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Simplify ((s/(s**(-2/5)/s))**(2/67)/((s**5/s)/(s**2/s)))/((s**(-3)*s*s*s)**(-2/61))**(3/20) assuming s is positive.
s**(-981/335)
Simplify (t/(t**(1/36)/t)*t)/t**24*(t*t**(-12/13))/t**(-10) assuming t is positive.
t**(-5125/468)
Simplify (((f*f/(f/f**(-2/11)))**(-39)*((f*f*f**2)/f)**(-1/12))**(-45))**(-7/5) assuming f is positive.
f**(-89145/44)
Simplify ((l**(1/4))**(-41)/(l**(1/39)*l**(-1/5)))**15 assuming l is positive.
l**(-7859/52)
Simplify ((q**(-3/8)/q**(-7/3))/(((((q*q**(-2/7))/q)/q)/q)/q)**(-3/37))/(q**7/(q*q/((q/q**6)/q)*q))**(-6) assuming q is positive.
q**(-64075/6216)
Simplify (((w*w**(-2/37))**42)**(-5))**(-2/55) assuming w is positive.
w**(2940/407)
Simplify ((q**(-4/11))**(10/3)/(q/(q/q**(-2/35))*q**(-17)))**(-33) assuming q is positive.
q**(-18301/35)
Simplify ((q**(-2/21)/q*q/((q*q*q*q**(4/15)*q)/q))/(q*q**(-1/3)*q*q*(q**(-1/9)/q)/q))**(2/23) assuming q is positive.
q**(-2468/7245)
Simplify ((p**0)**(2/25)/((p/p**(2/19))/p*p*((p/((p*p**(-1))/p))/p)/p))/(((p*p**4*p)/(p**(-2/7)*p*p))/(p/(p*p*p/p**0))**(-18)) assuming p is positive.
p**(4099/133)
Simplify (j**(-1))**29*j**(-2/5)*j**3*j*(j**(-1))**11/(j**(3/2)*j**(-3/2)) assuming j is positive.
j**(-182/5)
Simplify ((s/((s**(-4)*s*s)/s*s)*s)/(s/(s**(3/7)*s)))**(-12/11)/((s**8/((s**3*s)/s))/(s**(2/5)/s**(-6))) assuming s is positive.
s**(-1321/385)
Simplify ((y*y/(y/y**8))**16/(y*(y/y**(2/23))/y)**(-1/5))**(-40) assuming y is positive.
y**(-132648/23)
Simplify ((x/x**(1/3))**(-26))**(-24)*((x**(2/3))**3)**33 assuming x is positive.
x**482
Simplify ((h/((h*h/h**(-1))/h))/h)**16*(h**1)**(2/3)*((h**(-2/5)*h)/((h/(h/h**6)*h)/h))**(-2/15) assuming h is positive.
h**(-2296/75)
Simplify (d**2)**42*(d**(-3/4)/d)/(d/d**(-1/12))*(d**(-2)/(d/d**(2/3)))/((d*d**4)/d*(d*d**(-1/4))/d) assuming d is positive.
d**(901/12)
Simplify (l**(-5)/(l/l**3*l*l*l)*l/(l/(l**(2/7)*l))*l**(-17))**(8/17) assuming l is positive.
l**(-1216/119)
Simplify ((p**17*p)**(6/5)*p**(-14)*p**26)**(-6/5) assuming p is positive.
p**(-1008/25)
Simplify (((m*m/m**(-1/23))/m)/((m*m**(-4))/m)*(m*m/m**11)/(m*(m**(-13)*m)/m))**(-2/21) assuming m is positive.
m**(-370/483)
Simplify (c/(c**(2/3)/c)*c**(-2))/(c**(-1/8)*c*c**(1/4)/c)*((c*c/c**(2/7))**(-45))**45 assuming c is positive.
c**(-583333/168)
Simplify g/(g*g**6)*g*(g*g*g/(g/((g/(g**(-2)*g*g*g))/g*g))*g)/g*(g*g/g**(-2)*g)**(-23)*((g/g**(-6/11))/g**(-2/7))/(g**(2/15)/g**(2/11)) assuming g is positive.
g**(-134119/1155)
Simplify ((k**(-5/4)*k)/k**(-2))**(3/46)/(k**0*k/k**(-2/7))**(-8) assuming k is positive.
k**(13395/1288)
Simplify ((r**(1/4)/(r*r*r**(-2/11))*(r**(-2/7)*r)/r*r**(-2/7))**0)**(26/7) assuming r is positive.
1
Simplify ((n/n**(-2/3))**(-2/99))**(-5/3)*(n/n**0)**(-10)/(((n*n*n*n**5*n)/n)/n**(-1/5)) assuming n is positive.
n**(-80831/4455)
Simplify ((((f/(f*(f*f**0/f*f)/f))/f**(-2/7))**(-15))**(-1/12))**7 assuming f is positive.
f**(5/2)
Simplify (((r/r**(2/5))/r*r*r**0)/((r*r/(r*r**(-5))*r*r)/((r/(r**(2/15)/r))/r)))/((r*r**(-2))**(-11/7))**(-32) assuming r is positive.
r**(4594/105)
Simplify s*s*s**(-5/14)*s*s*((s*s**(-1)/s)/s)/s*(s/s**20)/s**(1/2) assuming s is positive.
s**(-132/7)
Simplify (((g*g**(-37)*g)/g*g*g**(-34))**(-4/5))**(-18) assuming g is positive.
g**(-4968/5)
Simplify (((g**(1/3)*g**(-7)/g)/(g/g**(2/3)*g*g/g**7*g*g))**(-3))**(-36) assuming g is positive.
g**(-540)
Simplify (w**1*w/(w**(-5)/w)*w*w)/(w*w**1*w)**(-2/15)*((w**(2/9)*w)/w**(-2/5))/((w/(w*w/(w*w**2))*w)/(w*w/(w*w**6))) assuming w is positive.
w**(181/45)
Simplify (m/m**(-33)*m*m**34*m)/((m*m**(-2/33)*m)/m)**49 assuming m is positive.
m**(791/33)
Simplify (b**(-8/5)/b*b/(b*b**33/b*b))/(b/(b*b/(b*b**(-13/3)/b*b))*b*b**36) assuming b is positive.
b**(-1024/15)
Simplify (n**11*n/(n/(n**(-18)/n))*(((n**14*n)/n)/n)/(n/(n*n/(n/(n**(-27)/n*n)))))**(2/33) assuming n is positive.
n**(-4/3)
Simplify ((x**(-2/5))**(-10/7)*(x/x**(-9/5))**(-2/7))**46 assuming x is positive.
x**(-368/35)
Simplify (s*s**(-5/13)*s)**26*(s**6*s)**(-2) assuming s is positive.
s**28
Simplify ((x/x**1)/x)**(-49)*(x**1)**(10/3)*(x/(x**(4/9)*x)*x)/x*x*x*x*x**(-1)*(x*x*x**(2/5)*x*x)**21 assuming x is positive.
x**(6583/45)
Simplify (c**42)**(6/13)*(c/c**(-6))**(-16) assuming c is positive.
c**(-1204/13)
Simplify ((n**(-1))**39)**(1/73)*(n*n**6*n**0)/((n*(n**(3/5)*n)/n)/(n/(n*n**(1/6)/n*n))) assuming n is positive.
n**(10291/2190)
Simplify ((m**2*m)**(-5/6))**(-2/19)/((m**(-1)/m*m*((m*m**5)/m)/m)/(m**(-2)/(m*m**(-2)*m))) assuming m is positive.
m**(-90/19)
Simplify (q**22)**(1/69)/(q**(-40)/(q/(q/q**5))) assuming q is positive.
q**(3127/69)
Simplify ((g/g**(-1/6))/(g**12*g)*((g**(1/6)*g)/g*g)/g**(-1))**(-34) assuming g is positive.
g**(986/3)
Simplify ((k*k**(-2/7)*k)**(1/18))**(1/19)/(k/(k*(k*k**(2/9))/k)*k/(k/(k/k**2)))**9 assuming k is positive.
k**(4391/399)
Simplify x**1*x/(x*(x/x**(-1/30))/x)*(x*x*x**(20/11))**(-4/23) assuming x is positive.
x**(2297/7590)
Simplify ((z**(3/5)*z/(z/z**(2/31)*z))/((z/((z*z**(3/2))/z))/z**(1/34)))**(-2/5) assuming z is positive.
z**(-1022/13175)
Simplify d*d**(-35)*d/(d**8/d*d)*d**(-1/33)/(d*d/(d*d**23/d)) assuming d is positive.
d**(-661/33)
Simplify (n**(2/11)*n)/((n*n**(7/2))/n)*(n/n**(-5))/(n*n**(-1))*n**(2/3)/(n/n**(1/2))*(n/(n**3/n)*n)/((n*n**(2/17))/n) assuming n is positive.
n**(2093/561)
Simplify (b**(-2/17)/b*b/(b*b*b/(b**(-9)/b))*b**(3/7)/(b*b*b**(3/4)))/((b**4*b**(-2/9)/b)/(b/(((b/b**2)/b)/b))**44) assuming b is positive.
b**(675943/4284)
Simplify ((b**(1/2)*b)/b**(1/2))**(-27)*((b*b**(-1/3))/(b*b**(-6)))/(b**(1/2)/b)**(2/63) assuming b is positive.
b**(-1343/63)
Simplify ((g**(2/9)/g*g*(g*g/(g*g**6))/g)/((g**(-2/7)*g)/g)**33)/(g**(-2/7)*g*(g*(g/g**(-2/9))/g)/g*g)**(-33) assuming g is positive.
g**(608/9)
Simplify (q*q*q**2*q*q)**(-5)/(q**(-1/3)*q**8/q)*(q**7*q/(q*q**6))/(q**(1/11)*q/(q**5/q)) assuming q is positive.
q**(-1081/33)
Simplify (p**(-1)/p**(-5))**42/(p*p**(-2/9)*p**(-2/3))**(-2/71) assuming p is positive.
p**(107354/639)
Simplify (((r/r**(-1/4))**31/(r**(-1/2)/(((r/(r**(-7/4)*r))/r*r)/r)))**(42/11))**(2/7) assuming r is positive.
r**(480/11)
Simplify ((a*a*((a*a**13)/a)/a*a)/(a*a*a/a**5*a))/((a*a/((a*a**(1/5)*a)/a))/a)**(-2/5) assuming a is positive.
a**(398/25)
Simplify (z**(1/7)/z)/(z**1/z)*z**6/(z*z**(6/7))*((z/(z*(z*z**(3/11)*z)/z*z*z))/(z/(z**(-3/8)*z)))/((z*z**(-2/15))/(z**9*z)) assuming z is positive.
z**(81047/9240)
Simplify (k**(-6)*k*k**(-3/5)*k**(-8)*k**(2/9)/k)/(k**2*k**7/k*(k*k**(-2/5))**(-14)) assuming k is positive.
k**(-629/45)
Simplify ((y**(6/7)*y**(2/31))/(y**(-2/13)*y*y**(3/17)*y))**46 assuming y is positive.
y**(-2428754/47957)
Simplify (l**(-1/7)*l*l*l**16*l**16/l**(-24))**14 assuming l is positive.
l**810
Simplify ((d**1)**(3/13))**(-2/3)/((d/(d**1*d)*d)**46)**(-1/11) assuming d is positive.
d**(-2/13)
Simplify c**7*c*c/c**2*c*(c**0)**(-44)*((c*c*(c*(c*c**(-7)*c*c)/c)/c*c*c)/((c/(c/c**(-3/10))*c)/c))/(c/(c/(c**0*c))*c)**(-17/4) assuming c is positive.
c**(79/5)
Simplify (m**7/m*m**1)**(1/4)/(m/(m/(m/(m*m**(-6)*m)))*m**6*(m**0*m)**(-5/14)) assuming m is positive.
m**(-249/28)
Simplify (t**0*t)**(-42)*(t**(-2))**27*((t**0*t)**43)**0 assuming t is positive.
t**(-96)
Simplify u**(-26)/u**17*(u**(-4/15))**(-1/11) assuming u is positive.
u**(-7091/165)
Simplify (u*u**(-1))**(28/5)/(u/(u**(-2/5)/u))**(-2/5)*(u*u/(((u*u**0)/u)/u)*u)**48*u**(-2/5)/(u*u*u**(2/19)*u) assuming u is positive.
u**(89991/475)
Simplify (p**(-3/11))**(1/43)*p/(p/(p**3*p))*p/(p/(p*p*(p**(-3/11)/p)/p))*p*p assuming p is positive.
p**(246/43)
Simplify ((q**(-2/17)*q)**(-2)*q**(4/5)/q*q/q**10)**(-2/51) assuming q is positive.
q**(1864/4335)
Simplify ((((n**(6/5)*n)/(n/(n/((n**(2/3)/n)/n*n))))/(n**(-6)*n*n/(n/(n/(n*n/((n**7*n)/n)*n)))*n*n))**47)**(-11) assuming n is positive.
n**(-4136/15)
Simplify (w**6/w*w*w/(w*w**7)*(w**(-2))**(1/13))/((w/w**0*w)**(-20/11)*(w**(-2))**22) assuming w is positive.
w**(6647/143)
Simplify ((x/(x*x*x/(x/x**(-2/9)))*x*x*x/x**(-11))/(((x*x**26/x)/x)/x*x*x**(2/31)))**(-1/10) assuming x is positive.
x**(1652/1395)
Simplify ((s**(2/11)*s)/s)/(s**(2/13)/s)*(s**(-2/7)*s)/((s**6/s)/s)*((s**(-1/4))**5)**(2/15) assuming s is positive.
s**(-14561/6006)
Simplify n**(-5)*n**(-1)*n**4*(n*n/(n/(n/(n**(-3)*n))))/n*n*(n**(1/2)/n**(1/4))/(((n*(n*((n/n**(2/9))/n*n)/n)/
|
{
"pile_set_name": "DM Mathematics"
}
|
-30, -10/7, 1
Factor 18*c**3 - 1894506*c**2/5 + 1993986510*c - 132930750.
6*(c - 10525)**2*(15*c - 1)/5
Let 45*k**2/4 - 2841*k/4 + 471/2 = 0. What is k?
1/3, 314/5
Suppose 3*l**3 - 3720*l**2 + 889377*l + 893100 = 0. What is l?
-1, 325, 916
Let o**5/7 + 88*o**4/7 + 1490*o**3/7 + 5456*o**2/7 - 1005*o = 0. Calculate o.
-67, -15, -7, 0, 1
Find r such that r**4 + 144*r**3 - 900*r**2 = 0.
-150, 0, 6
Let 4*f**5/3 - 8*f**4/3 - 248*f**3/3 - 96*f**2 + 636*f + 1080 = 0. What is f?
-5, -3, -2, 3, 9
Factor 8*a**3/9 + 16766*a**2/9 + 8765444*a/9 - 2200802.
2*(a + 1049)**2*(4*a - 9)/9
Factor -21*i**2 - 4698*i + 1344.
-3*(i + 224)*(7*i - 2)
Determine c, given that 2*c**3/5 + 56*c**2/5 - 342*c/5 - 396/5 = 0.
-33, -1, 6
Factor -2*f**2 + 976*f + 978.
-2*(f - 489)*(f + 1)
Suppose 13778*w**5/9 - 78020*w**4/9 + 96506*w**3/9 - 15632*w**2/9 - 15064*w/9 - 1568/9 = 0. What is w?
-14/83, 1, 4
Factor m**2/9 - 45328*m/9 - 30220/3.
(m - 45330)*(m + 2)/9
Factor 3*x**5 + 270*x**4 + 8019*x**3 + 87480*x**2 + 314928*x.
3*x*(x + 9)**2*(x + 36)**2
Factor 5*c**2 - 2885*c + 19950.
5*(c - 570)*(c - 7)
What is r in -4*r**5 + 1220*r**4 + 27228*r**3 + 50780*r**2 + 24776*r = 0?
-19, -1, 0, 326
Solve 2*d**2/13 + 40188*d/13 - 12368 = 0 for d.
-20098, 4
Solve p**2 - 22246*p + 123721129 = 0 for p.
11123
What is a in -2*a**4/11 + 860*a**3/11 - 4178*a**2/11 - 30960*a/11 + 153000/11 = 0?
-6, 5, 6, 425
Factor 16*j**3 - 11555*j**2 + 2087302*j - 390963.
(j - 361)**2*(16*j - 3)
Suppose 2*m**4/7 - 3734*m**3/7 + 3732*m**2/7 = 0. What is m?
0, 1, 1866
Factor -u**3/3 + 1118*u**2/3 - 5569*u/3 + 1484.
-(u - 1113)*(u - 4)*(u - 1)/3
Factor -4*k**3 - 28984*k**2 + 86988*k.
-4*k*(k - 3)*(k + 7249)
Suppose -4*s**5 + 4760*s**4 - 28420*s**3 + 4640*s**2 + 113600*s + 75776 = 0. What is s?
-1, 4, 1184
Factor -o**2/3 + 1514*o - 18152/3.
-(o - 4538)*(o - 4)/3
Factor -j**5 + 283*j**4 + 43560*j**3 + 1870400*j**2 + 25792000*j.
-j*(j - 403)*(j + 40)**3
Let -3*c**2 + 8409*c - 33588 = 0. What is c?
4, 2799
Let -21*t**4/5 + 246*t**3/5 + 387*t**2/5 - 456*t/5 - 156/5 = 0. What is t?
-2, -2/7, 1, 13
Factor f**2/5 - 542*f - 19019/5.
(f - 2717)*(f + 7)/5
Find b such that 242*b**5/5 - 10274*b**4/5 + 15254*b**3 - 23134*b**2/5 - 71904*b/5 + 38016/5 = 0.
-1, 8/11, 9, 33
Factor -443818489*t**2/5 + 84268*t/5 - 4/5.
-(21067*t - 2)**2/5
Factor s**2/2 - 14473*s/2 + 79541.
(s - 14462)*(s - 11)/2
Factor 2*a**2/7 + 1720*a - 24088/7.
2*(a - 2)*(a + 6022)/7
Factor j**3/5 - 482*j**2/5 + 961*j/5 - 96.
(j - 480)*(j - 1)**2/5
Suppose u**3/8 - 6870*u**2 + 755534973*u/8 - 5283360103/4 = 0. What is u?
14, 27473
Suppose 6*j**5/5 - 82*j**4/5 + 50*j**3 + 66*j**2 - 896*j/5 + 392/5 = 0. Calculate j.
-2, 2/3, 1, 7
Determine p, given that -3675*p**4 - 1214010*p**3 - 100467783*p**2 - 34339140*p - 2940300 = 0.
-165, -6/35
Factor -o**3 - 149*o**2 + 1414*o - 1264.
-(o - 8)*(o - 1)*(o + 158)
Factor 3*i**2 - 9114*i - 91440.
3*(i - 3048)*(i + 10)
Factor -2*h**3 - 4568*h**2 + 13758*h + 82332.
-2*(h - 6)*(h + 3)*(h + 2287)
What is p in -2*p**4/7 - 493*p**3/7 - 736*p**2/7 - 35*p = 0?
-245, -1, -1/2, 0
Factor 5*i**3 + 72105*i**2 + 259848360*i - 780194160.
5*(i - 3)*(i + 7212)**2
Find m such that 5*m**2/2 - 16070*m = 0.
0, 6428
Let b**4/9 - 63*b**3 + 2813*b**2/9 - 559*b/3 - 562 = 0. What is b?
-1, 3, 562
Factor -106*c**3/11 - 5944*c**2/11 - 83552*c/11 - 6272/11.
-2*(c + 28)**2*(53*c + 4)/11
Factor 4*c**2 + 108664*c + 217312.
4*(c + 2)*(c + 27164)
Find l, given that l**5 + 59*l**4 + 727*l**3 + 1677*l**2 = 0.
-43, -13, -3, 0
Factor -2*z**2/9 - 54856*z/9 - 54854/9.
-2*(z + 1)*(z + 27427)/9
Let -2*w**3/7 + 1590*w**2 + 11136*w/7 - 22264/7 = 0. Calculate w.
-2, 1, 5566
Find y such that y**5/6 - 11*y**4/6 - 2633*y**3/6 + 3569*y**2/2 + 299640*y + 871200 = 0.
-33, -3, 40
Factor -4*f**2 - 8652*f - 94688.
-4*(f + 11)*(f + 2152)
Factor -2*x**4 + 228*x**3 - 3862*x**2 - 4092*x.
-2*x*(x - 93)*(x - 22)*(x + 1)
Let -h**4/5 - 19*h**3/5 - 69*h**2/5 + 171*h/5 + 702/5 = 0. What is h?
-13, -6, -3, 3
Determine s so that -s**5/2 + 23*s**4/10 + 53*s**3/10 - 359*s**2/10 + 216*s/5 - 72/5 = 0.
-4, 3/5, 1, 3, 4
Factor -v**3/4 + 741*v**2/4 - 6482*v - 21120.
-(v - 704)*(v - 40)*(v + 3)/4
Factor 24039409*o**2/5 + 19612*o/5 + 4/5.
(4903*o + 2)**2/5
Factor 2*w**2/11 - 550390*w/11 + 550388/11.
2*(w - 275194)*(w - 1)/11
Find y, given that -4*y**2 - 12311624*y - 9473505344836 = 0.
-1538953
Factor -2*b**2/13 + 296*b/13 + 192.
-2*(b - 156)*(b + 8)/13
Factor -m**3 + 388*m**2 - 1151*m - 1540.
-(m - 385)*(m - 4)*(m + 1)
Find s such that 2*s**4 - 2550*s**3 + 60166*s**2 - 147450*s - 210168 = 0.
-1, 4, 21, 1251
Solve g**3/2 + 5611*g**2/2 = 0.
-5611, 0
Find l, given that -6*l**5 + 2996*l**4 - 1109948*l**3/3 - 3011000*l**2/3 - 1636018*l/3 - 252004/3 = 0.
-2, -1/3, 251
Factor -2*w**3 - 532*w**2 - 1582*w - 1052.
-2*(w + 1)*(w + 2)*(w + 263)
Factor -6*k**2/5 - 13770*k + 620136/5.
-6*(k - 9)*(k + 11484)/5
Solve 5*i**2 - 114270*i = 0 for i.
0, 22854
Solve 3*x**2 - 13965*x = 0 for x.
0, 4655
Suppose 3*x**2 - 1773*x + 8790 = 0. What is x?
5, 586
Let -2*r**5 - 1696*r**4 - 25018*r**3 - 23324*r**2 = 0. What is r?
-833, -14, -1, 0
Determine r so that -r**2/3 - 694*r - 361227 = 0.
-1041
Factor 3*l**3 - 17865*l**2 + 53568*l.
3*l*(l - 5952)*(l - 3)
Determine a so that -9*a**5/5 - 726*a**4/5 - 6444*a**3/5 - 19182*a**2/5 - 15867*a/5 + 7668/5 = 0.
-71, -4, -3, 1/3
Factor 2*n**3 + 20*n**2 - 87338*n + 174580.
2*(n - 203)*(n - 2)*(n + 215)
Factor 4*c**2 + 24*c - 7020.
4*(c - 39)*(c + 45)
Determine k so that -3*k**2/2 + 12819*k/2 + 96480 = 0.
-15, 4288
Factor -2*y**2/5 - 2772*y/5 + 2774/5.
-2*(y - 1)*(y + 1387)/5
Suppose -k**2 + 609338*k - 92823199561 = 0. What is k?
304669
Factor 12*q**2 + 649876*q + 216624.
4*(q + 54156)*(3*q + 1)
Find c such that -5*c**4 + 20*c**3 + 3655*c**2 - 43350*c = 0.
-30, 0, 17
Suppose 14*n**2 - 24*n - 38 = 0. What is n?
-1, 19/7
Determine f, given that 2*f**5/5 + 76*f**4/5 + 378*f**3/5 - 224*f**2/5 - 200*f + 768/5 = 0.
-32, -6, -2, 1
What is n in -3*n**5 + 25857*n**4 + 51735*n**3 - 77577*n**2 - 103464*n + 103452 = 0?
-2, 1, 8621
What is t in 2*t**3/11 + 212*t**2/11 - 28702*t/11 - 3064560/11 = 0?
-113, 120
Factor -3*i**3/5 + 153*i**2/5 - 1176*i/5 + 1764/5.
-3*(i - 42)*(i - 7)*(i - 2)/5
Solve -4*f**3/5 - 52656*f**2/5 - 21060*f - 52648/5 = 0 for f.
-13162, -1
Suppose y**2 - 269*y - 2502 = 0. What is y?
-9, 278
Suppose 3*f**3/5 - 966*f**2/5 - 45849*f - 2132820 = 0. Calculate f.
-85, 492
Factor 432*h**5 + 53784*h**4 + 1335996*h**3 + 12315778*h**2 + 39022010*h.
2*h*(h + 95)*(6*h + 59)**3
Determine d so that -48*d**5 - 18792*d**4 + 28269*d**3 - 10608*d**2 + 1179*d = 0.
-393, 0, 1/4, 1
Factor 4*t**2 - 24956*t - 74904.
4*(t - 6242)*(t + 3)
Let -359*o**2/4 - 18667*o/4 + 13 = 0. What is o?
-52, 1/359
Solve -4*q**5 + 804*q**4 - 36440*q**3 - 417768*q**2 + 1074780*q + 1455300 = 0 for q.
-11, -1, 3, 105
Determine x so that 2*x**3/7 + 30*x**2/7 - 584*x - 12480/7 = 0.
-52, -3, 40
Factor -2*r**4 + 88*r**3 - 406*r**2 + 632*r - 312.
-2*(r - 39)*(r - 2)**2*(r - 1)
Factor -2*r**2 - 3872*r - 46176.
-2*(r + 12)*(r + 1924)
Factor -w**5 - 9*w**4 - 30*w**3 - 46*w**2 - 33*w - 9.
-(w + 1)**3*(w + 3)**2
What is b in 5*b**2 + 450*b + 9880 = 0?
-52, -38
Determine n, given that n**4 - 178*n**3 + 1211*n**2 - 2402*n + 1368 = 0.
1, 2, 4, 171
Solve 40*c**3 + 20444*c**2 + 2036*c - 4088 = 0.
-511, -1/2, 2/5
What is k in -2*k**2/11 + 348048*k/11 - 15142176288/11 = 0?
87012
Factor 3*w**2 - 7179*w + 57240.
3*(w - 2385)*(w - 8)
Suppose c**4 + 272957*c**3 - 818877*c**2 + 818879*c - 272960 = 0. What is c?
-272960, 1
Suppose q**2/7 - 34*q/7 - 5640/7 = 0. What is q?
-60, 94
Factor z**5 - 114*z**4 - 832*z**3 - 1806*z**2 - 1089*z.
z*(z - 121)*(z + 1)*(z + 3)**2
Let v**3 - 3608*v**2 + 3607*v = 0. Calculate v.
0, 1, 3607
Factor d**2/8 + 3859*d/8 + 16730.
(d + 35)*(d + 3824)/8
Determine i, given that -4*i**4 + 286740*i**3 - 5138309088*i**2 - 15417508032*i = 0.
-3, 0, 35844
Suppose -6*j**5 + 4978*j**4 - 13216*j**3 - 13296*j**2 + 52960*j - 26464 = 0. Calculate j.
-2, 2/3, 2, 827
What is p in 3*p**4/4 + 57*p**3/2 - 549*p**2 - 43065*p/2 + 88209/4 = 0?
-33, 1, 27
Determine u so that -u**4/9 - 43*u**3 - 1912*u**2/9 - 84*u + 3056/9 = 0.
-382, -4, -2, 1
Solve -o**4/10 - 188*o**3/5 + 27159*o**2/5 - 166144*o - 1716133/10 = 0 for o.
-493, -1, 59
Factor 2*z**3 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
16447 to the nearest integer?
128
What is 15445 to the power of 1/3, to the nearest integer?
25
What is 111992 to the power of 1/2, to the nearest integer?
335
What is 1904 to the power of 1/10, to the nearest integer?
2
What is 12543 to the power of 1/4, to the nearest integer?
11
What is the tenth root of 52631 to the nearest integer?
3
What is 6731 to the power of 1/2, to the nearest integer?
82
What is 1099 to the power of 1/2, to the nearest integer?
33
What is the third root of 3532 to the nearest integer?
15
What is 18070 to the power of 1/2, to the nearest integer?
134
What is the square root of 90480 to the nearest integer?
301
What is the eighth root of 9346 to the nearest integer?
3
What is 137346 to the power of 1/3, to the nearest integer?
52
What is the square root of 2725 to the nearest integer?
52
What is 24622 to the power of 1/2, to the nearest integer?
157
What is the square root of 113796 to the nearest integer?
337
What is 2775 to the power of 1/2, to the nearest integer?
53
What is the eighth root of 2043 to the nearest integer?
3
What is 1322 to the power of 1/3, to the nearest integer?
11
What is the square root of 13463 to the nearest integer?
116
What is 83331 to the power of 1/2, to the nearest integer?
289
What is 4399 to the power of 1/2, to the nearest integer?
66
What is the square root of 32957 to the nearest integer?
182
What is the fifth root of 10758 to the nearest integer?
6
What is the cube root of 923 to the nearest integer?
10
What is the cube root of 99340 to the nearest integer?
46
What is the sixth root of 5902 to the nearest integer?
4
What is the eighth root of 32202 to the nearest integer?
4
What is the square root of 544 to the nearest integer?
23
What is the fourth root of 8305 to the nearest integer?
10
What is 1905 to the power of 1/4, to the nearest integer?
7
What is 366 to the power of 1/3, to the nearest integer?
7
What is 42831 to the power of 1/8, to the nearest integer?
4
What is 94357 to the power of 1/3, to the nearest integer?
46
What is the seventh root of 11855 to the nearest integer?
4
What is the square root of 1114 to the nearest integer?
33
What is the cube root of 703 to the nearest integer?
9
What is the fifth root of 17975 to the nearest integer?
7
What is the square root of 939 to the nearest integer?
31
What is the seventh root of 67540 to the nearest integer?
5
What is the fourth root of 30090 to the nearest integer?
13
What is the third root of 21700 to the nearest integer?
28
What is 370 to the power of 1/2, to the nearest integer?
19
What is the third root of 49171 to the nearest integer?
37
What is the third root of 3297 to the nearest integer?
15
What is the square root of 4327 to the nearest integer?
66
What is 1048 to the power of 1/7, to the nearest integer?
3
What is the square root of 406 to the nearest integer?
20
What is 1336 to the power of 1/2, to the nearest integer?
37
What is 3427 to the power of 1/3, to the nearest integer?
15
What is the cube root of 44695 to the nearest integer?
35
What is 1460 to the power of 1/3, to the nearest integer?
11
What is 1310 to the power of 1/2, to the nearest integer?
36
What is 70445 to the power of 1/3, to the nearest integer?
41
What is the square root of 2116 to the nearest integer?
46
What is the sixth root of 7795 to the nearest integer?
4
What is the third root of 2341 to the nearest integer?
13
What is 1029 to the power of 1/3, to the nearest integer?
10
What is 21534 to the power of 1/2, to the nearest integer?
147
What is 189 to the power of 1/2, to the nearest integer?
14
What is 8717 to the power of 1/2, to the nearest integer?
93
What is the seventh root of 12246 to the nearest integer?
4
What is 1282 to the power of 1/5, to the nearest integer?
4
What is 1875 to the power of 1/10, to the nearest integer?
2
What is the ninth root of 8911 to the nearest integer?
3
What is the square root of 20072 to the nearest integer?
142
What is 3658 to the power of 1/7, to the nearest integer?
3
What is the third root of 17325 to the nearest integer?
26
What is the square root of 6928 to the nearest integer?
83
What is the fifth root of 28711 to the nearest integer?
8
What is the cube root of 2201 to the nearest integer?
13
What is the fourth root of 20273 to the nearest integer?
12
What is 64 to the power of 1/6, to the nearest integer?
2
What is the fourth root of 154 to the nearest integer?
4
What is the third root of 4216 to the nearest integer?
16
What is the third root of 3475 to the nearest integer?
15
What is 10184 to the power of 1/6, to the nearest integer?
5
What is 2432 to the power of 1/3, to the nearest integer?
13
What is 2348 to the power of 1/6, to the nearest integer?
4
What is 59825 to the power of 1/2, to the nearest integer?
245
What is the square root of 77909 to the nearest integer?
279
What is the square root of 12800 to the nearest integer?
113
What is 7883 to the power of 1/3, to the nearest integer?
20
What is 102420 to the power of 1/5, to the nearest integer?
10
What is the third root of 19106 to the nearest integer?
27
What is 1817 to the power of 1/3, to the nearest integer?
12
What is the sixth root of 28218 to the nearest integer?
6
What is 46208 to the power of 1/9, to the nearest integer?
3
What is 93860 to the power of 1/3, to the nearest integer?
45
What is 24719 to the power of 1/2, to the nearest integer?
157
What is the third root of 1908 to the nearest integer?
12
What is 3776 to the power of 1/3, to the nearest integer?
16
What is 977 to the power of 1/9, to the nearest integer?
2
What is 341 to the power of 1/3, to the nearest integer?
7
What is 27872 to the power of 1/10, to the nearest integer?
3
What is 6354 to the power of 1/6, to the nearest integer?
4
What is the fifth root of 29 to the nearest integer?
2
What is 6558 to the power of 1/2, to the nearest integer?
81
What is the seventh root of 2659 to the nearest integer?
3
What is 121363 to the power of 1/3, to the nearest integer?
50
What is the third root of 1610 to the nearest integer?
12
What is 1351 to the power of 1/2, to the nearest integer?
37
What is 24669 to the power of 1/6, to the nearest integer?
5
What is 6452 to the power of 1/2, to the nearest integer?
80
What is 4467 to the power of 1/2, to the nearest integer?
67
What is 38525 to the power of 1/2, to the nearest integer?
196
What is 1447 to the power of 1/4, to the nearest integer?
6
What is the third root of 1395 to the nearest integer?
11
What is 56636 to the power of 1/3, to the nearest integer?
38
What is the cube root of 61832 to the nearest integer?
40
What is the tenth root of 82495 to the nearest integer?
3
What is the cube root of 96047 to the nearest integer?
46
What is the third root of 10240 to the nearest integer?
22
What is 948 to the power of 1/10, to the nearest integer?
2
What is 80 to the power of 1/3, to the nearest integer?
4
What is the seventh root of 2560 to the nearest integer?
3
What is 19670 to the power of 1/5, to the nearest integer?
7
What is the square root of 1711 to the nearest integer?
41
What is 13420 to the power of 1/2, to the nearest integer?
116
What is the third root of 7469 to the nearest integer?
20
What is 2918 to the power of 1/2, to the nearest integer?
54
What is 3896 to the power of 1/9, to the nearest integer?
3
What is the square root of 169924 to the nearest integer?
412
What is the square root of 64391 to the nearest integer?
254
What is 4857 to the power of 1/9, to the nearest integer?
3
What is 236 to the power of 1/2, to the nearest integer?
15
What is the fifth root of 240 to the nearest integer?
3
What is the fifth root of 5120 to the nearest integer?
6
What is the square root of 22817 to the nearest integer?
151
What is 25964 to the power of 1/2, to the nearest integer?
161
What is the square root of 16281 to the nearest integer?
128
What is 38201 to the power of 1/2, to the nearest integer?
195
What is the square root of 6538 to the nearest integer?
81
What is the seventh root of 140674 to the nearest integer?
5
What is the tenth root of 47600 to the nearest integer?
3
What is 160312 to the power of 1/7, to the nearest integer?
6
What is 1781 to the power of 1/8, to the nearest integer?
3
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1 + 4*(sqrt(80) + -2 - sqrt(80) - sqrt(80))))**2.
4704*sqrt(5) + 13921
Simplify 1 + (-2 + sqrt(432) + sqrt(432) + -3 - sqrt(432) - -3*2*sqrt(363)).
-4 + 78*sqrt(3)
Simplify (-5 + (-2*sqrt(704)*3 - -4*(1 + sqrt(704))**2))*-1*-2.
32*sqrt(11) + 5630
Simplify 6*(-2*(sqrt(2448) + sqrt(2448) + sqrt(2448)*1*6))**2.
3760128
Simplify ((sqrt(252) + (sqrt(252) - ((sqrt(252) - 1*sqrt(252)) + sqrt(252))))**2*-6 - (sqrt(7) - sqrt(21)/sqrt(12))*-1) + -1.
-1513 + sqrt(7)/2
Simplify ((3 + (sqrt(700) - (0 + sqrt(700))) + -3 + -1)*-4)**2.
16
Simplify 2 + ((sqrt(40)/sqrt(2))/sqrt(10) - (-3 + sqrt(8)) - (sqrt(14)/(sqrt(21)/sqrt(3)) + -5))**2.
-32*sqrt(2) + 74
Simplify (((sqrt(720)*-1 - sqrt(720)) + sqrt(720))*6 + sqrt(50)/(sqrt(250) - (sqrt(250) - (sqrt(250) + sqrt(250) + sqrt(250)*3))))**2.
3236401/125
Simplify (6*(3*sqrt(98) + 3)*-5)**2.
113400*sqrt(2) + 801900
Simplify (sqrt(297)/(sqrt(99) - -1*sqrt(99)))/(6*(sqrt(900)*-1 - sqrt(900) - sqrt(900) - sqrt(900))).
-sqrt(3)/1440
Simplify (sqrt(1458)*-2 - (sqrt(18) + sqrt(216)/(sqrt(60)/sqrt(5))))/((sqrt(294) - (sqrt(294)*4 - sqrt(294)))*-2).
-5*sqrt(3)/7
Simplify 3*(sqrt(17)*-2 + 0 + sqrt(17)*-2*-6 + (sqrt(17) + -1 + sqrt(17))*-3 + -1*(sqrt(68)/sqrt(4) - sqrt(17)))**2.
72*sqrt(17) + 843
Simplify (2*sqrt(170)*2 + sqrt(170))/(sqrt(70)/(-2*sqrt(7))).
-10*sqrt(17)
Simplify -1 + (sqrt(150) + sqrt(150) + (sqrt(150) + 2*sqrt(150) + sqrt(150) + sqrt(150))*3)/(sqrt(12) - (sqrt(12) - sqrt(12)*-1))*-2.
-1 + 85*sqrt(2)
Simplify (1*((sqrt(65)*-1 - sqrt(65)) + sqrt(65) - sqrt(65)))/(-4*-5*sqrt(5)).
-sqrt(13)/10
Simplify (1 + -2 + sqrt(72) - sqrt(72) - (sqrt(72) + 0 + sqrt(72))*3)**2 - ((sqrt(72)*-2 + sqrt(72))*-2 - -5*(sqrt(72) - (sqrt(72) + -2)**2)).
-90*sqrt(2) + 2973
Simplify ((-2 + sqrt(3))*4)**2 + -4 + 0 + sqrt(75) + -1.
-59*sqrt(3) + 107
Simplify 6*(-3*(sqrt(200)*-4)**2 - (sqrt(200) + 3 + -1)**2).
-58824 - 240*sqrt(2)
Simplify (5*sqrt(52)*-4 - ((sqrt(13) - (sqrt(13) + sqrt(13) + -1)) + -5 + sqrt(26)/sqrt(2) + -2))**2.
-480*sqrt(13) + 20836
Simplify ((sqrt(5) + 2)*4*4)**2 - ((sqrt(90)/sqrt(3))/sqrt(6) - sqrt(20)*1).
1025*sqrt(5) + 2304
Simplify 3*(-4 + (0 + sqrt(500)*1)*2)**2.
-480*sqrt(5) + 6048
Simplify (sqrt(66)/(sqrt(24)/sqrt(4)) - (-3 + sqrt(275)))**2 + (-5*(sqrt(1584) + 4*sqrt(1584)))**2.
-24*sqrt(11) + 990185
Simplify (4*(sqrt(2057) + 0 + 5 + sqrt(2057) - (-1 + sqrt(2057) + sqrt(2057) - sqrt(2057))*1))**2*-4*-6.
50688*sqrt(17) + 803712
Simplify ((sqrt(80) - -3*sqrt(80)*-1) + sqrt(80))/(-3*sqrt(640)*2).
sqrt(2)/24
Simplify ((-1*2*sqrt(68))**2 + ((sqrt(68) - -4*(1 + sqrt(68)))**2 - sqrt(68)) + (0 + sqrt(68))*-6 + -2*(sqrt(68) + (sqrt(68)*-2)**2))*6.
372*sqrt(17) + 8664
Simplify ((sqrt(19) + sqrt(76)/sqrt(4))**2*4 - (-2 + sqrt(2736)))*2.
-24*sqrt(19) + 612
Simplify (((sqrt(72) + sqrt(72) + 0 + sqrt(72) - sqrt(72)) + 3 - (0 + sqrt(72) + 0)) + 2 + -2*sqrt(72) + sqrt(72) + 1 + -1)**2.
25
Simplify 0 + (sqrt(84)/sqrt(7) + sqrt(3) - (sqrt(3) + -1*sqrt(3))*6 - 3*(sqrt(363) - (sqrt(363) + 1)))**2.
18*sqrt(3) + 36
Simplify (sqrt(110) - (sqrt(110) + (sqrt(110)*-1 + sqrt(110))*5) - (sqrt(110) + -2*sqrt(110))*-6)/(-1*sqrt(10)*-4 - -1*sqrt(10)*-1)*1.
-2*sqrt(11)
Simplify (-5*(sqrt(171) - ((sqrt(171) + (sqrt(171)*1 - sqrt(171)))*-4 + sqrt(171) + sqrt(171) + sqrt(171))))/(sqrt(576) + (sqrt(108)*2)/sqrt(12)).
-sqrt(19)
Simplify (-3 + sqrt(128) + 5 + 3)**2 + -4 + 1.
80*sqrt(2) + 150
Simplify (-1*(sqrt(99)*2 + -2 - (sqrt(99)*-1 + -2)))**2.
891
Simplify -3 + (4*(sqrt(5) - (sqrt(605) + 0)) + ((sqrt(80) + sqrt(80)*1)/sqrt(2))/sqrt(8))**2.
7217
Simplify -5 + ((-2*sqrt(1620) + sqrt(45))/sqrt(3))/(-2*sqrt(48)*5).
-5 + 11*sqrt(5)/40
Simplify (sqrt(1539) - -2*sqrt(1539)) + -4 + (sqrt(171)*2 + sqrt(171))/sqrt(9) + sqrt(19)*-2 + -1.
-5 + 28*sqrt(19)
Simplify (sqrt(4320) + (sqrt(4320) - sqrt(4320)*-1) + sqrt(4320) + (sqrt(150)*-1 - sqrt(150))/sqrt(5))/((sqrt(60) + sqrt(420)/(sqrt(14)/sqrt(2)))/sqrt(6)).
23*sqrt(3)
Simplify ((0 + sqrt(55)/sqrt(5))**2 + (-4 + 2 + sqrt(11))**2 + 5)*4.
-16*sqrt(11) + 124
Simplify 1*(sqrt(1300) - ((sqrt(1300)*-1)**2 + 0)) - (1*(sqrt(1300) + -2 + -3 - sqrt(1300)))**2.
-1325 + 10*sqrt(13)
Simplify (0 + (sqrt(38)/sqrt(2) + sqrt(19) + 3 + (3 + (sqrt(19) + 1 - sqrt(19)) - sqrt(19)))*3)**2.
126*sqrt(19) + 612
Simplify (5 + (sqrt(7200)*-1)/(sqrt(40)/sqrt(196) - sqrt(10)))**2.
140*sqrt(5) + 1005
Simplify 4*(5*(sqrt(132)*-4 - sqrt(132)))/((sqrt(180)/sqrt(3))/sqrt(5)).
-100*sqrt(11)
Simplify (-1 + -4*(sqrt(210)/(sqrt(6)*-2))/sqrt(5)*3)*6.
-6 + 36*sqrt(7)
Simplify (5*2*sqrt(204))/(sqrt(108)/((sqrt(18)/sqrt(2) - sqrt(9)) + sqrt(9)))*3.
30*sqrt(17)
Simplify sqrt(187)/((-2*sqrt(121))/sqrt(11)) + (-5*sqrt(102) - sqrt(102) - sqrt(102))/sqrt(6)*2.
-29*sqrt(17)/2
Simplify ((sqrt(90) - -1*sqrt(90))/sqrt(5))/(sqrt(6) + 2*sqrt(294)).
2*sqrt(3)/15
Simplify (1*(1*sqrt(170) - sqrt(170)))/((sqrt(180)/sqrt(3))/sqrt(6)) + (-3*sqrt(136) + sqrt(136) + sqrt(136))/sqrt(8) + (-1*sqrt(153))**2.
-sqrt(17) + 153
Simplify sqrt(112)/sqrt(64)*-6*-5.
15*sqrt(7)
Simplify -5 + (-5 + 0 + sqrt(539)*-2)**2.
140*sqrt(11) + 2176
Simplify (-4*-2*sqrt(132) + (sqrt(132)*1*-3 - sqrt(132)))/(sqrt(132)/(3*(sqrt(11) - -1*sqrt(11)))).
24*sqrt(11)
Simplify -4*(-1 + ((sqrt(2) + -2)*5)**2 + 2 + sqrt(242)).
-604 + 356*sqrt(2)
Simplify (-4*2*sqrt(119)*2)/(sqrt(21)/(-1*sqrt(3)) - sqrt(28)*3).
16*sqrt(17)/7
Simplify (sqrt(1573) - (sqrt(1573) + -2 + sqrt(1573) + 0))**2 - (sqrt(91)/sqrt(28) + -3*1*sqrt(13)).
-83*sqrt(13)/2 + 1577
Simplify (4*1*(0 + sqrt(847)))**2 + (((sqrt(7) + -1)*-2)**2 + (sqrt(1008) - (0 + sqrt(1008))))*6.
-48*sqrt(7) + 13744
Simplify ((-2*sqrt(91)*-2 + -1*2*sqrt(91))/(sqrt(14)/(sqrt(18)*2)))**2.
1872
Simplify 3 + ((sqrt(1872) + 0)*4 + (sqrt(1872) - 3*(sqrt(1872) + 1*sqrt(1872))))**2 + -4.
1871
Simplify ((3*sqrt(810)*-2 - sqrt(810)) + sqrt(810))/(-5*sqrt(125)*2).
27*sqrt(2)/25
Simplify -5 + (-4*sqrt(209)*1)/(sqrt(132)/sqrt(3)).
-2*sqrt(19) - 5
Simplify (sqrt(208)/sqrt(4))/sqrt(4) + (sqrt(13) - (3 + sqrt(39)/sqrt(3))) - (0 + sqrt(13) + 1*sqrt(13) + 3)**2.
-64 - 11*sqrt(13)
Simplify (3*(sqrt(252)*2 + 0 + 1*sqrt(7) + -2)*-2)**2.
-1872*sqrt(7) + 42732
Simplify -2*(-4 + 1 + sqrt(800) - sqrt(800))*3*-2.
-36
Simplify (sqrt(136)/sqrt(4)*4 + -3*(sqrt(34) - sqrt(136)))/(sqrt(14)/(sqrt(567) + (sqrt(567) - (sqrt(567) + 3*sqrt(567)) - sqrt(567)))).
-189*sqrt(17)
Simplify (-6*(-3*sqrt(637) - sqrt(637)))**2 + (sqrt(65)*-1*5)/sqrt(5) + 3.
-5*sqrt(13) + 366915
Simplify (-4*sqrt(152)*4 + sqrt(152))/sqrt(8) - (sqrt(2299) + -6*((sqrt(2299) - sqrt(2299)*-3)**2 - sqrt(2299))).
-92*sqrt(19) + 220704
Simplify (2*(sqrt(130) + sqrt(130)*1) + sqrt(130) + -5*(sqrt(130) + (sqrt(130)*1 - sqrt(130))))/(sqrt(10) + sqrt(50)/(sqrt(10)/sqrt(2)) - 2*sqrt(640)).
0
Simplify ((sqrt(336) + (sqrt(336) - (sqrt(336)*-6 - sqrt(336) - sqrt(336) - sqrt(336)))*5)/(sqrt(12)*1*-4))**2.
18207/4
Simplify ((1*sqrt(187) + sqrt(187) + sqrt(187))*-2 + (sqrt(187) - -3*(sqrt(187) - sqrt(187)*2 - sqrt(187))) + sqrt(187) + sqrt(187))/(6*sqrt(275)*4).
-3*sqrt(17)/40
Simplify (sqrt(18)/sqrt(6) + sqrt(3) + -4 + 2 + (2*(sqrt(6) - (-1*sqrt(6) - sqrt(6) - sqrt(6))))/sqrt(2))**2.
-40*sqrt(3) + 304
Simplify (sqrt(68)/(sqrt(16)/sqrt(8)))/sqrt(2) - sqrt(68)/sqrt(4)*5*3.
-14*sqrt(17)
Simplify ((3*sqrt(528))/sqrt(12) - (-2*sqrt(495))/sqrt(5))**2.
1584
Simplify ((((1 + sqrt(325))*5 - sqrt(325)) + sqrt(325) - (-5 + 2*sqrt(325))) + 0)**2.
300*sqrt(13) + 3025
Simplify 2*((sqrt(605) + -1 + 1 + sqrt(605) - sqrt(605)) + (-2*sqrt(605) + sqrt(605) + sqrt(605) + 2 - sqrt(605) - sqrt(605)))**2*2*2.
-352*sqrt(5) + 4872
Simplify (6*3*(-5 + sqrt(425)*1 + sqrt(425) + -3*(-1 + sqrt(425))))**2.
6480*sqrt(17) + 138996
Simplify (sqrt(152)/(sqrt(24)/sqrt(3)) - (sqrt(76) + sqrt(76)*-2)**2)*-3 + 1.
-3*sqrt(19) + 229
Simplify ((-4 + sqrt(1088) + 2*sqrt(1088) + 5 - (-2 + -1*(0 + sqrt(1088))))*-5)**2.
4800*sqrt(17) + 435425
Simplify (1*((-2 + sqrt(1700))*-4 + -2 + 2 + sqrt(612)))**2.
-544*sqrt(17) + 19716
Simplify ((sqrt(270)*1 - sqrt(270) - sqrt(270) - sqrt(270)) + sqrt(270) - 1*sqrt(3000))/((sqrt(1176)*-1)/sqrt(4)).
13*sqrt(5)/7
Simplify (-1 + sqrt(425) - 4*sqrt(153)) + -4 + -4*sqrt(51)/(sqrt(3) + sqrt(12) + sqrt(3))*1.
-8*sqrt(17) - 5
Simplify (3*sqrt(42)/sqrt(3)*-2)/(6*1*sqrt(7) - (sqrt(42)/sqrt(3))/sqrt(2)).
-6*sqrt(2)/5
Simplify (sqrt(104)/sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
d 143/138?
3588
Suppose -40*l = -41*l - 15. Let r = -8 - l. Let n(y) = 8*y - 1. Calculate the lowest common multiple of r and n(1).
7
Suppose -39*t + 16*t = -110*t + 783. Suppose l + 9 = -5*z, z = -5*l + 29 - 170. Let r = -8 - l. What is the smallest common multiple of t and r?
63
Suppose 2*v - 76 = s + 158, -4*v - 4*s = -432. Calculate the smallest common multiple of v and 304.
912
Suppose 14*q = 49 + 371. Let d be q/(-9)*342/(-15) - 0. Suppose 76 = 3*u - u + 4*y, 2*u + y = d. What is the least common multiple of 6 and u?
114
Let w = 0 + 36. Calculate the lowest common multiple of w and -20*((-8)/12)/((-135)/(-81)).
72
Let f(p) = -p**3 - 15*p**2 + 23*p - 67. Let x be f(-18). Suppose l + x = 1341. What is the smallest common multiple of 14 and l?
5950
Suppose 0 = 5*n - 5*c, 4*n = -23*c + 19*c + 16. Suppose -3*g = 15, -n*l - 2*g = -g - 7. Calculate the smallest common multiple of 72 and l.
72
Let r = -1949 + 1993. Let j = 11 - 0. Calculate the least common multiple of j and r.
44
Let j = 30/349 + 41231/3490. Let p = -6341/1710 - 4/285. Calculate the common denominator of j and p.
90
Suppose 4*w + 3*w = 0. Suppose -2*q + 38 - 32 = w. Let f(h) = 5*h**2 - 7*h + 9. Calculate the lowest common multiple of f(q) and 30.
330
Suppose -2*h - 45 = -q, -2*q + 11 = -3*h - 80. Let g = q + -29. Let r(d) = -d**2 - d + 22. What is the smallest common multiple of r(-5) and g?
18
Let i(g) = -2*g**3 - 13*g**2 - 3*g - 15. Let n be i(-6). Let v be 72/n + 14/77. Let m(u) = -3*u - 2. What is the least common multiple of m(v) and 1?
4
Let c = 144569/10 + -14445. Let y(h) = -191*h**2 - 1. Let z be y(-1). Let j = 1519/8 + z. What is the common denominator of j and c?
40
Suppose -4*a = c + 8, -7 = 4*c - 2*c + 5*a. Suppose 3*o - c*m = 15, 4 = 3*o - 3*m - 11. Calculate the lowest common multiple of o and 2*4 - (-2 + 3).
35
What is the common denominator of -10/2571 and (34 - 214)/(-30) - (-94)/(-42)?
17997
Let o = 9533/5 + -1888039/990. Find the common denominator of o and 7/90.
990
Let t = -1684/51 + 451291/11730. Let c = 71/23 - t. Let a = 18805/3906 - 20/217. What is the common denominator of c and a?
90
Suppose 0 = 702*h - 55055 - 48686 - 12089. Calculate the smallest common multiple of h and 440.
1320
Suppose 10*v + 70 = -4*v. Let f(z) = -2*z**3 - 7*z**2 - 4*z + 5. Calculate the least common multiple of f(v) and 24.
600
Suppose 3*a - 102 = 3*d, 44*a - 43*a - 2*d = 38. Calculate the smallest common multiple of a and 290.
870
Suppose 11949 - 11913 = 3*m. Let w(q) = -6*q - 6. Calculate the least common multiple of m and w(-4).
36
Let u(m) = 28*m - 34. Let h be u(13). Let g = h + -21. Calculate the common denominator of 11/9 and ((3/12)/1)/((-9)/g).
36
Suppose 10*l + 966 = 79*l. Suppose 0 = -4*q + 844 + 4. Calculate the least common multiple of q*(-8)/(-28)*l/8 and 8.
424
Let w(s) = -s**2 + 6*s + 274. Calculate the smallest common multiple of w(-13) and 1155.
10395
Let s = 4/8533 - -708167/153594. What is the common denominator of (-260)/(-24)*((-164)/32 + 5) and s?
144
Let u be (1 - -2) + 72/(-6). Find the common denominator of 85/36 and (-42)/u + -4 + (-430)/(-192).
288
Let b = 8469 + -8455. Calculate the smallest common multiple of b and 1204.
1204
Let d(g) = -2*g**3 - 4*g**2 - 5*g - 2. Let p be d(-4). What is the common denominator of -67/4 and p*((-26)/(-65))/((-88)/(-10))?
44
Let d = -36211 + 325885/9. Calculate the common denominator of d and -38*-1*(-2)/66.
99
Let y(q) = 85*q**2 + 4*q - 3. Let l be y(1). Calculate the common denominator of 63/212 and 525/(-900)*l/(-21).
1908
Let s be (16246/(-76))/(3/6). Let c = s - -159583/76. Let l = 1660 - c. What is the common denominator of 33/29 and l?
116
Let r(y) = -5*y - 52. Let l be r(-9). Calculate the smallest common multiple of (2 + 1)/(-3)*l and 2.
14
What is the common denominator of 37/11 and (13/(364/376))/(-1 + -13)?
539
Let x(l) = l**2 + 28*l - 29. Let j be x(-24). Let u = j + 391/3. Calculate the common denominator of -17/428 and u.
1284
Let g be 2 + (-2)/2*-4. Let k = -98 - -119. Calculate the least common multiple of 4 and 21/g*24/k.
4
Let k be 2/((-12)/(-9)) - 2/(-4). Suppose -4*t + t + 5*z = -317, 2 = -k*z. What is the least common multiple of t and 9?
936
Let b = 133950661203 - 41256766796221/308. Let j = b + -119657. Find the common denominator of 49/8 and j.
616
Suppose 53*x = -82*x - 132*x + 2208891. Calculate the smallest common multiple of 9 and x.
74457
Let n = 434 - 567. Let a = n + 149. What is the smallest common multiple of 8 and a?
16
Let f(h) = 3*h - 15. Let s be f(12). Suppose -7*j + 11*j + s = t, -4*t + 2*j = -42. Calculate the lowest common multiple of t and 6 + -2 - (6 - 20).
18
Let h be ((-1)/(-2))/(8/288). Suppose -97*z + 94*z = -h. What is the least common multiple of z and 3 - -9 - (-1 - 1)?
42
Let z(w) = w**2 - 4*w + 6. Let d = 9 + -5. Suppose 2*m - 14 = -b + 9, -2*b = -2*m - 22. What is the lowest common multiple of z(d) and b?
30
Let i = 37198/1863873 + 1/2529. Calculate the common denominator of 45/8 and i.
5896
What is the common denominator of -24/35 and ((-28)/(-182))/((-190)/(-3495)) - 3/1?
8645
Find the common denominator of 73/135 and (6006/1080)/(-11) + (-86)/(-645).
540
Let h = -138 - -769/6. Find the common denominator of h and 90/(-27)*34/(-45).
54
Suppose 0 = 7*t + 111 + 106. Let l be t/124 + 406558/(-8). Let s = l - -5488421/108. What is the common denominator of 101/22 and s?
1188
Let s be 6/(20 - -4) - (-887)/4. Let t = -64 + s. What is the common denominator of -55/2 and t/54 - 51/34?
54
Suppose 6*c - 296909 = -13829. Let a = 1415551/30 - c. Calculate the common denominator of a and -131/24.
120
Let z(x) = -x**3 - 2*x**2 - 4*x. Suppose -3*h = 198 - 252. Calculate the least common multiple of z(-4) and h.
144
Let a = 52755 - 2954369/56. Calculate the common denominator of 73/28 and a.
56
Suppose 0 = 72*s - 77*s + 135. Let v = -8027/3180 + -20/159. Calculate the common denominator of v and 260/(-3)*s/648.
180
Let u = -74123/6308 - -1/1577. Let v = -1367250205/141 + 9696717. Let d = v + 281/3. Calculate the common denominator of u and d.
188
Let o = 4899 + -176231/36. Let g be (21/(-6))/(-7) + (-13181)/12. Let q = -6629/6 - g. Calculate the common denominator of q and o.
36
Suppose 3*y + 2*l + 8 = 7*l, -5*l + 20 = 0. Suppose 0*f - y*f + 28 = 0. Let g(u) = 2*u**2 + 60*u + 9. What is the lowest common multiple of g(-30) and f?
63
Suppose 0 = -2817*f + 2838*f - 609. What is the least common multiple of 1 and f?
29
What is the common denominator of 3 + 3095/(-330) + 4 and -67/438?
4818
Let a = 55089 + -604644/11. Let y = a + -148658/1221. Calculate the common denominator of 19/9 and y.
333
Let r(t) = -t**2 - 31*t - 41. Let a be r(-8). Suppose -x + o = -a, 2*x - 5*o + 8*o - 306 = 0. Calculate the lowest common multiple of x and 18.
882
Suppose -4*o = -0*o - 108. Let j = -11 - 49. Let y = -27 - j. What is the smallest common multiple of o and y?
297
Suppose 11 = 3*s + 20, 4*z - 39 = s. Find the common denominator of -113/20 and ((13/(-2))/(z/(-30)))/82.
2460
Suppose 2485 = o - 4*x, -1423*x = -3*o - 1426*x + 7500. Calculate the least common multiple of o and 1816.
19976
Calculate the common denominator of 111/3668 and 15 + 19 + 2110/(-80).
7336
Calculate the common denominator of 78/91 + 28196/(-50960) and -69/520.
520
Suppose 0 = -2*q + 4*m + 192, 552 = -28*q + 33*q + 2*m. Calculate the lowest common multiple of 468 and q.
1404
Suppose 5*q = 5*a + 10, -2*q = 3*a + 3*q - 18. Calculate the common denominator of 81/26 and ((-24)/15 + a)*6/12.
130
Suppose 65 = -h + 113. What is the common denominator of (19/(-12))/(h/(-180)) and 67/64?
64
Let w = 19226/4350759 + 2/5223. Let g = w + 48302/2499. Find the common denominator of 35/51 and g.
51
Suppose -7*t + 152 = 26. Suppose -5*w + 2*f = -358, -2 = -f - 1. What is the common denominator of t/w - 17/28 and -51/7?
14
What is the common denominator of (-20)/18 + 76659/(-109296) and 47/15474?
123792
Suppose 5*f = 2*f + s + 8, s = f. Let x(h) = 92*h - 1268. What is the smallest common multiple of f and x(14)?
20
Let u = -1370580 - -962146999/702. Calculate the common denominator of -51/52 and u.
1404
Let o = 510092 + -521824057/1023. Find the common denominator of o and 58/341.
1023
Let z be 45 + -1 - (4 + 0). What is the common denom
|
{
"pile_set_name": "DM Mathematics"
}
|
multiple of 2303235 and 255915?
2303235
Find the common denominator of -10/207 and -49/2944.
26496
Calculate the smallest common multiple of 295865 and 15.
887595
What is the smallest common multiple of 32 and 1470380?
11763040
Calculate the common denominator of 133/673986 and -113/6.
673986
What is the smallest common multiple of 1014 and 10?
5070
What is the common denominator of -127/12 and -169/151020?
151020
What is the common denominator of 55/2016 and -117/28?
2016
Calculate the least common multiple of 211680 and 11760.
211680
Calculate the least common multiple of 350 and 2140.
74900
What is the smallest common multiple of 144972 and 181215?
724860
What is the common denominator of -38/14919 and 71/627?
3118071
Calculate the smallest common multiple of 89505 and 21.
626535
Calculate the common denominator of 11/279 and 11/2457.
76167
What is the lowest common multiple of 33 and 5451?
59961
Calculate the least common multiple of 4965 and 3310.
9930
What is the least common multiple of 20 and 1995?
7980
What is the common denominator of 47/16425 and -59/132057?
3301425
Calculate the common denominator of 25/150801 and -19/77.
1658811
What is the common denominator of -8/1255 and 44/4267?
21335
What is the least common multiple of 28 and 64436?
451052
What is the common denominator of -13/252568 and -61/189426?
757704
Find the common denominator of -56/165 and 35/2673.
13365
Calculate the lowest common multiple of 12 and 2556.
2556
What is the least common multiple of 118818 and 4048?
10455984
Calculate the common denominator of 63/100 and 117/33790.
337900
What is the least common multiple of 1988748 and 994374?
1988748
What is the common denominator of -79/52 and -9/2860?
2860
Calculate the common denominator of -81/4 and 55/3491492.
3491492
What is the least common multiple of 2730 and 2205?
57330
Calculate the common denominator of 19/3255 and 8/115.
74865
What is the common denominator of -43/7800 and 167/110760?
553800
Calculate the lowest common multiple of 49120 and 24.
147360
Find the common denominator of -107/115815 and -52/63.
347445
Calculate the lowest common multiple of 431900 and 185100.
1295700
What is the least common multiple of 1384732 and 36971?
15232052
What is the common denominator of -105/7982 and -11/3224?
989768
What is the lowest common multiple of 36406 and 17702?
1929518
What is the common denominator of 35/7972 and 31/40?
79720
Calculate the common denominator of -59/19464 and 113/1002396.
2004792
What is the common denominator of -73/380282 and 91/108652?
760564
Calculate the common denominator of -149/2796 and -167/378.
176148
What is the least common multiple of 15 and 1389?
6945
Calculate the common denominator of 40/287011 and 79/4.
1148044
What is the common denominator of -155/2484 and -67/612?
42228
Calculate the common denominator of -123/50 and -52/791205.
7912050
Calculate the common denominator of -71/140 and 16/133.
2660
Calculate the smallest common multiple of 2913650 and 40.
11654600
What is the lowest common multiple of 2933 and 14665?
14665
Find the common denominator of 119/2544 and 113/5830.
139920
Calculate the least common multiple of 95931 and 117249.
1055241
Find the common denominator of 109/36 and -53/468.
468
Calculate the common denominator of -17/1978 and -83/21758.
21758
What is the least common multiple of 447 and 4041?
602109
Calculate the common denominator of -53/611348 and -35/64.
9781568
What is the smallest common multiple of 24125 and 1930?
48250
What is the lowest common multiple of 2250666 and 511515?
11253330
What is the smallest common multiple of 401475 and 5050?
802950
Calculate the least common multiple of 5751 and 137.
787887
Calculate the smallest common multiple of 10912 and 2112.
65472
Calculate the common denominator of 37/2706 and -119/4428.
48708
Calculate the lowest common multiple of 92538 and 13356.
1295532
What is the common denominator of -93/4 and 13/4908?
4908
What is the common denominator of -47/275 and -27/1242925?
13672175
What is the least common multiple of 1610 and 245?
11270
Find the common denominator of -41/38365 and -49/40.
306920
Calculate the smallest common multiple of 9860 and 2842.
483140
Calculate the common denominator of -191/489900 and -11/11500.
2449500
What is the common denominator of -25/272 and 137/4930?
39440
What is the smallest common multiple of 1359875 and 60?
16318500
Calculate the lowest common multiple of 5394 and 41122.
3824346
What is the least common multiple of 37105 and 160?
1187360
What is the least common multiple of 1838 and 2757?
5514
Calculate the common denominator of 83/2782 and -83/428.
5564
What is the common denominator of -39/9494 and -17/16?
75952
Calculate the common denominator of -20/992691 and -101/220598.
1985382
What is the least common multiple of 795306 and 4791?
795306
Calculate the common denominator of -52/513 and 34/680751.
680751
Calculate the smallest common multiple of 66986 and 558.
18689094
What is the lowest common multiple of 20 and 217836?
1089180
Calculate the least common multiple of 180 and 4302.
43020
What is the smallest common multiple of 1152 and 108?
3456
What is the common denominator of 7/22 and -37/5632?
5632
What is the common denominator of -145/7986 and 29/109142?
327426
Find the common denominator of -101/12 and 67/1587594.
3175188
Calculate the smallest common multiple of 285 and 40380.
767220
Calculate the least common multiple of 466 and 14614.
3405062
What is the common denominator of -74/6267 and -137/102?
213078
Calculate the common denominator of -27/16 and 47/5008.
5008
Calculate the common denominator of -53/624 and -109/4164.
216528
Find the common denominator of -9/73 and 3/10658.
10658
Calculate the smallest common multiple of 247737 and 4089.
7184373
What is the common denominator of -55/846672 and 53/144?
2540016
What is the common denominator of 101/69876 and 64/122283?
489132
Calculate the common denominator of 119/10788 and 7/1209.
140244
Calculate the common denominator of -79/114 and -63/46504.
2650728
Find the common denominator of 47/282817 and -4/9189.
2545353
Find the common denominator of -13/7910 and 121/5650.
39550
Calculate the common denominator of 37/2 and -113/128860.
128860
Find the common denominator of 137/206040 and 23/75548.
2266440
What is the common denominator of 37/17178 and -1/126?
51534
Find the common denominator of -117/85946 and 111/49112.
343784
Calculate the common denominator of 11/62 and -115/43338.
43338
What is the least common multiple of 348140 and 12?
1044420
Calculate the common denominator of -38/40535 and -29/2.
81070
What is the common denominator of 20/1551 and -76/4935?
54285
What is the common denominator of 121/72306 and 17/234?
72306
Calculate the smallest common multiple of 24464 and 1232.
171248
What is the common denominator of 27 and -19/4815?
4815
What is the smallest common multiple of 252 and 288?
2016
Find the common denominator of -10/30017 and -95/468.
1080612
What is the common denominator of 47/41106 and -77/4743?
123318
What is the common denominator of 73/19875 and 29/3339?
417375
Calculate the lowest common multiple of 52376 and 26188.
52376
What is the common denominator of 6/210497 and -59/63?
1894473
What is the smallest common multiple of 33 and 7?
231
What is the least common multiple of 130401 and 9?
130401
Calculate the least common multiple of 21410 and 42820.
42820
What is the common denominator of -76/7227 and -41/11169?
122859
Find the common denominator of 52/19481 and -25/15939.
175329
What is the common denominator of -107/14964 and 51/1856?
239424
Find the common denominator of -81/1300 and -61/24.
7800
What is the smallest common multiple of 329 and 70594?
494158
Calculate the least common multiple of 10 and 90657.
906570
Calculate the common denominator of -39/10394 and -13/207880.
207880
What is the smallest common multiple of 73917 and 41065?
369585
Calculate the smallest common multiple of 176 and 7312.
80432
Calculate the smallest common multiple of 5184 and 19872.
119232
Find the common denominator of -47/279222 and 65/42.
1954554
What is the common denominator of 11/2486266 and 41/10?
12431330
Calculate the common denominator of 71/2358 and 17/7762.
9151398
Calc
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let l be o(-4). Let v(t) = t**3 - 3*t**2 + t + 2. Let n be v(l). Solve 25 = -n*d, 2*d = -q - d - 16 for q.
-1
Let j(r) = -r**3 - 35*r**2 + 37*r + 39. Suppose 4*i = -2*p - 52, -5*p + 0*i + 4*i = 200. Let u be j(p). Solve 0 = u*h + 15, 4*c - 36 + 11 = h for c.
5
Suppose 4*i + 3*f + 11 - 43 = 0, 2*i = -4*f + 26. Solve 0*j + b + 12 = 3*j, i*j = -4*b + 3 for j.
3
Let l = -669 + 672. Suppose 0 = -p, 5*p - 9 = -l*t - 3. Solve 4*b = 3*w + 19, 0 = -3*b + 3*w + t*w + 28 for b.
1
Let p(n) = -8*n - 7. Let o be p(-2). Suppose o*l + 14 = 2*l. Let q be (2/l - -3)*(-60)/(-8). Solve 3*h = q, 2*c + 3*h + 1 = -2*c for c.
-4
Suppose 3*s - 7 = -d, -3*s - 36 = -7*s + 4*d. Suppose -5*n - 8 = -6*n. Let c = n - 3. Solve s*h - 3*g - 4 = 0, -10 + c = -5*h + 5*g for h.
1
Let r be 5 + -3 + 0 - (2 - 71). Let h(m) = m**2 - 21*m - r + 121 - 69. Let k be h(22). Solve -k*a = -4*u - 4*a - 19, -9 = u - 4*a for u.
-5
Let r(z) = 4*z**2 + 174*z - 750. Let l be r(4). Solve -2*h = -g - l, 19*h - 20*h + 4*g + 12 = 0 for h.
4
Suppose -3*z + 244 = 250. Let v be (-16)/(-50)*5 - z/5. Solve h = 4*s + 2, -3*h + v*h + s = 1 for h.
-2
Let h be 297/55 - ((-3)/15 + 6/10). Solve -25*k = -23*k - 4*o - 16, 0 = -h*k - 3*o + 1 for k.
2
Let w(u) = -22*u - 787. Let h be w(-36). Solve 4*i + r + 4 + 7 = 0, 0 = 3*i + h*r + 21 for i.
-2
Let y = -1401 + 1405. Solve 0 = -2*m + y*h + 24, 5*m - 2*h = -45 + 73 for m.
4
Let l(z) = -z**3 + 12*z**2 + 3*z + 3. Let o(r) = -r**2 - 2*r. Let p(x) = l(x) + 6*o(x). Let n be p(3). Solve 5 = -2*y + 3*a - 0, -n*a = y - 20 for y.
5
Let m be 252/(-2394) - 154/(-19). Solve -3*i - m = 5*j, 9*j + 2 = 6*j + i for j.
-1
Suppose 11*h - 29*h + 54 = 0. Solve -2*n - 11 = h*k + 5, n + 15 = -5*k for n.
-5
Let t = 12588 - 12584. Solve -2*s - t*x = 0, 0*s + 3 = -s - 5*x for s.
2
Let g(a) = 3*a**2 + a - 4. Let c be g(-2). Let p be (-342)/(-27) + (-4)/c. Suppose -4*t - p = -8*t. Solve -3*i + t*f = 0, -7*f + 20 = -3*f for i.
5
Suppose -b + 24 = -5*y, -11*b - 2*y = -9*b. Solve -j - z + 1 = 5, j = -2*z - b for j.
-4
Let r be 2 + -2 - (-3 + -1). Let l(q) = q**2 - 76. Suppose 22 = 2*o + 2*a, 4*o + 4*a = a + 42. Let x be l(o). Solve -u + 3 = -5*h + 3*u, 3 = r*h - x*u for h.
-3
Suppose 0 = -2*g - 10 + 42. Let x = -63 - -64. Let n be -2 + x + (5 - 1). Solve -w + 1 + n = -2*a, g = -3*w - a for w.
-4
Suppose -257 = 23*l - 533. Solve 0 = -2*q + 5*m - 31, q + 1 = 2*m - l for q.
-3
Suppose 0 = 3*q + q. Suppose m - 8 = -5*v - q*m, -3*v + 10 = -2*m. Suppose 5*s + h = 18, -4*s - v*h + 27 = 3*h. Solve 9 = -s*j, -3*j = 2*f + 2*j + 25 for f.
-5
Suppose 123*t = 369*t - 7 + 7. Solve 4*q - 21 = -3*m + 3, t = 4*q + 5*m - 32 for q.
3
Let z be (-45)/39*(-4745)/1095. Suppose 40 = 3*x + 2*x. Solve 0 = z*j - 2*i - i - 17, 4*j - x = i for j.
1
Let d(q) = -q**2 - 5*q + 2. Let s be d(-5). Suppose -649*b + 312*b + 136 = -320*b. Solve s*x = b, -5*f + x = 5*x - 26 for f.
2
Let c(p) = -26*p**2 + p. Let n be c(1). Let m = n + 29. Suppose -m*j + 8 = 4*d, -4*d = -2*j - 0*j + 10. Solve 12 = -j*a - 4*l, 5*l = -2*a - 3 - 12 for a.
0
Let s(w) = 2*w + 3. Let i be s(2). Suppose 9*z + i = 43. Suppose -3*q = 2*c - 2, 5*q - 3 + 0 = -3*c. Solve -z*o + 2 = -5*g, 4*g - 5*g + 2*o - 4 = q for g.
2
Suppose 2*p - 2 = -g, -5*g + 10 = -0*p + p. Solve -3*t - g - 1 = -3*k, 5*t - 45 = -5*k for t.
4
Let s(v) = v**2 - 14*v + 27. Let q be s(12). Suppose -5*z = t - 46, -4*t - q = -7*t. Solve 5*w + 17 = -4*x, 0*x = -3*w - 2*x - z for w.
-1
Let b(v) = -v**3 - 4*v**2 - 3*v. Let f be b(-3). Suppose -l + 6 - 1 = 0, 3*l - 163 = -4*g. Suppose g - 61 = -2*o. Solve -i + 1 + 4 = f, o = -x + 2*i for x.
-2
Suppose 0 = n - j - 28, 6*n - 4*n - 62 = 5*j. Suppose -10 = -9*d + n. Solve 2*q - 15 = s - d, -3*s + 17 = 4*q for q.
5
Let z = -3512 - -3515. Solve z*q + 0 + 3 = 0, 0 = -2*f - 3*q - 11 for f.
-4
Suppose 9*z + 35 = 6*z + 10*z. Solve -y + 0*y - 3*o - 5 = 0, z*o = 3*y - 13 for y.
1
Let w = 44 + 12. Let u = -47 + w. Let k(z) = z**2 - 8*z - 9. Let b be k(u). Solve -o - 12 = -3*c - 0*o, b = 5*o - 15 for c.
5
Let t be ((-256)/1216)/(4/(-76)). Solve 0 = t*x - b, 15*b - 12*b = -2*x - 14 for x.
-1
Let m = -269 + 71. Let f = m + 202. Solve q + 2*t + 13 = -0*t, -f*t - 17 = -q for q.
-3
Let l(q) be the third derivative of -3/8*q**4 + 0 + 0*q + 23*q**2 - 1/60*q**5 - 4/3*q**3. Let h be l(-4). Solve -5*r - 5 + 25 = 0, 0 = 5*x + 2*r + h for x.
-4
Let o = 156 + -152. Solve -2*g = -5*c + 5, 2*c + 1 = -o*g + 3 for g.
0
Let j be 121/17 - -3*2/(-51). Solve -2*a + j = -3*d + 2*d, -4*a + 15 = -3*d for d.
-1
Let b be 28 + -6 + (-770)/35. Solve 5*z + x - 9 = b, 35*z - 37*z - 5*x + 22 = 0 for z.
1
Suppose -35 = 9*w - 107. Suppose 0 = -w*h - 10 + 34. Solve 39 = -4*v - 4*i + 11, h*v = 5*i - 5 for v.
-5
Let g be (-3 - -1) + 46 + -63. Let o be g/(-8) + 0 - (-9)/(-24). Solve 0*d - 5*d = -2*n + 10, -n - 13 = o*d for d.
-4
Let k(w) = 8*w**2 + 566*w - 126. Let m be k(-71). Solve 4*b - 12 = -2*f, -8*b - m = -13*b - 3*f for b.
2
Suppose 0 = -7*u + 96 - 47. Suppose u*f - 102 = -60. Solve y - f = -3*i, 4*i - 8 = -2*y - 0 for y.
0
Let w = -331 + 690. Let f = w + -359. Solve f = -4*b + 2*j - 16, j = b - 0 + 6 for b.
-2
Let k(h) = -14*h + 131. Let y be k(8). Let q(w) = w**3 - 21*w**2 + 39*w - 12. Let x be q(y). Solve s - 3*r = 5*s - x, r = s for s.
1
Suppose -a - 4*i = 2*a + 25, 4*i - 5 = -a. Let l be 3/((-9)/6)*(a + 13). Solve l*q = 4*f, f - 3*f = -4*q - 8 for q.
-4
Suppose 642 = 332*u - 1018. Solve -u*g - 13 = -w - 33, -2*w = -4*g + 22 for w.
-5
Suppose -u - 17 = 18*f - 21*f, 4*f - 4*u - 36 = 0. Solve f*y + 10 = 2*c, 9*y + 5*c - 3 = 8*y for y.
-2
Let i be 9/(-4)*-1*16/3. Let t be ((-30)/(-45))/(4/i). Solve -2*v + 3*q - 12 + 2 = 0, 4*q = t*v + 14 for v.
1
Suppose 5*v = -3*z + 2*v - 168, -2*z - v = 108. Let a = z + 68. Solve -2*n = -2*m - 8, 6*m - n = m - a for m.
-3
Let r(z) = -83*z + 874. Let m be r(10). Solve -2*f - 2*q - 40 + m = 0, -2*f = q - 3 for f.
1
Let v(j) = 400*j + 2404. Let k be v(-6). Solve -6*x + 2*x - k*q = -12, 3*x = 5*q + 9 for x.
3
Let m(s) = -s**3 - 6*s**2 + 30*s + 2. Let l be m(-5). Let p = -168 - l. Solve -10 = 3*a - p*r - 0, -a - 2 = -r for a.
0
Suppose 4 = 102*b - 100*b. Suppose 0 = -w - p + 5, -3*w + 13 = -3*p + 4*p. Solve 4 - b = -r, -w*u - 2*r = 20 for u.
-4
Let y(h) = -2*h**2 + h + 108. Let p be y(-17). Let o = p + 491. Solve 5 = 2*r + 3*s, -o*r = -0*s + 4*s for r.
-5
Suppose 204*p - 1389 = -369. Let a be (6/4 - 1)*38. Solve 39 = -p*r - k + 13, 4*k + a = -3*r for r.
-5
Let n = 1511 - 1506. Solve 0 = -k + n*v + 15, -5*k - 8 + 2 = 2*v for k.
0
Suppose 0 = 217*z - 240*z + 161. Solve -69*y + 68*y - 3*h + 2 = 0, -2*y = 3*h - z for y.
5
Suppose 5*v + 2*q = -67, q - 2*q = -4. Let g = v - -46. Let c = g + -28. Solve -c*m - 5*r = 29, -4*m + 4 = -0*m - 4*r for m.
-3
Let b = -90 + 130. Suppose 0 = 4*x - u + 3*u - 10, 4*u + b = 4*x. Suppose -4*v = 4*j - 12, j + 6*v - 11*v = -15. Solve -x*z - 11 = -c, -2*c + z + j = 5 for c.
-4
Let x be 1 + (-36)/(3 - (4 + 1)). Suppose -63 = -11*u - x. Solve 2*q + 4*r = 6, -2 - 1 = -u*q + r for q.
1
Suppose 4*s = -4, 57 = -5*m + 3*s - 245. Suppose 0 = -5*y - 20, -4*k + 222 = 3*y - 10. Let a = k + m. Solve -4*w = -3*c + c - 16, -4*w - 3*c + 6 = a for w.
3
Suppose 3*f = 10 - 16, -4*c - 4*f = -56. Suppose -5*h + 45 = 5*s, -20*s + h + 21 = -c*s. Solve 3*z = 5*z - s, -3*v - 4*z = -21 for v.
3
Let m(s) = -167*s - 2837. Let b be m(-17). Solve 0 = -5*g + 25, -q - b*g - 8 = -4*g for q.
2
Let o(l) = l**2 + 26*l - 52. Suppose c + 26 = -2*i - 4, 1 = -i. Let k be o(c). Solve k*s + 9 - 37 = -2*b, 2*s = 5*b - 10 for b.
4
Let d(u) = -u**2 + 10*u - 16. Let j be (2 + 1)/((-42)/56). Let l = j - -11. Let w be d(l). Solve -r = r + w*f + 2, 0 = -3*r - 5*f + 2 for r.
4
Let j(h) = -17*h + 277. Let t be j(16). Solve -3*z - 1 = 3*o + z, -2*z - 33 = -t*o for o.
5
Suppose -11*b - 24 = -15*b. Suppose -b = -2*c, -3*c + 1 + 2 = -2*r. Solve o + o = 4*x - 2, -4*o - r*x = 26 for o.
-5
Let l be (1 - 0) + 3 + 2 + -4. Let a(d) = -d**3 + 6*d**2 + 27*d. Let w be a(9). Solve -3*v + p - 4*p + 18 = w, -p - l = -v for v.
4
Let u be (-6 + 25/5)/(1/(-15)). Let k = u + -5. Solve g - 3*d = -d + k, d = -4 for g.
2
Suppose h + 10 = i, -h - 13 = -14*i + 12*i. Suppose 3*g - 25 = -2*g. Let a be ((-10)/6)/g*-6. Solve -i*z + 4*d - 12 = z, -a = d for z.
-5
Let s(z) = z**2 + 11*z + 18. Let t be s(-9).
|
{
"pile_set_name": "DM Mathematics"
}
|
5*o - f, 4*o + n - 926 - 2147 = 0. Is o a prime number?
True
Is (120/18 + -7)/(2/(-20334)) a prime number?
True
Let x(s) = -3*s + 12. Let a be x(5). Is (-445 - 2)/(3/(a/1)) a composite number?
True
Let i(w) be the second derivative of w**4/6 + 2*w**3/3 + 5*w**2/2 + w. Let d be i(-7). Let r = d - 53. Is r a prime number?
False
Let j = 82813 + -52010. Is j composite?
False
Suppose -5*q + 3*q + 1596 = 0. Let f = q + 194. Suppose -732 - f = -4*l. Is l composite?
False
Let o(z) = -z**3 - 2*z**2 + 3*z. Let y be 18/4*2/(-3). Let x be o(y). Suppose x = -5*g - 2*d + 179, d + 0*d = -2*g + 72. Is g a prime number?
False
Let x(c) = c**3 + 6*c**2 + 2*c - 7. Suppose 3*f - 32 = 4*u, -f - 1 - 10 = 3*u. Let n be x(u). Let p = n + -4. Is p a prime number?
False
Suppose 30*g = 26*g. Is g + -2 - 3/(6/(-4040)) a composite number?
True
Suppose 5*i - 6370 = a + 46420, 0 = -5*i - a + 52800. Is i a prime number?
True
Let p be (-7 + 2)/(1/(-1)). Suppose -3398 = -3*o - p*j + 1155, 4*j + 4517 = 3*o. Is o prime?
True
Let u = -38 + 30. Is ((-18)/u)/9*9748 a composite number?
False
Suppose 4*b - 8 = -24, -5*n + 3*b = -27. Suppose -n*w = -6 - 3. Suppose -25 = w*v - 94. Is v a composite number?
False
Suppose 3*g - 5*u - 30696 = -g, g - 4*u = 7685. Is g prime?
True
Let k = 21 - 17. Suppose -k*c - 35 = -5*c. Is c composite?
True
Let a = 5583 - 2117. Is a composite?
True
Suppose -169 - 125 = -2*h + 3*t, -442 = -3*h + 4*t. Suppose 3*g - 1308 = -h. Let c = g - -155. Is c a composite number?
False
Suppose 3*d - 13 = 5. Is (d/(-4))/(-3) + 585/2 a composite number?
False
Suppose 2*o = -2*o - 8. Let w = 2 - o. Suppose -55 = -w*n + 381. Is n prime?
True
Let c be (2 - 1)*0*-1. Suppose c = 2*v + 4*d + 16, d + 3 = -v. Suppose -y - 443 = -v*w - 0*y, 3*w = 4*y + 657. Is w a composite number?
False
Suppose -2*g + 49 = -3*t - 10, -140 = -5*g + 5*t. Suppose 3*l - 3 - 23 = 4*j, -2*l = -2*j - 14. Suppose l*i - 41 = g. Is i prime?
False
Suppose -6*k = -8*k - 342. Let u = 177 - k. Suppose 4*f = 5*i + 692, f = 3*f - 2*i - u. Is f prime?
False
Let b = -34411 - -63708. Is b prime?
True
Suppose -2*o + 222 = -5*u, 2*u - 6*u - o = 188. Let l = u - -257. Suppose 2*t - 403 - l = 0. Is t composite?
False
Let b be (5 + -2)*(-24)/18*3. Is (-2118)/b*(-42)/(-3) a prime number?
False
Let w = -10 - -13. Suppose -8 = -w*c + c. Let y(t) = t**3 - t**2 - 5*t + 3. Is y(c) a prime number?
True
Let h(k) = 7*k + 21 - 5*k - 4*k. Let j be h(9). Suppose 0 = -a - j*a + 892. Is a prime?
True
Let q(o) = -77*o**2 + 3*o - 6. Let v(b) = b**2 + 1. Let t(s) = -q(s) - 5*v(s). Let d be t(-3). Let w = d + -435. Is w a prime number?
True
Let n(p) = -10*p**3 - p**2 + 1 - p - 7*p**3 + 9*p**3. Is n(-3) a composite number?
False
Suppose 0 = -3*l + 3*y + y + 3, -1 = -2*l + 3*y. Suppose 2*g - 498 = -2*z, l*z + 3*g - 2*g - 1253 = 0. Is z a composite number?
False
Let q = 61 - 61. Suppose 3*d - 2128 = y, -y + 708 = d - q*y. Is d composite?
False
Suppose 83*z - 92*z = -79362. Is z a prime number?
False
Let i be (-1)/(-2) + 2358/36. Suppose -i*p + 967 = -65*p. Is p a prime number?
True
Let c = -628 - -1424. Suppose 133 = i - c. Is i a prime number?
True
Is 59182/20 - (-7)/(-70) composite?
True
Suppose 0 = -w - 3 + 5. Suppose x + o - 1015 = -0*o, 5*o = -w*x + 2033. Suppose -x = -3*p + 159. Is p a composite number?
True
Suppose -5*k = 5*q - 30, q + 14 = k + 2*k. Let o(n) = 13*n + 3*n - q + 6*n. Is o(3) composite?
True
Let d = 110 + -12. Suppose 3*c - 373 = d. Is c a composite number?
False
Is 74330/8 - -2 - (-23)/(-92) a composite number?
False
Suppose 31145 = 7*p - 8342. Suppose 3*m - b - 494 = 3728, b - p = -4*m. Is m a prime number?
True
Suppose -i - 25 = 4*i + 5*x, 5*i + 13 = -2*x. Is (-86)/((-2 - (-2 + i))*-2) a prime number?
True
Suppose 0*i - 5*i = -3*r - 10172, 2*i + 2*r = 4072. Suppose i = q + 4*q. Is q a prime number?
False
Suppose 0 = v - 5*q - 15987, 2*q = -5*v + 4*v + 15959. Is v prime?
False
Suppose 5*v = 4463 + 36852. Is v composite?
False
Is (38/38)/(3/31107*1) a composite number?
False
Let x be (-1626606)/(-198) + (-2)/11. Let u = x - 5718. Is u a composite number?
True
Let o(h) = -h**3 + 77*h**2 - 11*h + 29. Is o(40) prime?
True
Suppose -5*u + 17 = -j, -2*j = -4*u - j + 13. Suppose 5*t - u*l - 2499 = 0, -2*t + l + 861 = -138. Is t composite?
False
Let w(r) = r**3 + 7*r**2 + 3*r - 11. Let g be w(-6). Suppose 0 = -q - 4 + g. Suppose q*d - 19 = 11. Is d composite?
True
Let k(s) = 2*s + 23227. Is k(0) prime?
True
Let t be (-2)/11 + 276/66. Suppose 4279 = t*h + 11. Suppose 4*j + 415 - h = 0. Is j a prime number?
True
Suppose -5*f = 2*i - 85825, 0 = -3*f + 4*i + 49780 + 1715. Is f a composite number?
True
Let j(a) = 253*a**2 - 12*a - 11. Is j(4) a composite number?
False
Let w = -665 + 1549. Let l = w - 253. Is l a prime number?
True
Suppose 3*t - t + 2 = 0. Let s be 1*(1 + t - -650). Let p = 1045 - s. Is p prime?
False
Suppose -5*o = 3*y - 69426, 5*y = -4*o + 5*o + 115682. Is y prime?
False
Suppose 3*s = 2*r - 8819, -s + 11948 = 4*r - 5669. Is r a prime number?
False
Let z be (-14)/(-1*(-2)/382). Let u = z + 1192. Is 5/(-20) - u/8 prime?
False
Let c(l) = -l + 11. Let f be c(8). Suppose 2*v = f*j - 254, -3*j + 359 = -v + 106. Let n = 161 - j. Is n composite?
True
Let j(l) = l**2 - 16*l + 28. Let q be j(14). Suppose 0 = 5*s - f - 3657, q*f + 735 = s - 2*f. Is s prime?
False
Let y be -3*7/((-42)/40). Suppose -4*a + 333 = s - 1248, -y = -4*a. Is s composite?
True
Let n be -6*-3*4/18. Suppose n*r - 54 = 6. Suppose -r - 28 = -m. Is m prime?
True
Suppose 4*k = 5*p - 867, -2*p - p = -k - 516. Suppose 4*u - 5*m - p = 0, 0*m - m = 3. Is (u/6)/(2/12) a prime number?
False
Suppose -5*l + 0*l + 5*o + 205 = 0, 5*o - 71 = -l. Suppose -173 + l = -m. Let n = m - 8. Is n composite?
True
Suppose 6*a + 7*a - 9*a = 0. Suppose -w + 7*w - 870 = a. Is w a prime number?
False
Suppose 5*d - 2625 = 5*r, 500 = 4*d - 3*r - 1603. Let u be (-2 + d/9)*3. Suppose -185 - u = -w. Is w prime?
False
Let x(h) = -307*h. Let b be 2/(-4 - (-4 - -2)). Is x(b) prime?
True
Suppose -2*y = 5*k - 15141, 5*y - 4*k - 19413 = 18522. Is y a prime number?
True
Let a = 9827 - 3908. Is a prime?
False
Let c(d) = -58*d + 3. Let w be c(-3). Let k = -246 + 248. Suppose -w = -r - k*r. Is r composite?
False
Let c(l) = 17*l**3 - 28*l**2 + 13*l + 29. Is c(14) a composite number?
True
Suppose -2*f + p + 8 = -0*p, -p + 1 = f. Suppose 4*k = -2*j + 3*k + 1270, 0 = j - 3*k - 635. Suppose j = 8*l - f*l. Is l a prime number?
True
Suppose -16*c + 831172 + 223564 = 0. Is c a prime number?
True
Let v(z) = -6*z + 10 - 2 - 12. Let s be v(-4). Suppose 4*m = -s, -2*a - 3*m = -0*m - 51. Is a composite?
True
Suppose 0 = -4*v + 3*v - 11. Let i(u) = -61*u + 1. Let o be i(v). Let k = o + -163. Is k prime?
True
Suppose 4*j = 4*u + 1188, 4*j - 18*u - 1216 = -21*u. Is j prime?
False
Let i(k) = 2*k**3 - 6*k**2 - 6*k - 6. Suppose 2 = -v + 11. Let h be i(v). Suppose 0 = -5*a + 4*a + d + 451, -3*d + h = 2*a. Is a a composite number?
True
Let c = 42613 - 25118. Is c composite?
True
Suppose 49 = -11*s - 61. Let a(i) = -31*i - 15. Is a(s) a prime number?
False
Let g(j) = j**3 + 10*j**2 - 16*j - 20. Let f(c) = -c - 1. Let d(z) = 4*f(z) - g(z). Let a be d(-11). Suppose -2*t - a*u - 347 = -4*t, -u = 5. Is t prime?
False
Let a = -27 - -60. Suppose -19*b = -13*b + 108. Let q = b + a. Is q a composite number?
True
Let r be ((-4)/(-1))/(8/6). Suppose -129 + 18 = -r*t. Is t a composite number?
False
Let v(z) = 62*z**2 - 7*z - 6. Let d be v(-6). Suppose -2*s - 3*b + b = -1138, -4*s + 4*b = -d. Suppose -s - 78 = -2*a + 4*t, 0 = -4*a + 2*t + 1280. Is a prime?
False
Let f(n) = 16*n**3 + 2*n**2 - 3*n + 2. Let r be f(2). Let q = -75 + r. Is q a prime number?
False
Let c(u) = 3*u**3 - u**2 + 2*u - 1. Let n be c(1). Suppose -n*m - 12 = 0, x - 4*m - 941 = 178. Is x a composite number?
False
Suppose 3*p + 4*w = -11, w = 3*p + 1 - 15. Suppose -p*h = -4*h + 3. Suppose 0 = h*t - 358 + 103. Is t a prime number?
False
Let u be -13 + (1 - -1) + 3. Let i = -10 - u. Is 127/(i + 6/2) prime?
True
Let c(t) = 16*t**3 + 2*t**2 + 6*t - 7. Suppose 0 = 15*z - 10*z - 20. Is c(z) prime?
False
Let z(o) = 11*o**2 - 29*o + 88. Is z(-31) a prime number?
False
Let l be (-12)/9*24/4. Let n be l/20 - (-4374)/10. Suppose 5*h - 558 = -3*q, 3*q + 2*h - 130 = n.
|
{
"pile_set_name": "DM Mathematics"
}
|
12. Solve 25 = s*w + 5 for w.
5
Suppose -j = k - 6, 2*j - 5*j + 20 = 4*k. Solve -7*b = -k*b + 15 for b.
-3
Suppose -2*a - 4*c - 16 = -0*a, 5*a - 5*c = 35. Suppose 3*g + 2*o = 6, 3*g + o + a*o - 9 = 0. Suppose 3*b = 8*b - 20. Solve -v + b*v - 15 = g for v.
5
Let y(d) be the first derivative of d**2/2 - 6*d + 3. Let q be y(9). Solve 4*p = 11 - q for p.
2
Let v = -79 + 79. Solve y + y = v for y.
