) be the second derivative of -7*r**3/6 + r**2/2 - 1054*r. What is d(-2)?
15
Let v(a) = 4*a. Let q(c) = c**3 - 10*c**2 - 24*c. Let l(p) = -q(p) - 3*v(p). Give l(11).
11
Let a(l) = -151*l**2 - 153*l - 224. Let t(f) = 73*f**2 + 76*f + 111. Let i(r) = -15*a(r) - 31*t(r). Give i(32).
15
Let d(z) be the second derivative of -23*z - 7/2*z**2 - z**3 - 1/12*z**4 + 0. Let g = -5 - 0. Calculate d(g).
-2
Let h be 13 + -11 + -21*1 + -2 + -1. Let w(x) = -2*x**2 - 44*x - 7. What is w(h)?
-7
Let b(d) = 2*d**3 - 4*d**2 + 3*d. Let k(x) = 2*x**2 + x + 1. Let q(u) = u**3 + 7*u**2 - u + 8. Let o(n) = -2*k(n) + q(n). Let l be o(-4). Determine b(l).
6
Let o(b) = -b**3 - 68*b**2 + b + 54. Let h be o(-68). Let v(a) = a**2 + 11*a - 8. Calculate v(h).
34
Suppose -18*n + 8*n - 26 = -96. Let u(m) = -m**3 + 6*m**2 + 5*m + 16. Determine u(n).
2
Let f(q) be the second derivative of -q**5/20 - q**4/12 + 5*q**3/6 + 2*q**2 - 190*q. Let z = 209 - 212. Give f(z).
7
Let o = 8037 + -8056. Let m(d) = -d**3 - 15*d**2 + 75*d - 32. What is m(o)?
-13
Let f(v) = -v**3 + 5*v**2 + 6*v - 5. Let p(a) = -2*a + 65. Let j be p(30). Calculate f(j).
25
Let d(v) = 9*v - 28. Let i be -1*(-2 + -7 - -3). Let y(r) = 3*r + 925 - 940 + 2*r. Let p(b) = i*d(b) - 11*y(b). Give p(-10).
7
Let z(s) be the second derivative of s**4/12 - 25*s**3/6 - 193*s**2/2 - 34*s - 4. Determine z(31).
-7
Let r(g) = 2*g + 34. Let n be r(-17). Let z = n + -2. Let w be (z + 5)*((-28)/12 - -2). Let b(v) = -5*v - 1. Determine b(w).
4
Let o(d) = 19*d**2 - 10*d + 37. Let i(z) = 2. Let n(m) = -12*m**2 + 7*m - 26. Let k(q) = i(q) + n(q). Let l(w) = -8*k(w) - 5*o(w). Determine l(6).
7
Let o(w) be the third derivative of w**6/60 + w**5/3 - w**4/8 - 19*w**3/6 + 34*w**2 - 16. What is o(-10)?
11
Let y(f) be the second derivative of f**2/2 + 3*f. Let l(d) = 2*d + 7. Let s(p) = -l(p) + 5*y(p). Let x be ((-8)/14)/(38/266). Determine s(x).
6
Let w be -21*(-42)/63 + -6. Let d(g) = 3*g**2 - 22*g - 5. Calculate d(w).
11
Let c be (-4)/28*6*-21. Let r(n) = -1755*n**2 + 8*n + 3*n**3 + n**3 - 3*n**3 + 1736*n**2 + 10*n - 10. Give r(c).
-10
Let b(j) = -j**3 + 12*j**2 + 2*j - 18. Let u be b(12). Suppose -f = -u*f + 145. Let n = 35 - f. Let y(x) = x**3 - 6*x**2 - 5. Calculate y(n).
-5
Let b(a) be the third derivative of a**6/15 - a**5/30 - a**4/12 + a**3/2 - 337*a**2 + 3. What is b(1)?
7
Let j(k) = k**3 - 29*k**2 + k - 31. Let y be j(29). Let t(s) = 5*s - 61. Let x(o) = o - 15. Let m(b) = y*t(b) + 9*x(b). What is m(-7)?
-6
Let y(o) = -9*o**2 + o**2 + 7*o**2 + 6 - 8 + 14*o. What is y(11)?
31
Suppose -281*t - 8113 = -117*t + 263*t. Let m(r) = 2*r + 39. What is m(t)?
1
Let x be 4/(-68) + 252/(-51) + 3. Let o(u) be the second derivative of 5*u**3/3 + u**2 + 7*u. What is o(x)?
-18
Let q(l) be the second derivative of -5/6*l**3 + l + 1/3*l**4 - l**2 + 1/20*l**5 + 4. Determine q(-5).
-2
Let s(z) = 106*z + 114. Let i(l) = -84*l - 113. Let t(n) = 5*i(n) + 4*s(n). Calculate t(27).