0
Let m = -3 + 5. Let g(v) = v**3 + 7*v**2 + 5*v - 1. Let w be g(-6). Solve -k - w = -m*k for k.
5
Let k(j) = 3*j**2 + 3*j - 3. Let n = 4 + -2. Let o be k(n). Suppose -o = -3*z - 0*z. Solve z*i = 2*i - 12 for i.
-4
Let w be (-3 - (-3 + 0))/(-2). Solve -5*i - 7 - 3 = w for i.
-2
Let y be 4/6*(-63)/(-14). Let d = y - -6. Solve -2*a = d - 3 for a.
-3
Let r = 7 - 4. Solve -b - r = -5 for b.
2
Suppose 1 = -4*q + 2*q - x, -2*q - 3*x + 1 = 0. Let u be 1*6 + (-3 - q). Solve s - u = -0*s for s.
4
Let u = -34 - -34. Solve u = v + v for v.
0
Let v be (4/3)/((-4)/30). Let z = -6 - v. Let n(u) = -u**2 - 2*u + 1. Let p be n(-2). Solve -21 = z*k - p for k.
-5
Suppose 4*d - 30 = -d. Suppose 6*a + d = 7*a. Solve -a*w = -2*w for w.
0
Let y(w) = -w**2 + w + 16. Let f be y(4). Solve 9 = f*g - 3 for g.
3
Suppose 2*y + s + s - 6 = 0, -y + 2*s + 3 = 0. Suppose -2*f + 7 = y. Solve f*o + 2*o = 4 for o.
1
Let j(m) = -m + 6. Let t be j(6). Suppose -c = 3, t = r - c - 1 - 6. Solve n + n + r = 0 for n.
-2
Let i = 4 + -2. Suppose -5*b = -z - 6, -4*b + 2 = -i. Let f be (-3 + (2 - 4))/z. Solve -1 = -h - f for h.
-4
Let h(i) = i**2 - 6*i + 8. Let g be h(5). Suppose -4*j + 20 = 8. Solve 0 = -2*r + j*r - g for r.
3
Suppose -z + 21 = 2*z. Let p be 2/z + (-6)/21. Let u = 2 - p. Solve n + u - 3 = 0 for n.
1
Let f(i) = 2*i - 3. Let t be f(4). Suppose -3*w + 2 + 7 = 0. Let d = t - w. Solve v - 3 - d = 0 for v.
5
Let v be 2 - (-5 - -4) - 0. Solve k + 2 = -v for k.
-5
Let y(m) = -m**3 - 6*m**2 + 6*m - 4. Let t be y(-7). Solve 2 = t*l - 7 for l.
3
Let a = 0 + 27. Solve -7 = 4*t - a for t.
5
Suppose 2*k - 28 = -3*k - 3*a, -a = -1. Suppose -5*q = k - 25. Solve -q = 2*m - 0 for m.
-2
Let f(t) = 20 - 20 - t**2 + 2*t**2. Suppose -23 = 4*q + 4*k + 9, 3*q + 2*k + 20 = 0. Let r be f(q). Solve 5*z + r = -4 for z.
-4
Let f(s) = -s**3 + 6*s**2 + 6. Let h be f(6). Suppose b + h*u = 2*u + 24, 0 = -3*b + u + 7. Solve p + b*p = -10 for p.
-2
Let r = 20 + -16. Solve r*q = -0*q for q.
0
Let i(o) = o. Let j(m) = 3*m - 11. Let q(w) = 4*i(w) - j(w). Let l be q(-6). Let c be (-1 - (2 - 2))*-19. Solve -4 = l*h - c for h.
3
Let v(g) = -4*g - 4. Let t be v(-6). Suppose 0 = -d - 4*b + t, 0*d + 2*d - 5*b = 1. Suppose 2*a + d = 6*a. Solve a*c - 4 = -2*c for c.
1
Suppose -3 = 2*a + 17. Suppose -4*c = -7*c - 21. Let t = c - a. Solve k - t = -6 for k.
-3
Let u(q) = 6*q**2 - q + 1. Let s be u(1). Suppose s*x - 12 = 2*x. Suppose i = x*h + 1 + 2, h = 3*i - 9. Solve d + 3*d = h for d.
0
Let o(v) = -v + 13. Let z be o(11). Solve z = -j - 2 for j.
-4
Suppose -15 = -0*z - 5*z. Suppose o = -k + 14, 3*k - 32 = -4*o + 12. Let d = -7 + k. Solve z*w + d = 4*w for w.
5
Let i(y) = -y**2 + 2*y + 3. Let n be i(3). Let q be (2 - (n + 3))*0. Solve 2*w = -q*w - 6 for w.
-3
Suppose -4*i + 8 = 0, 17 = -4*d + d + i. Let x be ((-18)/(-45))/((-1)/d). Solve -x*b - 4 = -3*b for b.
4
Let j(w) = 3*w + 0*w**2 - 5*w**2 + w**3 - 7 + w**2 - 6*w. Let o = 7 - 2. Let q be j(o). Solve q*k = k + 8 for k.
4
Suppose -3*k - 5 + 30 = -4*m, -4*m = -k - 5. Solve -k = 5*a + 10 for a.
-5
Let r = 212 + -208. Solve 0 = r*x - 3*x for x.
0
Suppose 2*d + d = 4*o - 12, 2*o - 6 = -4*d. Suppose o*t - 12 = -0*t. Suppose 6*z - 4*z - 40 = 0. Solve t*q + q + z = 0 for q.
-4
Let j be 4 - (0/3 - 0). Suppose -5 = j*y - 17. Solve n - 20 = -y*n for n.
5
Suppose -3*k + c = -23, 2*c = -2*c + 4. Solve 8*m = 4*m - k for m.
-2
Suppose -d + 23 = -t - 5, t - 116 = -5*d. Let h be (d/16)/((-3)/(-2)). Solve 4 = y - h for y.
5
Let z(i) be the third derivative of i**6/120 + i**5/6 + 5*i**4/12 + 3*i**3/2 + i**2. Let a be z(-9). Solve -4*x + 4 = -a*x for x.
1
Suppose -2*v + 6*v - 12 = 0. Solve -1 = -v*w - 16 for w.
-5
Let v be (-4 + 3)*(-2)/1. Solve 0 = -2*d - v for d.
-1
Suppose 0 = -2*f - 2*f + 4. Let d be ((-1)/f)/(4/(-20)). Solve d*i + 40 = 15 for i.
-5
Let h(b) = -b**2 + 11*b - 11. Let l be h(9). Solve u + l = 2 for u.
-5
Let a = -15 - -9. Let v be (a/(-4))/((-2)/(-8)). Solve -2*f + 0 = -v for f.
3
Suppose y = 4*t + 1 - 3, -y - 2 = 0. Let i be 4/2 + t/(-1). Suppose -5*z = -86 + 11. Solve -3*a + z = i*a for a.
3
Let m(r) = -r - 14. Let w be m(-11). Let u be 0 + w + (-5 - 0). Let g = 15 + u. Solve -a = -g + 2 for a.
5
Suppose -30 = 3*k + 2*k. Let x(h) = h**2 + 8*h + 4. Let m be x(-5). Let w = k - m. Solve -4*g + 3 = -w for g.
2
Let d(x) = -5 + x**2 + 2 + 1. Let u(y) = y**2 - y - 1. Let s(w) = -3*d(w) + 4*u(w). Let v be s(4). Solve -6*h = -v*h + 4 for h.
-1
Let t be 72/45 - 4/(-10). Let g = -7 - -17. Suppose 2*v - 5*n - g = 5*v, -5*v + n + 2 = 0. Solve 4*a - 2 - t = v for a.
1
Let v(r) = r**2 - 8*r - 7. Let g be v(8). Let a be (-2)/(-7) - 75/g. Solve -3*s = -1 - a for s.
4
Let f = 14 - 10. Suppose -4 = -f*m + 2*m. Solve 0 - 2 = m*d for d.
-1
Let y be (3 + -8 + 3)*-3. Suppose v + 4*v = 2*f - 30, 5*f + 2*v - 17 = 0. Solve 9 = f*s - y for s.
3
Suppose -100 = -4*q - 16*q. Solve -13 = -q*i + 12 for i.
5
Suppose 8 = 4*q, -c + 3*c - 3*q = -12. Let l be (-2 + c)*4/(-5). Solve -l*m + m = -12 for m.
4
Let r be -2 - (22/1)/(-2). Let o be -27*(-6)/r - 0. Solve -5*p + o + 7 = 0 for p.
5
Let j(b) = -b + 4. Let a be j(2). Let i(n) = n**3 - 9*n**2 - 9*n - 8. Let m be i(10). Let c be (1 - -4)*m/5. Solve -a*g = c*g for g.
0
Let k(s) = s - 1. Let g be k(5). Suppose -3*a + 2*h = -3, -2*a + g*h - 3 = -5*a. Let q(x) = -x**2 - 4*x + 1. Let f be q(-3). Solve 0 = y - f - a for y.
5
Suppose 3*l - 17 = k, -3 = 5*l - 4*l + 4*k. Suppose -l*s + 5 = -5. Solve -3 = s*u + u for u.
-1
Let a(k) = -k**3 - 4*k**2 - k - 3. Let h be a(-4). Suppose -3*y - d + 3 = -0*d, 5*y = -3*d + 1. Let n be ((-4)/h)/((-1)/y). Solve -2*o - n + 2 = 0 for o.
-3
Suppose -3*n + n = -4. Suppose 5*l - n = 4*l. Suppose -5*c + l*s + 28 = s, -c - 2*s + 10 = 0. Solve 12 = -2*i + c*i for i.
3
Let q be ((-1)/2)/(-1)*0. Let s be ((8*-1)/4)/(-2). Let p be 17/(-34)*(s + -1). Solve q*r - r = p for r.
0
Let b be (-4)/(-66)*3 - 8/44. Let z be 0 - (3*2)/(-1). Solve b = q - z*q for q.
0
Let o be (-3 + 1)/((-2)/5). Let m = o - 3. Solve -m*l = -5*l for l.
0
Suppose 0 = -8*s + 2*s + 108. Solve 0 = -4*x + s - 6 for x.
3
Let w be ((-8)/1)/(-42 - -41). Solve 4*c - w*c = -8 for c.
2
Suppose 43 = 4*s + 5*w, s = -4*w + w + 16. Let g(k) = -k**2 + 6*k + 10. Let n be g(s). Solve -10 = x - n*x for x.
5
Let p(a) = -a - 2. Let d be p(-12). Let m(f) = -f**3 + 11*f**2 - 11*f + 15. Let n be m(10). Let s be 1*(-2)/2*-5. Solve d = -s*o - n for o.
-3
Suppose -w = -0*r - 5*r - 2, 0 = -5*r - w + 2. Suppose 4*x + r*x - 5*o - 70 = 0, 5*x = -4*o + 108. Solve 4*j - 9*j = -x for j.
4
Suppose 3*v + 3 + 1 = 2*d, 0 = -v + 2*d - 8. Let c be (5 + -3)*(v + 1). Suppose 2*w + 4 = -o, 0 = -5*o + 2*w - c*w + 4. Solve o*p + 5 + 7 = 0 for p.
-3
Suppose -5 - 3 = -4*c. Solve 3*u = 2*u - c for u.
-2
Let k be (-1)/(((-1)/(-1))/(-23)). Let b = 3 - k. Let x be ((-48)/b)/(6/20). Solve 8 = 4*g - x for g.
4
Let o(v) = -v**3 - 5*v**2 - 2*v - 5. Let p(d) be the first derivative of -d**2/2 - 10*d - 1. Let a be p(-5). Let l be o(a). Solve -w + 0*w - l = 0 for w.
-5
Suppose -j - 9 = -b, -5*j - 33 = -0*j + b. Let r = j - -11. Solve -5*t = -r*t for t.
0
Let b(n) = 2*n + 1. Let k be b(3). Suppose 5*f + 8 = -k. Let a = 1 - f. Solve a + 0 = g for g.
4
Suppose l - 5*l = -12. Suppose -l*u + 15 = 3. Solve u*w - 6 = 2*w for w.
3
Let q(t) = -2*t - 1. Let w be q(-6). Suppose -5*o - 24 - w = -3*a, 5*a = -3*o + 13. Solve -a*z = -13 - 2 for z.
3
Let t(u) = -u - 4. Let a be t(-4). Let n(c) = -3*c - 12. Let p be n(-4). Solve p = 4*o - a*o for o.
0
Let m(h) = h**3 + 16*h**2 - h + 9. Let r be m(-16). Solve -6*k = -k - r for k.
5
Let r be 6/10 + (-6)/10. Solve 5*u + r*u + 20 = 0 for u.
-4
Let g be ((-1)/1)/(2/(-4)). Solve g = -2*t - 2 for t.
-2
Suppose -7*k + 10*k = 0. Suppose 5*c - 3*o - 2*o = k, 2*o = 6. Solve c*n = -n for n.
0
Let a(x) = -x**2 - 8*x - 10. Let n be a(-7). Let q be 0/(n/((-9)/6)). Suppose -b + 11 = b - h, -2*b + 4*h + 20
|
{
"pile_set_name": "DM Mathematics"
}
|
0)/24180
1/31
What is ((-4160)/600)/(-26)*(-12)/(-16)?
1/5
Evaluate (-3)/(-7)*-150*217/(-732375).
2/105
What is -4*85/(-160) + (78 - 34)/(-44)?
9/8
(-14)/3 + 2 - (-32340)/6930
2
What is (-24)/(-40)*858/(-234) - 0?
-11/5
Evaluate (-931)/42 + -6 + (-10)/(-4)*(-3220)/(-12075).
-55/2
What is the value of (-1 + 0 - -9)/(277 - 283)?
-4/3
Calculate (15/9 - (1578/(-297) - 1)) + 56/(-7).
-2/99
What is 440 + -430 + -9*(-4)/60*(-222)/9?
-24/5
Calculate -8 + 38 - 209/19.
19
What is the value of (-1106700)/49980 - (-8)/7?
-21
3/63*-3 - (257/14 - (-51)/(-102))
-18
Evaluate ((-222)/(-42))/((-1311)/(-9177)).
37
What is the value of (-10461737)/(-183634) + (-3)/(-102)?
57
Calculate (-12)/272*-4 - 213000/(-3621).
59
What is ((-1332)/(-132))/((-15)/(-95)) - (-30)/330?
64
What is the value of (54/21 - 2)/(13/(-1) + 22820/(-980))?
-2/127
What is the value of 1 - 2 - 1*-11 - (58 - (-41 - -80))?
-9
56*98/(-4116)*1*-21
28
What is 360/(-56) + 1496/28?
47
What is the value of (-36)/(-66) + (4 - 17808/462)?
-34
What is (-60)/(-2025)*(-2754)/510?
-4/25
What is the value of 200*(-121)/968*1/1 + 23?
-2
((-14)/(-4))/(27 + (-67 - -42))
7/4
What is ((-221)/6409)/(0 + 4)?
-1/116
What is (61 - 18 - -119)/(-1 - 1)?
-81
Calculate ((-14)/(-60))/((-6297)/(-20990)).
7/9
(-108300)/(-5415) + 1 + 10 + 0
31
What is (448/48)/((-48)/72) + 5/(-10)*196?
-112
What is (-387*(-21)/(-189))/(3 - 4)?
43
What is (791/(-84)*6)/(182/(-156)*9/(-21))?
-113
Evaluate (-67 - -25) + 44 - ((-148)/(-52) + -1).
2/13
What is 10 + (-24)/(-2) + 257/(-11)?
-15/11
Calculate (-2654)/(-31848)*0/(-2).
0
(50362/2535 - (-2)/(-3))/(9/(-30))
-64
(-418)/715*-15 - (26 + -6 - 11)
-3/13
What is (56 + (-49734)/891)/(4/1496)?
68
What is 1600/(-16) + (-99974)/(-518)?
93
Evaluate -1 + (-1)/3 + (-207835)/3165 + 1 + 32.
-34
((-6)/(-27))/(20 + ((-9152)/39)/16)
1/24
What is the value of (-18 + 170*(-310)/(-2925))*27?
6/13
What is the value of (-1)/12 + 320/20 + 16/((-576)/573)?
0
Evaluate (((-975)/(-1400))/13)/(4/(-160)*6).
-5/14
(-16)/80 + 8/(-35) + 62883/(-959) + 13
-53
Evaluate 0 + -19 + 1492 + -1460.
13
What is (-15)/6 + ((-580)/(-40) - 11 - (-28)/(-38))?
5/19
What is (-4074)/696*(285 - 305) + 6/(-87)?
117
What is the value of (-7074)/(-393) + 0 + -5 + (-286)/39?
17/3
What is (-104)/(-50) - 17606/220075?
2
What is the value of (-22)/14 + 1593108/997920?
1/40
(1 - -2) + 1333/124 - 4 - 24/3
7/4
Calculate ((171/1938)/((-136)/(-32) + -5))/6.
-1/51
52*((-8)/(-40))/(-1 - (-6)/10)
-26
Evaluate (11/(-18))/((-20295)/(-7380)).
-2/9
Evaluate (-9)/(-5) + (-29120)/(-2600) - 17.
-4
86/(-9245)*((-14)/12)/(-1)*(-35)/49
1/129
What is the value of (0 + (-2356)/209)*(-4)/(64/(-88))?
-62
What is the value of (2570/(-50) - -40)*(-2)/6 + -2?
9/5
Evaluate (-1)/(-133) + 400138/7847.
51
Evaluate (12/(-5) - -4) + 14852/18565.
12/5
Evaluate ((-136)/1700)/(8/760).
-38/5
7092/79785*((-1)/36)/((-3)/(-30))
-2/81
What is the value of -96 + 99940/1045 + 62*4/198?
8/9
What is (224/(-18) - -13)*(-15)/(600/16)?
-2/9
Evaluate (412 - 420) + (-10 - 5).
-23
Evaluate ((-2)/5)/((-224)/(-960))*23/(1334/(-609)).
18
Calculate (-266)/(-1197)*(-19 + 13)*147/(-4).
49
What is the value of (-520800)/12705 + 9/(-1089)?
-41
((3/(-8))/((-48)/(-352)))/(6/72)
-33
What is (1775/(-1065))/(2/(-42))?
35
What is the value of (-6 + (-490)/(-81))*288/192?
2/27
What is the value of (-240)/(-52)*(-4953)/(-762)?
30
What is the value of (-4)/106 + ((-64916308)/(-306181) - 212)?
-2/109
Calculate (-7471)/67239*(-2)/(1*4/(-68)).
-34/9
What is the value of 2*(-158)/4 - (163 + 180 + -318)?
-104
((-16)/16)/((108/8 - 9) + (-3 - 1))
-2
Evaluate ((-56)/24)/((-8211)/(-207621)).
-59
What is 109515/(-41720) - (-534)/(-16)?
-36
Evaluate (1/4)/((-707)/(-2552) + 6*1/(-22)).
58
What is (36/10)/((-8)/(-20)) - (4547 - 4530)?
-8
Evaluate (5/((-50)/207))/((-1512)/(-35) + 798/(-19)).
-69/4
2509 + -2392 - 3/(2*(-6)/8)
119
What is the value of (2/(-3))/(240/(-270)) + 308/(-112)?
-2
Calculate ((-1854)/19467)/(24*2/140).
-5/18
What is -49 + 0 - (1277 + -1312)?
-14
What is ((-3616)/96 - -31) + (-2)/(-12)*1 + 5?
-3/2
What is the value of (10/110)/((-6)/(-11))*(-532)/1463?
-2/33
What is the value of (13/8)/(645/2064)?
26/5
Evaluate (5/25)/((272 - 271)/((-1*15)/3)).
-1
Calculate 14/16*57*(-18)/(-1197).
3/4
What is 53*(3 - -5 - (-2 + 13 + -4))?
53
(-5592)/2310 + 16640/7040
-2/35
(-1628868)/(-13665) + 76/20
123
What is the value of (-111)/57405 + (-193)/(-17177)?
2/215
What is the value of -388 - -374 - (-350)/(-12) - (-7 + 3)/24?
-43
What is (1/20*6)/(-99 - (-33972)/380)?
-1/32
((6/(-8))/(18/72))/(-1278*1/(-4))
-2/213
What is (3894/59)/(((-32)/24)/((-4)/(-6)))?
-33
What is (-280)/238 - 1179026/(-1040060)?
-3/70
What is (-245)/(28420/17168) + 207?
59
Evaluate -10 - ((-1745920)/1581)/110.
2/51
Evaluate 45 + 5 + (-1 - 1488/(-528))*33/6.
60
What is -58 - 14 - (-10004)/82?
50
What is (3/(30/(-40)))/(-8 - (-5184)/656)?
41
Evaluate 3/150 - 714/7140.
-2/25
What is the value of 38 + 8056/(-76) + 50?
-18
Evaluate 637/21 + (31 - 63).
-5/3
What is the value of ((-6)/44)/((-60210)/(-220770))?
-1/2
Evaluate -18 - -11 - -9 - (5 + (-119)/49).
-4/7
Evaluate ((-362417)/2103)/(66/36).
-94
Evaluate (174 + 0)*((-252)/504)/(-7 + 8).
-87
2/9 - (1/14 + 1100196/(-13608) + 72)
9
What is (17220/450 + -38)/(600/(-153) + 4)?
17/5
Calculate 544628/(-7420) + 51/15.
-70
Calculate (-409833)/3177 - 14576/(-113).
-1/113
Evaluate (8/(-120)*-18)/(354/(-1475)*(-30)/9).
3/2
What is the value of ((-10)/(-54))/((-118)/((-492768)/435))?
16/9
What is 303/(-1515)*(-115)/(-3)?
-23/3
What is the value of 194/1649*(-51)/6?
-1
(28/(-36) - -1) + ((-4)/7)/(6120/16660)
-4/3
What is (120205/(-1972) - -61)/(9/(-2))?
-1/102
What is (1/((-3474)/6))/(-17 - (72615/90)/(-47))?
-2/193
(168/(-49))/(456/(-5586))
42
Evaluate (-16)/(-2) + (-1*26/104 - 205/(-4)).
59
Calculate (8 + -16 + 8)/(12 - 18 - -3).
0
7/(-126) + 94605/2862
33
(20 + (-15958)/707)/(4/(-364)*3)
78
Calculate (93/(-6))/((-2851)/(-5702)).
-31
What is (-7147)/(-84) - (-6)/20*23/(7866/(-95))?
85
(1107/615)/(261/(-580))
-4
12/(-32)*((-212)/5 - -12)
57/5
Calculate -16 + (-318)/(-18) - 129/81 - 7904/2457.
-22/7
What is (-11872)/17808*(-1)/(-2)?
-1/3
What is the value of (4 + (16 - (35 - 25)))*(-1)/4?
-5/2
Calculate (-1)/(-1 + 5122/5183) - (-41490)/1265445.
85
What is the value of 2/(-18) - (2 - 0)*2*105/(-4860)?
-2/81
Evaluate (4 - (12/(-9) + 2))*5/((-825)/4554).
-92
(-4*1/(-22))/((-7)/(-28) + (-89)/1958)
8/9
Evaluate (54 - 1520/28)*7.
-2
Calculate 446/10 + 2/8*(-38116)/3665.
42
What is the value of (3696081/218)/267 + -48?
31/2
Calculate (3024/192*(-20)/(-30))/(5/(-2) + 1).
-7
Calculate 5746/(-13182) - 18/(-42).
-2/273
-2 - (-740)/(-555)*10/(-12)
-8/9
What is 292/511 + (-12346)/17220 - (-172)/1290?
-1/82
Calculate (1 - (-39)/(-45))*(-76)/(-399)*-70.
-16/9
Calculate ((-567)/5166)/(9/4).
-2/41
-7*(-1)/(-30)*1/(15 - -5 - 6)
-1/60
(-286057)/(-6977) + 654/(-16) - 1*(-222)/16
14
Evaluate (-56)/(-57) + 84/(-266).
2/3
What is the value of ((-6195)/118)/(-21) + 67/(-2)?
-31
25542/613008*1*(27 - -1)
7/6
What is the value of 24 + -61 + 36 + 56 + -35?
20
What is the value of 9 - (312/(-160) + 7 + 23/(-460))?
4
What is the value of (43000/(-6450))/((-3)/(-36)*-10)?
8
4/((-20)/55) - (132/(-462) - 258/28)
-3/2
What is (8/12 - (-80)/(-12)) + (55 - (14 - 41))?
76
Evaluate 270/39 + (153 - 158 - 132/(-26)) - 24.
-17
Calculate (-262)/7 - (-708 + 707)/((-21)/12).
-38
(16/(-2))/((-932)/(-3728))
-32
Evaluate (12 - 810/72)*(8 - 480/63).
2/7
Evaluate 14898/141722 + 4/53*4/8.
1/7
Calculate (-7)/((-1225)/1930) - (8/44 + 476/44).
1/35
What is (43 - 66) + -19 + -27 + 13?
-56
What is (38 - 3) + -77 + (-15921)/(-183)?
45
Calculate 1 - -6*250/(-1350) - (-619)/(-99).
-70/11
What is (-40)/(231 - 71) - ((-2)/5 - 1895/700)?
20/7
Evaluate (-16)/48 + (-95)/(-57)*(-40)/50.
-5/3
Evaluate 188/(-28717)*169/26.
-2/47
Calculate 9/108 - ((-172)/301 + (-2)/(2856/(-1271))).
-4/17
(-409598)/12047 + -1*(8 + (-2)/2) - -9
-32
(-3)/2*(-4780)/(-1434)
-5
Calculate 6025/(-723)*((-126)/(-30) + 2/(-2) + -2).
-10
(74/13)/((-2868)/52 + 55)
-37
Calculate (-92)/6*-54*74/3996*3.
46
What is the value of (-2)/(-22) - (-20)/(5940/14823)?
50
Evaluate ((-16107)/52)/(-59)*(-2 + 58/3).
91
39 - (-252)/(-1080)*185
-25/6
What is (262/393)/(26/(-2379))?
-61
Evaluate (-1)/4 + 0 + 22*1375/8
|
{
"pile_set_name": "DM Mathematics"
}
|
g. What is prob of sequence vguv?
1/728
Calculate prob of sequence pcc when three letters picked without replacement from {c: 3, p: 11}.
11/364
Two letters picked without replacement from {w: 1, j: 3, k: 5, i: 1, v: 3}. Give prob of sequence vv.
1/26
Calculate prob of sequence txt when three letters picked without replacement from jrxxbxtxjtrjxx.
1/182
Two letters picked without replacement from {l: 1, e: 1, k: 1, i: 1, t: 1}. Give prob of sequence lt.
1/20
What is prob of sequence www when three letters picked without replacement from {q: 1, w: 3}?
1/4
Calculate prob of sequence xz when two letters picked without replacement from xxxzzzzzzzz.
12/55
What is prob of sequence fww when three letters picked without replacement from fwfsfswsffwwwwssfwf?
49/969
Two letters picked without replacement from {r: 4, b: 2, a: 1}. Give prob of sequence ba.
1/21
Calculate prob of sequence wg when two letters picked without replacement from wawtwgwwggwgtgxwgw.
8/51
Three letters picked without replacement from alxuylg. Give prob of sequence yyx.
0
Four letters picked without replacement from {o: 2, h: 1, e: 1, a: 1}. What is prob of sequence oeah?
1/60
Two letters picked without replacement from zmhhpzphhzzzp. What is prob of sequence pz?
5/52
Calculate prob of sequence pxxl when four letters picked without replacement from {p: 4, x: 3, l: 7}.
1/143
Four letters picked without replacement from {c: 1, f: 1, n: 1, t: 4, b: 4}. Give prob of sequence ntbc.
1/495
What is prob of sequence mxmx when four letters picked without replacement from xmmmmxx?
3/35
Three letters picked without replacement from {e: 3, z: 1, q: 5, c: 3, g: 1}. Give prob of sequence qge.
5/572
Calculate prob of sequence oo when two letters picked without replacement from otoooootto.
7/15
What is prob of sequence jh when two letters picked without replacement from hhjjhjbhjhhhhbjb?
1/6
Four letters picked without replacement from yxeyxegbexbyggbbxeg. Give prob of sequence gggb.
1/969
What is prob of sequence dddd when four letters picked without replacement from mhhdmmmd?
0
Calculate prob of sequence igi when three letters picked without replacement from aahmaimmeiegma.
1/1092
Three letters picked without replacement from {g: 2, o: 2, a: 5}. Give prob of sequence oog.
1/126
Calculate prob of sequence mh when two letters picked without replacement from {m: 1, i: 8, h: 8}.
1/34
Four letters picked without replacement from {b: 4}. Give prob of sequence bbbb.
1
Two letters picked without replacement from pothprox. Give prob of sequence px.
1/28
What is prob of sequence wov when three letters picked without replacement from wzqvbvboo?
1/126
What is prob of sequence vmxx when four letters picked without replacement from xvvxvvvvmmvf?
7/2970
What is prob of sequence pppf when four letters picked without replacement from {f: 11, p: 9}?
77/1615
Two letters picked without replacement from llllhllllllllllllll. What is prob of sequence hl?
1/19
Four letters picked without replacement from {m: 3, j: 1, g: 13}. Give prob of sequence mgmj.
13/9520
Calculate prob of sequence wl when two letters picked without replacement from {l: 2, w: 5}.
5/21
Two letters picked without replacement from tddgtddgddddddgwtgd. What is prob of sequence gg?
2/57
Calculate prob of sequence cmz when three letters picked without replacement from {u: 3, z: 1, o: 2, c: 1, m: 4}.
2/495
Four letters picked without replacement from qqqvvqqqqvqqvq. What is prob of sequence vqqq?
120/1001
Calculate prob of sequence lgj when three letters picked without replacement from {b: 5, l: 2, j: 1, m: 8, g: 1}.
1/2040
Two letters picked without replacement from {a: 2, k: 3}. Give prob of sequence aa.
1/10
Three letters picked without replacement from ozznanazaznzozalzn. What is prob of sequence azl?
7/1224
Three letters picked without replacement from {i: 5, m: 9}. Give prob of sequence mim.
15/91
Three letters picked without replacement from {u: 2, m: 1, s: 1, j: 1, y: 2}. Give prob of sequence yuu.
2/105
What is prob of sequence il when two letters picked without replacement from xxmlxxxzxziz?
1/132
What is prob of sequence rgrc when four letters picked without replacement from {l: 1, c: 1, r: 2, k: 1, g: 2}?
1/210
Calculate prob of sequence mmm when three letters picked without replacement from mmmm.
1
Four letters picked without replacement from yyyyeyyyeeyeyyyyyy. What is prob of sequence eeyy?
91/3060
Calculate prob of sequence pu when two letters picked without replacement from pvpwiypviuyi.
1/44
Four letters picked without replacement from {k: 3, u: 1, s: 1}. What is prob of sequence ukks?
1/20
Calculate prob of sequence lll when three letters picked without replacement from qlqwqqwqlwwlq.
1/286
What is prob of sequence mbq when three letters picked without replacement from {k: 1, m: 1, q: 2, b: 10}?
5/546
What is prob of sequence jkjk when four letters picked without replacement from jkjjjkjjkj?
1/20
Two letters picked without replacement from eiddddeie. Give prob of sequence ie.
1/12
What is prob of sequence kx when two letters picked without replacement from {x: 2, k: 1}?
1/3
Two letters picked without replacement from {o: 1, f: 1, q: 3, x: 1, l: 1}. Give prob of sequence xq.
1/14
Three letters picked without replacement from {k: 1, g: 3, v: 6, f: 4}. What is prob of sequence gff?
3/182
Three letters picked without replacement from ahqhhahqdhqshqh. What is prob of sequence aha?
1/195
Two letters picked without replacement from phhhppphphhghphhg. Give prob of sequence gp.
3/68
Calculate prob of sequence wzg when three letters picked without replacement from omzomozzwg.
1/240
What is prob of sequence du when two letters picked without replacement from {u: 2, a: 1, d: 1, p: 1, r: 1, l: 1}?
1/21
Calculate prob of sequence ll when two letters picked without replacement from {l: 1, x: 1, q: 2, t: 2}.
0
Two letters picked without replacement from eddqwqzqqqeqe. What is prob of sequence zd?
1/78
Three letters picked without replacement from vffvefefefefvve. What is prob of sequence eff?
5/91
What is prob of sequence nql when three letters picked without replacement from {l: 3, d: 1, a: 3, p: 4, n: 1, q: 3}?
3/910
Four letters picked without replacement from ggsg. What is prob of sequence gggs?
1/4
Two letters picked without replacement from {s: 2, j: 16}. What is prob of sequence js?
16/153
Three letters picked without replacement from {e: 3, a: 1}. Give prob of sequence eae.
1/4
What is prob of sequence dk when two letters picked without replacement from kbyhkmd?
1/21
Three letters picked without replacement from {v: 3, o: 1}. What is prob of sequence vvv?
1/4
Two letters picked without replacement from eeseees. Give prob of sequence se.
5/21
Calculate prob of sequence kz when two letters picked without replacement from {z: 3, k: 2, v: 4}.
1/12
Calculate prob of sequence hg when two letters picked without replacement from {g: 2, h: 3}.
3/10
Calculate prob of sequence ll when two letters picked without replacement from {h: 1, o: 1, l: 2, s: 2, f: 1}.
1/21
Calculate prob of sequence igii when four letters picked without replacement from gigiiigiiiiiig.
120/1001
Two letters picked without replacement from vvovbvvovv. What is prob of sequence vo?
7/45
What is prob of sequence cb when two letters picked without replacement from zzbcczzbczczzjcccczc?
9/190
Three letters picked without replacement from dojmjji. What is prob of sequence ioj?
1/70
Calculate prob of sequence ufoi when four letters picked without replacement from crfiioocorcufcu.
1/1365
What is prob of sequence oo when two letters picked without replacement from ooooo?
1
Calculate prob of sequence ooo when three letters picked without replacement from ddddddddddddddo.
0
Four letters picked without replacement from {w: 2, p: 5, j: 12}. What is prob of sequence ppjw?
5/969
Calculate prob of sequence gm when two letters picked without replacement from ammmagmvm.
5/72
Calculate prob of sequence lb when two letters picked without replacement from glfbnrbnl.
1/18
Three letters picked without replacement from fcxblfwx. Give prob of sequence bxl.
1/168
Calculate prob of sequence zzuu when four letters picked without replacement from {u: 10, z: 4}.
45/1001
Two letters picked without replacement
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(252) + -1*sqrt(252) - (sqrt(700) - sqrt(700)*-1))*-6 + 1.
-3*sqrt(5)/14 + 1
Simplify (sqrt(300) - -2*sqrt(300))/(sqrt(54)*-1) - (sqrt(50) + -3 - -3*sqrt(8)/sqrt(4)).
-13*sqrt(2) + 3
Simplify 3*(5*(0 + sqrt(475)) + -3 + -2*sqrt(475))**2*2*4*-5.
-514080 + 10800*sqrt(19)
Simplify (-4*(sqrt(130) - (sqrt(130) - (sqrt(130) - (1*sqrt(130) - sqrt(130)))*-4))*4)/(sqrt(120)/sqrt(1200)*-4).
-160*sqrt(13)
Simplify (-1*(3*sqrt(1694)*-3)/(sqrt(1008) + sqrt(1008) + (-6*-3*sqrt(1008) - sqrt(1008))))**2 + 0.
1089/2888
Simplify -2*4*(-2 + ((5 + 4 + -1*sqrt(7))**2 - (sqrt(7)*1*3 + -5))).
-728 + 168*sqrt(7)
Simplify 5*(0 + sqrt(45)) + sqrt(80)/sqrt(4) + -5 + sqrt(80)*-1 + -2 + 2 + 4.
-1 + 13*sqrt(5)
Simplify (sqrt(2) - (sqrt(2) + -1 + -3)) + (sqrt(128)*4 + sqrt(2))**2 + sqrt(2) - (sqrt(22)/((sqrt(825) + sqrt(33))/sqrt(3)) + 1).
5*sqrt(2)/6 + 2181
Simplify 5*(sqrt(400)/sqrt(5) - (1*sqrt(80))**2) + (sqrt(120)/sqrt(3)*6)/(sqrt(384)/sqrt(3) - sqrt(8)).
-400 + 22*sqrt(5)
Simplify (-1*(sqrt(1900) + -1) - 3*(2*sqrt(1900) + sqrt(1900)) - ((sqrt(1900) - (sqrt(1900) + 1))*1 + -2 + (sqrt(1900) - (sqrt(1900) + 0))))**2 + -5.
-800*sqrt(19) + 190011
Simplify (2*(sqrt(6)/(sqrt(8)/sqrt(4)) + sqrt(3) + -1 + sqrt(3) + 1 + -3 + -5)*5)**2.
-4800*sqrt(3) + 9100
Simplify -4 + ((-2 + 1*(1 + sqrt(891)) + sqrt(891))**2 - (-4*-2*sqrt(891)*-3)**2).
-509655 - 36*sqrt(11)
Simplify -1 + -5 + (6*(1*(-5 + 2 + sqrt(75)) + 5))**2.
720*sqrt(3) + 2838
Simplify (5*(sqrt(85)*4*3 + sqrt(85) + sqrt(85)))/((sqrt(50)/sqrt(10)*2 + sqrt(5))*-2) + 2.
-35*sqrt(17)/3 + 2
Simplify 3 + ((sqrt(1900) + 1)*-3)**2 + 5 + -3 + sqrt(1900)*1*4 + (sqrt(1900) - 6*(sqrt(1900) + -1 + sqrt(1900))).
110*sqrt(19) + 17120
Simplify (((-1*sqrt(95) + sqrt(95))*-4)/(-2*sqrt(320)))**2 + -1 + -2 + (sqrt(304) + -2)**2.
-16*sqrt(19) + 305
Simplify 6*(sqrt(1331) + 0)**2*-3 - -3*((sqrt(66) - (sqrt(66)*1 - sqrt(66)))/sqrt(6) - (3 + sqrt(11) + sqrt(44))**2).
-24282 - 51*sqrt(11)
Simplify ((sqrt(119)*-2*1)/(sqrt(567)*2 + sqrt(567)) + (-4*(sqrt(1377) + 1) + 4)**2)*-6.
-132192 + 4*sqrt(17)/9
Simplify (2 + ((sqrt(68) - (0 + sqrt(68) + sqrt(68))) + -5)**2)*-3 + -3*(sqrt(833) + (sqrt(833) + 1 + sqrt(833) + 0)**2 + 2).
-10290 - 165*sqrt(17)
Simplify ((sqrt(84) + (sqrt(84) - 2*sqrt(84)))*4 - -2*((sqrt(84)*2 - sqrt(84)) + sqrt(84) + sqrt(84)))/((sqrt(12) - sqrt(972)*5)*6).
-sqrt(7)/44
Simplify -5*6*((sqrt(104) - sqrt(26))/sqrt(2) + (sqrt(13) + (sqrt(117))**2)*-1 + (-2 + sqrt(13))*4 + -4 + -1*sqrt(13) + sqrt(13)).
-120*sqrt(13) + 3870
Simplify (6*-4*sqrt(3520)*-5)/((sqrt(1331) - 1*sqrt(1331)*-3) + 2*sqrt(1331)*-4).
-240*sqrt(5)/11
Simplify (((sqrt(13) + sqrt(637)*1 + sqrt(208)*5 - (5*(sqrt(1573) - sqrt(1573)*-1) + -5)) + -2)*-4)**2.
-7872*sqrt(13) + 1398736
Simplify 3*(4*sqrt(20) + -1 + (sqrt(60)/sqrt(3) + 2)**2)*-3.
-144*sqrt(5) - 207
Simplify (0 + sqrt(6300))**2 + sqrt(441)/sqrt(7) + -2 - (-4 + (sqrt(252) - (-1 + sqrt(252)*3)**2)).
-39*sqrt(7) + 8571
Simplify (-1*(sqrt(2736) + sqrt(2736)*-3))**2 + sqrt(2736) + -4*sqrt(2736)*3 + -2 + (sqrt(2736) + -3 + 4)**2 + 1.
-108*sqrt(19) + 13680
Simplify sqrt(171) + 4 + 3 + (sqrt(1539))**2 - ((sqrt(2736) - (-4*sqrt(2736) - sqrt(2736))) + 3)*6.
-429*sqrt(19) + 1528
Simplify (((sqrt(24) - 2*sqrt(864)) + (1*sqrt(288) + sqrt(288))/sqrt(12))*3)/(-6*-5*sqrt(800)*-2).
9*sqrt(3)/200
Simplify -4 + 3 + sqrt(425) + -5 + (sqrt(425) + -2)**2 + (2*(sqrt(153)/sqrt(3))/sqrt(3) + 2 + sqrt(68)*-1)**2.
-15*sqrt(17) + 427
Simplify ((4 + 4*sqrt(288))**2*-6 - (sqrt(288) + -1 + sqrt(288) + 2 + 5)**2) + -1.
-28933 - 2592*sqrt(2)
Simplify ((-3*(sqrt(77) + (sqrt(77) - -4*2*sqrt(77)) + sqrt(77)))/(sqrt(1008) - sqrt(1008)*-2*2) + -3)*-5.
11*sqrt(11)/4 + 15
Simplify -5 + ((-4 + 1 + sqrt(684))**2 - (-1 + sqrt(684) + 2))*1*1 + 4.
-42*sqrt(19) + 691
Simplify (5*(-5 + -3 + -1 + sqrt(4032) - (sqrt(4032) + sqrt(4032)*2 + -2)*-2))**2.
-109200*sqrt(7) + 4943425
Simplify 2 + sqrt(228)/(sqrt(432)*-2) - (-5 + 1*sqrt(304))*-4.
-18 + 191*sqrt(19)/12
Simplify ((sqrt(245) + -2)*3 + sqrt(245) + sqrt(245)*3 + -4)**2 - (sqrt(50)*2*5)/(sqrt(160) - -1*sqrt(160))*-1.
-3915*sqrt(5)/4 + 12105
Simplify -2*sqrt(112) + -2 + 1*sqrt(112)*2 + 4 + ((sqrt(7) + sqrt(252))*-5 - 1*sqrt(567)) + 1.
-44*sqrt(7) + 3
Simplify ((-3 + sqrt(2178))**2*-6 - -5*(sqrt(18) - (sqrt(18) - (0 + sqrt(162))**2)))*-5.
-5940*sqrt(2) + 61560
Simplify -1 + ((1 + sqrt(117))*6)**2 + 4 + 0 + 1 + -1.
216*sqrt(13) + 4251
Simplify (-4 + -3*(sqrt(76)*1*3 + (sqrt(76) - (sqrt(76)*1 + sqrt(76) + -2)))*1)**2.
240*sqrt(19) + 2836
Simplify (sqrt(285)/(-3*sqrt(5))*-4)/((sqrt(30)*1 - sqrt(30))/sqrt(10) + sqrt(3) + (sqrt(243) + 2*sqrt(243) - sqrt(243)))*-3.
-4*sqrt(19)/19
Simplify -2*(-3 + (2*sqrt(396) + -3 + sqrt(396) - (sqrt(396) + 1 + -4))**2 + (sqrt(396) + 2 + -1*sqrt(396) + (sqrt(396) - (-2 + sqrt(396)*2)))**2).
-3986 + 96*sqrt(11)
Simplify ((0 + sqrt(612) + sqrt(612) + 1)**2 - (sqrt(612)*-2)**2*3 - (-4 + -1*(sqrt(612) + sqrt(612)*2))**2)*-4.
480*sqrt(17) + 41676
Simplify 1*sqrt(468)*-2 + (sqrt(13) - sqrt(78)/(sqrt(18)/sqrt(3)))*5 - (((sqrt(156)*-2 + sqrt(156))*5)/sqrt(12) + (sqrt(832) + -1 + -5)**2).
-868 + 89*sqrt(13)
Simplify (0 + (0 + (2*sqrt(5) + 5 - sqrt(5)))**2 - (-2 + (sqrt(30)/sqrt(6))**2 - sqrt(40)/(sqrt(8) + 4*sqrt(8))))*-2.
-54 - 102*sqrt(5)/5
Simplify 3*(0 + sqrt(1573)) + -2 + (-1*sqrt(1573))**2 - (0 + (-4*sqrt(1573))**2*3).
-73933 + 33*sqrt(13)
Simplify ((sqrt(132)*-1)/(sqrt(110)/(sqrt(10)*-1)) + ((sqrt(147) - (sqrt(147) + sqrt(147)*-2)) + sqrt(108)*-3)**2)*1.
2*sqrt(3) + 48
Simplify 4 + (-1*5*sqrt(170)*4)/(sqrt(70)/sqrt(112) + (3*sqrt(10)*2 - sqrt(10))).
-80*sqrt(17)/21 + 4
Simplify 3*(5*(((sqrt(121) - sqrt(121)*2) + sqrt(121) + sqrt(121))*6 - 2*sqrt(121)*-2))/((3*(sqrt(77) + sqrt(77)*-2))/(sqrt(7)*2*3 - sqrt(7))).
-250*sqrt(11)
Simplify (-5 + (sqrt(304) + 5 + sqrt(304) + -1 + (sqrt(304) - (-5 + 1 + sqrt(304))))**2 - (-2*(-2 + sqrt(304)) + 0 + 2*sqrt(304)))*-6.
-7626 - 768*sqrt(19)
Simplify (-5 + (-2*(-1*(sqrt(190) - sqrt(190)*3))/(sqrt(250) - (sqrt(250) - (sqrt(250) + -2*sqrt(250))))*6)**2)*-3.
-32457/25
Simplify (-2 + (4 + sqrt(208) + -1)*5)**2 + -3 + -2 + sqrt(208) + -5 + -3.
524*sqrt(13) + 5356
Simplify (5*sqrt(2100)*-1*-1)/((2*sqrt(252)*-2 - sqrt(252))*-3).
5*sqrt(3)/9
Simplify 5*(-1 + 1*(4 + sqrt(39)/(sqrt(24)/sqrt(8)) + -5 + 2 + sqrt(39)/sqrt(3))).
10*sqrt(13)
Simplify 2*(sqrt(2) + -4 + 2*sqrt(2) + sqrt(2) + 3) + -2 + (sqrt(8)/(sqrt(4) - 2*sqrt(4)) - ((sqrt(128)*-1)**2 - sqrt(2))).
-132 + 8*sqrt(2)
Simplify 5 + (-5 + 1 + sqrt(684))**2*4 + 2*(sqrt(684) - (sqrt(684) + 1)) + -4 + (sqrt(684) - (sqrt(684) + 0)**2).
-186*sqrt(19) + 2115
Simplify 3*(-2*(4*((sqrt(132) - 4*sqrt(132)) + sqrt(132)))/(sqrt(300) + sqrt(300) + -4*sqrt(300))*1)**2.
2112/25
Simplify -3 + (-1*sqrt(98) + 5 + -3 + -1*sqrt(98) + 5 + -4)**2*-3.
-1206 + 252*sqrt(2)
Simplify (-1*(-1*(sqrt(363) + 6*(sqrt(363) + 2) + sqrt(363)) + (sqrt(363) + sqrt(363) + sqrt(363)*3 + 0)*-2))**2.
4752*sqrt(3) + 117756
Simplify -1*((5*(sqrt(931) + 0) + sqrt(931) + -2 + sqrt(931)*-2)**2 + ((sqrt(931) + 1*sqrt(931) + 0)**2 - (6*-2*sqrt(931))**2)).
112*sqrt(19) + 115440
Simplify 2 + (sqrt(36)*-1*6*-1)/(sqrt(48)/(sqrt(16)/(sqrt(12)/sqrt(3)))) + -4.
-2 + 6*sqrt(3)
Simplify (3 + sqrt(112)*-1*-3 + (sqrt(112) - sqrt(112)*1)*-1 - (2 + 0 + sqrt(7) + (sqrt(7) - (sqrt(7) + -1)) + (sqrt(343)/sqrt(7))/sqrt(7)))**2.
700
Simplify (sqrt(224)/((sqrt(8)/sqrt(2) - sqrt(4)) + sqrt(4)) - sqrt(56))/(sqrt(1152)*-1) - (3*(sqrt(112) - (sqrt(112) - (sqrt(112) + 4))**2) + 2).
-12*sqrt(7) + 46
Simplify (1*sqrt(425)*-6 - 2*sqrt(425)*6 - (5 + -3 + sqrt(425) + sqrt(425) + sqrt(425)*2 + sqrt(425) + 4))**2.
1380*sqrt(17) + 224861
Simplify -1*(-3*(-1*sqrt(162) + 2) + (1*sqrt(162) + -2)*3)**2.
-5976 + 1296*sqrt(2)
Simplify (0 + 4 + (1 + sqrt(171))*6 + -2)**2*5.
1440*sqrt(19) + 31100
Simplify 1*sqrt(240)/(sqrt(12) + sqrt(12)*2) + (5 + sqrt(320) + sqrt(320) + -1 + sqrt(5)*-1 + 0)**2.
362*sqrt(5)/3 + 1141
Simplify (sqrt(27) - ((sqrt(108) - (1 + sqrt(108))) + sqrt(27)) - (sqrt(27) + (sqrt(54)/sqrt(2))**2*5)) + (5 + sqrt(12)*6*1)**2*5 + -4.
597*sqrt(3) + 2147
Simplify (3 + (-6*(-2 + -2*sqrt(13) - sqrt(13)) + -2 - ((sqrt(637) + 0 + sqrt(637) + sqrt(637))*-2 + sqrt(637))*-4))**2.
-3172*sqrt(13) + 193661
Simplify 3*((-2*sqrt(275) + 5 + -4)**2 + 5 - (-3*(4 + sqrt(275) + 0) +
|
{
"pile_set_name": "DM Mathematics"
}
|
5
Suppose -25 = -5*c, -h = -c + 3 - 2. Suppose 4*l + 3*q + 2*q = 57, 3*q = h*l - 17. Solve 0 = 3*m - m - l for m.
4
Suppose 4*j = 21 - 5. Let c be 8/j - (-1 - -1). Solve -c*r + r = 1 for r.
-1
Suppose 4*h + 212 = 4*g, h + 2*h = 2*g - 101. Let v be g/5 - (-14)/35. Let z = v + 8. Solve 4*j = -0*j + z for j.
5
Suppose 4 = 2*g - g. Suppose -i = i - g. Suppose 4 = d - i. Solve -k + d*k = -10 for k.
-2
Suppose -5*y + 3*c + 11 = 0, 12 = 7*c - 3*c. Solve -25 = y*q + q for q.
-5
Let b(f) = -f**3 - 4*f**2 + 3*f - 6. Let r be b(-5). Let d be (-3)/((-1)/(-8)*-3). Solve -r = -3*y + d for y.
4
Suppose 2*z + 4 = -2*z - 4*l, 4*l = 2*z + 8. Let t = 6 + z. Solve -3*w + 1 = t for w.
-1
Suppose -11*y = -10*y - 4. Solve -4 = -2*k + y*k for k.
-2
Suppose -3*i - 4*q = 14, -5 = 2*q + 5. Suppose x = -2*u + i, 2*u + 0*u + 14 = 3*x. Solve -x*a = -a for a.
0
Let m = -10 + 2. Let o(t) = -t**3 - 8*t**2 - 3*t + 5. Let p be o(m). Solve 5*b = p - 9 for b.
4
Suppose -2*v - 5*l = -5*v - 19, 5*v + 15 = 5*l. Suppose -4*w + 36 = -0*w. Solve -v*u = u - w for u.
3
Suppose -3 = -9*b - 3. Solve b = 4*s + 8 for s.
-2
Let f = 1 - -2. Let v be (12/9)/2*f. Solve 0 = v*z - 6 for z.
3
Let m = -6 + 9. Suppose -12 = -7*n + m*n. Solve -2*b + n*b - 5 = 0 for b.
5
Let p(k) = k**3 - 2*k**2 + 2*k - 2. Let d be p(2). Suppose -2 - 2 = -d*q. Suppose -q*a - 3*a = 0. Solve a = 4*o - o - 12 for o.
4
Let h(v) = 2*v**3 - v**2. Let c be h(1). Let f be (3/1 - c)*1. Solve f = -d - d for d.
-1
Let n(o) = -o**2 + 6*o + 10. Let z be n(7). Solve z*p - 11 = 4 for p.
5
Let c(r) = 2*r - 5. Let o be c(5). Suppose -o*p + 2*n = -18, -4*p - n = n. Suppose t + 2 = 2*d + 7, -3*d + 4*t = 20. Solve d = -g + p - 5 for g.
-3
Let v be 1/(-2)*(1 - 7). Let t(f) = f + 7. Let x be t(-5). Let q be (14 - x) + 0/(-2). Solve 0 = -v*u + 6*u + q for u.
-4
Let q(h) = -11*h**3 - 1. Let j be q(-1). Let o = -7 + j. Solve -3*d + 6 + o = 0 for d.
3
Let z = 35 - 27. Solve -p + 5 = z for p.
-3
Let r(m) = -m - 5. Let s be r(-5). Let g(l) = -l**3 + 7*l**2 - 5*l + 9. Let z be g(6). Solve s = -q - 2*q + z for q.
5
Let j be (-1 - 2) + 0 + 21. Solve 5*h - j = -3 for h.
3
Let q(t) = t**3 - 3*t**2 - t + 1. Let y be q(3). Let c be 0 - -21 - y/2. Suppose -4*f - 3 = 2*l - 29, l - 5*f + c = 0. Solve -5 = l*m + 1 for m.
-2
Let i = -8 + 24. Let k(d) = -d**3 + 6*d**2 - 4*d - 2. Let w be k(5). Solve -w*a - a = i for a.
-4
Let t = -33 - -37. Solve 2*s + t = 2 for s.
-1
Let k(p) = -2*p - 40. Let x be k(-25). Solve -x = 4*u + 2 for u.
-3
Let u = 13 - 8. Solve 0 = 2*f - 3*f - u for f.
-5
Let s = 22 + -19. Solve -s*j - 11 = 1 for j.
-4
Suppose 2*p - 3*t = -4 - 7, -25 = -5*t. Suppose 0 = 2*q - 8 + 2. Solve -p*d = -d + q for d.
-3
Suppose -3*x + 0*x + 2*o + 15 = 0, 4*x - 2*o = 18. Let j(a) = 3*a**2 - 5*a + 3. Let f be j(x). Suppose 0*m = -3*m. Solve 3*r - f = -m*r for r.
5
Let p(j) = j**2 + 4*j - 5. Let q(l) = l**3 + 4*l**2 - 4*l - 1. Let h be q(-5). Let u be p(h). Let c = -31 + 32. Solve u = 4*y - c for y.
2
Let w = 29 + -26. Solve h - w = -2 for h.
1
Let h(j) = -j + 2. Let w be h(-2). Suppose -p + 2*p = w. Suppose -2*k = -7*z + p*z + 28, -34 = -4*z + k. Solve z = i + i for i.
4
Suppose -q = -4 + 1. Suppose 0 = -5*b - p - 3*p - 6, -q*b + 5*p + 26 = 0. Solve -4*y + 8 = -b*y for y.
4
Suppose 0 = 2*q - 4*q. Solve q*l + 4*l + 20 = 0 for l.
-5
Suppose -3*y = -4*q + q, y - 8 = -3*q. Suppose 0 = -4*r + y*r + 8. Solve -k = k - r for k.
2
Let g be (0/(-2))/(1*-2). Suppose 3*w + g*w - 2*i - 66 = 0, -w - 2*i + 14 = 0. Suppose -3*h - 2*h + w = 0. Solve 8*r - 8 = h*r for r.
2
Let j be (-4)/(8/6)*-8. Suppose -3*n + 15 = -3*a - 12, -j = -3*n + 2*a. Suppose 3*u = 4*r + r - 35, -4*u = 4*r - 60. Solve -n*q + q - r = 0 for q.
-2
Let p(f) = -f**3 - 5*f**2 + 3*f - 13. Let i be p(-6). Solve -v - i = 4*v for v.
-1
Suppose 4*y = 2*y + 6. Let o(t) = -4*t**2 - t**y + 1 + 2*t**3 + 0*t**3 - 2*t**2. Let n be o(6). Solve 4 - n = -j for j.
-3
Let g(t) = t**2 - 7*t - 4. Let w be g(8). Let o = 1 - -1. Solve w*x = 2*x + o for x.
1
Suppose 4*h + 2*a - 10 = 0, h = -4*h - 2*a + 11. Solve -4*y + h = 5 for y.
-1
Let q(j) = 5*j**2 + 3*j + 11. Let l(t) = -14*t**2 - 8*t - 32. Let i(y) = 3*l(y) + 8*q(y). Let p be i(6). Let d be (2/5)/((-2)/p). Solve -5*x = -9 - d for x.
5
Let l(u) = -10*u + 6. Let s = 1 + -2. Let p(c) = c. Let n(q) = s*l(q) - 12*p(q). Let x be n(-4). Solve -4 = -0*z + x*z for z.
-2
Let j be -2*1 - 2/(-1). Let x(t) = t**3 + 3*t**2 - 4*t + 2. Let s be x(-4). Solve j = p - s*p + 4 for p.
4
Suppose -4*r + 15 = r. Suppose 2*b = -3*g + 1, -3*g = -r*b + g - 7. Let k = 0 - b. Solve -k = c - 6 for c.
5
Let d(q) = q**2 + 18*q + 20. Let i be d(-17). Solve -i*g = 2*g + 10 for g.
-2
Suppose 0 = 5*s - 10, -24 = -2*y - 2*y + 4*s. Let w = 8 + -5. Suppose 0 = -w*o - 15, -4*m + 4 = -4*o - 16. Solve -2*j + y = -m*j for j.
4
Suppose -2*x = x - 6. Let b(r) = -r**2 - 4*r + 4. Let m be b(-4). Suppose m*a - 18 = a. Solve -x + a = -n for n.
-4
Let v = -55 - -59. Let a be (2 - 0)*5/2. Suppose -4*o + a*c + 6 - 1 = 0, -5*o - 5 = 5*c. Solve -v*i + 2*i - 2 = o for i.
-1
Let m be (-1 + 5 + -4)/(-1). Solve 0*t - 2*t = m for t.
0
Suppose 0 = -a - 5*m + m + 7, 3*a + 2*m - 11 = 0. Let t(x) = -2*x + 9. Let r be t(6). Let n = 5 + r. Solve -a*o = -n*o for o.
0
Suppose -4 = -n + 2. Suppose -6 = -2*i - 20. Let a(h) = h**3 + 7*h**2 - h + 8. Let d be a(i). Solve -3*b = -n*b - d for b.
-5
Suppose 0 = -2*d + 4*d - 4. Suppose 3*g - 6 = 2*w + d, -2*g - w - 4 = 0. Let b(o) = -o**2 + o + 3. Let f be b(g). Solve -2*r - f = -9 for r.
3
Let u be ((-21)/(-27) - -2) + 2/9. Solve u*x = -0 - 6 for x.
-2
Suppose 0 = 2*v - 6 - 2. Suppose -3 = v*u - 5*u. Solve u*y + y - 20 = 0 for y.
5
Suppose -2*g - 28 = -4*r, 4*r = r - 4*g - 1. Solve 3 + 7 = r*m for m.
2
Let r = -20 - -13. Let i(v) = v**2 + 7*v. Let o be i(r). Solve -u + 5*u - 8 = o for u.
2
Let x = 17 - -3. Solve -b - 4*b = -x for b.
4
Suppose -j + 4*j = 0. Solve j*h + 4 = 2*h for h.
2
Let b = -5 + 0. Let d(l) = -l**3 - 4*l**2 + 4*l - 1. Let u be d(b). Solve 0*m = -u*m - 8 for m.
-2
Let j be (16/(-40))/(4/(-50)). Solve 5*l - j = 20 for l.
5
Suppose 3*p - 5*p = -6. Suppose -4*m - p*g = -20, 2*m + 3*m = 2*g + 25. Solve 7 + m = -4*n for n.
-3
Suppose -2*q = -0*q - 2. Let x(g) = -2 + 3 + 4*g - 2. Let y be x(q). Solve 0 = -3*k - 3 - y for k.
-2
Let p(s) = -s - 22. Let r be p(-23). Solve 3*w - 4 = -r for w.
1
Suppose -5*g - 47 = -7. Let j be ((-16)/(-12))/(g/(-18)). Solve 3*b - j + 0 = 0 for b.
1
Let u(q) = -q**3 + 11*q**2 - 10*q + 7. Let k be u(10). Solve 3 = a + k for a.
-4
Suppose 0 = -t - 4*t. Let j be (-4 - -3)/(2/(-8)). Suppose -j*f + t*f + 10 = 3*h, 6 = -3*h. Solve -q + f = -0*q for q.
4
Let n(k) = -k**2 - 3*k + 1. Let y be n(-3). Let x be (0/y)/((-2)/2). Solve -6 = -2*b - x for b.
3
Let k = -12 + 13. Solve -w - k = 1 for w.
-2
Let l be 4 - (-6)/9*-3. Solve -l*w = -6*w - 20 for w.
-5
Let g = 0 + 0. Solve 3*u = -g*u for u.
0
Suppose -o + 2*o = -m - 1, -2*m + 3*o + 13 = 0. Solve -5*y + m = -8 for y.
2
Let l(d) = d**2 - 21*d + 22. Let r be l(20). Solve s = -r*s for s.
0
Let b(o) = o**3 - 8*o**2 + o - 10. Suppose -5*k + 40 = -0*k. Let u be b(k). Let s = 4 + u. Solve -2*m - s = -m for m.
-2
Let g(q) = 2*q**2 - 25*q - 11. Let y be g(13). Solve y*t + 1 = -1 for t.
-1
Let a be (2/3)/((-4)/(-30)). Solve -6*x + x = a for x.
-1
Suppose -4*w = 2*d - 2, -2*d + 6*w + 38 = w. Let h be 10/(-45) - 25/9. Let l be (-1)/(-2) + h/(-2). Solve -5*o = -l*o - d for o.
3
Suppose -5*g = -g - 32. Let h = g + -6. Suppose -o = 1, -o - h*o = d. Solve 0 = d*w - 4*w + 5 for w.
5
Let q = 19 - 15. Let h be ((-10)/q + 2)*0. Solve -4*b + 2*b = h for b.
0
Suppose 2*d + 3*k - 10 = -k, d - 2 = -5*k. Suppose -3*z - 10 = 2*z. Let h = z + d. Solve -12 = -f + h*f for f.
-3
Suppose -56 = -2*n + 2*w, -4*n + 108 = -2*w + 2. Solve -3*u + n = -8*u for u.
-5
Let l = 24 + -24. Solve -2*b + 3*b - 2 = l for b.
2
Suppose -3*h - h = 0. Suppose -3*i + 5*l - 16 = h, -i - l - 3*l + 23 = 0. Solve 2*a - 5 = i*a for a.
-5
Let s be (-9)/3 + 32/2. Solve 7 = 5*p - s for p.
4
Let u = 51 - 81. Let d = -18 - u. Solve d = -5*i - 3 for i.
-3
Suppose 0 = 4*s - 0*s. Let x be 4 + s + -1 + 1. Let k be -3 + (0 + 6)/1. Solve -k*y + x*y - 4 = 0 for y.
4
Let z(u) = 3*u - 1. Let c(w) = -3*w + 1. Let a(q) = 3*c(q) + 4*z(q). Let d be a(1). Solve -d*h = h for h.
0
Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
+ i*b wrt b.
14
Let n(s) be the second derivative of s**8/48 + s**5/20 + 9*s**2/2 + 3*s. Let d(x) be the first derivative of n(x). Find the third derivative of d(t) wrt t.
420*t**2
Let q(i) be the third derivative of i**7/840 - i**5/60 - i**3/6 + 4*i**2. Let r(j) be the first derivative of q(j). Find the second derivative of r(f) wrt f.
6*f
Find the third derivative of 20*m**2 - 9*m**2 + 6*m**3 - m**2 wrt m.
36
What is the second derivative of 0*l**2 - l - 5*l**2 + 3*l - 3*l wrt l?
-10
Suppose -4*q + 9 = 3*i, -4*q + 4*i + 1 = -15. What is the third derivative of -2*u**3 + u**q + u**2 - 2 + 2 wrt u?
-6
Let y be -3*2/(1 - 3). Find the first derivative of 8*j**y - 8*j**3 + 5 - 1 - 2*j**4 wrt j.
-8*j**3
Let m be (8/(-24))/((-2)/24). Let l be ((-3)/(-2))/(m/16). Find the second derivative of -3*f**2 + 3*f**2 + l*f - 3*f + 3*f**2 wrt f.
6
Suppose 3*a + 3*q = 0, 2*a - q + 5*q = -6. Find the third derivative of z**6 - 4*z**2 + 2*z**a - 2*z**3 + 0*z**2 wrt z.
120*z**3
What is the second derivative of -z - 2*z**3 + 7*z**2 - 7*z**2 - z wrt z?
-12*z
Suppose -3*s + 2*s + 10 = 2*t, 0 = -4*s + 3*t + 7. Find the first derivative of 0*p - s*p**4 + 2 + 0*p - p**4 wrt p.
-20*p**3
Let v(c) = -24*c**3 + 9*c**2. Let l(f) = 8*f**3 - 3*f**2. Let g(w) = 17*l(w) + 6*v(w). What is the third derivative of g(k) wrt k?
-48
Let z = 4 - 2. Differentiate 0 - b - b - z wrt b.
-2
What is the second derivative of -21*t**3 - 37*t + 2*t**3 + 7*t**3 wrt t?
-72*t
Let z(i) be the second derivative of 21*i**5/20 - 4*i**4/3 + i**3/6 - 38*i. Find the third derivative of z(n) wrt n.
126
Let t = 17 - 11. Let r(z) be the third derivative of 0*z**3 - 1/24*z**4 - 2*z**2 - 1/60*z**t + 0*z + 0 + 0*z**5. Find the second derivative of r(l) wrt l.
-12*l
Let v(g) = -13*g**4 + 2*g**3 - 11*g**2 - 2*g. Let m(z) = z**4 + z**3 - z. Let n(j) = 2*m(j) - v(j). Find the third derivative of n(d) wrt d.
360*d
Let i(u) be the second derivative of 0*u**5 + 0*u**3 - 2/21*u**7 + 0*u**6 + 0 + 0*u**2 - 1/6*u**4 + u. What is the third derivative of i(g) wrt g?
-240*g**2
What is the first derivative of -12*y**3 + 6*y**3 - 2 - 10 - 9*y**3 wrt y?
-45*y**2
Let d(j) be the second derivative of 0 - 6*j - j**2 + 0*j**3 + 1/3*j**4. What is the first derivative of d(k) wrt k?
8*k
Let x(i) = -1. Let k be (8/(-16))/(2/(-4)). Let s(n) = 5*n + 2. Let o(y) = k*s(y) + 5*x(y). What is the derivative of o(r) wrt r?
5
Let d(h) = 47*h**3 - 24*h**2 + 11. Let y(o) = 23*o**3 - 12*o**2 + 6. Let g(q) = -6*d(q) + 11*y(q). What is the third derivative of g(r) wrt r?
-174
Let s = -3 + 1. Let o be 0/s - -5 - 3. Find the third derivative of 0*t**3 - o + 3*t**3 + t**2 + 2 wrt t.
18
Let f(q) = q + 1. Let k(p) = 2*p + 3. Let w = 14 - 18. Let b(g) = w*f(g) + k(g). What is the first derivative of b(m) wrt m?
-2
Let z(n) = -5*n**4 + 3*n**3 - 2*n - 3. Let b(p) = 4*p**2 + 1 - 4*p**2 + 0*p**3 - p**3. Let l(c) = -3*b(c) - z(c). Find the second derivative of l(o) wrt o.
60*o**2
Find the second derivative of -c**2 - 4*c - 4*c**2 + 2*c**2 + 9*c wrt c.
-6
What is the second derivative of 27*k**4 + 0 + 4 + 16*k - 4 wrt k?
324*k**2
Let l(m) = -m**4 + m**3 + 1. Let p(g) = -28*g**4 + 3*g**3 - g**2 + 69. Let c(k) = -3*l(k) + p(k). What is the first derivative of c(j) wrt j?
-100*j**3 - 2*j
Differentiate 16*g + 23*g - 39*g - 3 - 9*g**4 with respect to g.
-36*g**3
Let l(o) be the first derivative of -o**9/3024 - o**6/360 + 2*o**3/3 - 3. Let q(i) be the third derivative of l(i). What is the third derivative of q(x) wrt x?
-60*x**2
Let r be 3/((-1)/(-5) - 0). Suppose -3*w + r = 2*w. What is the second derivative of -2*o**3 + 2*o**3 - 2*o - 3*o**w + 0*o**3 wrt o?
-18*o
Suppose -5*k + 25 = 0, 3*b + 2*b - k = 70. Let j(d) be the first derivative of -2*d**2 + 2 + b*d + d**3 - 15*d. Find the second derivative of j(r) wrt r.
6
Let z = 1 - 0. Let n(i) = -i**2 + i + 1. Let x(o) = -o**2 + 13*o + 4. Let r(m) = z*x(m) - 4*n(m). What is the second derivative of r(g) wrt g?
6
Let n(a) = 8*a**3 + 3. Suppose 0*x = 3*x, 2*x + 10 = 2*r. Let i(v) = -6*v**3 - r - 3*v**3 + 2. Let z(q) = 6*i(q) + 7*n(q). Differentiate z(g) with respect to g.
6*g**2
Let v(s) = 3*s**3 - 6*s**2 - 13*s + 6. Let p(n) = 4*n**3 - 5*n**2 - 13*n + 5. Let l(k) = 6*p(k) - 5*v(k). What is the second derivative of l(g) wrt g?
54*g
Let j(t) be the first derivative of -t**4/12 + t**3/3 + t**2/2 + 2. Let i(f) be the second derivative of j(f). Find the first derivative of i(v) wrt v.
-2
Let v = 2 + 2. Differentiate 4*y - 2 - 9 + v - y with respect to y.
3
Let j(x) = -x**2 - 9*x - 10. Let z be j(-7). Find the third derivative of -z*n**5 + n**2 + 46*n**3 - 46*n**3 wrt n.
-240*n**2
Let a(m) be the first derivative of -m**8/1680 - m**6/180 - m**3/3 - 3. Let q(z) be the third derivative of a(z). What is the third derivative of q(r) wrt r?
-24*r
Let x = -7 + 7. Let h(q) be the first derivative of 1/2*q**2 + x*q - 2 + q**3. What is the second derivative of h(r) wrt r?
6
Let l = 8 - 8. Suppose 0 = s - 5*u + 23, l = s - 3*u + 9 + 4. What is the second derivative of 3 + 5 - 8 - 3*k**2 + s*k wrt k?
-6
Let u(y) be the second derivative of y**8/56 - 4*y**4/3 + 22*y. What is the third derivative of u(p) wrt p?
120*p**3
Let w(o) = o**3 + 3*o**2 - 6*o - 6. Let t be w(-4). Differentiate 2 - 2*m**2 + 3*m**t - m**3 - m**2 with respect to m.
-3*m**2
Let h(v) = v**2 + v - 4. Let u be h(-3). Differentiate -6*o**2 + 0 - 2 + 6*o**u - 2*o**2 wrt o.
-4*o
Let s(h) be the second derivative of h**5/5 + 11*h**3/6 + 16*h. What is the second derivative of s(k) wrt k?
24*k
Let t(u) be the third derivative of 4*u**2 - 7/60*u**5 + 0*u**4 + 0 + 0*u + u**3. Differentiate t(f) wrt f.
-14*f
Let d(w) be the third derivative of w**6/15 + 2*w**3 + 13*w**2. Find the first derivative of d(c) wrt c.
24*c**2
Let s be 0/3 + 0/1. Suppose -j + 3*h + 1 = s, -4*h + 3*h = -2*j + 7. Find the first derivative of -2*v**4 - 2*v**4 + v**j - 2 wrt v.
-12*v**3
Suppose 2*t - 25 = -3*t. Suppose -5*c + t = -g + 3*g, 4 = -4*c. Find the second derivative of -s + 2*s**g - s + s wrt s.
40*s**3
Find the third derivative of -44*u**2 - 16*u**4 + 53*u**2 - 3*u**4 wrt u.
-456*u
Find the second derivative of -2307*c**2 - 17*c**4 + 2307*c**2 + 18*c wrt c.
-204*c**2
Suppose 4*l = 18 - 6. Suppose 3*k + l*a - 19 = k, k + 3*a - 17 = 0. Find the second derivative of 0*c**2 + c**2 + k*c - 3*c**2 wrt c.
-4
Let t(a) be the second derivative of -a**5/20 + 5*a**2/2 + 5*a. What is the derivative of t(o) wrt o?
-3*o**2
Let q = 11 - 4. Let t(l) = 2*l**2 - 5. Let b(s) = 5*s**2 - 16. Let f(k) = q*t(k) - 2*b(k). What is the derivative of f(w) wrt w?
8*w
Suppose 2*h = 4*a - 22, 2*h = 5*a + 5*h. Find the second derivative of -4*y**2 - 6*y + 2*y**2 + 2*y**2 + a*y**3 wrt y.
18*y
Suppose 0 = -5*m + 4 + 6. What is the third derivative of -c**2 + 9*c**5 - 2*c**m - 6*c**5 wrt c?
180*c**2
Let m(z) = -9 - 5*z**3 + 8*z**2 - 3*z**2 + 0*z**3 + 4*z**4 + 1. Let i(v) = v**3 - v**2 + 1. Let j(y) = -5*i(y) - m(y). Differentiate j(a) wrt a.
-16*a**3
Find the second derivative of 1135 + 13*z - 1135 - 20*z**5 wrt z.
-400*z**3
Let f(b) be the second derivative of -4*b**4/3 - 4*b**3/3 + 5*b. Find the second derivative of f(v) wrt v.
-32
Let x(p) be the second derivative of p**8/840 - p**5/24 - p**3/2 - p. Let a(h) be the second derivative of x(h). Find the second derivative of a(l) wrt l.
24*l**2
Let p(g) = -g**3 + 5*g**2 - 4*g - 1. Let s be p(3). Find the second derivative of 2*x - 5*x**s + 3*x**5 + 5*x**2 - 5*x**2 wrt x.
-40*x**3
Let m(a) be the second derivative of -a**6/6 + 13*a**4/4 - 20*a. What is the third derivative of m(n) wrt n?
-120*n
What is the first derivative of -97*m**3 + 99*m**3 + 3 - 2 wrt m?
6*m**2
Let i(w) be the second derivative of w**3/3 - 3*w**2 - 10*w. Differentiate i(y) with respect to y.
2
Let u be (-2)/7 + 44/7. Suppose -5*y = 2*k - 1 - u, 2 = -3*y + 5*k. What is the first derivative of y + i**2 + i**2 - 4*i**2 wrt i?
-4*i
Let j(k) be the first derivative of 6 + k**2 + k**4 - 2*k**4 + 0*k**4. What is the second derivative of j(l) wrt l?
-24*l
Let h(r) = r**2 - 4*r + 1. Let g be h(4). Differentiate 4*s**3 + 2*s**3 - g - s**3 wrt s.
15*s**2
Let m(r) be the third derivative of -r**7/210 - r**5/20 - 6*r**2. Find the third derivative of m(t) wrt t.
-24*t
Let v be (-1)/(1/(-12)*2). What is the first de
|
{
"pile_set_name": "DM Mathematics"
}
|
Solve -4*z + d = -14, -l*d = -d - 8 for z.
4
Suppose 10 = 4*c - 2. Suppose -c*q + 4*q = 0. Let z be 10/(0 - (2 + -4)). Solve q = 3*u - 12, 2*o + 0*u = z*u - 12 for o.
4
Suppose -16*f + 13*f = -15. Solve -2*x + 12 = 4*l - 0*x, 2*l + f*x - 14 = 0 for l.
2
Suppose -8*w = -7*w - 17. Suppose -2*p - w = 4*r - r, 0 = -5*p + 5*r - 30. Let i = 7 + p. Solve l - 3*t - 6 = -19, 2*l + 5*t - 29 = i for l.
2
Suppose 84 = 3917*z - 3903*z. Solve 3*r + z = -3*o - 3, -o = -r + 5 for r.
1
Let h be ((-28)/6)/7*3/(-1). Suppose 13 = 3*m + t, -3 = -h*m - m - 3*t. Solve -4*o = -3*r + 8, 3 - m = -o + 2*r for o.
-5
Let v be (-2)/(-2) + -1 + 0. Let i = v + 0. Suppose 3*q + i*m = 3*m, 5*m - 10 = 3*q. Solve 4*w + 1 - 3 = q*c, 7 = 3*w - c for w.
3
Let i(k) = -k**3 - 6*k**2 + 8*k - 8. Let j be i(-7). Let o be (9/j)/((-2)/10). Solve 0 = 2*m - 5*p + 5, -o*p = 2*m - 0*p + 13 for m.
-5
Let m(b) = -4*b**3 - 2*b**2 - 2*b - 1. Let c be m(-1). Let y = 0 + c. Solve -4*f - y*s = -32, 2*s = 4*f - 12 - 0 for f.
5
Suppose 0 = -5*m - 3*s + 6, -m - 14*s - 9 = -10*s. Solve -2*a = -3*n - 10 + 1, 3 = -m*n + 4*a for n.
-5
Let n(q) = q**2 + 121. Let m be n(0). Let j = m - 104. Solve -2*a + 3*b = -7, 4*a + 0*a - 3*b - j = 0 for a.
5
Suppose 7 = -2*a - 17. Let l = 504 + -511. Let x = l - a. Solve g + g = -3*y - 18, x*y + 35 = -5*g for y.
-4
Suppose 3 = -t, -a - 5 = 3*t - 11. Let n be (-11)/(-3) - 10/a. Suppose 0 = o + 3*z - 32, n*o = -2*z - 25 + 121. Solve 4*i = 4*s + 4, 3*s - o = -0*s - 4*i for s.
4
Let c(j) = -5 + 19*j - 5 - 2*j**2 + j**2 + 4*j**2. Let l be c(-7). Solve -2*o + 2*s - l*s - 18 = 0, -5*s = -3*o + 13 for o.
-4
Let t = -63 + 94. Let f(u) = -u**2 - 10*u + 15. Suppose 0*y = -3*y + 3*s - 30, -3*s + 41 = -4*y. Let q be f(y). Solve 4*a = 5*c + 10, c = 5*a + q*c - t for a.
5
Let f = -115 - -118. Suppose 5*s = 5*i + 90, 7*s + 5*i - 14 = 4*s. Solve -5*r - s = -f*b - 0*r, -10 = 5*r for b.
1
Let c(j) = 22*j + 4*j**2 + 0*j**3 - 5 - 15*j - j**3. Let g be c(5). Suppose p + 12 = g*p. Solve -u - p*w = 5, -5*u + w - 4*w - 1 = 0 for u.
1
Let z(x) be the second derivative of -x**4/12 - 4*x**3/3 - 5*x**2 - 16*x. Let i be z(-5). Solve 0 = -3*j - 5*d + 2 + 3, -j = i*d - 5 for j.
0
Suppose -3*z + h = z - 340, 0 = -4*z + 4*h + 328. Suppose 0 = -5*c + 29 + z. Solve 0 = -2*y - 6, 0*w + 4*w - c = y for w.
5
Suppose -3*x - 20 = -2*o, 0 = 4*o - 5*x + 3*x - 24. Let m = 11 + o. Solve -k - 3 + 6 = -5*l, -m = -5*k - 5*l for k.
3
Let q = 46 + -47. Let m be q/3*-21 - 2. Solve -r = 4, -5*r - m = h + 2*h for h.
5
Let y be -11 - (2 - 0) - 0. Let w = -5 - y. Suppose 2*u + b - w = -0, b = -4*u + 14. Solve -f = -h + 4*h + 15, h - u*f = 5 for h.
-4
Suppose -65*c = -63*c - 18. Let t be 93/9 + 6/c. Solve -t = -o + 2*w, -4*w = 5*o - 3 + 4 for o.
3
Let m(c) be the third derivative of -c**4/24 + 5*c**3 + 12*c**2. Let p be m(8). Solve -4*w - 28 = -5*v - 8*w, -3*v - 5*w + p = 0 for v.
4
Suppose -5*y - 45 = -14*y. Solve 0 = -y*t + 25, n - 7 = -3*n - 3*t for n.
-2
Let m(i) = -13*i + 12*i - 12 - 4*i + 8*i**2 - i**3. Let k be m(7). Let v = 10 - 5. Solve -5*x = -4*o - 10, k*o + v*x - 10 = -o for o.
0
Suppose 6 = 2*h - 2. Suppose 2*j - 16 = 3*j + 3*y, 4*j = 4*y. Let q = 1 - j. Solve -q*d - 4 = -4*n + 1, 0 = -h*n + d - 15 for n.
-5
Let h be (16 + -10)*(-4)/(-6). Let r(x) = 2*x + 1. Let s be r(-5). Let m be (4/3)/((-6)/s). Solve n - h = -z + m*n, 5*z = n for z.
-1
Let y = 447 + -441. Suppose 5*x = -5*r - 18 + 43, -5*r + 21 = 4*x. Let s be 0/(r*1/(-1)). Solve 3*t = -2*z + 13, s = -t + y - 1 for z.
-1
Suppose 4*a + 0 = -16. Let w be 5/(-15) + a/(-12). Solve 3*v - f - 10 = w, 5*f = -v - 0*f - 2 for v.
3
Let s = -550 + 552. Solve 4 = -5*z + s*j + 18, -3*z + 8 = -j for z.
2
Let w = 3 + -16. Let d = -11 - w. Suppose -10 = -d*o - 0*o. Solve 10 = 5*g, l + 6 = o*l - 5*g for l.
4
Let i be 2 - (-2 - (-8)/2). Suppose -6*f + 30 = -i*f. Solve -3*o - 10 = -5*m + 2*o, -2*m + f*o + 1 = 0 for m.
3
Let i be (-5 - 114/(-36))*-12. Suppose 25 = 3*m + 2*m. Solve k - 27 = -m*l - 2, -i = -2*k - 3*l for k.
5
Let y be (-6*3/6)/(6/(-10)). Solve -5*b + 0*s + 28 = 2*s, 0 = -5*b + y*s for b.
4
Let v(l) = l**3 + 11. Let y be v(0). Suppose -64 = -10*x + 8*x. Suppose -4*t - x = -4*s, 36 = 6*s - 2*s - 5*t. Solve -5*w = -s*i, w = -3*i + 2*w - y for i.
-5
Let l be (22 - -1) + (4 - 9) + 0. Solve 20 = -3*j - w + 3, -2*j - 2*w - l = 0 for j.
-4
Let u = 48 - 43. Suppose u*g - 8 = g. Suppose 5*t + 4*l - 16 = 4, 4*t - l - 16 = 0. Solve -5*y = -g*q - q - 19, -8 = -t*q for y.
5
Let r(f) be the second derivative of -f**3/3 + 3*f**2 - 4*f. Suppose 0 = -6*y + 3*y. Let d be r(y). Solve 0 = -0*x + x + 4*v - 12, -3*x - d = -2*v for x.
0
Suppose 0 = 4*s, -4*s = -3*r - 1 + 25. Let d be -1*(-4)/(r/6). Suppose -2*u = 3*p - 33, -21 = -2*u - p + 2. Solve 0 = w, d*j + 0*j + 5*w = -u for j.
-3
Let u(b) = -b**3 + b**2 - b + 2. Suppose 4*p + 11 = 3*p. Let t = p + 11. Let y be u(t). Solve 4*d + 0 = -2*v - 2, 8 = -2*v + y*d for v.
-3
Let o be 4/14 + 44/(-7). Let m = 29 - 11. Let y be 84/m - 2/o. Solve 0 = -y*g + 2*j - 4, -4*g - 17 = j + 2*j for g.
-2
Suppose 4*r - 3*j = 10 + 11, 3*j + 9 = 0. Suppose 0 = r*o - 0*o - o. Solve -4*c = 3*a + 23, -5*a + 4*c - 6 - 11 = o for a.
-5
Let i(p) = -2*p**3 - 4*p**2 + 2*p - 10. Let g be i(-3). Solve 2*x + 3*c + g = 3, 0 = -5*x - 3*c + 16 for x.
5
Let h(o) = -10*o + 22. Let i be h(2). Solve -j + 6 = 2*s, -5*j + i*s - s = -19 for j.
4
Let l(n) = -n**3 + 9*n**2 + 22*n + 1. Let j be l(11). Solve 4*q + 2 - 7 = g, -j = -5*q + 3*g for q.
2
Let a be 0 + (2 - (-8 - -1)*-1). Let y = -3 - a. Solve 0 = -4*c - y*v + 10, 2*c + 2*v + 3 - 13 = 0 for c.
0
Suppose 12*u - 28 = 8. Solve 5*h - 5 + 15 = 3*q, u*q = 3*h for h.
-5
Let z = 19 - 14. Suppose -z*r = -7*r + 80. Solve 0 = 5*s - 4*w - r, -w = 6*s - s - 15 for s.
4
Let q be (3/(-4))/((-9)/24). Suppose -q*u + 0*u = -8. Solve 4*p - 6 = a - p, -u*a - 3*p + 22 = 0 for a.
4
Let i(w) = -w**3 + 35*w**2 - 33*w - 30. Let h be i(34). Solve 0 = h*d + u + 10, 3*d - 2*u = d for d.
-2
Let i(m) = -1 - 2*m + 3 + m**3 + 0*m**2 - m**2 + 2*m**2. Let v be i(2). Let r = -5 + v. Solve -c = 4*b, -6 = -r*b + 3*b + c for b.
1
Let t be (2 - 7) + (-1 - -11). Solve 0 = 4*a + 2*v - 5*v + 17, t*a + 5*v - 5 = 0 for a.
-2
Let z(t) = -18 - 21 - 4*t + t**2 + 47 + 0*t. Let o be z(-5). Suppose -7 = -5*p + o. Solve -2*w = -4*u - p, -3*w - 1 = -u - 9 for u.
-2
Let b = -1 - 1. Let v(d) = d - 8. Let g be v(14). Let t = g + b. Solve i = 4*i - 3, -13 = t*w - 5*i for w.
-2
Suppose -76 = 4*j - 100. Solve 4*n - 4*p - 20 = 0, -16 = -2*n + j*p - 2*p for n.
2
Let t be -1*2 + 4 + -30. Let u = t + 28. Suppose 0*d - 2*d + 8 = 0. Solve d*a + 0*a - 2*q = 0, -3*a - 2*q - 7 = u for a.
-1
Suppose x - 9*d = -6*d, 2*x - 5*d = 0. Solve x = 4*y + 2*a - 8, -3*a - 17 = -2*y + 3 for y.
4
Suppose 4*i + 0*i = 0. Suppose -3*v + 58 = -5*o, i = -2*v - o + 6*o + 42. Solve -4*s = -4*t + v, -4*s + 5*t + 0*t - 16 = 0 for s.
-4
Suppose 5*k + 5*m = 30, k - 3*m = -2*k - 12. Let p be 1/k - (-9)/9. Suppose -p*d = 2*d - 8. Solve 3*y - 11 = -2*f + 4, d*f + 2*y = 12 for f.
3
Suppose -368 + 338 = -10*k. Solve 0 = 5*t + 4*o, 0 = 3*t + k*o - 6*o - 27 for t.
4
Let v = -1 - 0. Let r(i) = -3*i**3 - 2*i**2 - i + 1. Let b be r(-1). Let y be b - (3/3)/v. Solve -15 = g - 3*o - 0, -y*g = -o + 16 for g.
-3
Let s(y) = 6*y**3 + y + 1. Let r be s(2). Let o = -44 + r. Solve 3*t = n + 14, o*t - 22 = 3*t + 3*n for t.
4
Let w be (-714)/(-136) - (-4)/(-16). Solve -5*t - w*z - 15 = -z, -3*z - 12 = 4*t for t.
-3
Let d(u) = -u. Let j be d(-8). Let m(r) = r**2 + 4 + r**2 - r - r - 5. Let a be m(-1). Solve -4*l + j = 0, 3*v = l + a*l + 7 for v.
5
Let k be 2/(-4)*(-12 - 62). Suppose -2*q + 7 = -k. Solve -6 = -2*t + x, -4*x - x = 3*t - q for t.
4
Let g(t) = t**3 + 24*t**2 - 52*t + 3. Let i be g(-26). Solve -10 = 3*z - v + i*v, 3*v + 15 = 5*z for z.
0
Let w(q) = -q**2 + 49. Let u be w(-7). Solve u*g + 5*l = g + 14, 5*l = 3*g + 22 for g.
-4
Let d = 74 + -67. Let m(i) = 9*i - 3 - 6 - 1 - i**2. Let f be m(d). Solve 2*c - 9 = -4*x + 9, 0 = f*c - x - 18 for c.
5
Let d(q) be the second derivative of q**3/6 + 4*q**2 - 11*q. Let w be d(-3). Solve w*o - i - 20 = 0, 4*o - i = -2*i + 25 for o.
5
Suppose 2*d - 6 = p + 28, 0 = -d + 3*p + 27. Let o(k) = -15*k + 5. Let h be o(1). Let y = d + h. Solve -q = y*i + 15, -3*i - 6 = 2*q + 3 for i.
-3
L
|
{
"pile_set_name": "DM Mathematics"
}
|
08*m + 12
Find the second derivative of 8464072*b**5 - 7461694*b.
169281440*b**3
Find the second derivative of -481*v**3 - 5635*v**2 - 39630781*v.
-2886*v - 11270
What is the second derivative of 14*k**3*l - 6*k**3 - 291*k**2*l + 43*k**2 - 1561*k*l - 3*k - 2*l + 2 wrt k?
84*k*l - 36*k - 582*l + 86
What is the third derivative of 25713607*d**2*n**3 - 2*d**2*n**2 + d**2*n - 152644*d*n**2 wrt n?
154281642*d**2
Find the first derivative of -521206*q**4 - 3*q**2 - 7*q - 27937783.
-2084824*q**3 - 6*q - 7
What is the second derivative of -474772323*h**2 + 123299982*h wrt h?
-949544646
What is the first derivative of -6521128*h**2 - 17846298 wrt h?
-13042256*h
What is the derivative of -9969795*d**2 + 1999105 wrt d?
-19939590*d
Differentiate -41759346*j**2*u + 271*j**2 - 41*j + 239 with respect to u.
-41759346*j**2
What is the second derivative of 26397236*x**2 + 61*x + 97649 wrt x?
52794472
Find the third derivative of -494545249*g**3 + 9*g**2 - 6*g + 42287.
-2967271494
Find the first derivative of 137491050*t + 83549486.
137491050
Find the third derivative of 520*g**6 + 12*g**5 + 32*g**4 - 105126*g**2 - 100*g wrt g.
62400*g**3 + 720*g**2 + 768*g
Find the second derivative of -224*b**2*u**3 - 2288*b**2*u*y**3 + 24*b**2 + 5*b*u**3*y**3 + 3*b*u**3 - 165*b*y**3 + 444*b*y**2 + b - u**3 wrt b.
-448*u**3 - 4576*u*y**3 + 48
What is the derivative of 98*j**3 + 30727*j**2 + 7149933?
294*j**2 + 61454*j
Differentiate 21177*j*l*n**2 - 139840*j*l + 2*j + 15087*l*n**2 + 403*l with respect to n.
42354*j*l*n + 30174*l*n
Find the first derivative of -1993*n*p**4 - 36*n*p**2 + 9929761*n wrt p.
-7972*n*p**3 - 72*n*p
Find the first derivative of -57667389*m - 2110713.
-57667389
What is the second derivative of 625322546*u**3*w**4 - 2*u**3 - 15*u**2*w + 659373*w wrt w?
7503870552*u**3*w**2
What is the third derivative of 8784674*r**3 + 7469471*r**2 wrt r?
52708044
Find the third derivative of -9982098*g**3*k**2 - 8*g**2*k**2 + 2*g*k**2 + 862*k**2 - 14 wrt g.
-59892588*k**2
What is the second derivative of 10770574*p**3 - 5129845*p wrt p?
64623444*p
What is the third derivative of 7007065*q**3 + 225857*q**2 + q - 10 wrt q?
42042390
Find the second derivative of -1157971*g**2*s**4 + 3*g**2*s + 1271*g**2 - 11*g*s + g + 4*s wrt s.
-13895652*g**2*s**2
Find the first derivative of -2*s**4 + 6*s**2 + 8963631*s - 232678461.
-8*s**3 + 12*s + 8963631
Differentiate -d*f**3 + 26293126*d + 15*f**3 + 8308*f wrt f.
-3*d*f**2 + 45*f**2 + 8308
Find the second derivative of -2*k**4 + 3814082*k**3 - 11*k**2 - 83080*k + 60.
-24*k**2 + 22884492*k - 22
Find the third derivative of -4*f**4 - 1141036*f**3 - 29797670*f**2.
-96*f - 6846216
What is the derivative of 186*f**3*v - 142*f**2*v - 16*f + 22324*v + 269 wrt f?
558*f**2*v - 284*f*v - 16
Find the second derivative of 18169585*h**4 + 2*h**3 - 4*h**2 - 25583*h + 5323 wrt h.
218035020*h**2 + 12*h - 8
What is the second derivative of 384545*j**4 + 491*j**3 + 51613795*j wrt j?
4614540*j**2 + 2946*j
What is the third derivative of -1059881*r**5*v - 4*r**3*v + 98*r**2*v - r*v - 10 wrt r?
-63592860*r**2*v - 24*v
What is the third derivative of -41833381*h*k**3 - 643477*h*k**2 - 2*h - 2*k**2 - 2*k - 9 wrt k?
-251000286*h
Find the third derivative of -108984564*r**6 + 123924*r**2 + 94*r.
-13078147680*r**3
What is the third derivative of -96661*j**5 - 7*j**4 - 2055086*j**2?
-5799660*j**2 - 168*j
What is the third derivative of -717773865*w**5 - 567022527*w**2?
-43066431900*w**2
Differentiate -136350882*x**2 + 351225957.
-272701764*x
Find the third derivative of -795037277*h**3 + 22*h**2 - 6754111.
-4770223662
Differentiate -259690742*d + 78106949 wrt d.
-259690742
What is the derivative of 76*b*g**2*i - 172*b*g**2 - 11*b*g*i + 2*b*i - 64*b - 3*i - 3971 wrt g?
152*b*g*i - 344*b*g - 11*b*i
Differentiate -k*o**2 + 346*k*o - 180367*k + 127858245*o**2 wrt k.
-o**2 + 346*o - 180367
Find the second derivative of -8552945*d**2 - 12192279*d.
-17105890
Differentiate -30*h**3*n - 8712*h**2 + 20*n + 141621 wrt h.
-90*h**2*n - 17424*h
What is the third derivative of 4701285*v**4 - 3*v**2 + 6052*v - 2?
112830840*v
Find the third derivative of 348143428*w**5 - 125002442*w**2.
20888605680*w**2
Find the third derivative of 398*v**6 + 6*v**5 - 130*v**4 + 6*v**2 + 1179499*v.
47760*v**3 + 360*v**2 - 3120*v
Differentiate -350602767*i - 96857097 with respect to i.
-350602767
What is the derivative of -8939042*n - 9878279?
-8939042
Find the third derivative of -3528556*h*k**4 + 6*h*k**2 + 12*h*k - h + 2*k**4 - 1770*k**2 wrt k.
-84685344*h*k + 48*k
What is the third derivative of -371524284*r**3 + 710636*r**2 + r + 31 wrt r?
-2229145704
Find the second derivative of 1520*b**2*j**3 + 2*b**2*j**2 + 486*b**2*j - b**2 + b*j**3 - 100*b*j**2 - 2*b - 37*j**3 - 2*j - 10 wrt b.
3040*j**3 + 4*j**2 + 972*j - 2
What is the third derivative of -10*b*c**3 - 5777*b*c**2 - 47*b*c + 369115*c**6 + 6*c**3 - 2*c**2 - 10*c wrt c?
-60*b + 44293800*c**3 + 36
What is the third derivative of 103*f*g**3 + 19*f*g**2*o + 4524*f*g**2 + 2*f*g*o + f - 480*g**3*o - 774*g**3 + 2*g**2*o + 5*g**2 + 2*g wrt g?
618*f - 2880*o - 4644
What is the third derivative of -17651879*q**3 + 112*q**2 + 6333*q + 1?
-105911274
Find the first derivative of -2*f*j**2*s + 88*f*j**2 + 149*f*j*s + f*j - 14089*f*s - f + 4*j**2 + 8*j + 1425 wrt s.
-2*f*j**2 + 149*f*j - 14089*f
Find the third derivative of 150458*f**4 + 549*f**3 + 183978829*f**2.
3610992*f + 3294
Find the second derivative of 10929834*n**2 + 7414799*n.
21859668
Find the second derivative of -651924*y**2 + 4*y - 1230385.
-1303848
What is the second derivative of 21854*i**3 + 112*i**2*t - 7823*i*t - 287 wrt i?
131124*i + 224*t
What is the derivative of 763*p**4 - 4908*p**3 + 116166576?
3052*p**3 - 14724*p**2
What is the second derivative of -28251902*g**4 + 3401266*g + 4?
-339022824*g**2
What is the third derivative of 1433184*m**4 + 67*m**3 - 47085168*m**2 wrt m?
34396416*m + 402
What is the third derivative of 61*j**2*t**3 - 28*j**2*t**2 + 1264*j**2 + 32892*t**5 + 179*t wrt t?
366*j**2 + 1973520*t**2
What is the third derivative of 271307699*l**3 - 110115148*l**2?
1627846194
Differentiate -2437953*n**2 - 6*n + 27513124.
-4875906*n - 6
What is the third derivative of 3*b**4*r - 47546224*b**3*r**3 + 616670*b**2*r**3 - 7*b**2 + b*r**2 wrt b?
72*b*r - 285277344*r**3
What is the first derivative of 127*b**2*c**2 + b**2*s - 178893*b**2 + 11650213*c**2*s + c**2 + 2 wrt b?
254*b*c**2 + 2*b*s - 357786*b
Differentiate -16739*g**2 - 44*g + 25222447 with respect to g.
-33478*g - 44
Find the second derivative of -173*i*t*x**3 - 2414*i*t*x - 6*i*t - 842*i*x**2 - t*x wrt x.
-1038*i*t*x - 1684*i
Differentiate 171347*j**2*r - 122215*j**2 + 3*j*r - 14*r - 58 with respect to r.
171347*j**2 + 3*j - 14
What is the derivative of -9037223*i**2 + 89477286 wrt i?
-18074446*i
Find the second derivative of 104738085*y**4 - 115573512*y.
1256857020*y**2
Find the second derivative of -104*v**5 - 3*v**4 + 3445*v**2 + 1718670*v wrt v.
-2080*v**3 - 36*v**2 + 6890
What is the derivative of -m*w + 201553578*m + 38153411*w wrt w?
-m + 38153411
What is the third derivative of n**5 + 11*n**4 - 5*n**3*r - 15655*n**3 - 3006*n**2*r - 86*n**2 + 9*n*r wrt n?
60*n**2 + 264*n - 30*r - 93930
Find the first derivative of -13799936*l**2 - 15725984 wrt l.
-27599872*l
Differentiate 4916039*x**2 + 3031210 wrt x.
9832078*x
Find the second derivative of -1309723151*i**4 - 757350097*i.
-15716677812*i**2
Find the third derivative of 15693831*f**5*j + 41*f**2*j - 105*f*j + 6*f - 2*j - 1 wrt f.
941629860*f**2*j
What is the third derivative of -809000287*u**2*y**4 - u**2*y**2 - 2025*u**2*y - 1295*u**2 + 2*u*y**2 + u - y wrt y?
-19416006888*u**2*y
Find the third derivative of 25*n**3*v + 310535*n**3 + 214*n**2*v - 29*n**2 + 9*n + 2*v + 2 wrt n.
150*v + 1863210
Find the second derivative of 6726*t**5 + 2*t**4 + 31*t**3 - 9052202*t wrt t.
134520*t**3 + 24*t**2 + 186*t
What is the third derivative of 35*r**5 + 7*r**4 - 1903*r**3 + 47*r**2 - 113108 wrt r?
2100*r**2 + 168*r - 11418
What is the third derivative of 13759380*k**3*t**4 - 2*k**3*t*x + 2*k**3*t - 29*k**3*x**2 - 54*k**2*x**2 + 2*k*t**4*x**2 + 459*k*t**2 + k*t*x**2 wrt t?
330225120*k**3*t + 48*k*t*x**2
What is the second derivative of -680834*z**4 - 21*z - 40404 w
|
{
"pile_set_name": "DM Mathematics"
}
|
1031 - 0.4?
-11031.4
What is -0.1 + 978301?
978300.9
What is the distance between -4 and -34.5?
30.5
What is the difference between -229002 and -0.01?
229001.99
What is 548 plus 0.1?
548.1
What is 5 minus -2.83?
7.83
Sum 51798 and 0.05.
51798.05
What is 0.3 + -1018?
-1017.7
Add -0.0835 and 0.04.
-0.0435
Calculate 0.1 - 47.
-46.9
What is -17660 + 15?
-17645
What is 3498 less than -17.03?
-3515.03
-0.34 - 31
-31.34
What is 9.667 minus 4?
5.667
What is 1 take away 1745.82?
-1744.82
What is 320 + -0.815?
319.185
What is -4 - -2266.3?
2262.3
-29 - 275.519
-304.519
Calculate 37 + 0.38.
37.38
Subtract -0.5 from 23284.
23284.5
Add together -0.1388 and -1.
-1.1388
What is the difference between -3 and 5774?
5777
Work out -1253 + -2.
-1255
What is -23.5 + 80?
56.5
What is -0.91 take away -604?
603.09
Calculate -2772 - -692.
-2080
What is 268.8237 minus -0.4?
269.2237
Total of 1.014 and 67.7.
68.714
0.2+-0.486
-0.286
What is 3 - -24339?
24342
Add -6 and -42851.
-42857
What is -194 less than 206?
400
What is 1.5 + -68?
-66.5
-0.07263 - 0.018
-0.09063
What is the distance between -4 and 31.202?
35.202
Total of -10.7 and 0.01.
-10.69
What is -4358 less than 0.1?
4358.1
What is -0.2 minus 11496?
-11496.2
Calculate 692 + 0.01.
692.01
-0.1239 + 0.04
-0.0839
What is the distance between 0.026491 and -0.1?
0.126491
Put together -803.9 and -0.1.
-804
Work out -229869 + -0.02.
-229869.02
Add 2828 and -0.3.
2827.7
Calculate -38 + 0.07929.
-37.92071
What is -1.3 - 0.006?
-1.306
Calculate -307 + -0.2.
-307.2
Sum -40.958 and 5.
-35.958
Add together 29433 and 0.9.
29433.9
What is 0.13703 take away -0.005?
0.14203
What is -69.59 take away -8.6?
-60.99
Put together 0.07 and -3.42.
-3.35
What is 0.3 + 3.9?
4.2
Calculate -195 + 7.
-188
What is the difference between -21 and -21.39?
0.39
What is 0 less than 507?
507
Add together -22.3 and 2.
-20.3
What is the distance between -1035 and 0.15?
1035.15
What is 18 less than -47323?
-47341
What is -26 - 2.2316?
-28.2316
0.36 + 0.8
1.16
Work out -0.602 + 301.
300.398
What is 0.048 less than -12639.9?
-12639.948
Calculate -14.3 + 848.
833.7
What is -10323587 take away 1?
-10323588
What is 13.4 minus -0.12?
13.52
Add together 8597 and -204.
8393
What is the difference between -8 and -201?
193
Add 1.41 and -0.03.
1.38
What is -991 - 36.6?
-1027.6
3015530+-0.5
3015529.5
What is the difference between 2 and 122536.42?
122534.42
Calculate 15329 + 7.
15336
Subtract -0.5 from -315695.
-315694.5
-0.4 + -1351.67
-1352.07
What is -0.09423 minus -0.02?
-0.07423
Subtract 2675 from -1.
-2676
Add together 1619809 and -0.4.
1619808.6
What is -0.26 plus -1.59?
-1.85
What is the distance between 1387692 and 7?
1387685
What is 0.097 minus -25.12?
25.217
What is -3240 less than 0.045?
3240.045
Calculate -0.0035 + -0.0322.
-0.0357
Work out -5 - 0.0399.
-5.0399
Total of 180584 and -0.5.
180583.5
Sum -3 and 23630.
23627
What is the distance between -6 and 2.5432?
8.5432
50.05 - 1
49.05
Calculate 30602 - 0.04.
30601.96
29 + 44
73
Work out -0.4 - -18152.
18151.6
Work out -25 - 13.7.
-38.7
Total of -373329 and -0.5.
-373329.5
3+-0.11477
2.88523
Put together 23 and -584.
-561
0.04856+-16
-15.95144
What is 1 take away 2915?
-2914
Calculate 1050.26 - 0.9.
1049.36
31.6 + -0.24
31.36
What is -2903 - 18?
-2921
What is -8 + 37.2?
29.2
Subtract 9.5 from 0.218.
-9.282
What is 7.1 plus -0.741?
6.359
Put together 178 and -45.
133
What is -4 - 951?
-955
-23 + 0.247
-22.753
Put together 570 and 15.9.
585.9
3.3039 + 0.046
3.3499
46.2 + 0.2
46.4
Total of 0.2 and -0.02638.
0.17362
Add -2 and 374.
372
Sum 19.47817 and -2.
17.47817
Calculate -0.2 - 32.5.
-32.7
Total of 133 and -0.2.
132.8
What is 0.1486 + -0.039?
0.1096
Total of -4871 and -0.1153.
-4871.1153
What is -0.0552 minus 0.07?
-0.1252
Total of 1 and -0.04288.
0.95712
-3685 - -0.05
-3684.95
What is -121 - -195.5?
74.5
Calculate 0.3555 - 0.8.
-0.4445
What is the distance between 157.5 and 2?
155.5
What is -1 plus 14.56?
13.56
Calculate 166 - -101.
267
What is -3 + 1710.5?
1707.5
-0.3 - 340
-340.3
What is 49778 - 1?
49777
Total of 8.603 and 0.3.
8.903
-180 + -4.66
-184.66
What is the difference between -112.27 and -15?
97.27
Subtract -2 from -30.5.
-28.5
Total of -5 and -301123.
-301128
What is 11102 + 0.7?
11102.7
Calculate -7 - -0.053.
-6.947
What is -6.6 plus 426?
419.4
Add 0.3 and 11.87589.
12.17589
What is 638 - 888?
-250
Add together 15.67 and 8.
23.67
What is 18.14 - 1?
17.14
25692 - 5.6
25686.4
Add together -258.6 and -0.13.
-258.73
Subtract 1427 from -0.057.
-1427.057
What is 2 minus 1123.244?
-1121.244
What is 20363 minus 76?
20287
What is the distance between -2.45 and -1?
1.45
What is -4.483 less than 2?
6.483
What is 94882 less than 8?
-94874
What is -20.44 minus -0.1?
-20.34
What is -496326 minus -6?
-496320
What is 16 take away 10246?
-10230
Add -8 and 354.
346
394 + 2
396
What is the distance between -94 and 0.185?
94.185
61 + -23.1
37.9
Add together -23385 and -0.8.
-23385.8
What is the difference between 348745 and 25?
348720
What is -3548.2 minus 0.01?
-3548.21
180.9 + 4
184.9
Calculate 0.6 + 1235.
1235.6
What is 6195 plus -8?
6187
Work out 716 - -0.7.
716.7
What is 353.065 - -0.5?
353.565
What is 0.5 take away -32?
32.5
Subtract 26 from -1.
-27
What is 1 - 15396?
-15395
What is -0.07 minus 162?
-162.07
Put together 0.03 and -553.
-552.97
Work out -158 - -0.062.
-157.938
Add together -15192 and -0.6.
-15192.6
Work out -2022354 - -0.02.
-2022353.98
Add together -371530 and -3.
-371533
2+-234.5
-232.5
-1971+-0.2
-1971.2
What is 0.04 - -38509?
38509.04
Add -2618 and 1.2.
-2616.8
4142+2
4144
Add -0.2 and -0.14566.
-0.34566
What is 0.89956 + 0.3?
1.19956
Put together -19702 and 1.5.
-19700.5
0.01 - 15608
-15607.99
Add -2.1 and -168.
-170.1
Work out -5 - 228902.
-228907
Total of -0.17 and 0.0599.
-0.1101
What is -1 - 94406?
-94407
Work out -3.7 - -2.143.
-1.557
0.0726 - -48
48.0726
Put together 13767 and 4.
13771
Sum 1.39 and 31.
32.39
Subtract 0.4 from 16.6.
16.2
Work out -74925.74 - -0.3.
-74925.44
-3913.2 - 3
-3916.2
Add 339.6 and -3798.
-3458.4
Total of 0.5 and 0.703.
1.203
What is 1682 - -13?
1695
What is 0.3 - -0.091?
0.391
Put together 7042 and -0.07.
7041.93
-0.91 - 0.096
-1.006
-3+-20.904
-23.904
What is the difference between -0.01 and -139.8?
139.79
What is -0.7 take away -787?
786.3
What is -8.59 - -0.17?
-8.42
Add 8 and -280061.
-280053
Work out -11 - 9234.
-9245
Add 0.03869 and -106.
-105.96131
What is -2 plus -262?
-264
Work out 17549 + 0.045.
17549.045
What is 0.3338 - -0.033?
0.3668
Put together 0.5 and -9176.
-9175.5
Calculate -23957 - 0.
-23957
Sum 25 and 239.
264
Calculate -0.07692 - 0.88.
-0.95692
Add 0.3 and 66.5.
66.8
Work out 24808 - 0.03.
24807.97
Sum -4 and 96540.
96536
Calculate 5 + 10.
15
What is -1.152 - 0.1?
-1.252
Calculate 5 - 421.04.
-416.04
Calculate -0.27 - 599.
-599.27
Subtract -0.05 from -4598.
-4597.95
Put together -2 and -11829.
-11831
What is the distance between 2548 and 69?
2479
What is 1.617 + 0.3?
1.917
What is the difference between 0.2 and 0.634?
0.434
Total of -5 and -4155.
-4160
What is the distance between -0.3 and 10000.4?
10000.7
What is 55 less than 158.3?
103.3
What is -3037.24 less than 1?
3038.24
Put together 260 and -12961.
-12701
Calculate -172139 - -0.05.
-172138.95
Subtract 0.0294 from -822.
-822.0294
What is -2 plus 69.52?
67.52
Calculate 0.4 + 119845.
119845.4
What is 47 + -2.3949?
44.6051
What is -0.2 minus 3219?
-3219.2
Put together -17 and 0.56.
-16.44
Add together -11 and 1160.
1149
What is -0.5 - 8162?
-8162.5
Calculate -100 + 47.
-53
Add together -8.11155 and -3.
-11.11155
Put together -602 and 0.4.
-601.6
Add 12 and 22929.
22941
What is -118 take away 101?
-219
What is -2.8 - -101393?
101390.2
Calculate -0.15457 + -4.
-4.15457
Sum -0.62 and -1.25.
-1.87
Calculate 12.04 + 2.
14.04
What is -0.5 take away -0.1647?
-0.3353
Calculate 5 - -7376.5.
7381.5
43 - 256
-213
What is -0.577952 plus -4?
-4.577952
What is the distance between -2641 and 0?
2641
Total of 0.7869 and -1.
-0.2131
-0.3 - 1.268347
-1.568347
What is 93 - 5.2?
87.8
What is the distance between -706 and 26?
732
Calculate -2345509 - -5.
-2345504
What is the difference between 12 and 102?
90
What is 0.1 + -1120?
-1119.9
-36290 + 4
-36286
Put together 0.13 and -1371.
-1370.87
T
|
{
"pile_set_name": "DM Mathematics"
}
|
32)*(d + 391)/9
Find k, given that 3*k**3/4 - 7683*k**2/2 - 7686*k = 0.
-2, 0, 5124
Solve 2*z**2/19 + 442*z/19 + 14760/19 = 0 for z.
-180, -41
Factor 9*r**3 - 5070*r**2 + 712332*r + 477144.
3*(r - 282)**2*(3*r + 2)
Let 4*f**5 + 1550532*f**4 - 3101076*f**3 + 1550540*f**2 = 0. What is f?
-387635, 0, 1
Factor 2*w**3 - 594320*w**2 + 594314*w + 1188636.
2*(w - 297159)*(w - 2)*(w + 1)
Factor 2*u**3 - 326*u - 924.
2*(u - 14)*(u + 3)*(u + 11)
Determine o so that -3*o**3 - 804*o**2 - 53871*o - 53070 = 0.
-145, -122, -1
Find y, given that -320*y**4 - 2660*y**3 - 3095*y**2 + 7785*y - 1710 = 0.
-6, -57/16, 1/4, 1
Solve 1329*d**5/2 + 17283*d**4/2 + 39909*d**3 + 74604*d**2 + 42864*d + 192 = 0.
-4, -1, -2/443
Factor -4*o**3/7 - 414168*o**2/7 - 10720945764*o/7.
-4*o*(o + 51771)**2/7
Factor 2444*t**2/17 + 39102*t/17 - 32/17.
2*(t + 16)*(1222*t - 1)/17
Solve 3*m**4 + 399*m**3 + 15903*m**2 + 174345*m + 522150 = 0 for m.
-59, -10, -5
Suppose 8*t**5 + 866*t**4/5 + 806*t**3/5 - 47564*t**2/5 + 16296*t/5 + 7056/5 = 0. Calculate t.
-14, -1/4, 3/5, 6
Find o, given that 75*o**5/2 - 39015*o**4/2 - 74949*o**3 + 145914*o**2 + 147708*o + 31440 = 0.
-5, -2/5, 2, 524
Let -p**5/4 + 3*p**4/2 + 3129*p**3/4 + 10633*p**2/2 = 0. Calculate p.
-49, -7, 0, 62
Factor 315*v**3 - 51325*v**2 + 147940*v + 9600.
5*(v - 160)*(v - 3)*(63*v + 4)
What is m in m**4/2 + 378*m**3 + 2235*m**2/2 - 9022*m + 10542 = 0?
-753, -7, 2
Find z such that -14*z**2/17 + 941280*z/17 - 268936/17 = 0.
2/7, 67234
Factor -20*l**3 + 655*l**2 - 5275*l - 1360.
-5*(l - 17)*(l - 16)*(4*l + 1)
Suppose 8*c**4/11 - 42*c**3 - 4298*c**2/11 - 348*c = 0. Calculate c.
-29/4, -1, 0, 66
Solve 2*z**5 + 1768*z**4 + 1764*z**3 - 1768*z**2 - 1766*z = 0.
-883, -1, 0, 1
Factor 2*d**3 + 66*d**2 - 3656*d - 3720.
2*(d - 30)*(d + 1)*(d + 62)
Let -d**3/3 - 42071*d**2 + 84143*d - 126215/3 = 0. Calculate d.
-126215, 1
Factor -2*t**3/9 - 85598*t**2/9 - 342368*t/9 - 38040.
-2*(t + 2)**2*(t + 42795)/9
Determine m, given that 4*m**2/5 + 1876*m/5 + 1872/5 = 0.
-468, -1
Factor -2*w**2/9 + 11836*w/9 - 117760/3.
-2*(w - 5888)*(w - 30)/9
Suppose z**5/8 + 7*z**4/8 - 195*z**3/2 + 185*z**2/2 + 388*z - 384 = 0. Calculate z.
-32, -2, 1, 2, 24
Find x, given that x**3 + 51788*x**2 - 207165*x + 155376 = 0.
-51792, 1, 3
Let -2*y**3/9 + 488*y**2/9 + 2606*y - 2660 = 0. What is y?
-42, 1, 285
Find b such that -6*b**4 + 1269*b**3 - 33204*b**2 + 14391*b + 48870 = 0.
-1, 3/2, 30, 181
Determine z, given that 264*z**5 - 1292*z**4 - 1736*z**3 - 108*z**2 + 72*z = 0.
-1, -3/11, 0, 1/6, 6
Let 4*s**3 - 568*s**2 + 2596*s + 19728 = 0. Calculate s.
-4, 9, 137
Factor -3*g**2/5 - 2046*g/5 + 4104/5.
-3*(g - 2)*(g + 684)/5
Find f such that 2*f**3/15 + 36548*f**2/15 - 4874*f - 36552/5 = 0.
-18276, -1, 3
Suppose 4*q**2 - 3820*q - 74024 = 0. Calculate q.
-19, 974
Factor 3*v**2 - 903*v + 67230.
3*(v - 166)*(v - 135)
Let -15*j**4/2 - 122691*j**3/2 - 49041*j**2/2 + 269931*j/2 + 98148 = 0. Calculate j.
-8179, -1, 8/5
Determine c, given that c**4/5 - 4*c**3/5 - 972*c**2/5 - 11648*c/5 - 19456/5 = 0.
-16, -2, 38
Factor 10*z**3 - 110682*z**2 + 306273696*z - 61250312.
2*(z - 5534)**2*(5*z - 1)
Solve 2*f**5 - 16*f**4 - 982*f**3 + 10852*f**2 + 13696*f - 23552 = 0 for f.
-23, -2, 1, 16
Factor -5*r**4 - 1510*r**3.
-5*r**3*(r + 302)
Let 4*i**4/9 - 56*i**3 + 5204*i**2/9 - 1856*i + 1840 = 0. What is i?
2, 3, 6, 115
Factor 2*k**4/3 - 748*k**3 + 8880*k**2.
2*k**2*(k - 1110)*(k - 12)/3
Find o, given that -2*o**5/7 - 2382*o**4/7 - 710418*o**3/7 - 99110*o**2 + 606900*o = 0.
-595, -3, 0, 2
Factor t**3 - 536*t**2 - 557*t + 10740.
(t - 537)*(t - 4)*(t + 5)
Let -4*m**5 - 1140*m**4 - 12196*m**3 - 38460*m**2 - 27400*m = 0. What is m?
-274, -5, -1, 0
Find u such that u**5/4 - 67*u**4/4 + 304*u**3 - 767*u**2 - 64*u + 1024 = 0.
-1, 2, 32
Solve 2*s**3/7 - 1874*s**2/7 + 20392*s/7 - 18520/7 = 0.
1, 10, 926
Factor 2*y**4/5 - 8*y**3 - 704*y**2/5 - 2048*y/5.
2*y*(y - 32)*(y + 4)*(y + 8)/5
Determine m so that -m**2/2 + 72305*m/2 - 36152 = 0.
1, 72304
Factor -2*d**3/19 - 272*d**2/19 - 4830*d/19.
-2*d*(d + 21)*(d + 115)/19
Factor 1922*s**4/13 - 496*s**3/13 + 32*s**2/13.
2*s**2*(31*s - 4)**2/13
Factor -13509602*t**2 + 41584*t - 32.
-2*(2599*t - 4)**2
Find s, given that -2*s**4 + 1468*s**3 - 17398*s**2 + 50588*s - 34656 = 0.
1, 3, 8, 722
Find r, given that r**3 - 29301*r**2 - r + 29301 = 0.
-1, 1, 29301
Determine j so that -2*j**3/9 + 170*j**2/9 - 2576*j/9 + 1496/3 = 0.
2, 17, 66
Factor 3*w**3/5 - 18156*w**2 + 686659911*w/5 + 1373682966/5.
3*(w - 15131)**2*(w + 2)/5
Let 2*n**2/11 - 7930*n/11 + 157800/11 = 0. Calculate n.
20, 3945
Factor -3005*r**4/4 + r**3/2.
-r**3*(3005*r - 2)/4
Find o such that 3*o**3/8 - 10125*o**2/8 + 1067238*o + 1068504 = 0.
-1, 1688
What is c in 267*c**5/5 - 42807*c**4/5 + 2263482*c**3/5 - 38161692*c**2/5 - 68811768*c/5 - 5668704 = 0?
-1, -60/89, 54
Factor 4*l**3/5 + 3552*l**2/5 - 28672*l/5.
4*l*(l - 8)*(l + 896)/5
Let -2*v**5/11 + 72*v**4/11 - 608*v**3/11 + 1380*v**2/11 + 2050*v/11 - 7500/11 = 0. What is v?
-2, 3, 5, 25
Determine x so that x**2/5 - 94*x/5 - 624 = 0.
-26, 120
Suppose -n**4 + 228*n**3 + 4884*n**2 + 19088*n - 59520 = 0. Calculate n.
-12, -10, 2, 248
Factor 5*v**2 + 875*v - 18430.
5*(v - 19)*(v + 194)
What is k in k**4/9 - 6908*k**3/9 + 233716*k**2/9 = 0?
0, 34, 6874
Factor -5*b**2 - 5260*b - 419775.
-5*(b + 87)*(b + 965)
Factor -u**2/7 - 4275*u/7 + 34264/7.
-(u - 8)*(u + 4283)/7
Factor 2*v**2 + 22316*v + 44624.
2*(v + 2)*(v + 11156)
Factor -c**2 - 253786*c - 16101833449.
-(c + 126893)**2
Let -n**5/3 + 18*n**4 - 110*n**3 - 16364*n**2/3 + 49569*n - 98022 = 0. Calculate n.
-17, 3, 6, 31
Solve -2*s**3/19 + 58624*s**2/19 - 234472*s/19 + 234464/19 = 0 for s.
2, 29308
Factor 3*h**4 - 126*h**3 + 1836*h**2 - 10626*h + 18513.
3*(h - 17)*(h - 11)**2*(h - 3)
Factor i**2/4 - 805*i/4.
i*(i - 805)/4
Factor -210920*j**2 - 52840*j - 55/2.
-5*(4*j + 1)*(21092*j + 11)/2
Factor 12*m**2/5 - 350*m - 3848/5.
2*(m - 148)*(6*m + 13)/5
Solve -11*y**3 + 6530*y**2 + 2376*y = 0.
-4/11, 0, 594
Determine z so that 46*z**5/19 + 1798*z**4/19 + 18510*z**3/19 + 958*z**2 + 76*z = 0.
-19, -1, -2/23, 0
Let -2*w**5/15 - 168*w**4/5 - 38914*w**3/15 - 920092*w**2/15 + 652984*w/5 - 199888/3 = 0. Calculate w.
-130, -62, 1
Suppose -n**2/6 - 269*n/3 - 2380 = 0. Calculate n.
-510, -28
Let -10*k**3 - 47895*k**2 + 311775*k + 167860 = 0. What is k?
-4796, -1/2, 7
Determine c so that -20*c**3/7 + 502*c**2/7 + 468*c/7 = 0.
-9/10, 0, 26
Find n, given that n**2/4 + 89289*n + 7972525521 = 0.
-178578
Factor -5*u**3 - 40*u**2 + 11935*u + 259470.
-5*(u - 54)*(u + 31)**2
Solve u**2/4 - 119833*u/4 - 59917/2 = 0 for u.
-1, 119834
Factor -3*b**2/4 + 15*b/2 + 20097/4.
-3*(b - 87)*(b + 77)/4
Factor -3*m**2 + 1026*m + 22869.
-3*(m - 363)*(m + 21)
Factor 4*u**3 + 4*u**2 - 32768*u - 65520.
4*(u - 91)*(u + 2)*(u + 90)
Determine z so that 6*z**2/11 + 1548*z + 84990/11 = 0.
-2833, -5
Solve 3*q**2/4 - 33597*q + 376252803 = 0 for q.
22398
Find s such that -2*s**2/9 + 80*s + 16808/9 = 0.
-22, 382
Solve 5*w**2 - 1160*w - 149040 = 0 for w.
-92, 324
Factor s**5/7 - 71*s**4/7 - 296*s**3/7 - 300*s**2/7.
s**2*(s - 75)*(s + 2)**2/7
Factor 3*c**4/8 + 2589*c**3/4 + 10347*c**2/8 + 1293*c/2.
3*c*(c + 1)**2*(c + 1724)/8
Factor 3*d**2/2 + 669*d + 1335/2.
3*(d + 1)*(d + 445)/2
Factor r**3/3 + 85*r**2 + 6549*r + 476897/3.
(r + 59)**2*(r + 137)/3
Suppose 36*n**5/7 + 1164*n**4/7 + 11785*n**3/7 + 32790*n**2/7 - 47716*n/7 - 149784/7 = 0. Calculate n.
-79/6, -6, -2, 2
Determine n so that -3*n**3 - 1704*n**2 + 10548*n + 123984 = 0.
-574, -6, 12
Factor 3*s**5 - 4905*s**4 + 1884681*s**3 + 99726621*s**2.
3*s**2*(s - 841)**2*(s + 47)
What is c in 425*c**5 - 1690*c**4 - 40*c**3 + 6800*c**2 - 6640*c - 160 = 0?
-2, -2/85, 2
Let -2601*z**2/10 - 100776*z/5 - 1952288/5 = 0. What is z?
-1976/51
Suppose -4*m**4 - 26*m**3 + 174*m**2 - 256*m + 88 = 0. What is m?
-11, 1/2, 2
Factor 32*w**3/9 - 284*w**2/9 + 68*w - 40.
4*(w - 6)*(w - 1)*(8*w - 15)/9
Determine q so that q**4/4 - 16506*q**3 + 544929083*q**2/2 - 544879566*q + 1089726121/4 = 0.
1, 33011
Factor c**2 + 12624*c - 265545.
(c - 21)*(c + 12645)
Suppose -4*h**4 + 3364*h**3 - 26476*h**2 - 149796*h - 119952 = 0. What is h?
-3, -1, 12, 833
Factor 903*c**3 + 1803*c**2 - 6*c.
3*c*(c + 2)*(301*c - 1)
Find t, given that 8*t**4 + 10010*t**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
s: 5, a: 2, i: 3, l: 1, h: 1}?
1/143
What is prob of picking 1 e and 1 l when two letters picked without replacement from blelp?
1/5
Four letters picked without replacement from qqqq. Give prob of picking 4 q.
1
Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {f: 3, b: 2, g: 1, i: 1, w: 7}.
1/91
Calculate prob of picking 1 y and 1 c when two letters picked without replacement from hcdddyv.
1/21
Calculate prob of picking 1 c and 1 i when two letters picked without replacement from acqciqdj.
1/14
Three letters picked without replacement from crcprplrrpcrcrcprp. What is prob of picking 1 r and 2 p?
35/408
Calculate prob of picking 1 b, 1 r, and 1 v when three letters picked without replacement from {r: 1, e: 4, n: 4, b: 3, y: 2, v: 1}.
3/455
Calculate prob of picking 1 s and 2 m when three letters picked without replacement from {x: 5, m: 4, s: 2}.
4/55
Calculate prob of picking 1 b, 2 i, and 1 w when four letters picked without replacement from {b: 13, y: 1, w: 3, i: 2}.
13/1292
Four letters picked without replacement from {r: 4}. What is prob of picking 4 r?
1
Calculate prob of picking 1 u and 2 w when three letters picked without replacement from {j: 3, w: 6, f: 2, g: 2, u: 3, z: 2}.
15/272
Calculate prob of picking 3 o when three letters picked without replacement from {o: 2, l: 1, w: 2, c: 1, k: 1}.
0
What is prob of picking 2 y when two letters picked without replacement from ayy?
1/3
What is prob of picking 1 s and 1 e when two letters picked without replacement from tksektetekeekskseekk?
21/190
Calculate prob of picking 4 v when four letters picked without replacement from {v: 7}.
1
Two letters picked without replacement from zoodcc. Give prob of picking 1 z and 1 o.
2/15
Three letters picked without replacement from wrwwrrr. What is prob of picking 2 w and 1 r?
12/35
Calculate prob of picking 3 e and 1 g when four letters picked without replacement from {e: 7, g: 7}.
35/143
What is prob of picking 1 j and 1 p when two letters picked without replacement from mpjjmjmmmjjjmpmj?
7/60
Three letters picked without replacement from {a: 3, r: 17}. What is prob of picking 3 r?
34/57
Three letters picked without replacement from {w: 2, y: 1, t: 4, v: 3, c: 4}. Give prob of picking 2 w and 1 t.
1/91
Three letters picked without replacement from uuuujwpt. What is prob of picking 2 u and 1 t?
3/28
Two letters picked without replacement from ytyttyyyizyzyt. Give prob of picking 1 y and 1 z.
2/13
Two letters picked without replacement from lpffofzllplzffofoq. Give prob of picking 1 o and 1 p.
2/51
What is prob of picking 1 r and 2 b when three letters picked without replacement from rrrprrrrprrbrbppprr?
4/323
Calculate prob of picking 1 p and 2 q when three letters picked without replacement from {o: 2, u: 1, q: 3, p: 1}.
3/35
What is prob of picking 2 d when two letters picked without replacement from ddddddddrddd?
5/6
What is prob of picking 2 c when two letters picked without replacement from fftfcgcscs?
1/15
Two letters picked without replacement from {j: 1, g: 2, b: 3, n: 4}. Give prob of picking 2 b.
1/15
Two letters picked without replacement from {h: 1, q: 5, c: 3, o: 2, v: 1}. Give prob of picking 1 c and 1 v.
1/22
Calculate prob of picking 1 x, 1 m, and 2 w when four letters picked without replacement from mmmsmwmxsmwmmwxs.
12/455
What is prob of picking 2 v when two letters picked without replacement from {v: 17, c: 3}?
68/95
Four letters picked without replacement from teepvgat. What is prob of picking 3 p and 1 e?
0
Two letters picked without replacement from ssepspesiesdpk. Give prob of picking 1 d and 1 i.
1/91
Three letters picked without replacement from zzijuszizs. Give prob of picking 1 j, 1 u, and 1 i.
1/60
Four letters picked without replacement from {i: 1, g: 6, l: 2, z: 1, y: 2}. What is prob of picking 2 y, 1 z, and 1 g?
2/165
What is prob of picking 1 q, 1 r, and 1 g when three letters picked without replacement from {q: 1, o: 4, g: 6, r: 1, x: 3}?
6/455
Three letters picked without replacement from uxxtjuutxptux. Give prob of picking 1 x, 1 j, and 1 p.
2/143
What is prob of picking 1 y and 1 r when two letters picked without replacement from {r: 3, u: 2, z: 1, y: 1, k: 4}?
3/55
What is prob of picking 2 c and 1 p when three letters picked without replacement from cbkpycb?
1/35
Four letters picked without replacement from {x: 1, g: 3, s: 3, h: 1, u: 5}. What is prob of picking 1 u and 3 g?
1/143
Four letters picked without replacement from {k: 16, h: 2}. Give prob of picking 4 k.
91/153
Four letters picked without replacement from {q: 11, z: 1, f: 7}. Give prob of picking 4 q.
55/646
Two letters picked without replacement from ththttthtthtth. Give prob of picking 2 h.
10/91
Calculate prob of picking 2 b when two letters picked without replacement from {y: 7, q: 4, b: 7}.
7/51
What is prob of picking 4 j when four letters picked without replacement from {j: 6, w: 1, o: 4}?
1/22
Two letters picked without replacement from {k: 1, x: 5, d: 3, j: 1}. Give prob of picking 1 x and 1 k.
1/9
Four letters picked without replacement from glgggllggllgllgglul. Give prob of picking 4 l.
21/646
Calculate prob of picking 2 h when two letters picked without replacement from jjjjhhjjjjhjjhjjjjjj.
3/95
Two letters picked without replacement from uupupuuupupuuupu. What is prob of picking 2 p?
1/12
Two letters picked without replacement from gihdhxhh. What is prob of picking 2 h?
3/14
Three letters picked without replacement from kkkkkkkhkhkhkkkhkkk. What is prob of picking 3 k?
455/969
What is prob of picking 2 i when two letters picked without replacement from {o: 2, i: 2}?
1/6
Two letters picked without replacement from {i: 5, g: 1, a: 3, c: 2, e: 1}. Give prob of picking 1 e and 1 g.
1/66
Two letters picked without replacement from irojrvr. Give prob of picking 1 v and 1 o.
1/21
Three letters picked without replacement from {e: 11, d: 2, a: 1}. Give prob of picking 1 a and 2 e.
55/364
Calculate prob of picking 3 g when three letters picked without replacement from ggggg.
1
Three letters picked without replacement from {p: 15, q: 4}. Give prob of picking 2 p and 1 q.
140/323
Two letters picked without replacement from aaaaa. What is prob of picking 2 a?
1
Four letters picked without replacement from yxycyccbyjxjbyb. Give prob of picking 2 j and 2 y.
2/273
What is prob of picking 1 m and 1 v when two letters picked without replacement from {p: 1, c: 1, m: 3, v: 2, w: 5}?
1/11
Two letters picked without replacement from {i: 4, a: 3, l: 5, m: 1, e: 1}. What is prob of picking 2 a?
3/91
Two letters picked without replacement from yyyyyyyyy. Give prob of picking 2 y.
1
What is prob of picking 1 w and 1 a when two letters picked without replacement from aiwwia?
4/15
What is prob of picking 2 d when two letters picked without replacement from {i: 1, h: 2, d: 6, m: 4, o: 3}?
1/8
Three letters picked without replacement from mcizzmmaiiz. What is prob of picking 1 z, 1 c, and 1 i?
3/55
Two letters picked without replacement from ddnmmnww. What is prob of picking 2 n?
1/28
Two letters picked without replacement from hmhddttdbotbdmb. What is prob of picking 2 m?
1/105
What is prob of picking 2 k when two letters picked without replacement from kkxxkxkkxkkkkxxxkxxx?
9/38
Two letters picked without replacement from gilll. Give prob of picking 1 i and 1 g.
1/10
What is prob of picking 1 r and 2 t when three letters picked without replacement from {i: 3, a: 6, r: 1, g: 4, t: 2}?
1/560
Calculate prob of picking 1 b and 2 c when three letters picked without replacement from {b: 7, c: 9}.
9/20
Four letters picked without replacement from httthhthtthth. Give prob of picking 1 h and 3 t.
42/143
Three letters picked without replacement from {b: 3, m: 3}. Give prob of picking 3 m.
1/20
Three letters picked without replacement from {k: 7, q: 2, o: 11}. What is prob of picking 1 k and 2 q?
7/1140
Two letters picked without replacement from mqqmmxaqqmqqeqemqqjm. What is prob of picking 2 m?
3/38
What is prob of picking 1 j and 2 i when three letters picked without replacement from itiijjjtiijjjiji?
21/80
Three letters picked without replacement from {n: 2, p: 6, c: 4, g: 1, a: 2}. What is prob of picking 2 a and 1 c?
4/455
Calc
|
{
"pile_set_name": "DM Mathematics"
}
|
)).
-1/4
(32/3168*-3)/(((-1)/(-6))/1)
-2/11
Evaluate 1/((-4)/6*(-10)/(-2040)*-18).
17
What is the value of 203/290*(-6)/(-168)*10?
1/4
((2592/156)/18)/((-9)/(-78))
8
((-10)/(-9))/(85/102)*3/(-10)
-2/5
What is the value of 1/((-1)/(-8)*(-64)/16)?
-2
((-340)/(-3570))/((-2)/7)
-1/3
Evaluate -3*5/(-385)*119/51.
1/11
91/208*-2*(-1)/((-21)/(-30))
5/4
Calculate 60/27*-3*(-207)/3795.
4/11
(-1)/(2/(-8)*(-20)/(-65))
13
((-2536)/2853)/((-78)/(-27))
-4/13
What is the value of 1/(5/6)*-50*(-14)/(-112)?
-15/2
What is (-8)/(-2)*159/848*32/(-30)?
-4/5
What is the value of (3/(-222))/((3762/152)/99)?
-2/37
What is 2/582*(-27)/(-9)*2?
2/97
What is the value of (-77)/(-18)*12/(-2394)*-114?
22/9
What is the value of (20/15)/((42/14)/((-18)/4))?
-2
What is the value of (-5)/(5/(((-3)/(-5))/(21/525)))?
-15
What is (2*12/72)/(-4)?
-1/12
What is (1/2)/((-105)/(-735))*(-10)/14?
-5/2
(-132)/198*(-3)/56
1/28
Evaluate ((-4)/(-56))/(132/231).
1/8
Calculate 6/(-14)*((-462)/14)/33.
3/7
Evaluate 8/(-10)*2/((-80)/210*-7).
-3/5
Calculate (-2)/6*1*1026/38.
-9
Calculate 130/52*(1/(-39))/((-40)/(-96)).
-2/13
What is 75/(-5)*-1*1/(-1)?
-15
What is (-7)/(21/30)*(-62)/(-31)?
-20
What is (-7)/21*21*3/((-15)/(-10))?
-14
What is the value of 1/((1/3)/(589/(-1674)*-18))?
19
(144/40)/6*(-170)/(-2397)
2/47
((-13568)/212)/(20/5)
-16
What is ((-1)/(-6))/(((-3078)/(-54))/4446)?
13
What is (6*(-8)/(-336))/(1/175)*1?
25
Calculate (-2*2/8*-6)/(14/(-2)).
-3/7
Evaluate 154/(-6)*(-4239)/(-9891).
-11
What is (-5)/((2625/(-36))/25*(-18)/63)?
-6
Evaluate 390/225*10/(-2)*15/(-50).
13/5
What is the value of (1188/33264)/(2/56)?
1
What is the value of ((-25)/5)/((-2)/36*3*-3)?
-10
What is the value of 17/153*-3*3*-15?
15
((-2530)/(-1012))/(5/(-32))
-16
Evaluate (11/(220/(-8)))/(8*110/600).
-3/11
What is (-2)/3*(-486)/81?
4
Calculate (51/68)/(12/64)*(-7)/2.
-14
Evaluate (-243)/6*(-752)/1692.
18
Evaluate (2*(-55)/(-20))/(759/276).
2
(6/(-40))/(93/1395)
-9/4
((-5)/10)/((-2)/(-16))
-4
Evaluate -3*(156/(-396))/(-13).
-1/11
Calculate (((-5643)/22)/57)/(((-2)/4)/(-1)).
-9
Evaluate (-3305)/1322*16/(-190).
4/19
What is 2*(-12)/30*-5*(-4)/(-200)?
2/25
What is (490/21)/10*6/(-2)?
-7
Evaluate -88*-6*(-10)/(-240).
22
Calculate (-45)/20*1*60/(-1890).
1/14
Evaluate ((-6)/(-7))/((4/(-8))/(483/(-207))).
4
What is ((-1258)/999)/(40/(-180))?
17/3
What is 5/(40/(-64))*7/(-14)?
4
What is the value of (308/198)/((-2)/3)?
-7/3
Evaluate (11/33)/(5/(-3)).
-1/5
What is ((-3)/2)/((8/((-32)/3))/1)?
2
What is 24/(-2)*(-22)/44?
6
What is the value of (3/15)/(((-7)/(-70)*10)/(-1))?
-1/5
What is (-1)/4*0/(-3)*18/18?
0
203/29*(-11)/((-154)/(-20))
-10
Evaluate -2*((-3080)/96)/55.
7/6
Evaluate 140/12*(-33)/(-55).
7
54/720*-8*(-10)/12*-6
-3
What is -4*(2*15/(-120))/((-1)/13)?
-13
Evaluate 485/1164*(-4)/(160/12).
-1/8
(4/(-2))/((-15)/(-3))*125/(-50)
1
Evaluate (6/1)/(((-663)/52)/17).
-8
What is the value of 70*(-3)/(-10)*(-6)/(-294)?
3/7
Evaluate (-3)/12*96/(-10)*(-75)/(-20).
9
Evaluate (-32)/((-832)/(-273))*2.
-21
What is (-21)/(-7)*((-94)/376)/((-6)/(-8))?
-1
Calculate 12*(-16)/36*3.
-16
(132/(-11)*(-7)/112)/((-9)/(-2))
1/6
Evaluate ((-30)/175)/(51/(-17)).
2/35
What is -15*6/(-90)*-15?
-15
What is 64/(-64)*10*9/6?
-15
What is the value of (-21)/14*13/(78/28)?
-7
What is 3/9*729/405?
3/5
What is the value of ((-3)/(126/4))/((45/(-70))/(-3))?
-4/9
54/(-144)*1*(-3)/(-36)
-1/32
Calculate ((-6)/(-14))/((816/119)/(-24)).
-3/2
What is ((-4)/(-10))/(((-144)/60)/6)?
-1
What is (-99)/660*12/(-27)?
1/15
Calculate -2*(-819)/364*(-14)/3.
-21
(-2466)/(-137)*(2/2)/2
9
What is the value of 6*55*(-38)/(-1140)?
11
What is ((-18)/(1980/(-11))*-2)/(2/(-50))?
5
Evaluate (-1)/((238*16/224)/(8/(-2))).
4/17
(2*11/((-825)/18))/(180/1200)
-16/5
((-2)/(-27))/((-572)/264*(-2)/26)
4/9
Calculate 16/12*(-3)/468*18.
-2/13
What is the value of -1*((-36)/(-186))/(-2)*6/9?
2/31
What is (34/(-357))/(5*6/84*2)?
-2/15
(7/(126/(-4)))/(7/((-252)/(-16)))
-1/2
12*(1/8)/((-21)/((-525)/(-10)))
-15/4
Evaluate 3*(10/(560/12))/(21/(-28)).
-6/7
Evaluate ((-3)/(-2))/(63/28*(-24)/(-108)).
3
What is the value of (6*11*9/1485)/((-2)/(-65))?
13
Calculate (-2)/(-5)*1385/6648.
1/12
Evaluate ((-3)/(-78))/(246/(-615)*(-10)/(-24)).
-3/13
Calculate (6/(-8))/((-142)/(-213))*1/(-3).
3/8
(9/3)/(432/(-96))
-2/3
Calculate (-240)/5520*(-4)/(-2).
-2/23
What is the value of -7*14*(-18)/(-441)?
-4
Evaluate (((-57)/(-9))/(-19))/(2/84).
-14
Evaluate (((-11137)/(-37))/(-43))/((3/2)/(-3)).
14
Calculate 1/(18*(-8)/(-48)).
1/3
What is (3*(-15)/((-3150)/(-28)))/((-38)/(-10))?
-2/19
What is the value of ((-2)/(-4))/((-5)/10*(-154)/56)?
4/11
Evaluate (-2)/6*((-210)/(-119))/5.
-2/17
Calculate 60*120/2304*-8.
-25
Evaluate ((-5)/(-150)*10)/((-11)/((-693)/(-175))).
-3/25
What is -7*((-442)/(-273))/(-34)?
1/3
Calculate ((-2)/8)/((26/(-65))/(224/35)).
4
What is the value of 20/(-44)*16/(-520)*-13?
-2/11
What is 6/((-375)/25*2/4*1)?
-4/5
What is 4/((-24)/21)*18/36?
-7/4
Calculate 8/(-24)*(-8)/(440/15).
1/11
(-2)/(88/(-20))*8/20
2/11
What is (-1744)/252226*39/(-12)?
2/89
Calculate (4/22)/(25*(-28)/(-50050)).
13
Evaluate 42*((-258)/602)/(5/10).
-36
Evaluate 80/24*(2592/45)/(-16).
-12
Evaluate -1*(64/1120)/(1/(-10))*-1.
-4/7
(129/(-430))/((-91)/780)
18/7
-1*(30/(-9))/(-10)*18
-6
What is (-3)/5*1825/(-4380)?
1/4
What is 1*(-3)/(-15)*(-41)/205?
-1/25
(6/285)/(4/20)
2/19
Calculate (16/(-6))/(221/1989).
-24
What is (-200)/60*66*(-8)/160?
11
What is the value of ((-48)/14)/(606/(-5656))?
32
Calculate ((-18)/(360/(-130)))/(3/6).
13
Evaluate ((1815/99)/11)/((2/1)/(-24)).
-20
What is (15/(-7))/(5*(-312)/910)?
5/4
Calculate (32/(-50)*(-20)/(-8))/((-18)/(-45)).
-4
(756/90)/(-4*7/140*2)
-21
(4/(-435)*-3)/(1/(-10)*4)
-2/29
What is the value of 2/133*(8/18)/(428/(-2247))?
-2/57
What is ((-10)/8)/(10*1*4/(-8))?
1/4
What is the value of 162/(-225)*(-100)/(-120)?
-3/5
What is the value of (-4)/4*-1*10/((-1760)/(-48))?
3/11
What is (-100)/15*(-45)/30*4/(-5)?
-8
Calculate 6/((6/21)/((-38)/1064)).
-3/4
Evaluate (((-2)/(-2))/((-38)/(-152)))/(12/9).
3
Evaluate ((-40)/((-92)/23))/(2/2).
10
Evaluate 9345/(-3204)*16/(-14).
10/3
Calculate 4*(-19575)/540*(-1)/(-5).
-29
11/(-4)*53/(1007/76)
-11
Evaluate (-2)/(-56)*4858/(-2082).
-1/12
What is the value of (2/(-4))/((8/(-96)*6)/(-1))?
-1
What is (((-14)/(-15))/14)/((-18)/(-30))?
1/9
Evaluate (1360/(-60))/17*-3*1.
4
What is the value of ((-15)/6)/(3065/41684)?
-34
What is the value of 14176/12404*((-9)/(-4))/3?
6/7
What is ((-24)/(-40))/(-3*(-56)/70)?
1/4
Evaluate ((-8)/(-2))/(4/6)*1255/(-502).
-15
Evaluate ((4/(-16))/(8/(-16)))/(3/(-18)).
-3
Calculate ((-6)/(-2))/(((-155)/(-124))/(1/(-8))).
-3/10
What is ((-872)/1526)/(1/(-21))?
12
2*14/(-12)*87/(20097/22)
-2/9
Calculate (-34*(-1)/(-1))/((-3100)/(-1550)).
-17
What is the value of 3*-78*(-23)/207?
26
(-56)/(-11)*(-7997)/1454
-28
What is -23*(-20)/(-11040)*-12?
1/2
Evaluate (-2)/4*21/6*240/84.
-5
What is the value of 0/((-1)/3*(-45)/(-5)*-1)?
0
What is the value of (((-2040)/(-15))/34)/(4/6)?
6
((-65)/(-26))/(50/160)
8
Calculate (-15)/21*(1330/60)/19.
-5/6
Calculate ((-5)/((-250)/5))/((-112)/(-80)).
1/14
(9/(-5))/(-11*(-1)/(-55))
9
What is ((-64)/((-6656)/78))/((-2)/(-8)*-1)?
-3
What is the value of (9*(-9)/(-81))/((6/(-57))/2)?
-19
(4/(-60)*-3)/(3/105)
7
Evaluate 15/10*(1/7)/(2/(-4)).
-3/7
What is (144/126)/(((-18)/(-21))/(-3))*1?
-4
330/88*3*10/15
15/2
What is (11/3)/(-2*4/120*5)?
-11
What is the value of 6/((7/7)/(4/(4/(-1))))?
-6
Calculate (-1957)/15656*4*-6.
3
Calculate ((72/(-52))/3)/((-660)/(-17160)).
-12
Evaluate (-6)/17*((-81)/27)/(-9).
-2/17
Calculate (-5)/(-2)*(9/(-60))/(108/864).
-3
Evaluate (4*24/(-288))/((-4)/6).
1/2
Calculate (18/12)/(21/(-28)).
-2
What is the value of (7/(-21))/(11/(-3630)*5)?
22
What is the value of (-279)/(-527)*(-10)/(-45)?
2/17
4/7*(-4)/(-128)*4
1/14
Evaluate ((-245)/70)/((-210)/(-1860)).
-31
What is the value of ((-156)/(-12))/143*-3*4/12?
-1/11
Calculate (-3)/(-4)*((-338)/(-39))/(-13)*2.
-1
What is the value of ((-2)/32)/(93/93)?
-1/16
Calculate ((-13)/(-13)*180/(-25))/(4/15).
-27
What is (100/30)/((-16)/72)?
-15
What is the value of ((-192)/160)/((-15)/(-175))?
-14
What is the value of (((-100)/(-6))/(-10))/(1/21*7)?
-5
Calculate ((-27)/(-84))/1*(2856/144)/17.
3/8
(80/400)/(1/((-20)/(-2)))
2
What is the value
|
{
"pile_set_name": "DM Mathematics"
}
|
c(v) wrt v.
-246*v**2 - 2*v
Let c(x) be the second derivative of 523*x**7/14 - x**3/3 + 35*x**2/2 - 149*x + 1. What is the second derivative of c(z) wrt z?
31380*z**3
Let z(b) = -2663*b**3 + 56*b**2 + 29*b + 10. Let l(x) = 2662*x**3 - 52*x**2 - 30*x - 8. Let f(k) = 5*l(k) + 4*z(k). Find the third derivative of f(o) wrt o.
15948
Let j(g) = 1773*g**3 + 1578*g**2 + 36*g - 90. Let f(u) = -709*u**3 - 631*u**2 - 14*u + 35. Let z(x) = 18*f(x) + 7*j(x). Find the third derivative of z(n) wrt n.
-2106
Let q(c) be the second derivative of -5/42*c**7 - 19/6*c**4 + 16*c - 1/3*c**3 + 0*c**2 + 0*c**5 + 0 + 0*c**6. What is the third derivative of q(p) wrt p?
-300*p**2
Let q = -2191 - -2193. Let m(c) be the first derivative of 0*c**q + 0*c**4 + 0*c + 9/5*c**5 - c**3 - 5. What is the third derivative of m(g) wrt g?
216*g
Let x(a) = -12230*a**3 - 15100*a**2 - 26. Let v(b) = -6113*b**3 - 7551*b**2 - 12. Let o(y) = 13*v(y) - 6*x(y). What is the third derivative of o(u) wrt u?
-36534
Let g = -129 - -137. Let r be 12/g*96/9. What is the first derivative of 4*y + 2*y - 9 + 2*y**2 - r + 0 wrt y?
4*y + 6
What is the derivative of -2622*h**2 + 304 + 344 + 789 + 1226 wrt h?
-5244*h
Let q(n) = 18*n**2 - 1. Let t be q(1). Let l(y) = -2*y + 2. Let w be l(0). Find the third derivative of -r**3 - 18*r**3 + r**3 + t*r**w wrt r.
-108
Let n be (51/3)/(5/10). Find the third derivative of 14*f**2 - 35*f**4 + 6*f**2 + 7*f**3 + 4*f**2 + n*f**4 wrt f.
-24*f + 42
Let o(w) be the second derivative of 28/3*w**3 + 1/4*w**4 + 1 - 1/42*w**7 + 0*w**2 - 5*w + 0*w**6 + 7/5*w**5. Find the third derivative of o(u) wrt u.
-60*u**2 + 168
Let h(t) = -t**3 - 13*t**2 - 20*t + 26. Let i be h(-11). Differentiate 187*q - 187*q + 7 + 13*q**i - 5*q**4 with respect to q.
32*q**3
Let j(y) = 1099*y**3 + 72*y**2 - 17*y + 29946. Let q(s) = 440*s**3 + 30*s**2 - 7*s + 11978. Let h(b) = -5*j(b) + 12*q(b). Differentiate h(n) with respect to n.
-645*n**2 + 1
Let w be 1/(-3 - (-10)/4). Let y be w*((-29)/10 + (-20)/(-50)). What is the first derivative of -34*r**4 - 1 - 99*r**3 - y + 99*r**3 wrt r?
-136*r**3
What is the second derivative of -46743 + 46743 + 4596*q**4 + 3926*q wrt q?
55152*q**2
Let z(c) be the first derivative of 73/5*c**5 + 0*c**4 + 0*c**3 + 53*c + 1/2*c**2 - 35. Find the second derivative of z(s) wrt s.
876*s**2
Let j(i) = 43094*i**2 + 22*i + 14935. Let a(l) = -53868*l**2 - 28*l - 18669. Let n(x) = 11*a(x) + 14*j(x). Differentiate n(k) with respect to k.
21536*k
Let m(w) = 2*w + 16. Let i be m(-6). Differentiate -12 - 13*v**2 + i*v**2 + 72 - 8*v**2 with respect to v.
-34*v
Find the second derivative of 16350 + 6135*y**2 - 16350 + 6649*y wrt y.
12270
Let h(i) = 3*i**4 + 67*i**3 + 15*i**2 + 139*i + 2. Let v(m) = 2*m**3 + 8*m**2 - m. Let k(d) = h(d) - 2*v(d). What is the third derivative of k(p) wrt p?
72*p + 378
Suppose -3*d = m - 26, -d + 4 = -0*d. Let x(z) = 4*z - 31. Let i be x(m). Find the third derivative of -i*q**2 + 41*q**2 + 22*q**5 - 18*q**2 wrt q.
1320*q**2
Let a(j) be the first derivative of 4450*j**3/3 + 3*j**2 + 486*j - 1325. Find the second derivative of a(t) wrt t.
8900
Find the second derivative of 22454 + 6*h + 2851*h**2 - 27*h - 22435 - 15*h wrt h.
5702
Suppose 0 = -5*v + 3*v + p - 5, -25 = -v - 5*p. Suppose 0 = 5*d - 10 - v. Find the third derivative of 0*o**3 + 9*o**6 + 18*o**d - 14*o**2 + 0*o**3 wrt o.
1080*o**3
Suppose -21*g = -22*g + 4. Let s(x) be the first derivative of -11 + 0*x**g - 14/5*x**5 + 0*x**3 - 15/2*x**2 + 0*x. Find the second derivative of s(v) wrt v.
-168*v**2
Let d(h) be the third derivative of 271*h**9/168 - h**5/60 + 33*h**4/8 + 350*h**2. What is the third derivative of d(n) wrt n?
97560*n**3
Let h(g) = 20*g**3 - 13*g**2 + 9760*g + 11873. Let a(p) = -3*p**3 + 2*p**2 - 1627*p - 1979. Let t(n) = -13*a(n) - 2*h(n). What is the derivative of t(v) wrt v?
-3*v**2 + 1631
Suppose -3*d - 20 = -14. Let k(l) = 46*l**2 + 2*l + 2. Let n(i) = 138*i**2 + 6*i + 8. Let z(c) = d*n(c) + 7*k(c). What is the second derivative of z(v) wrt v?
92
Let k(m) = 2. Let q(d) = 2219*d - 3185. Let z(w) = 5*k(w) - q(w). Differentiate z(y) wrt y.
-2219
Find the second derivative of -3 + 14*p + 1082*p**4 + 321*p**4 + 331*p**4 + 200*p + 2 wrt p.
20808*p**2
Let h(r) = r**2 - 2*r - 7. Let d be h(5). Suppose -5*w + 3*a - d*a - 5 = 0, 0 = -5*w - 2*a + 10. Differentiate 30 + w*p - 2*p - p + 12*p with respect to p.
13
Let w(h) = 4*h + 2. Let j be w(1). Suppose 4*u = 3*k + 4 + j, -k - 5*u = -22. Find the third derivative of -5*p**2 - 5*p**6 - 7*p**k - 4*p**6 + 2*p**6 wrt p.
-840*p**3
Suppose 3*l + u - 5 = 0, 4*l - 6*u - 13 = -u. What is the first derivative of 3*w**2 + 64*w + 98 - 4*w**l + 3*w**2 - 76*w wrt w?
4*w - 12
Let d(a) be the first derivative of -a**4/2 - 611*a**3/3 + 21*a**2/2 + 19*a - 1198. Find the second derivative of d(k) wrt k.
-12*k - 1222
Let r be 2016/77 - (-2)/(-11). Let z = -24 + r. What is the second derivative of 140*k**2 - 67*k**2 - 67*k**z + 4*k wrt k?
12
What is the first derivative of 0*x - 2925 + 2*x**3 - 3*x**2 - 2818 - 45*x wrt x?
6*x**2 - 6*x - 45
What is the second derivative of -118*j - 107772*j**2 + 215537*j**2 - 174*j**4 - 107767*j**2 wrt j?
-2088*j**2 - 4
Find the second derivative of -13*i**4 - 237*i**2 + 55 - 21*i + 17*i - 22 + 211*i**2 wrt i.
-156*i**2 - 52
Let g(b) be the second derivative of -2987*b**8/28 + b**4/12 - b**3/6 - 651*b**2 - 40*b + 1. Find the third derivative of g(o) wrt o.
-716880*o**3
Let v(w) = 7*w - 8. Let u(h) = -1. Let q(m) = -5*u(m) + v(m). Let s be q(4). Find the second derivative of x - 9*x**2 - s*x + 5*x wrt x.
-18
Suppose 0 = 2*t - 7*t + 2*o + 24, t + 4 = -4*o. Find the first derivative of -3*s**t - 96*s**4 + 154 - 149 wrt s.
-396*s**3
Let p(s) be the first derivative of 7*s**6/3 - 46*s**5/5 + s**4/2 - 31*s**2/2 + 53*s - 6829. What is the second derivative of p(l) wrt l?
280*l**3 - 552*l**2 + 12*l
Let n(h) = 45*h - 301. Let s be n(14). Find the second derivative of -s*r + 73*r + 32*r**3 - 82266*r**2 + 82265*r**2 wrt r.
192*r - 2
Let b = -292 + 348. Find the first derivative of 2 - 104*n + 8 - b wrt n.
-104
What is the second derivative of 5813*h - 18*h**2 - 6*h**3 - 9*h**3 + h**3 + 0*h**2 - 41*h**3 wrt h?
-330*h - 36
Let c(x) = -258*x**2 + x - 103. Let z(g) = g**2 - g - 8. Let y(n) = -c(n) + 3*z(n). Find the second derivative of y(l) wrt l.
522
Let l(v) = -1136*v**2 - 6*v - 14879. Let g(t) = 4538*t**2 + 27*t + 59517. Let q(m) = 2*g(m) + 9*l(m). Find the first derivative of q(u) wrt u.
-2296*u
Suppose -2*h + 9 = 3*s, -3*s - 8*h = -7*h - 12. What is the second derivative of -1896*v**5 + v**4 - v**4 + 1922*v**s - 15*v wrt v?
520*v**3
Let f(a) be the second derivative of 3*a - 2/3*a**3 - 33 + 0*a**6 + 5/4*a**4 + 0*a**5 - 45/14*a**7 + 0*a**2. What is the third derivative of f(u) wrt u?
-8100*u**2
Let i be (-2)/(-12)*-82*-3*1. Let s = i + -18. What is the third derivative of -s*f**2 - f**2 + 3*f**6 - 27*f**6 wrt f?
-2880*f**3
Let i = 130 - 81. Let h = i - 34. Find the second derivative of h*k + 10*k + 449*k**5 - 458*k**5 wrt k.
-180*k**3
Differentiate -4562*h - 1752*h + 3264 - 53*h - 883*h wrt h.
-7250
Let k(h) be the second derivative of -2 + 53/2*h**3 + 115/2*h**2 - 157*h. Differentiate k(y) wrt y.
159
Suppose 0 = 26*m - 25*m - 3. Suppose 0 = -4*p + p, y = -2*p + 4. What is the third derivative of -4*n**3 + y*n**m - 3*n**2 - 5*n**4 + 9*n**2 wrt n?
-120*n
Suppose 0*u - 9*u + 6 = -21. Let w(s) be the first derivative of -7 + 0*s - 7*s**2 - 14/3*s**u. What is the second derivative of w(z) wrt z?
-28
Find the third derivative of -1659*c**3 - 263*c**3 - 213*c**3 + 2061*c**2 wrt c.
-12810
Let b(v) be the second derivative of -109*v**4/4 - 427*v**2/2 - 33*v + 15. Differentiate b(h) wrt h.
-654*h
Find the third derivative of -785*x**3 + 1295 - 1281 - 24*x**2 + 17*x**2 wrt x.
-4710
Find the second derivative of 119*u**5 - 1124*u - 51*u**5 + 142*u**4 - 65*u**5 wrt u.
60*u**3 + 1704*u**2
Suppose 0 = -13*j + 29 - 3. Find the second derivative of 145*w - 30*w**2 + 7*w**j - 3*w**2 - 11*w**2 wrt w.
-74
Let o(n) be the second derivative of 221*n**8/28 + n**5/10 + n**4/12 - 517*n**3/6 + 240*n - 6. Find the third derivative of o(u) wrt u.
53040*u**3 + 12
Find the third derivative of 7089554 + 2330*b**2 - 7089554 + 2461*b**3 wrt b.
14766
Let o be 4 + (-2)/6*
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + v and give g.
-660
Rearrange (-21 - 311*k**2 + 21)*((0*k - 6*k + 4*k)*(-3*k + 6*k - k) - k**2 + 12*k**2 + 8*k**2) to f*k**4 + d + y*k**2 + l*k + h*k**3 and give f.
-4665
Rearrange 37 - 78 + 2092*x + 41 to f*x + y and give f.
2092
Express -6*c**3 - 14*c - c**2 - 34 + 74 - 41 + c**4 + 0*c**2 as m*c + x*c**3 + s*c**4 + t*c**2 + b and give t.
-1
Rearrange -553*j + 49*j - 1740*j - 380*j to the form g*j + a and give g.
-2624
Express -g**2 + 23 - 24 + 1289*g + 570*g as d + a*g**2 + r*g and give d.
-1
Rearrange (-2*j + 1 - 1)*(0*j**2 - 4*j**2 + 2*j**2) - j**3 - 3 + 3 + 443*j**2 + 468*j**2 - 185*j**2 + j**3 to the form o + d*j**3 + i*j**2 + l*j and give d.
4
Rearrange -18*d + 3 - 5 - 104*d + 0 + 20*d to z + p*d and give p.
-102
Express -123*y**2 + 2*y**4 - 55*y**2 + 87*y**2 + 2*y**3 - 172*y**2 as m + d*y**2 + c*y**3 + u*y + q*y**4 and give u.
0
Rearrange -9849*u**2 + 4922*u**2 - 5*u**3 + 1474*u + 4928*u**2 to the form p*u**2 + t + i*u + f*u**3 and give i.
1474
Rearrange -1 + 2*s - 2*s**2 + 466*s**2 + 1444*s**2 - s**3 - 50*s**2 to g*s**2 + k + c*s + d*s**3 and give d.
-1
Express -36*b**2 + 339*b - 3 + 17*b**2 + 14*b**2 + b**4 - 384*b in the form w*b**3 + p + k*b**2 + d*b + o*b**4 and give d.
-45
Express 35757*p + 5 + 4*p**4 - 71521*p + 35765*p + 4*p**3 in the form r*p**2 + w*p**3 + z*p + i + v*p**4 and give v.
4
Rearrange (10*s**2 + 142*s**2 - 53*s**2)*(-64*s**2 + 47*s**2 + 38*s**2) to t*s + g*s**2 + p*s**3 + w*s**4 + l and give w.
2079
Express -86*w**2 - 2 - 110*w**3 + 86*w**2 + 15*w**3 as r*w**3 + m*w + q + t*w**2 and give r.
-95
Express (-4*u - 4*u + 7*u)*(-9 - 4 + 6)*(-2 - 2 + 2) as p + o*u and give p.
0
Rearrange -3*o**3 + 0*o**3 - 138*o**2 - 6 + 1574*o + 137*o**2 - 1580*o to the form l*o**3 + d*o + i + t*o**2 and give d.
-6
Express -545*q**2 - 20*q + 61 - 539*q**2 - 535*q**2 + 1620*q**2 as p*q**2 + w*q + v and give p.
1
Rearrange ((-3*l + 4*l + l)*(140*l + 134*l - 61*l) - 3*l**2 - l**2 + 7*l**2)*(-6*l**2 - 9*l**2 + 4*l**2) to y*l**4 + m + v*l**3 + g*l**2 + d*l and give y.
-4719
Express -1 + 3*s + 1 + 2 - 2 + 2*s + (4 + 0 - 5)*(s + 0*s + 0*s) - 343 + 228*s + 343 + (-3 + 3 + s)*(0 + 0 - 2) in the form x*s + q and give x.
230
Rearrange -b + 174 - 174 + (0*b + 5*b - 3*b)*(-6 - 1 + 2) - 30 + 16*b + 30 - 3 + 0 - b + 4 + (1 + 1 - 4)*(0 + 0 - 2*b) to m*b + a and give m.
8
Express -1 - 9*x + 186*x + 3 + 37*x + x**3 + x**2 + 3*x as i*x**3 + g*x**2 + l*x + o and give i.
1
Rearrange (4 - v**2 - 4)*(-23726 + 23726 + 281*v) + 65*v**2 - 176*v**3 + 763*v**3 - 65*v**2 to the form z*v**2 + k*v + x*v**3 + a and give x.
306
Rearrange 4*b**4 + 0*b - 4*b**3 + 898 + 903 - 2*b + 2*b**2 - 1808 to p*b**4 + i*b + h + u*b**3 + n*b**2 and give n.
2
Rearrange -4 - 1000*w**2 + 544*w**2 + 506*w**2 to the form b*w + q*w**2 + f and give b.
0
Rearrange -13*d**2 - 4121 + 12373 + 706*d**3 - 4127 - 4125 to c*d**3 + y + u*d**2 + h*d and give u.
-13
Express -3*a**3 + 5*a + 5*a - 55*a**2 - 13*a + 60*a**2 as b*a**2 + n*a**3 + u + j*a and give b.
5
Express -29 + 104 - 73 - 131*c**2 - 60*c**2 in the form h*c + n*c**2 + b and give b.
2
Express 450785*k**4 + 2*k**3 - 1 - 2*k**2 + 139*k**2 - 450794*k**4 in the form p*k + q + m*k**4 + l*k**3 + v*k**2 and give l.
2
Express (176*v**2 + 24*v + 175*v**2 - 348*v**2)*(-2*v + 2*v - 2*v)*(-28 - 30*v + 28) in the form j + a*v**3 + k*v**2 + f*v**4 + x*v and give f.
180
Express -6*g - 134*g**2 - 16 - 126*g**2 + 273*g**2 + 3 in the form d + y*g + c*g**2 and give c.
13
Express ((0 - 2 + 1)*(-3 + 3 + 2) + 3 - 4 - 1)*(-432*s - 355*s + 94*s) in the form z + j*s and give j.
2772
Express -2*y**4 - 3 + 2*y**3 + 466*y + 5*y**3 - 3*y**3 - 464*y - 4*y**2 - 2*y**2 as g + t*y**2 + u*y + z*y**3 + h*y**4 and give t.
-6
Express -2*s + 2*s**3 + 1086 + 4034*s**2 - 2*s**4 - 8058*s**2 + 4024*s**2 as g*s**3 + y + q*s**2 + d*s**4 + i*s and give q.
0
Rearrange (207288*y**2 + 31 + 94 - 40 - 37 - 48)*(6 - 3 - 2) to n*y**2 + k + f*y and give n.
207288
Express (-9 + 2 - 8 - 2*u)*(364*u + 385*u + 449*u) as y*u**2 + w + a*u and give y.
-2396
Express -125*v**3 + 8*v**4 + 241*v**3 - 65*v**3 + (-2*v**3 - 4*v**3 + 4*v**3)*(v - 3*v + 4*v) as c*v + i*v**2 + s*v**4 + o + z*v**3 and give z.
51
Rearrange (-6 + 4 + 4)*(9*u - 9*u + 13*u + (715 + u - 715)*(-2 - 2 + 6)) to the form j*u + x and give j.
30
Express (134*v**2 - 23*v**2 + 23*v**2 - 2*v)*(9*v - 7*v + 9*v) as t*v**2 + g*v + l*v**3 + n and give t.
-22
Rearrange (-449 + 186 + 206)*(7*p - 9 + 9 + (-1 + 1 - p)*(1 - 1 - 1) - p - 3*p + p) to b*p + f and give f.
0
Express (3907*h**3 - 1136*h**3 + 1375*h**3)*(4*h + 0*h - 5*h) in the form p*h**4 + b*h**3 + d + g*h + x*h**2 and give p.
-4146
Rearrange -12031*z + 68037742 - 68037742 to w + h*z and give h.
-12031
Express 50*g**2 + 30*g**2 - 90 - 96 + 133 in the form w + s*g + z*g**2 and give w.
-53
Rearrange (280*k**2 + 25043*k - 25043*k)*(1 + 3 - 2) + 1 - 1 - 2*k**2 + 2*k**2 + k**2 + 0*k**2 to the form u + b*k**2 + m*k and give m.
0
Rearrange 130*n + 15 - 16 + 13*n**2 - 3*n**2 - 8*n**2 to k*n**2 + p*n + i and give i.
-1
Express -91*z**2 + 352*z**2 - 63*z**2 - z - 5 + 0*z + 437*z**2 as y*z**2 + v*z + a and give y.
635
Express 18*s**2 + 9079*s - 9140*s - 5 + 1 + 5 as q*s + i + m*s**2 and give q.
-61
Express -2*u + 3*u + 65*u**2 - 6175038 + 6175091 in the form r + i*u**2 + l*u and give r.
53
Rearrange (-1 + 2 + 13)*(105*f**4 - 199*f**4 - 167*f**4) to h*f + w*f**2 + o*f**4 + a + n*f**3 and give o.
-3654
Rearrange 2 + 2*l - 2 + (-9*l + 1116 - 1116 + (25*l + 20*l - 8*l)*(3 - 2 - 3))*(1 + 0 + 1) to x + d*l and give d.
-164
Rearrange 25 + 4 + 165 + 131 - 3*w to t*w + o and give t.
-3
Rearrange (7*m**2 + 3*m**2 - 14*m**2)*(-18 + 4 - 10)*(-5*m + 6*m + 7*m) to the form d*m**3 + z + s*m**2 + f*m and give d.
768
Express 3*g**2 + 42 + 41*g - 4*g**2 - 7 - 15 - 19 in the form n + a*g + z*g**2 and give n.
1
Rearrange 363538008 - 121715*i**2 - 6926*i**2 - 363538008 - i**4 + (-3*i**3 + 0*i**3 + i**3)*(4*i + 0*i - 2*i) to k*i**3 + y*i + w*i**4 + f*i**2 + d and give w.
-5
Rearrange (434 + 81 - 5*n + 98)*(-1 + 2 + 1 + 2*n) to the form f*n + h + z*n**2 and give z.
-10
Express -2552*a - 17 + 1056*a + 17 in the form g + x*a and give x.
-1496
Express 6*w + 35*w + 100*w - 2*w**2 + 52*w as z*w**2 + v + b*w and give z.
-2
Rearrange 4 - 48*q**3 + 14*q + 7 + q**2 + 12 - 17*q + 46*q**3 to f*q + y + w*q**3 + v*q**2 and give y.
23
Rearrange (-5 + 2 - 1)*(0*t**2 + 0*t**2 + 3*t**2)*(-1 + 2 + 1)*(-155 - 203 - 109) to w*t + g + y*t**2 and give y.
11208
Rearrange (j**2 - 3*j**2 - j**2)*(1 + 5 - 2)*(-7 + 10 - 8)*(-1 + 2 + 1)*(-2 + 12 - 1)*(5 + 1 - 4) to o + n*j**2 + f*j and give n.
2160
Rearrange -257146*t**3 - t**4 + 0 + 2 + 257150*t**3 + t + 2*t**4 + 4*t**2 to the form k*t**3 + f*t + z*t**2 + h + m*t**4 and give z.
4
Express 0*l + 0*l - 2*l + (-6 + 4 + 4)*(-76 + 76 - 77*l) as h + x*l and give x.
-156
Rearrange (1 + 0 + 0)*(-3456 - 2220 + 3954)*(-4 + 4 - 3*j) to the form g*j + o and give g.
5166
Express (-2*r + 0*r - 2*r)*(0 + 0 + 2) + (35 - 42 + 23)*(3*r + 2*r - r) in the form x + c*r and give x.
0
Rearrange -55*k**2 + 2*k + 6*k**3 - 723 + 53*k**2 - k - 9*k**3 to the form i + d*k + z*k**3 + s*k**2 and give z.
-3
Rearrange 28*j + j**2 + 7*j**2 - 3 + 10 - 5*j to the form u*j**2 + k*j + b and give u.
8
Rearrange -395*d**2 + 11 + 3 - 4 - 3 - 6 + 2*d**3 to the form w*d**3 + f + u*d + q*d**2 and give f.
1
Express -15216*m - 12602*m - 3664*m + 5797*m as i*m + r and give i.
-25685
Express -d + 2*d + 1224 + 0*d - 606 - 275*d**2 - 615 in the form z + r*d**2 + o*d and give o.
1
Express (-2 + 1 - 1)*(59457 - 29726 - 29734 + 153*k) as c + p*k and give c.
6
Express (7*y - 2*y - 3*y)*(-3 + 3 - 2) + 9 - 360*y + 358*y + 22 in the form l + m*y and give l.
31
Express 8*o**2 + 0*o**3 - 545*o - 2*o**2 + 1 + 560*o + o**3 as s*o**2 + t*o**3 + r*o + j and give s.
6
Express -127*y - 77 - 17 + 127*y + 2*y**2 in the form j*y + a + q*y**2 and give q.
2
Express 232*s**2 + 750 - 1508 + 2*s**3 + 754 in the form r + m*s**3 + h*s + d*s**2 and give m.
2
Express -451 + 953 - 417 + 32*r**2 as s*r + f + i*r**2 and give i.
32
Rearrange -1847*b - 1853*b + 3698*b - 4961*b**2 to z*b + y + q*b**2 and give z.
-2
Rearrange (-32*n - 15*n - 8*n)*(2 - 1 + 5) + (4 + 2 + 3)*(-1 + 3*n + 1) to the form v*n + s and give v.
-303
Express (14*j**4 + 4*j**4 - 17*j**4)*(-2784 + 54
|
{
"pile_set_name": "DM Mathematics"
}
|
115.849. Let q = i + u. What is q rounded to two decimal places?
0.1
Let g = -340 + 370. Let a = 32.444 + -0.244. Let r = g - a. Round r to zero dps.
-2
Let s = -412944813.0998338 + 412944737. Let t = s + 76.1. What is t rounded to 5 dps?
0.00017
Suppose 0 = -3*i + 204259964 - 40472207. Suppose 47404081 = 4*q - i. Suppose -4*h - 5*m - 20400000 = 0, -q = 5*h - 8*m + 4*m. Round h to the nearest 1000000.
-5000000
Let a(g) = 451*g + 7 - 305*g - 8045*g**2 + 4 + 4. Let t be a(35). Round t to the nearest 1000000.
-10000000
Let q = 1.358 + 31.992. Let m = -34 + q. Let n = 0.05 + m. What is n rounded to the nearest integer?
-1
Let t = 0.02838 + -0.0283804229. Round t to seven dps.
-0.0000004
Let r = -0.71 - -1.37. Let t = 0.064 + -1.464. Let v = t + r. Round v to one decimal place.
-0.7
Suppose -i + 5*u - 1 = 0, 0 = -13*u + 15*u - 2. Suppose 2*j = -d + 2296000, 7*j - 3444000 = i*j - 4*d. What is j rounded to the nearest one hundred thousand?
1100000
Let w(n) be the second derivative of -1292*n**3/3 - n**2/2 + 45*n. Let u be w(-1). Suppose -12*t + 495 - u = 0. Round t to the nearest 10.
-170
Let w = 145 - 82. Let q = w + -53. Let n be (-13824)/q*140625/(-6). Round n to the nearest 1000000.
32000000
Let v = -1.7712 + 1.771181151. What is v rounded to seven dps?
-0.0000188
Let r = 279182136.9999696 - 279181928. Let s = -209 + r. Round s to 5 decimal places.
-0.00003
Let x = -11127 + 11126.99992292. Round x to five decimal places.
-0.00008
Let b = 400.9734 - 401. Let t = b - -0.030114. Round t to four dps.
0.0035
Suppose 18*u = 8*u + 90. Suppose -u*c + 243030 = -1381470. What is c rounded to the nearest 10000?
180000
Let t = -4558.595 + 4553. What is t rounded to 1 decimal place?
-5.6
Let b = -7758.700062321 + 7758.7. What is b rounded to 5 dps?
-0.00006
Let h = -12946 - -13498.1. What is h rounded to the nearest one hundred?
600
Let k = 52667690.000119 + -52667730. Let s = 88 - 48. Let u = k + s. What is u rounded to 5 dps?
0.00012
Let k = -1346 + 1343.828. Let t = k + 15.702. What is t rounded to 0 dps?
14
Let i = 2436.59 + 15.41. Let x = i - 2435.19. What is x rounded to 0 dps?
17
Suppose -74199984 = -5*x + 2*s, 10*x - 14839960 = 9*x + 5*s. Round x to the nearest 100000.
14800000
Let h = -2834902565 - 418058297. Let n = 3252960901.00000162 + h. Let s = n - 39. Round s to 6 dps.
0.000002
Let o(x) = x**3 + 5*x**2 + 4*x - 9. Let z be o(4). Let y = -138 + z. Suppose y*j - 245545 = 105455. What is j rounded to the nearest 1000?
27000
Let i = -2.121 - -2.18. Let o = i - 0.0443. Round o to two dps.
0.01
Suppose 89666937 - 188694 + 3942357 = 7*l. What is l rounded to the nearest 1000000?
13000000
Let o = 8130.9973589 - 8131. Round o to four decimal places.
-0.0026
Let y = -161 - -159. Let w be (-2108700066)/(-495) + y/15. Round w to the nearest 1000000.
4000000
Let z = -3.07805 - -89.145965. Let x = z + -0.083715. Let y = -86 + x. Round y to 3 dps.
-0.016
Let b = 0.541888175 - 0.5419. Round b to 7 decimal places.
-0.0000118
Let v(f) = -f + 39. Let w be v(19). Let r be (5 - (-107105)/w) + (-3)/12. Round r to the nearest 100.
5400
Let v(i) = -11046*i**2 - 17*i - 10 + 12 + 26*i. Let h be v(-2). What is h rounded to the nearest one thousand?
-44000
Let y be 3*(13 - (-4795749)/27). What is y rounded to the nearest one hundred thousand?
500000
Let l = 20618 - 20617.99999153. What is l rounded to six dps?
0.000008
Let r = 18554.1 + -3065.1. Let t = r + -15486.8018. Let z = t - 2.2. Round z to 4 decimal places.
-0.0018
Suppose -18 = -3*a - 3*a. Suppose 4095 = 4*h - 3*x, a*h + x = 7*h - 4085. What is h rounded to the nearest one thousand?
1000
Let f = -145 - -254. Let g = 154 - f. Let k = -44.99738 + g. What is k rounded to 4 dps?
0.0026
Let p(q) = -663326*q**3 - 12*q**2 + 17*q - 12. Let w be p(4). What is w rounded to the nearest 1000000?
-42000000
Let z = -47.5 - -54. Let x = z + -9.5. Let l = x + -13.8. What is l rounded to the nearest integer?
-17
Suppose 288 = 3*t + 87. Let x = t + -64. Suppose -3*i - 5*s = -5*i + 29985, 2*i + x*s - 30009 = 0. What is i rounded to the nearest 10000?
20000
Let q = 980.26 - 990. Let p = q + 11.1. What is p rounded to 1 decimal place?
1.4
Let a = -600 + 511. Let x = -88.9083 - a. Round x to two decimal places.
0.09
Let i = 12131 - 12743.7. Round i to the nearest ten.
-610
Let q = -18.8 - -18.80567. Let m = 207.007 - 207. Let t = q - m. What is t rounded to 4 decimal places?
-0.0013
Let a = -4755.558720791 + 2129.558723442. Let v = a - -2626. What is v rounded to 7 dps?
0.0000027
Let d = 54211 - -66289. What is d rounded to the nearest 1000?
121000
Suppose -162*j = -126*j - 1234548000. Round j to the nearest one hundred thousand.
34300000
Let p = -334.4875 - -344.07086036. Let g = -5.41663809 - p. Let z = -15 - g. Round z to 7 dps.
-0.0000016
Suppose -3831703 - 2892281 = 2*j. Let x = j + -1523008. Round x to the nearest one million.
-5000000
Suppose 0 = 83*a + 26758 + 843082. What is a rounded to the nearest 1000?
-10000
Let z = -13993209 + 1511209. What is z rounded to the nearest one hundred thousand?
-12500000
Let c = -939.25400765 - -1189.2540087. Let j = -250 + c. What is j rounded to 7 dps?
0.0000011
Let m = -33 + 31.4. Let q = -127.6 - m. Let w = q + 126.00000106. What is w rounded to 7 dps?
0.0000011
Suppose 1607843619 - 7658910401 - 5390353218 = 19*t. Round t to the nearest 1000000.
-602000000
Let h = -2.31 + 151.31. Let l = h - 148.362. What is l rounded to 2 dps?
0.64
Let k = -93.79 - 0.21. Let q = k + 93.99901. What is q rounded to four decimal places?
-0.001
Let i = 283 - 283.98. Let g = 0.979999706 + i. What is g rounded to seven decimal places?
-0.0000003
Let u = -430.0921 + 0.0921. Let l = u - -100. Let q = -339.34 - l. Round q to zero dps.
-9
Let y = 0.58724 - 0.6941. Round y to three dps.
-0.107
Let x = -5080.894 + 5092. Let s = -8.3 + -2.7. Let p = s + x. Round p to 2 dps.
0.11
Let x = 51 + -100. Let n = x + 51. Suppose -6*w - n*w = 136000. What is w rounded to the nearest ten thousand?
-20000
Let l = 14667 + -14667.000109675. Round l to 6 decimal places.
-0.00011
Let t = -161.28 + 3.28. Let d = 97.5 + t. Round d to the nearest ten.
-60
Let v = 255.457 + 543.986. Let a = 0.1912 + -800.1912. Let z = v + a. Round z to 1 dp.
-0.6
Let w = -0.0239606292 - -25092.4116606292. Let b = w - 25063.1. Let a = b + -29.3. Round a to 3 dps.
-0.012
Suppose -3*i = -5*b - 32, -2*i - 2*b - 12 = -3*i. Suppose -4*h - 4*p + 1287992 = 0, -i*p + 2974 = h - 319018. Round h to the nearest 100000.
300000
Let w = 338.48 + -338.479839641. Round w to six decimal places.
0.00016
Let t(b) = -19*b**2 - 7*b + 8. Let u(j) = -1 - 4 + 7 - 6*j + 7 - 18*j**2. Let o(d) = 4*t(d) - 5*u(d). Let r be o(-5). What is r rounded to the nearest ten?
330
Let f = 11597 + -6647. Suppose 29*m + f = 30*m. What is m rounded to the nearest one thousand?
5000
Suppose 40 = 4*x + n, -4*n - 10 = 3*x - 4*x. Let l be (x/(-3))/((13/333)/13). What is l rounded to the nearest one thousand?
-1000
Let c = 29313.16 - 29384.16605. Let v = 11 + 60. Let b = v + c. What is b rounded to 3 dps?
-0.006
Let f = 2686.83 + 117.67. Round f to the nearest ten.
2800
Let z = 49908.9957678 + -49909. Round z to 5 dps.
-0.00423
Let v = 159 - 72. Let i = v - 10.1. Round i to the nearest ten.
80
Let v = -521.891 - 0.109. Let x = v + 521.9175. What is x rounded to three decimal places?
-0.083
Let x = 0.1929 - 0.135832. What is x rounded to two decimal places?
0.06
Let v = -765 - -670. Let s = -88.06 - v. What is s rounded to zero dps?
7
Let u = -3774.00006888 - -3774. What is u rounded to six decimal places?
-0.000069
Let q = -0.01 + 0.127. Let x = 62.883 + q. Let s = x - 62.99999974. What is s rounded to 7 dps?
0.0000003
Let j = 1947243693 - 3095922130. Let g = -1148678327.0000089 - j. Let z = g + -110. What is z rounded to six dps?
-0.000009
Let x = -619 - -618.206. Let p = -17.064 - -16.96. Let q = p - x. What is q rounded to 1 dp?
0.7
Let b = 0.436568 - 0.5466. Let q = 1.5 - 1.39. Let f = b + q. Round f to five decimal places.
-0.00003
Let f = -75 + 80.7. Let i = f - 10. Let d = i - -4.37. What is d rounded to 1 decimal place?
0.1
Let m(k) = 950*k**3 - 9*k**2 + 9*k - 10. Suppose -11*v = -5*v + 60. Let h be m(v). Round h to the nearest one hundred thousand.
-1000000
Let l = 0 + 1.1. Let p = -0.
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{
"pile_set_name": "DM Mathematics"
}
|
(b) 3 (c) l
a
Let u(j) = 5*j + 6. Let v be u(-1). Which is the fourth biggest value? (a) 0 (b) v (c) 3 (d) 4
a
Let l = 3 - 1. Let j = 6 - l. Let d be 0 - (-12)/(-45)*3. Which is the second smallest value? (a) d (b) j (c) -3
a
Let t = -15.7 + -3.3. Let l = t - -18. Which is the third biggest value? (a) -3/7 (b) l (c) 0
b
Let z = 8 - 8.2. What is the smallest value in z, 0, -2?
-2
Let p = -27.04 + 27. Let x = -8.64 - -9. Let c = x - p. What is the second smallest value in 4, -0.1, c?
c
Let a = -41.5 + 42. What is the second smallest value in -9, 3, a?
a
Let r = 14 - 18. Which is the third smallest value? (a) 0 (b) r (c) 1/3
c
Let u = -8/747 + 2789/330174. Let y = -2659/3094 - u. Which is the biggest value? (a) y (b) 3/7 (c) 2
c
Let j = 16 - 21. Let d = j + 11. Which is the biggest value? (a) 2 (b) d (c) -3
b
Let w = -2 + 1.8. What is the third biggest value in -0.5, -1, w?
-1
Let k = -77 - -74. Which is the fourth smallest value? (a) -1/2 (b) k (c) 2/9 (d) 0.2
c
Let u(s) = -s**3 - 4*s**2 + 6*s + 7. Let f be u(-5). Suppose 2 = f*v - 4. Let r = 17 + -13. Which is the biggest value? (a) -0.2 (b) v (c) r
c
Let a be (-1 + 4)*(6 + -4). What is the smallest value in 1, a, -4?
-4
Let r = -1.9 - -1.7. Which is the biggest value? (a) -0.06 (b) 0.3 (c) r
b
Let k(m) = -m**2 + 9*m + 17. Let h be k(11). Let y be -1*(1*-2 + 4). What is the second biggest value in y, 1/3, h?
y
Let f = -0.2 + 0.18. Let g = 13.08 + -13. Let r = g - f. Which is the third smallest value? (a) 4 (b) -1/3 (c) r
a
Let q(h) = h**2 - 9*h + 17. Let z be q(4). Which is the third biggest value? (a) z (b) -0.5 (c) 0.2
a
Let o(w) = w**3 + w**2 + w + 5. Let g be o(0). Let l = -11 - -10.65. Let x = l - -0.15. What is the second biggest value in x, 2, g?
2
Let u = 9 - 4. Suppose -3*d = 3*r, -2*r + u*d - 40 = 3*r. Which is the third smallest value? (a) r (b) 3 (c) -5
b
Let l = -20 + 13. Let m = 5 + l. What is the biggest value in m, -3/4, 0.1?
0.1
Let a be ((-5*4)/(-4))/(-1). What is the third biggest value in -2, -4, a?
a
Let y = -0.03 + 0.23. Let o = y - -3.8. Let m = 0.15 - -2.85. What is the biggest value in -3, m, o?
o
Let r = 142 - 140. What is the smallest value in 0, 3, r?
0
Let n = -2/37 + -134/259. What is the second biggest value in n, 1/2, 0?
0
Suppose -5*l = 2*r - 14 - 144, -2*l + 152 = 2*r. Let p = 589/8 - r. Which is the biggest value? (a) p (b) 5 (c) -0.5
b
Let p be (-2)/5 - 34/(-10). Suppose 5*m + p = 38. Suppose s - 13 = 3*y, 4*y + 17 = 3*s - m. Which is the second smallest value? (a) -0.1 (b) -2/3 (c) s
a
Let p be (-7 - -8)/(5/2). Which is the second smallest value? (a) p (b) 1.3 (c) -1/3
a
Let s be (-1 + 1 - -3) + 1. Suppose 5*k + 25 = j, 0*j - 4*k = 4*j - s. Let y be 22/121 + 34/(-66). What is the second smallest value in -2, j, y?
y
Let o = 0 + -1.2. Let w = o - -1.2. What is the second biggest value in 2, w, -5?
w
Suppose -2*z + 4*w + 13 = 1, -z - 4*w = 18. Suppose 0 = -s + 3*s + 4*d - 2, -s + 15 = -5*d. Which is the biggest value? (a) s (b) -2/7 (c) z
a
Suppose 16 = -2*z + 4*v, 3*z + 2*v - 17 = -1. Which is the third biggest value? (a) z (b) 0.1 (c) -0.3
c
Let p = -0.23 - -1.23. Let t = 4.03 + -0.03. Which is the biggest value? (a) t (b) 5 (c) p
b
Let t(m) = -m**3 + 6*m**2 + m - 5. Let k be t(6). Let u be -3 + k + (-27)/(-12). Let c = 1407/11 + -128. What is the biggest value in c, 0.1, u?
u
Let f = -7 - -13. Let r = f + -1. Let d = 4.8 - r. What is the third smallest value in d, -1/10, 0.5?
0.5
Let x = 4 - 4.5. Which is the third smallest value? (a) -1/5 (b) x (c) -0.1
c
Let s be 6/(-4)*10/75. What is the smallest value in -0.1, s, 1/2?
s
Let g = 6.7 - 2.2. Let f = -0.22 + 5.22. Let q = g - f. Which is the third smallest value? (a) -3 (b) 0.3 (c) q
b
Suppose 3*s + 6 = -3*a, 1 = 2*s - 3. Let k = 3 - 8. Let h = k + 5.4. What is the second biggest value in 1/2, h, a?
h
Suppose -3*l - 3 = 5*s, 2*s + 15*l - 5 = 20*l. Which is the smallest value? (a) 0.4 (b) 0.01 (c) 0.1 (d) s
d
Let j = -0.13 - 4.87. Let l = j + 2. What is the second biggest value in -4, -0.1, l?
l
Let u be 8/(-28) + 16/7. Let a be (-3 - -1)*u/(-6). Let z = -0.2 + 0.2. What is the smallest value in z, -2/9, a?
-2/9
Let z = 157/15 + -31/3. What is the third smallest value in 0.3, 0.1, z?
0.3
Let l(m) = -m - 4. Let k be l(6). Let j be 5/10*(-4)/k. Let q = 0.07 - -0.03. Which is the third smallest value? (a) -2/5 (b) j (c) q
b
Let w(k) = k + 3. Let t be w(-2). Let d = 3.5 + -3. Let v be 3/(21/4) + 0. What is the third biggest value in d, t, v?
d
Let f be 11/3 - (-1 + 3). Let l = -1 + 0.7. What is the third smallest value in 0, f, l?
f
Suppose -5*p - 2*m - 16 = 0, 2*m = 3*p - p + 12. Let k = 0.3 - 0.8. Let z = k - 0.5. Which is the second biggest value? (a) z (b) 1/4 (c) p
a
Let z be (-16)/(-30) + 1/(-3). Let x = 0.5 + 0. What is the second biggest value in -1/5, x, z?
z
Let h = 21.4 + -21. Let u = -3 + 6. Let s = u - 2.8. What is the second biggest value in 0.3, s, h?