-1
Let r(h) = h**3 - 14*h**2 + 16*h - 7. Let g be (-8 - 716)*3/(-4). Let p = -530 + g. What is r(p)?
32
Let a(q) = -5*q + 6. Let c(x) = x - 1. Let k(m) = 5*a(m) + 20*c(m). Give k(2).
0
Let y(d) be the second derivative of d**5/20 - 2*d**4/3 + 5*d**3/3 - 7*d**2 + 6870*d. Give y(6).
-26
Let f(x) = 20*x**2 + 14 - 3*x**3 + 0*x**3 + 86*x + 4*x**3 - 200*x + 93*x. What is f(-21)?
14
Let p(n) be the second derivative of 2*n**3/3 - 9*n**2/2 - 2*n. Let v be 3 + (-2)/6*0. Let c be p(v). Let z(r) = -r - 3. Calculate z(c).
-6
Let y(d) = 3*d**3 + 7*d**2 + 2*d - 28. Let p(l) = -4*l**3 - 11*l**2 - 4*l + 41. Let h(b) = -5*p(b) - 7*y(b). What is h(7)?
-16
Let p(w) = 5*w**2 - 55*w + 20. Let c = -45 - -48. Let u(z) = 2*z**2 - 19*z + 7. Let a(r) = c*p(r) - 8*u(r). Determine a(-12).
16
Let h(n) = -n**3 + 20*n**2 + 20*n - 13. Let s = 166 + -145. Give h(s).
-34
Let q be -1 + 116 + (-29 - -28). Let m(h) = -6*h - q*h**2 - 17 - 4*h + 113*h**2 + 2*h. Calculate m(-6).
-5
Let x be (-1)/(-1) - 3*(21 + -3). Let j = x + 53. Let a(g) = j - g + 2 + 6 - 6. Give a(4).
-2
Let d(j) = 6*j + 215. Let l = -5239 - -5204. What is d(l)?
5
Let z(n) = -n**2 + 113*n + 9464. Let q be z(169). Let v(d) = -d + 2 - 8 - 26. Give v(q).
-32
Suppose 4*r - 24 = 0, 4*r - 38 = j - 6. Let n(w) = -6*w - 27. Give n(j).
21
Suppose 0 = -r, r = -7*a + 4*a + 54. Let v be ((-9)/(-3))/a + 52/(-24). Let p(y) = 3 + 4*y + 2 - 3. Calculate p(
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{
"pile_set_name": "DM Mathematics"
}
|
r, 9588 = 4*x - 4*r. Let y = x - 1652. List the prime factors of y.
3, 83
Let n(k) be the third derivative of k**6/20 + k**5/30 + k**4/8 - 11*k**3/2 + 2*k**2 - 5. List the prime factors of n(5).
2, 17, 23
Suppose -m = 4*l - 2299, 0 = 2*m - 3*l - 0*l - 4653. What are the prime factors of 40/120*(m - 0)?
773
Let k = -58 - -39. Let z be ((-4)/6)/(k/(-1995)). List the prime factors of (-6 - z) + 0/(-2).
2
Suppose -212356 + 41692 = -13*l. List the prime factors of l.
2, 3, 547
Let d(w) = 1115*w + 199. List the prime factors of d(1).
2, 3, 73
Let q = -116 + 113. What are the prime factors of 5/(303/(-102) - q)?
2, 5, 17
Suppose -5*a - 4*u + 261082 = 0, 4*a = u + 67775 + 141057. List the prime factors of a.
2, 5, 23, 227
Let z = -2168 - -3996. Let x = -622 + z. List the prime factors of x.
2, 3, 67
Let m = 5420 + -5024. List the prime factors of m.
2, 3, 11
List the prime factors of ((-58322)/(-55))/(12/360).
2, 3, 11, 241
Suppose 11*v + 4*n = 10*v + 405, -864 = -2*v + n. List the prime factors of v.
3, 11, 13
Let r = 474 - -159. Let u = 1116 - r. List the prime factors of u.
3, 7, 23
Suppose -6*u + 3*u = 18. List the prime factors of (7 - (-63)/u)/((-1)/2).
7
Let p = 218 - 216. List the prime factors of 459 + ((-7)/(-14))/((-1)/p).
2, 229
Let a be (-3)/2 + (-11)/(-2) + 20. Suppose a*o = 18*o + 222. What are the prime factors of o?
37
Let m(g) = 30*g + 4. Let n = 372 - 367. What are the prime factors of m(n)?
2, 7, 11
Let v = 16 + -13. Suppose v*c - 9*c + 5904 = 0. What are the prime factors of (c/20)/((-7)/(-5) + -1)?
3, 41
What are the prime factors of (-3 - 396/(-33)) + 28720/1?