0.3
Let j(p) = -p**3 - 10*p**2 - 6. Let g be j(-10). Let h(m) = 2*m + 7. Let x be h(g). Which is the third smallest value? (a) x (b) 2/11 (c) 5
c
Let h = 2.7 + -2.4. Let d = 32/35 + -6/5. Which is the second smallest value? (a) d (b) 2 (c) h
c
Let s = 1.17 - -11.83. Which is the second biggest value? (a) -4 (b) s (c) -5
a
Let x = -57/221 + 7/17. Let o = 0.2 - -0.8. Which is the second biggest value? (a) x (b) -0.5 (c) o
a
Let n = 661/4 - 166. Which is the third smallest value? (a) -5 (b) -0.3 (c) n
b
Let o = 6 + -11/2. Which is the third smallest value? (a) 3 (b) o (c) -0.22
a
Let m(w) = w**3 - 8*w**2 - 4. Let a be m(8). Let p = -6.4 - -6. Let q = 4.92 + 0.08. What is the second smallest value in a, q, p?
p
Let g = 88.6 + -89. Which is the fourth biggest value? (a) -2/15 (b) -16 (c) g (d) -2/7
b
Let f = -5.18 + 0.18. What is the second smallest value in -4, f, -0.1?
-4
Let b = -57 + 54. What is the biggest value in 2, -6, b?
2
Let l = -0.39 + 0.03. Let q = 0.04 - l. What is the second smallest value in -0.2, q, 1?
q
Let n = -4.062 + 0.062. Which is the third biggest value? (a) 1/6 (b) -0.1 (c) n
c
Let k(q) = q**3 - 4*q**2 - 5*q - 1. Let z be k(5). Let t(f) = f**2 - 3*f + 2. Let b be t(3). What is the biggest value in 8, b, z?
8
Let w = -3 - -2.7. Let l be (-4)/12 - (-898)/1950. Let q = -2/75 - l. What is the smallest value in w, -2, q?
-2
Let p = 0.22 + -3.22. What is the third biggest value in p, -5, -0.06?
-5
Let k = 12 - 25/2. What is the second biggest value in k, 1/4, 1?
1/4
Let v = -1.22 + 0.7. Let m = -25.98 + 26. Let t = v + m. What is the third biggest value in -1/5, 2/3, t?
t
Let q = 117 - 128. What is the second biggest value in 1, q, -2/5?
-2/5
Let v = 197/6 - 33. Let j = -299 + 296. Let o(u) = -2*u**2 + 2*u - 1. Let k be o(1). Which is the third smallest value? (a) v (b) k (c) j
a
Let x = 49 + -54. Which is the second smallest value? (a) 2/7 (b) -0.6 (c) x
b
Let c = 0.08 + -0.08. Let n = c + -0.4. Let i = 1.1 + 2.9. What is the smallest value in i, 3, n?
n
Let s(o) = 0 - 3*o**2 - 6*o + 4*o**2 + 6. Let q be s(5). Let k be 10/12*q/5. Which is the second smallest value? (a) 3 (b) k (c) -2/13
b
Let y = 0.1 + -0.4. What is the third smallest value in -3, y, 6?
6
Let j = -19 - -19. Which is the third biggest value? (a) -3 (b) 0.5 (c) j
a
Let k be (1/(-10))/((-12)/(-15)). Let d = 5 - 4.7. Let p = 85 + -253/3. Which is the smallest value? (a) d (b) k (c) p
b
Let g = 8.1993 + -0.1893. Let i = 8 - g. Let s = i - 0.09. What is the second biggest value in 3, -2/9, s?
s
Let v be 5/(-7) + (-24)/(-56). What is the second biggest value in 9, -2, v?
v
Let s = 0 + 4. Let i be (-10)/(-60) + -1 + 1. Which is the third smallest value? (a) -4 (b) i (c) s
c
Let h = -433/3 - -148. Let u = h - 10/3. Which is the smallest value? (a) u (b) -1/4 (c) 0.5
b
Let p = -248 + 248.5. Suppose 0 = -7*x + 4*x - 9. Let g be x*(0/2 + -1). Which is the smallest value? (a) p (b) g (c) -4/5
c
Let x = -30 + 29.9. What is the biggest value in -0.3, -0.06, x?
-0.06
Let s = -30 - -34. What is the second biggest value in 0.1, 0.08, s, 0.3?
0.3
Let l = 20 + -19. What is the smallest value in 5, l, -1/6?
-1/6
Let z = -1.3 + 6.3. Let o = -5 + 6. What is the thir
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{
"pile_set_name": "DM Mathematics"
}
|
b
Let z = -12.7 - -13. Which is the closest to -1/3? (a) -1 (b) z (c) 4
b
Let x be (16/(-20))/(28/(-10)). Which is the closest to x? (a) -2/11 (b) 0.03 (c) -2/3
b
Let i = -25 + 20. What is the closest to 0 in 0.4, i, -3?
0.4
Suppose q + 3*z - 1 = -0*q, 9 = -5*q - z. Let p(f) = -f**2 - 5*f. Let i be p(-4). Which is the closest to 0? (a) q (b) -0.1 (c) i
b
Let v = -6.2 + 9.3. Let z = 3 - v. What is the nearest to z in -1/3, -3, -5?
-1/3
Let f = 4 + -11. Let l = -0.08 + -9.92. Let v = f - l. What is the nearest to 0 in 0.3, 1/8, v?
1/8
Let q be 2/4 + 49/(-42). Which is the closest to -0.1? (a) q (b) 0 (c) 4/5
b
Let x = 37 + -36. Which is the closest to 2/3? (a) 3/4 (b) x (c) -1.1
a
Let r = -239/28 + 58/7. Which is the nearest to -1? (a) 0 (b) -2/3 (c) r
b
Suppose -3*j = -4*j. Let t = -0.4815 + -0.0185. Which is the nearest to j? (a) -0.2 (b) t (c) 3
a
Suppose 7*a = 2*h + 4*a + 8, 16 = 2*h + 3*a. Let r be (1 - -2) + (0 - 2 - 2). What is the nearest to h in -0.5, r, 2?
2
Let d = -0.13 + -0.03. Let l = 2.16 + d. Let u = -6 + 10. Which is the closest to l? (a) u (b) 3 (c) -1/6
b
Let n = -18 + 13. Let i = 0.3 + 0.1. Suppose -4*s - 13 = 4*m + 19, -5*m - 24 = s. What is the nearest to 1 in n, i, s?
i
Let f = 81/259 + -1/37. Let q = -4.1 + 0.1. Let n = -251/170 + -2/85. Which is the nearest to 1? (a) n (b) q (c) f
c
Let u = -16.4 - -16. Which is the closest to 1? (a) 3/8 (b) 2/11 (c) u
a
Let q = 0.03 - 0.33. What is the closest to q in -0.5, -3/4, -2/5?
-2/5
Let f = 2.7 + 0.3. Let z = -14 - -17. Let w = z - f. Which is the closest to 1/4? (a) w (b) -4 (c) 1
a
Let l = -21 + 21. What is the closest to 1 in l, -3/4, -1?
l
Let f = -0.9 - -1. Let o = 119 - 119.1. Let n = -0.9 - 0.1. Which is the closest to n? (a) f (b) o (c) 0
b
Let q be (-10)/28*-2 + (0 - 1). Which is the closest to 1? (a) -1 (b) q (c) -3
b
Let j(o) = -o**2 + 21*o. Let q be j(21). Which is the closest to q? (a) 0.1 (b) -1 (c) -3
a
Let f = 3.111 - 0.201. Let n = f - -0.09. Which is the closest to -1? (a) -0.3 (b) 0.4 (c) n
a
Let i = 0.3 - 0. What is the nearest to 0 in i, 0, 2/3?
0
Let j(f) = f**3 - 10*f**2 - f + 7. Let q be j(10). Let m be 3*-2*6/(-9). Suppose -t + v = 3*t - 15, 0 = 4*v - m. What is the nearest to 2/7 in t, 2, q?
2
Suppose 4*c + x - 2714 + 12728 = 0, -2507 = c + 2*x. Let l = c + 7423/3. Let m = -28 - l. What is the closest to 0 in -5, 0.4, m?
0.4
Let d be 189/(-39) + 2 + 3. Let l = -7.5 - -7. Let i = 0 + -1. Which is the closest to i? (a) -0.4 (b) l (c) d
b
Let d = 0.009 + -0.209. Which is the closest to 1? (a) d (b) 2 (c) -0.4
b
Let m = -9.1 - -9. Let o = -2 + 3. Which is the nearest to m? (a) 0.5 (b) -1 (c) o
a
Let z = 247 - 247.5. Let h = -139 + 1667/12. What is the closest to -1/2 in z, 2/7, h?
z
Let n = 19 + -20. Let r = -1.95 - -2. Let m = 0.25 + r. Which is the closest to n? (a) -0.4 (b) m (c) -0.3
a
Let j(p) = p**2 - 6*p + 1. Let v be j(6). Suppose v = -5*k - 14. Which is the nearest to -0.1? (a) -0.1 (b) 3/5 (c) k
a
Let i = -2.7 + 1.67. Let t = i - -0.03. Let b = 5 + -3. What is the nearest to t in -2/9, -0.1, b?
-2/9
Let r be 0 + 2/(-1) + -1. Let z be (r/6)/(1/24). Let h be 2/8 - (-3)/z. Which is the nearest to -1/2? (a) -1/3 (b) 1/4 (c) h
a
Let q = 8.93 + -9. Let m = -0.43 + q. Which is the nearest to 0? (a) m (b) -5 (c) 1
a
Let x = -0.5 + 0.1. Let k be (3 + 18/(-6))/(1 + -3). Which is the closest to k? (a) 3 (b) -4/3 (c) x
c
Let h be -2 + (2 - 0) + (-5 - -2). Let r = 0.3 - 0.2. What is the nearest to h in -0.3, r, -0.5?
-0.5
Let p be (-5)/((-20)/(-16)) - (-25)/7. Let w be 1 + 2/(-6)*1. Which is the closest to p? (a) 0.4 (b) w (c) -0.1
c
Let u = 2 + -1. Suppose 5*i + 0*o = -o + 17, 15 = 3*i - o. Which is the nearest to u? (a) i (b) 0.3 (c) 2
b
Let y = -114.9 + 115. Suppose -3 = -w - 1. What is the closest to -0.2 in y, -5, w?
y
Let q = -2548/57 - 347/38. Let v = q + 54. Which is the closest to 0? (a) v (b) 5 (c) 4
a
Let t = -41 - -25. Let x = t - -20. Let v = 1 - 1. Which is the nearest to -2? (a) v (b) 2/5 (c) x
a
Let z = -1 - -1. What is the nearest to z in -5/4, 0.2, 0?
0
Let o = 21 + -20.84. Let m = o + -0.16. Suppose t - 5*x + 2*x = 6, -4 = 4*t + 2*x. Which is the nearest to m? (a) -3 (b) t (c) 5
b
Let j = 17 - 18.2. Which is the nearest to j? (a) -4 (b) 1/3 (c) 1/8
c
Let f be (-6)/21 + (-23)/(-7). Let v be f/(-9) + 30/9. Suppose 2*d = 2*u - v - 3, 0 = -d - 5*u + 15. What is the closest to d in -1/7, -2, 1?
-1/7
Let u = 137.2 + -137. Let a = -5 + 4.6. What is the nearest to u in 1/5, a, -0.5?
1/5
Let k = -0.08 - 0.02. What is the nearest to -0.07 in -0.5, k, 0.2?
k
Let x = 3.2 + -3. Let p = -215/308 - 4/77. What is the closest to x in 2, p, 2/11?
2/11
Let o be ((-3)/105*2)/((-21)/(-49)). What is the closest to 0.1 in o, -4, -2/3?
o
Let k = 0.05 - 1.25. Let l = -1.4 - k. Let u be 4/6 - (-1)/3. Which is the closest to l? (a) 0.1 (b) 2 (c) u
a
Let n = -7 + 6.7. Let v = -0.1 - n. Let u = -1 - -0.9. What is the nearest to v in 1/3, u, 1?
1/3
Let k = 0.1 + 0. Suppose 4*l - 3*y = -11, 6*l + y = 3*l - 5. Which is the nearest to k? (a) 2 (b) l (c) 1/4
c
Let x = 1 - 0. Let q(v) be the second derivative of -v**4/12 - v**3 + 2*v. Let k be q(-5). Which is the closest to x? (a) k (b) 3 (c) 1
c
Let n = 5.96 - -0.04. Let d = n + -5.7. Let y = -8 - -8. What is the nearest to y in d, -0.4, -1/4?
-1/4
Suppose -22*h = -25*h - 3. Suppose 2*l - 8 + 0 = 0. Which is the nearest to 0? (a) h (b) l (c) 2/9
c
Let r = 0.8 - -2.2. Let y = 51.4 - 51.5. Let w = -1.8 + -0.2. Which is the nearest to y? (a) w (b) -3 (c) r
a
Let c be ((-12)/16)/(-1 + -2). Let m = -0.9 + -1.1. What is the closest to 1 in m, 5, c?
c
Let h = -0.3 + -0.7. Let x = h + 1.1. Let p = 0.2 - x. Which is the nearest to p? (a) 4 (b) -3 (c) -1/8
c
Let l be -1 + -15 - 4/(-2). Let t be 0/(-3) + (-4)/l. Let q be 4/(-2) - (-21)/6. What is the nearest to -1 in q, -1, t?
-1
Let p = 103 - 70. Suppose 4*o + 3*m + p = -2*m, o + 2*m + 12 = 0. Let z be (3 + -5 - -2)/(-2). Which is the nearest to z? (a) 5 (b) o (c) -2/11
c
Let r be 70/(-22) - 4/(-22). Let k be 2/(-6) - 217/r. Let s be k/(-154) + (-2)/(-11). Which is the closest to -2? (a) s (b) -0.1 (c) -5
a
Let v = -7 - -5. Let k be (-2)/(-10) - (-22)/(-10). Let h be -1 - (3 - (-5)/k). What is the closest to -2 in v, -0.2, h?
v
Let s = 51/115 - 24/23. Which is the nearest to 0.2? (a) 0 (b) -2 (c) s
a
Let t = 0.34 + -0.44. What is the nearest to t in -5, -3, 2?
2
Let f = -0.1 + 0. Let h = 6 + -4. Suppose 2*p - 3*t = 2*t - 5, 4*p - 5*t = 5. Which is the nearest to f? (a) p (b) -3 (c) h
c
Let d = 0.7 + -0.9. Let x = 0.5 + d. Let b = -0.2 - -0.7. What is the closest to 2/11 in b, x, -0.3?
x
Let l = 23 + -21. Which is the nearest to -2/5? (a) 5 (b) l (c) -1/2
c
Let j be (0 + -2)*5/(-10). Let o = 1538/45 + -172/5. What is the nearest to -5 in o, 5, j?
o
Let v = 29 - 53/2. Which is the nearest to 1? (a) -5 (b) v (c) -1
b
Let q = -0.23 - 3.77. Which is the closest to 0? (a) -3 (b) q (c) 0.2
c
Let p be 11/2 + 4/(-8). Suppose p*o = -10 - 0. Let s(i) = i**3 + i**2 + 4. Let z be s(0). Which is the closest to -0.1? (a) o (b) -5 (c) z
a
Suppose 3*r = -2 - 4. Let v be r*(3/3)/(-2). Which is the nearest to 1? (a) 0.3 (b) -0.2 (c) v
c
Suppose -w = -4*s - 3, 5*w - s + 0 = 15. Let d be (0 + -3)*4*w. Let o = d + 109/3. Which is the closest to 1? (a) -0.4 (b) o (c) 3/7
c
Let q be (-10 - -15)*8/70. Which is the closest to -2? (a) -5 (b) q (c) -0.1
c
Suppose 0 = 5*s + 4*q - 10, 2*s - 3*q = s - 17. Let y = 8 - 5. Let r = 5.04 + -0.04. Which is the closest to y? (a) r (b) s (c) -1
a
Let z = -0.2 + -0.6. Let o = 1 + z. Let x be (3 + -2)*1/2. Which is the closest to x? (a) o (b) 0.1 (c) -0.1
a
Let r = 20 + -18. Let s be r*(12/8)/(-1). Which is the closest to 0.1? (a) 0 (b) s (c) -0.1
a
Let l(r) = -r + 9. Let m be l(7). Which is the nearest to -1? (a) -3 (b) 0 (c) m
b
Suppose 5*m - 4*u - 20 = -u, m - 4 = 3*u. Let x be 1/4 - 10/8. What is the closest to x in -4, -2/7, m?
-2/7
Let x = -0.38 + -0.12. What is the nearest to -2/3 in 2, x, -0.2?
x
Let o = -2.1 - -2.1. Which is the nearest to o? (a) -0.2 (b) 6 (c) -1/3
a
Let k = -114 + 114.1. What is the nearest t
|
{
"pile_set_name": "DM Mathematics"
}
|
ase 16, what is -1 - -1ac6a7?
1ac6a6
In base 6, what is 204535523 + -30?
204535453
In base 4, what is 20 + -303322210?
-303322130
In base 11, what is -523a781 - -9?
-523a773
In base 3, what is 2012 + 1102022001012?
1102022010101
In base 9, what is 145 + -525558?
-525413
In base 7, what is -2 - 1234650651?
-1234650653
In base 11, what is 4 + -709450?
-709447
In base 14, what is -b8b19 - 993?
-b96ac
In base 16, what is 5560155 - 5?
5560150
In base 8, what is -3 + -135220?
-135223
In base 12, what is 17842 - -bb?
17941
In base 3, what is -22122121 - -21010212?
-1111202
In base 4, what is -3300103120 + -2?
-3300103122
In base 8, what is 7314 - -304133?
313447
In base 11, what is 4436046 + 13?
4436059
In base 11, what is 761 - 315265?
-314604
In base 11, what is 3 + -237882a6?
-237882a3
In base 8, what is 5673726670 - -4?
5673726674
In base 12, what is 1 - 324554?
-324553
In base 6, what is 3313 - -21350?
25103
In base 15, what is 10 + -185188?
-185178
In base 2, what is -100011011011001000011101111 - 11?
-100011011011001000011110010
In base 9, what is -18257338 + -4?
-18257343
In base 5, what is 1123 + -204343302?
-204342124
In base 8, what is -360 + -14037?
-14417
In base 9, what is -18070 - -40341?
21261
In base 12, what is -12 + -a48696?
-a486a8
In base 15, what is -17 - -35c5?
35ad
In base 4, what is -2202213230232110 + 0?
-2202213230232110
In base 3, what is -21121102 - -201001011?
102102202
In base 14, what is 1b + ac099?
ac0b6
In base 8, what is -11023 - -2404?
-6417
In base 9, what is -211 + -17638?
-17850
In base 3, what is 222012110102 + 22020?
222012202122
In base 12, what is -1b - 25a86?
-25aa5
In base 5, what is 220 + 10131111?
10131331
In base 3, what is -101102000001220 + 1?
-101102000001212
In base 12, what is -17b482816 + -1?
-17b482817
In base 6, what is -152450134 - 1234?
-152451412
In base 2, what is 1010111101001011110100111 + 10?
1010111101001011110101001
In base 12, what is -7 - -266451?
266446
In base 16, what is -5 + 12e8de?
12e8d9
In base 2, what is 11101110 - 10001110100001010011?
-10001110011101100101
In base 7, what is 1024063 + -311?
1023452
In base 7, what is 3 - -320261115?
320261121
In base 16, what is 79 + -89e39?
-89dc0
In base 15, what is 1958 - 2d35?
-13cc
In base 8, what is -1475200 + 17?
-1475161
In base 6, what is 4230 + -133?
4053
In base 10, what is -42790528 + -2?
-42790530
In base 13, what is -389 - -13b9c?
13813
In base 6, what is -145235110 + 5?
-145235101
In base 3, what is 22210112020 + -21022?
22210020221
In base 3, what is 1020001200122102201 + 12?
1020001200122102220
In base 9, what is 146084 - -676?
146771
In base 8, what is 67 + 523232?
523321
In base 10, what is 1 + 3212510?
3212511
In base 3, what is 1022021222001 - -110211?
1022022102212
In base 16, what is -12 - 8612?
-8624
In base 7, what is -154436 - 10211?
-164650
In base 4, what is 1332110032033 + 0?
1332110032033
In base 14, what is 27bd413 + 4?
27bd417
In base 12, what is 157 + -239b?
-2244
In base 3, what is 10100112 + 100022012101?
100102112220
In base 4, what is 311211110030 - 0?
311211110030
In base 13, what is -333c5c4 + -1?
-333c5c5
In base 10, what is 7051 + -44211?
-37160
In base 4, what is -22101 + 131331131?
131303030
In base 14, what is -17c5 - 7544?
-8d29
In base 6, what is 0 - 42104112?
-42104112
In base 13, what is 1c4a5 + 105?
1c5aa
In base 8, what is 51754 + 4002?
55756
In base 16, what is -1c - -16c2?
16a6
In base 7, what is -24 + 510561?
510534
In base 13, what is -7 + 628a84?
628a7a
In base 14, what is -d11387 - 2?
-d11389
In base 5, what is 13002014144 + 1?
13002014200
In base 8, what is 20254533 - -27?
20254562
In base 11, what is 3 - -8a05713?
8a05716
In base 6, what is 5 - 10534050513?
-10534050504
In base 16, what is -e28 + e64?
3c
In base 10, what is -611871 - -55?
-611816
In base 5, what is -4003 + 1234121?
1230113
In base 14, what is 2 + 264d38?
264d3a
In base 14, what is -2 - -18bb09?
18bb07
In base 16, what is 6ee38b60 - 4?
6ee38b5c
In base 3, what is 21021212121201 - 12?
21021212121112
In base 4, what is -100100201213 - -120?
-100100201033
In base 4, what is 103111302023 - -2?
103111302031
In base 4, what is -10 + -121100313230?
-121100313300
In base 15, what is 220 + 332d8?
33508
In base 13, what is -c1626a + 3?
-c16267
In base 8, what is -25075 + 12345?
-12530
In base 9, what is 134024 + 388?
134423
In base 16, what is 1eeeca90 + 3?
1eeeca93
In base 8, what is 5 + 407476760?
407476765
In base 15, what is -35 - -2b31e9e?
2b31e69
In base 10, what is -518 - 463205?
-463723
In base 12, what is 400a - -38b?
4399
In base 9, what is 11281 + 13741?
25132
In base 10, what is -85906 + 99?
-85807
In base 8, what is 110640571 - 3?
110640566
In base 2, what is -1110000000111100001 + -10101101?
-1110000001010001110
In base 11, what is -7195 + -125a?
-8444
In base 16, what is ad4ff6 - -40?
ad5036
In base 4, what is -310323 + -22130?
-333113
In base 6, what is 121553203021 - -1?
121553203022
In base 14, what is -42cb2c7 + 0?
-42cb2c7
In base 14, what is 4d35 - 3683?
1692
In base 15, what is dcbc - 7e8?
d4c4
In base 10, what is -1559 - 16396?
-17955
In base 13, what is 3cac5 + -4a?
3ca78
In base 9, what is -108873558 + 3?
-108873555
In base 16, what is -19 - 9897?
-98b0
In base 16, what is -3 - 37c969f?
-37c96a2
In base 11, what is -920 + 58183?
57363
In base 3, what is -2111101 + -1010021201?
-1012210002
In base 10, what is 21790 + -838?
20952
In base 14, what is -34ac + -29?
-34d7
In base 14, what is -4a1c0 - -7?
-4a1b7
In base 4, what is -303 - -210230313?
210230010
In base 12, what is 5 - 224804?
-2247bb
In base 4, what is 1131 - -2322000?
2323131
In base 13, what is 1785 + 243?
19c8
In base 6, what is 5533014 + 343?
5533401
In base 4, what is 23322023 - -1001?
23323030
In base 12, what is -5 - -363a54?
363a4b
In base 13, what is 2c6c27 + -2?
2c6c25
In base 14, what is 5 + 95bbab?
95bbb2
In base 12, what is 868a4 + -12?
86892
In base 2, what is 101100101001 - 1111101000000101111?
-1111100010100000110
In base 3, what is -1011101111002 - 1000?
-1011101112002
In base 7, what is 4132150 + -11?
4132136
In base 5, what is 331303001 + 42?
331303043
In base 2, what is 101 + -10001100000010000110111?
-10001100000010000110010
In base 16, what is 609d4 + a?
609de
In base 12, what is -8951854 - 5?
-8951859
In base 16, what is 2 + -4629f28?
-4629f26
In base 8, what is 7242 - -253544?
263006
In base 6, what is 2 + 4005532430?
4005532432
In base 6, what is -354 - -5514351?
5513553
In base 4, what is -3001031 - -2120330?
-220101
In base 4, what is 1211331203322 + 10?
1211331203332
In base 3, what is 2222210012 + 11020?
2222221102
In base 3, what is -112 - -111200102021?
111200101202
In base 5, what is 100 - 201034002?
-201033402
In base 2, what is 0 - 101010011011110110010101?
-101010011011110110010101
In base 15, what is e7 + 4d08?
4e00
In base 16, what is -248e + -e05?
-3293
In base 10, what is -28568 + -1760?
-30328
In base 8, what is 23716566 - -1?
23716567
In base 3, what is 1010111100000222 + 1?
1010111100001000
In base 2, what is 101001111010001100010111011 + -11?
101001111010001100010111000
In base 13, what is -a82bbc - -6?
-a82bb6
In base 15, what is 290d1561 + 3?
290d1564
In base 14, what is 6b1932 - -3?
6b1935
In base 7, what is -16 + 33302?
33253
In base 11, what is 327108aa + 0?
327108aa
In base 14, what is 17 - 2d54494?
-2d5447b
In base 13, what is 18a137 - -c?
18a146
In base 16, what is 891b5 - -6?
891bb
In base 16, what is -3c8f3 + -120?
-3ca13
In base 14, what is 3 - 14ba9c?
-14ba99
In base 15, what is 2b259 + -209?
2b050
In base 15, what is 33 - 1ead5?
-1eaa2
In base 11, what is -679 + 16870?
161a2
In base 16, what is 5f1a + 3a?
5f54
In base 4, what is 1113033 - -3133103?
10312202
In base 11, what is -33 + -629212?
-629245
In base 11, what is 308 + 1782?
1a8a
In base 7, what is 5 - -13353425?
13353433
In base 5, what is 4 - 124130241202?
-124130241143
In base 12, what is -138510b + -74?
-1385183
In base 8, what is 5 - -42535714?
42535721
In base 8, what is 2054265 + -10?
2054255
In base 11, what is -19 + -10976?
-10994
In base 6, what is -152355 + 4433?
-143522
In base 7, what is -521313531 - -3?
-521313525
In base 10, what is -116191179 - 1?
-116191180
In base 4, what is 20 + 13122010002?
13122010022
In base
|
{
"pile_set_name": "DM Mathematics"
}
|
y**4
Let w(f) = 146*f**2 - 5*f. Let i(t) = -145*t**2 + 4*t. Let d(z) = -5*i(z) - 4*w(z). Let n(a) = -6*a**2. Calculate d(n(l)).
5076*l**4
Let c(b) = -71*b. Let m(h) = -7*h**2 + 9*h. Let d(o) = -2*o**2 + 2*o. Let n(q) = -9*d(q) + 2*m(q). Determine n(c(w)).
20164*w**2
Let a(q) = 328*q**2 + 17*q - 4*q - 13*q. Let p(h) = -h**2. Give a(p(r)).
328*r**4
Let b(i) = -i. Let c(o) be the first derivative of -o**6/90 + 11*o**3/3 + 14. Let f(p) be the third derivative of c(p). Give b(f(w)).
4*w**2
Let c(l) = -l. Let w(u) = -3*u**2 - 2392. Calculate w(c(t)).
-3*t**2 - 2392
Let t(q) = -15*q**2. Suppose 0 = 3*d - z - 24, 5*d + 3*z - 26 = -0*d. Let m(c) = 2*c - 4. Let j(x) = 3*x - 7. Let b(n) = d*m(n) - 4*j(n). What is b(t(i))?
-30*i**2
Let b(y) = y**2. Let l(g) be the third derivative of -44*g**5/15 + 8*g**2 + 3. Give l(b(c)).
-176*c**4
Let d(n) = -5*n. Suppose -3*t = -0*t - 17463. Let f(y) = -3*y + y + t - 5821. Calculate f(d(x)).
10*x
Let a(j) be the first derivative of -3*j**4/4 + 4*j - 9. Let k(o) be the first derivative of a(o). Let r(z) = -2*z**2. Give k(r(n)).
-36*n**4
Let g(b) = 34*b**2 + 32*b. Let r(j) = -12*j. Determine r(g(f)).
-408*f**2 - 384*f
Let f(s) = 5*s. Let g(j) = j. Let c(y) = -f(y) + 3*g(y). Let m(a) be the third derivative of -a**5/20 - 7*a**4/24 - 2857*a**2. Give m(c(o)).
-12*o**2 + 14*o
Let y(z) = z + 2*z - 6*z + 2*z. Let n(f) be the third derivative of -5*f**4/24 + f**2. Calculate n(y(j)).
5*j
Let j(q) = q. Let c(k) be the third derivative of -631*k**5/60 + k**2 + 196*k. Calculate j(c(f)).
-631*f**2
Let w = -44 + 55. Let t(o) = o**2 - 9*o**2 + w*o**2. Let s(f) = 17*f**2. Determine t(s(u)).
867*u**4
Let u(g) = -36*g + 5. Let p(o) = -19*o + 4. Calculate p(u(v)).
684*v - 91
Let h(r) = 3*r. Let k(x) = 1. Let t(a) = -8*a**2 - 6. Let g(b) = k(b) - t(b). Determine h(g(m)).
24*m**2 + 21
Let p(x) be the third derivative of -x**5/30 - 68*x**2. Let m(y) = -22*y - 1. Give p(m(k)).
-968*k**2 - 88*k - 2
Let w(v) = -3*v + v + 4*v + 3*v - v. Let f(s) = -32*s. Give w(f(j)).
-128*j
Let m(h) = -26*h. Let z(b) be the first derivative of 23 + 0*b + 1/2*b**2. What is m(z(l))?
-26*l
Let l(q) = q**3 - 2*q**2 + 2. Let t be l(2). Suppose 3*y - 10 = y. Let b(f) = -2*f**2 - y*f + 0*f**t + 5*f. Let x(s) = -2*s. Calculate b(x(a)).
-8*a**2
Let f(s) = -5*s**2 - 2*s. Let z(r) be the first derivative of 0*r - 6 + 9/2*r**2 + 7*r**3. Let m(g) = -9*f(g) - 2*z(g). Let j(l) = -3*l. Determine m(j(i)).
27*i**2
Let q(d) = -280*d + 1. Let s(p) be the first derivative of p**2 + 243. Determine s(q(k)).
-560*k + 2
Let u(d) = -6*d**2. Let z(n) be the second derivative of n**3/6 - 23*n**2/2 - 27*n. What is z(u(g))?
-6*g**2 - 23
Let w(i) be the second derivative of 7*i**3/6 + 79*i. Let o(c) be the second derivative of -c**3/2 + 5*c. Give o(w(b)).
-21*b
Let d(o) = 3830*o**2. Let i(u) = -28*u**2 - 5*u. What is i(d(x))?
-410729200*x**4 - 19150*x**2
Let n(d) = -1. Let q(k) = -k + 6. Let j(x) = 6*n(x) + q(x). Let y(a) = 3242 - 12*a - 3242. What is j(y(p))?
12*p
Let u(f) = 2740*f - 5478*f + 2740*f + 21. Let w(q) = 2*q**2. Calculate u(w(z)).
4*z**2 + 21
Let k(q) = -3*q. Let o(b) = b**3 + 3*b**2 - 5*b - 2. Let d be o(-4). Suppose -5*a - 2*s = -1, 5*a + 5*s + 3 = -2. Let w(f) = a + 2 - 3 + d*f**2. Give w(k(c)).
18*c**2
Let v(j) = -254*j**2. Let z(s) = -9199*s. Determine z(v(y)).
2336546*y**2
Let j(p) = -7*p**2. Let v(l) = -64825*l**2. Calculate j(v(k)).
-29415964375*k**4
Let p(f) = -1906*f. Let o(b) = 5*b**2. Determine p(o(j)).
-9530*j**2
Let v(r) = 4*r**2. Let c(y) = 1968*y**2 + 33*y. What is c(v(a))?
31488*a**4 + 132*a**2
Let r(w) = -9*w + w - w + 6*w. Let h(p) = 13*p**2. Give r(h(j)).
-39*j**2
Let u(g) = -7*g. Let q(h) = -3*h. Let s(t) = -7*q(t) + 4*u(t). Let a(x) be the second derivative of 3*x + 0*x**2 + 0 - 1/3*x**3. Determine a(s(j)).
14*j
Let q(n) = -2177780*n**2. Let v(b) = -3*b**2. What is q(v(d))?
-19600020*d**4
Let g(a) be the first derivative of a**3/3 + 1. Suppose f - 3*b = 15, 0 = 3*f - 4*f + 4*b + 15. Let c(u) = -37*u + 22*u + 6*u**2 + f*u. Calculate c(g(k)).
6*k**4
Let j(o) = 114*o**2. Let c(t) = -31*t. What is j(c(v))?
109554*v**2
Let h(c) = 4*c**2. Let y(m) = 34*m**2 - 43. Give y(h(q)).
544*q**4 - 43
Let g(w) be the second derivative of -w**4/2 - 58*w. Let l(k) = -4*k**2. What is g(l(x))?
-96*x**4
Let m(a) = a**2. Let g(f) be the second derivative of 31*f**4/24 - 23*f**2/2 - 4*f. Let r(k) be the first derivative of g(k). Determine r(m(w)).
31*w**2
Let y(d) = 14 + 8 - 10*d - 22. Let s(a) = 11*a. Let n(g) = 5*s(g) + 6*y(g). Let b(i) be the first derivative of 2*i**3/3 + 2. Give b(n(w)).
50*w**2
Let o(k) = k + 4*k + 7*k. Let m(s) = -s. Let a(r) = -12*r. Let w(i) = a(i) - 10*m(i). Calculate o(w(d)).
-24*d
Let r be ((-105)/84)/(2/(-16)). Let h(p) = -r*p + 21*p - 8*p. Let a(v) = 7*v. Determine a(h(i)).
21*i
Let c(h) = 3*h**2. Let w = -426 - -430. Let g(u) be the third derivative of 0 + 6*u**2 + 0*u + 0*u**3 - 1/12*u**w. Give g(c(z)).
-6*z**2
Let k(i) = 606*i**2. Let j(a) = 7*a**2. Determine k(j(o)).
29694*o**4
Let h(q) = -9*q. Let b be (-26)/6 + (-14)/21. Let k(d) = -3*d**2 - 5. Let w(z) = 5*z**2 + 8. Let o(x) = b*w(x) - 8*k(x). What is h(o(l))?
9*l**2
Let a(p) = -2*p**2 - 22*p + 73. Let h(g) = 31*g**2. Give a(h(u)).
-1922*u**4 - 682*u**2 + 73
Let k(p) = -2*p - 3. Let l(s) = -19*s**2 + 30*s**2 - 13*s**2. Determine k(l(z)).
4*z**2 - 3
Let f(j) = 2*j. Let u(r) = -r. Let d(m) = -6*f(m) - 11*u(m). Let i(p) = 7*p + 155. Let w(z) = -9*z - 186. Let y(a) = 6*i(a) + 5*w(a). Give d(y(v)).
3*v
Let s(r) = 1. Let u(m) = -2*m**2 - 2. Let y(a) = 2*s(a) + u(a). Let i(h) = -703*h. What is y(i(z))?
-988418*z**2
Let l(n) be the second derivative of n**4/6 + n + 31. Let w(j) = -13*j. Let y(r) = 14*r. Let i(t) = -3*w(t) - 4*y(t). What is l(i(k))?
578*k**2
Let r(s) = 60*s**2. Let i(z) = 753*z**2. Give i(r(j)).
2710800*j**4
Let u(a) = -206647*a**2. Let i(y) = 6*y**2. Determine u(i(p)).
-7439292*p**4
Let t(z) = -z + 17. Let p(r) = -6*r**2 - 10. What is t(p(d))?
6*d**2 + 27
Let v(s) = -165 + 165 + 9*s. Let z(f) be the second derivative of -2*f**3/3 + 52*f. Calculate v(z(y)).
-36*y
Let a(i) be the first derivative of -i**6/60 - 3*i**3 - 5. Let s(v) be the third derivative of a(v). Let k(h) = -2*h**2. Determine s(k(m)).
-24*m**4
Let a(v) = -15*v**2. Let n(c) = -24943*c. Calculate n(a(q)).
374145*q**2
Let u(t) = 4140*t**2 - 7*t. Let p(v) = -2*v**2. Determine u(p(x)).
16560*x**4 + 14*x**2
Let c(h) be the first derivative of 13*h**2/2 - 113. Let q(s) = 5*s + 2*s**2 - 4*s - s. Determine c(q(w)).
26*w**2
Let j(r) = -11*r. Let h = -12 - -15. Suppose -g = 3*c - 15, -3*g = 3*c + 2*g - h. Let l(k) = -4*k - 4*k + c*k. Calculate l(j(t)).
22*t
Let z(h) = 50*h**2 + 40. Let q(k) = 4*k. Determine z(q(t)).
800*t**2 + 40
Let x(g) = 3*g - 3*g - 3*g. Let h(l) be the third derivative of -5*l**4/24 + 7*l**2 + 3*l. What is x(h(j))?
15*j
Let c(p) = -7*p**2. Let t(y) = -85*y - 422. Let n be t(-5). Let k(u) be the second derivative of u + 0 + 1/6*u**n + 0*u**2. Give k(c(q)).
-7*q**2
Let o(h) = -4*h. Let q(y) = 3*y - 5875. What is q(o(x))?
-12*x - 5875
Let v(x) = -7*x**2. Let g(f) be the first derivative of -f**2 + 39*f + 311. Calculate v(g(c)).
-28*c**2 + 1092*c - 10647
Let b(o) = -3*o. Let p(r) = 7*r**2 + 9*r**2 - 33*r**2 + 8*r + 11*r**2 + 5*r**2. Determine b(p(q)).
3*q**2 - 24*q
Let k(g) = 7*g**2. Let w(v) = 920*v. Calculate k(w(l)).
5924800*l**2
Let p(m) = -34*m - 93*m + 0*m - 129*m. Let s(i) = 5*i**2. Give s(p(k)).
327680*k**2
Let p(j) = j**2 - 2157555*j. Let k(g) = -2*g. What is p(k(o))?
4*o**2 + 4315110*o
Let z(w) = -174*w + 2. Let x(l) = -31*l - 51. Let a(t) = 11*t + 18. Let j(c) = 17*a(c) + 6*x(c). Calculate z(j(d)).
-174*d + 2
Suppose 0*m + 4*m = 2*b + 134, -b = -3*m + 101. Let s(d) = -m - d + 34 + 2*d. Let w(j) = 0*j**2 - j**2 - j**2. Calculate w(s(t)).
-2*t**2
Let d(m) = m**2. Let b = 13 + -11. Let z(o) = 2*o - b*o + 2008*o**2 - 1958*o**2. Determine z(d(t)).
50*t**4
Let k(o) = -7*o + 5. Let z(f) be the third derivative of f**4/4 - 2*f**3/3 + 20*f**2. Let j(u) = -4*k(u) - 5*z(u). Let r(b) = -b. What is r(j(m))?
2*m
Let y(d) be the second derivative of d**4/3 - 98*d - 2. Let s(l) = -3*l. Calculate s(y(m)).
-12*m**2
Let a = 1455 + -1010. Let b be ((-60)/48)/(1/(-356)). Let x(d) = 8*d + b - a. Let g(m) = m. Determine
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 7*p. Find the third derivative of v(r) wrt r.
-30
Let t = -3 + 3. Suppose -x - x = t. What is the first derivative of -4 + x*y**2 - 4*y**3 + 3 + 0*y**2 wrt y?
-12*y**2
Let q(a) = a - 7. Let b be q(6). Let g be (0 - (0 - -2))*b. Find the second derivative of -2 - 3*f**3 + 2 - g*f + 0 wrt f.
-18*f
Suppose -5*g = -4*q + 35, 2*q + g = -0*g + 7. Suppose 4 = -4*h - i + q*i, -h = 4*i - 14. What is the second derivative of b**3 + 3*b - 4*b - h*b**3 wrt b?
-6*b
Let f(l) be the second derivative of l**3/2 - 3*l**2/2 - 4*l. What is the derivative of f(u) wrt u?
3
Let w = 3 + -6. Let j be 4/5*30/w. Let u(c) = -9*c**4 - 5*c**2 - 7. Let v(x) = -14*x**4 - 8*x**2 - 11. Let m(a) = j*u(a) + 5*v(a). Differentiate m(p) wrt p.
8*p**3
What is the first derivative of -37 + 105*q + 91*q - 152*q wrt q?
44
Let f be 0 + 3 + 0 + 0. Suppose 4*q - f*q = 3. Find the first derivative of 2 + 1 + 5*i**3 - 3*i**q wrt i.
6*i**2
Suppose 3*p = 7 + 2. Find the second derivative of 5*g**p - 19*g**3 - 5*g + 15*g**3 wrt g.
6*g
Let l(h) be the third derivative of -h**6/24 - h**3/6 - 4*h**2. Differentiate l(b) with respect to b.
-15*b**2
Let s(b) = b**2 - b - 1. Let h(a) = 11*a**2 - 12*a - 3. Let p(l) = h(l) - 3*s(l). Find the second derivative of p(x) wrt x.
16
Let q be (-2)/(-4) - (-7)/2. Suppose -16 = -3*t - q. Find the second derivative of t*u**4 - 3*u - u**4 - u + u wrt u.
36*u**2
Let x(s) = 2*s**2 + 2*s - 3. Let p(o) be the first derivative of -o**3/3 - o**2 + 2*o - 2. Let r(f) = 3*p(f) + 2*x(f). Find the second derivative of r(w) wrt w.
2
Let n(z) be the second derivative of 0*z**5 + 0*z**7 + 0*z**3 + 0*z**6 - 1/28*z**8 + 0 - z - 1/4*z**4 + 0*z**2. What is the third derivative of n(v) wrt v?
-240*v**3
Let m = -27 - -163/6. Let c(p) be the second derivative of m*p**3 - 1/12*p**4 - p + 0*p**2 + 0. Find the second derivative of c(n) wrt n.
-2
Suppose q - 2 - 2 = 0. Differentiate -3*y**4 - 2*y**q + 1 + 5*y**4 - 3*y**4 wrt y.
-12*y**3
Let g be 3 + (2 - (0 - -2)). Suppose z = g*z - 4. Find the third derivative of -3*v**3 + 13 + 3*v**z - 13 wrt v.
-18
Differentiate 6*i**2 + 2*i**2 + 13 - 3*i**2 with respect to i.
10*i
Let w(s) be the third derivative of 0*s**4 - 2*s**2 + 0*s + 0 + 1/60*s**6 + 1/30*s**5 + 0*s**3. What is the third derivative of w(m) wrt m?
12
Let v(n) = -2*n**2 - 9*n + n**2 + 0*n**2 - n**2 - 6*n**3. Let m(o) = -3*o**3 - o**2 - 4*o. Let u(x) = -9*m(x) + 4*v(x). Find the third derivative of u(d) wrt d.
18
Let b(f) = 3*f**5 - 7*f**3 + 8*f**2 - 7*f. Let w(x) = 2*x**5 - 4*x**3 + 4*x**2 - 4*x. Let a(l) = -4*b(l) + 7*w(l). What is the third derivative of a(o) wrt o?
120*o**2
Let l(f) = f - 6. Let m(w) = -w - 1. Suppose p = 2*p + 3. Let v(o) = p*m(o) + l(o). Differentiate v(t) wrt t.
4
Suppose -5*d + 2*h + 10 = -2*h, 31 = d + 5*h. Differentiate -d*v**3 + 2 - 4*v**3 + 3 wrt v.
-30*v**2
Let m be 2/(39/(-15) + 3). Find the third derivative of d**5 + 4*d**2 + d**5 - 5*d**5 + 6*d**m wrt d.
180*d**2
Let c be 2 - 3 - (-4)/(-2). Let o = c - -4. What is the first derivative of -o + 0*x + 2*x + 3 wrt x?
2
Let i(c) = 35*c**4 + 5*c**3 - 50*c**2 + 5. Let t(q) = 36*q**4 + 4*q**3 - 49*q**2 + 4. Let o(z) = 4*i(z) - 5*t(z). What is the third derivative of o(f) wrt f?
-960*f
Suppose x + 0*x - 1 = 0. Let y = x + 0. Differentiate -y + 3*u - u**3 - 3*u wrt u.
-3*u**2
Let k(a) = 11*a**2 + 5*a + 3. Let p(g) = -g - 1. Let o(j) = k(j) + 5*p(j). What is the derivative of o(w) wrt w?
22*w
Suppose -1 = 2*p + 7. Let g = p + 7. What is the second derivative of 0*l**2 - 2*l**g - 2*l + 4*l**3 + 0*l**2 wrt l?
12*l
Let x = 2 - 0. Let q(i) = -i + 3*i + 3*i - 5 + x*i. Let p(d) = -20*d + 14. Let a(j) = 6*p(j) + 17*q(j). Differentiate a(f) with respect to f.
-1
Let y = 4 - 1. Find the third derivative of -4*m**y + 3*m**3 - 12*m**2 + 8*m**2 wrt m.
-6
Suppose -j = -a - 2, -a + 0*a - 2*j = -4. Suppose 10 = -3*w - 5, -2*p + 3*w + 19 = a. Find the third derivative of 3*v**2 + 4*v**6 + v**2 - v**2 - p*v**6 wrt v.
240*v**3
Let k be (1/3)/((-6)/(-54)). What is the derivative of 3*m**k + 4*m + 2*m**3 - 5 - 4*m wrt m?
15*m**2
Suppose -2*a = 10*a - 60. Let c(h) be the first derivative of 2*h - 2/5*h**a + 0*h**2 + 0*h**4 + 2 + 0*h**3. What is the first derivative of c(l) wrt l?
-8*l**3
Let t = 1 - -2. What is the second derivative of -r + t*r**3 + 5*r**3 - 5*r**3 wrt r?
18*r
What is the derivative of j - 62 - 22*j**3 - 40*j**3 + 66*j**3 wrt j?
12*j**2 + 1
Suppose 0 = 3*z + 5*a - 4, -5*a = -4*z + 17 - 0. Differentiate -9*d**z - 11*d**2 + 9 + 11*d**2 wrt d.
-27*d**2
Let d(x) be the second derivative of -x**2 + 3*x + 0 - 5/6*x**3. Differentiate d(n) with respect to n.
-5
Let u(c) be the first derivative of -14*c**5/5 - c**3/3 + 7. What is the third derivative of u(d) wrt d?
-336*d
Let c(v) = -v**3 - 4*v**2 - 4*v - 3. Let b be c(-3). Suppose b = -2*s + 5 + 3. What is the third derivative of -p**2 + 0*p**s + 2*p**4 - 3*p**4 wrt p?
-24*p
Suppose -15 = -3*u - 2*u. Find the third derivative of 3*s**3 + 3*s**4 - 2*s**u - s**2 - s**3 wrt s.
72*s
Let f be (-2)/(-3) + 13/3. Find the second derivative of 2*o - o - 2*o - f*o**2 + 3*o**2 wrt o.
-4
Let r(x) be the first derivative of -x**3/3 - 5*x**2 - 7*x - 1. Let o be r(-9). Find the second derivative of 0*j + 0*j**2 - j + j**o wrt j.
2
Let j(i) = i + 1. Let t be j(-2). Let u(p) = -11*p + 1. Let z be u(t). Find the third derivative of 12*y - 3*y**2 + 3*y**3 - z*y wrt y.
18
Let a be (-8)/6*114/(-4). Suppose 3*x + 5 = a. Find the third derivative of 11*k**3 + 2*k**4 - 3*k**2 - x*k**3 wrt k.
48*k
Let s(o) = -o**2 + o**3 + 0 + 10*o**2 + 8*o + 2. Let h be s(-8). What is the second derivative of -3*b**h + b - 3 + 3 wrt b?
-6
What is the derivative of -4*z + 4*z + 6 - 11*z**3 - 9 wrt z?
-33*z**2
Suppose 0 = -o - 4*j + 2, -4 = -o - o - 4*j. What is the derivative of 2*p**2 + 1 + 1 + p**o + 1 wrt p?
6*p
Suppose 0 = 4*g - 4 - 8. Find the second derivative of -3*p - g*p**3 + p + 7*p - 3*p wrt p.
-18*p
Let q(s) = -4*s - 9. Let x(t) = -3*t - 8. Let m(w) = 5*q(w) - 6*x(w). What is the first derivative of m(h) wrt h?
-2
Let f be (-5 + 2)/((-3)/2). What is the first derivative of -1 - 3*q**3 - 3 + 5 + f*q**3 wrt q?
-3*q**2
Let p = -74 - -79. Let q(z) be the second derivative of 0*z**4 + 3/20*z**p - z**2 + 0 + 3*z + 0*z**3. Differentiate q(l) wrt l.
9*l**2
Let a(t) be the third derivative of t**7/420 - t**6/180 - t**3/2 - t**2. Let v(w) be the first derivative of a(w). What is the third derivative of v(z) wrt z?
12
What is the derivative of 8*u - 6*u**3 + 3 + u - 9*u wrt u?
-18*u**2
Let p(n) be the second derivative of -19*n**4/6 + n**2/2 + 11*n. What is the first derivative of p(q) wrt q?
-76*q
Let x = -3 - -6. Let k(l) = 2*l + 10. Let m be k(-4). What is the third derivative of -y**m + y**x - y**6 - y**3 wrt y?
-120*y**3
Let g(t) be the first derivative of -t**6/360 - t**4/8 + t**3/3 + 1. Let v(b) be the third derivative of g(b). Differentiate v(c) wrt c.
-2*c
What is the third derivative of 2*x**4 + 0*x**2 - 3*x**4 - 4*x**2 wrt x?
-24*x
Let k = 5 - 1. Suppose 3*a = -t - 2, -3*a = 10 - k. What is the first derivative of -3*d**4 - 1 + 0*d**t + 3*d**4 - d**4 wrt d?
-4*d**3
Let z(q) = -8*q**2 + 5*q + 2. Let d(x) = -33*x**2 + 21*x + 9. Let o = -9 - -4. Let j(p) = o*d(p) + 21*z(p). Differentiate j(y) wrt y.
-6*y
Let o(s) = s**4 + 5*s**3 - 5*s**2 + 5*s + 1. Let d(x) = 2*x**3 - 2*x**2 + 2*x. Let j(i) = 10*d(i) - 4*o(i). What is the first derivative of j(h) wrt h?
-16*h**3
Let l(k) = k**3 - 4*k**2 + 3*k + 1. Let w be l(3). Let r = w - -1. Find the second derivative of -t - 3*t**r + 4 - 4 + 0 wrt t.
-6
Let w(d) = -3*d**2 - 4. Let b(u) = 9*u**2 + 12. Let q = -11 + 5. Let l(s) = q*b(s) - 17*w(s). Differentiate l(h) with respect to h.
-6*h
Let i(j) = 2*j + 16. Let h(f) = -f - 1. Let w(y) = -5*h(y) - i(y). Differentiate w(r) wrt r.
3
Let g(m) = 18*m**3 - 8*m**2 - 4*m. Let o(u) = u**3 + u**2 + u. Let b(c) = g(c) + 8*o(c). What is the second derivative of b(z) wrt z?
156*z
What is the derivative of -37 + 27*n**4 - 7*n**4 + 20 + 9*n**4 wrt n?
116*n**3
Let c(f) be the second derivative of -f**8/1680 - f**5/60 - f**3/3 - 2*f. Let h(i) be the second derivative of c(i). Find the second derivative of h(r) wrt r.
-12*r**2
Let s = 4 + 1. Find the third derivative of -s*m + m**5 - 4*m**2 + 5*m wrt m.
60*m**2
Let o(r) = 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
ked without replacement from wdwaxwgxaabawxw. Give prob of sequence wxa.
2/91
Three letters picked without replacement from cxlccgccxtgccclcxtcg. Give prob of sequence ltl.
1/1710
Two letters picked without replacement from {z: 1, d: 5, j: 1, c: 5}. Give prob of sequence jz.
1/132
Calculate prob of sequence ptt when three letters picked without replacement from {z: 7, p: 4, t: 2}.
2/429
Calculate prob of sequence td when two letters picked without replacement from ddtdt.
3/10
What is prob of sequence ssss when four letters picked without replacement from {x: 6, s: 12}?
11/68
Three letters picked without replacement from {k: 4, x: 2, m: 1, i: 1, a: 3, r: 1}. Give prob of sequence amk.
1/110
Two letters picked without replacement from {b: 3, g: 5}. Give prob of sequence gb.
15/56
Three letters picked without replacement from gzzzjnigjicg. What is prob of sequence jng?
1/220
What is prob of sequence nyb when three letters picked without replacement from skbswsnssysbwwkswsn?
2/2907
Three letters picked without replacement from {f: 2, y: 9, d: 7, v: 1}. What is prob of sequence dff?
7/2907
Four letters picked without replacement from {x: 2, g: 3, e: 5}. Give prob of sequence egge.
1/42
Two letters picked without replacement from iipibupppyciuipyppi. What is prob of sequence by?
1/171
Two letters picked without replacement from jndcnacanccczccccz. Give prob of sequence jn.
1/102
What is prob of sequence hl when two letters picked without replacement from hlhlll?
4/15
Calculate prob of sequence yry when three letters picked without replacement from {r: 16, y: 4}.
8/285
Two letters picked without replacement from {l: 3, q: 7, o: 1, f: 5}. Give prob of sequence lq.
7/80
What is prob of sequence bef when three letters picked without replacement from {f: 5, e: 7, b: 4}?
1/24
What is prob of sequence qc when two letters picked without replacement from {n: 1, k: 1, y: 8, c: 8, q: 2}?
4/95
Two letters picked without replacement from ufffudfduuufuuu. Give prob of sequence dd.
1/105
Calculate prob of sequence bnw when three letters picked without replacement from {w: 1, a: 1, m: 1, b: 1, n: 1}.
1/60
What is prob of sequence yttf when four letters picked without replacement from {r: 1, f: 1, y: 2, i: 4, t: 3}?
1/660
Calculate prob of sequence vvxr when four letters picked without replacement from {q: 2, x: 1, e: 2, v: 6, r: 3}.
15/4004
Three letters picked without replacement from pquuqbqljll. Give prob of sequence llu.
2/165
Three letters picked without replacement from {u: 1, c: 9, i: 1}. What is prob of sequence ucc?
4/55
What is prob of sequence hfhz when four letters picked without replacement from zozohhzzohlzzzof?
1/1040
Four letters picked without replacement from jjjjcjjcjjjcjjjjjcjj. Give prob of sequence cjcj.
8/323
What is prob of sequence ua when two letters picked without replacement from ihddavuiavhdhia?
1/70
What is prob of sequence ad when two letters picked without replacement from {d: 2, a: 2, z: 1}?
1/5
Two letters picked without replacement from {h: 7, t: 2, i: 3}. What is prob of sequence th?
7/66
Three letters picked without replacement from {q: 5, n: 3}. Give prob of sequence nqq.
5/28
Two letters picked without replacement from rfdvvxvbddx. What is prob of sequence xx?
1/55
Two letters picked without replacement from kwmkwjkwmjmkkmmjkmkm. What is prob of sequence kw?
21/380
Two letters picked without replacement from {f: 2, a: 1, r: 1, i: 2, q: 1}. What is prob of sequence fi?
2/21
Calculate prob of sequence kuou when four letters picked without replacement from rkuoccurusc.
1/1320
What is prob of sequence dg when two letters picked without replacement from ogogggfgoogoggod?
1/30
Calculate prob of sequence ii when two letters picked without replacement from {p: 9, g: 1, i: 2, l: 1}.
1/78
Calculate prob of sequence jzlt when four letters picked without replacement from jzztalb.
1/420
What is prob of sequence xall when four letters picked without replacement from uxaxulxxuxxlxxxxxxu?
1/3876
Three letters picked without replacement from {t: 4, c: 6}. What is prob of sequence cct?
1/6
Calculate prob of sequence uku when three letters picked without replacement from {x: 1, z: 2, h: 4, u: 2, e: 1, k: 2}.
1/330
Calculate prob of sequence vecd when four letters picked without replacement from eezeevdc.
1/420
Calculate prob of sequence fskk when four letters picked without replacement from {k: 4, f: 2, s: 2}.
1/35
Calculate prob of sequence iwa when three letters picked without replacement from wabayri.
1/105
Four letters picked without replacement from baaaaaaaabb. What is prob of sequence abba?
7/165
Three letters picked without replacement from bbkkkbkkbkbbkbkk. What is prob of sequence kkk?
3/20
Calculate prob of sequence cl when two letters picked without replacement from {h: 1, c: 1, l: 1}.
1/6
Two letters picked without replacement from vllvvlvvvvl. What is prob of sequence lv?
14/55
What is prob of sequence op when two letters picked without replacement from pyuouolj?
1/28
Two letters picked without replacement from {u: 5, o: 5, k: 1}. What is prob of sequence ku?
1/22
Two letters picked without replacement from vwllvnlnnwvlvnn. What is prob of sequence nv?
2/21
Four letters picked without replacement from {k: 14, h: 5, e: 1}. Give prob of sequence ehhe.
0
Four letters picked without replacement from {p: 2, q: 1, k: 5, r: 1, h: 1}. Give prob of sequence kqrp.
1/504
What is prob of sequence hd when two letters picked without replacement from {h: 2, y: 1, d: 1, q: 2, z: 2, p: 1}?
1/36
Two letters picked without replacement from {h: 2, p: 1, q: 2, s: 3, y: 6}. Give prob of sequence qq.
1/91
Two letters picked without replacement from {q: 2, w: 2, c: 4, n: 1}. Give prob of sequence cc.
1/6
Calculate prob of sequence qt when two letters picked without replacement from tqtd.
1/6
Calculate prob of sequence gg when two letters picked without replacement from {g: 7, i: 12}.
7/57
Two letters picked without replacement from {t: 3, b: 2, m: 10}. What is prob of sequence tb?
1/35
Calculate prob of sequence bn when two letters picked without replacement from imeimiieiiihnhibh.
1/272
Three letters picked without replacement from yrryyyyyyyryrryy. Give prob of sequence ryy.
55/336
Calculate prob of sequence qq when two letters picked without replacement from oqoqqoooqooqo.
5/39
Three letters picked without replacement from lfplllnnpfnflfppnl. What is prob of sequence fpp?
1/102
Two letters picked without replacement from eghffef. Give prob of sequence ef.
1/7
Calculate prob of sequence gm when two letters picked without replacement from sswrgms.
1/42
Two letters picked without replacement from {c: 2, x: 4, m: 2}. What is prob of sequence mc?
1/14
What is prob of sequence lsv when three letters picked without replacement from {w: 1, s: 6, v: 5, l: 1, h: 2, e: 2}?
1/136
Three letters picked without replacement from {z: 3, q: 2, y: 1, a: 5, x: 1}. What is prob of sequence zxa?
1/88
Calculate prob of sequence zemq when four letters picked without replacement from lzmellgelllzlqglm.
1/7140
Calculate prob of sequence kak when three letters picked without replacement from {k: 3, a: 2, w: 3}.
1/28
Four letters picked without replacement from {t: 5, n: 1, o: 1, h: 1, u: 1, r: 5}. Give prob of sequence uonr.
5/24024
Four letters picked without replacement from {c: 1, b: 3, t: 3}. Give prob of sequence bttc.
3/140
What is prob of sequence ddud when four letters picked without replacement from udduuuduuuuduudu?
11/728
Three letters picked without replacement from auuuau. What is prob of sequence aua?
1/15
Calculate prob of sequence sl when two letters picked without replacement from {l: 1, h: 1, j: 1, f: 1, v: 1, s: 2}.
1/21
What is prob of sequence sp when two letters picked without replacement from xxpxpxppxpxppxxpppsx?
1/38
Calculate prob of sequence aaf when three letters picked without replacement from {f: 5, a: 14}.
455/2907
Calculate prob of sequence lvlv when four letters picked without replacement from {v: 6, l: 4}.
1/14
Three letters picked without replacement from {q: 4, x: 6, w: 4}. Give prob of sequence qqx.
3/91
Calculate prob of sequence zzlr when four letters picked without replacement from {z: 2, p: 1, r: 3, l: 4}.
1/210
Calculate prob of seq
|
{
"pile_set_name": "DM Mathematics"
}
|
-154*m + 159*m = -5*d + 2545, -d + 3054 = 6*m. Calculate the remainder when m is divided by 8.
5
Let a = 144 + 136. Suppose 98*n - 102*n - 352 = 0. Let f = n + a. What is the remainder when f is divided by 39?
36
Calculate the remainder when (2 - 3*85/30)*-34 is divided by 52.
13
What is the remainder when ((-2*1118)/4)/(19/(-57)) is divided by 184?
21
What is the remainder when (-7296)/(-4) + 91/7 + -1 is divided by 15?
6
Suppose -9*p + 4 - 22 = 0. Calculate the remainder when 170 is divided by 21 - 21 - (-41 + p).
41
Let n = 16 + -67. Suppose 0 = -6*u + 7*u + 47. Let q = u - n. Calculate the remainder when q is divided by 2.
0
Suppose -5*q = 4*b - 2312, -5*q + 4*b + 1939 + 349 = 0. Calculate the remainder when q is divided by 452.
8
Let l = -29 + 41. Suppose 4*t = -0 + l. What is the remainder when 20 is divided by 15 - (t - (1 - 2))?
9
Let b(p) = -199*p**3 - 2*p**2 + p. Let x be b(1). Let c = 46 - 42. What is the remainder when ((-3)/6)/(2/x) is divided by c?
2
Let r = -11119 - -11157. What is the remainder when 5055 is divided by r?
1
Suppose -36 = -6*f + 72. Suppose 0 = -11*j + f*j - 280. Calculate the remainder when 50 is divided by j.
10
Let h(b) = b**2 + 7*b - 38. Let q be h(-10). Let m(j) = 2*j**3 + 16*j**2 - 2*j + 9. What is the remainder when 99 is divided by m(q)?
24
Let r(q) = -q**3 + q**2 - q + 4. Let t be r(0). Let j(n) = 11*n - 10. Let c be j(t). Let h = -25 + c. What is the remainder when h is divided by 5?
4
Suppose 9*k - 135 = -18. Let d = 1606 - 958. Calculate the remainder when d is divided by k.
11
Calculate the remainder when 1405 is divided by -37 - -40 - ((-1518)/10 - (-2)/(-10)).
10
Let t be 3/6 - (-207)/(-6). Let b = 53 - t. Suppose -12 + b = 5*w. What is the remainder when 102 is divided by w?
12
Let f(h) = -224 - 226 + 2*h + 514. Suppose 3*m - 2*m = -5*c + 66, 2*c = 2*m - 84. Calculate the remainder when m is divided by f(-26).
10
Let x = -1704 - -1820. Calculate the remainder when 334 is divided by x.
102
Calculate the remainder when ((-146)/8)/(2/(-16)) is divided by 3/2*(-79 - -113).
44
Suppose 240*z = 241*z + 3. What is the remainder when 156 is divided by 11/z + 28/42 - -44?
33
Let y = -18744 - -20706. What is the remainder when y is divided by 8?
2
Suppose 11*l = l + 1030. Let h = l - 97. Let n(x) = 3*x**2 - 1. What is the remainder when n(2) is divided by h?
5
Let r(n) = 49*n**2 - 214*n + 212. What is the remainder when r(1) is divided by 6?
5
Suppose -2*u - 4 = 2. Let w be 477 - 1 - u*6/9. Suppose -5*c + 384 = 4*g - 5, 0 = -5*g + 2*c + w. Calculate the remainder when g is divided by 25.
21
Let t(j) = j**2 + j - 7. Suppose -19*s = -2*s + 7*s. Suppose s = -k - 496 + 503. Calculate the remainder when t(-5) is divided by k.
6
Calculate the remainder when 13*6/9*8688/32 is divided by 62.
59
Let z = 85 - 57. Let p(d) = 247*d**3 + 10*d - 2*d**2 + 252*d**3 - 500*d**3 - 10. Calculate the remainder when z is divided by p(-5).
13
Let o = 4 + 24. Suppose -154 + 189 = 7*y. Suppose y*l + o = 9*l. What is the remainder when 110 is divided by l?
5
Suppose -4*s = -2*o - 462, -22 - 455 = -4*s - 3*o. What is the remainder when s is divided by 111?
6
Let m(s) = -483*s + 965*s + 193 - 484*s. What is the remainder when m(16) is divided by 92?
69
Suppose 16 = 2*d + 4*j, 4 = -d - 3*d + j. Suppose -9*n + 209 - 83 = d. What is the remainder when 192 is divided by n?
10
Let l(o) = -o**2 + 17*o + 5. Suppose 0 = 109*y - 112*y + 36. Suppose 0 = -r + 4*r - 57. Calculate the remainder when l(y) is divided by r.
8
Calculate the remainder when (59884/(-24))/11*-6 is divided by 47.
45
Let c = -29763 + 45998. Calculate the remainder when c is divided by 6.
5
Suppose 15*k = 2 + 58. Suppose 3*m + 3*w = 105, 3*m = k*m - w - 35. What is the remainder when m is divided by 23?
12
Suppose -2591 = -12*p + 553. Let m = 643 + -610. Calculate the remainder when p is divided by m.
31
Calculate the remainder when 25/30 - (-1)/((-12)/(-2786)) is divided by 148.
85
Suppose -5*f + 156 = 2*c, -7*c - 108 = -3*f - 10*c. Calculate the remainder when 169 is divided by f.
1
Let d = 153 + -104. Let j = 19565 + -19552. What is the remainder when d is divided by j?
10
Let u = 6080 - 6045. Calculate the remainder when 243 is divided by u.
33
Let p(c) = c - 6. Suppose 15 = m + 3*i, -m + 3 = 2*i - 5*i. Calculate the remainder when 1*-1 - (-16 + 5) is divided by p(m).
1
Let a = -129 + 228. Suppose -a = -3*q + 105. Calculate the remainder when q is divided by 11.
2
Let g = -546 - -548. Suppose -z = g, 3*p + p - 392 = 4*z. What is the remainder when p is divided by 87?
9
Suppose y + 28 = 5*y. Suppose -32 = 7*o - 15*o. Let b(k) = -2*k**2 + 14*k + 2. What is the remainder when b(o) is divided by y?
5
Let z = -3697 + 3790. What is the remainder when 176 is divided by z?
83
Let h = -598 - -766. Calculate the remainder when h is divided by (86/3)/(2/3).
39
Let j(r) = -16*r**2 - 55*r + 3. Let i be j(-5). Calculate the remainder when (-3 - 0)*10*i/6 is divided by 34.
32
Suppose 4*t - 670 = 2*a, 5*t - 17 = 5*a + 808. Suppose 87*d = 97*d - t. What is the remainder when 44 is divided by d?
10
Let z be (3 - 1)*(-159)/(-6). Suppose -z = 7*l - 228. What is the remainder when l is divided by 14?
11
Let w = -417 + 2876. Calculate the remainder when w is divided by 23.
21
Let j(n) = 2*n**3 - 10*n**2 + 11*n - 6. Let b(r) = r**3 - 10*r**2 - 8*r - 23. What is the remainder when b(11) is divided by j(4)?
4
Suppose 4*u = 4*r - 16432, 8226 = 2*r + 108*u - 105*u. What is the remainder when r is divided by 11?
7
Let o = -863 + 910. What is the remainder when 795 is divided by o?
43
Calculate the remainder when 6829 is divided by 100/10 + 109 + -7.
109
Suppose -2*o = 2*g - 6, -4*o + g - 8 = -20. Suppose -n - 128 = 3*v - 8*v, 0 = -o*v - n + 80. Calculate the remainder when v is divided by 11.
4
Let z(p) = -49*p - 11. Let m(j) = -33*j - 7. Let h(o) = 8*m(o) - 5*z(o). What is the remainder when 1107664/22645 + (-3)/(-35) is divided by h(-1)?
13
Let g = -311 - -319. Calculate the remainder when (36/5)/(3/15) is divided by g.
4
Let p = 18 + -5. Let z(b) = -2124*b + 12790. What is the remainder when z(6) is divided by p?
7
Let n(l) = -4*l**3 - 5*l**2 + 168*l + 338. Calculate the remainder when 5176 is divided by n(-2).
10
Let i(s) = -35*s - 291. What is the remainder when 75 is divided by i(-10)?
16
Let s(w) = -146*w - 377. Calculate the remainder when s(-5) is divided by 73.
61
Let j(a) = 7*a**2 - a - 1. Let s be j(-4). Let k = 25 + -23. Suppose -5*w = 5*q - w - s, 2*q - k*w = 64. What is the remainder when 215 is divided by q?
26
Let m = -58894 + 58923. Suppose 0 = -2*p + 26 + 140. Calculate the remainder when p is divided by m.
25
Let v = -24 - -17. Let w(h) = 7*h + 38. Calculate the remainder when (v - -1)*1276/(-66) is divided by w(-3).
14
Suppose 3*m + 12 = -0*b - 4*b, 5*b + m + 15 = 0. What is the remainder when ((-1974)/8)/b + (-2)/8 is divided by 18?
10
Let r(k) be the first derivative of 434*k**3/3 - 4*k**2 + 6*k + 47. Calculate the remainder when r(1) is divided by 31.
29
Suppose 601*i - 536*i = 6435. What is the remainder when i is divided by 27?
18
Let r(b) = 16*b**2 + 29*b + 28. Let q be r(-1). Suppose -q*x = 199 - 3064. What is the remainder when x is divided by 24?
23
Let h(u) = -u**3 + 46*u**2 + 208*u - 43. Let r be h(50). What is the remainder when 9 - (-4 + 18) - (0 - r) is divided by 114?
10
Let z(c) = 2*c**3 + 12*c**2 - 4*c + 1. Let k = -2693 - -2966. What is the remainder when k is divided by z(-6)?
23
Let k = -196 + 127. Let s = -57 - k. Suppose c + 2*c - 135 = 0. What is the remainder when c is divided by s?
9
Let p(r) = 3*r + 54. Let v be p(-19). Let z be -1*(9/27 + 16/v). Suppose z*c - 20 + 67 = 3*o, -3*c = -15. What is the remainder when o is divided by 14?
10
Suppose -601*c + 599*c = 5*l - 558, 0 = 4*l + 5*c - 477. What is the remainder when l is divided by (17/(-3))/((-1)/6)?
6
Let z(c) = 13*c - 148. Suppose -o + 28 + 3 = 0. Calculate the remainder when z(o) is divided by 29.
23
Suppose 25*v - 114*v = -194510 - 64391. What is the remainder when v is divided by 13?
10
Let b = 574 - 538. Let x(a) = -20*a - 7. Let z be x(-6). Let v = z - b. Calculate the remainder when v is divided by 13.
12
Let r(s) = 2*s**2 + 14*s + 12. Let l be -252 + 12/(-10)*10/(-4). Let a = 391 + l.
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + z + 1. Let t(k) = -5*k**2 + 8*k + 6. Let q be 21/(-15) - (-8)/20. What is q*t(o) + 6*j(o)?
-o**2 - 2*o
Let u(c) = -1. Let p(v) = -21*v + 3. Calculate -p(o) - 4*u(o).
21*o + 1
Let h(w) = w - 1. Let k(g) = -12*g + 6. Give -18*h(p) - 3*k(p).
18*p
Let x(z) = -2 - 3*z**2 - 3 + 2*z + 3 - 4*z**2. Let q(k) = k. Let a be q(-6). Let o(w) = 13*w**2 - 4*w + 4. Calculate a*o(c) - 11*x(c).
-c**2 + 2*c - 2
Let w(t) = -t. Let i(m) = 119*m. Calculate -i(o) - 102*w(o).
-17*o
Let w be (240/(-72))/((-4)/(-6)). Let n(z) = z**3 + 5*z. Let h(j) = 2*j. What is w*h(o) + 2*n(o)?
2*o**3
Let r(m) = -m**2. Let a(c) = -4*c**2 - 2. Calculate -a(z) + 5*r(z).
-z**2 + 2
Let k(t) = -t**2 + 1. Suppose 6*c + m = 5*c + 5, 5*m - 1 = c. Let g(b) = -b**2 + 2. Determine c*k(x) - 3*g(x).
-x**2 - 2
Let v(w) = 3*w**3 + 5*w**2 - 5*w - 7. Let q(r) = -r**3 - r**2 + r + 1. Determine 5*q(p) + v(p).
-2*p**3 - 2
Let v(b) = b + 4. Let u(l) = -5*l - 18. Let n(j) = -u(j) - 4*v(j). Let h(c) = -2*c + 4*c + 9 + 2*c. Give -2*h(z) + 9*n(z).
z
Let z(r) = -r**3 - r + 1. Let c(u) = -5*u**3 - 2*u**2 + 2. Calculate c(m) - 2*z(m).
-3*m**3 - 2*m**2 + 2*m
Let b(l) = 65*l**2 - 8. Let o(t) = -22*t**2 + 3. Determine -3*b(c) - 8*o(c).
-19*c**2
Let p(w) = w**2. Let j(z) = -9*z**2. What is -5*j(k) - 40*p(k)?
5*k**2
Suppose 13 = -5*d + 2*o - 3*o, 1 = d - o. Let c(q) = 4. Let i(v) = 2*v + 23. Let r(t) = -t - 12. Let a(u) = -3*i(u) - 5*r(u). Calculate d*a(j) - 5*c(j).
2*j - 2
Let j(c) = -2*c**2 + 3*c + 3. Let p(n) = -3*n**2 + 4*n + 4. Determine -7*j(f) + 5*p(f).
-f**2 - f - 1
Let a(l) = -2 - 3*l + 3 + 6*l + 2 + 3*l**2 + l**3. Suppose 3*x + 3 = 5*i, -i = 3*x - 1 + 4. Let k(n) = -n**2 - n - 1. Give x*a(m) - 3*k(m).
-m**3
Let b(r) = -4*r - 2. Let h(n) = 5*n - 3 + 0 + 5. Let l(t) = t**2 + 2*t. Let x be l(-2). Suppose 4*j + 11 - 27 = x. Give j*b(s) + 3*h(s).
-s - 2
Let v(r) = 2*r**2 + r + 5. Let g(n) = n + 1. Suppose -2*d + 0*d - 5*a = 28, 5*a - 35 = 5*d. Let t be (-4)/(-6) + (-3)/d. Calculate t*v(o) - 3*g(o).
2*o**2 - 2*o + 2
Let o(z) = -2*z**2 - 5*z - 6. Let w(a) = 2*a**2 + 6*a + 7. Calculate 5*o(b) + 4*w(b).
-2*b**2 - b - 2
Let a(d) = d**3 - 4*d - 2. Let s(h) = 6*h**3 - 21*h - 11. Let w be 3*-2*3/6. Let g be -2 + (-12)/9*w. Determine g*s(x) - 11*a(x).
x**3 + 2*x
Let w(d) = d**2 + d - 1. Let u(y) = 20*y**2 + 2*y - 2. Give -u(q) + 2*w(q).
-18*q**2
Let r(i) = -24*i + 24. Let f(w) = 9*w - 1. Let h = -1 + -3. Let c(t) = 26*t - 4. Let a(k) = h*c(k) + 11*f(k). Calculate 14*a(b) - 3*r(b).
2*b - 2
Suppose -8 = -2*t - 0. Let k(h) = t*h - 1 + 0 + 0*h. Let d(c) = -13*c + 3. Suppose 0 = -o + 2*o + q + 1, 0 = 3*o - 5*q + 11. What is o*d(a) - 7*k(a)?
-2*a + 1
Let q be -1*2 + (-8 + 5 - -7). Let f(b) be the third derivative of 2*b**q + 1/24*b**4 + 0*b**3 + 0 + 0*b. Let d(n) = -n**2 - 6*n. Determine d(t) + 6*f(t).
-t**2
Let w(z) = -96*z**3 + 11*z**2 + 9*z - 9. Let j(o) = 48*o**3 - 5*o**2 - 4*o + 4. Calculate 9*j(c) + 4*w(c).
48*c**3 - c**2
Let p(k) = -11*k**2 + 8*k. Let f(a) = -7*a**2 + 5*a. Suppose 0*y - 208 = -4*y. Suppose -4*w = -3*s - 7*w - 36, 0 = 4*s + 5*w + y. What is s*f(c) + 5*p(c)?
c**2
Let o(f) = -f + 2. Let u(r) = -4 + 3 + 0*r + r. Give -3*o(z) - 6*u(z).
-3*z
Let n(h) = 27*h**3 + 2*h**2 + 3*h**2 - 4*h - 20*h**3. Let p(l) = -l**3 - l**2 + l. Calculate -n(i) - 5*p(i).
-2*i**3 - i
Let k(p) = -2*p + 2. Let w be 0 + 24/16 - (-94)/(-4). Let n(m) = 10*m - 4. Let d(a) = 21*a - 7. Let r(g) = -3*d(g) + 7*n(g). Calculate w*k(s) - 6*r(s).
2*s - 2
Let t(m) = -7*m**3 - 6*m**2 - 5. Let h(c) = -6*c**3 - 7*c**2 - 6. Calculate 5*h(u) - 6*t(u).
12*u**3 + u**2
Let r(b) = 2*b**2. Suppose 7 = 3*k - 4*a, -10 - 11 = -3*k - 3*a. Let o(i) = -2*i**2. Determine k*o(d) + 4*r(d).
-2*d**2
Let g(b) = -49*b**3 - 2*b + 2. Let v(j) = -98*j**3 - 5*j + 5. Give -5*g(t) + 2*v(t).
49*t**3
Let q(i) = -3*i + 22*i**3 + 4*i**2 + 4 - 20*i**3 + 2*i. Let y(k) = k**3 + 3*k**2 - k + 3. What is -3*q(t) + 4*y(t)?
-2*t**3 - t
Let x(l) = -5*l - 2. Let p = 3 + -2. Let j(s) = 5 - 6 + p + s. Give -4*j(m) - x(m).
m + 2
Let j(m) = m**2 + 4*m**2 - 4*m**3 + 9 + 0*m**2 - 4. Let o(k) = -6*k**3 + 8*k**2 + 8. What is 8*j(d) - 5*o(d)?
-2*d**3
Let o(a) be the first derivative of 9*a**4/4 + 8*a**3/3 - 8*a - 9. Let f(k) = 3*k**3 + 3*k**2 - 3. What is 8*f(d) - 3*o(d)?
-3*d**3
Let l(s) = s**2 - s - 1. Let j(q) = -4*q**2 + 4*q + 5. Calculate j(x) + 5*l(x).
x**2 - x
Let j(s) = -s. Let g(c) = 5*c + 3. Let n(u) = -u + 3. Let a be n(5). Let p(f) = a*j(f) - g(f). Let i(d) = -3 - 1 - 2*d + 2. Calculate -5*i(k) + 3*p(k).
k + 1
Suppose 3 + 3 = c. Let b(i) = -5*i - 7. Let j be 1/(((-1)/(-21))/(2/(-6))). Let m(g) = -4*g - 6. Give c*b(o) + j*m(o).
-2*o
Let v(k) = -35*k + 2. Let i(d) = d. What is 4*i(z) + v(z)?
-31*z + 2
Let a(n) = -6*n + 9. Let v(o) = 3*o - 5. Give -3*a(k) - 5*v(k).
3*k - 2
Let y(u) = u + 1. Let x(c) = -11*c - 5. Determine x(l) + 5*y(l).
-6*l
Let m(z) = 4*z**2 - 4*z + 11. Suppose 5*h = 2*r - 37, h - 19 = -3*r + 11. Let u(c) = -2*c**2 + 2*c - 6. What is r*u(k) + 6*m(k)?
2*k**2 - 2*k
Let v(d) = 6*d**3 + 3*d + 7. Let t(c) = 5*c**3 + 2*c + 6. Calculate 3*t(o) - 2*v(o).
3*o**3 + 4
Let r(v) = -7*v - 4. Let i(l) = -4 + 0 - 5 + 4 - 8*l. What is -5*i(n) + 6*r(n)?
-2*n + 1
Let p(v) = -7*v**2 - 9*v + 15. Let k(h) be the first derivative of 4*h**3/3 + 5*h**2/2 - 8*h - 8. Give -11*k(u) - 6*p(u).
-2*u**2 - u - 2
Let b(z) = -z - 11. Let s be b(-9). Let v(f) = -3*f**2 + f + 4. Let l(u) = -4*u**2 + 2*u + 5. Calculate s*l(r) + 3*v(r).
-r**2 - r + 2
Let m(a) = -a - 1. Suppose 0 = -3*s + 4*c + 2, 0 = -2*s + 5*c + 13. Let v be 5/(-15)*-9 + -2. Let q(b) = 2*b**2 - 5*b - 6. Determine s*m(i) + v*q(i).
2*i**2 + i
Let t(c) = 5*c**3 + 2*c**2 + 3*c + 1. Let g(q) = 11*q**3 + 5*q**2 + 7*q + 3. What is 2*g(a) - 5*t(a)?
-3*a**3 - a + 1
Let s(q) = 7*q + 3. Let g(a) be the first derivative of -a**3 - a**2 + 3*a - 5. Let f(d) be the first derivative of g(d). Determine 5*f(u) + 4*s(u).
-2*u + 2
Let c(i) = 5*i**2 - i - 2. Let d(v) = 4*v + 1 + 2 - 21*v**2 + 6. Determine 9*c(u) + 2*d(u).
3*u**2 - u
Let d(r) = 2*r**3 + 2*r**2 - 3. Let j(u) = 11 - 7*u**2 - 6*u**3 + u - 1 + 0*u**2. What is 7*d(i) + 2*j(i)?
2*i**3 + 2*i - 1
Let c(q) = -q**3 - 21*q + 17. Let a(t) = 5*t - 4. Calculate -9*a(g) - 2*c(g).
2*g**3 - 3*g + 2
Suppose 5*x + 0*w = 2*w - 7, -4*x - 3*w = 1. Let d(c) = 3*c + 0*c - 4*c. Let p(r) = -7*r - 2. Let b(s) = s. Let y(v) = -4*b(v) - p(v). What is x*y(q) - 2*d(q)?
-q - 2
Let f(m) be the second derivative of m**4/12 + m**3/6 - 2*m**2 - 6*m. Let l(a) = a - 1. What is -f(u) + 4*l(u)?
-u**2 + 3*u
Let v(r) be the first derivative of r**4/2 + 11*r**2/2 - 3*r + 19. Let x(q) = q. Let d be x(7). Let f(i) = -i**3 - 5*i + 1. Determine d*f(y) + 3*v(y).
-y**3 - 2*y - 2
Let q(n) = -6*n**2 + 3*n + 14. Let j(r) = -r**2 - 18*r - 21. Let h be j(-16). Let l(v) = 2*v**2 - v - 5. Calculate h*l(w) + 4*q(w).
-2*w**2 + w + 1
Let j(v) = 306*v**3 - 24*v**2 - 14*v - 14. Let m(o) = -61*o**3 + 5*o**2 + 3*o + 3. Give 3*j(c) + 14*m(c).
64*c**3 - 2*c**2
Let g(x) = 2*x + 4. Let i(k) = -k. Let v(a) = 3*a + 1. Let m(q) = 2*i(q) + v(q). Calculate -2*g(d) + 6*m(d).
2*d - 2
Let f(z) = -z**3 + 3. Let l(h) = h**3 - h**2 + h - 4. Let w(y) = -4*f(y) - 3*l(y). Let o(m) = 3*m**3 + 8*m**2 - 8*m - 1. What is -3*o(g) + 8*w(g)?
-g**3 + 3
Let g(j) = 4*j**3 + 7*j**2 + j - 1. Let z(s) = 4*s**3 + 6*s**2 + s - 1. Determine 6*g(c) - 7*z(c).
-4*c**3 - c + 1
Let m(w) = -w + 2. Let z(t) = -1. Let p(d) = -d**2 + 2*d + 4. Let r be p(3). Let a = 16 - 16. Suppose -i + 2 - r = a. What is i*m(j) + 4*z(j)?
-j - 2
Let x(v) = v**2 + 4*v + 1. Suppose 0 = -2*r - 4*t - 38, 24 = -3*r + 2*r - 3*t. Let m = r - -7. Let z(p) = p**2 + 5*p + 2. Calculate m*z(f) + 3*x(f).
f**2 + 2*f - 1
Let t(g) = g**3 - g. Suppose 3*k + p - 16 = 0, -5*k + 42 = 5*p + 12. Let r(l) = -l**3 + 3*l. What is k*t(q) + 2*r(q)?
3*q**3 + q
Let q(u) = -u + 1. Let o(n) = 7*n - 4. Let s be 4/8*-1*-10. Calculate s*q(b) + o(b).
2*b + 1
Suppose 2*c = c - x, -21 = -3*c + 4*x. Let o(t) = -t**2 - 2*t - 5. Let s(q) = 2*q**2 + 4*q + 9. Calculate c*s(f) + 5*o(f).
f**2 + 2*f + 2
Let w(x) be the second derivative of -x**3/6 - x. Let k(s) = -s**3 + 0 + 0 - 7*s**2 - 3. Let u be k(-7). Let l(b) = -4*b. Determine u*l(a) + 10*w(a).
2*a
Let w(k) = -k - 1. Let t(y) = -3*y**3 + 6*y + 6. Determine -t(j) - 6*w(j).
3*j**3
Let u(s) = -s**2
|
{
"pile_set_name": "DM Mathematics"
}
|
4*n - b, 105 = 3*n - 0*b - 2*b. Is n composite?
True
Let m(z) = 32*z**2 - z - 4. Let b be m(7). Suppose -b = -4*d + 2*j - 41, 2*d - 758 = -j. Is d a composite number?
False
Suppose -3*j = -6*j + 399. Is j prime?
False
Let u(d) be the first derivative of d**3/3 + 3*d**2/2 + 4*d + 2. Let i be u(-3). Suppose 3*t + c - 31 = 0, 3*t = -t - i*c + 36. Is t a prime number?
True
Let y(h) = 2*h**2 - 3*h - 4*h + 2*h**2. Let g be y(7). Suppose -55 = 4*f - g. Is f prime?
True
Let g(h) = 4*h**2 + 1. Let i be (-13)/(-3) - 2/6. Suppose -3*j - 8 = i. Is g(j) prime?
False
Let r(i) = i**2 + 3*i. Let p be r(-3). Suppose 5*w = -p*w + 745. Suppose w = 4*g - 159. Is g a prime number?
False
Let k be (-5 + -1)*2/(-4). Suppose k*v - 16 = a + 42, -2*a + 74 = 4*v. Is v prime?
True
Let x be 2 + (-1 + 0 - -4). Suppose 0 = 5*k - x*v + 15, -4*k = -2*v + 3 + 7. Is 682/8 + k/8 prime?
False
Suppose 0 = -5*z + z + 380. Suppose 4*r + z = 19. Let k = -10 - r. Is k composite?
True
Let c be 5/((-10)/(-4)) + 1. Suppose 7*r + 2 = c*r - 2*h, 2*r = 2*h - 16. Is -1 - r - 0/(-2) prime?
True
Let g be (1/(-2))/((-1)/12). Suppose g*q - 110 = q + n, 0 = -2*n + 10. Is q prime?
True
Suppose -10*s = 539 - 1989. Is s prime?
False
Let l(i) = -i**3 + 8*i**2 - 6*i. Let b be l(7). Suppose y + b - 132 = 0. Is (y - -2) + (1 - 1) a composite number?
False
Let l(i) be the second derivative of i**5/5 - i**4/6 - i**3/6 - i**2/2 - 2*i. Is l(2) a composite number?
True
Let z = 9 + -6. Let l(x) = x - 2*x + 2*x**2 - x**2 + 1 + 34*x**z. Is l(1) a prime number?
False
Let d be 44/36 - 4/18. Suppose -2*f + 16 = -i, -2 - d = -f + 3*i. Is f a prime number?
False
Let c(d) = -d + 15. Let s be c(9). Let j(g) = -g**3 + 5*g**2 + 8*g - 1. Let q be j(s). Let z = q - -22. Is z a composite number?
True
Let r(o) = -o**2 + 7*o - 4. Let k be r(6). Let h be -3*9/(36/(-8)). Suppose 124 = h*y - k*y. Is y composite?
False
Suppose -5*x + 5*t - 3*t + 9745 = 0, -2*t = 0. Is x a prime number?
True
Let m = -2735 + 6100. Is m prime?
False
Is (1/(-5))/(1/(-3155)) a composite number?
False
Let a(y) = -2*y**3 - 8*y**2 + 12*y - 2. Let v(q) = -q**3 - 9*q**2 + 11*q - 3. Let i(b) = 2*a(b) - 3*v(b). Let z = 2 + 4. Is i(z) prime?
True
Suppose 0 = h + 5*b + 12, 0*b - 6 = -4*h - 2*b. Let g(w) = 7*w**2 + 4*w - 5. Let p be g(5). Suppose v + p = h*v. Is v composite?
True
Let r = 65 - -48. Is r composite?
False
Let i be (-152)/(-6) - (-10)/15. Let m = 85 - i. Suppose 3*o = 5*b + 54, 0 = -5*o - 3*b + b + m. Is o a prime number?
True
Suppose -116 = 3*y - y. Let b = 4 - y. Suppose 0 = -4*u - 0*s + 4*s + 116, 2*u - s = b. Is u a prime number?
False
Suppose -1 = -5*r + 4*r. Is (195/25)/(r/5) a prime number?
False
Suppose 0 = 2*a + 3*v - 800, -6*a = -3*a + 2*v - 1200. Suppose 0 = 3*c + 2*h - a, 2*c = 4*h - 0*h + 272. Is c a prime number?
False
Let l(r) = 6*r**2 - r + 2. Suppose -3*w = 2*w - 40. Let m = -1 - w. Is l(m) prime?
False
Suppose 0 = a + 1 + 4, -2*a = u + 7. Let v = u + 0. Is v prime?
True
Suppose -2*u + 207 = u. Is ((-10)/(-6) + -1)*u prime?
False
Suppose -4*v + 16 = -0*v, v + 3332 = 3*w. Suppose -2*u = -w + 42. Is u a composite number?
True
Let t(g) = -g**3 + 5*g**2 - 4*g - 4. Let z be t(4). Let l = z + 7. Suppose -p + 2*u + 0*u + 8 = 0, -l*p - 3*u = -33. Is p a prime number?
False
Let i = -5 + 3. Is (141*i*1)/(-2) a composite number?
True
Suppose p + g - 137 = 0, 3*g + 31 + 545 = 4*p. Is p prime?
False
Suppose q = -28 + 266. Suppose 3*o - q = o. Is o prime?
False
Let m(c) = 13*c**3 + 29*c**2 + 25*c - 1. Let r(s) = -3*s**3 - 7*s**2 - 6*s. Let w(n) = -2*m(n) - 9*r(n). Let j be w(-4). Is 1/(j/422 + 0) a composite number?
False
Let m(z) = 19*z**2 + 6*z + 36. Let g(o) = 4*o**2 + o + 7. Let x(u) = -11*g(u) + 2*m(u). Let d be x(7). Is 4/10 - d/20 prime?
False
Let f(r) = 10*r**2 - 2*r - 25. Is f(13) composite?
True
Let s be 6/(-4)*-1*38. Suppose 0 = 5*v - 3*h - 14 - 63, -5*v - 2*h = -s. Is v composite?
False
Let k(l) = 0 - l**2 + 2*l**2 + 2. Let u be k(-3). Suppose -3*x - u = 6*c - c, 0 = x + 5*c + 17. Is x a prime number?
True
Let j(u) = -u + 443. Is j(0) a prime number?
True
Is 4*(-4)/8 + 124 a composite number?
True
Let c = -285 + 442. Is c a composite number?
False
Suppose 0*z = -3*f - 3*z - 120, 8 = -2*z. Suppose -140 = -2*u - 0*u. Let k = u + f. Is k composite?
True
Suppose -2 - 3 = -5*r. Let i(l) be the first derivative of 52*l**3 - l + 8. Is i(r) a composite number?
True
Let g(d) = 3*d + 4. Let c be (-1)/(1/8) + 0. Let r(k) = k**2 + 7*k - 2. Let u be r(c). Is g(u) composite?
True
Suppose 0 = -0*t + 2*t - 3014. Is t prime?
False
Is 833 - (-2*3)/(-3) a composite number?
True
Let w(x) = 66*x**3 - 4*x**2 - 2*x - 2. Let i be w(-3). Let l = i - -989. Is (2/3)/((-10)/l) composite?
True
Suppose 0 = 9*n + n - 6530. Is n composite?
False
Let t = 173 - -78. Is t prime?
True
Is (76/(-5))/((-26)/65) prime?
False
Suppose 2*s - n = 812 + 1202, 5*s - 5*n = 5025. Is s prime?
True
Suppose 7 = t + 4*y, -y + 0*y - 5 = -2*t. Suppose -140 = -t*h + 1753. Is h prime?
True
Let z(v) = -v**3 - 2*v**2 + 4*v + 3. Let c be z(-3). Is c + 3/((-6)/(-52)) prime?
False
Let l(u) = -u + 4. Let d(a) = a - 1. Let v(q) = 6*q - 4. Let k(n) = 5*d(n) - v(n). Let p(h) = 3*k(h) - l(h). Is p(-5) prime?
True
Suppose 0*r - 8 = -4*r, -s = 3*r - 27. Suppose 5*u - 51 = -s. Let d = 12 - u. Is d a prime number?
False
Let z be (-226)/7 - (-8)/28. Let q be 1 - (z + 0 + -1). Let c = 60 - q. Is c a prime number?
False
Let k = 14 - 7. Let f = -4 + k. Is (0 + f/6)*74 prime?
True
Suppose 3*o + 33 - 6 = 0. Let i = 25 - o. Is i composite?
True
Let m(j) = 7*j**3 - 6*j**2 - 4*j + 3. Let a(s) = -s**3 + s**2 + s - 1. Let x(w) = 6*a(w) + m(w). Let i be x(2). Suppose i + 110 = g. Is g composite?
True
Suppose 2361 = 5*s - 2*s. Is s prime?
True
Let u(o) = -o - 13. Let z be u(-9). Is -3 - z - (1 + -43) a prime number?
True
Suppose -3*r = 2*r - 845. Is r a composite number?
True
Let f(s) be the first derivative of 4*s**3/3 + 3*s + 7. Is f(-4) composite?
False
Is (-21)/2*246/(-9) composite?
True
Let l(c) = -103*c + 1. Let p be l(-9). Let i = -582 + p. Is i a prime number?
False
Let h(p) = 3*p**2 + 3*p. Let d be h(-2). Let g(q) = 6*q**2 + 1 - 6*q**2 + q + 6*q**2 - 4*q**2. Is g(d) a composite number?
False
Let c be (-1 - -31)*(-13 + 15). Let h = 113 - c. Is h composite?
False
Suppose l = -5*k - 661, 3*k - 2*l + 627 - 220 = 0. Let n = 192 + k. Is n a prime number?
True
Let q = 1291 + -402. Is q a prime number?
False
Let x = 10 - 7. Suppose -5*g = -3*d - 1792, 3*d = -x*g + 432 + 648. Is g composite?
False
Is 670/2 - (13 - 9) composite?
False
Let g be (-3)/5 + (-987)/5. Let r = 475 - g. Is r prime?
True
Suppose 0 = 3*z + 2*z - 75. Is z a prime number?
False
Suppose u - 5 = -2. Let f(h) = 4 + 2 - 2 + 11*h. Is f(u) a composite number?
False
Suppose -12 = -5*p + 2*p. Suppose r = p*r - 381. Is r composite?
False
Suppose -2*f - 2*f + 3*b = -156, 5*f = -3*b + 222. Let m = 363 - f. Let v = m - -46. Is v a prime number?
True
Let b be -1 + 8/1 - 1. Suppose -b*v + 24 = -2*v. Suppose -33 = -3*d + 3*j, -d + j - 19 = v*j. Is d prime?
False
Let b = -9 + 14. Suppose -b*x + 60 = 5*g, g + x - 9 = -3*x. Is g prime?
True
Suppose -206 = -f + 175. Is f prime?
False
Is (2/3)/((4/(-4629))/(-2)) a prime number?
True
Let b(j) = -4*j**2 - 2 + 3*j + 2*j**2 + 3*j**2. Let h be b(-3). Is 32 + (-3 - h - -2) composite?
True
Let k = -18 - -30. Suppose -4*j = -2*j - k. Is j prime?
False
Suppose -86 = -4*f + 98. Is f prime?
False
Let r = -26 - -211. Is r a prime number?
False
Is (3 - 1072/12)/((-2)/6) a composite number?
True
Let m = 615 + -322. Is m prime?
True
Let i(z) = -z**2 + 5. Let r be i(0). Suppose f + 33 = 2*p, r*p = -4*f - 62 - 18. Let m = f + 72. Is m a prime number?
True
Let i(w) = 19*w - 13. Is i(8) prime?
True
Let p(n) = 58*n**2 + 6*n + 3. Is p(3) composite?
True
Suppose 3*h - 4*h = -1067. Is h composite?
True
Let i = 53 + -32. Is i a composite number?
True
Let s(y) = 4*y**3 + 1. Let q be (-2)/(-7) + (-15)/(-21). Let c be s(q). Suppose 0 = -f + c*f - 60. Is f composite?
True
Suppose 0 = 5*v + g - 633, -3*v + 2*g = g - 383. Is v a prime number?
True
Let t(g) = 3*g**2 + 3*g + 5. Let n be 4/12 - (-16)/(-3). Is t(n) a composite number?
True
Suppose h - 221 = p + 227, -5*p - 15 = 0. Is h composite?
True
Suppose -2*t = s + 3*t - 15, -2*s = -5*t
|
{
"pile_set_name": "DM Mathematics"
}
|
i**2. Determine v(z(g)).
-2*g**2 - 32
Let t(d) be the third derivative of d**6/120 - 5*d**3/2 + d**2 - 2. Let i(l) be the first derivative of t(l). Let c(w) = 4*w**2. What is c(i(f))?
36*f**4
Let c(g) be the second derivative of -g**4/3 + 5325*g. Let k(i) = 728*i. What is c(k(q))?
-2119936*q**2
Let y(f) = -10*f - 133. Let a(l) = -3*l - 38. Let w(g) = 14*a(g) - 4*y(g). Let b(r) = 1479*r. Determine w(b(i)).
-2958*i
Let t(g) = 1449*g**2 - 11*g - 2. Let b(h) = 5*h**2. Give t(b(w)).
36225*w**4 - 55*w**2 - 2
Let n(u) = -208*u**2. Let z(s) = -162 + 58 + 2*s + 104. What is z(n(h))?
-416*h**2
Let c(y) = -11*y**2. Let z(i) = 20395530*i. What is z(c(s))?
-224350830*s**2
Let j(g) = -652 - 3*g**2 + 4*g**2 + 330 + 322. Let a(r) = 7545*r. Determine j(a(c)).
56927025*c**2
Let l(i) = 5*i - 2. Let x(g) = 14*g - 6. Let z(a) = -11*l(a) + 4*x(a). Let w(u) = 2*u - 8. Let b(k) = -w(k) + 4*z(k). Let o(d) = d + 83. Determine o(b(j)).
2*j + 83
Let p(b) = -b**2 - 20. Let v(n) be the first derivative of n**4/6 - 9*n + 99. Let k(w) be the first derivative of v(w). Determine k(p(c)).
2*c**4 + 80*c**2 + 800
Suppose 0 + 100 = 5*m. Suppose 0 = -4*o + 14*o - m. Let h(u) = 305*u + u**o - 305*u. Let j(p) = 16*p**2. Give j(h(b)).
16*b**4
Let f(c) = 24*c**2 + 98*c + 10. Let h(p) = 28*p**2 + 99*p + 12. Let m(q) = -6*f(q) + 5*h(q). Let a(b) = 2*b**2 + 0*b**2 - 4*b**2. What is m(a(l))?
-16*l**4 + 186*l**2
Let h(y) = 22369 + 2*y**2 - 12*y - 22369 - 8*y. Let l(i) be the second derivative of -i**3/6 - 15*i. Determine h(l(c)).
2*c**2 + 20*c
Let r(d) = -2*d. Let v(q) = -433894*q**2 + 6. What is v(r(y))?
-1735576*y**2 + 6
Let t(z) = -3*z. Let s(a) = 4 + 18650*a**2 - 19230*a**2 - 5 + 0. What is t(s(q))?
1740*q**2 + 3
Let p be (-4)/(-1) - 6/3. Let w(j) = -5 + 3*j**2 + 5 - 14*j**p. Let o(m) be the third derivative of -m**5/30 - 28*m**2 + 6. Calculate w(o(x)).
-44*x**4
Let w(i) = -156*i**2. Let g(n) = -6*n**2 + 17*n + 17. Let m(v) = v**2 - 3*v - 3. Suppose 9*a + 13 + 293 = 0. Let y(t) = a*m(t) - 6*g(t). What is w(y(r))?
-624*r**4
Let x(z) be the third derivative of -11*z**5/60 - 11*z**2 - 9*z + 5. Let b(p) = -808*p. Calculate x(b(g)).
-7181504*g**2
Let a(k) = -696*k. Let t(v) = 1720*v**2. Determine t(a(b)).
833195520*b**2
Let v(d) = 6*d - 149. Let a be v(28). Let u(x) = 2*x + 11 - a + 8 + 0. Let w(t) = 25*t. Calculate u(w(o)).
50*o
Let q(z) = -z. Let r(g) = 2888*g - 1729. Let y(a) = -109*a + 65. Let h(w) = -5*r(w) - 133*y(w). Determine h(q(o)).
-57*o
Let b(g) be the third derivative of -29*g**5/60 + g**4/12 + 29*g**3/6 + 30*g**2. Let k(q) be the first derivative of b(q). Let i(l) = 2*l. Give i(k(h)).
-116*h + 4
Let t(l) be the third derivative of -5*l**5/6 + l**3/2 - 4*l**2 - 82*l. Let h(n) = -20*n**2. Calculate h(t(k)).
-50000*k**4 + 6000*k**2 - 180
Let x(n) = 18630853*n - 18630853*n - 7*n**2. Let o(r) = 457*r**2. Determine x(o(q)).
-1461943*q**4
Let p(o) = 1446563*o**2. Let i(x) = -4*x. Give i(p(f)).
-5786252*f**2
Let t(n) = -30*n. Suppose 10 = -6*v + 28. Suppose -77 = -3*u + 5*d, -3*d = 15 - v. Let f(k) = -58*k + 21*k + u*k + 16*k. Determine t(f(c)).
60*c
Let h(f) be the third derivative of -3*f**4/8 + 49*f**2. Let g(b) = 4*b**2 - 2*b. Let q(v) = v**2 - v. Let d(p) = g(p) - 2*q(p). Give d(h(n)).
162*n**2
Let v(z) = -2*z**2 + 227*z - 4. Let t(p) be the third derivative of -p**4/12 - 2*p**2 + 788. What is v(t(f))?
-8*f**2 - 454*f - 4
Let m(a) = 3646*a - 22. Let b(r) = 3657*r - 33. Let y(q) = -2*b(q) + 3*m(q). Let w(t) = -2*t. What is y(w(p))?
-7248*p
Let w(f) = -2*f**2 + 42*f - 3. Let q(b) = -4*b**2 + 70*b - 5. Let z(k) = -3*q(k) + 5*w(k). Let x(d) be the first derivative of 14*d**2 - 4. Give x(z(t)).
56*t**2
Let r(b) be the first derivative of 1/2*b**2 + 0*b - 55. Let g(a) = -3*a + 2. What is r(g(i))?
-3*i + 2
Let u(w) = 140*w**2 + 12. Let b(f) = -15*f**2 - 2 - 2*f**2 + 16*f**2. Let y(m) = -6*b(m) - u(m). Let h(o) = o. What is h(y(t))?
-134*t**2
Let h(j) = 4*j + 9*j - 3*j. Let q(p) be the first derivative of p**3/6 + 22*p + 31. Let z(i) be the first derivative of q(i). Determine h(z(u)).
10*u
Let i(c) = -145*c**2. Let r(q) = 3*q**2 - 72283*q. Give r(i(v)).
63075*v**4 + 10481035*v**2
Let b(d) be the second derivative of -19*d**4/12 - 40*d - 8. Let h(a) = -34*a**2 + 0*a**2 + 16*a**2. What is b(h(k))?
-6156*k**4
Let h(d) = -34*d - 440. Let x be h(-41). Let n(g) = 1 + 5 - x*g + 957*g. Let k(i) = -3*i. Determine n(k(q)).
-9*q + 6
Let f(s) = 7556*s**2. Let p(a) = 1518*a**2. What is f(p(y))?
17411472144*y**4
Let p(n) be the second derivative of n**4/4 + n**3/6 - 2*n**2 - 58*n. Let u(t) be the first derivative of p(t). Let z(i) = i. Give u(z(q)).
6*q + 1
Let v(t) = -18*t. Let z(l) be the first derivative of l**5/30 - 2*l**3/3 - 14*l + 17. Let i(p) be the third derivative of z(p). Give v(i(j)).
-72*j
Let p(h) = 95197901*h. Let q(s) = 13*s. Calculate q(p(o)).
1237572713*o
Let h(z) = -352*z**2 - z + 3. Let b(m) = -343*m**2. Determine h(b(r)).
-41412448*r**4 + 343*r**2 + 3
Let n(p) be the first derivative of -2*p**3/3 + 3*p**2/2 + 8100. Let t(l) = 191*l. What is n(t(u))?
-72962*u**2 + 573*u
Let g(v) be the second derivative of 63*v**3/2 + 3*v**2 + 25*v + 6. Let a(i) = 5*i - 1. Let w(j) = 6*a(j) + g(j). Let u(r) = 2*r. Give u(w(p)).
438*p
Let s(z) = 34*z**2 + 154*z + 14. Let h(i) = 12*i**2 + 55*i + 5. Let q(b) = 14*h(b) - 5*s(b). Let l(u) = -73*u**2 - u. Give l(q(x)).
-292*x**4 + 2*x**2
Let d(n) = 50*n - 1. Let y(c) = -145*c + 2. Let h(p) = 8*d(p) + 3*y(p). Let w(q) = -75*q - 5. Let m(s) = 5*h(s) - 2*w(s). Let a(u) = 5*u. Calculate m(a(j)).
-125*j
Let w(m) = m + 2*m - 3232 + 1616 + 1660. Let b(x) be the first derivative of x**2 - 22. Determine w(b(o)).
6*o + 44
Let u(k) = 17*k. Let z = 368 + -377. Let r(g) = -37*g. Let a(x) = z*u(x) - 4*r(x). Let n(y) = 15*y**2. Give a(n(j)).
-75*j**2
Let z(g) = -297 + 595 - 298 - 2*g**2. Let a = 10 - 8. Let l(i) = 2*i - 32*i**a - 3*i + i. What is l(z(b))?
-128*b**4
Let x(o) = -2*o. Let c(y) = 2*y + 117425272. Determine x(c(l)).
-4*l - 234850544
Let t(u) = -10 + 19 - 18*u + 2 - 11. Let y(o) = -3*o**2 - 28*o. Determine t(y(r)).
54*r**2 + 504*r
Let f(x) be the first derivative of -10*x**2 + 5*x - 2. Let p(o) = -10*o + 2. Let h = -21 - -16. Let u(w) = h*p(w) + 2*f(w). Let t(s) = -6*s**2. Give t(u(c)).
-600*c**2
Let u(h) = 40*h + 1. Let p be (8/20)/(12/150). Let j(n) = -3*n - p*n + 11*n. Determine j(u(g)).
120*g + 3
Let a(x) = -102*x**2 + 6*x + 1847. Let p(b) = 17*b. Calculate p(a(v)).
-1734*v**2 + 102*v + 31399
Let h(q) = -3*q**2. Suppose -r - 5*r = -1062. Let p = r - 79. Let b(s) = 9*s**2 + p*s - 98*s. Determine h(b(g)).
-243*g**4
Let l(c) = -48*c**2. Let v(o) = 134*o - 55. Let y(s) = 38*s - 18. Let u(a) = -2*v(a) + 7*y(a). What is u(l(h))?
96*h**2 - 16
Let b(a) = 166059*a**2. Let o(v) = -510*v. What is o(b(n))?
-84690090*n**2
Let y(p) = 51288553*p**2. Let v(m) = 2*m**2. Give v(y(j)).
5261031337667618*j**4
Let h(w) = -8276*w + 4124*w + 4153*w. Let j(d) = 555*d. Give h(j(q)).
555*q
Let j(q) = 13175*q**2. Let p(o) = 271*o**2. Give j(p(u)).
967585175*u**4
Let x(y) = -3*y. Let l(b) = 5573875*b**2 + b - 2. What is l(x(p))?
50164875*p**2 - 3*p - 2
Let d(w) = -39922*w**2 + 58. Let i(l) = -5*l**2. What is d(i(f))?
-998050*f**4 + 58
Let y(m) = -17*m. Let f(j) = -4*j + 4*j + 0*j - 4*j. Suppose -121*b + 45 = -116*b. Let g(x) = b*f(x) - 2*y(x). Let o(n) = -n. Give o(g(q)).
2*q
Let y(a) = 61*a**2 + 108*a**2 + 0 - 48*a**2 + 0 - a. Let o(b) = 8*b. What is o(y(g))?
968*g**2 - 8*g
Let y(g) = 9*g. Let c(f) = f - 344. Let o(z) = -104. Let s(p) = -2*c(p) + 5*o(p). What is y(s(j))?
-18*j + 1512
Let i(b) = 6*b**2. Let h(g) = 41339*g**2 - 251. Calculate h(i(u)).
1488204*u**4 - 251
Let x(m) = 1069412*m. Let v(g) = -2*g**2. Calculate x(v(s)).
-2138824*s**2
Let k(x) = -2302*x + 2*x**2 - 2304*x + 4590*x + 2. Let a(v) = -2*v. What is a(k(j))?
-4*j**2 + 32*j - 4
Let c(d) be the second derivative of 10*d**4/3 + d**3/6 + 3*d. Let p(u) be the first derivative of u**2 + 145. Calculate p(c(r)).
80*r**2 + 2*r
Let d(g) = -6*g**2. Let z(v) be the second derivative of -2*v**4/3 - v**3/6 - 7*v + 75. Calculate z(d(x)).
-288*x**4 + 6*x**2
Let g(i) = -i. Let z = -23 - -34. Suppose -26*c + 38*c = 24. Let y(p) = z - c*p + p - 11. Calculate g(y(w)).
w
Let d(j) = 47008*j. Let k(b) = 104*b**2. Calculate k(d(u)).
2
|
{
"pile_set_name": "DM Mathematics"
}
|
+ (3 + sqrt(17))*-6))**2.
720*sqrt(17) + 2996
Simplify ((sqrt(14) + sqrt(28)/sqrt(98))/(sqrt(2) + (sqrt(16)/sqrt(2))/sqrt(4)))**2.
16/7
Simplify -1 + sqrt(11) + sqrt(539)*2.
-1 + 15*sqrt(11)
Simplify ((sqrt(441)/sqrt(7)*-3)/sqrt(9))**2*2.
126
Simplify 3*(-2*sqrt(1331))**2*-5.
-79860
Simplify sqrt(539)*2 + 3.
3 + 14*sqrt(11)
Simplify (sqrt(27)/(-2*sqrt(1089)))**2.
3/484
Simplify (sqrt(98) + (sqrt(98) - 1*sqrt(98)) + sqrt(2) + 4 + 0)**2.
64*sqrt(2) + 144
Simplify sqrt(1575)*-6 + -5.
-90*sqrt(7) - 5
Simplify ((sqrt(77) - 1*sqrt(77))*5)/sqrt(1584).
0
Simplify 5*(sqrt(245) + -2 + sqrt(245)).
-10 + 70*sqrt(5)
Simplify (-1*(sqrt(209) - (sqrt(209) + -1*sqrt(209) + sqrt(209))))/(sqrt(11) - ((sqrt(704) - (-2*sqrt(704) + sqrt(704))) + sqrt(704) + sqrt(704) - sqrt(11))).
0
Simplify (sqrt(70)/sqrt(250) - (-5*(sqrt(7) - (sqrt(7) - sqrt(14)/sqrt(2))) + sqrt(7)))**2.
3087/25
Simplify (1*sqrt(2793))/(6*sqrt(48)).
7*sqrt(19)/24
Simplify ((-2*sqrt(260) - sqrt(260))/sqrt(10))/sqrt(2).
-3*sqrt(13)
Simplify 3 + (3*sqrt(77)*1)/(sqrt(28)/sqrt(16)).
3 + 6*sqrt(11)
Simplify sqrt(60)/(sqrt(48)/sqrt(4)) - (sqrt(55)/sqrt(275))**2.
-1/5 + sqrt(5)
Simplify ((4 + sqrt(52) + 2)*6)**2.
864*sqrt(13) + 3168
Simplify (((sqrt(108) + (sqrt(108) - -2*sqrt(108)) - sqrt(108))/sqrt(6))/(sqrt(36)/sqrt(96)))**2.
432
Simplify -2*2*sqrt(7)*3.
-12*sqrt(7)
Simplify 3*sqrt(208) - (sqrt(52) + -2 + 5).
-3 + 10*sqrt(13)
Simplify -2 + -5 + sqrt(68)/sqrt(4).
-7 + sqrt(17)
Simplify (1*(1 + 1*sqrt(243) + sqrt(243)))**2.
36*sqrt(3) + 973
Simplify (sqrt(2057) + (sqrt(2057) - (sqrt(2057) - (sqrt(2057) + -1)) - sqrt(2057))*-2)**2.
44*sqrt(17) + 2061
Simplify sqrt(175) + 2*sqrt(175)*-6 + sqrt(175) - (-3 + (sqrt(175) - (-1 + sqrt(175)))**2).
-50*sqrt(7) + 2
Simplify sqrt(28)/(sqrt(324) + (sqrt(324) - (sqrt(324) + sqrt(324)*-2))).
sqrt(7)/27
Simplify -2*(sqrt(7) + sqrt(252)/sqrt(4) + ((-2*sqrt(77) + sqrt(77))/sqrt(11))**2).
-8*sqrt(7) - 14
Simplify sqrt(24)/(2*sqrt(972))*-5.
-5*sqrt(2)/18
Simplify ((sqrt(612) - (sqrt(612) + -2))*2)**2.
16
Simplify -3 + sqrt(35)/sqrt(5) + sqrt(7) - (sqrt(56)/sqrt(2))/sqrt(4).
-3 + sqrt(7)
Simplify (6*sqrt(50)*3)**2.
16200
Simplify 4*(sqrt(3) + (sqrt(3) + sqrt(192))**2) + 5.
4*sqrt(3) + 977
Simplify (-1*sqrt(726))/(1*sqrt(4)/sqrt(2)).
-11*sqrt(3)
Simplify (sqrt(88)/(-2*sqrt(1152)))**2 + 3.
1739/576
Simplify 4 + (sqrt(192) - (-1 + sqrt(192) + sqrt(192))*-3) + -2.
-1 + 56*sqrt(3)
Simplify (sqrt(72)/sqrt(18))/(sqrt(84)/(sqrt(7)*2)).
2*sqrt(3)/3
Simplify ((sqrt(100)/sqrt(5))**2 - sqrt(5))*4.
-4*sqrt(5) + 80
Simplify (sqrt(91)*4)/sqrt(7)*-3.
-12*sqrt(13)
Simplify (sqrt(42)*-1*-1)/(sqrt(192)/sqrt(8)).
sqrt(7)/2
Simplify ((5 + sqrt(3))**2 + 2)*-4.
-120 - 40*sqrt(3)
Simplify -2 + sqrt(475) - (-2 + sqrt(2299))**2.
-2305 + 49*sqrt(19)
Simplify -1 + (sqrt(76)/sqrt(64) + ((1 + sqrt(19) - sqrt(19))*-5 - sqrt(19)))**2.
15*sqrt(19)/2 + 555/16
Simplify (sqrt(24) + (-2*sqrt(192) - sqrt(192))/sqrt(8))/(sqrt(64)/(1*sqrt(8))).
-2*sqrt(3)
Simplify 5 + sqrt(19)*1 - (-1*sqrt(304))**2.
-299 + sqrt(19)
Simplify ((((sqrt(13) + sqrt(26)/sqrt(2) - sqrt(13) - sqrt(13)) + sqrt(13) + sqrt(13))*1 - (sqrt(13) + 0 + sqrt(13))*1)*-1)**2.
0
Simplify (-2*sqrt(200) + 5 - sqrt(200) - sqrt(200))**2.
-400*sqrt(2) + 3225
Simplify ((sqrt(204) - 1*(sqrt(204) + 1*sqrt(204) - sqrt(204)))/(sqrt(12) - sqrt(24)/sqrt(2)*6))**2.
0
Simplify ((sqrt(11) + sqrt(11) + sqrt(539) - sqrt(11))*5 + sqrt(11))**2*-5 + -1.
-92456
Simplify sqrt(7) + sqrt(7) + -1 + 0 + 5.
4 + 2*sqrt(7)
Simplify 2 + sqrt(180)*-2 - (0 + sqrt(180) + -1).
-18*sqrt(5) + 3
Simplify -3*(3 + sqrt(396) + 0 + sqrt(396)).
-36*sqrt(11) - 9
Simplify (1*sqrt(480))/(sqrt(60)/(sqrt(30)/sqrt(3))).
4*sqrt(5)
Simplify ((2 + sqrt(3))**2 + 5)*5.
20*sqrt(3) + 60
Simplify (-3*(sqrt(162) + (sqrt(162) - (-1 + sqrt(162)))))**2.
162*sqrt(2) + 1467
Simplify (sqrt(95) + 2*sqrt(95)*-6)/(-2*sqrt(720)).
11*sqrt(19)/24
Simplify sqrt(85)/(sqrt(125)*1).
sqrt(17)/5
Simplify ((sqrt(51)/sqrt(3)*-4 - 1*sqrt(2448))*6)**2.
156672
Simplify sqrt(12) + sqrt(12) + (sqrt(12) - (sqrt(12) + sqrt(12) + (-1*sqrt(108))/sqrt(9))).
4*sqrt(3)
Simplify ((sqrt(70) - (sqrt(70) - ((sqrt(70) - 3*sqrt(70) - sqrt(70)) + sqrt(70))))/sqrt(10) + (sqrt(28)*2 - sqrt(7)))**2.
7
Simplify -5*(sqrt(77) + sqrt(77) + -2*sqrt(77) + sqrt(77))/sqrt(11).
-5*sqrt(7)
Simplify 4*(-5*sqrt(5)*-2 - sqrt(5)).
36*sqrt(5)
Simplify (-2 + 3 + -2*sqrt(13) + -5)**2.
16*sqrt(13) + 68
Simplify 0 + 6*2*sqrt(208) + 4.
4 + 48*sqrt(13)
Simplify -2*sqrt(27)*2 + 4.
-12*sqrt(3) + 4
Simplify (sqrt(153)*-2 - sqrt(153))/sqrt(9) - (5 + sqrt(17)*1).
-4*sqrt(17) - 5
Simplify sqrt(96)/sqrt(3)*-1.
-4*sqrt(2)
Simplify (sqrt(13)*-2 + 4 - (sqrt(13) + sqrt(208)*2))**2.
-88*sqrt(13) + 1589
Simplify 5*(3 + (4 + sqrt(288) - sqrt(288))).
35
Simplify sqrt(6)/sqrt(2)*-3*-5.
15*sqrt(3)
Simplify 4 + (-1 + sqrt(28) + 2)**2*3.
12*sqrt(7) + 91
Simplify 5*((-1 + sqrt(17))*-1 - (3*sqrt(68))/sqrt(4)).
-20*sqrt(17) + 5
Simplify (sqrt(960)*-1)/(sqrt(3) - -1*sqrt(432)).
-8*sqrt(5)/13
Simplify 1 + (sqrt(1300)*2 - sqrt(1300))**2 + 1 + sqrt(468).
6*sqrt(13) + 1302
Simplify (-1*sqrt(975))/(sqrt(3) - -4*(sqrt(3) - ((sqrt(3)*-1 - sqrt(3)) + sqrt(3)))).
-5*sqrt(13)/9
Simplify -1 + (sqrt(1053)*-2 - sqrt(13))**2*1*-6.
-28159
Simplify 0 + sqrt(12)/((sqrt(60)/sqrt(5))/sqrt(2)).
sqrt(2)
Simplify -2 + (sqrt(5) - (sqrt(405) + -2) - sqrt(5)).
-9*sqrt(5)
Simplify (-5*(-3 + sqrt(50)) + 2)**2.
-850*sqrt(2) + 1539
Simplify (sqrt(136)*3*6)/sqrt(8).
18*sqrt(17)
Simplify ((sqrt(99) + 0 + -5)*2)**2.
-120*sqrt(11) + 496
Simplify 2*(5*sqrt(26)/sqrt(2) + (4 + 0 + sqrt(13))**2).
58 + 26*sqrt(13)
Simplify -5*((sqrt(81)/sqrt(3))/sqrt(9))**2.
-15
Simplify ((sqrt(432) + -1)*5 - (sqrt(432) - (sqrt(432) + sqrt(432) + (sqrt(432)*-3 - sqrt(432)) + 5)))**2.
1728
Simplify 6*(1 + sqrt(612)).
6 + 36*sqrt(17)
Simplify -5*(1*sqrt(128) + sqrt(128)) + -2.
-80*sqrt(2) - 2
Simplify sqrt(19)*-2*5 + 0 + sqrt(475).
-5*sqrt(19)
Simplify (-1 + -3 + -1*sqrt(720))*-1.
4 + 12*sqrt(5)
Simplify sqrt(228)/sqrt(192)*-3.
-3*sqrt(19)/4
Simplify 2*sqrt(50)/(sqrt(120)/(sqrt(96)/sqrt(8))).
2*sqrt(5)
Simplify -2*sqrt(17) + -5 - (-3*sqrt(1700))**2.
-15305 - 2*sqrt(17)
Simplify ((sqrt(567) - (-3 + sqrt(567) + -2)) + 3 + sqrt(567) + sqrt(567) + -2 + sqrt(567))**2.
324*sqrt(7) + 5139
Simplify (sqrt(6)/sqrt(27) + 1)**2.
2*sqrt(2)/3 + 11/9
Simplify (0 + ((sqrt(45)/sqrt(5))/sqrt(3))**2)*3.
9
Simplify -5 + sqrt(45) - -4*sqrt(20)/sqrt(4).
-5 + 7*sqrt(5)
Simplify (2*sqrt(72))**2.
288
Simplify -3 + (sqrt(630)/sqrt(160) - sqrt(63))/sqrt(9).
-3 - 3*sqrt(7)/4
Simplify (4*(sqrt(605)*-1 + -5 - sqrt(605)))**2.
3520*sqrt(5) + 39120
Simplify -2 + sqrt(6)/(sqrt(6)/sqrt(2)).
-2 + sqrt(2)
Simplify (-5 + sqrt(21)/sqrt(3)*2)**2.
-20*sqrt(7) + 53
Simplify 0 + sqrt(17) + ((sqrt(187)*1 - sqrt(187) - sqrt(187)) + sqrt(187))/sqrt(11).
sqrt(17)
Simplify (-1*1*sqrt(363) - 2*(sqrt(363) + (sqrt(363) + 0 - sqrt(363))))**2.
3267
Simplify (sqrt(72)/(sqrt(8)/sqrt(2)) - (sqrt(180)*-2)/sqrt(10))**2.
162
Simplify (((sqrt(120)*-2)/sqrt(5))/(sqrt(12)*2*1))**2.
2
Simplify 2 + sqrt(252) - (sqrt(252)*3 - sqrt(7)).
-11*sqrt(7) + 2
Simplify (sqrt(36)/(sqrt(81) - sqrt(9)))/(-2*-1*sqrt(2) + sqrt(2)).
sqrt(2)/6
Simplify (-2*sqrt(832) + sqrt(832) + -5 - sqrt(832) - sqrt(832)) + (-2 + (sqrt(832) - (sqrt(832) + (2*sqrt(832))**2 + sqrt(832))) - sqrt(832)).
-3335 - 40*sqrt(13)
Simplify (sqrt(55)/(sqrt(11)*-4) + sqrt(20)/sqrt(4)*1 + sqrt(5))**2.
245/16
Simplify -1*(sqrt(30)/(sqrt(360) + sqrt(10)) + sqrt(3)).
-8*sqrt(3)/7
Simplify (1*(sqrt(20)*-3 - sqrt(20)))/(sqrt(50)/(-1*sqrt(5))).
4*sqrt(2)
Simplify (sqrt(11) + sqrt(176) + 1 + sqrt(704)/sqrt(4))**2.
18*sqrt(11) + 892
Simplify (4*sqrt(352)/sqrt(8))**2.
704
Simplify (4*(sqrt(18)*-4 + sqrt(2)*-1*2))**2.
6272
Simplify 5*(2*2*sqrt(1539))**2.
123120
Simplify ((sqrt(140)/sqrt(4))/sqrt(5) - sqrt(56)/sqrt(2))**2 + 1 + sqrt(7) + -1 + (sqrt(112))**2.
sqrt(7) + 119
Simplify (-2 + (sqrt(252) - -6*(sqrt(252) + 1 + sqrt(252))**2) + sqrt(252))*4.
624*sqrt(7) + 24208
Simplify 1 + sqrt(2) + sqrt(8)/(sqrt(16)/sqrt(4)) + -5.
-4 + 2*sqrt(2)
Simplify (sqrt(88) + (sqrt(88) - sqrt(88)*1*2))/(sqrt(8)*2*-2).
0
Simplify ((sqrt(11) + 1 + sqrt(539))**2 + sqrt(121)/(sqrt(44)/sqrt(4)))*-2.
-1410 - 34*sqrt(11)
Simplify ((sqrt(175) - (-2 + sqrt(175) + -1 + sqrt(175) + sqr
|
{
"pile_set_name": "DM Mathematics"
}
|
arest integer?
-57
What is -11.38093304 rounded to two decimal places?
-11.38
Round -0.0004964650093 to six dps.
-0.000496
What is 155.105305 rounded to the nearest integer?
155
What is -592.375323 rounded to the nearest one hundred?
-600
Round -0.0493205306 to five dps.
-0.04932
What is 0.13220437341 rounded to four decimal places?
0.1322
Round -33.9111179 to 2 dps.
-33.91
What is 49941.88482 rounded to the nearest ten?
49940
What is 8.84736767 rounded to three dps?
8.847
What is 15901258.86 rounded to the nearest one hundred?
15901300
What is -7.062170134 rounded to 0 dps?
-7
What is -7330123.2 rounded to the nearest 1000?
-7330000
Round 5.37915554 to 1 decimal place.
5.4
What is -11758500.8 rounded to the nearest one million?
-12000000
What is -6511368.91 rounded to the nearest one million?
-7000000
Round -0.002270162153 to four decimal places.
-0.0023
Round -66.214066 to the nearest 10.
-70
Round 0.000040699575 to six decimal places.
0.000041
What is -1637.22911 rounded to 1 decimal place?
-1637.2
What is 0.0048610839 rounded to 3 decimal places?
0.005
What is 50.9865241 rounded to 2 dps?
50.99
Round -0.000152767069 to 6 dps.
-0.000153
Round -1.45270487 to zero decimal places.
-1
Round -17272.2861 to the nearest 1000.
-17000
Round 910.77444 to the nearest one hundred.
900
Round 0.5966742 to two decimal places.
0.6
Round 324.041984 to the nearest ten.
320
What is -7.60906511 rounded to 3 decimal places?
-7.609
Round 30133157.3 to the nearest one hundred thousand.
30100000
What is -1696.7563 rounded to the nearest ten?
-1700
Round -0.000124711344 to four dps.
-0.0001
What is 0.0000117390134 rounded to six dps?
0.000012
Round -40856255.2 to the nearest 10000.
-40860000
Round -115634.15 to the nearest one thousand.
-116000
What is -910426.45 rounded to the nearest ten thousand?
-910000
Round 132822604 to the nearest one hundred thousand.
132800000
Round 2135138.21 to the nearest 100000.
2100000
Round 0.475678325 to one decimal place.
0.5
What is -20391918.1 rounded to the nearest ten thousand?
-20390000
What is 9988243.147 rounded to the nearest one million?
10000000
What is -208.290321 rounded to the nearest 10?
-210
What is 771327.801 rounded to the nearest one thousand?
771000
Round 0.000001073670687 to seven decimal places.
0.0000011
What is -61947.5359 rounded to the nearest ten thousand?
-60000
Round 0.00025262234 to 4 dps.
0.0003
What is 4028.17178 rounded to 1 decimal place?
4028.2
What is 0.0002251802611 rounded to 6 decimal places?
0.000225
Round 18831221.07 to the nearest one hundred thousand.
18800000
Round -1182.405755 to the nearest 10.
-1180
Round 39.6328657 to 2 dps.
39.63
What is 22982.673 rounded to the nearest 10?
22980
What is -0.00076599344 rounded to five dps?
-0.00077
What is 1033701.6143 rounded to the nearest ten thousand?
1030000
What is -0.00049188866 rounded to five dps?
-0.00049
Round 21.360537 to the nearest integer.
21
What is -85751.366 rounded to the nearest 1000?
-86000
What is -766119.7767 rounded to the nearest one thousand?
-766000
Round -0.000000418838102 to seven dps.
-0.0000004
Round -588047.387 to the nearest one hundred thousand.
-600000
What is -5.100677402 rounded to 1 decimal place?
-5.1
What is -0.1044478617 rounded to 5 decimal places?
-0.10445
Round 43014449090 to the nearest one million.
43014000000
What is 2.15634271 rounded to 4 dps?
2.1563
Round -545660614.3 to the nearest 1000000.
-546000000
Round -1918918.25 to the nearest 100.
-1918900
What is -0.000000616998838 rounded to seven decimal places?
-0.0000006
Round -0.74407111 to two decimal places.
-0.74
What is 0.000080126661 rounded to six dps?
0.00008
Round -0.408038757 to 5 dps.
-0.40804
What is -0.0000050725594 rounded to seven dps?
-0.0000051
Round -0.000000914104028 to seven dps.
-0.0000009
What is 31303092.1 rounded to the nearest 100000?
31300000
What is -3.792860529 rounded to four decimal places?
-3.7929
What is -0.0017184291 rounded to three dps?
-0.002
Round 1.704086018 to 1 decimal place.
1.7
Round 149.4432441 to 2 dps.
149.44
What is 0.0284254531 rounded to 5 dps?
0.02843
What is 0.00736380032 rounded to 6 decimal places?
0.007364
Round 4757.6189 to the nearest one thousand.
5000
What is -4499.262473 rounded to the nearest one thousand?
-4000
What is -109764693.2 rounded to the nearest ten thousand?
-109760000
Round 385087.228 to the nearest 1000.
385000
What is -24.710313 rounded to two dps?
-24.71
Round 0.0004657606986 to 4 decimal places.
0.0005
Round -0.00021463649 to six dps.
-0.000215
What is 0.00001359944887 rounded to 6 dps?
0.000014
Round -121.4336059 to the nearest ten.
-120
What is 0.0342803631 rounded to 5 decimal places?
0.03428
What is 3.51017119 rounded to 2 dps?
3.51
What is 432.7087549 rounded to two dps?
432.71
What is 0.0000174938168 rounded to 6 decimal places?
0.000017
Round 0.0035662556 to 6 dps.
0.003566
What is -87.9102195 rounded to 2 decimal places?
-87.91
Round -0.000232999546 to four dps.
-0.0002
Round -2356.078746 to the nearest integer.
-2356
What is -22869507.87 rounded to the nearest one hundred?
-22869500
Round 3645109.723 to the nearest 100.
3645100
Round 0.0077314286 to three dps.
0.008
What is -0.2255580771 rounded to 3 dps?
-0.226
Round -0.0000553964952 to 6 decimal places.
-0.000055
What is -0.001097452173 rounded to seven decimal places?
-0.0010975
What is -0.13868493537 rounded to 2 decimal places?
-0.14
What is 0.00001022660356 rounded to 7 dps?
0.0000102
What is -0.000227367255 rounded to seven dps?
-0.0002274
Round -1200.3981 to 0 decimal places.
-1200
Round -0.000000243183065 to 7 dps.
-0.0000002
Round -0.00152441225 to five decimal places.
-0.00152
What is 13802.02619 rounded to the nearest one thousand?
14000
What is -1.868429634 rounded to 2 decimal places?
-1.87
Round -0.08309104624 to four decimal places.
-0.0831
What is 0.0828999644 rounded to five decimal places?
0.0829
Round 26003293350 to the nearest 1000000.
26003000000
Round -3147.20074 to the nearest integer.
-3147
What is 2.74496545 rounded to 2 dps?
2.74
What is -285338801 rounded to the nearest 10000?
-285340000
What is 0.06177340516 rounded to four decimal places?
0.0618
What is -135409777.34 rounded to the nearest 100000?
-135400000
What is 11855312.24 rounded to the nearest one hundred thousand?
11900000
What is 0.00979082676 rounded to 4 decimal places?
0.0098
What is 0.00076676155 rounded to 7 dps?
0.0007668
What is 1.59362157 rounded to two dps?
1.59
What is -133.4545 rounded to the nearest ten?
-130
What is -9119941.9 rounded to the nearest 100000?
-9100000
Round 1495.922395 to the nearest 10.
1500
Round 0.23916216 to 3 decimal places.
0.239
Round -1.00282392 to 1 decimal place.
-1
Round 1689827.98 to the nearest 1000.
1690000
Round 1162611.673 to the nearest 100000.
1200000
What is 0.68006052 rounded to 2 decimal places?
0.68
Round 246579.5 to the nearest ten thousand.
250000
What is 647293.746 rounded to the nearest one thousand?
647000
What is 51.196869 rounded to the nearest ten?
50
What is -37359546 rounded to the nearest one million?
-37000000
Round 0.001355767279 to 6 dps.
0.001356
Round 0.1239548554 to 5 decimal places.
0.12395
What is -0.0011179975074 rounded to 4 decimal places?
-0.0011
What is -0.000003031173804 rounded to 7 dps?
-0.000003
What is -0.0176126609 rounded to 6 dps?
-0.017613
What is -439315.45 rounded to the nearest one hundred thousand?
-400000
What is -0.0121033084 rounded to 5 dps?
-0.0121
Round 449560.179 to the nearest 1000.
450000
Round -317687.312 to the nearest 100.
-317700
What is -3742.946875 rounded to 1 dp?
-3742.9
Round -2.9689489 to 3 decimal places.
-2.969
What is -38548.40613 rounded to the nearest 10?
-38550
What is -0.00000844186587 rounded to 6 decimal places?
-0.000008
What is 602683.3985 rounded to the nearest 100000?
600000
What is -78317393.9 rounded to the nearest 1000000?
-78000000
What is 5285.96156 rounded to the nearest ten?
5290
Round -0.00409415568 to five decimal places.
-0.00409
Round 305309.47 to the nearest 100000.
300000
What is 4581588.83 rounded to the nearest 100000?
4600000
What is 1.0948365437 rounded to five decimal places?
1.09484
What is -27.8747578 rounded to the nearest 10?
-30
What is -545707.91 rounded to the nearest 1000?
-546000
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
160*d**3 - 12
What is the second derivative of 185*i**3*v**2 - 4*i*v - 2*v**2 + 5*v wrt i?
1110*i*v**2
Find the first derivative of -296*a**4 + 316 wrt a.
-1184*a**3
What is the derivative of 68*k**2*n - 21*k**2 + 2*k*n**4 - 2*k*n wrt n?
68*k**2 + 8*k*n**3 - 2*k
Find the third derivative of -403*r**6 + 2*r**4 + 2*r**3 + 1909*r**2 wrt r.
-48360*r**3 + 48*r + 12
What is the second derivative of 60*k*r**3 - 7*k*r**2 - 100*k*r - 7*k wrt r?
360*k*r - 14*k
What is the second derivative of 3*h**4 - 8*h**3 + 70*h?
36*h**2 - 48*h
Find the first derivative of 200*j*n - 3*j + n - 3457 wrt j.
200*n - 3
What is the third derivative of 870*n**3*p - 2*n**2*p - 14*n**2 wrt n?
5220*p
Find the third derivative of -472*r**3*t + 30*r**2*t + 6*t wrt r.
-2832*t
What is the first derivative of n*v*w**2 - 2*n*w - 2*n + 2*v*w**2 + 541*v*w - 2*w**2 - 314*w wrt v?
n*w**2 + 2*w**2 + 541*w
What is the first derivative of 3*k*s**2 - 41*k + 2*s**2 - 5*s wrt s?
6*k*s + 4*s - 5
Find the third derivative of -24*f**5 + 2*f**3 + 5*f**2 - 38*f wrt f.
-1440*f**2 + 12
What is the second derivative of 40*i*j*o**2 - 2*i*j*o*r**3 - 2*i*o**2 + 2*j*o - 2*j*r**3 - o**3*r**3 + 10*o*r - 1 wrt o?
80*i*j - 4*i - 6*o*r**3
What is the second derivative of -200*x**3 - 73*x?
-1200*x
What is the second derivative of 11*l**3*o**3 - 6*l**3 + l**2*o + 10*l*o - 4*o**2 wrt o?
66*l**3*o - 8
Find the second derivative of 298*d*k**3 + 12*d*k - 4*k**3 - 12*k wrt k.
1788*d*k - 24*k
What is the second derivative of -161*l**5*q + 7*l + 4*q wrt l?
-3220*l**3*q
Differentiate 198*q**3*y**2 + 23*q**3 - 11*q*y**4 + 13*q wrt y.
396*q**3*y - 44*q*y**3
Find the first derivative of -2796*n**2 + 2*n + 889 wrt n.
-5592*n + 2
Differentiate -8*a**2*p**2 - 3*a**2*p - 2*a*p**2 + 2*p**2 + 77 with respect to a.
-16*a*p**2 - 6*a*p - 2*p**2
Find the second derivative of 8*j**2*n**3*v + 17*j**2*n*v + 10*j*n**3 - 12*j*n*v + 3*n**3*v wrt j.
16*n**3*v + 34*n*v
Find the second derivative of -3*n*r**3*y**2 - n*r**3*y - 97*n*r*y**2 - 102*n*r + 2*y**3 - 2*y wrt y.
-6*n*r**3 - 194*n*r + 12*y
What is the third derivative of 8*b**2*c**3*n - 2*b**2*c**2 + 4*b*c**4 + b*n + 2*c**3*n + 20*c**2*n - 2*c*n - 4*n wrt c?
48*b**2*n + 96*b*c + 12*n
What is the derivative of 2*h*u**3 + 2*h - 16*u**3 - 21 wrt u?
6*h*u**2 - 48*u**2
What is the first derivative of m**3*t + 10619*m**3 + 7861*m**2*t**2 wrt t?
m**3 + 15722*m**2*t
Find the third derivative of -3*s**5 - 103*s**4 - 2206*s**2.
-180*s**2 - 2472*s
What is the first derivative of -2019*a**2*h + 367*a**2 + 2 wrt h?
-2019*a**2
Find the third derivative of 1169*t**5 + 4*t**2 + 67 wrt t.
70140*t**2
Find the first derivative of -446*f**3*n + 99*f**3 + 2*f*n**2 - 4 wrt n.
-446*f**3 + 4*f*n
What is the second derivative of -281*i**3*p*v + 2*i**2*p*v - 6*i*p - 2*p*v + 36*p wrt i?
-1686*i*p*v + 4*p*v
Find the third derivative of -660*o**3 - 1874*o**2.
-3960
What is the first derivative of -3*d*f**2*l - 2*d*f**2*q + 3*d*f + d*l*q - 2*d*q - f**2*l*q - 15*f**2*q wrt l?
-3*d*f**2 + d*q - f**2*q
Differentiate -528*r**3 + 4*r - 28103 wrt r.
-1584*r**2 + 4
Find the first derivative of -3*s**2 - 548*s + 871.
-6*s - 548
Differentiate -233*o**3 - 3125 wrt o.
-699*o**2
What is the third derivative of -105*l**3 + 88*l**2?
-630
What is the third derivative of -44*d**3*q*r - d**3*r + 26*d**2*q - r wrt d?
-264*q*r - 6*r
Find the third derivative of -12414*x**3 + x**2 + 66*x + 10 wrt x.
-74484
What is the third derivative of 14986*c*i**3 + c + 170*i**2 - 9 wrt i?
89916*c
What is the third derivative of -331*j**3 - 5*j**2 + 16*j?
-1986
What is the second derivative of 14373*i**2 + 17*i + 369?
28746
Find the first derivative of -38*b**3*d*p**2 - b**3*d*p + 6*d*p**2 + 5*p**2 - 3 wrt b.
-114*b**2*d*p**2 - 3*b**2*d*p
What is the first derivative of 118*u**4 + 76 wrt u?
472*u**3
What is the second derivative of r**3*z**2 - 813*r**3*z + 798*r*z**2 wrt z?
2*r**3 + 1596*r
What is the second derivative of -96*i*o*p**4 - 2*i*o*p - 239*i*o - 14*i*p**4 + i*p wrt p?
-1152*i*o*p**2 - 168*i*p**2
What is the third derivative of 1447*n**6 - 5*n**3 + 3*n**2 - 1161*n wrt n?
173640*n**3 - 30
Find the third derivative of -881*t**3*u**3 + 659*t**2*u**3 wrt t.
-5286*u**3
Find the second derivative of -s**3*u**2 + 58*s**3*u*z + s**3*z - 2*s**2*u**2*z - s**2*z + 499*s*u**2*z + 6*u wrt u.
-2*s**3 - 4*s**2*z + 998*s*z
Differentiate -24*i**4 - 28*i - 76 with respect to i.
-96*i**3 - 28
What is the third derivative of -444*g**3*m**3 + 7*g**2*m**2 - g*m + 8*m**3 wrt g?
-2664*m**3
What is the first derivative of -669*q**4*t**3 - 1028*t**3 - t**2 wrt q?
-2676*q**3*t**3
Find the second derivative of -1809*j**3 - j + 13.
-10854*j
Find the third derivative of -14947*b**3*g**3 + 2*b**3*g**2 + 149*b**3 + 2*b**2*g**2 + 9*b*g wrt g.
-89682*b**3
Find the third derivative of -6*i**4 + 50*i**3 + 2*i**2 + 1484*i.
-144*i + 300
What is the second derivative of -50*w**3 - 8*w**2 + 11*w + 186 wrt w?
-300*w - 16
Find the first derivative of -11*d*j**2*r**2 - 111*d*r**2 - 358*j**3*r**2 + 59*r**2 wrt j.
-22*d*j*r**2 - 1074*j**2*r**2
Find the first derivative of -59*k**3*q + 2*k**3 - 3*k**2*q**2 - 317*k**2 - q**2 wrt q.
-59*k**3 - 6*k**2*q - 2*q
Find the second derivative of -2*a**5 - 160*a**3*k + 1870*a*k wrt a.
-40*a**3 - 960*a*k
Find the third derivative of 17777*c**4*d - 17464*c**2*d + c*d wrt c.
426648*c*d
What is the second derivative of -3438*g**4 - 7741*g?
-41256*g**2
What is the third derivative of 39*h**5 + 4*h**4 - 3668*h**2 wrt h?
2340*h**2 + 96*h
Find the second derivative of -2*b*p**2*t + 2*b*p**2 + 66*b*p - b*t + 7*p**2*t + 14*p**2 - p*t - p wrt p.
-4*b*t + 4*b + 14*t + 28
Find the third derivative of 2*h*r**2*s**3 + 7495*h*r*s**3 + 3*h*r*s**2 + 3*h*s + 574*r**2 wrt s.
12*h*r**2 + 44970*h*r
What is the first derivative of -12*j*v**3 + 23*j*v + 308*v**3 - 2*v**2 wrt j?
-12*v**3 + 23*v
What is the second derivative of -h**2*i*t + 29*h**2*t**2 + 29*h**2 + 2*h*i*t**3 - i - 6*t**5 wrt t?
58*h**2 + 12*h*i*t - 120*t**3
What is the first derivative of -1721*h**2*r - 3389*h**2 wrt r?
-1721*h**2
What is the first derivative of -38*c**3*u - 3*c**3 - 201*c**2 - 86*c*u**4 - 2 wrt u?
-38*c**3 - 344*c*u**3
Find the first derivative of -127*b**4 + 4*b**3 + 616 wrt b.
-508*b**3 + 12*b**2
What is the third derivative of -2*g**3*z**5 - 2*g**3*z - 2*g**2*z - g**2 - 78*z**6 + 106*z**2 wrt z?
-120*g**3*z**2 - 9360*z**3
Differentiate -200*b*y**2 - 38*b - y**2 wrt y.
-400*b*y - 2*y
What is the derivative of -k*q*x*z**3 + 1254*k*x*z**3 + 7*q*x*z**2 - 64*q*x*z + 2*q*x - z**3 wrt k?
-q*x*z**3 + 1254*x*z**3
Find the third derivative of 184*o**6 + 467*o**2.
22080*o**3
Differentiate -6*i*j + 9*i*l**3 - 3*j*l**3 - 34*j*l wrt i.
-6*j + 9*l**3
What is the second derivative of 14*o**3*u**3 - 6*o**3 + 2*o*u**2 - 126*u**3 wrt o?
84*o*u**3 - 36*o
What is the second derivative of 88*f*q**2*u**2 + 5*f*q**2 - 2*f*q*u**2 - f*q*u - f*q + 3*q**2*u - 61*u**2 wrt q?
176*f*u**2 + 10*f + 6*u
Find the third derivative of 26*s**5 - 2*s**4 - 15*s**2 + 5 wrt s.
1560*s**2 - 48*s
Find the third derivative of 3749*d**6*y**2 + 234*d**2*y**2 - 3*d**2*y wrt d.
449880*d**3*y**2
What is the second derivative of 4*b**4*w - b**3*w**3 + 3*b**3 - 2*b + 316*w**3 wrt b?
48*b**2*w - 6*b*w**3 + 18*b
Find the third derivative of 22*b**3*m - 10*b**3*w + 3*b**2*m - b**2 - 2*b*w - 7*m*w + 116*m wrt b.
132*m - 60*w
What is the first derivative of -2*i*u**3 - 51*i*u**2 + 50*u**3 - 7*u**2 wrt i?
-2*u**3 - 51*u**2
Differentiate -161*f*w**3 + 3*f - w**3 + 887*w**2 wrt f.
-161*w**3 + 3
Differentiate c**2*o**3 + 417*c**2 - 9*c*o**3 with respect to o.
3*c**2*o**2 - 27*c*o**2
What is the third derivative of -j**2*q**3 - j**2 - 117*j*q**3 - 9*q**2 + 10 wrt q?
-6*j**2 - 702*j
Find the third derivative of 12*c**2*i**3 + 31*c**2*i**2 - 2*c**2*q**2 - 2*c*i**3*q**2 - 24*c*i*q**2 - 2*i**3 wrt i.
72*c**2 - 12*c*q**2 - 12
Find the third derivative of 5232*g*u**3 + 7*g*u**2 + g*u - 2*u**3 - 2*u + 2 wrt u.
31392*g - 12
What is the third derivative of 3390*z**4 + 77*z**2 + 1 wrt z?
81360*z
What is the derivative of -312*n**4 + 68 wrt n?
-1248*n**3
What is the second derivative of 2*m**3 + 24*m**2 - 7*m + 10?
12*m + 48
Find the second derivative of 1277*h**4 + 508*h wrt h.
15324*h**2
What is the third derivative of -794*t**3 + 995*t**2 + 1 wr
|
{
"pile_set_name": "DM Mathematics"
}
|
t replacement from hhhhhhhshhhhhhh. What is prob of sequence hs?
1/15
Three letters picked without replacement from {w: 7, x: 1, b: 5}. Give prob of sequence xbw.
35/1716
What is prob of sequence aaa when three letters picked without replacement from aacictcchajcc?
1/286
Four letters picked without replacement from tzpzzzzzappztzztpp. What is prob of sequence papz?
1/408
What is prob of sequence iee when three letters picked without replacement from kukietuuuuiktkeeutui?
1/380
What is prob of sequence fw when two letters picked without replacement from {j: 8, f: 4, w: 5}?
5/68
What is prob of sequence rzz when three letters picked without replacement from zzrrzrrrrr?
7/120
What is prob of sequence rr when two letters picked without replacement from sgrguffr?
1/28
Four letters picked without replacement from yyyybybb. What is prob of sequence byby?
1/14
Three letters picked without replacement from {i: 1, b: 1, n: 5, v: 3}. Give prob of sequence ivb.
1/240
Calculate prob of sequence kv when two letters picked without replacement from vvtkggv.
1/14
Three letters picked without replacement from cccccccccccccoc. Give prob of sequence cco.
1/15
Calculate prob of sequence gs when two letters picked without replacement from sssssgssssssssgsss.
16/153
Calculate prob of sequence yjjy when four letters picked without replacement from {y: 6, j: 6}.
5/66
What is prob of sequence sdnd when four letters picked without replacement from dnsssdsssddssddsddo?
7/1292
What is prob of sequence evtv when four letters picked without replacement from etevvevltveevlvvevv?
3/323
Four letters picked without replacement from iziiiipiilipliipc. What is prob of sequence pizi?
9/1904
Calculate prob of sequence rl when two letters picked without replacement from oeikkoiklrkkoookiekl.
1/190
Three letters picked without replacement from {h: 6, b: 11, o: 1}. What is prob of sequence hbb?
55/408
Three letters picked without replacement from {p: 4, q: 1, f: 2}. What is prob of sequence ffq?
1/105
Three letters picked without replacement from {j: 7, n: 7}. Give prob of sequence njn.
7/52
Two letters picked without replacement from laalllaaaaalaa. Give prob of sequence ll.
10/91
Four letters picked without replacement from {f: 4, o: 16}. Give prob of sequence fffo.
16/4845
Three letters picked without replacement from {p: 3, c: 3, g: 1, i: 1, t: 2, b: 1}. What is prob of sequence igb?
1/990
Three letters picked without replacement from kwukuwwuvummuwwu. What is prob of sequence uku?
1/56
Four letters picked without replacement from {x: 4, h: 3}. What is prob of sequence hhhh?
0
Three letters picked without replacement from {d: 1, e: 2, y: 1, z: 3, m: 4}. What is prob of sequence dye?
1/495
What is prob of sequence ccbc when four letters picked without replacement from {e: 2, c: 4, b: 2}?
1/35
Two letters picked without replacement from {v: 5, p: 14}. What is prob of sequence pv?
35/171
Calculate prob of sequence rr when two letters picked without replacement from {x: 1, r: 4, m: 1, q: 1, o: 1}.
3/14
Four letters picked without replacement from yryyrrrryrrrrrrrrrr. Give prob of sequence yyyr.
5/1292
Calculate prob of sequence pso when three letters picked without replacement from doosddoldddspopgoo.
1/204
Two letters picked without replacement from {f: 4, m: 1, p: 2, q: 1, n: 10}. What is prob of sequence np?
10/153
What is prob of sequence mn when two letters picked without replacement from {r: 1, p: 1, m: 3, b: 2, n: 1, v: 4}?
1/44
Calculate prob of sequence kk when two letters picked without replacement from nkgokn.
1/15
What is prob of sequence mm when two letters picked without replacement from jjjmjmjjmjjjmj?
6/91
Two letters picked without replacement from {w: 1, e: 2, f: 3, l: 3, p: 1}. Give prob of sequence ew.
1/45
Calculate prob of sequence mmwm when four letters picked without replacement from wmwmwmm.
3/35
Calculate prob of sequence yy when two letters picked without replacement from {q: 4, w: 2, c: 1, y: 2, v: 1, b: 4}.
1/91
Four letters picked without replacement from {g: 1, w: 5, j: 5, d: 1, q: 1, h: 2}. What is prob of sequence jjww?
10/819
Four letters picked without replacement from poofppfbppbpopobp. Give prob of sequence fofb.
1/2380
Calculate prob of sequence ej when two letters picked without replacement from eeeeeejjejjeeeejee.
65/306
What is prob of sequence nn when two letters picked without replacement from nhnhnhnnnhn?
21/55
Calculate prob of sequence yyb when three letters picked without replacement from byybyyyyyb.
7/40
Three letters picked without replacement from inqqknnillkii. Give prob of sequence lkq.
2/429
Calculate prob of sequence lma when three letters picked without replacement from {l: 3, f: 3, m: 1, d: 1, t: 2, a: 2}.
1/220
Two letters picked without replacement from {u: 1, i: 8, s: 1, h: 2, x: 2, v: 3}. Give prob of sequence sv.
3/272
Three letters picked without replacement from xxfeoecexoecofecfc. Give prob of sequence xxe.
5/816
Calculate prob of sequence mmmm when four letters picked without replacement from mmmmmmmmmm.
1
Four letters picked without replacement from ogooaooxxggagagxg. What is prob of sequence ggax?
9/1904
What is prob of sequence jypp when four letters picked without replacement from {p: 6, l: 3, u: 1, j: 5, y: 2}?
5/952
What is prob of sequence jj when two letters picked without replacement from zjzzzzj?
1/21
Calculate prob of sequence mg when two letters picked without replacement from {e: 8, f: 5, g: 1, m: 4}.
2/153
Calculate prob of sequence hk when two letters picked without replacement from koyypysohss.
1/110
What is prob of sequence pzz when three letters picked without replacement from {p: 1, z: 2, b: 4, k: 1, n: 4, h: 6}?
1/2448
Three letters picked without replacement from ffffffffff. Give prob of sequence fff.
1
What is prob of sequence bnig when four letters picked without replacement from nibgv?
1/120
What is prob of sequence jvvv when four letters picked without replacement from {h: 5, o: 5, v: 9, j: 1}?
7/1615
Three letters picked without replacement from bbdbbbdbbbbbbdbbbdbb. What is prob of sequence bbd?
8/57
Two letters picked without replacement from wffwwffwffffyfaww. What is prob of sequence fw?
27/136
Calculate prob of sequence jp when two letters picked without replacement from {n: 7, w: 3, p: 1, j: 6}.
3/136
Calculate prob of sequence gn when two letters picked without replacement from {g: 1, c: 1, x: 1, n: 1, q: 11, w: 3}.
1/306
Four letters picked without replacement from gggghggh. What is prob of sequence ghhg?
1/28
Four letters picked without replacement from vvvvvvvvvgvvddvvv. Give prob of sequence vvgd.
13/2040
Three letters picked without replacement from bbffxbxbfbxxdfcxbff. Give prob of sequence fcd.
1/969
Four letters picked without replacement from jnjjjnjnnkjk. What is prob of sequence jkjj?
2/99
Two letters picked without replacement from {z: 1, m: 1, l: 5, g: 3, k: 1}. What is prob of sequence mz?
1/110
Two letters picked without replacement from iipiiipmmpmf. Give prob of sequence fp.
1/44
What is prob of sequence ors when three letters picked without replacement from {t: 1, o: 1, z: 5, r: 1, n: 6, s: 2}?
1/1680
Calculate prob of sequence yyff when four letters picked without replacement from ffffyy.
1/15
What is prob of sequence vg when two letters picked without replacement from gvvgvvvgggvvgvvvgggv?
99/380
Three letters picked without replacement from bqzzuqquucugubcuqc. Give prob of sequence zzq.
1/612
Four letters picked without replacement from {h: 2, u: 1, a: 1, f: 3, s: 1, b: 3}. Give prob of sequence bufb.
1/440
Two letters picked without replacement from {i: 15, y: 3, a: 2}. What is prob of sequence ia?
3/38
Three letters picked without replacement from {v: 3, g: 2, e: 2, a: 3, y: 3, z: 1}. Give prob of sequence eaa.
1/182
Four letters picked without replacement from jglgpglg. What is prob of sequence ggll?
1/70
Calculate prob of sequence br when two letters picked without replacement from zbbbiirrrrll.
1/11
What is prob of sequence xxaq when four letters picked without replacement from {q: 2, x: 4, a: 1, w: 6}?
1/715
Two letters picked without replacement from {u: 1, f: 1, e: 4, r: 2, g: 3, d: 1}. What is prob of sequence fr?
1/66
Two letters picked without replacem
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1260*q*v - 245772*v**2 + 1 wrt q?
-18*q*v - 20*q - v**2 + 1260*v
Find the second derivative of -16*q**5 - 669*q**3 + 4*q + 14318 wrt q.
-320*q**3 - 4014*q
Find the second derivative of -45*f*r**2*z**2 + 32852*f*r*z**2 + 10*f*r*z - 29167*f*r + 3*f - 2*r**2*z wrt z.
-90*f*r**2 + 65704*f*r
Find the third derivative of 510226*r**3 - 2*r**2 - 16*r - 3022.
3061356
Find the second derivative of -254088*n**2*w - 2*n**2 - 2644*n + 3*w wrt n.
-508176*w - 4
Find the first derivative of 330340*c**4 - 773730.
1321360*c**3
What is the first derivative of -88*k**2*s**2 + 2824*k**2*s - 1457*k**2 - 15*k - 6 wrt s?
-176*k**2*s + 2824*k**2
What is the second derivative of 15759*l**3 - 2683*l + 17 wrt l?
94554*l
What is the third derivative of 33714*u**3 + 2290*u**2 + 9 wrt u?
202284
What is the third derivative of 1201*z**5 - 45*z**3 + 657643*z**2?
72060*z**2 - 270
Differentiate v**3*z - 7*v**3 - 22*v**2*z - 16*v**2 - 154*v*z + 34*v + 39*z - 3 with respect to z.
v**3 - 22*v**2 - 154*v + 39
Find the second derivative of 2910035*w**2 + 2463133*w wrt w.
5820070
What is the third derivative of -51535*h**6 + 171318*h**2 wrt h?
-6184200*h**3
What is the first derivative of 22708*h**3*q**3 - 2*h**2 + 5*h*q**3 - 265703*q**3 wrt h?
68124*h**2*q**3 - 4*h + 5*q**3
What is the first derivative of 7262*l*z + l + 47895*z - 4 wrt l?
7262*z + 1
What is the third derivative of 54*u**6 - 1311*u**3*z**2 + 3*u**2*z**2 + 2*u**2 + 2*u*z**2 - 275*u*z + 3*u wrt u?
6480*u**3 - 7866*z**2
What is the second derivative of 2*p**4 + 2*p**3 + 175*p**2 + 73612*p + 2 wrt p?
24*p**2 + 12*p + 350
Differentiate -d*z**2 + 49*d*z - 64*d + 3*z**2 + 596 with respect to d.
-z**2 + 49*z - 64
What is the third derivative of 617440*r**4 + 4*r**3 - 4504956*r**2 wrt r?
14818560*r + 24
Find the second derivative of -796*f*o**3 + f*o**2 - 27*f + 10*o**3 + 2*o - 170 wrt o.
-4776*f*o + 2*f + 60*o
What is the first derivative of -604*c*q**2 + 2*c*q + 286202*c + 6*q**2 wrt q?
-1208*c*q + 2*c + 12*q
What is the third derivative of -2*l**5 + 12*l**4 + 1453*l**3 + 5*l**2 - 71927*l?
-120*l**2 + 288*l + 8718
What is the second derivative of -2*k*o**2*z**2 - 1182*k*o**2*z + 29*k*o + 14124*z**2 wrt z?
-4*k*o**2 + 28248
What is the second derivative of 5*j*o**5 - j*o**2 + 7*j*o - 1328*j - 995*o**5 wrt o?
100*j*o**3 - 2*j - 19900*o**3
What is the second derivative of 561395*f**2*k**2 + 2*f**2*k + 3*f**2 - 10*k - 58 wrt k?
1122790*f**2
Differentiate -75242*o**2 + 3*o - 618476 with respect to o.
-150484*o + 3
Find the third derivative of 27185*z**6 - 9860*z**2 - 2*z + 1 wrt z.
3262200*z**3
Find the third derivative of -871*c*o**4 + c*o**3 - 5282*c*o**2 + 12*c - 9*o**4 wrt o.
-20904*c*o + 6*c - 216*o
What is the second derivative of -829*m**2*o**2 + 2*m**2*o - 21848*m*o + m + 205*o**2 - o + 4 wrt o?
-1658*m**2 + 410
Find the first derivative of -18751*p**2 - 74*p - 4260665.
-37502*p - 74
What is the second derivative of -258367*j**3 - 295455*j wrt j?
-1550202*j
What is the first derivative of 7*b*s**3 - 58*b*s**2 - 5*b*s + 57*s**3 - 31 wrt b?
7*s**3 - 58*s**2 - 5*s
Differentiate 3*u**3*v - 2109*u**3 - 20372*u**2*v + 106*u**2 + 2*v with respect to v.
3*u**3 - 20372*u**2 + 2
Find the first derivative of -53*q**4 + 33*q**3 + 2*q**2 - 15*q + 2664264 wrt q.
-212*q**3 + 99*q**2 + 4*q - 15
Find the second derivative of 149501*s**2 + 8*s - 8217.
299002
Find the second derivative of 655*j**5 + 22*j**4 - 4*j**2 + 91528*j wrt j.
13100*j**3 + 264*j**2 - 8
What is the first derivative of -36911*g**4 - 26425?
-147644*g**3
Find the first derivative of g**3*h*n + g**3*n**3 + 252*g**3*n**2 + 4929*g*h*n**3 - g wrt h.
g**3*n + 4929*g*n**3
What is the derivative of 170*h*k*n*x + 502*h*n*x + 77*k*n*x - 490*k*n + k*x - x wrt h?
170*k*n*x + 502*n*x
Differentiate 2*a**2*c + 1536*a*c + 25877*c wrt a.
4*a*c + 1536*c
What is the derivative of -127223*y**3 - 119850?
-381669*y**2
What is the second derivative of 27377*h**2*y**2 + 2*h**2 - h*y**2 - 2*h*y + 134*y**2 - 235 wrt h?
54754*y**2 + 4
Find the first derivative of -2*m*w - 2*m*y**3 - 313*m*y - 2*w*y**3 + 3*w*y**2 + 15*w + 4*y + 808 wrt m.
-2*w - 2*y**3 - 313*y
Find the second derivative of 48881*y**3 + 338*y + 62.
293286*y
Find the second derivative of -367*z**4 - 1401*z**2 + 322414*z wrt z.
-4404*z**2 - 2802
What is the third derivative of a*b*y**4 + 150340*a*b*y**3 + 63*a*b*y**2 + a*y**4 - 2*a*y**2 - 189*b*y wrt y?
24*a*b*y + 902040*a*b + 24*a*y
Differentiate -k**2*r**2 + 22*k**2 + 2*k*r + 1887*k + 205032*r**2 + r + 1 with respect to r.
-2*k**2*r + 2*k + 410064*r + 1
What is the derivative of 366759*r*y**3 - 2*y**3 + 582*y**2 + 2*y - 57 wrt r?
366759*y**3
What is the third derivative of -3974*d**3*l**3 - 248*d**3 + 6*d*l**4 - 57*d*l**2 wrt l?
-23844*d**3 + 144*d*l
What is the third derivative of 28332*w**3 + 9504*w**2?
169992
Find the first derivative of -22506*n**2 - 6*n*s - 236097*s wrt n.
-45012*n - 6*s
Find the third derivative of 4*u**4 + 6361*u**3 + 3128*u**2 wrt u.
96*u + 38166
Differentiate 3694*l*z**3 + 2*l*z**2 - 130*l*z + 168904*z**3 - 4*z**2 with respect to l.
3694*z**3 + 2*z**2 - 130*z
Differentiate -4*d*f*w - 291*d*f + 2*d*w + 3*d - 6*f - 2*w - 6865 with respect to f.
-4*d*w - 291*d - 6
What is the second derivative of -5*h*s**2 - 2*h*s + 16692*h - 100341*s**2 + 2*s + 2 wrt s?
-10*h - 200682
Differentiate 22*z**2 + 2587*z - 211657 with respect to z.
44*z + 2587
Differentiate -4*d*o**2 + 659*d*o*v + 348*d*o - 74*d + 886*o**2*v - o**2 with respect to v.
659*d*o + 886*o**2
What is the third derivative of 60060*s**5 + 2*s**2 - 33*s - 46?
3603600*s**2
What is the first derivative of -12*b**3*j + 1012*b**3 - b - 1216*j + 2 wrt j?
-12*b**3 - 1216
Find the second derivative of 56680*v**2 - 5*v + 4485 wrt v.
113360
Find the third derivative of 191747*i**3*q**2 - 1455*i**2 - 3*i*q + 5*q**2 wrt i.
1150482*q**2
What is the third derivative of -4845156*y**5 - 211998*y**2 + 5*y wrt y?
-290709360*y**2
Find the first derivative of -1424437*z - 3184449.
-1424437
What is the first derivative of -85217*v**2 - 40660?
-170434*v
What is the second derivative of v**3*x**2 - v**3 + 105*v**2*x**2 - 17*v**2*x - 17*v*x**2 + 302*v*x + 57*x**2 wrt x?
2*v**3 + 210*v**2 - 34*v + 114
Find the second derivative of 9*j**4 - 798*j**2 + 16050*j wrt j.
108*j**2 - 1596
Differentiate -13069*u**2 + 4*u - 543267 wrt u.
-26138*u + 4
Differentiate -g**2*m - 4*g**2 + 9*g*m**2 - 405*g - 26*m**2 + 2050 wrt g.
-2*g*m - 8*g + 9*m**2 - 405
Find the second derivative of -8*f**3*y**3 - f**3*y + f**3 + 166*f**2*y**5 - 29*f**2*y + 100*y wrt y.
-48*f**3*y + 3320*f**2*y**3
What is the third derivative of 2497544*f**6 - 283*f**2 - 168*f + 4 wrt f?
299705280*f**3
What is the second derivative of 33635*t**2 + 2006*t + 2 wrt t?
67270
What is the third derivative of -220*n**6 + 378*n**5 - 493718*n**2?
-26400*n**3 + 22680*n**2
What is the third derivative of -2*u**3*y**2 - 2*u**3*y - 3728*u**3 - u**2*y**2 + 4639*u**2 wrt u?
-12*y**2 - 12*y - 22368
What is the second derivative of -2*f**5 - 5*f**3 + 1109*f**2 + f + 111797?
-40*f**3 - 30*f + 2218
What is the third derivative of -27023*d**5*o + d**2 + 7281*d*o wrt d?
-1621380*d**2*o
Find the third derivative of -3*w**4 + 236*w**3 + 24604*w**2 wrt w.
-72*w + 1416
Find the second derivative of 2*c**4 - 20600*c**3 - 4*c**2 + 1373793*c wrt c.
24*c**2 - 123600*c - 8
Find the third derivative of 281321*y**4 + 1853*y**2 + 52*y + 1.
6751704*y
Differentiate -55858*q - 227300.
-55858
Find the second derivative of -2*t*u*z**3 - 6*t*u*z + 10*t*z**3 - 147*t*z**2 - 10*t*z + 57*u*z wrt z.
-12*t*u*z + 60*t*z - 294*t
What is the first derivative of 373*m**3*u + 629*m**2*u - 1132175*u wrt m?
1119*m**2*u + 1258*m*u
Find the third derivative of 4*b**5 - 299*b**4 + 3*b**3 + 12*b**2 - 43*b - 4.
240*b**2 - 7176*b + 18
Find the second derivative of 7*b**3*v**3 + 13*b**3 + 66145*b**2*v**2 + 79*b*v + 5*b + 3*v**3 wrt v.
42*b**3*v + 132290*b**2 + 18*v
Differentiate -11912*d**2 + 2*d - 68702 with respect to d.
-23824*d + 2
What is the first derivative of 13995*b**2 + 11*b - 299184?
27990*b + 11
Find the third derivative of -36*u**5 - 14*u**4 + 2*u**3 + 71*u**2 - 3*u - 2.
-2160*u**2 - 336*u + 12
Find the second derivative of -2024271*a**4 + 49752*a.
-24291252*a**2
What is the second derivative of j**3 - 44159*j**2
|
{
"pile_set_name": "DM Mathematics"
}
|
ind the common denominator of v and 85/18.
72
Let n = 3 - -3. Suppose f + 2*w = -2, 2*w - 22 = -5*f - 0. What is the lowest common multiple of n and f?
6
Calculate the smallest common multiple of 45 and 1 + (-2*3/(-2) - -26).
90
Calculate the common denominator of 0 - 20/272*-10 and -109/12.
204
Let t(o) = o**2 + 4*o - 1. What is the least common multiple of t(3) and 2?
20
What is the common denominator of 73/8 and (162/(-48))/((-10)/(-8))?
40
Let i = 1030 - 8227/8. What is the common denominator of 182/(-24) - (8 + -9) and i?
24
Let h(s) = -s + 4. Let v be h(2). Suppose -110 = -3*w - v*w. Calculate the lowest common multiple of 4 and w.
44
Let t(p) = 4*p**2 - p - 5. Let s be t(-7). Suppose 0*f - s = f. What is the common denominator of 77/4 and 114/f*(-9)/2?
44
Suppose -2*o + 56 = 2*o + 3*p, 4*o - 56 = -p. Suppose -i + 11 = -2*i - 4*g, 0 = -2*i + g + o. Calculate the least common multiple of i and 4.
20
Let f = 16620 + -44754. Let a be 7443/3*92/f. Let u = 1/521 + a. Calculate the common denominator of 15 and u.
9
Let z = 1575 - 4669/3. Suppose 0 = -3*y - 17 - 28. Let d = 53 + y. Calculate the common denominator of d and z.
3
Let u = -10833/176 + 730/11. Find the common denominator of -55/152 and u.
304
Calculate the least common multiple of 12/(-30) - 64/(-10) and 8.
24
Let p = 11 + 1. Let g = 47 + -33. What is the lowest common multiple of p and g?
84
Let i(d) = d**2 + 8*d - 1. Let f be i(-8). What is the common denominator of (f/(-5))/((-1)/2) and -19/9?
45
Let l = -15 + 21. What is the lowest common multiple of l and 11?
66
Let w = 28417/586 - -2/293. Calculate the common denominator of 99/16 and w.
16
Calculate the common denominator of -21/122 and ((-29)/(-50))/(6/15 - 0).
1220
Let p = 31 + -30. What is the least common multiple of p and 3?
3
Find the common denominator of -97/4 and -98*(-1 - (-17)/18).
36
Suppose -3*l + 4 = -l. Suppose 3*q + 2300 = -2*q. Calculate the common denominator of l and 8/10*q/(-88).
11
Let d = -6 - -10. Suppose r = d*r - 21. Let s(o) = o + 9. What is the lowest common multiple of s(0) and r?
63
Suppose 0 = 2*n + n - 60. Find the common denominator of 126/n + 1/(-1) and -11/10.
10
Let s = -15043/2560 + 3/2560. Let u = -450550703 + 599232393099/1330. Let b = 2/665 - u. Find the common denominator of b and s.
8
Suppose 18*y - 17*y - 15 = 0. Calculate the lowest common multiple of y and 2.
30
Let p(f) = -f**3 - 5*f**2 - 3*f - 6. Let u = -28 + 23. Calculate the smallest common multiple of p(u) and 4.
36
Let c = -1/217 + 7597/434. Calculate the common denominator of 11/16 and c.
16
Let g(t) = t**2 - 4*t - 8. Let s(b) be the second derivative of b**5/20 + b**4/2 + b**3/2 - b**2 - 2*b. What is the smallest common multiple of s(-5) and g(6)?
8
Let o be 2/9 + 70/9. Suppose 3*j + 0*j = -x + o, x - 3*j - 8 = 0. Calculate the smallest common multiple of ((-4)/(-3))/((-12)/(-54) - 0) and x.
24
Suppose 32 = 5*k + 3*t - 5, 0 = 2*k + 2*t - 18. Let u = 7 - 9. Calculate the common denominator of -39/10 and 147/30 + u/k.
10
Let w(d) = -d**2 + 6*d + 2. What is the lowest common multiple of 9/(189/60)*(-7)/(-2) and w(6)?
10
Suppose -2*r - 326 = -5*d, 3*d = r + 103 + 92. Suppose 0*w = -2*w - d. Let f = -16 - w. Calculate the least common multiple of f and 10.
80
Let p(w) = -w**2 + 4*w - 5. Let z be p(5). Find the common denominator of (-1)/(-2)*485/z and -43/9.
36
Let k be (-12)/8*28/(-6). Suppose -3*u + k*u = 192. Suppose -4*h + u = -h - 5*x, 32 = 2*h + 3*x. What is the least common multiple of h and 8?
16
Suppose 0*j + 2*j = 0. Let c(g) = -g + 6. Let b = -1 - -7. Calculate the lowest common multiple of b and c(j).
6
Suppose -12 = -4*g + 20. Suppose -3*h + 10 + g = 0. Suppose 3 - 9 = -l. Calculate the smallest common multiple of l and h.
6
Let x(w) = -w**3 + 13*w**2 + 14*w + 11. Calculate the lowest common multiple of x(14) and 11.
11
Let i(p) = -p**3 - 2*p**2 + 2*p - 6. What is the lowest common multiple of 16 and i(-4)?
144
Let r = -707752328 - -2130334677441/3010. Let a = r + -2036/35. Let p = -6/43 - a. Find the common denominator of -51/2 and p.
2
Let x(g) = -16*g - 123. Suppose -4*t - 5*u = -t - 6, 0 = 3*u. What is the lowest common multiple of t and x(-8)?
10
What is the common denominator of -83/30 and (-26)/48 - (0 + -1)?
120
Suppose -4*z - 15 = -7*z. Calculate the lowest common multiple of 1 and z.
5
Let k(t) = -5*t + 6. Calculate the smallest common multiple of 3 and k(-3).
21
Suppose 52 = -a + 5*g + 5, 0 = 3*a - 4*g + 130. Calculate the least common multiple of 8 and a/(-4) + 4/(-8).
40
Let i = -5 + 6. Suppose -2*h + 3*v - 1 = 0, 0*v - 2 = -2*h + 2*v. Let t(m) = -m + 7. Calculate the least common multiple of t(h) and i.
3
Let g = -194/305 + -8047/1830. What is the common denominator of g and 137/24?
120
Let o = -491/30 - -91/5. Find the common denominator of (3/132)/(1/(-166)) and o.
66
Let d = -29 + 31. What is the least common multiple of 2 and d?
2
Let p = 375043/80780 - -1/11540. What is the common denominator of 119/6 and p?
42
Let r = 22/3 - 53/6. Let o be ((-2)/(-8))/(6/2908). Let x = o + -1603/12. Calculate the common denominator of x and r.
12
Suppose 0 = -5*f + 33 + 7. Suppose -3 = -4*p + 5*i - 1, i = -2*p + f. What is the least common multiple of 4 and p?
12
Find the common denominator of -19/11 and (2/(-8))/(-2 - (-1617)/732).
561
Let z be ((-2)/6)/(2/78). Suppose -3*w + 4*w - 9 = 0. Let j = w - z. What is the lowest common multiple of 20 and j?
220
Let k(t) = -t**2 - 5*t + 6. What is the least common multiple of 2/(2/5) + 1 and k(-5)?
6
Calculate the common denominator of 18/(-12) + ((-23)/(-9) - 0) and -43/15.
90
Let t = -56/123 + -1507/82. Find the common denominator of ((-7)/(21/(-118)))/12 and t.
18
Let i be 14*-6*2/(-3). Suppose i = -4*x + 8*x. Let h = 4 + 4. What is the smallest common multiple of h and x?
56
Suppose -3*k + 2*k = 5*t - 53, -11 = -2*t + 3*k. Suppose i = 4*i - 120. Calculate the smallest common multiple of t and i.
40
Suppose -5*v - 1 = -11. Suppose -4*h + 4*f - 12 = 0, 2*h + f + 6 = v*f. What is the least common multiple of ((-18)/15)/(h/10) and 12?
12
Suppose -5*v + 194 = 94. What is the smallest common multiple of 45 and v?
180
Suppose -15 = -b + 14. Suppose 5*s = -4*l + b, 5*l + s - 41 = l. Calculate the smallest common multiple of 3 and l.
33
Let n(x) = x**2 - 12*x + 2. Let q be (1 - 2)/(2/(-20)). Let t be n(q). What is the common denominator of 11/8 and t/(-21)*21/(-20)?
40
Let a be -27 + 0 + (-4)/10. Let q = 123/20 + a. What is the common denominator of q and (10/(-35))/(2/(-12))?
28
What is the smallest common multiple of 9 and (-2 - (-23)/4)*32/2?
180
Let c = 31 + -7. What is the smallest common multiple of c and 20?
120
What is the common denominator of 67/8 and (-1)/(-5) + (-176)/30 + -2?
24
Let z(p) = -5*p**3 + 2 + p**2 - 2. Let d be z(-1). Suppose 15 = -o + d*o. Calculate the least common multiple of 7 and o.
21
Suppose -4*v - v = -3*b + 39, -36 = -3*b + 4*v. Let g = -10 + 18. Calculate the smallest common multiple of b and g.
8
What is the common denominator of -95/12 and (-2)/6*(-999)/42?
84
Suppose 11*f = 7*f + 80. Suppose 5*h = 3*h + 20. What is the least common multiple of h and f?
20
Let p(r) = 7*r + 71. What is the lowest common multiple of p(-8) and (6/(-4))/(6/(-16))?
60
Let v = 360 - 5386/15. What is the common denominator of v and 56/33?
165
Suppose 2*n + 412 = 8. Find the common denominator of 127/6 and ((-9)/(-24))/(3/n).
12
Suppose -3*h = -6*h + 5*o - 7, -5*o = 2*h - 37. What is the lowest common multiple of h and 50?
150
Let u = 3 - 1. Calculate the smallest common multiple of 6 and u.
6
Suppose 11*u = 2*u + 108. Suppose -3*o + o = -12. Calculate the lowest common multiple of u and o.
12
Let a(s) = s**3 + 10*s**2 + 7*s - 2. Let q be a(-9). Suppose q = -i - 4*m, 6*m = -5*i + 2*m. Calculate the smallest common multiple of i and 11.
44
Suppose -5*y + 2*y + 66 = 0. Suppose -v + 5*t + 14 = -y, 4*v - 24 = -4*t. What is the smallest common multiple of 8 and v?
88
Let h = -439649/18 - -24431. What is the common denominator of 156/(-56) - (0 - -2) and h?
126
Let m = -799 - -12791/16. Let o = 2/56933 + -6091871/1138660. Find the common denominator of o and m.
80
Let s = -3 - -3. Let p = s - 3. What is the lowest common multiple of 7 - (0 - 3)/p and 22?
66
Let l(a
|
{
"pile_set_name": "DM Mathematics"
}
|
*p.
4*p*(p - 3)*(p - 1)**2
Factor l**2/9 - 34*l/9 - 8.
(l - 36)*(l + 2)/9
Factor 3*a**2/5 - 2133*a/5 - 2136/5.
3*(a - 712)*(a + 1)/5
Factor -4*q**2 - 1120*q + 2256.
-4*(q - 2)*(q + 282)
What is a in 4*a**4 - 10520*a**3 + 6916900*a**2 = 0?
0, 1315
Find d such that -4*d**4/5 + 74*d**3/5 - 342*d**2/5 + 118*d/5 + 154/5 = 0.
-1/2, 1, 7, 11
Find g, given that 2*g**4 + 114*g**3 + 1680*g**2 + 1568*g = 0.
-28, -1, 0
Factor 21*s**3 - 2505*s**2 - 4368*s + 1452.
3*(s - 121)*(s + 2)*(7*s - 2)
Let -d**4 + 158*d**3 - 6548*d**2 + 24178*d - 17787 = 0. Calculate d.
1, 3, 77
Factor -2*c**2 - 48*c.
-2*c*(c + 24)
Solve 7*x**5/3 - 4*x**4/3 - 17*x**3/3 - 2*x**2 = 0 for x.
-1, -3/7, 0, 2
Factor s**3/8 - 15*s**2/4 + 75*s/2 - 125.
(s - 10)**3/8
Let 2*z**4/5 - 2*z**3 - 48*z**2/5 - 8*z/5 + 64/5 = 0. What is z?
-2, 1, 8
Factor 6*z**4 - 14*z**3 + 10*z**2 - 2*z.
2*z*(z - 1)**2*(3*z - 1)
Factor -9*k**3 - 141*k**2 + 54*k + 96.
-3*(k - 1)*(k + 16)*(3*k + 2)
Factor -3*d**2/7 - 2292*d/7 - 437772/7.
-3*(d + 382)**2/7
Find w such that w**3/2 - 2*w**2 + 3*w/2 = 0.
0, 1, 3
Factor 3*y**3/4 - 39*y**2/4 + 117*y/4 - 81/4.
3*(y - 9)*(y - 3)*(y - 1)/4
Factor -4*m**3 + 44*m**2 - 104*m + 64.
-4*(m - 8)*(m - 2)*(m - 1)
Factor i**3/6 + 31*i**2/2 - 1021*i/6 + 309/2.
(i - 9)*(i - 1)*(i + 103)/6
Factor 8*z**5 + 30*z**4 + 28*z**3 - 16*z**2 - 36*z - 14.
2*(z - 1)*(z + 1)**3*(4*z + 7)
Let q**4/6 - 2*q**3/3 + q**2/3 + 2*q/3 - 1/2 = 0. Calculate q.
-1, 1, 3
Factor 44*z**2/3 + 112*z/3 - 20.
4*(z + 3)*(11*z - 5)/3
Find k, given that -2*k**3 - 96*k**2 - 184*k = 0.
-46, -2, 0
Factor -2*q**2 + 1234*q + 1236.
-2*(q - 618)*(q + 1)
Factor -2*o**3/3 + 968*o**2/3 - 3848*o/3 + 1280.
-2*(o - 480)*(o - 2)**2/3
Solve 10*p**3 + 126*p**2 + 342*p + 162 = 0.
-9, -3, -3/5
Factor -5*w**5 - 50*w**4 + 420*w**3 - 920*w**2 + 640*w.
-5*w*(w - 2)**3*(w + 16)
What is g in 4*g**2 - 260*g - 536 = 0?
-2, 67
Suppose h**3 + 473*h**2 + 56168*h + 55696 = 0. Calculate h.
-236, -1
Find b such that 8*b**3/7 - 1992*b**2/7 + 1986*b/7 - 496/7 = 0.
1/2, 248
Factor -z**4/5 + 3*z**3/5 + 2*z**2.
-z**2*(z - 5)*(z + 2)/5
Factor 96*r**2/5 + 162*r/5 - 12.
6*(r + 2)*(16*r - 5)/5
Factor -4*w**2 + 72*w + 160.
-4*(w - 20)*(w + 2)
Let b**2/4 - 5*b/4 + 1 = 0. Calculate b.
1, 4
Solve c**2 + 19*c + 48 = 0.
-16, -3
Find p, given that -p**4/2 - 5*p**3 + 23*p**2/2 - 6*p = 0.
-12, 0, 1
Solve 5*b**2/6 - 35*b/3 + 20 = 0.
2, 12
Factor -o**2 + 19*o + 42.
-(o - 21)*(o + 2)
Factor -4*m**3 - 76*m**2 - 64*m + 144.
-4*(m - 1)*(m + 2)*(m + 18)
Factor t**2/3 + 23*t/3 + 22/3.
(t + 1)*(t + 22)/3
Factor 2*k**2 - 348*k + 346.
2*(k - 173)*(k - 1)
Factor -2*o**2 - 2792*o + 8394.
-2*(o - 3)*(o + 1399)
Factor -g**5/5 + 11*g**4/5 - 43*g**3/5 + 73*g**2/5 - 56*g/5 + 16/5.
-(g - 4)**2*(g - 1)**3/5
Solve n**2 + 39*n + 140 = 0.
-35, -4
Factor 2*i**3 + 62*i**2 - 272*i + 280.
2*(i - 2)**2*(i + 35)
Find u such that 3*u**5/4 + 6*u**4 + 9*u**3/2 - 6*u**2 - 21*u/4 = 0.
-7, -1, 0, 1
Find d such that d**4 + 46*d**3 - 47*d**2 = 0.
-47, 0, 1
Solve -2*u**4 - 92*u**3 - 808*u**2 - 1348*u - 630 = 0 for u.
-35, -9, -1
Factor -2*g**4/19 - 44*g**3/19 - 42*g**2/19.
-2*g**2*(g + 1)*(g + 21)/19
Factor j**2/7 + 5*j/7 - 2.
(j - 2)*(j + 7)/7
Find f such that 3*f**5 + 12*f**4 - 57*f**3 + 42*f**2 = 0.
-7, 0, 1, 2
Factor -10*s**3 + 95*s**2 - 125*s + 40.
-5*(s - 8)*(s - 1)*(2*s - 1)
Factor -57*m**2/8 - 177*m/8 - 9/4.
-3*(m + 3)*(19*m + 2)/8
Solve -5*n**4/4 - 65*n**3/4 - 115*n**2/4 - 55*n/4 = 0.
-11, -1, 0
Let 4*n**5 + 64*n**4 + 404*n**3 + 1256*n**2 + 1920*n + 1152 = 0. What is n?
-4, -3, -2
Factor 4*p**2/7 + 100*p/7 + 48.
4*(p + 4)*(p + 21)/7
Solve 243*c**5/5 + 216*c**4 + 471*c**3/5 - 2754*c**2/5 - 288*c + 480 = 0.
-20/9, -2, 1
Factor -a**3 + 28*a**2/3 + 137*a/3 + 26.
-(a - 13)*(a + 3)*(3*a + 2)/3
What is l in -30*l**4/11 + 48*l**3/11 + 174*l**2/11 - 120*l/11 - 72/11 = 0?
-2, -2/5, 1, 3
Let -3*z**4 - 99*z**3 - 765*z**2 + 867*z = 0. What is z?
-17, 0, 1
Factor 3*j**4/5 - 82*j**3/5 + 132*j**2 - 120*j - 1600.
(j - 10)**3*(3*j + 8)/5
Suppose 2*s**2/7 - 2812*s/7 + 988418/7 = 0. What is s?
703
Suppose g**2 - 6*g - 1287 = 0. Calculate g.
-33, 39
Factor 10*r**3 + 74*r**2 - 152*r - 72.
2*(r - 2)*(r + 9)*(5*r + 2)
Suppose -q**2 + 233*q - 232 = 0. What is q?
1, 232
Suppose -z**4/6 + z**3/2 - 2*z/3 = 0. What is z?
-1, 0, 2
Solve -10*m**4 + 22*m**3/7 + 40*m**2/7 + 8*m/7 = 0.
-2/5, -2/7, 0, 1
Determine a, given that -3*a**5 - 3*a**4 + 18*a**3 - 6*a**2 - 15*a + 9 = 0.
-3, -1, 1
Find n such that -2*n**3/7 + 94*n**2/7 - 1056*n/7 - 1152/7 = 0.
-1, 24
Determine w, given that 5*w**5 - 10*w**4 - 5*w**3 + 10*w**2 = 0.
-1, 0, 1, 2
Factor 4*s**2 - 100*s + 96.
4*(s - 24)*(s - 1)
What is w in 5*w**4 + 5*w**3 - 30*w**2 - 20*w + 40 = 0?
-2, 1, 2
Factor j**5 - j**4 - 8*j**3 + 12*j**2.
j**2*(j - 2)**2*(j + 3)
Factor 10*z**2/11 - 908*z/11 - 182/11.
2*(z - 91)*(5*z + 1)/11
Suppose -2*n**3/15 + 68*n**2/15 + 142*n/15 + 24/5 = 0. What is n?
-1, 36
Determine i, given that -60*i**2 - 158*i + 28 = 0.
-14/5, 1/6
Factor 3*a**2 - 96*a + 180.
3*(a - 30)*(a - 2)
Factor -3*m**4/7 + 27*m**3/7 + 30*m**2/7.
-3*m**2*(m - 10)*(m + 1)/7
Suppose s**4/8 - 5*s**3/8 + s**2 - s/2 = 0. Calculate s.
0, 1, 2
Determine o, given that -98*o**5 + 574*o**4 - 1122*o**3 + 962*o**2 - 364*o + 48 = 0.
2/7, 4/7, 1, 3
Find n such that -2*n**4/15 + 2*n**3/15 + 6*n**2/5 - 6*n/5 = 0.
-3, 0, 1, 3
Factor j**4 - 4*j**3 - 11*j**2 - 6*j.
j*(j - 6)*(j + 1)**2
Suppose 3*k**5/8 - 363*k**4/4 + 45351*k**3/8 - 43197*k**2/2 + 42483*k/2 = 0. What is k?
0, 2, 119
Suppose 5*k**3/2 + 315*k**2/2 - 160*k = 0. Calculate k.
-64, 0, 1
Factor 3*h**4 + 102*h**3 + 279*h**2.
3*h**2*(h + 3)*(h + 31)
Factor 4*l**3/5 - 204*l**2/5 - 84*l - 212/5.
4*(l - 53)*(l + 1)**2/5
Factor 4*j**3/9 + 9776*j**2/3 + 23892544*j/3 + 58393377536/9.
4*(j + 2444)**3/9
Factor -g**2 - 194*g - 9409.
-(g + 97)**2
Factor 10*z**4/9 + 26*z**3/9 + 2*z**2 - 2*z/9 - 4/9.
2*(z + 1)**3*(5*z - 2)/9
Factor 2*n**2 - 1680*n + 352800.
2*(n - 420)**2
Solve 4*d**5 + 344*d**4 - 2160*d**3 + 4376*d**2 - 3668*d + 1104 = 0 for d.
-92, 1, 3
Determine b, given that 25*b**3 - 11535*b**2 + 1336311*b - 1324801 = 0.
1, 1151/5
Factor -w**5/2 - w**4/2 + 4*w**3 + 6*w**2.
-w**2*(w - 3)*(w + 2)**2/2
Determine j so that 2*j**2/19 + 26*j/19 + 60/19 = 0.
-10, -3
Factor 2*g**2 + 592*g.
2*g*(g + 296)
Let -i**3/7 - 299*i**2/7 - 22200*i/7 + 22500/7 = 0. What is i?
-150, 1
Determine p, given that -71*p**2 - 95*p - 24 = 0.
-1, -24/71
Determine p so that -27*p**4/8 + 81*p**3 - 315*p**2/4 + 26*p - 23/8 = 0.
1/3, 23
Find x, given that 5*x**2 + 9110*x + 4149605 = 0.
-911
Suppose -2*h**5/7 - 38*h**4/7 - 128*h**3/7 - 120*h**2/7 = 0. What is h?
-15, -2, 0
Factor -3*x**5/8 - 15*x**4/8 - 3*x**3 - 3*x**2/2.
-3*x**2*(x + 1)*(x + 2)**2/8
Factor -2*x**3/17 - 334*x**2 - 4032798*x/17 - 4027122/17.
-2*(x + 1)*(x + 1419)**2/17
Factor j**4/2 + 11*j**3/4 + 17*j**2/4 + 3*j/2.
j*(j + 2)*(j + 3)*(2*j + 1)/4
Factor 3*d**2/4 - 201*d/2 - 405/4.
3*(d - 135)*(d + 1)/4
Suppose 33*q**2/2 - 15*q/2 - 9 = 0. What is q?