28729
Suppose -7*i + 3*i + 15 = w, -3*i - 2*w = -10. Suppose -3*x + u + 4*u = 43, 0 = x - i*u + 26. Let p = x + 133. List the prime factors of p.
127
Let c(n) = 185*n**2 - 124*n - 697. What are the prime factors of c(-6)?
19, 353
Suppose -8*z + 6*z + 88 = 0. Let r = z + 8. What are the prime factors of (r/14)/(16/224)?
2, 13
Suppose -4*d = 2*j - 12, -3*d + 2 = -j - 12. Let r be ((-13)/26 - (-363)/2) + d. Suppose -2*v + r = -179. What are the prime factors of v?
2, 7, 13
Let d be 36541/11 - (-71)/781. Suppose -16*c + 14342 = -d. What are the prime factors of c?
2, 3, 23
Let y = 6515 - 703. Suppose 2*u + 2*l = 2904, 0*u - 2*l = 4*u - y. What are the prime factors of u?
2, 727
Let c(x) = 530*x**2 - 5*x + 1. Let f be c(2). Suppose 4*d = n - 0*d - 554, -4*n - 5*d = -f. What are the prime factors of ((-4)/(-6))/(4/n)?
89
Let m = -25 + 27. Let a = 44 - m. Suppose 11 = l - a. List the prime factors of l.
53
Suppose b - 5*y = 10, 6*b - 5*y = b + 30. Suppose -4*s + 7*s + b*x = 1996, -2*x = s - 665. List the prime factors of s.
23, 29
Suppose -2*w + 18 = 3*i, 4*i - 33 = -4*w - 5. Suppose -4*g - d - d + 2450 = 0, -g - i*d = -602. List the prime factors of g.
2, 307
Let i be 305 - ((-10)/(-65) - (-150)/39). Suppose 5*b + 4*h - i = 0, -h = -4*b - 6*h + 239. What are the prime factors of b?
61
Let c be (-6)/(-4*2/16). Let a(g) = -g**2 + 27*g + 23. List the prime factors of a(c).
7, 29
Let s = -3 - -8. Let g(b) = 7*b**2 + 14*b - 64. List the prime factors of g(s).
181
Suppose -3 = 3*q - 2*a, -q - 4 = 3*q + 2*a. Let k = 3 - q. Suppose 4*n - 3*n = k, 2*v + 5*n - 192 = 0. What are the prime factors of v?
2, 43
Let r(u) = -u**3 - 2*u**2 + 6*u + 8. Let i be r(-4). Suppose 5*o + i - 121 = 0. Let k = -1 + o. What are the prime factors of k?
2, 5
Let t = -21 + 52. Suppose -25*v = -t*v + 1950. List the prime factors of v.
5, 13
List the prime factors of 23723 + (-3 - (-15 - -18)).
37, 641
Suppose 2*v - 3*q - 17391 = 0, 72*v - 5*q = 69*v + 26084. What are the prime factors of v?
3, 967
Let f(r) = -841*r + 1019. List the prime factors of f(-10).
3, 7, 449
Suppose -h - 4*b = 4742, 2*b - 5554 = h - 818. What are the prime factors of (h/(-115))/(2/5)?
103
Suppose -2*a = -t - 0*a + 792, -4*a = t - 780. Suppose -2*k - q + 621 = 0, q - t = -4*k + 457. Suppose 0 = -2*p + 5*p - k. List the prime factors of p.
2, 13
Suppose -5*h - 5*a = -5, 2*h + 5*a - 18 = -19. Suppose -h*l + 7 + 3 = 0. List the prime factors of l.
5
Let u(v) = 203*v + 1 + 0 + 164*v. Let o be u(1). Let k = o - 262. List the prime factors of k.
2, 53
Let k(j) be the second derivative of 23*j**3/3 - 5*j**2/2 - 25*j. Suppose 4*u - 5*w = 28, 6*w = 4*u + 3*w - 20. List the prime factors of k(u).
3, 29
Let t be -2*(-101)/(-8)*20. What are the prime factors of -9 - -6 - (t - 0/(-3))?
2, 251
Let n = 850 - -4952. List the prime factors of n.
2, 3, 967
Let c be (-2 - -21)*1/((-8)/(-1104)). Suppose t - c = -2*t. What are the prime factors of t?
2, 19, 23
Suppose -71699 = -4*k - 3*r, 36*k = 39*k - r - 53758. List the prime factors of k.
17921
List the prime factors of (-28)/6 - 758381/(-39).
19441
Let l(i) = 10*i**2 + i + 6. Let p(n) = 2*n**2 - 2. Let m(a) = l(a) - 2*p(a). List the prime factors of m(-11).
5, 29
Let r(d) = -2228*d - 9116. What are the prime factors of r(-5)?
2, 11, 23
Suppose 3*b + 4*r - 34488 = 0, 22*r = -b + 17*r + 11474. What are the prime factors of b?