-6/11, 1
Factor -q**4/4 + 7*q**3/2 - 35*q**2/4 + 11*q/2.
-q*(q - 11)*(q - 2)*(q - 1)/4
Factor -3*j**2/4 - 3*j/2 + 18.
-3*(j - 4)*(j + 6)/4
Determine r, given that r**3/8 - 11*r**2/8 = 0.
0, 11
Let 2*b**5/13 + 14*b**4/13 + 10*b**3/13 - 14*b**2/13 - 12*b/13 = 0. Calculate b.
-6, -1, 0, 1
Find c such that -c**5 - 28*c**4 + 3*c**3 + 86*c**2 + 56*c = 0.
-28, -1, 0, 2
Determine w, given that w**3 + 12*w**2 + 29*w + 18 = 0.
-9, -2, -1
What is d in d**2 + 22*d + 21 = 0?
-21, -1
Let -v**4/6 - 5*v**3/6 + v**2/6 + 5*v/6 = 0. Calculate v.
-5, -1, 0, 1
Find f such that 69*f**5 + 339*f**4 + 453*f**3 + 165*f**2 - 18*f = 0.
-3, -1, 0, 2/23
Let -l**2/5 + 29*l + 146/5 = 0. What is l?
-1, 146
Factor -j**4/2 + 2*j**3 + 5*j**2/2.
-j**2*(j - 5)*(j + 1)/2
Factor 5*r**3 - 135*r**2 - 5*r + 135.
5*(r - 27)*(r - 1)*(r + 1)
Let 28*t**4 + 1644*t**3 - 500*t**2 - 1644*t + 472 = 0. Calculate t.
-59, -1, 2/7, 1
Suppose -3*j**2 + 90*j - 87 = 0. Calculate j.
1, 29
Determine a so that 3985*a**2 + 15930*a - 40 = 0.
-4, 2/797
Factor 8*v**3 - 190*v**2 + 746*v - 456.
2*(v - 19)*(v - 4)*(4*v - 3)
Let 4*p**3/7 - 180*p**2/7 + 2400*p/7 - 8000/7 = 0. What is p?
5, 20
Find l such that 4*l**2 - 3940*l - 7896 = 0.
-2, 987
Let -2*d**3/3 - 4*d**2 + 26*d/3 + 28 = 0. What is d?
-7, -2, 3
Solve 20*g**3 + 555*g**2 + 3780*g - 980 = 0 for
|
{
"pile_set_name": "DM Mathematics"
}
|
(l) be the second derivative of 5215*l**4/12 - l**3/6 + 1267*l**2/2 - l - 2291. What is the derivative of f(i) wrt i?
10430*i - 1
Suppose 0 = -5*w + 2*r - 628, 4*w + 0*r = 3*r - 501. Let o = -103 - w. Find the second derivative of o*z**3 + 8*z - 2*z**4 - 23*z**3 + 14*z wrt z.
-24*z**2
Suppose 0 = 4*n + 2*o - 16, 3*o + 9 = 2*n + 1. Let u be 86/9 - 19/855*-20. What is the third derivative of -2*f**n + 0*f**4 - u*f**2 - 2*f**2 wrt f?
-48*f
Let m(z) = z**3 + z. Let j(h) = -4*h**3 - 6*h**2 - 3. Let v(i) = -j(i) - 5*m(i). Let g be v(5). What is the first derivative of 8*x**3 - 65 + 4*x**g + 72 wrt x?
36*x**2
Let h(g) be the first derivative of -2*g**3 - 40 - 1/4*g**4 + 1/2*g**2 + 13*g. What is the second derivative of h(r) wrt r?
-6*r - 12
Let j(s) be the third derivative of -s**8/112 + 9*s**6/40 + 1187*s**4/24 + 140*s**2. What is the second derivative of j(l) wrt l?
-60*l**3 + 162*l
What is the second derivative of 640090*n**2 + 95*n - 641461*n**2 - 1147*n wrt n?
-2742
Let a = 88 - 76. Suppose -67 + a = -11*x. What is the derivative of 0 - 2 + 5*r - x*r - 4*r wrt r?
-4
Let f(o) be the third derivative of 3/5*o**6 - 31/12*o**4 - 51*o**2 + 0*o**3 + 1/60*o**5 + 0*o - 1. What is the third derivative of f(i) wrt i?
432
What is the second derivative of -623*d - 222*d**2 + 441*d + 1039*d wrt d?
-444
Let d = -390 + 394. What is the third derivative of 10*x**2 + 22*x**2 - 66*x**d + 48*x**2 wrt x?
-1584*x
Let w(x) be the first derivative of 50*x**3/3 - 9*x**2/2 + 1267*x - 306. Differentiate w(c) wrt c.
100*c - 9
Let h = 36 - -26. Let r = 2300 - 2297. What is the second derivative of 32*k**3 + k - h*k**3 + 35*k**r wrt k?
30*k
Let y(n) be the first derivative of -153*n**4/4 + 7*n**2/2 + 223*n - 3407. Find the second derivative of y(w) wrt w.
-918*w
Let j(k) be the first derivative of 0*k**3 - 2/5*k**5 + 8*k + 0*k**4 + 53 + 5*k**6 + 3/2*k**2. Find the second derivative of j(s) wrt s.
600*s**3 - 24*s**2
Let h(b) be the first derivative of -330*b**4 + 761*b**3/3 - 490. What is the third derivative of h(m) wrt m?
-7920
Let m(w) be the first derivative of w**4 - 17*w**3 + 185*w**2/2 + 950. Find the second derivative of m(p) wrt p.
24*p - 102
Let u(h) = 9*h + 16. Let f be u(6). Let g = f + -68. What is the third derivative of -8*w**2 - 6*w**2 + 19*w**5 - 15*w**g + 28*w**5 wrt w?
2820*w**2
Let y(h) be the second derivative of 933*h**4/2 + 2341*h**3 - 2286*h. What is the second derivative of y(k) wrt k?
11196
Let n be (0 + 4/5)*(6 - 1). Suppose n*o = 4 + 36. Find the second derivative of o*y - 33*y**2 + 22*y**2 + 15*y**2 wrt y.
8
Suppose 5*l = 4*h + 38, -l + 7 = -2*h - 3. What is the third derivative of -1862*i - 54*i**2 + 2*i**l - 30*i**5 - 19*i**5 + 1864*i wrt i?
240*i**3 - 2940*i**2
Let t(p) be the third derivative of 341*p**4/8 - 4589*p**3/6 + p**2 + 343. Differentiate t(g) with respect to g.
1023
What is the first derivative of -1120 - 130*k**3 + 73*k**3 + 235*k**3 - 517 + 267*k**3 wrt k?
1335*k**2
Let v(j) be the second derivative of 1363*j**5/10 + 1433*j**4/3 + 11*j - 192. Find the third derivative of v(o) wrt o.
16356
Find the first derivative of -3*p**2 + 3*p**2 - 3233 - 4611 + 2829*p**3 + 2566*p**3 wrt p.
16185*p**2
Let g(u) be the first derivative of -3*u**5/5 + 151*u**3/3 - 595*u + 865. Differentiate g(i) wrt i.
-12*i**3 + 302*i
Let p(d) = 67*d**3 + 3*d**2 - 1003*d - 5. Let x(r) = -67*r**3 - 3*r**2 + 1004*r + 4. Let m(u) = 4*p(u) + 5*x(u). Find the second derivative of m(a) wrt a.
-402*a - 6
Suppose 4*h - 40 = -0*h. Let k be -1*2 + -1*(-4 - h). What is the second derivative of 6*a + k*a**2 + 9*a**2 + 4*a + 2*a wrt a?
42
Let w(p) be the third derivative of -843*p**6/40 + 813*p**5/20 + 6*p**2 + 4. What is the third derivative of w(k) wrt k?
-15174
Let s(r) be the second derivative of 5949*r**5/20 - 3857*r**2/2 - 3515*r. Find the first derivative of s(i) wrt i.
17847*i**2
Let x(d) = -d**2 + d. Let p(a) = -7*a**2 + 14*a**3 + 2*a**2 - 64 + 4593*a - 4588*a. Let i(j) = -p(j) + 5*x(j). What is the first derivative of i(n) wrt n?
-42*n**2
Let d(u) be the second derivative of -7574*u**6/15 - u**4/12 - 2*u**3/3 + 35*u**2/2 - 3396*u. What is the third derivative of d(q) wrt q?
-363552*q
Let f(m) be the first derivative of -11797*m**5/5 - m**4/2 + 6091*m**2 + 14806. What is the second derivative of f(t) wrt t?
-141564*t**2 - 12*t
Let r(u) = 25*u**4 + 13*u**3 - 37*u**2 + 89*u + 3543. Let i(q) = 4*q**4 + 2*q**3 - 6*q**2 + 15*q + 590. Let t(f) = -13*i(f) + 2*r(f). Differentiate t(o) wrt o.
-8*o**3 + 8*o - 17
Differentiate -868 - 1934 - 191*j**2 - 390*j**2 + 732 wrt j.
-1162*j
Let y(q) be the second derivative of -2873*q**5/20 + 1457*q**3/6 - 37*q - 49. What is the second derivative of y(u) wrt u?
-17238*u
Let i(z) be the first derivative of -31/3*z**3 - 20*z + 0*z**2 + 68. Differentiate i(v) wrt v.
-62*v
Find the third derivative of 687*h + 3*h**2 - 119032*h**4 + 154*h**6 + 59512*h**4 + 59520*h**4 + 359*h + 4*h**5 wrt h.
18480*h**3 + 240*h**2
Differentiate 5*r**3 - 466 + 0*r**3 + 2270*r**4 - 1131*r**4 - 5*r**3 with respect to r.
4556*r**3
Let o be (180/(-135))/((-2)/6). What is the derivative of -4*y**4 + 2*y**4 + 80 - 177*y**3 + 6 + 4*y**o + 0 wrt y?
8*y**3 - 531*y**2
Let m(j) be the second derivative of -141*j**7/2 - 7*j**3/3 + 21*j**2 + 3206*j. Find the second derivative of m(u) wrt u.
-59220*u**3
Let m(n) be the first derivative of n**4/4 + 968*n**3/3 + 801*n**2/2 + 1307. What is the second derivative of m(a) wrt a?
6*a + 1936
Let f(l) = -3*l**3 + 2*l + 1. Let v be f(-1). Find the third derivative of -8*n + n - 23*n**3 + 4*n + 4*n - v*n**4 - 29*n**2 wrt n.
-48*n - 138
Let y(z) = 8245*z**4 - 6869*z**2. Let p(a) = -5497*a**4 + 4579*a**2. Let x(f) = -7*p(f) - 5*y(f). What is the third derivative of x(l) wrt l?
-65904*l
What is the first derivative of 418*w**3 - 33607 + 34799 + 142*w**3 wrt w?
1680*w**2
Let x be ((-357)/(-28))/((-9)/(-12)). What is the second derivative of -x + 2*v**3 - 21*v**2 + 2*v**2 - 17*v**2 - 14*v**2 - 2*v wrt v?
12*v - 100
What is the second derivative of 3937*f**2 + 5 - 2 - 3937*f**2 + 2307*f**4 + 99*f wrt f?
27684*f**2
Suppose -4*u - 25 = 3, 0 = -5*w + 5*u + 45. Let l(o) be the first derivative of -18 + 0*o**w + 37*o + 32/3*o**3. Differentiate l(h) wrt h.
64*h
Let f(p) be the second derivative of 6*p**5/5 + 31*p**4/4 - 1679*p**3/6 + p + 1589. Find the second derivative of f(c) wrt c.
144*c + 186
Let j(a) be the second derivative of -159*a**5/2 + 449*a**4/12 + 2*a**3/3 - a**2/2 - 2955*a + 2. Find the third derivative of j(f) wrt f.
-9540
Let v be (-54)/(-90) - (-262)/5. Find the second derivative of -v*h**3 + 4*h**2 + 24*h - 7*h - 6*h**2 + 19*h**3 wrt h.
-204*h - 4
Let u(s) = -s**5 - s**2. Let j(q) = 6205*q**6 - 9*q**5 + 6581*q**2. Let r(n) = j(n) - 9*u(n). Find the third derivative of r(d) wrt d.
744600*d**3
Let q(d) be the first derivative of 8709*d**2/2 + 6846*d + 4829. Find the first derivative of q(f) wrt f.
8709
Suppose 4*w + 5*b = 9, -21 = -2*w + 3*b - 0*b. Suppose w*n = -3*n + 18. What is the derivative of 2003*k - 14 - 2003*k + 3*k**n wrt k?
6*k
Suppose z - 2*y = 6, -4*z + 3*y + 3 = -11. Find the third derivative of 0*a**z - 2*a**2 - 989*a**5 + 10*a**3 + 17*a + 991*a**5 wrt a.
120*a**2 + 60
Find the second derivative of -6*d - 593644*d**4 - 7*d**2 + 593531*d**4 - 6 - 5 - 4*d**2 wrt d.
-1356*d**2 - 22
Let i(u) be the first derivative of 2*u + 13*u**3 - 61/2*u**2 - 19. What is the second derivative of i(w) wrt w?
78
Let r(f) = 104*f**2 + 277*f - 8634. Let s(q) = -131*q**2 - 278*q + 8634. Let b(n) = 5*r(n) + 4*s(n). Differentiate b(d) wrt d.
-8*d + 273
Let p be 84/2 - -3*8/(-12). Suppose 172 = 4*f + p. What is the third derivative of 12*r**2 + 2*r**2 + 4*r**5 - f*r**5 + 8*r**5 wrt r?
-1260*r**2
Let x(b) be the second derivative of -b**6/10 - 9*b**5/4 + 884*b**3/3 - b - 26. Find the second derivative of x(p) wrt p.
-36*p**2 - 270*p
Let g(r) be the third derivative of 23*r**7/70 + r**6/24 + r**5/30 - 2*r**3/3 - 9*r**2 - 28. What is the third derivative of g(q) wrt q?
1656*q + 30
Suppose 0*o - 22 = -4*o - l, -4*o = 5*l - 14. Differentiate 2*c**2 - c**2 + o*c**2 - 70 + 7*c**2 wrt c.
28*c
Let t = -862 + 862. Let f(g) be the first derivative of 7/3*g**6 + 0*g**5 + 5 + 0*g + 0*g**4 - 19/3*g**3 + t*g**2. What is the third derivative of f(u) wrt
|
{
"pile_set_name": "DM Mathematics"
}
|
the greatest common divisor of 200529 and 1569267?
189
What is the highest common divisor of 27908 and 35084?
4
Calculate the greatest common divisor of 4657 and 549400261.
4657
Calculate the highest common factor of 30823 and 11453.
13
What is the greatest common factor of 5580048 and 336?
48
Calculate the highest common factor of 252 and 2564436.
84
What is the greatest common factor of 14981370 and 62?
62
What is the greatest common divisor of 6314306 and 855464?
3506
Calculate the greatest common factor of 10620 and 444347172.
2124
What is the highest common factor of 1788021784 and 34?
34
Calculate the highest common factor of 38306 and 3525222.
214
What is the greatest common factor of 177871435 and 511?
511
Calculate the greatest common divisor of 1517290 and 120.
10
What is the greatest common factor of 11914 and 5080544?
518
Calculate the highest common factor of 168208 and 17776.
16
Calculate the greatest common divisor of 61746 and 64083.
123
What is the greatest common divisor of 1247 and 53881451?
43
Calculate the greatest common factor of 290 and 54476.
2
What is the greatest common factor of 15093 and 8610732?
351
Calculate the greatest common factor of 58140 and 3551708.
1292
What is the greatest common factor of 2214595 and 15?
5
Calculate the greatest common factor of 94697 and 115591.
337
Calculate the highest common divisor of 190718 and 121.
11
Calculate the greatest common divisor of 92888 and 294420127.
11611
Calculate the highest common divisor of 1082 and 32461623.
541
Calculate the highest common factor of 86020 and 685355.
935
What is the highest common factor of 33843 and 561327?
1167
Calculate the greatest common divisor of 56631 and 6220191.
1317
Calculate the greatest common factor of 124972 and 1575284.
796
Calculate the greatest common factor of 3789784 and 40.
8
Calculate the highest common factor of 11063384 and 3698.
86
What is the highest common factor of 52312734 and 171?
9
What is the greatest common factor of 1984 and 81421376?
1984
What is the highest common factor of 5965758 and 14?
2
Calculate the greatest common factor of 5324 and 11763983.
121
Calculate the highest common factor of 145523593 and 5702.
2851
Calculate the highest common divisor of 31080 and 1271865.
105
What is the greatest common divisor of 2476557 and 1170?
9
What is the highest common factor of 95361 and 42735?
21
What is the greatest common factor of 20037969 and 189441?
6111
What is the highest common factor of 116 and 17521916?
116
What is the greatest common factor of 143380 and 50585?
335
What is the highest common factor of 1513587 and 54492?
717
Calculate the highest common divisor of 64071025 and 300.
25
Calculate the greatest common divisor of 338 and 841906.
26
Calculate the highest common divisor of 3 and 4939623.
3
Calculate the highest common factor of 237 and 35821207.
79
What is the highest common factor of 243 and 4987878?
3
What is the greatest common divisor of 4069 and 107016?
13
Calculate the highest common divisor of 93938 and 144638.
26
What is the greatest common divisor of 35 and 2037280035?
35
Calculate the greatest common divisor of 1644288 and 19452.
12
Calculate the highest common divisor of 49 and 192298393.
49
Calculate the greatest common divisor of 77782 and 2.
2
What is the greatest common factor of 561 and 15356406?
51
What is the greatest common divisor of 1991 and 486709?
181
Calculate the greatest common divisor of 7085 and 3730805.
65
Calculate the highest common factor of 26936 and 1839344.
3848
What is the greatest common factor of 2023332 and 123?
3
What is the greatest common divisor of 213318736 and 7872?
656
Calculate the highest common factor of 32541130 and 2220.
370
Calculate the highest common factor of 77486 and 27948.
34
What is the greatest common factor of 6254 and 169094?
118
Calculate the greatest common factor of 3724 and 6376476.
76
Calculate the highest common factor of 24916675 and 175.
175
What is the highest common divisor of 216 and 24837768?
72
Calculate the highest common divisor of 5189191 and 358883.
1169
Calculate the highest common divisor of 900384 and 16023648.
7968
What is the highest common divisor of 1092373 and 1?
1
Calculate the greatest common divisor of 689 and 3423959.
53
Calculate the greatest common factor of 2298 and 278184.
6
What is the highest common divisor of 64625 and 70829?
517
What is the highest common divisor of 387744 and 115584?
672
What is the highest common factor of 81754800 and 1200?
1200
What is the greatest common divisor of 215541 and 4563?
27
What is the highest common factor of 2224 and 111432686?
278
What is the highest common factor of 2680 and 3398830?
10
Calculate the greatest common divisor of 808552 and 45998.
422
What is the greatest common factor of 3452704 and 704?
32
What is the highest common factor of 91529870 and 102?
34
What is the greatest common divisor of 38866406 and 16604?
1186
What is the greatest common divisor of 1794 and 490866?
138
Calculate the greatest common factor of 12283 and 769356.
71
Calculate the greatest common factor of 92700 and 1176.
12
Calculate the greatest common factor of 50 and 7458650.
50
Calculate the greatest common divisor of 42562 and 14274.
26
Calculate the highest common divisor of 385225 and 9652.
19
Calculate the greatest common factor of 11885888 and 320.
64
Calculate the highest common factor of 181943599 and 2734.
1367
Calculate the highest common divisor of 2310 and 455301.
231
Calculate the greatest common factor of 28 and 1052346652.
28
What is the highest common divisor of 1551278198 and 1966?
1966
Calculate the highest common factor of 13266 and 4661190.
1206
What is the greatest common factor of 29315 and 245818001?
5863
What is the greatest common factor of 71890 and 29867530?
5530
Calculate the highest common factor of 50337 and 107019.
423
What is the greatest common factor of 24473048 and 6308?
332
Calculate the greatest common factor of 105388797 and 255.
51
Calculate the greatest common factor of 8101405 and 805.
115
What is the highest common divisor of 22518 and 4358762?
278
What is the greatest common divisor of 371414 and 2?
2
Calculate the greatest common factor of 49786 and 77234.
146
What is the greatest common factor of 13056 and 264942144?
3264
Calculate the greatest common divisor of 15004 and 6072748.
484
Calculate the greatest common factor of 1039140 and 46937.
251
What is the highest common factor of 3896048 and 1664?
208
What is the greatest common divisor of 17296279 and 91168?
2849
What is the highest common factor of 213269325 and 29180?
7295
Calculate the greatest common factor of 45806 and 131757.
37
What is the greatest common divisor of 100 and 2841425?
25
What is the highest common factor of 30 and 396940920?
30
Calculate the greatest common divisor of 293748 and 872098.
538
Calculate the highest common divisor of 3511080 and 6120.
360
What is the highest common factor of 351798 and 8772?
102
Calculate the highest common factor of 202 and 3227657.
101
Calculate the highest common factor of 13833 and 1296909.
261
What is the greatest common factor of 5732690 and 297840?
730
What is the highest common divisor of 4815 and 2434464?
963
What is the highest common divisor of 2784 and 23131589?
29
Calculate the highest common factor of 1456 and 24542224.
112
What is the greatest common divisor of 21850303 and 502?
251
What is the highest common divisor of 502536051 and 9?
9
What is the greatest common factor of 4431035 and 315?
35
What is the highest common factor of 951045 and 135?
15
Calculate the highest common divisor of 208 and 122427266.
26
Calculate the highest common factor of 429287453 and 218.
109
What is the highest common divisor of 1336421 and 459?
17
Calculate the greatest common divisor of 74245 and 177230.
2395
What is the highest common factor of 820736 and 2022986?
3206
What is the greatest common divisor of 376488 and 18755676?
2988
Calculate the greatest common divisor of 256 and 229359744.
128
What is the highest common factor of 290577 and 1436582?
959
Calculate the highest common divisor of 96 and 3989728.
32
What is the highest common divisor of 405817214 and 22?
22
Calculate the greatest common factor of 11762 and 480.
2
C
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*sqrt(88))/(1*sqrt(8)*1) + -2 + -3).
-24*sqrt(11) + 30
Simplify ((1*-1*sqrt(99))/(1*sqrt(27)/sqrt(3)) - (-3*sqrt(11) + 2 - (-3 + sqrt(704) + sqrt(704))))**2.
-180*sqrt(11) + 3589
Simplify -5*((-4*-3*(sqrt(20) + sqrt(20)*-3*-4 - sqrt(20)))/((sqrt(480) + sqrt(480) + -4*2*sqrt(480))/sqrt(12)))**2.
-1440
Simplify ((sqrt(1872) - (3*sqrt(1872)*4 + sqrt(1872))) + 4)**2 + (2 + sqrt(13) + -1 - (sqrt(13) + -6*-4*sqrt(13)))**2 + 0.
-1200*sqrt(13) + 277073
Simplify ((sqrt(14) + 1*sqrt(1134))/(-2*((sqrt(32) + sqrt(2) - sqrt(2)) + sqrt(2)) + sqrt(2)))**2 + -4 + sqrt(7)*-2*3 + -1*((sqrt(7) - -1*sqrt(7)) + -2).
-8*sqrt(7) + 538/81
Simplify 5 + (sqrt(588) + -1 + 4 + ((sqrt(144) + sqrt(144) + -1*sqrt(144))/sqrt(6) - sqrt(24))/sqrt(2) + -4)**2.
-28*sqrt(3) + 594
Simplify (4*sqrt(637) + 5 + sqrt(637))*-2 + ((sqrt(3744)*-2)/(-1*sqrt(72) - sqrt(72)))**2.
-70*sqrt(13) + 42
Simplify (sqrt(99)*-5 + 4 + 2*sqrt(11) - -6*(sqrt(891) + 1 + sqrt(891) + -4 + sqrt(891)))**2.
-4172*sqrt(11) + 244407
Simplify (-1*4*(sqrt(1224) + sqrt(1224)*-1 - sqrt(1224)))/(-3*sqrt(4)/((sqrt(16)*-1)/sqrt(8))).
8*sqrt(17)
Simplify (3*sqrt(187)*1)/(sqrt(33)/(sqrt(3) - sqrt(12))) - (-5*sqrt(850) + sqrt(34))/(sqrt(14)/sqrt(175)).
117*sqrt(17)
Simplify (sqrt(684)*3 + 3 - (sqrt(684) + -5*-3*sqrt(684))**2) + (-1 + (sqrt(684) + -3)**2 - (-5*(-4 + sqrt(684)))**2).
-191909 + 1182*sqrt(19)
Simplify -2 + ((-3 + (sqrt(68) + 1*(-1 + sqrt(68)) - (1 + sqrt(68) + 2 - sqrt(68)))**2)*2 + 2)*-4.
-2290 + 256*sqrt(17)
Simplify (-4*5*1*(sqrt(209)*-2 - sqrt(209)))/(5*(2*sqrt(176) + sqrt(176) - sqrt(176))*2).
3*sqrt(19)/4
Simplify (-5 + (-5*sqrt(108)*-5)/(sqrt(100) - -3*sqrt(100)*-4))**2.
150*sqrt(3)/11 + 3700/121
Simplify (2 + ((-2*sqrt(55))/sqrt(5))**2)*2 + 1 + 1 + (-4*(sqrt(704) - -2*sqrt(704)*-2))**2.
101470
Simplify (sqrt(154)/(sqrt(44)/sqrt(4)))/(-3*-3*sqrt(7)) - (-3*(sqrt(2) + 1) + 2 + -2*(-5 + sqrt(18))).
-9 + 82*sqrt(2)/9
Simplify (1*3*sqrt(52) - ((1*sqrt(156))/sqrt(3) - sqrt(52)))/((-5*sqrt(48))/(sqrt(48)*-4)).
24*sqrt(13)/5
Simplify -1 + ((2*sqrt(110)*-4)/sqrt(2))/((2*sqrt(88)*5)/sqrt(8)).
-4*sqrt(5)/5 - 1
Simplify ((-4*(sqrt(144)*2*-2)/sqrt(12))/(((sqrt(66)*-2 + sqrt(66))*-6)/(-1*sqrt(44))))**2.
512/9
Simplify (5*(sqrt(243) - (sqrt(243)*1 - sqrt(243))*-5)/sqrt(9))/((5*((sqrt(90) - sqrt(90)*1) + sqrt(90)))/(3*sqrt(10)*2)).
6*sqrt(3)
Simplify (-2*((-3 + sqrt(1700)*-1 - (2 + sqrt(1700))*-6) + 2)*-5*-3)**2.
990000*sqrt(17) + 38358900
Simplify ((-5*sqrt(76)*-2 - sqrt(76)) + -6*sqrt(76)*-2)/(sqrt(3600) - (sqrt(3600) + 1*sqrt(3600)) - sqrt(36)*-1*-3).
-7*sqrt(19)/13
Simplify (5 + (-3 + (1 + sqrt(4050) + -1 - (0 + (sqrt(4050) - sqrt(4050)*-2))))*-3)**2.
7560*sqrt(2) + 145996
Simplify ((sqrt(38) + 5*sqrt(114)/sqrt(3))/(-5*(sqrt(2) + sqrt(8))) + 4 + -5*sqrt(19) + 4 + 4*sqrt(19))*-5.
-40 + 7*sqrt(19)
Simplify -3 + -2*(1*-1*sqrt(98) + (-1 + sqrt(128) - (4 + sqrt(4)/sqrt(2)))).
7
Simplify 3*((((sqrt(136)*2)/sqrt(4))/(sqrt(2) - (sqrt(288) + sqrt(288)*-2)))**2*4 + -5) + -1.
-1888/169
Simplify -4*(sqrt(22)/sqrt(2) + 5)*-4 + (sqrt(77) + sqrt(77) + -1*sqrt(77)*2)/(sqrt(14)/(sqrt(8)/sqrt(4))).
16*sqrt(11) + 80
Simplify -6*((sqrt(114) - 4*sqrt(114)*-4) + sqrt(114) + (sqrt(114) - -1*-3*sqrt(114)))/(sqrt(216)*2 - sqrt(24)/(sqrt(4)*-2 + sqrt(4))).
-96*sqrt(19)/13
Simplify 2 + (sqrt(352)/(1*sqrt(392)))/(sqrt(256) + sqrt(256)*2 - sqrt(256) - sqrt(256)/sqrt(4)).
sqrt(11)/84 + 2
Simplify ((sqrt(99) + -3)*-6 + -3*sqrt(99)*-2 + 1 + (2 + sqrt(99))*-5 + 5)**2.
-420*sqrt(11) + 2671
Simplify ((sqrt(88) + sqrt(88)*2*-5)*-1 - 5*3*((sqrt(88) - -2*sqrt(88)) + sqrt(88)))/((sqrt(72) + 2*(sqrt(72)*2 + sqrt(72)) + sqrt(72))/(-2*sqrt(225))*6).
85*sqrt(11)/8
Simplify (-4 + 4*((sqrt(117) + (sqrt(117) - -1*(sqrt(117) + 2)**2) - sqrt(117)) + ((2*(2 + sqrt(117)) - sqrt(117)) + sqrt(117))**2))*-3.
-7248 - 756*sqrt(13)
Simplify -1 + (-5 + -2 + 4 + sqrt(245) + -2 + 5)**2 + -1.
243
Simplify (4*-6*sqrt(459))/((sqrt(18) - sqrt(126)/(sqrt(7)*-1))/sqrt(6)) + 5.
-36*sqrt(17) + 5
Simplify (-4 + (sqrt(200) - (sqrt(200) + 1 + -5)) + -1)**2 + (sqrt(200) - (4 + 0 + sqrt(200) - sqrt(200)))**2 + sqrt(200) + ((sqrt(200) + -1)*2)**2 + -2 + -3.
-150*sqrt(2) + 1016
Simplify ((sqrt(336) - (sqrt(336) + sqrt(336) + 2*sqrt(336))) + -1*sqrt(21)*2)/(1*sqrt(448)*-2 + 2*sqrt(448)*-6).
sqrt(3)/8
Simplify 2*(sqrt(63) + (2*sqrt(189))/sqrt(3) - (sqrt(126)*2 - sqrt(126))/sqrt(2))**2*-2 + -3.
-1011
Simplify (-6*sqrt(2700) - ((sqrt(189)*-5)/sqrt(7) + sqrt(27)))/(sqrt(108)/(sqrt(48)/sqrt(4)*-3)*-4).
-42*sqrt(3)
Simplify (-2 + -2*((sqrt(20) + -3 - sqrt(405)*-2) + -4 + (sqrt(180) - sqrt(180)*-2)))**2.
-1824*sqrt(5) + 29024
Simplify ((4 + -4*sqrt(700)*3*3 + 2)*-5 + 3)**2.
-97200*sqrt(7) + 22680729
Simplify ((sqrt(252) + (sqrt(252) - 2*sqrt(252)) - sqrt(196)/(sqrt(7) - (sqrt(7) - -3*sqrt(7)))) + 1 + 5 + sqrt(308)/(sqrt(11) - sqrt(539)))**2.
4*sqrt(7) + 331/9
Simplify 1*(-3 + 1 + 2*5*((sqrt(539)*-2 + sqrt(539))**2 + -2)).
5368
Simplify ((3*sqrt(504)*-1)/sqrt(9))/((sqrt(42)/sqrt(2)*-2)/(sqrt(3) - 3*sqrt(9)/sqrt(3))).
-6*sqrt(2)
Simplify (5*sqrt(42)*1)/(sqrt(30)/(sqrt(5)*2) + sqrt(6)) + (-1*sqrt(252) + 0 + sqrt(1008))**2.
10*sqrt(7)/3 + 252
Simplify (0 + 1 + (-6*-1*sqrt(1584) - (sqrt(1584)*2 + 5)) + 0 + 0)**2*-4.
-101440 + 1536*sqrt(11)
Simplify -3*-3*(sqrt(1216) - 1*(sqrt(1216) + (sqrt(1216) + 1 - sqrt(1216) - sqrt(1216))))**2 - (((sqrt(1216) - (sqrt(1216) + 0 - sqrt(1216))) + -3)*-3 + 1)**2.
-91 + 336*sqrt(19)
Simplify ((1*sqrt(95)*1 + (5*(sqrt(95) - sqrt(95)*3) - sqrt(95)))/(1*sqrt(45) - (sqrt(5) - 4*sqrt(405))))**2.
25/19
Simplify -5*-6*(1*(-1 + 2*(sqrt(2299) - (-1 + sqrt(2299)) - sqrt(2299))*-6 + 0)*1)**2.
-102960*sqrt(19) + 9936750
Simplify (-5*3*-4*sqrt(960))/(sqrt(96)/(sqrt(72)/(-3*sqrt(9)))*-6).
40*sqrt(5)/3
Simplify (5*(4 + (sqrt(14) + (1*sqrt(112))/sqrt(8))/(sqrt(128)*-5 - sqrt(128)))*5 + -5)**2.
-2375*sqrt(7)/12 + 5202775/576
Simplify (((2*sqrt(80))/sqrt(4))/(sqrt(4) - 5*((sqrt(20)/sqrt(5) - sqrt(4)) + sqrt(4))) - (4*(sqrt(120)/sqrt(4) - sqrt(30)))/sqrt(6)*-4)**2*3.
15/4
Simplify (3*(sqrt(972) + 0)**2*4 - (4 + (sqrt(972) + -1*sqrt(972) + -1 - sqrt(972)))**2) + -1.
108*sqrt(3) + 10682
Simplify (4 + (3*(-2 + 1 + sqrt(832)) - ((3*sqrt(91))/sqrt(7) - sqrt(52)*1)))**2.
46*sqrt(13) + 6878
Simplify (3 + -3*sqrt(125) - (-1*sqrt(125) + sqrt(125))*-4 - (3*(2 + sqrt(125) - sqrt(125) - sqrt(125)) - (-5 + sqrt(125) + 1)))**2.
-70*sqrt(5) + 174
Simplify 1 + (((1*sqrt(176) + sqrt(176))*-4)/(sqrt(968)*-2 + sqrt(8)))/(-2*sqrt(96)/sqrt(3)*-4).
sqrt(11)/84 + 1
Simplify ((-3*(0 + sqrt(98)) - sqrt(98))**2 - (2 + (sqrt(98) + (sqrt(98)*-1 - sqrt(98)) - sqrt(98))**2)) + -1 + (sqrt(98)*2 + -4 - sqrt(98)) + 1.
7*sqrt(2) + 1170
Simplify (sqrt(125)*-3*-3 - (-5 + -2 + sqrt(125))) + (((-3*((sqrt(125)*-2 - sqrt(125)) + sqrt(125)) - sqrt(125)) + 1)*-1)**2.
90*sqrt(5) + 3133
Simplify -2 + 3*(1 + sqrt(304))**2 + (2*-1*sqrt(228))/(sqrt(48)/(sqrt(4) + sqrt(64))).
14*sqrt(19) + 913
Simplify ((sqrt(24) - sqrt(72)/sqrt(3)*1)/(3*sqrt(16)/sqrt(2)) + -5*(4 + 3*(sqrt(75) + -2)))**2.
-1500*sqrt(3) + 16975
Simplify 6*(0 + sqrt(684)*1 + -4*(sqrt(684) + 0) + 6*6*(sqrt(684) - (((sqrt(684) - (sqrt(684) - 2*sqrt(684)))*2 - sqrt(684) - sqrt(684)) + sqrt(684))))**2.
23085000
Simplify sqrt(57)/sqrt(243) + sqrt(19) - (-1 + (sqrt(38)/sqrt(2))**2) - ((sqrt(171) - 2*sqrt(171))**2*6 - sqrt(171))*4.
-4122 + 118*sqrt(19)/9
Simplify ((3 + ((sqrt(363) - 4*(sqrt(363) + -1)) + (sqrt(363) - 2*sqrt(363)*-4))*3)*-3)**2.
53460*sqrt(3) + 1060533
Simplify ((2*(-4*sqrt(325)*2 + (0 + sqrt(325))*-2))**2 + -1)*-3.
-389997
Simplify (sqrt(171) - (-3 + sqrt(171))) + (-1 + -2 + sqrt(19))**2 - (sqrt(76) + (0 + -3 + sqrt(76))**2)*2.
-139 + 14*sqrt(19)
Simplify (1*(-3 + (sqrt(1008)*-1)**2 - (sqrt(252) - (sqrt(252)*-1 + -3))) + -3)*-1 + -1.
-1000 + 12*sqrt(7)
Simplify -4*((-4*(-1 + sqrt(1053)) - (sqrt(1053) - 2*sqrt(1053)*-4))**2*-2 + -4)*-3.
-4271400 + 22464*sqrt(13)
Simplify ((sqrt(33) - -3*sqrt(3993) - sqrt(33)) + (sqrt(66)/sqrt(2) + sqrt(33))*-2)/(sqrt(243) + 3*sqrt(243) + (sqrt(108) - sqrt(108)*-6)).
29*sqrt(11)/78
Simplify ((6*1*sqrt(136) + sqrt(136) + 4*sqrt(136)*2)*-4)/(-3*(sqrt(512) + -2*(sqrt(512) + 2*sqrt(512)))).
-sqrt(17)/2
Simplify 6*(-6*((sqrt(2816) - (sqrt(2816) + -3))**2 + 1) + (2*(sqrt(2816)*2 + sqrt(2816))**2 - sqrt(2816) - 1*sqrt(2816)*
|
{
"pile_set_name": "DM Mathematics"
}
|
8, -6594?
-6620
What comes next: 375084, 750167, 1125250, 1500333, 1875416, 2250499?
2625582
What is next in 3909, 7817, 11731, 15651, 19577?
23509
What comes next: -8036, -8032, -8028, -8024, -8020, -8016?
-8012
What is the next term in 614, 641, 682, 737?
806
What is the next term in 113, 179, 293, 455?
665
What is next in 115217, 115218, 115219?
115220
What is next in 51689, 51690, 51699, 51722, 51765?
51834
What is next in 1177, 2160, 3141, 4120?
5097
What is the next term in 265, 534, 809, 1090, 1377, 1670?
1969
What is the next term in -2882, -2856, -2830, -2804, -2778?
-2752
What is the next term in -1506, -1590, -1674, -1758, -1842, -1926?
-2010
What is next in 180792, 180789, 180784, 180777, 180768?
180757
What is next in -2246, -4584, -6912, -9224, -11514?
-13776
What is the next term in -5541, -5607, -5683, -5769?
-5865
What is next in 61930, 61938, 61948, 61960, 61974?
61990
What is next in 165246, 165248, 165248, 165246, 165242, 165236?
165228
What is next in 166836, 333665, 500490, 667311, 834128, 1000941, 1167750?
1334555
What is the next term in 53, 184, 399, 698, 1081, 1548?
2099
What is the next term in -2537624, -2537625, -2537626, -2537627?
-2537628
What is the next term in 217248, 217249, 217250, 217251, 217252?
217253
What is next in 2476, 4731, 6984, 9235, 11484, 13731?
15976
What is the next term in 25, 45, 69, 97, 129?
165
What comes next: -897, -1703, -2505, -3303?
-4097
What comes next: 29056, 28888, 28720?
28552
What comes next: 142, 877, 2110, 3841, 6070?
8797
What is the next term in -471, -571, -733, -957, -1243?
-1591
What is the next term in 638, 1199, 1760, 2321, 2882, 3443?
4004
What is the next term in -93, -267, -679, -1449, -2697, -4543?
-7107
What is next in 1393, 5551, 12465, 22123, 34513, 49623, 67441, 87955?
111153
What comes next: 20308, 40610, 60906, 81196, 101480?
121758
What is the next term in -167520, -167522, -167524, -167526, -167528?
-167530
What comes next: -222159, -444317, -666475, -888633, -1110791, -1332949?
-1555107
What is next in 9562, 19215, 28868, 38521?
48174
What is the next term in -309, -715, -1215, -1809, -2497, -3279, -4155?
-5125
What is the next term in -1544, -1407, -1170, -827, -372, 201, 898?
1725
What is the next term in -177, -628, -1077, -1524, -1969?
-2412
What is the next term in -74, -57, -56, -77, -126, -209?
-332
What is next in 3448, 6915, 10382, 13849, 17316?
20783
What is the next term in -108, -454, -1104, -2118, -3556, -5478, -7944, -11014?
-14748
What comes next: 699, 2589, 5733, 10125, 15759, 22629?
30729
What is next in 6094, 12183, 18272, 24361, 30450, 36539?
42628
What is next in -2629, -2708, -2793, -2884, -2981, -3084, -3193?
-3308
What is the next term in -713, -2168, -3621, -5072, -6521, -7968, -9413?
-10856
What comes next: -6390, -6383, -6376?
-6369
What is the next term in 43022, 86045, 129068, 172091?
215114
What comes next: -2577, -5140, -7701, -10260, -12817, -15372, -17925?
-20476
What is the next term in 1797, 7214, 16247, 28896, 45161, 65042?
88539
What comes next: 4337, 4345, 4353, 4361, 4369, 4377?
4385
What is the next term in -17890, -35917, -53944?
-71971
What is next in -372, -2941, -9892, -23415, -45700?
-78937
What comes next: -25802, -51588, -77374, -103160, -128946?
-154732
What is the next term in -698, -1147, -2362, -4727, -8626, -14443, -22562?
-33367
What is next in -3534351, -3534350, -3534349, -3534348, -3534347?
-3534346
What is the next term in 404413, 404409, 404405, 404401?
404397
What is next in -164928, -164929, -164930, -164931?
-164932
What comes next: 4840, 4943, 5046?
5149
What comes next: 4095167, 4095168, 4095169, 4095170, 4095171, 4095172?
4095173
What is the next term in 102, 119, 48, -111, -358?
-693
What is the next term in 42939, 171728, 386391, 686940, 1073387, 1545744, 2104023, 2748236?
3478395
What is next in -4635, -4635, -4633, -4629, -4623?
-4615
What is the next term in 11505, 46093, 103749, 184479, 288289, 415185, 565173?
738259
What is the next term in 300, 622, 1068, 1638, 2332, 3150?
4092
What is the next term in -427, -1759, -3997, -7141, -11191, -16147, -22009?
-28777
What comes next: -4561263, -4561266, -4561269, -4561272, -4561275?
-4561278
What comes next: -173, -296, -409, -512?
-605
What comes next: 2127, 1638, 823, -318, -1785?
-3578
What is the next term in -44, -70, -98, -128, -160, -194, -230?
-268
What is next in -4099, -16520, -37229, -66232, -103535, -149144, -203065?
-265304
What is next in -1685, -6674, -15005, -26690, -41741, -60170?
-81989
What is the next term in 59678, 119355, 179032, 238709?
298386
What is the next term in 907534, 907535, 907536?
907537
What is next in 3156, 3174, 3194, 3210, 3216, 3206, 3174, 3114?
3020
What comes next: -5897, -23582, -53049, -94292, -147305, -212082?
-288617
What comes next: 28516, 114085, 256700, 456361, 713068, 1026821, 1397620?
1825465
What is next in -89, -23, 41, 103, 163?
221
What is the next term in -94466, -94470, -94476, -94484, -94494, -94506?
-94520
What is the next term in 30984, 61985, 92986, 123987, 154988, 185989?
216990
What is next in -888463, -888472, -888499, -888550, -888631, -888748?
-888907
What comes next: 321785, 321794, 321827, 321896, 322013, 322190, 322439, 322772?
323201
What is next in 60047, 60048, 60049?
60050
What is next in -990, -1019, -1066, -1131?
-1214
What is next in 11340, 22648, 33956, 45264, 56572?
67880
What comes next: -35, 57, 149?
241
What comes next: -209, -394, -579, -764, -949, -1134?
-1319
What is next in 2021, 4071, 6121, 8171, 10221, 12271?
14321
What is next in -823, -2723, -5875, -10267, -15887?
-22723
What comes next: 471, 914, 1321, 1680, 1979, 2206?
2349
What is next in -1416, -2693, -3980, -5283, -6608?
-7961
What is the next term in -29216, -29209, -29188, -29147, -29080?
-28981
What is the next term in 393, 635, 877?
1119
What is the next term in 1247, 2225, 2931, 3365, 3527, 3417?
3035
What comes next: 40730, 81462, 122194?
162926
What is next in -2548, -2564, -2604, -2680, -2804, -2988, -3244, -3584?
-4020
What comes next: 27888, 55774, 83658, 111540, 139420, 167298, 195174?
223048
What is next in -348, -290, -194, -60, 112?
322
What is the next term in 50810, 101618, 152426, 203234, 254042, 304850?
355658
What is next in 5805, 5859, 5913, 5967, 6021, 6075?
6129
What is the next term in 676, 713, 808, 997, 1316, 1801, 2488, 3413?
4612
What is next in 637, 1319, 2019, 2743, 3497, 4287, 5119?
5999
What is next in 123, 541, 1247, 2241, 3523, 5093, 6951?
9097
What comes next: 15, -34, -177, -462, -937, -1650, -2649?
-3982
What is next in -1201, -4850, -10937, -19468, -30449?
-43886
What is the next term in 2249, 4495, 6737, 8975, 11209?
13439
What is next in 8779, 17440, 26101, 34762?
43423
What is next in 4, -45, -134, -263, -432?
-641
What comes next: 645127, 645128, 645129, 645130, 645131?
645132
What comes next: -242, -483, -758, -1085, -1482, -1967, -2558, -3273?
-4130
What is the next term in 660, 657, 650, 639, 624, 605?
582
What comes next: 7, 18, 83, 244, 543, 1022, 1723?
2688
What is next in 352, 1404, 3138, 5542, 8604, 12312, 16654?
21618
What is the next term in -6102, -6100, -6098, -6096, -6094?
-6092
What comes next: -111, -293, -535, -837, -1199?
-1621
What is the next term in -70548, -70539, -70522, -70497, -70464, -70423, -70374?
-70317
What is the next term in -161264, -322524, -483784, -645044?
-806304
What is the next term in 8205, 7891, 7577, 7263, 6949?
6635
What comes next: -1149, -1200, -1283, -1398, -1545?
-1724
What comes next: 465, 272, -49, -498?
-1075
What is next in -953, -2732, -4503, -6260, -7997, -9708, -11387, -13028?
-14625
What is the next term in 40117, 40118, 40119?
40120
What comes next: 72730, 145421, 218112?
290803
What comes next: -14537, -14548, -14561, -14576, -14593, -14612, -14633?
-14656
What comes next: 3478, 6598, 9718?
12838
What is the next term in -42, -17, 66, 237, 526?
963
What comes next: 2613, 5323, 8033, 10743, 13453, 16163?
18873
What is next in 12382, 12367, 12326, 12247, 12118, 11927, 11662, 11311?
10862
What is the next term in -624, -595, -546, -477, -388, -279, -150?
-1
What is the next term in 4391, 8801, 13227, 17669, 22127, 26601?
31091
What is the next term in -1497, -1439, -1381, -1323, -1265?
-1207
What is next in
|
{
"pile_set_name": "DM Mathematics"
}
|
*r*z**3 + 1913*g**3*k*r*z**2 - 8*g**2*k*r - g**2*z + 135*g*r*z**3 + 2*k*r*z - 4*k - 2*z**3 wrt g?
90*k*r*z**3 + 11478*k*r*z**2
What is the second derivative of -153148*l*v**3 - 475*l*v + 1642*l + 5*v**4 wrt v?
-918888*l*v + 60*v**2
What is the second derivative of 442785*t**2 + 43*t - 13912 wrt t?
885570
What is the third derivative of 944*h**3*o**4 + 2*h**3*o**2 + 208*h*o**4 - 532849*h*o**2 wrt o?
22656*h**3*o + 4992*h*o
Find the first derivative of -h**3*p - 2181*h**3 + 4*h**2 - 7*h*p - 13*p + 1 wrt p.
-h**3 - 7*h - 13
What is the second derivative of 5*o**5 - 5696*o**2 - 133131*o?
100*o**3 - 11392
What is the third derivative of 182*f**5 + 120*f**4 + 2*f**3 + 129*f**2 + 89?
10920*f**2 + 2880*f + 12
What is the second derivative of -407*n**2*z**2 - 39*n**2 + 16201*n*z**2 - n*z wrt n?
-814*z**2 - 78
Find the third derivative of r**4*t**3 - 2*r**4*t + 41384*r**4 - 18*r**2*t - r*t**3 + 4*r + 23*t**3 wrt r.
24*r*t**3 - 48*r*t + 993216*r
What is the derivative of 56445*j**4*o**3 + 7*j**2*o**3 + 126*o**3 - 3042*o**2 wrt j?
225780*j**3*o**3 + 14*j*o**3
Differentiate c**2*h + c**2 - 3*c*h + 7*c + 18773*h + 2 wrt c.
2*c*h + 2*c - 3*h + 7
Find the third derivative of 3623*j**6*q - j**4 - 10*j**3*q + 104*j**2*q - j**2 + 2*j - q - 10 wrt j.
434760*j**3*q - 24*j - 60*q
Find the third derivative of -24*a**3*i**3 - 9984*a**3*i - a**3 + 2*a**2*i**3 + 63*a**2*i**2 + a**2*i - 68*a*i + 3*i**3 wrt a.
-144*i**3 - 59904*i - 6
Find the third derivative of -65*c**3*l**3 - 67*c**3*l + c**2*l + 32*c*l**3 - 152*c wrt c.
-390*l**3 - 402*l
Find the second derivative of 2221943*b**4 + 4731281*b.
26663316*b**2
What is the second derivative of -3171314*y**3 + 292180*y?
-19027884*y
What is the second derivative of -8*j**4 + 9*j**3 + 33*j**2 + 334725*j?
-96*j**2 + 54*j + 66
Find the second derivative of 403002*h**4 - 257643*h.
4836024*h**2
What is the derivative of 193*j**3*r**2 - 768994*j**3 + 2*j**2 - 2*j - 959*r**4 wrt r?
386*j**3*r - 3836*r**3
Find the second derivative of 166284*g**5 + 8724*g + 1.
3325680*g**3
Find the first derivative of -1376228*s**4 - 1621048 wrt s.
-5504912*s**3
Find the second derivative of 4445*b**4 - 17*b**2 - 228384*b wrt b.
53340*b**2 - 34
Find the third derivative of -96600*z**5 - 2*z**4 - 2354*z**2 - 26*z + 2 wrt z.
-5796000*z**2 - 48*z
Differentiate 13*m*n**4 + 2*m*n**3 + 225804*m + 3493*n - 2 wrt n.
52*m*n**3 + 6*m*n**2 + 3493
What is the third derivative of 268647*a**2*f**3 + 1722*a**2*f**2 - 24*a**2*f wrt f?
1611882*a**2
Find the second derivative of -g**5*q - 309*g**2*q + 30569*g*q wrt g.
-20*g**3*q - 618*q
Differentiate 52907*l - 65436 with respect to l.
52907
What is the third derivative of 6*m**4 + 20046*m**3 - 18*m**2 + 18175 wrt m?
144*m + 120276
What is the third derivative of 51506*u*v**3 + u*v + u - 114*v**2 + 217*v + 3 wrt v?
309036*u
What is the derivative of o*p**2*s + 10*o*p**2 + o*p*s - 2166*p**2 + 23*p*s + 19*s wrt s?
o*p**2 + o*p + 23*p + 19
What is the third derivative of 8352*f**3*l**3 + 313*f**3*l**2 - 21*f**3*l - 6*f**2*l**3 wrt l?
50112*f**3 - 36*f**2
What is the derivative of -54474*a**2*n + 68*a**2 - 3*a + 5 wrt n?
-54474*a**2
What is the second derivative of -45*c**3 + 4839*c**2*x - 2*c*x + 32*c - 41*x - 170 wrt c?
-270*c + 9678*x
What is the derivative of -m**3 - 3*m**2 - 2953*m + 101930?
-3*m**2 - 6*m - 2953
What is the second derivative of -55*n**5 - 2*n**4 - 4*n**2 - 5*n - 142 wrt n?
-1100*n**3 - 24*n**2 - 8
Find the third derivative of -86601*u**3 + 8449*u**2 + u wrt u.
-519606
Find the first derivative of 2318*c**2*g*j + 132792*c**2*g + 3*g*j wrt j.
2318*c**2*g + 3*g
What is the derivative of -5486*q**2 - 4*q + 6509?
-10972*q - 4
Find the second derivative of 3*i**2*p**4 + 94*i**2*p - 37*i*p - i + 1086*p**4 wrt p.
36*i**2*p**2 + 13032*p**2
What is the second derivative of -15505*b**2*i*k**2 + 4*b**2*i*k - 3*b**2*k**2 - 9*b**2*k + 295*i - 2*k**2 wrt k?
-31010*b**2*i - 6*b**2 - 4
What is the third derivative of -2*a**4*w + 350221*a**3*w**2 - 3*a**2*w + 499*a*w**2 - 5*a - 2*w**2 wrt a?
-48*a*w + 2101326*w**2
What is the third derivative of 59427*b*d**3 - b*d**2 - 6*b*d + d**3 - 202*d**2 - 94 wrt d?
356562*b + 6
What is the third derivative of -597*l**6 + 154*l**2 + 15*l + 2?
-71640*l**3
What is the second derivative of 3*l**2*t**3 - 15830*l**2*t + 52*t**3 + 423*t**2 + 7*t wrt t?
18*l**2*t + 312*t + 846
Find the second derivative of -17*j**4 - 10901*j**2 + j + 64484 wrt j.
-204*j**2 - 21802
What is the third derivative of 1064*i**3*s**2 - i**3*s - 14*i**3 - 7*i**2*s - 4*i*s**2 + 301*i*s wrt i?
6384*s**2 - 6*s - 84
Find the second derivative of -303430*v**3 - 4175*v - 1 wrt v.
-1820580*v
Find the third derivative of -n**2*t**3 + 3442*n**2 + 4*n*t**3 + 7*n*t**2 - 18873*t**3 wrt t.
-6*n**2 + 24*n - 113238
What is the third derivative of -59*r**2*v**5 - 12*r**2*v**2 + 5*r**2 + 194*r*v**2 + 796*v**6 wrt v?
-3540*r**2*v**2 + 95520*v**3
What is the second derivative of 32778*c**2*k**2 + 50346*c**2*k + c*k**2 wrt k?
65556*c**2 + 2*c
Find the second derivative of 86402*j**2 - 80806*j wrt j.
172804
What is the second derivative of j**3*n**2 + 102876*j**3 + j**2*n**2 - 16304*j*n**2 - 2*n**2 + 5*n wrt n?
2*j**3 + 2*j**2 - 32608*j - 4
Differentiate -133999*c + 334743 wrt c.
-133999
What is the third derivative of 208104*s**6 - 2*s**2 + 299*s + 149 wrt s?
24972480*s**3
Find the second derivative of -5452*j**3 + 39*j**2 + 37794*j wrt j.
-32712*j + 78
Find the second derivative of 76557*q**3 + 2*q**2 + 39*q - 628 wrt q.
459342*q + 4
What is the third derivative of -139*n**4 - 66*n**3 - 3*n**2 + 521*n + 1 wrt n?
-3336*n - 396
Find the second derivative of 12293*x**2 + 9*x + 2533 wrt x.
24586
Find the third derivative of -116*i*l**3 - 5*i*l**2 - i*l - 58*l**5 + 357*l**2 - 1 wrt l.
-696*i - 3480*l**2
What is the third derivative of k**5 + 4281*k**3 - 53*k**2 - 2493 wrt k?
60*k**2 + 25686
Find the third derivative of -59549*o**5 - 87*o**2 + 76*o - 1 wrt o.
-3572940*o**2
What is the second derivative of 1086414*v**2 + 17*v - 6166?
2172828
What is the third derivative of -5470*a**2*i*k**3 - 2*a**2*i*z - 20*a**2*k + 3*a*k**2*z + 63*i*k**3*z - i*z - 7*k**2*z wrt k?
-32820*a**2*i + 378*i*z
What is the second derivative of -3*b**2*g**3*z - b**2*g*z**3 + 4944*b**2*g + 2*b*g**3*z**2 - 65*b*g*z**3 + 5*b*g*z + 3*g**3*z wrt b?
-6*g**3*z - 2*g*z**3 + 9888*g
Differentiate 19*n*y**3 + 8875*n - 121*y**3 + 2*y**2 + 436*y with respect to n.
19*y**3 + 8875
What is the first derivative of -71*c**4 + 17*c**3 + 3*c**2 + 165799 wrt c?
-284*c**3 + 51*c**2 + 6*c
Find the third derivative of -2*u**4 - 1305*u**3 - 66737*u**2.
-48*u - 7830
What is the second derivative of -732726*z**4 - 395221*z wrt z?
-8792712*z**2
Differentiate 3622*v**4 - 6*v**2 - 78486.
14488*v**3 - 12*v
Find the second derivative of -277961*x**3 + 339269*x wrt x.
-1667766*x
What is the third derivative of 293279*n**4 + 8*n**2 + 14830*n wrt n?
7038696*n
What is the second derivative of -2*d**3*u**2 + 24*d**3 + 461*d**2*u**2 - 21604*d*u**2 wrt d?
-12*d*u**2 + 144*d + 922*u**2
Find the third derivative of 6*p**5 - 4335*p**4 - 54437*p**2 wrt p.
360*p**2 - 104040*p
Find the second derivative of 2145*n**2*v*y**2 - 3834*n**2*v - 9*n**2*y**2 + n*v*y**2 - 11*n*v*y + 4*v*y wrt y.
4290*n**2*v - 18*n**2 + 2*n*v
Find the second derivative of -53636*c*u**2 + 916*c*u + 6*c - 2*u**2 - 2 wrt u.
-107272*c - 4
What is the second derivative of -45997*y**4 + 213265*y?
-551964*y**2
What is the second derivative of -2459054*i**2*x - 324*i - 355*x wrt i?
-4918108*x
What is the third derivative of -69*b**2*q**4 + b**2*q**2 - 17896*b*k*q**2 + 11*b*q**4 + 5*k*q**3 + 2*k*q**2 wrt q?
-1656*b**2*q + 264*b*q + 30*k
What is the derivative of i**2*m**2 - 44802*i**2*m*u + 2*i**2*m + 2*m**2*u - 30490*m**2 wrt u?
-44802*i**2*m + 2*m**2
What is the first derivative of -1113583*o**4 + 1541357?
-4454332*o**3
Differentiate 4*u**2*y + 3*u**2 - 556*u*y**4 + 29*y**3 + 66932 with respect to y.
4*u**2 - 2224*u*y**3 + 87*y**2
What is the second derivative of -k**5*y + 6091*k**5 + 322*k - 4*y wrt k?
-20*k**3*y + 121820*k**3
Find the third derivative of 2*h**3*j*t + h**3*j - 4265*h**3*t - 2*h**3 + 47*h**2*t - 7*h**2 + h*j + 9*h*t + j*t + 3*t wrt h.
12*j*t + 6*j - 25590*t - 12
What is the third derivative of -3*m**4*w**2 - 13*m**4
|
{
"pile_set_name": "DM Mathematics"
}
|
y
c
Let x = 3 + -3.2. Let o = -43 + 46. What is the third smallest value in 1/4, x, o?
o
Let k = -7.6 + 7.52. What is the third smallest value in 2/5, 1/6, -3/2, k?
1/6
Let y = -1 - -0.6. Let x = -85/12 - -827/132. Let w = x - -3/44. What is the smallest value in -0.1, w, y?
w
Let o(z) = -2*z - 16. Let u(l) = 1. Let v(m) = -o(m) - 5*u(m). Let f be v(-8). Which is the biggest value? (a) -1 (b) -2 (c) f
a
Let a = 33 + -30. What is the third smallest value in a, -1, -2/9?
a
Let w = 8.2 + -0.2. Let f = -8.1 + w. Which is the third biggest value? (a) 0 (b) f (c) 4
b
Let m be (7 - 1)*4/3. Suppose -4*j + 4 + m = 0. Let y be 2/5 + (-12)/5. Which is the smallest value? (a) j (b) -0.1 (c) y
c
Let a = -51.8 - -52. Let u = 4 + -3. What is the third smallest value in a, 4, u?
4
Let p = 71.79 - 75.7. Let j = 0.09 - p. Let t = 0 + j. What is the smallest value in -0.4, -1, t?
-1
Let g = -0.23 + 0.03. Let z = -3.82 - -0.42. Let p = 0.6 - z. Which is the second biggest value? (a) g (b) p (c) 0.3
c
Let p = 38.5 - 35. Let b = -2.96 - 0.04. Let y = b + p. What is the second biggest value in 2, -4/7, y?
y
Let g = -25 + 25.2. Which is the third biggest value? (a) 8 (b) g (c) -1
c
Let u = -0.1 - 0.1. Let h = -0.09 - 0.61. What is the smallest value in u, -0.5, h?
h
Let q = 86824 - 2865563/33. Let v be 1/(-1) + (-31)/3. Let u = v - q. Which is the smallest value? (a) -3 (b) -1 (c) u
a
Let p = -1.2 + 1. Let r be (-1 + -3)*(-5)/(-4 + 9). What is the third smallest value in p, -2, r?
r
Suppose 0 = 6*z - 2*z - 24. Let i be 20/(-52)*z/15. What is the third smallest value in -4, i, 2?
2
Let r = 7.4 + 2.6. Let t = 5 - r. Let l = -191.8 + 192. Which is the biggest value? (a) l (b) t (c) 3
c
Let z = 15 + -14.9. Let q = -1 - 2. Which is the third biggest value? (a) z (b) -4 (c) q
b
Let p = -71 + 68. Which is the fourth biggest value? (a) -2 (b) -1/3 (c) p (d) 2/3
c
Let d be 1/(-6)*76/(-1). Let o be (-26)/91 - (-2474)/(-210). Let q = d + o. Which is the second biggest value? (a) 4 (b) -2 (c) q
c
Let f = -0.4 + 5.4. Let j = -7 - -17. Let z = f - j. Which is the second biggest value? (a) 3/2 (b) z (c) -5/4
c
Let q = -7414/17 + 436. Let f = 0.1 + 0.1. What is the smallest value in 4, f, q?
q
Let m be 2509/(-728) + 2/1. Let u = -15/8 - m. Which is the second smallest value? (a) u (b) -7/2 (c) 4
a
Let m = 6 - 4. Let q = 8.3 - -2.7. Let u = 10 - q. What is the biggest value in u, -2/3, m?
m
Let a be (-2 - (3 + -3)) + 6. Let r = a - 4. What is the second biggest value in -5, -3, r?
-3
Let t be -1*(2*45092)/(-2). Let j = t + -583815/13. Let z = j - 183. What is the smallest value in z, -1/3, -2/5?
-2/5
Let n = -12 - -14. Let v = 0 + -1. Let h = -4 - v. What is the second smallest value in h, n, -0.2?
-0.2
Let r be (-10)/(-5)*(-11)/(-2). Let k = r - 3. Let o be k/(-20) + 18/70. Which is the second biggest value? (a) 3 (b) o (c) 5
a
Let n = 0.38 - 0.18. Which is the second smallest value? (a) n (b) 3/4 (c) 2
b
Suppose 4 = 16*m - 18*m. Which is the second smallest value? (a) 4/9 (b) m (c) -4
b
Let z = 3.03 + -3. Let x = -2.03 + z. Let j = x - -1.8. Which is the second biggest value? (a) j (b) -3 (c) 3/7
a
Let y be 36/(-16)*2/6. What is the biggest value in -1/7, y, -0.2?
-1/7
Let h = 11 - 11.1. What is the biggest value in -0.22, h, -5?
h
Let m = -2.82 - -1.19. Let z = 0.33 + m. Let h = -1 - z. Which is the third biggest value? (a) 4 (b) 1/8 (c) h
b
Let y = -0.2 + 0.19. Which is the second biggest value? (a) y (b) -0.3 (c) 3/7
a
Let s = -2.8 - 22.2. Let w = s - -25.3. Which is the second smallest value? (a) -1/3 (b) 5 (c) w
c
Let q = -5.05 + 5. Which is the second biggest value? (a) 1/3 (b) 0.2 (c) q
b
Let t = 19 - 18. Suppose t = -s + 4*n, 2*n = 4*s - 12 + 2. Which is the third biggest value? (a) 0.3 (b) s (c) -13
c
Let n = -21/4 + 59/12. Which is the smallest value? (a) 2/5 (b) n (c) -0.2 (d) 0
b
Let q = -0.1 - 0.9. Let u be 2/(-8) - (-19)/44. Let p = 19 + -19.3. Which is the second smallest value? (a) u (b) q (c) p
c
Let j = -0.63 - -0.63. What is the biggest value in -1/6, 0.03, j, -5?
0.03
Let a be (-1)/45 - 2/10. Let r(b) = b**2 + 15*b + 15. Let p be r(-14). What is the third biggest value in p, -3, a?
-3
Suppose 5 = 3*r + 2*t - 2, -4*r = -t - 2. What is the second biggest value in r, -4, 0.2?
0.2
Let w = 8.05 - 8. Which is the third biggest value? (a) 1 (b) w (c) 4
b
Let j(h) = -h**2 - 9*h + 4. Let i be j(-9). Let t be i/(1*(3 + -5)). Which is the second biggest value? (a) t (b) 2/5 (c) 1/9
c
Let g = -21 + 21.4. Which is the second biggest value? (a) -3 (b) g (c) 0
c
Let d be ((-16)/40)/((-8)/10). What is the second smallest value in 3, -0.4, d?
d
Let a = 0.01 + -2.01. Let d = 5 - 7. Let w be d/1 - 80/(-44). What is the biggest value in a, -3/2, w?
w
Let d = 2.5 + -2.5. What is the second smallest value in -0.5, 0.3, d?
d
Let y = 0.9 + -1. What is the second smallest value in 4, -2, y?
y
Let z = 0.06 - 0.06. Let f = -3 - -5. Which is the third smallest value? (a) 1/2 (b) f (c) z
b
Let f = -7 + 7.05. What is the third biggest value in -1/2, 2/9, f?
-1/2
Let y(j) = -2*j**2 - 6*j + 4. Let w be y(-3). Which is the biggest value? (a) -0.4 (b) -2 (c) w
c
Let u = -84 - -83.9. Let l = -2.5 - -3. What is the biggest value in -6, u, l?
l
Let f be 1/10*-5*4*1. Which is the second smallest value? (a) f (b) 4 (c) -1/4 (d) -3
a
Let h = 2330/11 - 212. Let u = -1.5 - -2. Let j = u - 0.3. Which is the biggest value? (a) h (b) j (c) 1
c
Let t = -5.07 + 0.07. Let m = 1/15 - -23/105. Let j(v) = -v + 2. Let n be j(-1). Which is the third smallest value? (a) t (b) m (c) n
c
Let v = -711.6 + 712. Let u = 9 - 13. Which is the smallest value? (a) -1 (b) u (c) v
b
Let q = 18 + -17. What is the third smallest value in q, 4, -2?
4
Let u = -29 + 28.74. Let h = u + -0.04. Which is the second smallest value? (a) -4 (b) 0.2 (c) h
c
Let i = -0.02 + 0.32. Let d = -52/285 + -1/57. What is the smallest value in d, 2, i?
d
Let s = 59 - 58.9. What is the biggest value in -3, s, 2?
2
Let r = -402062 - -6036373/15. Let x = 788 + -1151. Let j = x + r. Which is the third smallest value? (a) j (b) 0.2 (c) -2/9
b
Suppose -5*g = q - 7*g - 2, -3*q + 4*g = 0. Which is the third smallest value? (a) q (b) 0.4 (c) 4 (d) -0.2
b
Let n = -5 + 3. Let p = 20 + -16. What is the second biggest value in n, -0.1, p?
-0.1
Let s = -75.2 + 75. What is the fourth biggest value in 0.4, 5, -0.4, s?
-0.4
Let d = 12 + -7. Let v = -31 + 34. What is the biggest value in v, -1/8, d?
d
Let v = -0.34 + 1.84. Let k = 0.5 + v. Let f = -1 - -5. What is the third biggest value in k, -3/4, f?
-3/4
Let j = 3.6 + -4. Let t be 0 + (6/(-30) - 26/(-5)). Which is the second biggest value? (a) 2/3 (b) t (c) j
a
Let t = -4 + 4. Which is the third smallest value? (a) 0.3 (b) t (c) -0.1
a
Let d = -0.05 - -0.45. Let s = 0.65 + -0.05. What is the second biggest value in d, s, 4?
s
Let c = 1 - 8. Let a(g) = -g**3 - 6*g**2 + 7*g + 3. Let i be a(c). What is the biggest value in -0.5, 0.1, i?
i
Let i(m) = -m**2 + m + 1. Let r be i(-1). What is the biggest value in 1, r, 2/9?
1
Suppose 3*o = -o - 80. Let r be (-2)/(-9) - o/(-9). Let p(z) = 2*z**3 + 4*z**2 + 3*z. Let f be p(r). Which is the biggest value? (a) -2/15 (b) 1 (c) f
b
Suppose -4 = 2*s - g - 1, -2*g - 1 = 3*s. Let k = 6 + s. What is the smallest value in -1/7, k, -3/2?
-3/2
Let z be 6/(-8) + 2/2. Let n = -0.2 + 9.2. Let l = n - 9.3. Which is the smallest value? (a) l (b) z (c) 4
a
Let f = 10/7 - 67/42. What is the smallest value in -4/5, f, 2/7?
-4/5
Suppose 6*k + 5*g + 10 = 4*k, -4*g + 10 = -2*k. Let s = -4828/15 + 322. What is the biggest value in s, k, -2?
s
Let s = 7 - 6. Let y = 3 + s. What is the second biggest value in 2, -1, y?
2
Let z = -25 - -26. Which is the biggest value? (a) -2 (b) z (c) 2
c
Let l = 35.06 - 35. What is the third smallest value in 1, l, -0.2?
1
Let h = -49/38 + -4/19. What is the smallest value in h, -0.3, -4?
-4
Let l(g) = -g**2 + 6*g + 2. Suppose 2*n + n - 30 = -5*m, 0 = 3*n. Let t be l(m). Let j = -278/9 - -94/3. What is the second smallest value in t, j, 0.5?
0.5
Let k = -5 - 0. Suppose 2*x = 7*l - 2*l - 13, 11 = -4*x - 5*l. What is the smallest value in
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4*t**4 + 2*t**4. Let i(g) = -7*g**4 + 5*g - 7. Let y(l) = 5*b(l) + 2*i(l). What is the first derivative of y(h) wrt h?
4*h**3
Suppose 2*t = -t. Suppose -2*z = g + z - 8, -3*g + 4*z - 2 = t. What is the second derivative of 2*s**3 + g*s - 2*s**3 - 2*s**4 wrt s?
-24*s**2
Let j(r) be the first derivative of 6*r**5/5 + 3*r - 1. Differentiate j(f) with respect to f.
24*f**3
Suppose a + 4*d - 6 = 3*d, -a + 18 = 4*d. Let i(u) = 11*u**2 + 24. Let w(q) = -3*q**2 - 6. Let t(z) = a*i(z) + 9*w(z). Find the first derivative of t(j) wrt j.
-10*j
Let c(f) = -25*f**3 - 6*f**2 - f - 6. Let q(r) = -r**3 - r**2 - 1. Let k(m) = -c(m) + 6*q(m). What is the second derivative of k(p) wrt p?
114*p
Let o(i) = -i - 9. Let b be o(-13). Differentiate -4 + b + p**4 - 1 wrt p.
4*p**3
What is the third derivative of -125*p**3 + 125*p**3 + p**2 + 4*p**4 wrt p?
96*p
Let q(b) be the first derivative of -4*b**3/3 - 6*b - 1. Find the first derivative of q(s) wrt s.
-8*s
Let t be (10/(-4))/((-1)/(-2)). Let n = t + 8. Find the first derivative of n*m**2 - 7*m - 2 + 7*m wrt m.
6*m
Suppose 0 = -4*u + 2*u + 8. Suppose a - 13 = 3*q, -2*a + 6 + 12 = -u*q. What is the second derivative of a + 1 + 2*g**3 + 3*g - 2 wrt g?
12*g
Find the third derivative of 11*v + 8*v - 20*v**2 - 2*v**5 - 19*v wrt v.
-120*v**2
Suppose 3*s = -2*s + 3*n - 15, -5*s - 15 = -2*n. Let r be (4 - 1)/(s/(-4)). What is the third derivative of -2*p**r + p**2 - 2*p - p**4 + 2*p wrt p?
-72*p
Suppose 5*u = -5*j + 35, -3*u + j + 18 = u. Differentiate -7*z**3 + 5*z**3 - z**3 - 7 + u*z**3 with respect to z.
6*z**2
Let n(f) be the second derivative of -f**6/30 - 5*f**3/2 - 23*f. Find the second derivative of n(j) wrt j.
-12*j**2
Suppose -2*v = 4*p + 10, 5*p + 8 = -3*v - v. Let u(f) = -f**3 - 5*f**2 - 5*f - 1. Let d be u(p). Find the first derivative of 1 - 7*z - z**d + 7*z wrt z.
-3*z**2
Let g be 6/10 + (-34)/(-10). Find the third derivative of 0*y**2 + g*y**4 - 9*y**4 - 2*y**2 wrt y.
-120*y
Let b = 8 + -6. What is the third derivative of -3*t**3 - 3*t**b + t**3 + 7*t**2 wrt t?
-12
Let n(s) be the first derivative of 5*s**4/2 - s**3/3 - 7. What is the third derivative of n(x) wrt x?
60
Let f(b) = -6*b**4 - 6*b**3 + 3*b + 6. Let j(k) = -k**5 - 13*k**4 - 13*k**3 + 7*k + 13. Let o(x) = -13*f(x) + 6*j(x). Find the second derivative of o(s) wrt s.
-120*s**3
Let f(p) be the third derivative of 0*p**3 - 1/30*p**5 + 0 + 1/6*p**4 + p**2 + 0*p. Find the second derivative of f(j) wrt j.
-4
Let k(y) be the first derivative of -y**2 + 5*y - 5. What is the derivative of k(t) wrt t?
-2
Let v(r) be the second derivative of 0*r**5 + 0 + r + 0*r**3 + 1/30*r**6 + 0*r**4 - 2*r**2. What is the derivative of v(i) wrt i?
4*i**3
Suppose -9 = 2*b - 3*b + 3*d, d = 4*b - 36. Suppose 0*f + f = 2*o - b, -21 = 2*o + 5*f. Differentiate o*n**2 + 17*n - 4 - 17*n with respect to n.
4*n
What is the second derivative of -14*x - 2*x**3 + x**3 + 14*x**3 wrt x?
78*x
Let p(n) = -3*n**4 + 2*n**2 + 3*n. Let o(q) = q**6 + q**4 - q**2 - q. Let r(b) = -6*o(b) - 2*p(b). What is the third derivative of r(d) wrt d?
-720*d**3
Suppose 2*g + 6 - 30 = 0. Suppose -3 + g = 3*d. Find the third derivative of 2*c**2 - c**2 + 2*c**d - 5*c**3 + c**2 wrt c.
-18
Let d be 6 - (6 + -4 + 2). What is the first derivative of -77*t**d + 2 + 77*t**2 - 11*t**3 wrt t?
-33*t**2
Find the third derivative of 10*v**4 - 3*v**2 - 2*v**4 + 0*v**4 wrt v.
192*v
Let l(z) be the third derivative of 13*z**9/168 + z**5/30 - z**4/12 - 50*z**2. What is the third derivative of l(n) wrt n?
4680*n**3
Let w(o) = 13*o**3 + 11*o**2 + 7*o - 11. Let p(j) = -7*j**3 - 6*j**2 - 4*j + 6. Let r(a) = 11*p(a) + 6*w(a). Find the second derivative of r(n) wrt n.
6*n
Let t(y) be the second derivative of -11*y**7/42 - 5*y**4/6 - y**3/6 + 14*y. Find the third derivative of t(n) wrt n.
-660*n**2
Let f(q) be the third derivative of 0 - 1/30*q**5 - 1/168*q**8 + 0*q**3 + 0*q**4 + 0*q**7 + 0*q**6 + 0*q - 3*q**2. Find the third derivative of f(t) wrt t.
-120*t**2
Let z(v) be the second derivative of -v**6/20 - v**4/8 + v**2 - 5*v. Let r(m) be the first derivative of z(m). What is the second derivative of r(s) wrt s?
-36*s
Let j(p) = -4*p**4 + 2*p**3 + 9*p**2 - 2*p. Let z(l) = l**3 - l**2 - l. Let x(q) = -j(q) + 2*z(q). Find the third derivative of x(i) wrt i.
96*i
Let a(r) = 5*r**2 - r - 4. Let i(q) = -q**2 + q + 1. Let d(w) = -a(w) - 4*i(w). Find the second derivative of d(p) wrt p.
-2
Let l(v) be the third derivative of -1/6*v**3 + 0*v + 0*v**5 + 0 - v**2 + 1/40*v**6 + 0*v**4. What is the derivative of l(s) wrt s?
9*s**2
Let t(f) be the third derivative of 0*f**3 + 0*f**4 - 2*f**2 - 1/42*f**7 - 1/60*f**5 + 0 + 0*f + 0*f**6. Find the third derivative of t(l) wrt l.
-120*l
Let f(w) = 9*w**3 - 6*w**2 + 7*w - 7. Let c(r) = 4*r**3 - 3*r**2 + 4*r - 4. Let b(n) = 7*c(n) - 4*f(n). What is the third derivative of b(s) wrt s?
-48
Let u be (6/(-5))/(3/(-10)). Find the first derivative of 4 + 0 + 2*j**4 + 4*j**u - 2 wrt j.
24*j**3
Suppose -12 - 9 = -3*u. Find the second derivative of -u*d**3 + 3*d + 6*d**3 + 0*d wrt d.
-6*d
What is the first derivative of 2 - 6*g**2 - 14 - 5*g**2 + 5*g**2 wrt g?
-12*g
Let b(q) be the third derivative of q**7/840 + q**5/24 + q**3/6 - 7*q**2. Let z(d) be the first derivative of b(d). What is the second derivative of z(o) wrt o?
6*o
Let g = -1 - -2. Suppose 6 - 15 = -3*a. What is the derivative of -g - m**a - 1 + 4*m**3 wrt m?
9*m**2
Find the second derivative of -7*h**5 - 11*h**4 - h + 8*h**4 + 3*h**4 wrt h.
-140*h**3
Let a(p) = p**2 - p. Let c(j) = 4*j**2 + 4*j. Let q(n) = a(n) - c(n). What is the second derivative of q(g) wrt g?
-6
Let w(l) be the third derivative of -7*l**7/30 - 19*l**3/6 + 22*l**2. Differentiate w(p) wrt p.
-196*p**3
Suppose 3*z = 2*z - 0*z. Let f(a) be the second derivative of 0*a**3 + z - 1/12*a**4 - 3*a + a**2. What is the derivative of f(n) wrt n?
-2*n
Let u be (0 + 2)*3/2. Let y(g) = 2*g**3 - 3*g**2 - 1. Let w(h) = 2*h**3 - 4*h**2 - 2. Let i(l) = u*w(l) - 4*y(l). What is the first derivative of i(s) wrt s?
-6*s**2
Let w(z) be the first derivative of -z**5/30 - 5*z**4/24 - z**3/3 + 4. Let h(a) be the third derivative of w(a). Differentiate h(s) with respect to s.
-4
Let j(n) be the first derivative of -n**7/210 - 2*n**3/3 + 3*n**2/2 + 2. Let m(d) be the second derivative of j(d). Differentiate m(i) with respect to i.
-4*i**3
Let i(z) = -2*z**4 - 2*z**3 + 2*z**2 - 2*z + 9. Let d(a) = -a**4 + a**3 - a**2 + a. Let o(h) = -2*d(h) - i(h). Differentiate o(y) with respect to y.
16*y**3
Suppose -b - 2*b + 9 = 0. Let x = b - 2. What is the derivative of 2*r + 0*r - x - 3 + 6 wrt r?
2
Let x = -7 + 9. Let f(c) = c + 3. Let p(d) = 3*d + 7. Let v(j) = x*p(j) - 5*f(j). Differentiate v(w) wrt w.
1
Suppose 265 = 5*g + v, 0 = 3*v + 6 + 9. What is the second derivative of 0*m**3 + g*m - 3*m**3 - 46*m wrt m?
-18*m
Differentiate -d**2 - 7 - 5*d**2 + d**2 wrt d.
-10*d
Let o = -6 + 10. What is the second derivative of -5*t**3 + 4*t**2 - 4*t**2 - o*t + 10*t**3 wrt t?
30*t
Suppose -4*k - 3 = 3*p, 2*p + 0 = -2. Differentiate 2*n**2 + n**2 + 0*n**2 + k*n**2 + 2 wrt n.
6*n
Let a(u) = -6*u**5 - 6. Let l(q) = -q**2 + 1. Let y(b) = a(b) + 6*l(b). What is the third derivative of y(z) wrt z?
-360*z**2
Let u(t) be the second derivative of -3*t + 0*t**3 + 1/12*t**4 + 0*t**2 + 0 + 3/20*t**5. What is the third derivative of u(o) wrt o?
18
Let q(s) = -9*s**3 - s + 5. Let c(a) = 5*a**3 + a - 2. Let g(w) = 5*c(w) + 2*q(w). Find the second derivative of g(x) wrt x.
42*x
Let g(c) be the first derivative of c + 2 - 1/2*c**4 + 0*c**2 + 0*c**3. Differentiate g(o) with respect to o.
-6*o**2
Let c(g) = -g**2 + 4*g + 3. Let t = 10 - 6. Let k be c(t). What is the second derivative of v**3 - k*v**2 - v**2 + v + 4*v**2 wrt v?
6*v
Let l be ((-5)/(-2))/(3/6). Suppose -2*c + 18 = 4*r, -4*c + 30 = c + l*r. What is the derivative of 3 + 6*g**3 - 2 - 4*g**c wrt g?
6*g**2
Let q(p) = -2*p - 7. Let b be q(-5). What is the derivative of 3*l**3 + 2*l**3 + 3 + l**3 - 3*l**b wrt l?
9*l**2
Let j = 4 - 1. Let o be j*((-2)/3)/(-1). Find the second derivative of n**5 - 2*n + o*n + n wrt n.
20*n**3
Let n(c) = 4*c**2 + c. Suppose -5 = 6*v - v. Let u be n(v). Find the second derivative of -2*b**5 - 7*b**3 + 7*b**u - 3*b wrt b.
-40*b**3
Let q(a) be t
|
{
"pile_set_name": "DM Mathematics"
}
|
rs picked without replacement from eessshpppsss.
1/330
Calculate prob of sequence kbmi when four letters picked without replacement from kymlkibbmymkybiy.
9/7280
Three letters picked without replacement from nnnnnnmnnnnnnnmnnn. Give prob of sequence mnm.
1/153
Three letters picked without replacement from {k: 2, j: 1}. What is prob of sequence jkk?
1/3
Two letters picked without replacement from wffwwwf. Give prob of sequence ww.
2/7
What is prob of sequence io when two letters picked without replacement from {d: 4, i: 4, o: 1, n: 6}?
2/105
Calculate prob of sequence go when two letters picked without replacement from ogkohsk.
1/21
Four letters picked without replacement from {g: 2, v: 4, h: 1, y: 2, r: 1, x: 2}. Give prob of sequence gxrv.
2/1485
Three letters picked without replacement from jnnjn. Give prob of sequence nnn.
1/10
Four letters picked without replacement from {a: 1, w: 2, x: 1}. What is prob of sequence wwax?
1/12
Four letters picked without replacement from {i: 4, h: 1, m: 7, r: 2, t: 6}. Give prob of sequence irtt.
2/969
Calculate prob of sequence vva when three letters picked without replacement from avavvavvvavavvvv.
55/336
What is prob of sequence lll when three letters picked without replacement from {y: 4, l: 9, d: 6}?
28/323
Four letters picked without replacement from {z: 8, h: 4, j: 2, l: 1}. Give prob of sequence ljhz.
8/4095
What is prob of sequence dspu when four letters picked without replacement from {d: 1, u: 1, p: 1, s: 1, b: 1}?
1/120
Calculate prob of sequence rn when two letters picked without replacement from zrnun.
1/10
Two letters picked without replacement from {p: 2, y: 2, v: 2, k: 2}. Give prob of sequence pv.
1/14
What is prob of sequence sqs when three letters picked without replacement from {q: 2, s: 3}?
1/5
Two letters picked without replacement from nibint. Give prob of sequence bi.
1/15
Calculate prob of sequence ojy when three letters picked without replacement from {j: 1, o: 1, a: 4, q: 1, y: 1}.
1/336
Two letters picked without replacement from {v: 9, z: 3, w: 7}. What is prob of sequence vw?
7/38
Four letters picked without replacement from {f: 4, j: 5, i: 2, s: 1, x: 2, q: 1}. What is prob of sequence jiqf?
1/819
What is prob of sequence ch when two letters picked without replacement from {h: 11, c: 3}?
33/182
Two letters picked without replacement from {z: 1, g: 2, c: 2, k: 6, p: 6}. What is prob of sequence cc?
1/136
What is prob of sequence uvv when three letters picked without replacement from {f: 1, u: 1, v: 2, h: 1}?
1/30
Calculate prob of sequence ah when two letters picked without replacement from {g: 4, s: 1, a: 3, h: 2}.
1/15
What is prob of sequence zz when two letters picked without replacement from zzeezyzkekeckebez?
5/68
What is prob of sequence iiq when three letters picked without replacement from jjijiqjiiiqijjqqijq?
35/969
Four letters picked without replacement from {a: 5, m: 15}. What is prob of sequence ammm?
455/3876
Three letters picked without replacement from hzhxzzhpzkhn. Give prob of sequence hzk.
2/165
Two letters picked without replacement from {n: 5, h: 2, y: 7, a: 4}. What is prob of sequence yy?
7/51
Two letters picked without replacement from {w: 2, t: 2, b: 9, r: 1}. Give prob of sequence tt.
1/91
Four letters picked without replacement from {a: 3, t: 3, z: 7}. What is prob of sequence zztz?
21/572
Three letters picked without replacement from rrfrf. What is prob of sequence rrr?
1/10
What is prob of sequence hzsz when four letters picked without replacement from czzhsshzshsrcsu?
1/364
Calculate prob of sequence zbqw when four letters picked without replacement from uwwzuwqwwuuuwbuwuuw.
1/11628
Four letters picked without replacement from ryrrryyyrryyqjyrrq. Give prob of sequence qqyr.
7/4590
What is prob of sequence bz when two letters picked without replacement from lzlllbizi?
1/36
What is prob of sequence sn when two letters picked without replacement from nnuinisuiinissvs?
1/15
What is prob of sequence cf when two letters picked without replacement from {i: 2, r: 3, f: 3, k: 1, c: 2, y: 1}?
1/22
Three letters picked without replacement from {q: 3, x: 1, z: 2, n: 6, g: 1, o: 2}. What is prob of sequence nxn?
1/91
What is prob of sequence zk when two letters picked without replacement from {w: 6, k: 11, z: 2}?
11/171
Three letters picked without replacement from paapppp. What is prob of sequence app?
4/21
What is prob of sequence zz when two letters picked without replacement from zzzzzzz?
1
Two letters picked without replacement from {n: 6, c: 4}. What is prob of sequence cc?
2/15
Calculate prob of sequence qq when two letters picked without replacement from {r: 1, q: 3, h: 4}.
3/28
Three letters picked without replacement from nbuxn. What is prob of sequence xbn?
1/30
Three letters picked without replacement from {w: 5, v: 5}. What is prob of sequence wvv?
5/36
Two letters picked without replacement from {w: 5}. What is prob of sequence ww?
1
Two letters picked without replacement from ccooddccoocddcdc. Give prob of sequence co.
7/60
Two letters picked without replacement from lrwhslhhlllhhhhhhwsh. Give prob of sequence ll.
1/19
Two letters picked without replacement from dreaddreenrraernrj. What is prob of sequence rj?
1/51
Two letters picked without replacement from {s: 1, y: 2, i: 1, z: 4}. Give prob of sequence yi.
1/28
Three letters picked without replacement from {k: 2, g: 1, x: 2}. Give prob of sequence kgk.
1/30
Two letters picked without replacement from ajvqjjqqjqwqjjjvqq. What is prob of sequence wv?
1/153
Three letters picked without replacement from {r: 3, f: 1, d: 4, g: 1, p: 3, o: 5}. Give prob of sequence rdg.
1/340
Two letters picked without replacement from vvgg. Give prob of sequence vg.
1/3
Three letters picked without replacement from {f: 1, g: 1, a: 7, n: 2, j: 7}. Give prob of sequence jga.
49/4896
Four letters picked without replacement from tttttvttttttt. What is prob of sequence tvtt?
1/13
Calculate prob of sequence jnqq when four letters picked without replacement from {n: 2, q: 2, j: 1}.
1/30
Three letters picked without replacement from {n: 1, h: 1, u: 4, x: 2, w: 1}. What is prob of sequence hxx?
1/252
Calculate prob of sequence qvq when three letters picked without replacement from vvqvvvqqqvqqvvvvvv.
5/68
Calculate prob of sequence ue when two letters picked without replacement from uenueuen.
9/56
Three letters picked without replacement from qmmmqmjqmcmmmmqqq. What is prob of sequence qcj?
1/680
What is prob of sequence xx when two letters picked without replacement from xxhthhhxbhhhhbxxbhx?
5/57
Four letters picked without replacement from qsqccqsqssqcccqqccqc. What is prob of sequence sssc?
8/4845
Two letters picked without replacement from urnu. What is prob of sequence nr?
1/12
Four letters picked without replacement from mmvmmxumm. What is prob of sequence uvmm?
5/504
What is prob of sequence jjdj when four letters picked without replacement from {s: 5, j: 1, d: 3, y: 1, h: 5}?
0
Three letters picked without replacement from rrrlrrrrrrrrjj. What is prob of sequence rjj?
11/1092
Calculate prob of sequence bm when two letters picked without replacement from {b: 1, t: 1, x: 2, m: 1, r: 1, u: 2}.
1/56
Calculate prob of sequence gzzz when four letters picked without replacement from gzzzzzzzzzzzzzz.
1/15
Calculate prob of sequence hw when two letters picked without replacement from hhhhhwwhhhwwwhwwhhh.
14/57
Three letters picked without replacement from {y: 3, t: 4}. What is prob of sequence tyy?
4/35
Three letters picked without replacement from iiyiiiyiiyiiiiiiyii. Give prob of sequence yiy.
10/323
Calculate prob of sequence te when two letters picked without replacement from {e: 13, t: 1, d: 3}.
13/272
Two letters picked without replacement from rvrqggvrvrvvrgv. What is prob of sequence gv?
3/35
What is prob of sequence rrrr when four letters picked without replacement from rrrrrrr?
1
Four letters picked without replacement from {f: 2, s: 1, n: 1}. Give prob of sequence sffn.
1/12
Two letters picked without replacement from nonowooonww. Give prob of sequence ow.
3/22
What is prob of sequence zv when two letters picked without replacement from {v: 1, y: 2, z: 1}?
1/12
Calculate prob of sequence dd when two letters
|
{
"pile_set_name": "DM Mathematics"
}
|
Let h = -3 + o. Suppose h = 2*t - 3*t + 30. Is t a multiple of 11?
False
Let w = 2 - -2. Suppose -16 = w*m - 72. Suppose -m = -4*f + 82. Is f a multiple of 9?
False
Let f = 55 - 2. Let c = -38 + f. Suppose 0 = 2*i + i - c. Is i a multiple of 5?
True
Is (-261)/6*(-6)/9 - 0 a multiple of 14?
False
Suppose 0 = 3*n - 3, 2*z + 0*z - 10 = 2*n. Let b be (-1)/4 - (-185)/4. Suppose 2*c = b - z. Is c a multiple of 7?
False
Let u(c) = -2*c - 2. Let y be u(-1). Suppose -2*z - 2 = -0, o + 4*z - 7 = y. Is 10 a factor of o?
False
Does 3 divide (0/(-1) + 4/6)*6?
False
Let m = 13 + -7. Let r be (0*2/m)/(-1). Suppose 0*v + 3*v - 48 = r. Is 8 a factor of v?
True
Suppose i = 3*i - 2. Let u = i - -1. Does 6 divide (22/(-8))/(u/(-8))?
False
Let s(l) be the third derivative of l**4/8 - 5*l**3/3 + 2*l**2. Does 23 divide s(11)?
True
Suppose 0 = -5*k + 4*k + 5. Suppose k*w - 105 = 125. Does 12 divide w?
False
Let z = 25 - 15. Is z a multiple of 5?
True
Is 8 a factor of 2/(-4)*(-96)/(2/1)?
True
Suppose -186 = -3*j - 51. Let u = -25 + j. Is u a multiple of 6?
False
Let k = 1 - -8. Let j(t) = 2*t + 10. Is 14 a factor of j(k)?
True
Let g = -62 - -89. Is g a multiple of 9?
True
Let m = 4 + -4. Let s = 30 - m. Suppose -c + 9 = -0*a + a, 0 = 4*c + a - s. Is 7 a factor of c?
True
Suppose -3*p + 16 = 4*c, p + 0*c - 4 = -2*c. Is (-276)/(-7) + p/14 a multiple of 8?
True
Suppose 0 = -8*t + 7*t + 4. Suppose -5*u + 25 = 3*n, 3*u - 28 = -t*n + 20. Does 5 divide n?
True
Let m(g) be the second derivative of -g**5/10 - g**3/2 - g**2 + g. Let w = -7 + 5. Does 20 divide m(w)?
True
Suppose -s + 5*i - 4 = 0, -i + 19 + 13 = 5*s. Suppose s = 2*h - 18. Is h a multiple of 6?
True
Suppose -3*a = 2*a + 5, 0 = 2*l + 4*a - 548. Does 12 divide l?
True
Let b be 12/(2 - 3/2). Suppose -i = 3*i - b. Does 3 divide i?
True
Let c(h) = h**2 + 3*h + 8. Suppose -3*u - 41 = 5*f, -4*f + 3*u + 2*u - 18 = 0. Does 12 divide c(f)?
True
Let c be (-1924)/(-6) + 10/(-15). Suppose -5*g - 76 = -b, -c = -4*b - b - 5*g. Is 33 a factor of b?
True
Let o(f) = -f**2 + 5*f. Let w be o(4). Suppose -4*p = -2*l - 0*p + 198, -5*l + 507 = -w*p. Is l a multiple of 21?
False
Suppose 7*i - 116 = 24. Is 10 a factor of i?
True
Suppose -29 = -3*k - 4*u, -2*k - 4*u = 2*k - 32. Is k a multiple of 2?
False
Suppose 0 = -0*v + 5*v + 2*b - 21, 4*v - 4*b = 28. Suppose -5*n - 141 = -3*z - n, -5*z + v*n + 230 = 0. Is z a multiple of 11?
False
Suppose -19*n + 3451 = -2*n. Is n a multiple of 26?
False
Let d(q) = -3*q + 4. Let j(f) = f + 1. Let x be (-38)/9 + (-8)/(-36). Let s be j(x). Is 13 a factor of d(s)?
True
Suppose 0 = -4*b + m + 283, -m = -4*b + 2*m + 289. Is 14 a factor of b?
True
Suppose f + 73 = -0*f - 2*q, q + 224 = -3*f. Let z = -30 - f. Does 13 divide z?
False
Suppose -2*t - 279 = -x, 4*t + 0*t + 1419 = 5*x. Suppose -4*l = 3*j - x, -j + 103 = -l + 6*l. Suppose -85 = -4*o - o - 5*p, 5*o - 3*p = j. Is 12 a factor of o?
False
Let m = 3 + 1. Suppose m*t - t - 48 = 0. Is t a multiple of 8?
True
Let w(g) = 7*g - 4. Let c(z) = -5*z**2 + 10*z - 4. Let d(y) = -3*y**2 + 7*y - 3. Let k(a) = -5*c(a) + 7*d(a). Let p be k(-1). Does 21 divide w(p)?
False
Suppose -3*d - 2*i - 52 + 174 = 0, d + 3*i = 29. Does 18 divide d?
False
Let t(k) be the first derivative of -k**3/3 + k**2/2 + 11*k - 2. Let s be t(0). Suppose -x + 4 = -s. Is 10 a factor of x?
False
Let p(j) = -24*j. Is p(-1) a multiple of 5?
False
Suppose 0 = -2*u + 5*d + 93, -85 = -3*u + u - 3*d. Is 11 a factor of u?
True
Let i be 0 + (-2)/(-1)*-12. Let g be (575/(-30))/5 + (-1)/6. Let u = g - i. Is 10 a factor of u?
True
Suppose -175 = -12*q + 7*q. Does 5 divide q?
True
Let p be -1 - (-6)/((-12)/4). Let z = 2 - p. Does 3 divide z?
False
Let y = -17 + 87. Is y a multiple of 29?
False
Let i be (-93)/4*(0 - 8). Suppose 5*n - i = 84. Does 20 divide n?
False
Let j be (-1)/(-2 + (-28)/(-12)). Let w(y) = 2*y**2 + y - 4. Is 11 a factor of w(j)?
True
Let y(z) = 7*z**2 - 8*z + 4. Let d be y(5). Let j = d + -97. Is j a multiple of 14?
True
Does 33 divide 6/3 - -96 - -1?
True
Let p(k) = 2*k**3 + 2*k**2 + 3*k + 13. Let z(s) = 2*s**3 + 3*s**2 + 4*s + 12. Let d(n) = 3*p(n) - 4*z(n). Does 20 divide d(-4)?
False
Suppose -30 = -5*k - 5*a, a - 5*a = -3*k + 39. Is 3 a factor of k?
True
Suppose 5*o - 9 - 4 = 3*x, 5*x - 4*o + 26 = 0. Let t = -7 - x. Is 10 a factor of -1 + t + 1 + 19?
False
Let h = 250 + -44. Does 8 divide h?
False
Let p = 5 + 0. Suppose t = p*t - 168. Is t a multiple of 15?
False
Suppose -i + m + 35 = i, -3*i - 5*m + 20 = 0. Does 5 divide i?
True
Suppose 4*t + 20 = 0, 4*i - 2*i + 19 = -t. Is 15 a factor of (-159)/i - 4/(-14)?
False
Suppose 2*l - 7*l + 20 = 0. Suppose 36 = 3*b - 5*a + 13, l*a = 3*b - 19. Is b/(-3) - (-340)/12 a multiple of 14?
True
Let k be ((4 - 1) + 0)*1. Suppose -3*v + 6 = 2*p - 5, p + 8 = k*v. Suppose -14 = -v*j + 31. Is j a multiple of 5?
True
Suppose 4*b + b = 0. Suppose j - w - 12 = 0, 3*j + b*w - w = 40. Is 10 a factor of j?
False
Let l be (-2)/(-3) - (-28)/12. Suppose o - 23 = -5*c, 4*o - l*o = c + 11. Does 7 divide o?
False
Let z = 6 + -6. Suppose z = -2*t - 0*g + g + 7, 0 = -t - 2*g + 16. Suppose -3*k - t = -66. Is 10 a factor of k?
True
Let q(i) = i**3 - i**2 - 2*i + 3. Let j be q(2). Let u(l) = 3*l + 7. Let w be u(5). Suppose o + w = j*o. Is 11 a factor of o?
True
Suppose -t + 0*t - 2 = -w, 0 = 5*w - 25. Suppose 0 = -t*a - 24. Let y(b) = b**3 + 8*b**2 - 2*b - 6. Does 7 divide y(a)?
False
Let k = 140 - 62. Is k a multiple of 19?
False
Is -3 + (-8)/(-1)*4 a multiple of 7?
False
Suppose -21 + 1 = 2*i + 2*q, -3*q = 12. Let s be 3/9 - 148/i. Suppose s = 4*m + m. Is 2 a factor of m?
False
Suppose -2*m + 10 = c, -2 = -3*c + 5*m - 5. Let n(j) = j - 9. Let t be n(c). Does 10 divide (t/(-3))/(3/18)?
True
Let y(n) = -2*n**2 - 3*n + 2. Let w be y(2). Is (w/18)/(4/(-366)) a multiple of 18?
False
Suppose 0 = 4*t - j - 19, 3*t - 3*j + j = 8. Is t/(-4) - (-31)/2 a multiple of 7?
True
Let c = -1 + 1. Suppose c*v - 76 = -2*v. Let n = v - 23. Is 15 a factor of n?
True
Suppose 0 = -3*h + 79 + 221. Let z = h - 56. Does 11 divide z?
True
Suppose -4*f - 2*y = -104, -f - f = 3*y - 60. Is 24 a factor of 2/(-16) - (-579)/f?
True
Let v be 0 + 3 - (-3 - -2). Suppose 3*l - 74 = l + v*k, -3*l = -2*k - 91. Does 9 divide l?
True
Let s(h) = -h**3 + 14*h**2 - 15*h + 16. Let g be s(13). Let r = -7 - g. Is 3 a factor of r?
True
Suppose 2*u = 5*h - 421, 7*u - 2*u - 234 = -3*h. Let d = -47 + h. Does 18 divide d?
True
Let h be (-1*2)/(13/(-754)). Suppose -2*q + 5 = -3*q, 3*x = 4*q + h. Does 8 divide x?
True
Let a(z) = -z**3 + 6*z**2 - 5*z + 1. Let o be a(4). Let x = o - 8. Suppose 3*y + x*k = 4*y - 30, 5*y - 84 = 3*k. Is 5 a factor of y?
True
Let o = -38 - -55. Is 5 a factor of o?
False
Suppose -2 + 32 = -3*i. Let a = -1 - 4. Let c = a - i. Does 5 divide c?
True
Let s = 2 + 1. Suppose -3*v + 9 = s. Is 13 a factor of ((-13)/v)/(2/(-8))?
True
Suppose c + 2 = -5*p, -p + 18 = 2*c - 2*p. Is c a multiple of 4?
True
Is 5 a factor of 1/((-3)/(-15) - 0)?
True
Suppose 7*m = 10*m - 528. Is 44 a factor of m?
True
Suppose i - 83 = -2*h, -170 = -2*i - 2*h - 3*h. Is i a multiple of 15?
True
Is (-6300)/(-44) + 2/(-11) a multiple of 13?
True
Let m(i) = i**2 - 3*i - 4. Is m(-5) a multiple of 12?
True
Let c = 44 + -73. Let t = 59 + c. Is t a multiple of 6?
True
Let q(j) = 6*j**3 - 2*j**2 + j - 2. Let h = 40 + -24. Suppose 3*p - 3*g - h = p, -4*p = -g - 12. Is 22 a factor of q(p)?
False
Suppose s = 2*v + 4*s - 49, v = 4*s + 8. Is 20 a factor of v?
True
Suppose -3*r + 11 = -5*r + 5*v, -2*v = 4*r + 34. Let t(y) = -y**3 - 8*y**2 - 9*y - 12. Is t(r) a multiple of 15?
True
Let m be 1/((-1)/(-1 + -2)). Suppose g + m*u = -1, u + 0*u + 26 = 2*g. Is 7 a factor of g?
False
Is 11 - 7 - 8*-1 a multiple of 3?
True
Let l(s) = -s**3 - 4*s**2 - s + 2. Let k be l(-3). Is 10 a factor of -3 - -6 - -3 - k?
True
Suppose -5 = -i - 13. Let k = i + 5. Does 11 divide 3*7 + (-2 - k)?
True
Let q(n) = -1 - 6*n - 5 + 0. Is 18 a factor of q(-7)?
True
Let v = 17 - 23. Is 16 a factor of 20/15 + (-184)/v?
True
Let n(w) = -32*w + 3. Let j be n(-2). Let i = j + -45. Is 18 a factor of i?
False
Suppose 4*o = 3*o. Suppose -2*t + 8 = -o*t. Suppose -3*s + 219 = t*l, 4*l + 5*s = 43 + 170. Is l a multiple of 21?
False
Let r(n) = -n**3 - 2*n**2 + 3*n + 3. Let x be r
|
{
"pile_set_name": "DM Mathematics"
}
|
pose 2*y + x*s = -2*y + b, -y + 11 = 2*s. Calculate the remainder when 21 is divided by y.
10
Suppose 2*y + 1 = 3. Calculate the remainder when (-79)/2*(3 + 7)/(-5) is divided by 27 + (0 - 0/y).
25
Suppose -5*b = -5*y + 3115, 2*y - 940 = -4*b + 330. Calculate the remainder when y is divided by 90.
87
Suppose 23 = -5*o + 558. Let b = o + -57. Calculate the remainder when 198 is divided by b.
48
Suppose -96 - 30 = 14*p. Calculate the remainder when (-8)/32*(-240)/p*-6 is divided by 1/(2/7)*6.
19
Let m = 38 - 19. What is the remainder when 816 is divided by m?
18
Let z = -2435 - -2468. What is the remainder when 295 is divided by z?
31
Let y(l) = -l**3 - 3*l**2 - 4*l - 1. Let r be y(-2). Suppose 5*p - 40 = -c, r*p + 3 = 2*c - 25. Calculate the remainder when 59 is divided by c.
19
Suppose 4*j - 2*w = 392, -3*j + 0*w + 304 = -4*w. Suppose -j = -3*r + 36. What is the remainder when r is divided by 16?
12
Suppose -u = -4*u + 342. Suppose 4*m - u = 38. What is the remainder when m is divided by 14?
10
Suppose 4*c - 10 = -c. Suppose 5*i = 4*h - 63, -30 = -3*h - i - i. What is the remainder when h is divided by c?
0
Let j be 23/(1/(-3 - 0)). Suppose 48 = 2*z + 2*z. Calculate the remainder when ((-32)/24)/(1/j*2) is divided by z.
10
Let k = -18 - -33. Suppose 10 = 5*h, 2*d - 5*d = 3*h - k. Suppose 237 = -3*q + 8*q + 3*u, 123 = d*q - 3*u. What is the remainder when q is divided by 16?
13
Let f = 3720 - 2541. What is the remainder when f is divided by 10?
9
Suppose 3*d - 3*s - 563 = s, 3*s + 746 = 4*d. What is the remainder when (2*d/(-40))/(2/(-8)) is divided by 8?
5
Let g(u) = u**3 - 31*u**2 + 60*u - 17. What is the remainder when 119 is divided by g(29)?
37
Suppose 5*z - 5 = 3*a + 18, -z = -2*a - 6. Let g(p) = -10*p - 2*p + 0*p - 3*p + 2. What is the remainder when 100 is divided by g(a)?
15
Suppose 4*y - 5*n - 24 - 17 = 0, 2*n - 6 = -4*y. Suppose 2*j - y*j - 42 = 0. Let a = j + 38. Calculate the remainder when 67 is divided by a.
16
Let u = 329 - 307. Let z = 14 - 2. Calculate the remainder when u is divided by z.
10
Let p(m) be the third derivative of m**5/60 - 5*m**4/24 + m**3 + 21*m**2. Calculate the remainder when 35 is divided by p(6).
11
Suppose -39 = -s + 2*q + 18, 4*s + 2*q - 188 = 0. Let p = 74 + -57. What is the remainder when s is divided by p?
15
Suppose -17*x - 56 = -16*x. Calculate the remainder when 25 is divided by (96/x)/(4/(-14)).
1
Let o(b) = -21*b**3 + 11*b**2 + 18*b + 7. Calculate the remainder when o(-2) is divided by 101.
82
Suppose 6*s = -113 + 35. Let x(i) = -i**3 - 12*i**2 + 10*i - 10. What is the remainder when 85 is divided by x(s)?
27
Let h(d) = -5*d + 13. Let c be (1*(-3 - -3))/(-1). Calculate the remainder when 47 is divided by h(c).
8
Suppose -3*k - 5*x = -2*k - 48, 3*x = 9. Calculate the remainder when k is divided by 6.
3
Suppose -122*q + 125*q = 81. What is the remainder when 484 is divided by q?
25
Let l = 119 - 83. Suppose -4*i + 376 = 3*w, i + 203 + 393 = 5*w. Suppose 0*k - w = -k - 5*p, 0 = -3*k - 5*p + 330. What is the remainder when k is divided by l?
33
Let j = -13 + 24. Let w be 7/(-1)*(-8)/2. Suppose 0 = -l + w - j. What is the remainder when 32 is divided by l?
15
Suppose g + m - 68 = -28, -4*m = 2*g - 84. Calculate the remainder when 222 is divided by g.
32
Let z be 2 + (-1 - -2) - 0. Suppose -44 = -z*n - 11. What is the remainder when 38 is divided by n?
5
Suppose b - 2*b = -5. Suppose -b*w + 72 = 222. Let f = -21 - w. What is the remainder when 34 is divided by f?
7
Let n(z) = z**2 + 5*z + 1. Let g be n(-11). Let u = 147 - g. Suppose -2*t - u = p - 3*p, 3*p - t = 124. What is the remainder when p is divided by 15?
12
Let p(w) = w**3 + 7*w**2 - 10*w - 9. Let t(u) = u**3 - 4*u**2 + 3*u. What is the remainder when t(5) is divided by p(-8)?
5
Suppose 0 = -3*a + 152 - 11. Let h(b) be the first derivative of 4*b**3/3 - 3*b**2 + 6*b + 7. What is the remainder when a is divided by h(3)?
23
Let j = -253 - -315. What is the remainder when 158 is divided by j?
34
Let t(j) = -4*j**3 - 4*j**2 - 3*j. Let v be t(-2). Suppose 0 = 5*s + 7 - 37. Calculate the remainder when 42 is divided by (v/3)/(4/s).
9
Let w(v) = -v - 1 - 3 + 8*v + 10*v**2 - 2*v. What is the remainder when 20 is divided by w(1)?
9
Suppose -191 + 11 = -3*t. Suppose 2*j + 2*j = t. What is the remainder when 372/9 + (-2)/(-3) is divided by j?
12
Let h(i) = 54*i**2 - 9*i - 6. Calculate the remainder when h(-5) is divided by 107.
105
Let c = 1615 + -802. What is the remainder when c is divided by 43?
39
Suppose -107 = -56*s + 55*s. What is the remainder when 641 is divided by s?
106
Let f(t) = 23*t + 107. What is the remainder when f(13) is divided by 11?
10
Let u(x) = 34*x - 2192. Suppose -209 = -5*a - 34. Calculate the remainder when a is divided by u(65).
17
Let x be (-583)/(-159) + (-4)/6*1. Calculate the remainder when 11 is divided by (-7)/(-3) + 2/x.
2
What is the remainder when (-64)/(-12)*(-2)/((-40)/75) is divided by 13?
7
Suppose 4*o = -o + 25. Let n = 771 + -775. Calculate the remainder when 14 is divided by (o - (-4)/n)*1.
2
Let m = 1029 - 960. Calculate the remainder when m is divided by 25.
19
Suppose -l - 4*v + 9 = 19, -5*v = 20. Suppose 4*o - 70 = -o. What is the remainder when o is divided by l?
2
Suppose -107*n = -94*n - 39. What is the remainder when n is divided by 1?
0
Suppose -13*m + 16*u - 14*u + 204 = 0, 3*m - 56 = -4*u. Let d(q) = 6*q**3 + 2*q**2 + 3*q - 3. Calculate the remainder when d(2) is divided by m.
11
Suppose -2*s = -0*s + 8. Let d be ((-10)/s)/(-5)*0. Suppose -g + 2*i = d, -g - 2*i = -i - 6. What is the remainder when 7 is divided by g?
3
Suppose -4*k + w = -1570, 0 = -5*w + 9 + 1. Suppose -71 - k = -4*o. Calculate the remainder when o is divided by 41.
34
Suppose -72*w + 77*w - 515 = 0. What is the remainder when w is divided by 29?
16
Let n(m) = 5*m**2 - 2*m - 3. Suppose 0 = 2*j - 6*j - 4*y - 16, 0 = -j + 3*y + 4. Let h = -14 + 25. Calculate the remainder when n(j) is divided by h.
10
Suppose -12*p + 10*p - 4 = 0. Calculate the remainder when 36 is divided by p/4 + (-656)/(-32).
16
Calculate the remainder when ((-3)/9)/((-3)/1017) is divided by 40.
33
What is the remainder when 53 is divided by 3/2*522/27?
24
Let d(n) = -107*n + 17. What is the remainder when d(-1) is divided by 65?
59
Let v(m) = -m**3 + 33*m**2 + 11*m - 78. What is the remainder when v(33) is divided by 91?
12
Let n = 54 - 31. Suppose 17 + n = 2*b. Calculate the remainder when 58 is divided by b.
18
Suppose -z + 47 = -4*j, -2*z + 9 = -j + z. Let o(x) = -x**3 + 6*x**2 + 3*x + 3. Calculate the remainder when o(6) is divided by (-35)/(-4) + j/16.
5
Let q(w) = -6*w**3 - 2*w**2 + 2*w + 2. Let c be q(-2). Suppose 39*x = c*x + 38. What is the remainder when x is divided by 8?
6
Let x(d) = 2*d**2 - 12*d - 3. Let b be x(-3). Suppose s - 6 = z, 3*z - b = -4*s - 2*z. Calculate the remainder when 1*(23 - (-2 - -1)) is divided by s.
6
Let x(b) = -b**2 - 8*b + 12. What is the remainder when ((-12)/(-8))/(((-27)/642)/(-3)) is divided by x(-5)?
26
Let c = -23 + 25. Let x(t) be the third derivative of t**5/15 - t**4/8 + t**3/6 - t**2. Calculate the remainder when 20 is divided by x(c).
9
Let n be 0 + ((0 - -3) + -3)/(-1). What is the remainder when 94 is divided by (-30)/18*-15 - (n + 1)?
22
Let a(s) = -s**2 - 4*s - 4. Let k be a(-6). Let t = 47 + k. Calculate the remainder when t is divided by 18.
13
Suppose -6*d + 4*z - 206 = -7*d, 0 = -2*d - 5*z + 421. Calculate the remainder when d is divided by 11.
9
Let s(p) be the second derivative of -p**3/2 + 25*p**2/2 - 23*p. Calculate the remainder when s(0) is divided by 17.
8
Let j(k) = -4*k - 12. Let d(m) = 4*m**2 - 8*m - 63 + 68 + m. What is the remainder when d(5) is divided by j(-9)?
22
Calculate the remainder when 1046 is divided by -4 + 160/45 - 1370/(-45).
26
Let m = 806 + -766. Calculate the remainder when m is divided by 21.
19
Suppose -19*q - 1512 = -28*q. Suppose -2*c - 6*i = -4*i - 72, -5*c + 164 = -3*i. What is the remainder when q is divided by c?
32
Let z(t) = -t**3 - 8*t**2 + 3*t - 21. Calculate the remainder when 130 is divided by z(-9).
31
Let f = 2 + 0. Suppose 0 = q - 16 + 22. Let u(i) = -i + 1. Calculate the remainder when u(q) is divided by f.
1
Suppose -24*h = -28*h + 68. Let d = h + -11. What i
|
{
"pile_set_name": "DM Mathematics"
}
|
14, -4*z = o*n + z + 11. Solve 4*c + n = 13 for c.
3
Suppose g = 4*w - 0*w - 1, -3*w = -g. Suppose -2 = g*z - 4*z. Solve 3*c = -z*c - 15 for c.
-3
Let z be (-5)/((-20)/12) - -1. Solve -2 = -h - z for h.
-2
Let i(a) = -a**2 + 6*a - 2. Let r be i(5). Let c(s) = 5 + 2*s**2 + 2 + 6*s - r*s**2. Let z be c(7). Solve 0 = x - z*x - 4 for x.
4
Suppose -4*t + 2 = 5*g - 0*g, -2*g = -2*t - 8. Solve g*o = 5*o + 9 for o.
-3
Let d = 6 - 7. Let k be -1 - -1 - (d + -1). Solve 1 = -b - k for b.
-3
Let h be (9 + -3)/(2 + -1). Suppose 0*j + j = 4*u - h, 8 = 4*u. Solve -k + 12 = j*k for k.
4
Let h = -9 + 12. Solve -i - 4 = -h for i.
-1
Let g be 472/26 + (-16)/104. Solve g = -3*j + 3 for j.
-5
Suppose x + 2 = 2*o, -2*o + 2 = 3*x - 8. Solve 3*j + o*j = 0 for j.
0
Suppose 0 = 2*a - 5*a + 15. Suppose a*z - 3*z - 6 = 0. Solve -8*h + 10 = -z*h for h.
2
Let r = -54 - -74. Solve -5*d - r = -0*d for d.
-4
Suppose 2*b - 17 = -5*o, -o + 52 = 5*b + 2*o. Solve 5*d = -9 - b for d.
-4
Suppose z - 10 = -5*x, -3*z - z = 0. Solve -i - x = -4 for i.
2
Let u(o) = -5*o - 8*o - 6 + 12*o. Let m be u(-9). Solve m*f = 7*f for f.
0
Suppose -16 = 2*c - 4*d, 5*d + 0*d = 5*c + 60. Let p be 22/99 + c/(-9). Solve l - 5 = p*l for l.
-5
Suppose -2*z - 15 = 5*t, -5*t + 15 = -z - 10*t. Suppose 2*l - 3 + z = -x, 2*l = x - 3. Let j be l/(1 - 0/1). Solve -s - 3*s + 8 = j for s.
2
Suppose 3*q - 2 = 4. Solve -q*r = r - 6 for r.
2
Let s(l) = -l**3 + 8*l**2 + 9*l + 3. Let c be s(9). Solve c*w = -w + 16 for w.
4
Let g be (-20)/8*(-18)/5. Let t = -6 + g. Solve -t*u = -0*u - 15 for u.
5
Suppose 5 = -4*y + 5*y. Solve 4*s + y = 3*s for s.
-5
Let w(f) = f + 7. Let c be w(-5). Solve 0 = c*a + a for a.
0
Let h = -25 - -40. Suppose 3*r - 75 = -3*s, s = -2*r - 8 + 38. Let j = 30 - s. Solve 5*m = -j - h for m.
-5
Let b be (1/1)/(-1)*-3. Let h(j) = j**3 + 12*j**2 - 6*j - 72. Let u be h(-12). Solve u*t - b = t for t.
-3
Let m(n) be the third derivative of -n**4/24 + n**3/3 - 2*n**2. Let p be m(0). Suppose 25 = -5*t, p*a + 2*t + 0 = -4. Solve 3*u + 0*u - a = 0 for u.
1
Suppose 0 = 10*c - 6*c + 2*t + 4, 3*c = -3*t - 6. Solve c*g - 2*g = 0 for g.
0
Let y be 84/(-24)*20/(-7). Solve -r = 4*r - y for r.
2
Suppose -4*i = 3*t - 0*t - 26, 4*t = 4*i - 12. Solve -t*k = k for k.
0
Let j(x) = -3*x - 26. Let o be j(-10). Solve o*q - 9*q = 0 for q.
0
Let y = 0 - -5. Suppose -t = 4*o - 48, -y*o - 9 = -3*t - 69. Solve 0 = 5*l - 2*l + o for l.
-4
Let r(d) = 4*d**2 - d - 1. Let s be 2/(-4) - 3/6. Let z be r(s). Solve -z*x = 5 + 11 for x.
-4
Suppose 80 = 4*l + 72. Solve -m + l + 3 = 0 for m.
5
Let m be (-4)/((-7)/(21/6)). Solve 3*c = -m - 4 for c.
-2
Suppose 2*u - 106 = 20. Let v = 90 - u. Suppose -d = -3*l - 5, -v = -5*d - 2. Solve -3*m = -3 - l for m.
1
Let l(h) = -h - 1. Let k be l(-2). Solve 4*v = -k - 3 for v.
-1
Suppose -l + 12 = 2*l. Solve 0 = -3*p - l - 11 for p.
-5
Suppose 4*q = q + 2*t + 2, -3*q = 4*t + 4. Suppose 0 = -q*d + 3*d - 9. Solve i = 7 - d for i.
4
Let v(h) = -h**3 - 5*h**2 + 1. Let o be v(-5). Let i = o - 1. Suppose 3*c = -i*c. Solve s + c*s - 5 = 0 for s.
5
Let m = 11 + -7. Let l be 3/(-12) - (-13)/m. Suppose l = 5*u - 4*u. Solve 0 = u*b + 27 - 12 for b.
-5
Let z(t) = 2*t - 6 - t - 2 - 1. Let w be z(7). Let c be ((-4)/(-5))/(w/(-15)). Solve 2*f + f = c for f.
2
Suppose 2*k + b - 5 = 0, -2 = -5*k - 3*b + 10. Solve -k*a - 1 = -4*a for a.
1
Let x be 7/4 - 1/(-4). Solve -x*c + c = 0 for c.
0
Suppose -4*s + 5*n = 4, 2*s + 3*n - 6*n = -2. Suppose -d = u - 2, 2*d - 5 - 8 = -5*u. Let f be 1*(-2 - s - d). Solve -4*a + f = 8 for a.
-2
Let j = -8 - -13. Suppose 2*u + 4*u - 30 = 0. Solve j*p + 0 = u for p.
1
Suppose -2*q = -6, -2*v - v - 4*q = -39. Let h be (7 - -1 - -1)*2. Let b be (h/(-12))/((-2)/4). Solve 0 = -3*s - b - v for s.
-4
Suppose 0 = o - 3*o + 22. Let t be (5 - 3)/((-2)/o). Let i = -9 - t. Solve 0 = -i*p - 1 - 1 for p.
-1
Suppose s + s - z = 5, -5*s = -2*z - 12. Solve 0 = -s*h - 2*h + 8 for h.
2
Suppose 2*h + 5 = -3*c - 0, -h - 4*c - 15 = 0. Suppose -h*b + 19 = -3*x, -7*b + 2*b - x = -7. Let w be 22/6 + 6/(-9). Solve -b*n = -w*n + 2 for n.
2
Let s be (-23)/(-5) + 9/(-15). Suppose 3*m - 4*k = 2*m - 2, -m - s*k = -22. Let n = m + -6. Solve n*a = 3*a + 5 for a.
5
Let j be -1 + 2 - ((-4)/2 - -2). Solve 3 - j = -o for o.
-2
Let s = -25 - -27. Solve s*k + 8 = -2*k for k.
-2
Suppose 4*f = 8*f + 4*j - 36, -4*j - 12 = -4*f. Suppose 0 = 4*p - f*p + 36. Solve -4*w + p + 2 = 0 for w.
5
Let w(x) = x**3 - 6*x**2 + 2*x - 3. Let i be w(6). Suppose -3*s + 0*s = 5*n - 145, -5*s + 5*n = -255. Let z be (2/(-5))/((-5)/s). Solve -z*m = -m - i for m.
3
Let q be 100/(-6)*3/(-2). Suppose 16 = 7*r - 3*r. Solve 0 = r*w + w - q for w.
5
Let v = -20 + 26. Solve -c = c + v for c.
-3
Let w = -62 - -35. Let v = -17 - w. Solve 0*u - v = 2*u for u.
-5
Suppose -6 + 21 = z. Let h be 8/5 - 10/(-25). Let a be h*3*(-1)/(-2). Solve a*c = -0*c - z for c.
-5
Let u be 6/15 + 23/5. Suppose -u + 13 = s. Solve -6*o + s = -2*o for o.
2
Let o = -12 + 13. Suppose -j + o = -2. Solve -8 + 2 = -j*k for k.
2
Let i(g) = g + 4. Let u be i(-3). Suppose -5*v = 0, c - 4 = 3*v - u. Solve -4*j - c = -j for j.
-1
Let m = -1 + 3. Suppose 5*b - 55 = 4*s, 0 = -2*b + 5*s - m*s + 15. Suppose -5*g = -0*g - b. Solve 0 = g*x - 10 - 2 for x.
4
Let p = 22 - 19. Solve -15 = -0*c + p*c for c.
-5
Suppose z + 8 = 5*z. Solve z*i + 9 + 1 = 0 for i.
-5
Suppose 2*n - 4*n = 12. Let j be 31/5 - 5/25. Let c = n + j. Solve -4*f + c*f = 0 for f.
0
Suppose -10 = -3*a - 2*a. Suppose 2*r = -3*p + 20, 0 = -4*r + a*p - 0*p + 8. Suppose -s - 5*g = 7 + r, -12 = 4*g. Solve -1 = z - s for z.
3
Suppose -3*j + 9 = -0*j. Let u = j - 1. Solve u*p + 3 = -1 for p.
-2
Let g(w) = w**3 + 6*w**2 + 6*w + 10. Let q be g(-5). Solve -7 = -q*o + 18 for o.
5
Suppose -5*n = 4*u - 7*u - 9, -5*n + 6 = -2*u. Let h(a) = -a - 2. Let i be h(-4). Let w be (n/(-2))/(0 + i). Solve w*o - 4*o - 16 = 0 for o.
-4
Let y(v) = v**2 + 3*v. Suppose -9*i = -13*i - 16. Let p be y(i). Solve p = 5*d - 11 for d.
3
Suppose 4*v - 3*a - 64 = 0, 3*a + 33 = v - 2*a. Let z = v - 8. Solve 0*i = -z*i + 5 for i.
1
Suppose 3 - 4 = r, -2*o = -r - 9. Suppose 5*v - 8 - 2 = 0. Solve 3*n = v*n - o for n.
-4
Suppose t = -t + 18. Let u = t + -17. Let w(r) = -r**3 - 9*r**2 - 11*r - 10. Let d be w(u). Solve -3*m + 1 + d = 0 for m.
5
Let h = -17 - -20. Solve h*s + 8 = 5*s for s.
4
Suppose 0 = c - 6*c - 25. Let g be (-8)/(-12)*c*6. Let h be (-3)/2*g/15. Solve -h*p = -4*p + 10 for p.
5
Let m be 1/(-7) - 30/(-14). Solve 3*z + m = -13 for z.
-5
Let h = 4 - 5. Let f = h - -3. Suppose 5*c = 13 + f. Solve -5 = -c*z + 1 for z.
2
Suppose -4*n - 28 = 4. Let r be (-4 - n)*2/2. Solve -r*k - 12 = -4 for k.
-2
Suppose 0*t + 4*t = -8. Suppose u = -3*m + 17, -8 - 10 = -2*u - 2*m. Let r = t + u. Solve -5*d - 12 = r for d.
-3
Let j(a) = -a**2 - 5*a - 2. Let l be j(-4). Solve -5*n - l - 23 = 0 for n.
-5
Let s = 50 - 33. Suppose 4*c + 11 = -s. Let o = 12 + c. Solve n - 10 + o = 0 for n.
5
Suppose -4*q + 12 = -0. Let m(d) = -d + 4. Let k be m(-3). Solve k = -q*s + 1 for s.
-2
Let t be 1*10/((-10)/(-5)). Solve 2*n = t*n + 15 for n.
-5
Suppose 0 = -6*j + 11*j. Solve 5*d - 3*d + 6 = j for d.
-3
Suppose l + 2*a - 13 = 0, 0 = -3*l + 2*a - 25 + 104. Solve -3 = -4*p - l for p.
-5
Let n(f) = -f**2 + 7*f + 11. Let p be n(8). Let d = -13 + 16. Let w(x) = x**3 - 3*x**2 + x - 2. Let q be w(d). Solve p*m - 11 = q for m.
4
Let x be (17 + -5)*(-6)/(-4). Let d = x - 16. Solve k = d*k for k.
0
Let z = 128 + -124. Suppose 0 = 2*m - w - 45, 3*m = -5*w + 3 + 45. Solve -m = z*i - 5 for i.
-4
Suppose v + 1 = 2*r, r + 1 + 3 = v. Suppose -v*n - 20 = -10*n. Solve o - n = -3*o for o.
5
Suppose -2*b - 2 = 2. Let w be (b/(-6))/(2/12). Suppose 0 = k - 4*z + 15, -3*k - 5*z = -2*k - 30. Solve w*s - k - 3 = 0 for s.
4
Suppose 0 = 5*a - 4*b - 11, 2*a + b - 3*b - 4 = 0. Suppose 5*x + 5*l = -15, 4*x - 5*l = -0*x + 33. Solve -j - a = -x for j.
-1
Let a be 7/((-21)/(-12)) - -1. Suppose -a*r = -4*r. Solve -j - 2*j = r for j.
0
Let h = -13 + 16. Solve 2*t = t - h for t.
-3
Let x = 9 - -3. Suppose -2*q + 6*q - x = 0. Let j(o) = 4*o + 4. Let k be j(q). Solve 0 = -4*v + k for v.
4
Suppose -c = 3*d + 10, -18 = -4*c + c + 3*d. Solve -z + c*z = 5 for z.
5
Let t(x) = -2*x + 4. Let u be t(6). Let z = 8 + u. Solve i - 6*i - 10
|
{
"pile_set_name": "DM Mathematics"
}
|
1 to 6 decimal places.
0.000014
Round 159748500 to the nearest one million.
160000000
What is 0.000806935 rounded to 5 dps?
0.00081
Round 0.004452453 to 3 dps.
0.004
What is 1.112089 rounded to 2 dps?
1.11
Round -268.53102 to zero dps.
-269
Round 202882820 to the nearest 100000.
202900000
Round -0.1056828 to 5 dps.
-0.10568
Round -163097.3 to the nearest 1000.
-163000
Round -0.00000388845 to 6 decimal places.
-0.000004
What is -0.00247465 rounded to four decimal places?
-0.0025
Round -0.003065496 to 4 decimal places.
-0.0031
What is 195.60731 rounded to the nearest 10?
200
What is 0.000495 rounded to 4 decimal places?
0.0005
Round 0.1756186 to 3 dps.
0.176
What is 0.00005329466 rounded to 5 dps?
0.00005
What is -34.61122 rounded to the nearest integer?
-35
Round 1.09967 to two dps.
1.1
Round 4981990 to the nearest ten thousand.
4980000
What is 161.53159 rounded to zero dps?
162
What is 65616.12 rounded to the nearest 100?
65600
What is 0.0018254 rounded to five decimal places?
0.00183
Round 96588.5 to the nearest ten thousand.
100000
Round -0.1162224 to three decimal places.
-0.116
What is 0.00000331489 rounded to seven decimal places?
0.0000033
What is 0.010405853 rounded to four dps?
0.0104
What is -2685856 rounded to the nearest ten thousand?
-2690000
What is 76172 rounded to the nearest 10000?
80000
What is 5.294039 rounded to 2 decimal places?
5.29
What is 61.9045 rounded to the nearest ten?
60
What is -4309457 rounded to the nearest ten thousand?
-4310000
What is 159876700 rounded to the nearest 1000000?
160000000
Round 0.000297543 to six dps.
0.000298
What is -1040.089 rounded to the nearest 100?
-1000
What is 7.37763 rounded to one dp?
7.4
What is -0.00001843441 rounded to 5 dps?
-0.00002
Round 155555.9 to the nearest one thousand.
156000
What is -0.00000299743 rounded to six dps?
-0.000003
What is -0.0000001596986 rounded to seven dps?
-0.0000002
Round 0.001920274 to four dps.
0.0019
What is 0.0000072011996 rounded to 7 dps?
0.0000072
Round 0.0001672148 to 7 decimal places.
0.0001672
Round 0.43576681 to 4 decimal places.
0.4358
Round -0.8676873 to 1 decimal place.
-0.9
Round -0.0010147939 to three decimal places.
-0.001
Round -207.301 to the nearest one hundred.
-200
Round 513694000 to the nearest 1000000.
514000000
Round 970.42 to the nearest one hundred.
1000
What is 0.00007509434 rounded to 7 decimal places?
0.0000751
Round -19.4664 to the nearest 10.
-20
What is 0.8711804 rounded to one decimal place?
0.9
Round 19905170 to the nearest one million.
20000000
What is 32.95115 rounded to 1 decimal place?
33
Round 1467310 to the nearest one hundred thousand.
1500000
Round 14937700 to the nearest one million.
15000000
Round -1187356100 to the nearest 1000000.
-1187000000
Round -89929.2 to the nearest one thousand.
-90000
Round 184.777 to 0 dps.
185
Round 0.000002013784 to seven decimal places.
0.000002
What is 259187 rounded to the nearest 100000?
300000
What is 1673.939 rounded to the nearest 100?
1700
What is -0.12916519 rounded to 4 dps?
-0.1292
Round 31.85264 to the nearest ten.
30
Round 0.213166 to 3 dps.
0.213
Round 0.000287065 to three dps.
0
What is 0.000063331 rounded to five decimal places?
0.00006
Round -2.720918 to one dp.
-2.7
Round 0.05569867 to 5 decimal places.
0.0557
What is -0.0029028 rounded to 3 dps?
-0.003
Round -0.00019747077 to 7 decimal places.
-0.0001975
Round 71837300 to the nearest 100000.
71800000
What is 0.003471 rounded to 4 decimal places?
0.0035
Round -3093.696 to the nearest 10.
-3090
Round 0.0021370472 to six dps.
0.002137
What is 318.312 rounded to the nearest 10?
320
What is -0.024664448 rounded to four dps?
-0.0247
Round 1460370 to the nearest ten thousand.
1460000
What is -0.0212057 rounded to four decimal places?
-0.0212
What is 0.00421684 rounded to 4 decimal places?
0.0042
What is 0.6817259 rounded to 3 decimal places?
0.682
What is 0.0006115491 rounded to seven dps?
0.0006115
Round 0.000617355 to four dps.
0.0006
What is -2162.4 rounded to the nearest ten?
-2160
What is -1652859.3 rounded to the nearest ten thousand?
-1650000
What is -3.17356 rounded to 2 dps?
-3.17
What is -0.0000055881 rounded to 7 decimal places?
-0.0000056
Round 2701.1333 to the nearest one hundred.
2700
Round -125812 to the nearest 1000.
-126000
What is 130476 rounded to the nearest 10000?
130000
Round 0.89296559 to 1 decimal place.
0.9
Round 299.27603 to two decimal places.
299.28
What is 406747200 rounded to the nearest 100000?
406700000
Round -0.000003216067 to 7 dps.
-0.0000032
Round 0.00838791 to four decimal places.
0.0084
What is 1.38807 rounded to 1 dp?
1.4
What is -0.0166879 rounded to two dps?
-0.02
Round 0.05420401 to 2 decimal places.
0.05
What is -485271.2 rounded to the nearest 100000?
-500000
Round 0.0010330611 to five dps.
0.00103
Round -0.2747031 to four dps.
-0.2747
Round -928.8155 to the nearest 100.
-900
Round -0.2473335 to 2 decimal places.
-0.25
What is 803094 rounded to the nearest one thousand?
803000
Round 3950.5972 to the nearest ten.
3950
What is 0.0100775 rounded to 4 decimal places?
0.0101
What is -0.0000008097 rounded to seven dps?
-0.0000008
Round 0.132225 to four dps.
0.1322
What is 11316660 rounded to the nearest one million?
11000000
What is 98168000 rounded to the nearest 1000000?
98000000
What is 0.3691354 rounded to 2 decimal places?
0.37
What is 0.00334598 rounded to four dps?
0.0033
Round -2.53283 to 1 dp.
-2.5
Round 0.29781321 to 2 dps.
0.3
What is -9.156 rounded to two decimal places?
-9.16
What is 46673000 rounded to the nearest one hundred thousand?
46700000
Round -452451 to the nearest one hundred thousand.
-500000
What is -3187200 rounded to the nearest 100000?
-3200000
What is 0.0050413 rounded to 4 dps?
0.005
Round 51.61528 to 2 decimal places.
51.62
What is 0.0000714266 rounded to seven decimal places?
0.0000714
What is -720065.3 rounded to the nearest ten thousand?
-720000
Round 9.794049 to three decimal places.
9.794
Round -322.16779 to 0 decimal places.
-322
What is 0.00000614224 rounded to 7 dps?
0.0000061
Round 722.7554 to the nearest 100.
700
What is 0.004693351 rounded to 6 dps?
0.004693
Round -0.000566137 to four dps.
-0.0006
What is -3007.235 rounded to the nearest 10?
-3010
Round -0.0000716501 to 7 dps.
-0.0000717
What is 9795.2989 rounded to the nearest ten?
9800
Round 50.6114 to 0 dps.
51
Round -366770000 to the nearest one million.
-367000000
Round 28482.437 to the nearest one thousand.
28000
What is -26.4723 rounded to 2 decimal places?
-26.47
What is -78.57392 rounded to 1 decimal place?
-78.6
Round 593.27259 to the nearest 10.
590
What is -264.761 rounded to 1 dp?
-264.8
Round -0.17869776 to four dps.
-0.1787
What is 0.6133671 rounded to 3 dps?
0.613
Round 0.000000929485 to seven dps.
0.0000009
What is -0.0000582123 rounded to seven decimal places?
-0.0000582
What is 0.000916396 rounded to 5 decimal places?
0.00092
Round -9.10316 to two dps.
-9.1
Round 0.4906776 to three dps.
0.491
What is 0.027998207 rounded to four dps?
0.028
What is -0.02381633 rounded to three decimal places?
-0.024
What is 55028 rounded to the nearest 100000?
100000
What is 0.00361509 rounded to 3 decimal places?
0.004
Round -0.00000719921 to six dps.
-0.000007
Round -24695220 to the nearest 100000.
-24700000
What is -90845.9 rounded to the nearest ten thousand?
-90000
Round -308.8651 to 1 dp.
-308.9
What is -0.0001678722 rounded to five dps?
-0.00017
What is -10091910 rounded to the nearest one million?
-10000000
What is 6604541 rounded to the nearest one thousand?
6605000
What is 0.009398398 rounded to 3 dps?
0.009
What is -2883140 rounded to the nearest one hundred thousand?
-2900000
What is 38387.5 rounded to the nearest one hundred?
38400
What is 964315 rounded to the nearest ten thousand?
960000
Round 1788.8 to the nearest 1000.
2000
Round -10.959586 to 2 dps.
-10.96
Round -0.000789393 to 4 dps.
-0.0008
Round -1.4120375 to 0 dps.
-1
What is 0.11124066 rounded to 3 dps?
0.111
Round -0.000000417442 to 7 dps.
-0.0000004
Round 49944148 to the nearest 1000000.
50000000
What is -15865.1 rounded to the nearest one hundred?
-15900
What is 63720.21 rounded to the nearest 10000?
60000
What is 0.01605906 rounded to 5 dps?
0.01606
What is 21957.6 rounded to the nearest 100?
22000
Round -0.7
|
{
"pile_set_name": "DM Mathematics"
}
|
(base 9) to base 13.
0
15 (base 6) to base 4
23
Convert 31 (base 9) to base 5.
103
What is -a (base 16) in base 14?
-a
Convert 28 (base 12) to base 14.
24
Convert -10 (base 3) to base 8.
-3
What is 10 (base 8) in base 11?
8
What is 110101 (base 2) in base 10?
53
Convert 5b (base 15) to base 10.
86
-3 (base 14) to base 4
-3
What is 20 (base 6) in base 5?
22
91 (base 12) to base 5
414
What is -3 (base 6) in base 16?
-3
What is 5 (base 9) in base 3?
12
What is -1 (base 12) in base 9?
-1
What is -3 (base 8) in base 6?
-3
Convert -107 (base 10) to base 6.
-255
What is -146 (base 9) in base 13?
-96
Convert 200 (base 4) to base 11.
2a
-7 (base 11) to base 5
-12
0 (base 6) to base 16
0
-3 (base 7) to base 9
-3
Convert 1 (base 6) to base 13.
1
What is 2 (base 14) in base 10?
2
Convert -1 (base 13) to base 10.
-1
-310 (base 10) to base 8
-466
Convert -245 (base 6) to base 12.
-85
0 (base 6) to base 10
0
What is -7 (base 15) in base 5?
-12
Convert 16 (base 8) to base 15.
e
-1 (base 11) to base 12
-1
Convert 36 (base 8) to base 9.
33
What is 2213 (base 4) in base 15?
b2
6c (base 15) to base 2
1100110
-2 (base 7) to base 3
-2
-154 (base 10) to base 4
-2122
Convert -54 (base 10) to base 6.
-130
Convert 4 (base 5) to base 4.
10
-3 (base 15) to base 4
-3
12 (base 8) to base 9
11
Convert 123 (base 6) to base 12.
43
12 (base 4) to base 16
6
-32 (base 5) to base 12
-15
Convert 2121 (base 4) to base 7.
306
-5 (base 15) to base 7
-5
What is -307 (base 8) in base 4?
-3013
-11110000 (base 2) to base 4
-3300
Convert 2 (base 4) to base 11.
2
What is 101 (base 4) in base 3?
122
What is -1211 (base 4) in base 7?
-203
Convert -94 (base 16) to base 8.
-224
What is 2 (base 16) in base 10?
2
What is -104 (base 12) in base 7?
-301
What is 100 (base 2) in base 10?
4
101000 (base 2) to base 5
130
4 (base 7) to base 4
10
Convert 12 (base 7) to base 6.
13
b8 (base 12) to base 6
352
-51 (base 11) to base 5
-211
What is 11 (base 2) in base 8?
3
Convert 1 (base 5) to base 10.
1
Convert 114 (base 7) to base 12.
50
What is 10 (base 11) in base 4?
23
What is 100 (base 2) in base 8?
4
139 (base 14) to base 5
1442
30 (base 9) to base 8
33
What is -3 (base 11) in base 2?
-11
What is 47 (base 9) in base 16?
2b
Convert 13 (base 9) to base 6.
20
Convert 5 (base 10) to base 2.
101
What is -21 (base 6) in base 7?
-16
Convert 56 (base 8) to base 7.
64
What is 48 (base 9) in base 14?
32
Convert -345 (base 7) to base 8.
-264
What is 5 (base 8) in base 4?
11
What is -4 (base 14) in base 12?
-4
What is 120 (base 5) in base 15?
25
0 (base 15) to base 4
0
What is 2 (base 11) in base 8?
2
Convert 6 (base 16) to base 3.
20
Convert -2 (base 11) to base 4.
-2
89 (base 15) to base 16
81
-4 (base 14) to base 2
-100
What is 112 (base 5) in base 15?
22
Convert -1 (base 3) to base 4.
-1
b (base 13) to base 11
10
Convert 22 (base 7) to base 11.
15
Convert -2 (base 3) to base 10.
-2
What is 108 (base 13) in base 4?
2301
-36 (base 10) to base 9
-40
What is 1 (base 11) in base 16?
1
Convert 31 (base 7) to base 16.
16
-7 (base 15) to base 11
-7
What is -4 (base 15) in base 4?
-10
What is 2a (base 13) in base 8?
44
100 (base 2) to base 10
4
What is 15 (base 7) in base 15?
c
Convert 22 (base 5) to base 4.
30
-22 (base 6) to base 13
-11
What is -154 (base 11) in base 13?
-10b
-5 (base 14) to base 6
-5
-4 (base 11) to base 2
-100
Convert -3 (base 11) to base 15.
-3
-148 (base 9) to base 7
-236
b (base 12) to base 6
15
-65 (base 8) to base 6
-125
What is -4 (base 9) in base 10?
-4
Convert -303 (base 4) to base 5.
-201
What is -34 (base 13) in base 14?
-31
What is -122 (base 6) in base 13?
-3b
-43 (base 10) to base 13
-34
11 (base 5) to base 8
6
What is 10011110 (base 2) in base 7?
314
-17 (base 9) to base 7
-22
10011 (base 2) to base 13
16
Convert 35 (base 7) to base 15.
1b
Convert -7 (base 14) to base 13.
-7
Convert -2021 (base 4) to base 12.
-b5
120 (base 3) to base 15
10
-139 (base 13) to base 7
-430
What is -c4 (base 16) in base 13?
-121
-24 (base 11) to base 8
-32
-2 (base 14) to base 8
-2
-3 (base 14) to base 8
-3
Convert 2 (base 11) to base 9.
2
What is 40 (base 11) in base 7?
62
What is -100011 (base 2) in base 10?
-35
1 (base 8) to base 15
1
Convert -131 (base 12) to base 8.
-265
1200 (base 3) to base 13
36
Convert 10 (base 3) to base 9.
3
Convert -8 (base 9) to base 15.
-8
What is -1000111 (base 2) in base 4?
-1013
Convert -139 (base 10) to base 2.
-10001011
6 (base 14) to base 4
12
Convert -7 (base 13) to base 3.
-21
What is -13 (base 12) in base 16?
-f
-23 (base 14) to base 8
-37
What is -2d (base 15) in base 12?
-37
-84 (base 14) to base 8
-164
What is 71 (base 11) in base 15?
53
What is -3 (base 4) in base 11?
-3
-26 (base 7) to base 2
-10100
Convert -a (base 15) to base 16.
-a
What is -52 (base 6) in base 7?
-44
What is -110102 (base 3) in base 2?
-101001111
2 (base 6) to base 3
2
What is 10 (base 2) in base 16?
2
Convert 11 (base 8) to base 3.
100
Convert -d (base 15) to base 2.
-1101
1 (base 13) to base 11
1
What is 0 (base 5) in base 9?
0
Convert 4 (base 13) to base 16.
4
-14 (base 15) to base 9
-21
Convert 2 (base 11) to base 9.
2
Convert -21 (base 11) to base 2.
-10111
a (base 12) to base 15
a
-7 (base 10) to base 6
-11
What is -5 (base 6) in base 12?
-5
Convert -4 (base 10) to base 3.
-11
What is 2 (base 9) in base 2?
10
What is 25 (base 10) in base 6?
41
What is -24 (base 14) in base 15?
-22
What is 8 (base 14) in base 4?
20
-a (base 16) to base 8
-12
Convert -116 (base 10) to base 6.
-312
Convert 5 (base 15) to base 8.
5
Convert -28 (base 13) to base 11.
-31
What is 25 (base 9) in base 16?
17
Convert 4 (base 6) to base 16.
4
48 (base 15) to base 4
1010
Convert d4 (base 14) to base 9.
226
Convert -5 (base 7) to base 2.
-101
Convert -211 (base 3) to base 12.
-1a
Convert 121 (base 3) to base 6.
24
What is -110 (base 3) in base 11?
-11
Convert 2 (base 7) to base 6.
2
What is 7 (base 9) in base 13?
7
-2c (base 15) to base 7
-60
What is 32 (base 8) in base 9?
28
-300 (base 5) to base 13
-5a
What is 7 (base 8) in base 5?
12
Convert -102 (base 6) to base 4.
-212
What is 531 (base 6) in base 10?
199
110001 (base 2) to base 6
121
-8 (base 9) to base 12
-8
Convert -34 (base 13) to base 8.
-53
What is -3 (base 15) in base 8?
-3
What is 171 (base 10) in base 14?
c3
What is 27 (base 14) in base 2?
100011
What is -20 (base 11) in base 8?
-26
-26 (base 14) to base 6
-54
-211 (base 4) to base 3
-1101
What is -16 (base 14) in base 4?
-110
Convert b (base 13) to base 3.
102
Convert c3 (base 13) to base 12.
113
-1 (base 14) to base 9
-1
Convert -4 (base 8) to base 9.
-4
Convert 14 (base 9) to base 12.
11
What is 5 (base 12) in base 11?
5
Convert 5a (base 11) to base 8.
101
Convert -16 (base 13) to base 4.
-103
What is -5 (base 14) in base 12?
-5
Convert -68 (base 14) to base 2.
-1011100
What is -145 (base 8) in base 6?
-245
What is -11110010 (base 2) in base 6?
-1042
Convert 214 (base 8) to base 4.
2030
What is -2 (base 16) in base 8?
-2
0 (base 5) to base 12
0
Convert -11 (base 10) to base 7.
-14
-21 (base 8) to base 15
-12
Convert -2 (base 8) to base 4.
-2
What is 0 (base 15) in base 8?
0
What is -150 (base 6) in base 3?
-2110
-20 (base 9) to base 3
-200
What is -2 (base 3) in base 5?
-2
200 (base 3) to base 4
102
Convert 2111 (base 3) to base 16.
43
Convert 278 (base 10) to base 9.
338
1 (base 5) to base 9
1
What is 155 (base 10) in base 12?
10b
Convert -48 (base 10) to base 6.
-120
Convert 1 (base 11) to base 13.
1
-1 (base 15) to base 11
-1
a (base 14) to base 6
14
Convert -4a (base 14) to base 10.
-66
-111 (base 8) to base 4
-1021
Convert -100 (base 3) to base 9.
-10
c5 (base 15) to base 16
b9
Convert 524 (base 7) to base 5.
2023
3c (base 14) to base 15
39
Convert -2 (base 13) to base 8.
-2
Convert 1000 (base 2) to base 4.
20
Convert 64 (base 13) to base 6.
214
Convert -35 (base 7) to base 8.
-32
9 (base 10) to base 16
9
Convert 5 (base 14) to base 8.
5
4 (base 11) to base 5
4
Convert -6 (base 8) to base 6.
-10
33 (base 12) to base 6
103
0 (base 16) to base 3
0
3 (base 4) to base 16
3
11 (base 15) to base 2
10000
What is -3 (base 7) in base 10?
-3
What is 14 (base 15) in base 6?
31
-20 (base 9) to base 3
-200
What is -1 (base 9) in base 3?
-1
-5 (base 16) to base 4
-11
What is 4 (base 9) in base 6?
4
Co
|
{
"pile_set_name": "DM Mathematics"
}
|
r**3 + 12*r**2 + 4. Let i be p(12). Let x(s) = -s + 8. Let h be x(i). Suppose -2*l + 3*l - 17 = -h*a, 4 = -2*a + 2*l. Which is greater: -1 or a?
a
Let a(n) = -3*n - 3. Let t be a(-2). Suppose 8 = -5*y - t*y. Do -5/6 and y have the same value?
False
Let l be (-2508)/110 - (-1)/(-5). Let m = l + 20. Does -3 = m?
True
Let x be (-4959)/(-10) + (-2)/4. Let d = x + -493. Is 3 greater than d?
True
Suppose -3 = -7*n + 60. Suppose -n*h - 48 - 6 = 0. Let k = 2 + -2.1. Is k at least as big as h?
True
Suppose 7 = -5*b - 9*w + 6*w, -b = -3*w - 13. Is -1/10 < b?
True
Let f be (9/18)/(1/(-22)). Let r be 2/(-3) + 304/24. Let l = r + f. Are l and 4/11 equal?
False
Let i be 10 - (22 + -8) - 19. Let f(p) = -2*p**2 + 3*p - 5. Let n be f(4). Which is smaller: i or n?
n
Let j(b) = 3*b + 26. Let a(x) = -x**2 + x - 7. Let m be a(3). Let w be j(m). Which is smaller: -25/2 or w?
w
Let y(p) = -p + 4. Let j = 9 - 5. Let r be y(j). Let a = 202 - 1411/7. Do a and r have different values?
True
Let p be 3 + (5 + -2 - (0 - 1)). Let j = -25 + p. Is j >= -17?
False
Let y be 0/(-3)*2/(-4). Suppose -4*a + 49 = -5*n, y*n + 35 = 5*a - n. Is 7 at most a?
False
Let x be (6/(-4))/((-9)/(-12)). Let d be 21/x*28/(-21). Let f = 14 - d. Is 4/3 less than f?
False
Suppose 53*p - 41*p - 2508 = 0. Which is smaller: p or 210?
p
Let q be 2/(-6) + (-778)/6. Is q <= -124?
True
Let t be ((-51)/170)/(9/5). Which is smaller: -2/19 or t?
t
Suppose 4*p - 3*b + 285 = 0, -p - 3*b = 108 - 18. Is -73 >= p?
True
Let m = 0.00173 - -0.49827. Let z be 1 + -1 + 4/14. Is z at most as big as m?
True
Let r = 10/549 + 935/99369. Which is bigger: r or 1?
1
Let u be -5 - (14/(-56) + 19/(-4)). Is u > -8/15?
True
Suppose s = -13*s + 28. Which is greater: s or 16?
16
Let b = 87 - 57. Suppose -o - b = -31. Which is smaller: o or -3?
-3
Suppose 2*j - 3*j + 2*n = -11, -14 = -4*j + 2*n. Which is smaller: j or 2/143?
2/143
Let c be (-14)/49 - (0 - 86/7). Let j be (-3)/((-9)/c)*(-2 + 3). Is -10 <= j?
True
Let v = -81.8 - -91. Is 1 greater than v?
False
Let z = -493 + 452. Which is bigger: z or -39?
-39
Let m = 6002/7 - 5270/7. Let q = m + -105. Suppose -4*b = -f - 8*b + 13, -3*f + 5*b - 12 = 0. Which is bigger: f or q?
f
Let g = 75 - 79.1. Let w = 30.1 + -26.1. Let m = w + g. Is -10 smaller than m?
True
Let j = 0.668 - 0.768. Is 64 greater than or equal to j?
True
Let l = 161 - 153. Is l equal to 92/13?
False
Let t = -7 - -11. Let l = -167 - -1167/7. Is l less than t?
True
Let l(u) = -4*u + 103. Let b be l(13). Which is smaller: 54 or b?
b
Suppose 0 = 2*y - 32*y - 180. Is -31/5 != y?
True
Suppose 56 = 4*n - 4*q, -8 - 29 = -2*n + 5*q. Let j be (-11)/n*0/(-2). Suppose -a - 18 = 4*u, j*u = 2*u - 2*a + 4. Which is bigger: -3 or u?
-3
Suppose 131 = -4*x + m, 0*x + 2*x + 93 = -5*m. Which is smaller: -25 or x?
x
Suppose 0 = 3*o - 4*j - 13, o + 10*j - 6*j = -17. Is o at most -3/31?
True
Suppose 62 = 3*g - 6*k + 11*k, 74 = 5*g + k. Is 16 at least as big as g?
True
Let t be (4/37)/((-1 + 0)*1). Which is smaller: t or -1?
-1
Let d = -34 - -43. Suppose 7 = -4*m + 47. Which is smaller: m or d?
d
Let k = 20 - -15. Let g = -36 + k. Is g smaller than 1?
True
Let b = 766/285 - 2/95. Suppose -24*w + 34*w - 30 = 0. Which is smaller: w or b?
b
Let h be (((-136544)/(-51))/8)/(5/(-3)). Is -202 <= h?
True
Let w = 76.9 + -52.6. Let c = -2.7 - w. Let p = 26 + c. Which is bigger: p or -4?
p
Let p be 26/4 - 15/(-10). Suppose 0 = 5*o - p*o. Suppose -5*n = -f + 15, o = 3*f - 3*n - 1 - 8. Do f and 3 have the same value?
False
Let u(i) = -3*i - 24. Let y be u(-10). Suppose -t + 1 = -y. Suppose 3*b - 8 = -4*l, -2*l + t*l = 4*b - 21. Is -2/31 greater than l?
True
Let v(h) = -82*h - 4. Let l be v(1). Let f = -37 - l. Which is bigger: 51 or f?
51
Let q = -2/30477 - 39802952/152385. Is -261 <= q?
False
Suppose 0 = 4*y - 4 + 56. Suppose 22*l - 120 = 12*l. Suppose -l*b - 11 = -11*b. Are y and b equal?
False
Suppose -t - 11 = 6*l - 9*l, -9*t = -3*l + 147. Which is smaller: -214/13 or t?
t
Let p(u) = 14*u**2 - 9*u - 40. Let t be p(-3). Is 111 greater than t?
False
Suppose 111*j + 15 = 96*j. Which is bigger: j or 4/491?
4/491
Let s = 937 - 577. Do -1 and s have the same value?
False
Suppose 0*y = -2*y. Let t = 21 - 19. Suppose 4*m - 2 = t*m. Is m greater than y?
True
Let k be (-4 - -5 - -7)*2. Suppose 4*i = 6*y - 5*y - 8, 2*y - k = -3*i. Let l(v) = -3*v + 1. Let u be l(-2). Which is greater: u or y?
y
Suppose 2*b + 3*x + 18 = 0, b + 0 = -4*x + 1. Suppose 2*o - 45 = 5*o. Let k = o - b. Which is smaller: k or 6/5?
k
Let p = -783 - -770. Do p and -92/7 have the same value?
False
Let d = 2.896 - 3.3. Let k = -0.026 + d. Let r = k - -0.33. Which is smaller: r or -1/11?
r
Let k = -8 + 8. Suppose 0 = -4*u - 95 - 45. Is k > u?
True
Let x = -58 + 60. Let a be 7/((-140)/(-15)) + x/4. Is a >= 2?
False
Let f(q) = 17*q - 4*q - 7*q - 10 - q. Let w be f(4). Is w >= 10?
True
Let o = 0.96 - -0.04. Let r = 0.85 - 1.21. Do r and o have different values?
True
Let f = 10015.57 - 10075. Let x = -0.57 + f. Is -0.1 greater than or equal to x?
True
Let o = -230 + 225. Is o greater than 1?
False
Suppose -5*r = 3*g + 3, 4*r = 3*g + r - 21. Suppose -2*n = n + 6. Does n = g?
False
Let n be (-4)/2 - 2*(-2 + -1). Suppose -2*f + 3*h + 69 = 3*f, -n*f = 5*h - 70. Let g(k) = 2*k + 5. Let v be g(5). Is f less than or equal to v?
True
Suppose 10*w - 14 = -4*w. Does w = 7/41?
False
Let z be 195/(-4) + 2/(-8). Let j be (-21)/6*(-12)/z. Suppose 6 = -7*p + 4*p, -5*p - 8 = -b. Which is smaller: b or j?
b
Let p be ((-36)/21)/((-4)/56). Suppose 2*n + 4*y = -p, y + 8 = -n + 1. Let v be 598/65 + n/10. Do 9 and v have the same value?
True
Let y(a) = 5*a**3 - 134*a**2 - 28*a + 55. Let n be y(27). Is 34 at most n?
False
Let a = 94 + -165. Let i = -356/5 - a. Which is smaller: i or -15?
-15
Let d = -0.1 - -0.1. Let o = -5.3 + -6.9. Let v = -11.2 - o. Which is smaller: v or d?
d
Let r be ((-36)/555)/((-24)/(-240)). Which is smaller: 0 or r?
r
Let m(x) = -35*x**2 - 16*x + 57. Let c be m(4). Is -566 at least c?
True
Let y(j) = j**3 - 6*j**2 - 4*j - 4. Let t be y(6). Suppose 2*q = -13*o + 17*o + 114, 5*q - 61 = 2*o. Is o at most as big as t?
True
Suppose -171*o + 104*o - 2144 = 0. Which is smaller: o or -37?
-37
Let w be 1/1*(-976)/10. Let m = 1623 + -1522. Let k = w + m. Is k smaller than 2?
False
Let z be -5*(0 - (-8)/5). Let y be (-4)/z*(-14 - -3). Which is bigger: -7 or y?
y
Suppose 4*i = -3*z + 32, -3*z - 8 = -6*i + 2*i. Suppose -2*m + 21 = -7*m + 4*u, 0 = -z*m - u. Which is greater: m or -1/4?
-1/4
Let v = -58.1 - 29.9. Is v at least -0.2?
False
Let b(i) = i + 40. Let o be b(0). Let q be (36/30)/(42/o). Do 1 and q have different values?
True
Let k be 0 + (10/(-52))/(-5). Suppose 10*t = -u + 12*t + 3, -t = 2. Which is greater: u or k?
k
Let r(u) = 7*u - 122. Let c be r(17). Do -7/3 and c have the same value?
False
Let g = -3/256 + -997/2304. Is 147 <= g?
False
Suppose -1 = z + 2*l, 15 = -5*l + 5. Let r be (-8)/6*z/19. Which is smaller: r or -1?
-1
Suppose -5*b + u = 0, -2*b + 37*u - 36*u = 3. Which is bigger: b or 9/16?
b
Let l(i) = i + 42. Let k be l(-5). Is k greater than or equal to 36?
True
Let j be (4*5/(-10) - 1) + 3. Which is greater: j or -2/113?
j
Let i be 4/(-426)*3/(-2). Let c be (31 + -31)/((-6)/(-3) + 3). Is i at least c?
True
Let j = 188.8 - 189. Is -14.6 != j?
True
Let g = 11 - 8. Suppose b = -g*u - 1, 3*b - 4 = 7*b. Let z be (0 - u)*(-1)/2. Which is smaller: z or -1/6?
-1/6
Let q(u) = -67*u - 7. Let d be q(1). Let g = d - -84. Which is greater: 7 or g?
g
Suppose 16*s - 217 + 153 = 0. Which is smaller: s or -32?
-32
Let p be 3*(-14)/441*6/8. Are p and -19 equal?
False
Suppose -4*l = 5*n - 476, -7*l + 5*n = -2*l - 550. Let f be (2/(-6))/(-3 - (-340)/l). Which is smaller: 17 or f?
17
Let f = 9617 + -9609. Let l be (-11 + 1)*(-4)/6. Is f < l?
False
Suppose 2*g = 3*g + 3*o - 9, 5*g - 11 = 2*o. Suppose -20 = -4*n, -b - 2 + 13 = -g*n. Let j = 20 - b. Which is greater: -7 or j?
j
Suppose 18*m - 14 = 4*m. Let c = 47/66 + -2/3. Which is smaller: c or m?
c
Let c(g) = -4*g. Let o be c(-1). Let z be o/(-22) + (-840)/(-264). Suppose 4*d - z*b + 96 = 0, 0*d = -d - 4*b - 5. Is d at least -20?
False
Let p be (-3 - 1)*77/11264. Which is greater: -1 or p?
p
Let w(j) = -j**3 - 4*j**2 + 2*j - 7. Let n be w(-5). L
|
{
"pile_set_name": "DM Mathematics"
}
|
: 7}?
7/12
Three letters picked without replacement from {u: 10, h: 9}. Give prob of sequence uhh.
40/323
Four letters picked without replacement from vhthxthmxthvqtxtthv. What is prob of sequence tthm?
25/15504
What is prob of sequence jjx when three letters picked without replacement from xxxxjjxyxpyx?
7/660
What is prob of sequence zkxz when four letters picked without replacement from {x: 1, k: 2, z: 4}?
1/35
Two letters picked without replacement from oooaaoaoaa. What is prob of sequence oa?
5/18
What is prob of sequence cj when two letters picked without replacement from {j: 2, c: 4, m: 6, d: 1}?
2/39
What is prob of sequence jm when two letters picked without replacement from {m: 2, j: 3}?
3/10
Two letters picked without replacement from pfxiifqqqbqqqqpfipq. What is prob of sequence px?
1/114
Two letters picked without replacement from gugui. Give prob of sequence uu.
1/10
Three letters picked without replacement from smkqe. What is prob of sequence keq?
1/60
Calculate prob of sequence xt when two letters picked without replacement from xxttx.
3/10
Calculate prob of sequence twdl when four letters picked without replacement from {w: 4, d: 5, l: 3, t: 1}.
1/286
What is prob of sequence nnl when three letters picked without replacement from olpplvpvvvllvnllnvl?
7/2907
Two letters picked without replacement from zixxx. What is prob of sequence zi?
1/20
Two letters picked without replacement from zgzggzgqqqqqqgg. What is prob of sequence zq?
3/35
Calculate prob of sequence cc when two letters picked without replacement from {c: 7, d: 6}.
7/26
What is prob of sequence eg when two letters picked without replacement from eeeggeegee?
7/30
Calculate prob of sequence eowe when four letters picked without replacement from mwemwowwem.
1/630
Three letters picked without replacement from {s: 5, x: 4, c: 1}. Give prob of sequence xxs.
1/12
What is prob of sequence ss when two letters picked without replacement from {r: 8, x: 1, s: 4, o: 4, i: 1, m: 2}?
3/95
Two letters picked without replacement from {d: 5, r: 1, m: 7, x: 6}. Give prob of sequence mm.
7/57
Calculate prob of sequence ei when two letters picked without replacement from {i: 1, e: 7}.
1/8
Calculate prob of sequence kgg when three letters picked without replacement from kgeekg.
1/30
What is prob of sequence iio when three letters picked without replacement from iobobaaaoaaipbibbbbb?
1/380
Three letters picked without replacement from firyyhfmrrrh. Give prob of sequence yfr.
2/165
What is prob of sequence ftbf when four letters picked without replacement from fofbbfft?
1/70
Calculate prob of sequence hklv when four letters picked without replacement from hlkvjljov.
1/756
What is prob of sequence yj when two letters picked without replacement from {b: 1, j: 1, y: 2, o: 2}?
1/15
What is prob of sequence kp when two letters picked without replacement from {p: 5, k: 8, q: 2}?
4/21
Two letters picked without replacement from {n: 1, t: 1, e: 2, d: 11, j: 3, u: 1}. Give prob of sequence dn.
11/342
Three letters picked without replacement from errrre. What is prob of sequence err?
1/5
Four letters picked without replacement from sssuuausscusrrsusssa. Give prob of sequence urus.
10/2907
Calculate prob of sequence kk when two letters picked without replacement from {a: 11, k: 9}.
18/95
Two letters picked without replacement from {a: 2, h: 4, k: 1, z: 3}. What is prob of sequence ha?
4/45
Two letters picked without replacement from kiikikiikkkkfijikii. What is prob of sequence fk?
4/171
Calculate prob of sequence cccn when four letters picked without replacement from {n: 1, f: 5, c: 3}.
1/504
What is prob of sequence xs when two letters picked without replacement from xidlxdixlaisl?
1/52
Calculate prob of sequence jin when three letters picked without replacement from xziziinjiijzjz.
5/728
Two letters picked without replacement from awv. What is prob of sequence va?
1/6
Two letters picked without replacement from {l: 1, f: 1, h: 3, n: 3, i: 2, k: 3}. Give prob of sequence if.
1/78
Three letters picked without replacement from {j: 1, m: 1, q: 1}. What is prob of sequence mjq?
1/6
Two letters picked without replacement from uupdduffpppuu. What is prob of sequence fd?
1/39
Calculate prob of sequence zdn when three letters picked without replacement from {d: 1, n: 1, z: 7, y: 6}.
1/390
Calculate prob of sequence aw when two letters picked without replacement from wwqaaaqwww.
1/6
Three letters picked without replacement from {v: 4, h: 3, w: 4, b: 1, a: 6, c: 1}. What is prob of sequence vvv?
4/969
Three letters picked without replacement from ncnnnncnnccccccncnnn. What is prob of sequence ncn?
11/76
Three letters picked without replacement from {e: 2, x: 4}. What is prob of sequence exe?
1/15
Four letters picked without replacement from llooolo. What is prob of sequence oolo?
3/35
Calculate prob of sequence nun when three letters picked without replacement from nnnuunnunnnnnnn.
66/455
Three letters picked without replacement from tttttptpptpptpnmt. Give prob of sequence pnt.
9/680
What is prob of sequence tx when two letters picked without replacement from {t: 2, x: 1, a: 1, z: 5}?
1/36
What is prob of sequence sal when three letters picked without replacement from aldlliliss?
1/90
Three letters picked without replacement from mklylfg. What is prob of sequence ykg?
1/210
Calculate prob of sequence dg when two letters picked without replacement from dagaavdadaaa.
1/44
Calculate prob of sequence rzzz when four letters picked without replacement from lrzl.
0
Calculate prob of sequence gwfb when four letters picked without replacement from {w: 1, b: 3, q: 5, y: 5, f: 5, g: 1}.
1/7752
Three letters picked without replacement from zzztxmmtztzrmmtr. What is prob of sequence ztr?
1/84
Two letters picked without replacement from mxiwiw. Give prob of sequence wi.
2/15
Three letters picked without replacement from kyu. What is prob of sequence kky?
0
Two letters picked without replacement from {w: 2, q: 1, g: 1}. Give prob of sequence wg.
1/6
Calculate prob of sequence kkkh when four letters picked without replacement from {q: 4, h: 5, k: 3}.
1/396
Calculate prob of sequence fhhl when four letters picked without replacement from lfhfh.
1/30
Three letters picked without replacement from {w: 13, h: 6}. What is prob of sequence whh?
65/969
What is prob of sequence dddv when four letters picked without replacement from zzzdvvzdvvv?
0
Two letters picked without replacement from {c: 2, j: 6, v: 3, g: 1}. Give prob of sequence gj.
1/22
What is prob of sequence smm when three letters picked without replacement from {s: 1, m: 9, k: 1}?
4/55
Three letters picked without replacement from {i: 6, s: 4, f: 1}. Give prob of sequence sfi.
4/165
What is prob of sequence fqfq when four letters picked without replacement from qffqfqqfff?
1/14
Two letters picked without replacement from {v: 3, z: 2}. Give prob of sequence zv.
3/10
Two letters picked without replacement from {l: 10, x: 10}. Give prob of sequence lx.
5/19
What is prob of sequence pp when two letters picked without replacement from yyupyppp?
3/14
Calculate prob of sequence lhhl when four letters picked without replacement from hhll.
1/6
Two letters picked without replacement from {j: 7, b: 2, c: 1, g: 1, z: 1, q: 2}. What is prob of sequence zq?
1/91
Four letters picked without replacement from gxuuugb. Give prob of sequence uxub.
1/140
Three letters picked without replacement from {w: 2, t: 5, d: 2, k: 11}. What is prob of sequence dww?
1/1710
Four letters picked without replacement from {j: 7, a: 3, g: 2}. What is prob of sequence gjaa?
7/990
Two letters picked without replacement from {v: 7, f: 2, m: 5, j: 1, h: 1}. What is prob of sequence ff?
1/120
Calculate prob of sequence hch when three letters picked without replacement from cccchhcc.
1/28
Calculate prob of sequence jhj when three letters picked without replacement from {s: 2, h: 1, n: 3, q: 1, j: 4}.
2/165
Two letters picked without replacement from tjg. What is prob of sequence tj?
1/6
Two letters picked without replacement from qtxqyybytlqttt. What is prob of sequence tt?
10/91
Two letters picked without replacement from gbg. Give prob of sequence gg.
1/3
Two letters picked without replacement from vgxgvgg
|
{
"pile_set_name": "DM Mathematics"
}
|
tor of -27/11 and (-12)/(-18) - h/42?
154
Let d = -1263 - -10037/8. Let a = 206595/22 + -9389. Find the common denominator of a and d.
88
Suppose -2*b = 5*d - 60, 4*d + 4*b = d + 50. What is the least common multiple of 670 and d?
670
Let y(j) = j**2 + j - 352. Calculate the smallest common multiple of y(20) and 12.
204
Let x be -7 + 0/(-4) + -2. Calculate the common denominator of (-104)/x + 100/(-25) and 33/4.
36
Let q = -217729/27 + 8065. Let f = 8434 + -151741/18. Find the common denominator of f and q.
54
Let x = -1/346 - -1474/1211. Calculate the common denominator of 7/12 and x.
84
Suppose -3*c - 16 = c. Calculate the common denominator of ((-9)/(-212))/((c/16)/(-1)) and 3/10.
530
Let c = 6088171537/2450829810 + -120309/89479. Let r = -4/1245 + c. Calculate the common denominator of -85/2 and r.
22
Suppose -9 = r - 27. What is the least common multiple of ((-4)/r)/(3/(-27)) and 12?
12
Find the common denominator of 1054/(-748) + 5/2 + -2 and (1/(-4))/((-15)/130).
66
Let l = -27 + 49. Let b = -1720 - -1740. What is the lowest common multiple of l and b?
220
Let m(w) = w**3 - 27*w**2 + 55*w - 25. What is the smallest common multiple of m(25) and 35?
700
Let n(o) = o**2 - 13*o - 42. Let v be n(18). What is the least common multiple of (v/30)/(2/5) and 8?
8
Calculate the common denominator of -71/126 and ((-2)/24)/((-252)/(-96)).
126
Let i = -6/53 - 3268/159. Let x = 888 + -1841/2. Calculate the common denominator of x and i.
6
Suppose 4*t + t = 50. Let l be 2/t - 31284/2220. Let z = 10769/666 + l. What is the common denominator of 85/16 and z?
144
Suppose 4*i - 45 = -a, -a - 4*i + 132 = 3*a. Let x = a - 20. What is the least common multiple of x and 24/(-9)*(-3 - 0)?
72
Suppose 3*d = -9, 5*d + 15 + 0 = -5*z. Suppose 6*b - 3*b - 24 = z. Let l(o) = o + 3. Calculate the lowest common multiple of b and l(0).
24
Calculate the smallest common multiple of 16 and 11/((-77)/(-14))*56.
112
Suppose -2*x = -0*x - 2, 5*z + x - 16 = 0. Suppose -3*j = -3*w - 2*j + 30, 0 = -z*j. What is the least common multiple of w and 22?
110
Let v = -1/5683 + -176153/113660. What is the common denominator of -9*(0 + 62/(-96)) and v?
80
Suppose -5*w + 0*f = -3*f - 2126, -12 = -4*f. Let t = -21341/2 - -10253. Let s = t + w. Find the common denominator of 15/8 and s.
8
Suppose 19*h + 571 + 239 = -8*h. Let f = -328 + 997/3. What is the common denominator of f and h?
3
Let x(j) = -j**3 - 5*j**2 + 3*j - 17. Let b be x(-6). Let s = b - -13. Calculate the least common multiple of (-3)/9 + 49/3 and s.
112
Let z = 67 + -42. Find the common denominator of -11 and (-2)/10 - (-310)/z.
5
Let q = 39 - -241. Calculate the lowest common multiple of 70 and q.
280
Let u be -2 + 1*10221/24. Let h = u - 425. What is the common denominator of h and (-5)/(1 + (-3)/(-6))?
24
Find the common denominator of -9/94 and 5/(-2) - 4602/(-312).
188
Let g = 139945/41602 + -1/3782. Suppose 0 = t + 5 - 1. Find the common denominator of g and 15/(-11) + 12/t.
11
Suppose -f = -4*k - 0*k + 8, 4*k = 3*f. What is the lowest common multiple of k and 4?
12
Let u(v) = -7*v + 118. Calculate the lowest common multiple of 25 and u(9).
275
Let q = 105 - 75. Calculate the common denominator of -52/31 and (-92)/q*(-130)/(-104).
186
Suppose -3*b - 58 = -151. Suppose 0 = b*a - 26*a - 135. What is the least common multiple of a and 9?
27
Let r = -3/9353 + -794933/224472. What is the common denominator of r and -119/36?
72
What is the common denominator of -88/63 and 44/(-264) + (-218)/90 + 1?
630
Suppose -26*a + 23*a = -6. Find the common denominator of 54/(-21) + a + (-3944)/1232 and 33/32.
352
What is the least common multiple of 510 and 340/16*1*24?
510
Suppose 17*g - 104*g = -7395. What is the lowest common multiple of g and 9?
765
What is the lowest common multiple of 16/(-120)*5 - 220/(-6) and 20?
180
Suppose 5*x - 5*x = 3*x. Suppose -4*d - 4*d + 64 = x. Suppose -4*p = -3 - 45. Calculate the lowest common multiple of p and d.
24
Suppose 0*b = -3*b - 34539. Let u = 345469/30 + b. Let i = -43/12 + u. Calculate the common denominator of i and 83/14.
140
Let j = 26 - 22. Suppose -l + 12 = j. Suppose -11 - 7 = -2*s. What is the smallest common multiple of l and s?
72
Let y be (1 - 10006/1904) + 6/(-16). Let c = 35/17 + y. Calculate the common denominator of c and -5/8.
56
What is the common denominator of 37/12 and ((-32)/(-12))/(39/4)?
468
What is the common denominator of 49/66 and (1957/36256)/((-6)/(-8))?
264
Calculate the common denominator of 1/(-4)*76*1/14 and -5/7.
14
Let g = -12 - -14. Suppose -g*o = 4*v - 7*o - 33, 42 = 3*v + 2*o. Calculate the lowest common multiple of v and 18.
36
Let t = -94172609/20 + 4714948. Let u = -21410 - -15097. Let c = u + t. What is the common denominator of 23/2 and c?
20
Suppose 0 = q + 4*q - 25. Let w = -6 - -9. Suppose 8*x - w*x - 10 = 0. Calculate the least common multiple of x and q.
10
Suppose -f - 2*i - 2*i = 21, -2*f + 4*i = 42. Let q = 32 + f. Suppose 5*t - 3*c - 25 = 0, t - c = 3 - 0. What is the lowest common multiple of t and q?
88
Suppose -45*s = -47*s + 109238. Let y = 9831359/180 - s. What is the common denominator of y and 61/4?
180
Let s = -28 - -43. Suppose n = 5*d - 5 - 5, s = 3*n. Let g(h) = h**3 - 4*h - 1. Calculate the smallest common multiple of g(d) and 10.
70
Let g be (-14)/(-77) + (-92)/22. Let m(k) = -k**3 - 4*k**2 - 7*k + 4. What is the common denominator of m(g) and -50/3?
3
Find the common denominator of (-2)/8*((-20792)/(-876))/23 and 29/12.
876
Let g = -49427/6 - -8218. What is the common denominator of g and 2/(-12)*(-264)/(-27)?
54
Let r = -290/7 + 2425/56. Let f(i) = 5396*i - 2. Let p be f(-2). Let l = p - -237547/22. Find the common denominator of r and l.
88
Let z = -2545/3 + 836. Calculate the common denominator of z and (-2)/(-8) + 201/4.
6
Let z(j) = -4*j**2. Let o be z(1). Find the common denominator of (-39)/(-16) + o - 2 and 390/4*(-3)/(-27).
48
Let i(a) = -a**2 + 5*a - 11. Let u be i(3). What is the smallest common multiple of 7/35 + ((-19)/u)/1 and 2?
4
Calculate the common denominator of 301/60 + (-8)/(-24) + -1 and 77/40.
40
Let f = -30518 + -47552. Let r be 4/(-14) - f/168. Let d = r - 2825/6. What is the common denominator of d and -31/16?
48
Let a = 25 + 3. Suppose -40 = a*o - 33*o. Calculate the smallest common multiple of 12 and o.
24
Suppose 4*k - r - 10 = -0*r, -2*k = 2*r. Calculate the least common multiple of 562 and k.
562
Suppose 2*z = -89 - 147. Let d = z - -120. What is the lowest common multiple of (1*-1)/((-3)/42) and d?
14
Suppose x + w = 36, -x = -19*w + 16*w - 36. Calculate the least common multiple of x and 12.
36
Let s = -2950 - -23565/8. What is the common denominator of s and 33/205?
1640
Let z = -259/8 - -60741/1880. Find the common denominator of z and -30/329.
3290
Let k = -205 - -301. Suppose -5*h = -h - k. Suppose -5*q + 120 = 4*j, q - 7*j - h = -3*j. What is the least common multiple of 6 and q?
24
Let k(r) = -r**3 + 4*r**2 + 7*r - 13. What is the least common multiple of k(4) and 5?
15
Let l be (3 + 2)*2/5. Suppose 0 - 20 = -l*u. What is the least common multiple of u and (4/14)/(-23*(-24)/15456)?
40
Let i(y) = y**2 + 14*y + 46. Let t be i(-9). What is the common denominator of 262/(-36) - (t - 1) and 91/12?
36
Let g be 425986/69036 - (-2)/6. Let o = g + -2/523. What is the common denominator of o and 41/8?
8
Calculate the lowest common multiple of 16 and 1/1 + (28 - -3)/1.
32
What is the common denominator of (-3)/(-1) - (-712)/80 and 1/12 + 399/72?
40
Let h = 265/12 - 52/3. Find the common denominator of 1/216 and h.
216
Let n = -5647/168 + 413/12. What is the common denominator of n and 75/16?
112
Let f(y) = y**2 - 3. Let k be f(3). Suppose 35 = 5*v + 5*o, 5*v - 2*o = -0*o. Suppose v*d + 2 = k. Calculate the common denominator of -17 and d.
1
Let d(o) = -o**3 + 11*o**2 + 5*o - 40. What is the least common multiple of d(10) and 5?
110
Suppose q = 5*r + 42, -4*q - 18 = 5*r + 14. Let d be (12/(-4) - -2)*3. Let l = d - r. Calculate the least common multiple of l and 6.
30
Calculate the smallest common multiple of (-10)/(-2)*20/25 and (-50)/(-13) + (-22)/(-143).
4
Let z = 3839513/14736 - 2547/1228. Let f = -779/3 + z. What is the common denominator of -71/10 and f?
80
Let y be -4 - 1*4/(-2). What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
/4? (a) -0.5 (b) d (c) 1/3
a
Let j be ((-2)/(-10))/((-4)/10). Which is the nearest to j? (a) -3/4 (b) -2 (c) 2/5
a
Let z = 23 - 27. What is the closest to z in 1/2, 3, 3/2?
1/2
Let p(l) = -l**3 - 3*l**2 - 4*l - 2. Suppose -4*y = -0*y + 8. Let n be p(y). Let f be n/7 + (-46)/14. What is the nearest to -1 in f, -2, -4/3?
-4/3
Let s = 289/7 + -41. Let f = -4/27 + 98/297. Which is the nearest to s? (a) 0 (b) f (c) -4
b
Suppose 0 = -3*t - 2*t. Let w = -414 + 3730/9. Let h be 2/((3 - 10)/1 - 2). What is the closest to t in h, w, 2?
h
Let o = -2.7 + 2.51. Let k = o + 0.09. What is the nearest to k in 1, -4/5, 0.4?
0.4
Let v be ((-4104)/(-26) + 2)*1. Let r = v + -160. Let x = -0.4 + 0.1. What is the nearest to -1 in 2/13, x, r?
x
Let c = -0.3 - -0.2. Let l be (1 - -1)/(2/4). Let z be (-12)/30 - 34/(-10). What is the nearest to c in l, -2, z?
-2
Let i = -3.5 + 3.6. Which is the nearest to i? (a) -2/9 (b) 3 (c) 0.3
c
Let n(b) = b + 2. Let a be n(-3). Let z be (-1 - a)*(-4)/8. What is the nearest to z in -4/7, -1, 0.2?
0.2
Let h be 5/(-2) + (-3 + 3)/(-1). Let d be (4/16)/(6/(-16)). What is the nearest to d in 0, h, 6/7?
0
Let n = 835/7 - 119. What is the closest to -1 in n, -0.1, 3/4?
-0.1
Suppose -2*s - 8 = -w + s, 0 = -2*w + s + 6. Let k be (-44)/(-8) + (-1)/w. Let i be 5 + -5 - (-3)/5. What is the nearest to 2/7 in i, 0.3, k?
0.3
Let v = 2 - 3. Let p = -54.29 + 54. Let q = 0.79 + p. Which is the closest to 2/7? (a) -2 (b) v (c) q
c
Suppose 0*y = -5*y, 2*o + 3*y = 0. Let s = o + 0. What is the closest to s in 0, 1, 0.3?
0
Let h = 1 - 2. Let c = 1 + 4. Let q = -0.05 + -0.15. What is the closest to q in c, -0.1, h?
-0.1
Let k be 5/75 + (-2)/(-6). What is the nearest to -9/5 in 0.3, 0.5, k?
0.3
Let f = -6824 + 225233/33. Let w = -21/11 + f. Which is the closest to -2? (a) w (b) -1 (c) -0.4
b
Let p = -0.7 - -0.5. Let n = 17 + -17.1. Let l = 716/55 - 66/5. What is the closest to n in 1, p, l?
l
Let v(g) = g**3 - 2*g**2 - 3*g - 3. Let o be v(3). Which is the nearest to 0.5? (a) o (b) 0.1 (c) 0.2
c
Let f be (-35)/14*2/(-10). What is the nearest to -2/7 in f, -1, 4/3?
-1
Let j = 9 + -6. Let y = 3 - j. Which is the closest to y? (a) -4 (b) 5 (c) 0.4
c
Let l = -83 + 251/3. Which is the nearest to l? (a) 3 (b) 2/25 (c) 3/5
c
Suppose 0 = 3*x + q - 12, 2*q + 4 = x - q. Which is the nearest to -4? (a) 0 (b) 3/2 (c) x
a
Let q = 7 + -10. Let k = 1.4 - 0.8. Let h = k - -0.4. Which is the nearest to 1? (a) h (b) 1/4 (c) q
a
Let t = -20 - -24. Which is the closest to 1/4? (a) t (b) 6 (c) 3
c
Let u = -23.7 + 24. Which is the closest to 0.6? (a) u (b) 1 (c) -4/3
a
Let y = 3 - 2. Let h = -11/26 - 1/13. What is the closest to h in y, 0.1, -4?
0.1
Let r = -1.6 - -16.6. Which is the nearest to -0.1? (a) -0.5 (b) r (c) 5/2
a
Let d = -12.4 - -12.7. Which is the nearest to 2? (a) d (b) 3/4 (c) -2
b
Let o be (8/30)/((-2)/3). Let y = 25 - 28. What is the closest to -4/7 in o, 1/3, y?
o
Let g = 0.09 + 2.91. Let o = -4 - -7.5. Let x = g - o. Which is the closest to -0.1? (a) 3 (b) x (c) -2/7
c
Let j = -3 + 4. Let f = -200 - -202. Which is the nearest to j? (a) f (b) -2 (c) -1/4
a
Let k(u) = u + 1. Let v be k(-2). What is the nearest to v in -0.3, -4/7, 2?
-4/7
Suppose 0 = -2*w - w - 3. What is the closest to 0.8 in -0.3, 2, w?
-0.3
Let q = 179/4 + -45. Let s = 0.2 - -0.1. Which is the closest to q? (a) 5/3 (b) s (c) -1/4
c
Let o = 5.2 + -0.2. Let s = -5 + 11/2. Let u = 2.9 + -3. Which is the nearest to u? (a) o (b) s (c) -0.2
c
Let t = -0.08 + 0.28. Let p = 1371/2 + -4373/6. Let h = p - -43. What is the nearest to -1 in t, h, -3?
h
Let p = -1.36 + -21.44. Let t = p - -23. Suppose g = 5*n + 13 + 1, 4*g + n + 7 = 0. What is the nearest to -2/3 in 0.05, t, g?
g
Let k = 33 + -47. Let q = k - -10. Which is the closest to 4/7? (a) 1 (b) q (c) -2/7
a
Let u = -32 + 31. What is the nearest to 1 in 4, u, -3/8?
-3/8
Let w be (-6)/8 - 1/(-4). Let k be ((-9)/(-2))/(4*-3). What is the closest to -1/4 in k, w, 1?
k
Let n = -0.2 - -0.3. What is the closest to n in 0.2, 5, 19?
0.2
Suppose 0 = -5*c - 4*v - 13, -4*c - 3 - 5 = 4*v. What is the closest to 0.06 in -1, c, 0.5?
0.5
Suppose 0 = 4*g - 3*g - 2. What is the nearest to 1 in g, -2/7, -4?
g
Let j = 19 + -24. Suppose k + 7 = -3*f - 7, -5 = f. Let t = 0.4 + -0.3. Which is the closest to t? (a) 2/5 (b) j (c) k
a
Let r = 74 + -70. Which is the closest to 1/3? (a) 1 (b) r (c) 2/13
c
Suppose 5*g - n = n + 4, 3*n - 5 = 2*g. Let s be (7/14)/((-1)/18). Let u be -3 - (14/s - 1). What is the nearest to g in u, -2/11, -4?
-2/11
Let s = -0.04 + 0.04. Which is the nearest to 0? (a) -0.2 (b) 3/5 (c) s
c
Let v = -0.05 + -0.15. Which is the closest to -1? (a) -2/7 (b) v (c) -2
a
Let w = -18.1 + 18. What is the closest to -1/3 in -5, -3, w?
w
Let w = -493/5 + 99. Suppose 4*c - 5 = -1. Let d be ((-2)/(-3))/((-4)/6). What is the closest to -1 in c, d, w?
d
Let n = 3 + -4. Let h = -5.5 - -6. Let y = h + 0. What is the closest to 1 in n, y, -0.3?
y
Let n be ((-6)/27)/(7/(-63)). What is the closest to 2 in n, -2/11, -0.4?
n
Let g = 64261 + -4177132/65. Let p = g - -36/13. Let f = -0.4 + -0.1. Which is the nearest to -1? (a) f (b) 3 (c) p
a
Suppose -3*r - 3 = 5*o - 26, -18 = -4*o - 2*r. Let y be 84/135 - 4/10. Let k be (-10)/4*(-1)/(-5). What is the closest to k in y, o, -1?
-1
Let x be (-34)/(-72) - 2/9. Let p = 19.05 + -0.05. Let r = p + -21. What is the closest to r in 1, x, 4?
x
Let p = 13.3 - 12. Let f = p + -0.6. Let h = 3.7 - f. Which is the nearest to -3? (a) 2/15 (b) -3/8 (c) h
b
Let n = -0.03 + -0.12. Let m = -0.15 - n. What is the closest to m in 1, -2/5, -1/2?
-2/5
Let d = 183 + -183.3. Which is the nearest to d? (a) -3/2 (b) 2/3 (c) -2
b
Let s be 2 + 5 + 2 + -4. Let c be 2 + (-2 - (-4)/(-10)). What is the nearest to 1 in -4, s, c?
c
Let g = -1.2 + -3.8. Which is the closest to 2/3? (a) 1 (b) g (c) -0.7
a
Let z = 3.2 + -3.6. What is the closest to 0.2 in 0, z, 0.1?
0.1
Let m = 4 + -7. Let q be (-1)/(-3) + -2*12/99. What is the closest to -0.1 in q, m, -0.4?
q
Let p = -2 + 2.06. Let v = -0.16 + p. Which is the nearest to 0.1? (a) v (b) 5 (c) 0
c
Suppose -2*u = -4 - 2. Let x = 13.5 + -22.6. Let o = x + 9. Which is the closest to o? (a) 2 (b) u (c) 0.3
c
Let v be (-2)/(-5) + 78/(-120). Suppose 3*f - 5*d + 67 = 0, 3*f = -0*d - d - 37. Let a be -2 - (-1 - (-10)/f). What is the nearest to 1/2 in v, 2/7, a?
2/7
Let o be 23/25 + 2 - 3. Which is the nearest to -2/7? (a) -3 (b) o (c) -0.1
c
Let s = -183 + 183.2. What is the nearest to 0 in s, 5, -17?
s
Let m = -1 + 1. Suppose 60 = -3*f + 7*f. Let h = -46/3 + f. Which is the nearest to m? (a) -3 (b) 4 (c) h
c
Let o = 0.09 + -0.89. Let i = o + -4.2. Let j = 13/21 + -128/105. What is the closest to 0 in -2, j, i?
j
Let s be 2/16*-2*2 + 1. What is the nearest to s in -3/5, 0.5, -2?
0.5
Suppose 0 = -x - 0 - 2. Which is the closest to 0.2? (a) x (b) -5 (c) 2/7
c
Let t(q) = -6*q**3 - q**2 + q + 1. Let o(g) = g**3 - g**2. Let z(k) = -5*o(k) - t(k). Let n be z(-6). What is the nearest to -3 in 1, -1/6, n?
-1/6
Let n be 6/21 - (-40)/(-91). Which is the nearest to 0? (a) 1 (b) n (c) -3
b
Let x = -1 + 0. Let z = 374/7 + -5722/105. Let p = 7/5 + z. What is the nearest to x in -3, -0.4, p?
-0.4
Let g = 0.09 + -1.09. Let r = g + 0.8. Which is the nearest to 0? (a) r (b) 2 (c) 1
a
Let o = -0.5 - 0.5. Let h = -1.1 - o. What is the nearest to h in -2, 0.5, -4?