2, 719
Suppose -11*s = -12*s + u - 213, -852 = 4*s - 3*u. Suppose -531 - 453 = -3*k. Let t = k + s. What are the prime factors of t?
5, 23
Let t be (-36)/(-16)*3*8/9. Suppose 12*h - t*h = -12. List the prime factors of ((-197)/(-2))/(h/(-4)).
197
Let l = -58 - -60. Let t be l/(-2)*10/2. List the prime factors of (-248)/(-4)*((-10)/4)/t.
31
List the prime factors of 9222/5 - ((-376)/(-40) + -10).
3, 5, 41
Let l = -8501 - -10761. What are the prime factors of l?
2, 5, 113
Let k be (4 - 6)/(-1 + 39/36). Let r = -22 - k. Let l = r + 106. What are the prime factors of l?
2, 3
Suppose -100 = -42*d + 22*d. Suppose d*y = -5*n + 3585, -4*n - 4*y = -3*y - 2862. List the prime factors of n.
5, 11, 13
What are the prime factors of (109 + 15)*(-5 - (-790 + -9))?
2, 31, 397
Let i be (-1)/(((-21)/(-70))/((-12)/8)). List the prime factors of 1819/3 + i + 104/(-24).
607
Suppose -160*i + 157*i + 27 = 0. List the prime factors of 3*i/(-15)*(-30)/1.
2, 3
Let r(b) = -7*b**2 + 29*b - 8. Let w be r(4). What are the prime factors of (-582)/w - 1/(-2)?
2, 73
Suppose -q = 5*a - 2*a - 11937, -3*a - 5*q = -11925. List the prime factors of a.
2, 5, 199
Let q(l) = l**3 + 45*l**2 + 51*l - 403. What are the prime factors of q(31)?
2, 3, 7, 19, 31
Suppose -22*r + 77 = -11*r. Suppose 1548 = -r*v + 43*v. List the prime factors of v.
43
Let y(q) = 5*q**2 - 3 - 1 - 6 - 3*q**2 - 32*q + 5*q. List the prime factors of y(18).
2, 19
Suppose -37*l - 12496 = -104663. List the prime factors of l.
47, 53
Suppose z + 73146 + 133210 = 4*r, 5*r - 257948 = 2*z. What are the prime factors of r?
2, 3, 1433
Let t = 452 - 50. Let m = t - -15. List the prime factors of m.
3, 139
Suppose 6*b - 538 = 3*b - 2*g, 3*b - 524 = 5*g. Suppose -b*m + 182*m - 2084 = 0. List the prime factors of m.
521
What are the prime factors of (10 - 5) + -11 - -8472?
2, 3, 17, 83
Let c = -58 + 61. Suppose u - 84 = c*d, 2*u + d - 2*d = 178. Let h = u - -51. What are the prime factors of h?
3, 47
Suppose -3*y - 141984 = -4*x, 68601 = 2*x - 4*y - 2411. List the prime factors of x.
2, 3, 5, 7, 13
Suppose -4*t + 129 = 3*a + 372, -5*t = -3*a - 216. Let v = a + 14. Let c = 146 + v. List the prime factors of c.
83
Let h(s) = 219*s + 13. Let d(p) = -p**3 - 14*p**2 + 15*p + 3. Let x be d(-15). What are the prime factors of h(x)?
2, 5, 67
Suppose 195 = -2*t + 63. Let i = t + 66. Suppose i = -u - 3*u + 80. List the prime factors of u.
2, 5
Let i = -17 + 105. Let x = i + 146. List the prime factors of x.
2, 3, 13
List the prime factors of ((-242320)/(-64))/(0 - (-10)/120).
3, 5, 13, 233
Suppose -13 = -15*j + 32. Suppose -s - 108 = -3*o + 62, o - 60 = -j*s. What are the prime factors of o?
3, 19
Let m = 5363 - 3807. Suppose 3*d = 3*g - 2322, 0 = 2*g - 0*d + 2*d - m. What are the prime factors of g?
2, 97
Let g = 9070 - 6441. What are the prime factors of g?
11, 239
Let j = 66 - 61. Suppose 0 = 3*b + 4*l - 782, j*b + 6*l - 1318 = 3*l. Let y = b + -150. List the prime factors of y.
2, 29
Suppose 45780 - 69118 = -8*u + 91742. What are the prime factors of u?
3, 5, 7, 137
Let a be ((-80)/(-30))/(2/6). Suppose a - 6 = k. Suppose 5*h = 4*d - 268, d - h + k*h = 67. List the prime factors of d.
67
Let o = -263 - -257. What are the prime factors of o/(9/(18/4))*-28?
2, 3, 7
Let
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{
"pile_set_name": "DM Mathematics"
}
|
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