0.5
Let o(m) = m**3 + 9*m**2 - 10*m + 6. Let v be o(-10). Which is the nearest to -1? (a) v (b) -0.03 (c) -5
b
Let l = 2.23 + -1.23. Which is the nearest to l? (a) 1/7 (b) -2/13 (c) 1
c
Let s be ((-39)/9 - -4)*-15. Let o = -0.2 - -0.1. Suppose -4*h - 6 - 6 = 0. Which is the closest to o? (a) 2/13 (b) s (c) h
a
Let z be (-20)/28 - 2/7. Let r = -2 + 1.5. What is the closest to z in 1/9, r, 3?
r
Suppose d = -0*d - 20. Let q be (-2)/(-10)*d/16. Which is the closest to q? (a) -3/7 (b) -4/7 (c) 0.2
a
Let x = -2.5 - -1.5. Let k be 4/(-32)*(3 + -2). Let s = -2.2 - 0.8. Which is the closest to x? (a) -2/21 (b) s (c) k
c
Let h(z) = z**3 - z**2 - z - 1. Let r be h(-1). What is the nearest to -0.1 in 1, -1/2, r?
-1/2
Let s(n) = 7*n**2 - 3*n + 1. Let i be s(1). Let f = -
|
{
"pile_set_name": "DM Mathematics"
}
|
5)/(-10)). Is m greater than or equal to -1686?
False
Suppose -157*r - 198 = -151*r. Let y(h) = 6 + 8 + 47*h - 39*h. Let x be y(-6). Which is bigger: x or r?
r
Let j(b) = -4*b + 11. Suppose 5*x + g + 2*g = 0, 4*g + 29 = 3*x. Let l be j(x). Let c = 0.98 - 1. Which is smaller: l or c?
l
Let o = 4.15 + -176.15. Let c = o + 171.9. Are c and 15 equal?
False
Suppose 0 = -3*n + 9*n + 30. Let q be (n + 2*(-645)/(-10))/(-2). Is q less than or equal to -63?
False
Let d(i) = -43*i**2 - 462*i - 2808. Let h be d(-6). Is h greater than -1585?
True
Let o = 5771 - 5769. Which is bigger: o or -433?
o
Let a be (-8)/12 + (-4)/24*-34. Let t = -142 + 147. Suppose -t*x = -5*i + 55, 9*i - 4*i = -a*x + 45. Which is smaller: 12 or i?
i
Let q be (-6 - -2)/(4/14). Let p be ((1 - 3) + 8)*q/4. Let k = p - -13. Which is greater: -15/2 or k?
-15/2
Let v = -23139.2 + 23139. Which is bigger: 5981 or v?
5981
Let l = 0.13708 - 0.03708. Which is smaller: l or -5.751?
-5.751
Let z be (-1 - -13) + (-1176734)/98072. Which is smaller: 1 or z?
z
Let z(x) = x**3 - 49*x**2 - x + 50. Let y be z(49). Which is bigger: -1/57 or y?
y
Suppose 12*l + 448 = 4*l. Let s = l - -395/7. Let v be (3 - 6) + 2 + 2. Which is smaller: v or s?
s
Let g = 52 - 62. Let z be -5 - 1 - (33 + -30). Which is bigger: g or z?
z
Suppose 13*g = 5*g + 48. Suppose -107 - 7 = g*h. Is h < -22?
False
Suppose -137 = -5*b + 2*d, -4*b - d - 4*d + 103 = 0. Let k be (-2)/(-6) + 7311*(-3)/b. Let h be ((k/(-6))/7)/(3/9). Which is bigger: h or 59?
59
Let g = -398 + 426. Let m be 13/((-4641)/g)*3. Are m and 0.2 equal?
False
Let v = -0.2 + 0.2. Let s = 4.11 - 3.892. Let l = s + 14.782. Which is greater: l or v?
l
Let q(k) = -2*k**2 - k + 4. Let x be (-3 - 3 - -1)*-1. Let b be (-15 + x)/5 + 0. Let s be q(b). Is -30/13 greater than s?
False
Let a be ((-2)/(4/2))/(15/73800*12). Are -407 and a equal?
False
Let b = 1116 - 1115.9387. Let v = 0.0213 - b. Do 3.1 and v have different values?
True
Suppose -2*b + 35188 = 4*g + 120518, -5*b = -g - 21305. Let p be (-6)/45 - 2934/g. Are 0 and p non-equal?
True
Let z = 1630.1 - 1630. Let d = 20 + -20.9. Which is smaller: z or d?
d
Let k(g) = -g**2 - 84*g - 599. Let q be k(-7). Which is greater: -245/4 or q?
q
Let l = -2669/36 - -215335/2988. Are -1 and l unequal?
True
Let y = 6404 - 6165. Which is bigger: y or 238?
y
Let g = -83/17 - -2803/595. Let q be 2/9 + (-24)/108. Is q smaller than g?
False
Suppose 1 = -h, 5*h + 425 = -4*j - j. Let p be ((j/15)/(-14))/(2/(-20)). Is p at most 9?
True
Let g(n) = -6*n**2 + 63*n + 95. Let u be g(11). Is u greater than 229?
False
Suppose -3*u = -0*u - 9, -50 = 5*q - 5*u. Let r be ((-16)/28)/((-8)/112). Let v be -8 + 0*r/(-56). Which is greater: v or q?
q
Let z = -52/77 + 1825/308. Suppose 2*i - i - 6 = 0. Which is smaller: z or i?
z
Suppose 2*s - 10 = -3*t - 5, 2*s = 4*t - 30. Suppose t*w = -25, -5*j + 5*w - 240 + 675 = 0. Which is smaller: j or 83?
j
Suppose -10*u = -8*u - 4*t + 6, 2 = -2*u + 2*t. Are -1/1070 and u unequal?
True
Let m(b) = -10*b + 130. Let r be m(13). Suppose 5*p - q - 118 = 0, 0 = p + 2*q - r - 17. Let i(u) = 3*u**2 + 2*u. Let v be i(-3). Is v at most p?
True
Let m = -6.21 + -0.04. Let c = -6.3 - m. Which is smaller: -12 or c?
-12
Let n = -21.931 + -3.069. Is -47 greater than or equal to n?
False
Suppose 322*h - 317*h + 11 = -2*l, 5*l = -h - 16. Is -3/632 < h?
False
Let j(r) = -3*r**3 + 50*r**2 + 39*r - 426. Let h be j(17). Which is bigger: -18 or h?
-18
Let m be (1823*1/15)/((-49)/(-2205)*-15). Are 1 and m unequal?
True
Let u = 549 - 1186. Let q = -636 - u. Is q <= -458?
False
Suppose 2*w + 16*w = 72. Suppose 4*k + k - 2*o = 411, -w*o - 93 = -k. Is k smaller than 82?
True
Let n(x) = 3*x**2 - 9*x - 7. Let z(d) = 3*d**2 - 9*d - 7. Let l(a) = -3*n(a) + 2*z(a). Let v be l(4). Which is bigger: -24/5 or v?
-24/5
Suppose 0 = 8*w - 9*w. Suppose w = 113*x - 106*x - 735. Is 106 at least as big as x?
True
Let n = -53.05 - -54. Let x = n + -0.85. Which is bigger: -112/13 or x?
x
Let w = -108301/639 + 1526/9. Let n be (-85)/((-2380)/(-2324)) - -84. Is n less than w?
False
Suppose 212*p + 152841 = 251*p. Is p at most 3919?
True
Let c = 0.05 - -0.7. Let b = c + -0.85. Is 33/8 bigger than b?
True
Suppose 0 = 5*u - c + 43, -u + 5*c + 3 = 2. Let s be 64 + 2 - u/(-9). Is 65 bigger than s?
False
Let h be 5470/(-9) + (-60)/270. Let v be 2702/38 - (-64)/h. Which is smaller: 74 or v?
v
Let k = 8096.27 + -8096. Is 12/11 != k?
True
Let l be (3 - (-393)/(-12))/(2/8). Let w = l - -141. Suppose -3*i - 4*j - 17 = -4*i, -2*i + 5*j + w = 0. Is i != -1/17?
True
Let a = 0.4431 - 0.3231. Which is smaller: 0.32 or a?
a
Let f be 3900/(-3171) - (-160)/112. Is -1 at most as big as f?
True
Let v = -2.2 - -13.7. Let u = -0.5 + v. Suppose -11*q - 1 + 23 = 0. Which is smaller: q or u?
q
Suppose -6 = -4*f + 10*f. Let b be (f + (0 - -2))*(-2 + 14). Let h = b + -42. Is h less than or equal to 1?
True
Let d be 2/(-32)*2*(-4518)/(-6). Is -93 greater than or equal to d?
True
Let n(y) = y**3 - 50*y**2 + 616*y - 1. Let c be n(28). Which is bigger: c or 1/68705?
1/68705
Suppose -3*q + 11 = -3*l - 109, 2*l = -q - 68. Is -3 > l?
True
Let z be ((-1464)/(-6) - 6)*1. Suppose -122 = 4*u + z. Which is smaller: -363/4 or u?
-363/4
Suppose 24*f + 20*f - 26*f + 174690 = 0. Which is smaller: -9706 or f?
-9706
Let q be 2 - 144/(-320)*5*(1 - 733). Is q at most -1646?
False
Let f = -15113 + 29575/2. Which is smaller: -326 or f?
-326
Suppose 15*u - 20*u = -33*u - 1652. Is u less than -71?
False
Suppose -2*p - p = -3. Let v(m) = -5*m - 116. Let o be v(-24). Let r be 1*45/(-13) + o. Which is smaller: p or r?
r
Let s = 0.68 + 0.32. Let k(g) = g**3 + 18*g**2 + 20*g + 3. Let i be k(-15). Which is greater: i or s?
i
Let i = 20566 - 18136. Is i <= 2431?
True
Let x(g) = 11 - 2*g**2 + g**2 - 13 - 2*g + 7. Let d be x(0). Suppose i - 6 = -4*h - 2, -d*h = 2*i - 5. Which is smaller: i or 16?
i
Suppose 5*z + m = 15, 0 = -z + 4*m + 26 - 2. Suppose -4*x = -5*w + 13 + 42, -2*x - z*w = 34. Is 1 > x?
True
Let b be (528/(-40))/(2/(-10)). Let o = 114 - b. Let g be (-4)/(-20)*(-15)/o. Do g and 0 have different values?
True
Let p be ((282/3)/1)/((-13)/10). Let v = p - -72. Which is smaller: v or 1?
v
Let w = 157 + -156.943. Let i = w - -0.039. Is 2 >= i?
True
Let n = 4/811 + 5661/3244. Let r be 10/4 + -2 - 1. Is r at most n?
True
Suppose 7*b = -10*b - 19*b - 36. Is -15/401 != b?
True
Let f = -319 + 478. Let l = 156.4 - f. Which is bigger: l or 0?
0
Let f = -49/274 - -17825/95078. Let i = -5531/2429 - f. Suppose 5*l - 4*g + 215 - 234 = 0, l - 3*g - 17 = 0. Which is smaller: l or i?
i
Suppose -154*c - 241 - 221 = 0. Is c >= 225?
False
Let n = 1/134 + 3749/402. Which is smaller: n or 0.3?
0.3
Let m = 0.3 - 0.5. Let a = -565.465 + -2.905. Let o = 568 + a. Are m and o nonequal?
True
Suppose 3*t - 16 - 16 = -4*m, 3*t - 2 = 2*m. Suppose -t*s = -3*s - 37. Suppose -7 = -3*o - s. Which is smaller: o or -8?
o
Let r = -717/88 - -67/8. Let u = -4841 - -4841. Is r less than u?
False
Let t be (-2*65/6250)/(2/4). Which is bigger: 1 or t?
1
Let c = 2789 + -2523.9. Let o = c - 265. Which is greater: -16.1 or o?
o
Let i = -156 - -157. Are -4466 and i nonequal?
True
Let u = 1982.1 - 1982. Is -6127 at most u?
True
Let i(k) = -k**2 - k + 1. Let b(d) = 5*d**2 - d - 3. Let h(j) = b(j) + 4*i(j). Let z be h(5). Let x be (-1)/(2 + 64/(-62)) + 1. Is z <= x?
False
Suppose 0 = 3*m - 5*i - 30, -m - 3*m - 3*i + 11 = 0. Suppose -m*n - 208 = -13*n. Let h = n + -27. Which is greater: h or 1/4?
1/4
Let c be (152 - -2)/((-10)/415). Which is smaller: -6392 or c?
-6392
Let j = 1.329 - -0.071. Let v = j - 2.4. Which is greater: -8/5 or v?
v
Let l = -350 + 349. Let a be ((-40)/(-570))/((-1)/(15/(-14))). Let q = a + 11/133. Which is smaller: q or l?
l
Let s = 4 + -3. Let u be 7/(-735)*47 - (66/(-15) - -4). Which is bigger: u or s?
s
Let l be (-1)/(-12)*144/64*2. Suppose -5*s + 47 = 2*m + m, 2*m + 3*s = 32. Suppose -4*o + 3*k = -16, -3*o + 4*k + m = 2*o. Which is bigger: l or o?
o
Suppose -g + 25 = 5*p, 4*p - 3*p - 5 = 0. Suppose 4 = -4*x - 4*b, g*b + 1 = -5*x - b. Is x smaller than 10?
True
Let y = 526 - 263. Let d = 790/3 - y. Is d equal to -55?
False
Suppose -w - 16 + 6 = 0. Let o be (8/w)/((-39)/30). Let p be (0/1)/((9 - 18)/9). Which is greater: p or o?
o
Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
r of 1 and k.
1
Suppose 0 = -10*m + 9 + 21. Suppose -t + 30 = 2*j, 4*t + m*j = -2*j + 117. Suppose k = -2*k + 210. What is the highest common divisor of k and t?
14
Suppose 12*w - 20 = 16*w, -380 = -2*i - 2*w. Calculate the greatest common divisor of 975 and i.
195
Let d(u) = -5*u + 3. Let n be d(-6). Let t = -266 + 272. Let y be t/((-10)/(-175)*7*5). Calculate the greatest common factor of n and y.
3
Let p(r) = -9 + 4 + 6 + 2*r. Let t be p(1). Suppose 2*y = t + 11. Calculate the highest common divisor of 21 and y.
7
Let p(q) = -22*q**2 + 8*q - 11. Let u(h) = -11*h**2 + 3*h - 5. Let y(b) = 4*p(b) - 9*u(b). Let t be y(2). Calculate the highest common factor of 5 and t.
5
Let x(a) = a**2 - a - 8. Let n be x(0). Let m be 2/13 - n/(-104)*-427. Calculate the greatest common factor of m and 33.
33
Suppose -m - 3*m = -704. Let j be (-68)/((-2)/2) - 4. Suppose 34*u = 38*u - j. Calculate the greatest common factor of u and m.
16
Let p be (-8890)/(-40) - (-3)/4. Let a = -135 + p. Let g = -2222 - -2233. What is the highest common divisor of a and g?
11
Let c(r) = 2*r**2 - 73*r - 751. Let g be c(-9). What is the highest common divisor of g and 68?
68
Let r = -68 + 134. Let s = r - 44. Let z = -247 + 489. What is the greatest common factor of s and z?
22
Let n = 15441 + -15416. What is the greatest common divisor of 135 and n?
5
Let q = -101 + 13. Let d = q + 96. Let z = -133 - -205. What is the greatest common factor of z and d?
8
Suppose 0 = 4*k - 28, -3*x + 2*k + 686 = -350. What is the highest common factor of 150 and x?
50
Let i(n) = -n**3 - 39*n**2 - 398*n - 30. Let q be i(-24). What is the highest common factor of 1274 and q?
98
Let a = -32408 - -48893. Calculate the highest common factor of 35 and a.
35
Let k(d) = 3*d - 6. Let i(c) = 2*c - 3. Let l(f) = -9*i(f) + 4*k(f). Let y be l(-3). Let x = -1329 + 1413. Calculate the highest common divisor of x and y.
21
Let l be ((-25)/225)/(3/(-9531)). Let p = l + -341. Calculate the highest common divisor of 96 and p.
12
Suppose -21*l + 4081 = 3073. Calculate the highest common divisor of 128 and l.
16
Let a(l) = -3*l - 34. Suppose 441 - 25 = -16*p. Let j be a(p). What is the greatest common divisor of j and 110?
22
Suppose d + d + 1020 = -v, 4*v = 0. Let l = -276 - d. What is the highest common divisor of l and 18?
18
Let k = 20 + 17. Let m = k - 23. Let l = m - -16. What is the greatest common divisor of l and 10?
10
Let u(i) be the first derivative of 5*i**2 + 13*i + 1/4*i**4 + 5 + 10/3*i**3. Let x be u(-9). What is the greatest common divisor of x and 32?
4
Let f = 335 + -185. Suppose -913*n - 356 = -4*j - 915*n, -5*j - 4*n = -442. Calculate the greatest common divisor of j and f.
30
Let k be 4/(-18) + (-65)/(-9). Let l(o) = -265 + 4492*o + 4457*o - o**2 - 8982*o. Let w be l(-17). What is the highest common divisor of k and w?
7
Let t(w) = -211*w**2 - 1380*w. Let p be t(-6). Calculate the highest common factor of 72 and p.
36
Suppose -5*x - 10386 = -n, -25*n = -29*n - 2*x + 41632. Calculate the greatest common divisor of n and 11.
11
Suppose -266477 - 23736 = -27*z - 52640. Calculate the highest common factor of z and 21.
21
Let u = -23 + 5. Let c(g) = -2 - g**2 - 8 - 19*g + 2 + 7 - 1. Let y be c(u). Calculate the greatest common divisor of 72 and y.
8
Suppose 40*a - 321 = 799. What is the greatest common divisor of a and 238?
14
Suppose 4*n + 3*y = 561, 9 = -2*y - 1. Let z(c) = -5*c + 25. Let l be z(4). Suppose -2*m + 112 = l*m. Calculate the greatest common divisor of m and n.
16
Let n(y) = -60*y**3 + 4*y**2 + 3*y. Let l be n(-1). Let w = 90 - l. What is the greatest common factor of w and 58?
29
Let r be 2/3*57/38. Calculate the highest common divisor of r and 77.
1
Let t = 1993 - 1177. Suppose 9*k - 6*k = t. Calculate the greatest common divisor of k and 34.
34
Let j = 166 + -161. Suppose j*u = 2098 + 2907. What is the greatest common factor of u and 91?
91
Let r be -17 + (8 - 60/5). Let j(l) = 3*l + 163. Let w be j(r). Calculate the highest common divisor of w and 140.
20
Let a = 30554 + -30522. Calculate the highest common divisor of 8088 and a.
8
Let n(j) = j**2 + 19*j + 89. Let f be n(-14). Suppose p + 60 = 212. Calculate the greatest common divisor of p and f.
19
Let v(s) = -4*s - s**2 + 14 - 3 - 5 - s. Let y be v(1). Suppose y = -r - 0*r + 130. Calculate the greatest common factor of r and 20.
10
Let u be (25 - 21) + 1 + -3. Suppose u*c - 114 = 274. Let m = c + -134. What is the highest common divisor of 90 and m?
30
Suppose f = -k + 498, 2*k + 996 = 2*f - 3*k. Let r = 537 - f. What is the greatest common divisor of r and 3?
3
Let y(n) = 2*n**3 - 38*n**2 - 128*n - 52. Let w be y(22). What is the highest common divisor of 14436 and w?
36
Let f(w) = -9*w**2 - 1. Let r be f(1). Let s be 6/(-45)*-3 - r/(-25). Suppose s = 5*d - 10, -d + 5 = j + d. What is the highest common divisor of 10 and j?
1
Let i(x) = 92*x**2 + 9*x + 48. Let t be i(-3). Calculate the greatest common factor of 13301 and t.
283
Suppose -x + 44 = 2*y, -5*x = -x + 2*y - 188. Let w be (-298)/(-8) - (174/24 + -7). Suppose -2*f - w = -109. What is the greatest common divisor of f and x?
12
Let v = 351 - 92. Let j = 278 - v. What is the greatest common divisor of j and 171?
19
Let v(t) = -13*t**3 + 16*t**3 - t + 62 - t - t**2 + 15*t**3 - 57. Let w be v(3). Calculate the greatest common divisor of 136 and w.
68
Let h = -121 - -209. Suppose -356 = -4*i + a - 3*a, i + a = 90. Suppose -i = -9*q + q. Calculate the greatest common divisor of h and q.
11
Suppose 3210 = j + 2*r, -r + 9708 = 4*j - 3181. What is the greatest common factor of 260 and j?
52
Let o(v) = 2*v**3 - 116*v**2 + 21*v - 593. Let q be o(59). Calculate the greatest common factor of q and 120.
24
Let d = 490 - 486. Suppose -2*p + 32 = -d*k, 6*k - 2*k + 72 = 4*p. What is the highest common factor of 70 and p?
10
Let k = 1410 + -1370. Let q = -74 + 119. What is the greatest common factor of k and q?
5
Let u(v) = 131*v - 2074. Let n be u(16). Let i(b) = 176*b. Let r be i(1). What is the highest common divisor of n and r?
22
Let h = 5051 - 4988. What is the highest common divisor of h and 348?
3
Let x(b) = 16*b - 140. Let m be x(8). Let v be 5/15 - 212/m. Calculate the highest common divisor of v and 117.
9
Suppose -2*y + 148 = 7*h - 11*h, 0 = -5*y + 5*h + 365. Let w = 23 - 11. What is the greatest common factor of w and y?
12
Let z = -80 + 98. Suppose 36 = 3*c - 2*o - 6, -2*c - o + 28 = 0. What is the highest common factor of z and c?
2
Let v(u) = -14*u. Let d be v(-1). Let j(p) = -31*p**2 - 788*p - 3. Let h be j(-25). Calculate the greatest common divisor of d and h.
14
Let i(w) = w**3 + w**2 + 4*w. Let t(q) = -q**3 + 5*q**2 - 5*q. Let r be t(3). Let k be i(r). Calculate the greatest common divisor of k and 168.
24
Suppose 30 = 3*h - 3*t, 0 = h + 3*h - 2*t - 36. Suppose 7*m - h = 76. Suppose 245 = m*d - 7*d. What is the greatest common divisor of 392 and d?
49
Let n be ((-6)/4)/(6/(-32)). Suppose -1163*w + 9149 = -1318. Calculate the highest common factor of n and w.
1
Let n(s) = -2*s**3 - 21*s**2 + 9*s - 17. Let b be n(-11). Suppose 4*h - 5*i = 35, 0 = -b*h + i + 2*i + 47. Calculate the highest common factor of h and 45.
5
Suppose 1241 + 1267 = 11*l. What is the highest common factor of 18 and l?
6
Let j = 3 - 1. Let m be (-216)/(-32) - (-3)/12. Suppose 4 - 116 = -m*c. Calculate the highest common factor of c and j.
2
Let k = -416 - -611. Let s = 282 - k. Calculate the greatest common factor of s and 58.
29
Let h = 9149 - 9067. What is the highest common factor of h and 4059?
41
Let w(s) = -32*s - 12. Let t be (-33)/(-9) + 4/12. Let c be w(t). Let g = -74 - c. Calculate the highest common divisor of 99 and g.
33
Let k(z) = z**3 + 3*z**2 + 8*z - 10. Let q be (-23 - -28)*(-1 + 2). Let g be k(q). What is the greatest common divisor of 10 and g?
10
Let k(a) = -2*a**2 + 3*a + 104. Let q be k(6). Calculate the highest common divisor of q and 2050.
50
Suppose 0 = -31*p + 30*p + 6. Suppose 0 = -4*d + 5*x + 52 + 78, 4*d - 112 = -4*x. Calculate the highest common divisor of d and p.
6
Suppose 5*o - 87 = -72. Suppose 4*n + o*a = 43, 12*n - 10*n - 11 = -5*a. Calculate the greatest common factor of 208 and n.
13
Let a = 35 + -33. Let k be 5 + -5 - ((-2)/a - 4). Suppose 6*z = 11*z -
|
{
"pile_set_name": "DM Mathematics"
}
|
hen 379 is divided by 22?
5
Calculate the remainder when 1941 is divided by 160.
21
What is the remainder when 347 is divided by 88?
83
Calculate the remainder when 427 is divided by 86.
83
Calculate the remainder when 1461 is divided by 291.
6
What is the remainder when 2229 is divided by 9?
6
What is the remainder when 133 is divided by 23?
18
Calculate the remainder when 21 is divided by 11.
10
Calculate the remainder when 37 is divided by 9.
1
What is the remainder when 7 is divided by 5?
2
What is the remainder when 24 is divided by 1?
0
Calculate the remainder when 18199 is divided by 55.
49
What is the remainder when 87 is divided by 80?
7
What is the remainder when 91 is divided by 60?
31
Calculate the remainder when 48 is divided by 23.
2
What is the remainder when 164 is divided by 49?
17
What is the remainder when 10 is divided by 5?
0
What is the remainder when 324 is divided by 22?
16
Calculate the remainder when 2127 is divided by 16.
15
Calculate the remainder when 100 is divided by 56.
44
What is the remainder when 643 is divided by 46?
45
Calculate the remainder when 98 is divided by 19.
3
What is the remainder when 109 is divided by 10?
9
Calculate the remainder when 1920 is divided by 273.
9
Calculate the remainder when 63 is divided by 26.
11
Calculate the remainder when 385 is divided by 13.
8
What is the remainder when 718 is divided by 12?
10
What is the remainder when 479 is divided by 13?
11
What is the remainder when 23 is divided by 5?
3
What is the remainder when 31 is divided by 19?
12
Calculate the remainder when 247 is divided by 22.
5
Calculate the remainder when 25 is divided by 14.
11
Calculate the remainder when 559 is divided by 181.
16
What is the remainder when 55 is divided by 33?
22
What is the remainder when 14304 is divided by 251?
248
What is the remainder when 32978 is divided by 340?
338
What is the remainder when 83 is divided by 14?
13
Calculate the remainder when 39 is divided by 4.
3
What is the remainder when 636 is divided by 29?
27
Calculate the remainder when 6897 is divided by 75.
72
What is the remainder when 287 is divided by 17?
15
Calculate the remainder when 244 is divided by 62.
58
What is the remainder when 18538 is divided by 45?
43
What is the remainder when 459 is divided by 46?
45
Calculate the remainder when 1024 is divided by 38.
36
What is the remainder when 849 is divided by 29?
8
Calculate the remainder when 213 is divided by 87.
39
Calculate the remainder when 76 is divided by 16.
12
Calculate the remainder when 3417 is divided by 32.
25
Calculate the remainder when 258 is divided by 26.
24
What is the remainder when 77 is divided by 23?
8
What is the remainder when 1133 is divided by 375?
8
What is the remainder when 228 is divided by 59?
51
What is the remainder when 340 is divided by 13?
2
What is the remainder when 153 is divided by 73?
7
What is the remainder when 595 is divided by 562?
33
What is the remainder when 373 is divided by 121?
10
What is the remainder when 653 is divided by 172?
137
Calculate the remainder when 528 is divided by 87.
6
Calculate the remainder when 6836 is divided by 40.
36
What is the remainder when 48 is divided by 37?
11
What is the remainder when 1226 is divided by 41?
37
Calculate the remainder when 154 is divided by 28.
14
Calculate the remainder when 9942 is divided by 195.
192
What is the remainder when 9503 is divided by 32?
31
What is the remainder when 89 is divided by 15?
14
What is the remainder when 3879 is divided by 3874?
5
Calculate the remainder when 8874 is divided by 46.
42
What is the remainder when 58 is divided by 4?
2
Calculate the remainder when 658 is divided by 51.
46
What is the remainder when 18083 is divided by 44?
43
Calculate the remainder when 266 is divided by 42.
14
What is the remainder when 141 is divided by 6?
3
What is the remainder when 549 is divided by 22?
21
Calculate the remainder when 103 is divided by 45.
13
What is the remainder when 2145 is divided by 37?
36
Calculate the remainder when 2885 is divided by 160.
5
What is the remainder when 267 is divided by 22?
3
Calculate the remainder when 6611 is divided by 1321.
6
What is the remainder when 679 is divided by 62?
59
Calculate the remainder when 765 is divided by 180.
45
Calculate the remainder when 124 is divided by 2.
0
What is the remainder when 238 is divided by 57?
10
Calculate the remainder when 46537 is divided by 358.
355
Calculate the remainder when 1205 is divided by 31.
27
What is the remainder when 449 is divided by 13?
7
What is the remainder when 568 is divided by 122?
80
What is the remainder when 321 is divided by 25?
21
Calculate the remainder when 569 is divided by 284.
1
What is the remainder when 306 is divided by 4?
2
Calculate the remainder when 282 is divided by 12.
6
Calculate the remainder when 182 is divided by 6.
2
What is the remainder when 1164 is divided by 383?
15
Calculate the remainder when 3368 is divided by 135.
128
Calculate the remainder when 498 is divided by 63.
57
What is the remainder when 48138 is divided by 29?
27
Calculate the remainder when 209 is divided by 198.
11
Calculate the remainder when 113 is divided by 54.
5
What is the remainder when 523 is divided by 7?
5
Calculate the remainder when 459 is divided by 235.
224
What is the remainder when 2514 is divided by 68?
66
What is the remainder when 1677 is divided by 112?
109
Calculate the remainder when 87 is divided by 25.
12
Calculate the remainder when 146 is divided by 121.
25
Calculate the remainder when 2322 is divided by 193.
6
What is the remainder when 25 is divided by 17?
8
Calculate the remainder when 122 is divided by 38.
8
Calculate the remainder when 249 is divided by 25.
24
Calculate the remainder when 403 is divided by 68.
63
Calculate the remainder when 218 is divided by 73.
72
What is the remainder when 381 is divided by 197?
184
Calculate the remainder when 64 is divided by 21.
1
Calculate the remainder when 10894 is divided by 25.
19
Calculate the remainder when 60 is divided by 10.
0
What is the remainder when 1729 is divided by 57?
19
What is the remainder when 289 is divided by 116?
57
What is the remainder when 876 is divided by 220?
216
What is the remainder when 372 is divided by 133?
106
Calculate the remainder when 7033 is divided by 35.
33
What is the remainder when 45 is divided by 8?
5
Calculate the remainder when 1046 is divided by 50.
46
Calculate the remainder when 508 is divided by 32.
28
What is the remainder when 427 is divided by 95?
47
Calculate the remainder when 1368 is divided by 171.
0
What is the remainder when 97 is divided by 10?
7
What is the remainder when 8786 is divided by 58?
28
What is the remainder when 120 is divided by 105?
15
Calculate the remainder when 1493 is divided by 8.
5
What is the remainder when 217 is divided by 22?
19
What is the remainder when 1841 is divided by 365?
16
Calculate the remainder when 54 is divided by 50.
4
Calculate the remainder when 16 is divided by 7.
2
What is the remainder when 82 is divided by 38?
6
What is the remainder when 10 is divided by 8?
2
Calculate the remainder when 807 is divided by 133.
9
Calculate the remainder when 356 is divided by 115.
11
What is the remainder when 109 is divided by 35?
4
What is the remainder when 1233 is divided by 137?
0
Calculate the remainder when 58 is divided by 6.
4
What is the remainder when 903 is divided by 10?
3
Calculate the remainder when 332 is divided by 16.
12
What is the remainder when 55 is divided by 5?
0
Calculate the remainder when 166 is divided by 13.
10
What is the remainder when 158 is divided by 41?
35
What is the remainder when 461 is divided by 39?
32
Calculate the remainder when 205 is divided by 32.
13
Calculate the remainder when 113 is divided by 15.
8
Calculate the remainder when 72 is divided by 18.
0
Calculate the remainder when 123 is divided by 22.
13
What is the remainder when 1175 is divided by 129?
14
Calculate the remainder when 670 is divided by 213.
31
What is the remainder when 254 is divided by 65?
59
Calculate the remainder when 609 is divided by 165.
114
What is the remainder when 54 is divided by 47?
7
What is the remainder when 355 is divided by 109?
28
Calculate the remain
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3*d = 65. Let l(j) = -5*j**3 - 11*j**2 - 11. Give k*n(h) + q*l(h).
3*h**3
Let z(q) = 3*q**2 - 2*q - 2. Let d(g) = 54*g - 7. Determine -d(i) + z(i).
3*i**2 - 56*i + 5
Let v(u) = 14*u**3 - 2*u**2 + 14*u. Let s(k) = -532*k**3 + 77*k**2 - 532*k. What is 2*s(c) + 77*v(c)?
14*c**3 + 14*c
Let h(j) = 3*j. Let t(p) be the second derivative of -2*p**3/3 - p**2/2 + 4*p - 185. Calculate -4*h(b) - 5*t(b).
8*b + 5
Let w(g) = -10*g**2 - g + 437. Let y(i) = -i**2 + 1. What is -w(f) + 2*y(f)?
8*f**2 + f - 435
Let z(d) = 9*d + 1. Suppose 127*q - 53*q - 296 = 0. Let r(c) = -6*c + 0*c - 1 + c. Determine q*z(h) + 7*r(h).
h - 3
Let h(t) = -68*t. Let b(p) = -4*p + 60. Let k(q) = -4*q + 72. Let r(f) = -6*b(f) + 5*k(f). Calculate -4*h(x) - 72*r(x).
-16*x
Let n(d) = -110*d + 14. Let m(o) = -o**3 + o**2 + 56*o - 132. Let j be m(-8). Let q(y) = 37*y - 5. Give j*n(z) - 11*q(z).
33*z - 1
Let c be (42/8)/(12/(-640)*-8). Let a(n) = 120*n + 35. Let v(z) = z + 1. Let f(t) = -10*t - 5. Let l(p) = f(p) + 3*v(p). Calculate c*l(r) + 2*a(r).
-5*r
Let n(o) = -1959*o**3 + 3*o + 4. Let a(y) = 1959*y**3 - 4*y - 6. Calculate -2*a(i) - 3*n(i).
1959*i**3 - i
Let o(i) = -364*i**3 + 6*i**2 - 7*i + 6. Let v(f) = 745*f**3 - 13*f**2 + 15*f - 13. Calculate -13*o(t) - 6*v(t).
262*t**3 + t
Let x(s) = 6*s - 169. Let b(o) = o + 51. What is -b(v) - x(v)?
-7*v + 118
Suppose 218 = 6*u + 8. Let c be 5*1*(-7 + 252/u). Let l(p) = p - 1. Let h(q) = -12*q + 4. Determine c*h(i) + 6*l(i).
-6*i - 2
Let k(w) = -8378*w**3 + 295*w**2 - 295*w + 295. Suppose 20*o = 12*o + 5*o - 885. Let z(q) = -57*q**3 + 2*q**2 - 2*q + 2. Calculate o*z(r) + 2*k(r).
59*r**3
Let i(p) = -11*p**3 - 7*p**2 + 11*p + 7. Let o(t) = 5*t**3 + 3*t**2 - 5*t - 3. Let v = -250 + 243. Calculate v*o(w) - 3*i(w).
-2*w**3 + 2*w
Let p(k) = -2*k**2 + 6*k + 5. Suppose 0 = -0*s - 2*s + 2. Let u(i) be the first derivative of i**3/3 - i**2/2 - i - 59349. Give s*p(q) + 4*u(q).
2*q**2 + 2*q + 1
Let p(b) = 156 - 468 + 4*b + 158 + 156. Suppose 9 = 5*g - 2*g. Let o(h) = g*h + 4*h + 0*h + 0*h + 3. Calculate 3*o(y) - 5*p(y).
y - 1
Let w(k) = -k**3 - 10*k**2 - 3*k - 1. Let m(t) = -60*t**3 + 19*t**2 + 7*t. What is -m(r) - 2*w(r)?
62*r**3 + r**2 - r + 2
Let s(g) = 59*g + 17. Let a(r) = -163*r - 47. Let l(h) = 4*a(h) + 11*s(h). Let o(y) = 4*y + 1. Determine -5*l(p) - 4*o(p).
-p + 1
Let c(n) = 2606*n**2 - 4*n - 10. Let v(x) = 5211*x**2 - 9*x - 23. What is -7*c(q) + 3*v(q)?
-2609*q**2 + q + 1
Let y(z) = -23*z - 26. Let r = 1040 - 1034. Let l(q) = 8*q + 9. Suppose -5*x + 0*x + 85 = 0. Determine r*y(n) + x*l(n).
-2*n - 3
Let d(c) = -6*c**3 + 2*c**2 - 6*c. Let x(g) = -6*g. Determine d(v) - 6*x(v).
-6*v**3 + 2*v**2 + 30*v
Let g(r) = 735*r**2 + 4*r + 9. Let t(j) = -3*j**2 + j + 2. Give g(x) - 4*t(x).
747*x**2 + 1
Let a(g) = 4*g**2 + 604*g + 11. Let m(b) = 5*b**2 + 763*b + 12. What is -4*a(j) + 3*m(j)?
-j**2 - 127*j - 8
Let f(u) = 4*u + 7. Let i(o) = -2*o - 3. Suppose -20*r + 372 = -20*r - 93*r. Calculate r*f(l) - 7*i(l).
-2*l - 7
Let m(z) = z**3 - 305*z**2 - 9*z. Let a(l) = 356*l**2 + 10*l. What is -6*a(p) - 7*m(p)?
-7*p**3 - p**2 + 3*p
Let x be (18/(-8)*2)/(3/(240/(-20))). Let w(p) be the second derivative of 0 - 1/2*p**2 + x*p. Let b(v) = 4*v + 6. What is -b(s) - 6*w(s)?
-4*s
Let k(v) = -17*v - 11. Let t(p) = 1 + 1 - 6 + 8 + 6*p. Let s(b) = 37*b - 403. Let u be s(11). Determine u*k(c) + 11*t(c).
-2*c
Suppose 4204 = 15*z + 4234. Let j(b) = -26*b + 2. Let d(x) = 1846*x - 143. Calculate z*d(w) - 143*j(w).
26*w
Let g(d) = 26*d**3 - 3*d**2. Let y = 10771 + -10656. Let q(v) = -989*v**3 + 115*v**2. Give y*g(u) + 3*q(u).
23*u**3
Suppose j - 4*c = -13, 5*j - 3*c + 49 = c. Let r be j/(-12) + 3/12. Suppose 25 = 6*g - 11*g. Let k(d) = d**2 + 6*d. Let l(n) = n. Calculate g*l(x) + r*k(x).
x**2 + x
Let i(z) be the third derivative of z**4/12 - 5*z**3/6 + 34799*z**2. Let w be 3/(-1 + 2*1). Let h(l) = -2*l + 4. Determine w*h(f) + 2*i(f).
-2*f + 2
Let z(x) = 5 - 12 + x + 6 + 2. Let i(w) = -8*w - 9. What is -i(o) - 6*z(o)?
2*o + 3
Let h(p) = 12023*p - 85. Let k(x) = -4007*x + 30. Calculate -6*h(y) - 17*k(y).
-4019*y
Let c(b) = b**3 + b + 1. Let n(r) be the third derivative of -r**6/24 - 11*r**5/60 - r**4/6 - 2*r**3/3 + 2*r**2 + 567*r + 2. Give 4*c(p) + n(p).
-p**3 - 11*p**2
Let s(n) = n**2 + 3*n + 1. Let l(b) be the third derivative of b**5/30 + b**4/6 + b**3/6 - 4113*b**2. Give 2*l(a) - 3*s(a).
a**2 - a - 1
Let b(j) = 8*j + 11. Let m(l) = -1234*l - 4931. Let k be m(-4). Let w(x) = 9*x + 12. What is k*w(g) - 6*b(g)?
-3*g - 6
Let k(m) = -13*m**3 + 428*m - 17. Let w(i) = 7*i**3 - 214*i + 9. What is -8*k(r) - 15*w(r)?
-r**3 - 214*r + 1
Let g(v) = v - 1. Let c(d) = 12*d**2 + 10*d - 10. Let f = -11253 - -11273. Calculate f*g(o) - 2*c(o).
-24*o**2
Let i(k) = k. Let u(a) = 2*a**2 + 2*a - 177. Give -3*i(q) + u(q).
2*q**2 - q - 177
Let k(d) = -d**2 + 3*d**3 - 2*d**2 - 161*d + 60*d + 52*d + 52*d + 0 + 4. Suppose 0 = -l + 6*l - 15. Let v(g) = -6*g**3 + 5*g**2 - 5*g - 7. Give l*v(s) + 5*k(s).
-3*s**3 - 1
Let m(b) = 18*b**3 - 7*b**2 - 6*b + 7. Let g(a) = 4*a**3 - a**2 - a + 1. Determine -6*g(x) + m(x).
-6*x**3 - x**2 + 1
Let n(h) = 1413. Let c(y) = -202. Let k(g) = -7*c(g) - n(g). Let u(s) = -s. Let t(d) = -2*d + 2*d + 0*d - 2*d. Let p be t(1). Give p*k(r) - u(r).
r - 2
Let r(b) = -26*b**2 - 12*b + 26. Let q(w) = -52*w**2 - 26*w + 52. What is 6*q(t) - 13*r(t)?
26*t**2 - 26
Let b(w) be the first derivative of 5*w**2 + 9*w + 5075. Let i(z) = -9*z - 8. Determine -4*b(p) - 5*i(p).
5*p + 4
Let l(c) = -32381*c - 85. Let q(f) = -16190*f - 34. Give -2*l(b) + 5*q(b).
-16188*b
Let v(x) = -7*x. Let w = 547 + -391. Suppose 23*l + 29*l + w = 0. Let i(a) = 7*a. What is l*i(c) - 4*v(c)?
7*c
Let c(z) = 11*z - 3. Let g(i) = 0 + 2*i + 8*i - 4*i - 2. Let p be (-18)/36 + 10/4. Suppose p = -2*l - 4. Calculate l*c(v) + 5*g(v).
-3*v - 1
Let n(w) = 2*w - 5. Suppose 0 = -2*a - o - 10, -304*a = -316*a + 2*o - 44. Let j(q) = -2*q + 4. What is a*n(d) - 5*j(d)?
2*d
Let x(k) = -76*k - 1166. Let m(c) = -35*c - 582. Give -13*m(z) + 6*x(z).
-z + 570
Let r(a) = 86 + 8*a - 47 + 3*a**2 - a - 31. Let u(o) = o + 1. What is r(g) - 6*u(g)?
3*g**2 + g + 2
Suppose 4*m = 5*m + 4. Let t(j) = 14*j**2 + 5*j - 3. Let p(a) be the third derivative of -13*a**5/60 - a**4/6 + a**3/3 + a**2 - 74*a. Determine m*t(k) - 5*p(k).
9*k**2 + 2
Let n(s) = 32*s**2 - 5*s - 379. Let i(z) = -106*z**2 + 16*z + 1140. Give -3*i(w) - 10*n(w).
-2*w**2 + 2*w + 370
Let c(n) = 26*n**3 - 4*n**2 - 4*n. Let g(z) be the second derivative of 77*z**5/20 - 11*z**4/12 - 11*z**3/6 + 377*z + 3. Give 11*c(r) - 4*g(r).
-22*r**3
Let b(o) = 3*o**3 - 5*o**2 - 2*o. Let r(d) = -7*d**3 + 10*d**2 + 5*d. Let p be ((-3)/(-15))/(17/(-425)). Determine p*b(c) - 2*r(c).
-c**3 + 5*c**2
Let d(i) = 184*i + 98. Let w(s) = -369*s - 162. Determine -5*d(z) - 3*w(z).
187*z - 4
Let i(b) = 0*b**2 + 6*b**3 - 3*b**2 - 3361 + 1682 + 1682 + 4*b. Let r(x) = 12*x**3 - 7*x**2 + 9*x + 7. Calculate 7*i(v) - 3*r(v).
6*v**3 + v
Let s(l) = 7*l**3 + l**2 + l. Let m(z) = -29*z**3 - 24*z**2 - 2*z - 3. Give -m(i) - 4*s(i).
i**3 + 20*i**2 - 2*i + 3
Let i(h) = -39*h**2 - 15*h. Let k(z) = 10*z**2 + 4*z. What is 5*i(j) + 21*k(j)?
15*j**2 + 9*j
Let r(z) = -17*z**3 - 9*z + 161. Let n(g) = 15*g**3 + 8*g - 161. What is 7*n(i) + 6*r(i)?
3*i**3 + 2*i - 161
Let c(k) = 19*k - 7. Let p = -6224 + 6220. Let n(x) = 6*x - 2. What is p*c(i) + 14*n(i)?
8*i
Let g(n) = -n - 4. Let j be 606*((-84)/(-18))/(-7). Let b = j + 409. Let p(w) = -2*w - 3. Calculate b*g(k) - 6*p(k).
7*k - 2
Let u(j) = 55669*j + 17. Let n(f) = 18556*f + 6. Calculate 17*n(l) - 6*u(l).
-18562*l
Let h(r) = 140655*r**2 + 12*r - 24. Let i(k) = -59159492*k**2 - 5047*k + 10094. What is 5047*h(z) + 12*i(z)?
-28119*z**2
Let o(q) = 5*q - 2*q + 0*q. Let b(u) = -u. Let v = -17975 - -17977. Give v*o(w) + 4*b(w).
2*w
Let s(l) = -7*l**3 - 6*l**2 - 6*l + 17. Let m(c) = -1401*c**3 + 11*c**2 - 7 + 11*c + 1414*c**3 - 26. Determine -6*m(k) - 11*s(k).
-k**3 + 11
Let d be 1 + 0 + -1 + 3. Let i(f) = -4 + 0*f**2 - d + f**2 + 5 + f. Let h(b) = 146*b + 6 - 51*b - 3*b**2 - 98*b. Determine -6*h(t) - 17*i(t).
t**2 + t - 2
Let m(p) = -157*p - 3. Let c(s) = -313*s - 6. Calculate 6*c(d) - 13*m(d).
163*d + 3
Let j(o) be the first derivative of 3*o**2/2 - 6092. Let t(g) = 28*g. Suppose w - 2*r = 3
|
{
"pile_set_name": "DM Mathematics"
}
|
qrt(13)*-4 + -1 - (sqrt(13) - sqrt(52)/(sqrt(12)/sqrt(3) + sqrt(4))))**2.
-243/4 + 9*sqrt(13)
Simplify 2*(1 + -1*1*sqrt(98)) - (2 + (-6*sqrt(12)*2)/((sqrt(72)*1)/sqrt(12))).
-2*sqrt(2)
Simplify (sqrt(10) + (sqrt(360)*3 - sqrt(360) - sqrt(360)))/(sqrt(4)/(sqrt(12)/sqrt(6))) - (sqrt(120)/sqrt(2)*-4)/(sqrt(108)*-4 + sqrt(12))*5.
57*sqrt(5)/11
Simplify (5 + (sqrt(243)*1 - sqrt(243) - sqrt(9)/sqrt(3)*-3))**2 - -5*(2*sqrt(1728))**2*1.
30*sqrt(3) + 34612
Simplify -4*(3*(sqrt(700) + 0 + -3 - (-6*(sqrt(700) + 2) - sqrt(700))))**2*5.
-8078580 - 259200*sqrt(7)
Simplify (((sqrt(720) + sqrt(45) + sqrt(45))*-1 - 2*sqrt(405)) + (sqrt(90) - 2*sqrt(90))/sqrt(2) + (2*sqrt(270))/sqrt(6))/(-5*-1*sqrt(900)*-3).
11*sqrt(5)/150
Simplify (4*((sqrt(14)*-1 + sqrt(14))/sqrt(7) + 6*(sqrt(18))**2) - (-3 + (sqrt(162) - sqrt(162)*-2)*4)**2) + -4.
-22909 + 648*sqrt(2)
Simplify (sqrt(36)*2)/sqrt(12) + sqrt(1764)/sqrt(12) + -3 + 1 + sqrt(12) + -2.
-4 + 11*sqrt(3)
Simplify ((-3*sqrt(405) + 1 + -1*(sqrt(405) + -2) - (4 + sqrt(405) + -2 - (6*-1*sqrt(405) + sqrt(405)))) + -5)**2.
720*sqrt(5) + 40516
Simplify 3 + 4 + (((sqrt(136) - sqrt(136)*2)*-3)/(sqrt(8) + (2*sqrt(1152) - sqrt(8))) - (4 + (sqrt(272)*-1 + sqrt(17))**2)*3).
-464 + sqrt(17)/8
Simplify ((4*-1*sqrt(72) - sqrt(72) - (sqrt(72) + sqrt(72) + sqrt(72) + (4 + sqrt(72)*1 - sqrt(72))))*3 + (1 + sqrt(72) + -4 - sqrt(72))*-5 + 0)**2.
-864*sqrt(2) + 41481
Simplify 1*(2 + (5*(sqrt(432) + -2*(2*sqrt(432) - sqrt(432)) + sqrt(432)))/(sqrt(18)/sqrt(32) - sqrt(9) - -3*sqrt(36))).
2
Simplify ((sqrt(60) + 4*sqrt(960))*5)/((6*sqrt(720))/(sqrt(9) + (sqrt(9) - (sqrt(9) - 1*sqrt(36))))).
85*sqrt(3)/4
Simplify (-6*1*sqrt(1088))**2 + 1 + (3 + 1 + sqrt(272) + 1*sqrt(272)*-6)**2.
-160*sqrt(17) + 45985
Simplify ((sqrt(200)/(-1*sqrt(4)))/(6*sqrt(2)*-2))/(1*sqrt(405)*-2*-4).
sqrt(5)/864
Simplify (((2*sqrt(1872) + sqrt(1872))*1 - sqrt(1872))*-6)**2 - 1*(2 + (3*(sqrt(1872) + -2*sqrt(1872))**2 - sqrt(1872))).
12*sqrt(13) + 263950
Simplify -3*(-3 + (3*-4*sqrt(66))/sqrt(6)*-1)*2.
-72*sqrt(11) + 18
Simplify ((-5*(sqrt(1008) + -1 + 4 + sqrt(1008)) + 3*(sqrt(1008) + 0) + 2)*-3 + -4)**2 + 5.
17640*sqrt(7) + 445758
Simplify ((sqrt(102) - (5*-2*sqrt(102) + sqrt(102)))*-1*1)/(sqrt(66)/(-2*sqrt(44))*-2).
-20*sqrt(17)
Simplify ((sqrt(528)/(sqrt(132)/sqrt(396)))/(sqrt(20)/(sqrt(20)/sqrt(4)) + sqrt(4) + (sqrt(4) + sqrt(64))*-1))**2*4.
176
Simplify (2 + ((2 + 1 + sqrt(700))*6)**2*-1)*5.
-127610 - 10800*sqrt(7)
Simplify 1 + (-2*sqrt(3300))/(sqrt(11) + 2*sqrt(704)) + (-2*sqrt(1344))/((sqrt(252) - sqrt(63)) + sqrt(7)).
-88*sqrt(3)/17 + 1
Simplify 2 + sqrt(325) + -1 - 5*-1*sqrt(325) - (1*1*sqrt(325) + (-2 + sqrt(325))*1)*4.
-10*sqrt(13) + 9
Simplify -3 + -4*(-3 + -5 + -4*-2*sqrt(252) + 5).
-192*sqrt(7) + 9
Simplify (2*-2*(2*(2 + sqrt(57)/sqrt(3) - sqrt(19)) + 0 + sqrt(1900) + 2*sqrt(2299)) + 5)**2.
2816*sqrt(19) + 311417
Simplify (sqrt(117)/((sqrt(72)/sqrt(6))/sqrt(4) + sqrt(3)))/(-6*(2*sqrt(75) + sqrt(75) + sqrt(75))) + 0.
-sqrt(13)/240
Simplify -2 + (4 + 4*(sqrt(162)*3 + sqrt(162) + -3)*4 + -4)**2.
-55296*sqrt(2) + 665854
Simplify 3*(-4 + sqrt(99) + sqrt(99)*2 + -1 + -4*3*sqrt(99) + 2)**2*1.
486*sqrt(11) + 24084
Simplify (-5*((sqrt(448) - (-1 + (sqrt(448) + 1 - sqrt(448)))) + sqrt(448))*-4 - (-5 + -1 + -5 + sqrt(448) + -1 + sqrt(448)))**2.
7296*sqrt(7) + 647056
Simplify (sqrt(560)*-6 + 1*sqrt(560))/(((2*sqrt(42) - sqrt(42))*3)/sqrt(6))*2*4.
-160*sqrt(5)/3
Simplify ((sqrt(98) + (sqrt(98) + -6*sqrt(98)*-1 + sqrt(98) - sqrt(98)))/sqrt(288))/(sqrt(3087)*-2*3).
-sqrt(7)/189
Simplify ((-3 + ((4 + -1*sqrt(208) - sqrt(208)) + sqrt(208) - ((sqrt(208) + sqrt(208) + 1 + sqrt(208) - sqrt(208)) + -3)) + -4)*1)**2.
24*sqrt(13) + 1873
Simplify (6*((-2*sqrt(2200))/(sqrt(11) + (sqrt(11) - 4*sqrt(11)*-1) - sqrt(11) - sqrt(11)) + 3 + -4))**2.
360*sqrt(2) + 1836
Simplify 3*(2 + 2 + sqrt(320) + -3) + (sqrt(80)/(1*sqrt(2)))/(sqrt(16)/sqrt(2)*-2 + sqrt(8))*-1.
3 + 25*sqrt(5)
Simplify (4*(5*(-2 + 5*(sqrt(147)/sqrt(3))/sqrt(7) + 3) + 5))**2.
8000*sqrt(7) + 71600
Simplify ((3*sqrt(3) - sqrt(3)) + 1 - ((3*sqrt(24))/sqrt(8) + sqrt(3))) + -3 + -5 + 2 + sqrt(147).
-5 + 5*sqrt(3)
Simplify (((3 + 1 + sqrt(2057) - (2*sqrt(2057) + 4)) + 2 + 2)*-1)**2.
-88*sqrt(17) + 2073
Simplify (sqrt(243)/sqrt(9) + ((sqrt(48))**2 - sqrt(3)) + -1 - ((-1*sqrt(108))**2 + 1*(sqrt(3) + sqrt(3) + -1)))*5.
-300
Simplify (1 + 5*(2 + -2 + -6*(5 + sqrt(180) - sqrt(5) - sqrt(20)*-6)))**2.
151980*sqrt(5) + 1322701
Simplify ((6*(-2*sqrt(1872) + (sqrt(52) + (sqrt(52) - -4*sqrt(208)) - sqrt(52))))/((sqrt(1936) - 2*sqrt(1936))*3))**2.
117/121
Simplify -5*((((sqrt(385) - 1*sqrt(385))/sqrt(7))/(-1*sqrt(704)))**2 - 1*4*(sqrt(720) - (sqrt(720) - (sqrt(720) - -1*sqrt(720))))**2).
57600
Simplify (sqrt(2600)*-3 + (sqrt(26) + (sqrt(26) - -1*sqrt(26)))*-3)/((sqrt(84)/(sqrt(6)*1))/(sqrt(112) + sqrt(112)*2 - sqrt(112))).
-312*sqrt(13)
Simplify -3 + 5*(sqrt(1216) + sqrt(1216) + 0)**2 + (-2*(sqrt(1216) + 1 + sqrt(1216)))**2 + -5.
128*sqrt(19) + 43772
Simplify (-1*((3 + sqrt(1216))*5 - sqrt(1216)))**2 - (sqrt(171) + 1 + 2 + sqrt(19) + -3*sqrt(19)).
959*sqrt(19) + 19678
Simplify ((-3*(sqrt(252) - -1*sqrt(252)*-3))/(-4*1*sqrt(18)/sqrt(2))*2)**2.
252
Simplify (5 + -2 + -2 + sqrt(3) + 2 - (sqrt(1452) - sqrt(1452)*-3)/sqrt(4)*-3)**2*-1.
-53076 - 798*sqrt(3)
Simplify (3*(sqrt(130) + sqrt(130)*-5 + sqrt(130)) - -3*(sqrt(130) + sqrt(130)*4))/(-3*2*sqrt(810) - (sqrt(810) + -6*-2*sqrt(810) + sqrt(810))).
-sqrt(13)/30
Simplify -3*-2*(sqrt(117) + sqrt(117) + -3) - (sqrt(117) - (sqrt(117)*-1*-5 + sqrt(117) + sqrt(117) + sqrt(117) - sqrt(117)))/(6*sqrt(36)/sqrt(4)).
-18 + 37*sqrt(13)
Simplify (sqrt(168)/(sqrt(24)/sqrt(4)) - sqrt(168)/(sqrt(6)*-1))/(sqrt(576) - -3*1*sqrt(576))*-2.
-sqrt(7)/12
Simplify 3 + (2*-1*sqrt(110)*-6)/(sqrt(70)/(sqrt(7) - sqrt(63))*-5).
3 + 24*sqrt(11)/5
Simplify -5*(sqrt(2299) - ((-2 + sqrt(2299) - sqrt(2299)) + 2)**2) - 6*(sqrt(171) - -1*sqrt(171)*2).
-109*sqrt(19)
Simplify (1 + 1 + sqrt(180) + 5*sqrt(180)*-2 + sqrt(180) + -5 + 0 + sqrt(180) + 0 + 1 + sqrt(180) + -1 + 0)**2 + 3.
216*sqrt(5) + 6492
Simplify (-4*(sqrt(156) + (sqrt(156) - 1*sqrt(156)))*4)/(((sqrt(120)*-3)/sqrt(2))/sqrt(5)) + 1.
1 + 16*sqrt(13)/3
Simplify (sqrt(152) + 2*sqrt(152)*6 + (sqrt(152) + -1*1*sqrt(152) - sqrt(152)))/(-5*sqrt(96)/(sqrt(120)/(sqrt(10) - sqrt(10)*2))).
12*sqrt(19)/5
Simplify ((sqrt(312)/sqrt(6)*-4 + sqrt(52) + (sqrt(7488) - (sqrt(7488) - 2*sqrt(7488))))/((sqrt(2268)*2)/(-1*sqrt(63) - sqrt(7))))**2.
2548/9
Simplify ((2*(sqrt(152) + sqrt(152) + sqrt(152) + 2*sqrt(152) + sqrt(152)) - sqrt(152) - sqrt(152))/(4*(sqrt(8) + sqrt(72))) - (-1*(sqrt(76)*1)**2 + -3))*-2.
-158 - 5*sqrt(19)/4
Simplify ((-5*2*sqrt(294)*-4)/(sqrt(10)/(sqrt(5)*-1) + sqrt(32)/sqrt(4)) + -3)**2.
-1680*sqrt(3) + 235209
Simplify (sqrt(600)/sqrt(40) + 3*(sqrt(240)/sqrt(4) - sqrt(60)))/(sqrt(36)/(sqrt(36)/(sqrt(24)/sqrt(2) + sqrt(12))))*-2 + 1.
-sqrt(5)/2 + 1
Simplify -4*(((sqrt(2448) + 0)*-3 - (sqrt(2448) + sqrt(2448)*1 + -4))*-6 + 5)**2.
-8814244 + 54720*sqrt(17)
Simplify ((sqrt(250) - (sqrt(250) - -1*sqrt(250)))*-4 - (3*sqrt(250) + sqrt(250) - sqrt(250))*5)/((5*sqrt(180)/sqrt(4))/sqrt(9)).
-11*sqrt(2)
Simplify (sqrt(686) + (1*sqrt(686) - sqrt(686)) - (sqrt(14) - sqrt(504)*-2))/(-4*sqrt(56)/(sqrt(8)*5 - sqrt(8))).
6*sqrt(2)
Simplify (-1 + 3*2*(sqrt(133)/sqrt(175) - sqrt(19))*-6*-1)**2.
288*sqrt(19)/5 + 394009/25
Simplify 1*-2*((sqrt(66) - ((2*3*sqrt(66) - sqrt(66)) + sqrt(66) + sqrt(66) + sqrt(66)))/((sqrt(486) - -3*sqrt(486)) + sqrt(486) - sqrt(486)) + -5)**2.
-32939/648 - 35*sqrt(11)/9
Simplify ((sqrt(120)*1 + (sqrt(30)*1*-1 - sqrt(30)))*4)/((-1*sqrt(36)/sqrt(3))/(sqrt(2) + sqrt(8)*-1)).
0
Simplify -5*((4 + ((4 + 2*sqrt(720) - (-2*sqrt(720) + -4 - sqrt(720))) + -2)**2)*1 + 2).
-90210 - 3600*sqrt(5)
Simplify 0 + (2 + (sqrt(2057) - (sqrt(2057) + -3)) - (sqrt(1700) + 6*(sqrt(1700) + -2)))**2 + 5.
-2380*sqrt(17) + 83594
Simplify (((sqrt(189) + (sqrt(189) - (sqrt(189)*-2*-2 - sqrt(189))))/sqrt(3))/((sqrt(225) - (sqrt(225) + sqrt(225)*-1))*-4)*6)**2 + 2.
263/100
Simplify ((1*sqrt(144)*-3 - sqrt(144) - sqrt(144))/(sqrt(81)/(sqrt(9) - sqrt(144))))/(sqrt(8)*3*-1 + sqrt(8) + sqrt(8) - sqrt(96)/(sqrt(36)/sqrt(3))).
-15*sqrt(2)/2
Simplify (-3*-4*(-3 + -3*sqrt(171) - sqrt(171)/(2*sqrt(36)
|
{
"pile_set_name": "DM Mathematics"
}
|
.
s, 2, 5
Let s be 0 + (-2)/(-1) - -8. Let z be 8/(-6)*(s - 7). Sort z, -5, -1 in ascending order.
-5, z, -1
Let i be (1/(-2))/((-2)/(-16)). Let d be (7 - -1)/((-2)/i). Suppose d = 2*l + 4*a, 2*l - 5*a = -l - 9. Sort l, -5, -1 in ascending order.
-5, -1, l
Let o(v) = v**2 - 6*v + 5. Let p be o(6). Sort 3, 9, 2, p in increasing order.
2, 3, p, 9
Suppose 2*p + 2*p = 16. Sort -2, p, 1.
-2, 1, p
Let z(n) = -n - 14. Let g be z(-9). Sort g, 5, 19.
g, 5, 19
Let a = -7 + 8.6. Let v = a - 1. Let d = v + 4.4. Sort d, 1/5, -3 in ascending order.
-3, 1/5, d
Suppose 3*l + l - 20 = 0. Suppose 0 = -l*o + 4*o - 2. Suppose 11 = 5*n - 9. Sort 2, o, n in descending order.
n, 2, o
Let u = 0.18 + -0.2. Let o = 0.28 - u. Sort -1, 0.2, o in decreasing order.
o, 0.2, -1
Let s = -0.082 - -1.082. Suppose -3*i + 15 = -0*i. Put s, i, 0.5 in decreasing order.
i, s, 0.5
Let x = -2 + -3. Put x, 3, -0.5 in decreasing order.
3, -0.5, x
Let a = -0.3 + 0.1. Let p = 0.2 - 0. Let m = p - a. Put 0.2, 4, m in increasing order.
0.2, m, 4
Let d be 4/(-8)*2 + -4. Let y = 2/71 - 77/213. Sort d, -2/15, y in increasing order.
d, y, -2/15
Let s be ((-15)/60)/((-14)/(-8)). Let d be 10/(-35) + 198/7. Let q be d/207 + (-6)/27. Put q, 2, s in descending order.
2, q, s
Suppose -24*m + 23*m + 3 = 0. Sort m, 6, 8 in increasing order.
m, 6, 8
Let o be 1*3 + 1 + 0. Put o, 2, -5/4 in increasing order.
-5/4, 2, o
Suppose 0*s - s = 0. Suppose -5*f = 4*r - 3, 3*r - 3 = -4*f - s. Suppose -2 = 2*w + 3*m - m, f*m + 18 = 2*w. Put 2, -2, w in descending order.
w, 2, -2
Let o = 312 - 309.26. Let z = o + 0.26. Sort -2, z, 1/5.
-2, 1/5, z
Let z be 6/(-34)*2/3. Sort z, -1, 1 in descending order.
1, z, -1
Let x = -2 - -1. Sort -1/18, 4, x.
x, -1/18, 4
Let p = 2.9 + -17.9. Let w = p + 11. Let n = 37/85 + -4/17. Sort w, n, -0.5.
w, -0.5, n
Let z(v) = -3*v - 11. Suppose 4*r + 20 = -0. Let w be z(r). Let b = 71 - 211/3. Sort b, w, -4/7 in decreasing order.
w, b, -4/7
Suppose k - 6 = -k. Suppose 0 = -3*i - 0*i + 6. Sort k, i, 0 in ascending order.
0, i, k
Suppose -2*u - 3*u = -25. Sort -2, 2/7, u in decreasing order.
u, 2/7, -2
Let w be (1/2)/((-9)/(-6)). Let a = -1373/2738 + 2/1369. Sort w, a, 0.05.
a, 0.05, w
Let w be (-1 + (-26)/(-6))*3. Let p be (-26)/10 - 4/w. Let b = 7/22 - -2/11. Put b, p, 4 in increasing order.
p, b, 4
Let j be (6/10)/((-3)/2). Put 1, 0.5, j in increasing order.
j, 0.5, 1
Suppose 5*r - 4*y + 2 + 0 = 0, 2*r - 2 = 3*y. Sort -4, r, -8 in increasing order.
-8, -4, r
Suppose 2*j + j = -6. Sort j, -4/7, 7 in decreasing order.
7, -4/7, j
Let f be 2*(-1)/(2/2). Sort f, 2/5, 0.2, -1 in descending order.
2/5, 0.2, -1, f
Suppose 26*d - 20*d = 0. Suppose 0 = 4*w + 6 + 6. Put d, 3, w in decreasing order.
3, d, w
Let g = -34 - -168/5. Let b = 8 + -4. Sort g, b, 0 in increasing order.
g, 0, b
Let y(u) = -5*u + 78. Let p be y(16). Sort p, -1, 5, 12 in descending order.
12, 5, -1, p
Let o = 4 + -1. Let v(w) = w - 6. Let d be v(10). Let h be 60/35 - d/(-14). Sort h, o, -2.
-2, h, o
Let u = 3 - 5. Let g = 3 + -6. Sort g, -5, u.
-5, g, u
Let f(w) = -20*w. Let v be f(1). Let s be (v/25)/((-2)/(-10)). Let l = -2/293 + 620/4981. Sort l, -2, s in ascending order.
s, -2, l
Suppose 5*s + 0*h = -4*h - 6, -s + 4*h + 18 = 0. Put -2, 5, s in decreasing order.
5, s, -2
Let k = -1 + 2. Suppose 0 = -5*p + b - 1, p = -3*p + 3*b - 3. Sort 4, k, p.
p, k, 4
Let u = 5 + -9. Let j be ((-12)/15*1)/1. Sort 2, j, u.
u, j, 2
Let j = 0.3 + 0.7. Let k = -1.23 - -1.23. Let w = k + j. Sort -1, 2/11, w.
-1, 2/11, w
Let f = 0.6 + -0.1. Sort 2, f, -5.
-5, f, 2
Let r = -10 - -32/3. Put r, -0.1, 0.01 in decreasing order.
r, 0.01, -0.1
Let x = -198/5 + 40. Let p(w) = -w - 1. Suppose 5*y - 3*k + 24 + 1 = 0, 5*y + 25 = 5*k. Let u be p(y). Sort -0.1, x, u in descending order.
u, x, -0.1
Let i = -24 + 19. Put i, 2, 9 in increasing order.
i, 2, 9
Let r be 30/7 + (-2)/7. Let u be (2 + -2)/(-1) - 1. Let c = u + 3. Sort c, r, 1 in ascending order.
1, c, r
Let p be 0 + -2 + 2 + 4. Put -8, p, -4 in increasing order.
-8, -4, p
Suppose k - 3*k + 6 = 0. Suppose -n - 6 = 4*x - x, x - k = -2*n. Put 5, n, -4 in descending order.
5, n, -4
Suppose 0 = -5*z - 3*v - 10, 4*z - 2*v - 1 = -31. Let i = 7 + -5. Put i, z, 3 in ascending order.
z, i, 3
Suppose 5*s - 54 = 8*s. Let h = -15 - s. Put h, 3/5, -1 in decreasing order.
h, 3/5, -1
Let r = 3 - 7. Let o(i) = i**3 + 8*i**2 + 4*i - 8. Let b be o(-7). Suppose -4*f = -3 - b. Sort f, -3, r.
r, -3, f
Suppose 0*r = -r - 5. Let b be (12/8)/((-3)/(-8)). Sort 11, b, r in ascending order.
r, b, 11
Let l = -26 - -30. Let w = -3.3 - -3. Sort l, 0.1, w in decreasing order.
l, 0.1, w
Let p = -21/40 + 1/8. Let b be (2 + (-10)/4)*0. Let v be 1*-2*(1 - b). Sort p, 0.5, v.
v, p, 0.5
Suppose 1 + 4 = 5*i + 2*a, -27 = -4*i + 3*a. Let z = 4 - 9. Sort 1, i, z.
z, 1, i
Suppose -j + 2*m - 18 = -0*j, 0 = -3*j - 3*m - 9. Let c be -4*(-1)/(2 + -1). Let l = c + j. Sort -3, l, -0.2 in descending order.
-0.2, -3, l
Let w = 14 + -20. Sort w, 5, 0.
w, 0, 5
Suppose -5*p - c + 9 = 0, -5*p + 12 = -4*c - 2. Sort -4, p, -8 in decreasing order.
p, -4, -8
Let l = 2 + -1.5. Let i = 78 - 79. Let k = 0.9 + -1. Sort l, i, k.
i, k, l
Let w = 26 - 25. Put 0.4, -2/5, w, -3/2 in decreasing order.
w, 0.4, -2/5, -3/2
Suppose 71*y - 5 = 70*y. Sort 4, 0, -9, y.
-9, 0, 4, y
Let d be -2 + 4*1/4. Let v = d - -2. Put v, 3, -4 in increasing order.
-4, v, 3
Let b = -6 - -4. Let s = b - 3. Sort 2, 1, s in descending order.
2, 1, s
Let q(g) = -g**2 - g + 3. Let v be q(-3). Let w be v - -1*(3 - 0). Put -3/8, 2/3, w in ascending order.
-3/8, w, 2/3
Suppose 2*f + 3*f + 5 = 0. Let c be (4/10*-1)/f. Sort -4, c, -2/3 in decreasing order.
c, -2/3, -4
Let f = -9/17 + 95/51. Put 0, f, -2 in ascending order.
-2, 0, f
Let v(h) = -9*h**2 + 3*h**3 + 8 - 4 - h**3 - h**3. Let t be v(9). Put t, -1, -3 in descending order.
t, -1, -3
Suppose -c = -4*n - 2*c + 2, 2*n - 4*c = 10. Let r = -1 + 0. Let s = n - r. Sort 1, -4, s in decreasing order.
s, 1, -4
Let a(u) = u**3 + 7*u**2 - 3. Let v be a(-7). Suppose -4*z - 17 = 4*p - 5*z, -6 = 2*z. Sort 0, v, p.
p, v, 0
Suppose 0*a - 8 = a - 5*w, 2*a + 29 = -3*w. Let i = a - -8. Sort 4, 3, i.
i, 3, 4
Let s = 10 + -14. Let z = s - -2. Put z, 5, 3 in descending order.
5, 3, z
Let i(k) = k**3 + k**2 - 2*k - 2. Suppose 7*v - 12 = 4*v. Let x = v - 6. Let n be i(x). Sort 5, n, -4.
-4, n, 5
Suppose -m - 3*m = -4, -3*m = 2*y - 15. Let z be (2/2)/(-1) + y. Let i(c) = c**3 - 3*c**2 - 4*c - 3. Let j be i(4). Sort z, j, 0.2 in increasing order.
j, 0.2, z
Let h be (-24)/(-15) - 2/(-5). Let o be -2 + (-3)/(2 - -1). Let x = o + -2. Sort h, x, 5 in ascending order.
x, h, 5
Let y be 32/40*140/16. Let q(r) = -2*r**3 - 2*r**2 - r. Let m be q(-1). Let w = 3 - m. Put y, 1, w in descending order.
y, w, 1
Let q = 56 + -57. Sort 8, q, -3/7, -4 in descending order.
8, -3/7, q, -4
Let b = 0.45 + 0.05. Let y = -8 + 6. Put y, -1, b in decreasing order.
b, -1, y
Let f(s) = -s**3 - 2*s**2 + 2*s + 3. Let q be f(-3). Let y be 20/q + 13/(-39). Put 0, -7, y in increasing order.
-7, 0, y
Let x = -120 - -117. Put x, 4, -5, 6 in descending order.
6, 4, x, -5
Suppose -3*d - t + 3 = -7*d, 3*d = -2*t - 16. Put -7, d, -4 in ascending order.
-7, -4, d
Let x be ((-11)/110)/((-4)/(-10)). Sort -5, 4, x.
-5, x, 4
Suppose 0 = -0*y - 4*y. Let q be y + ((-4)/22 - 0). Let d = -438/5 + 87. Put d, 1, q in decreasing order.
1, q, d
Suppose 0 = -2*m - 6 - 0. Let i = m + 4. Sort 4, -1, i.
-1, i, 4
Let x = 9.9 - 10. Let c(h) = 1 + h + 7*h**2 + 0*h**2 - h**2 + h**3. Let q be c(-6). Put -1/4, x, q in increasing order.
q, -1/4, x
Let k be ((-2)/(-6))/((-10)/(-60)). Sort 3, k, -1 in descending order.
3, k, -1
Let s be (-44)/(-33) + (-22)/(-6). Sort -3, s, 0.5.
-3, 0.5, s
Let p be (-14)/(-7) + 18/(-12). Put -1/61, 4/3, p in decreasing order.
4/3, p, -1/61
Suppose -1 + 3 = g. Let b = -6 - -2. Sort -3, g, b in decreasing order.
g, -3, b
Let m = 18 - 30. Let s = m - -8. Put -1, -2, s in increasing order.
s, -2, -1
Let c = -43 - -48. Sort 0.8, -1, c in ascending order.
-1, 0.8, c
Let h be (-6 + (1 - -1))/(0 - -2). Put 5, h, 0, 4 in ascending order.
h, 0, 4, 5
Let o = -10 - -7. Put 3, o, 1 in increasing order.
o, 1, 3
Suppose 5*h - 35 = 5*q, 5*q = -0*q + h - 23. Let p be ((-3)/3)/(3/(-18)). Let g = p + -11. Sort
|
{
"pile_set_name": "DM Mathematics"
}
|
.3.
2.5221
0.1*22.97
2.297
Product of 2 and -346.527.
-693.054
Calculate -10766227*3.
-32298681
Product of -4314 and -110.4.
476265.6
Calculate -3480*-0.25.
870
Product of 34801 and 0.5.
17400.5
Calculate 8960*-10.
-89600
0.3*-423.99
-127.197
3.1 * -9320
-28892
-2477*0.05
-123.85
What is the product of -8.161 and 0.08?
-0.65288
Product of -8.85 and -0.11.
0.9735
What is -39.383 times 1?
-39.383
93183 * 1.7
158411.1
What is 3 times -118.14?
-354.42
17919 * 39
698841
-0.6802 times -0.078
0.0530556
What is -9.7225 times -0.1?
0.97225
Product of 5 and 137.934.
689.67
-2 times 1057.12
-2114.24
What is the product of 5287.1 and 5?
26435.5
-0.01504 times 0.12
-0.0018048
-11.48 times 6.72
-77.1456
Product of -0.01 and -0.221227.
0.00221227
Multiply 21.51 and 44.
946.44
0.5 times -56785.9
-28392.95
What is the product of -1 and -0.02219?
0.02219
0.1917 times 0.2
0.03834
-135 * -7.24
977.4
Work out -41307 * -0.3.
12392.1
Multiply 0.04 and 157587.
6303.48
-108 times 0.02
-2.16
-586688*-3
1760064
-2*-15194
30388
Product of -363 and 0.16.
-58.08
-11 times -9.577
105.347
Calculate -0.14*-13759.
1926.26
What is 0.1 times 65078?
6507.8
405 times -0.5
-202.5
Work out -478 * -46.5.
22227
What is -2 times 101554?
-203108
Product of -679 and -0.034.
23.086
Work out -41 * 3.504.
-143.664
What is the product of 1.274698 and -0.2?
-0.2549396
Product of -2852.4 and 1.
-2852.4
Work out -1.4797 * -6.
8.8782
404*-1434
-579336
What is the product of -194 and 139?
-26966
What is the product of -5.7 and -3845?
21916.5
Calculate 10.4755*26.
272.363
Calculate -653*-0.27.
176.31
What is -4751 times 0.005?
-23.755
Work out -0.19 * 517.3.
-98.287
Multiply 5562 and -0.16.
-889.92
-5.52 times -0.39
2.1528
-689 * 373
-256997
Multiply -0.06 and 0.10068.
-0.0060408
What is 0.06545 times -9?
-0.58905
-0.79 * -0.357
0.28203
What is the product of -0.5 and 193730?
-96865
5.611 times 2.3
12.9053
Calculate -731218*0.1.
-73121.8
Product of 73.243 and -3.
-219.729
Multiply -0.087442 and 0.4.
-0.0349768
What is the product of -173 and 4?
-692
Work out 4 * -0.04009.
-0.16036
Work out 1.1 * 0.070576.
0.0776336
0.08*29.72
2.3776
Product of 289 and 397.
114733
Product of -1.629 and -0.799.
1.301571
-3795 times 202
-766590
Work out -113 * 0.0257.
-2.9041
What is the product of -153 and -11125?
1702125
3.4*-0.0252
-0.08568
What is the product of -374 and 92?
-34408
Work out -19 * -4.099.
77.881
What is -779244 times 0.4?
-311697.6
Multiply 0.03 and 17.48.
0.5244
Work out 3 * 14.383.
43.149
Work out -1041.49 * 2.
-2082.98
Work out -0.12 * -41.08.
4.9296
3*8475.8
25427.4
What is the product of 32746 and 0.4?
13098.4
0.159 times -7845
-1247.355
-0.169*7532
-1272.908
Product of -29 and -2.1089.
61.1581
Product of 49 and -91.27.
-4472.23
Work out 5169.6 * 1.
5169.6
Work out -0.905 * 0.
0
What is the product of -0.5 and 80.0139?
-40.00695
-1.03 times 1441.8
-1485.054
What is the product of -875.7 and -0.5?
437.85
1223.7*-27
-33039.9
-3572320*-0.5
1786160
Product of 61650 and 0.1.
6165
Calculate 11*-16.2348.
-178.5828
Product of -30 and -9063.
271890
-2 times 1.32846
-2.65692
What is the product of 9.7 and 51.05?
495.185
0.11*-5944
-653.84
What is the product of 53.445 and -2?
-106.89
Calculate 0.1*21327.
2132.7
Multiply -5 and 184.86.
-924.3
-0.42285 * -0.12
0.050742
-0.12 times -12.3
1.476
Product of 6.995217 and 3.
20.985651
What is -1 times -172.22?
172.22
Calculate 2.18*-98.
-213.64
6 * 3.96
23.76
0.0114*1050
11.97
-88.5 * 0.073
-6.4605
583851 times -3
-1751553
Work out -1.4 * 8003.
-11204.2
3 times -50.45
-151.35
Multiply -2 and -143.47.
286.94
What is -0.02 times -633.29?
12.6658
-1*88.35
-88.35
Product of 361080 and 0.1.
36108
Product of -0.007 and 5086.
-35.602
2373*0.06
142.38
Calculate 3224*25.
80600
-2 times 90523
-181046
3.5833 * -1
-3.5833
What is the product of -834447 and -1?
834447
What is -618.366 times -2?
1236.732
Calculate 0.15126*9.
1.36134
Multiply -1266.162 and 2.
-2532.324
3 * 1009561
3028683
5845.77 * -1
-5845.77
0.194*1.9
0.3686
Calculate -1459*-0.081.
118.179
786599 times -3
-2359797
What is the product of -0.59008 and 2?
-1.18016
Calculate -4.52*0.108.
-0.48816
-1043 times -0.27
281.61
Multiply -0.0631957 and 0.1.
-0.00631957
Calculate 0.107823*1.
0.107823
Work out -2 * 0.035709.
-0.071418
2158.44 * -1
-2158.44
-0.4 * 0.032529
-0.0130116
Work out -0.30144 * 1.
-0.30144
Multiply 10.604633 and 0.
0
Calculate 0.0935*-0.18.
-0.01683
0 times -0.038486
0
Work out -0.0998 * 2061.
-205.6878
Multiply -4 and -12822.
51288
Product of 1.6 and -170.7.
-273.12
What is 3 times -58590?
-175770
Calculate -23*3297.
-75831
Multiply 0.472618 and 0.01.
0.00472618
-4474 times 48
-214752
-0.17*-927
157.59
Product of 0.5 and 4.765.
2.3825
Calculate -0.03*9.9715.
-0.299145
0.5 * 15373
7686.5
430*81
34830
Calculate -1*-34.4117.
34.4117
-0.1 times -1013.64
101.364
Calculate -227*-0.022.
4.994
Work out 18.3 * -0.06.
-1.098
What is the product of -5154 and -0.069?
355.626
Product of -64824 and -4.
259296
Product of -395 and 165.
-65175
-0.1*43851
-4385.1
Calculate -32*456.
-14592
Work out -0.5 * 573037.
-286518.5
9.75 * 0.76
7.41
What is -769304 times -5?
3846520
What is the product of 15 and -3625?
-54375
What is the product of -370.2949 and -1?
370.2949
What is the product of -9 and 38546?
-346914
Multiply 0.022799 and 0.1.
0.0022799
Calculate -0.36306*-10.
3.6306
Work out -121.62 * 1.1.
-133.782
What is the product of 7 and -204.35?
-1430.45
Multiply 41 and 0.58.
23.78
Multiply 22 and 3871.
85162
What is 255 times 668?
170340
Multiply 0.14096 and 0.
0
-3702 * -1
3702
Product of 14.71 and 191.
2809.61
10.6 * -1.6646
-17.64476
36 * -0.0189
-0.6804
1.084 * -0.024
-0.026016
What is the product of -7443 and -8?
59544
Multiply 2544 and 0.02.
50.88
What is the product of 47 and -8?
-376
Product of -5 and -0.05536.
0.2768
Product of 40637 and -1.
-40637
Work out -2 * 19476.
-38952
Work out -0.072 * -88.2.
6.3504
Multiply 3.7 and 2159.
7988.3
What is 110045 times -0.2?
-22009
-163082*0.4
-65232.8
87346 * -2
-174692
What is the product of 2185641 and -0.5?
-1092820.5
What is -154 times 0.217?
-33.418
Product of 11380 and -0.2.
-2276
Product of 9083 and 69.
626727
320.1*967
309536.7
Work out 88870.1 * -0.5.
-44435.05
-8 times -1.151
9.208
Calculate 6*-280532.
-1683192
-5*4790.3
-23951.5
Multiply 91268 and -4.
-365072
0.09*-0.109321
-0.00983889
Work out -0.4 * 28.42.
-11.368
16.844 times -177
-2981.388
Work out -28556 * 0.4.
-11422.4
Product of -36395 and 6.
-218370
Work out 153 * -132.
-20196
Work out -0.081 * -363.
29.403
-0.041 * 0.1963
-0.0080483
-5057 times -1
5057
-0.0532*0.042
-0.0022344
Work out 88 * -0.181.
-15.928
Multiply -0.1763 and 22.
-3.8786
What is the product of 4 and -83.98?
-335.92
What is -207.417 times -2?
414.834
Product of -77.0396 and 4.
-308.1584
3 * -36113
-108339
0.055 * 18356
1009.58
Multiply 0.03 and -47.94.
-1.4382
What is -0.1 times 0.6668?
-0.06668
61.5*17
1045.5
Product of 0.3 and -26080.
-7824
Work out 0.2 * 0.7747.
0.15494
-0.1 * -31137
3113.7
-0.0267 times -44.64
1.191888
Multiply -0.4005 and 0.
0
Calculate 5*-0.28448.
-1.4224
What is the product of -34163 and -0.3?
10248.9
-0.42*1183
-496.86
What is -13.4 times 0.68?
-9.112
Calculate 3.8229*0.2.
0.76458
Calculate -0.05*-46924.
2346.2
What is 0.5 times -246480?
-123240
Calculate -10976*0.2.
-2195.2
Product of -12996 and -31.
402876
-0.006247 times 5
-0.031235
Product of 15.3 and -31911.
-488238.3
What is 0.3 times 62081?
18624.3
8*11080
88640
483 times -1
-483
Work out -67.073 * -0.2.
13.4146
-13 * -6445
83785
Calculate 226.6378*-1.
-226.6378
Product of 165.9071 and 0.5.
82.95355
Work out 44 * -58.044.
-2553.936
Product of 0.08 and -43173.
-3453.84
What is 0.00193 times 0.05?
0.0000965
Work out -8.59261 * -0.3.
2.577783
-440477*-5
2202385
-873.262*-0.4
349.3048
-61.8*117
-7230.6
What is -3 times 10.8647?
-32.5941
Calculate -473592*0.3.
-142077.6
-0.8 * 5.952
-4.7616
What is the product of -15.1839 and -5?
75.9195
What is the product of 0.1531 and -0.1024?
-0.01567744
Work out 5 * -66078.
-330390
Product of 167083 and -0.3.
-50124.9
Product of 0.0548 and -548.
-30.0304
Work out 0.4 * 9070.
3628
What is the product of 4 and 185463?
741852
-3 times -99587
298761
Work out -5047 * 4.47.
-22560.09
Product of -10 and 22453.
-224
|
{
"pile_set_name": "DM Mathematics"
}
|
204. Does 11 divide r?
False
Let y = 92 + -96. Does 23 divide 1 - (-137 - -1*(6 + y))?
False
Let j be ((-3)/(-6))/(3/6). Let o be j/5 - (-483)/(-15). Is (o/10)/((-26)/325) a multiple of 20?
True
Suppose 0 = 2*j + 2*w, 5*j + w + 3 = -1. Let n be 3/((-3)/2) + (-1128)/12. Is (1/(4/n))/j a multiple of 6?
True
Suppose 3*t + 4*c - 21 = 0, 3*t + 0*c + 3*c = 21. Suppose 0 = t*h - 6*h + 11. Let j = 20 + h. Is 3 a factor of j?
True
Let x(c) = c**3 + 37*c**2 + 56*c + 44. Is 89 a factor of x(-35)?
True
Let d = 145 - 145. Suppose -5*w + 2*c + 619 = d, 4*w + 4*c - 497 = 5*c. Is w a multiple of 25?
True
Let x(d) = d**3 - 12*d**2 - 6*d + 19. Let q = 130 - 117. Is 22 a factor of x(q)?
True
Let k(r) = r**2 - r + 1. Let x be k(3). Let s(i) = 4 - 2*i**3 + 2*i - 5*i**2 - 3 + 3 + x*i**2. Is 16 a factor of s(-3)?
False
Let o = -601 + 863. Is o a multiple of 10?
False
Suppose -10*x = 2*d - 8*x - 1326, 0 = 2*d - 5*x - 1305. Does 15 divide d?
True
Let c(r) = -r + 18. Let q be c(23). Let l(u) be the second derivative of u**3/6 + 4*u**2 - 3*u. Does 3 divide l(q)?
True
Suppose 14*q - 29 - 41 = 0. Suppose -109 + 849 = q*b. Does 30 divide b?
False
Let w be (-8 - -4)/((-4)/378). Suppose 4*c - c = -4*o + w, -o + 106 = -5*c. Is 16 a factor of o?
True
Let i = 28 + -25. Is 3 a factor of i - 74/(-10) - 4/10?
False
Let w = 268 - 164. Suppose w = 2*k - o, -k + 0*k + 58 = -2*o. Is 50 a factor of k?
True
Let k(q) = 2*q**3 - 17*q**2 - 25*q + 34. Is 4 a factor of k(10)?
True
Suppose -10*g + 9*g = -77. Let w = g + -45. Is 7 a factor of w?
False
Suppose -29 = 4*s - q + 4*q, q = -3. Does 14 divide (-1410)/(-6) - s/((-15)/(-9))?
True
Let n(f) = -f**3 - 3*f**2 + f + 3. Let p be n(-3). Let h be 3 - p - (-5 + 37). Let z = -9 - h. Is 10 a factor of z?
True
Let c = -10 + 31. Suppose 0 = -25*k + c*k. Does 21 divide ((-96)/(-20) - k)*10?
False
Let n(r) = -r**2 + 4*r - 3. Let p be n(3). Suppose p = -16*h + 14*h + 60. Is 5 a factor of h?
True
Suppose -2*n = -6*n + 12. Suppose -4*r + s - 52 = 0, n*s - 97 + 25 = 5*r. Is 6 a factor of (-78)/r + 3/(-6)?
True
Let a(t) = t**3 - t - 4. Suppose 2*x - 9 = -x. Let d be a(x). Suppose -74 = -3*v - d. Does 6 divide v?
True
Suppose -5*m + 60 = -10. Suppose m = i - 55. Is 45 a factor of i?
False
Suppose 7*y + 4 = 9*y. Is (-33)/y*(-70)/15 a multiple of 11?
True
Suppose 2*b - 2*g - 1252 = -210, 5*b + 2*g - 2591 = 0. Is 23 a factor of b?
False
Is (14/21 - 74/12)*-158 a multiple of 79?
True
Let t = 127 - -2616. Does 70 divide t?
False
Suppose -o = -3*o + 8. Suppose -2*g + 90 = -o*a, 0*a - 59 = -g - 5*a. Is 13 a factor of g?
False
Let z = 0 + -6. Let c be (0 - 1)/(z/(-12)). Is 3 a factor of c*(-44)/(-24)*-3?
False
Let q(h) = -h**3 + 17*h**2 + 4*h - 17. Does 17 divide q(15)?
True
Is 5*4/80*164 + 3 a multiple of 4?
True
Let q(n) = -n**3 - 3*n - 2. Let o be q(-2). Suppose 3*m = o, -140 - 32 = -4*y + m. Does 22 divide y?
True
Suppose 0 = 3*a + 3*t - 2*t - 1862, 3*a - t = 1864. Is a a multiple of 23?
True
Suppose -11*a + 2641 = -5059. Does 28 divide a?
True
Suppose 6*y + 3*y - 9990 = 0. Suppose 9*q - 4*q + y = 0. Let k = -116 - q. Is k a multiple of 25?
False
Let b(y) = -5*y**3 + 6*y**2 - y - 20. Let l(g) = -g**3 + g**2. Let t(z) = -b(z) + 6*l(z). Does 12 divide t(0)?
False
Let g(x) = -2 + 34 + 17 + 16*x. Is g(6) a multiple of 6?
False
Suppose 9952 = 7317*l - 7309*l. Does 63 divide l?
False
Let x = 107 + -65. Does 6 divide x?
True
Suppose 0 = -3*p - 4*o + 30, -o + 19 = 3*p - 2. Does 16 divide 54/(p*(-4)/(-32))?
False
Let u be (21/(-14))/(2/(-4)). Suppose 3*a + 0 = u. Let b = 5 + a. Does 3 divide b?
True
Let y be 3 + 4 - (2 + 0). Let v(l) = l**3 - 22*l**2 + 21*l. Let s be v(21). Suppose -105 = -y*o - s*o. Is 21 a factor of o?
True
Let i = 164 + -160. Suppose -2*l = 5*b - 1639, l + 1307 = 4*b + i*l. Does 47 divide b?
True
Suppose 17 = 4*p - 27. Let j be -2*(3 + p/(-2)). Suppose -j*i = -0*x - 4*x - 303, 3*i - 4*x = 185. Is 17 a factor of i?
False
Suppose 3*c = 2*d - 14, 30 = 3*d - d + c. Is 3222/13 + 2/d a multiple of 29?
False
Suppose -2*h = -3 - 1. Let y = -269 + 461. Is 24 a factor of (7/14)/(h/y)?
True
Suppose 0*j - 5066 = -4*j - 5*d, -5*j + 3*d + 6351 = 0. Is j a multiple of 11?
False
Suppose -3*z + h + 20 = 6*h, 0 = 5*z - 4*h + 16. Suppose -2*u = -7*u - 10, z = 4*m + 5*u - 18. Is 3 a factor of m?
False
Let f(m) = -13*m - 4. Let b(u) = -u**2 - 12*u - 4. Let p(s) = -3*b(s) + 2*f(s). Let r be p(-6). Let y = r - -19. Does 17 divide y?
False
Let k(o) = -o**3 - 7*o**2 + 5*o - 22. Let p be k(-8). Let v(u) = -p - 16*u - 3*u**2 + 17*u + 2*u**2 + u**3. Is v(4) a multiple of 10?
True
Let g(k) = 2*k**2 - 7*k - 55. Does 3 divide g(-6)?
False
Suppose -5*y - 5396 = 4*x - 8*x, x = -3*y + 1332. Is x a multiple of 7?
True
Let a(m) = 2*m**3 - 14*m**2 - 28*m + 21. Is 110 a factor of a(12)?
False
Suppose 3*h + 0*h - 4*v = 19, -3*h + 3*v = -15. Let z = -144 + 147. Is 7 a factor of z/h + 1 + 10?
True
Suppose -2*u + 9*s + 344 = 8*s, 3*s = 0. Is 12 a factor of u?
False
Let z = 10 - 8. Suppose 5*r - z*d - 438 = 0, r + 5*d = 73 - 7. Does 19 divide r?
False
Let w(p) = -32*p + 144. Does 29 divide w(-10)?
True
Let o be (11/(-2))/((-5)/10). Suppose -7*z - 224 = -o*z. Does 14 divide z?
True
Let m = 35 - 34. Let a be m/(-4) - 18/(-8). Suppose -u = 4*u + 5, 61 = c + a*u. Does 21 divide c?
True
Is (46360/28 - (-12)/42) + -7 a multiple of 22?
False
Let s = 12 - 12. Suppose -26 = -v + i, -4*v + 3*i = -s*i - 109. Suppose -v = -3*c + 38. Is 7 a factor of c?
False
Let r(u) = u + 22. Let c be r(-17). Let h(d) = 2*d**3 - 2*d**2 - 8*d - 7. Is h(c) a multiple of 17?
True
Let c = -23 - -34. Let x(z) = 4*z + 25. Is 23 a factor of x(c)?
True
Let v(k) = k**2 - 10*k - 24. Is 5 a factor of v(-9)?
False
Let x be (-1584)/40 + 2/(-5). Let p be (-24)/x*5/1. Does 19 divide (-24)/(-36) - (-55)/p?
True
Let l(x) = 0 - 1 - x + 0 + x**2 - 3. Let w be l(0). Does 5 divide (-1314)/(-78) - w/26?
False
Let v(p) = p**2 - 13*p - 9. Let q be (49/(-28))/((-2)/(-8)). Let y(w) = -w**2 + 12*w + 9. Let t(u) = q*y(u) - 6*v(u). Is t(8) a multiple of 4?
False
Let p(l) = l**2 + 6*l + 12. Let y be p(-6). Suppose -o + y = -2*o. Let b = o - -39. Is 16 a factor of b?
False
Let g(h) = -h**3 - 7*h**2 + 13*h - 2. Let v = 28 + -38. Does 24 divide g(v)?
True
Let c be (77/(-77))/(1*(-2)/50). Suppose 1404 = 31*f - c*f. Does 20 divide f?
False
Let i(o) = o**2 + 18*o + 6. Let v be i(-18). Suppose -11*j = -v*j. Suppose j = -10*f + 4*f + 180. Is f a multiple of 5?
True
Suppose -3*i - 11 + 896 = 0. Let p = i + -207. Let l = -58 + p. Does 12 divide l?
False
Let t = 30 - 27. Suppose -t*s + g - 32 = -s, 3*s = g - 49. Let i = s - -46. Does 10 divide i?
False
Let d(i) = -2*i**2 + 6*i + 7. Let m be d(7). Let l = -29 - m. Is 5 a factor of l?
True
Let n(s) = 2*s**2 + 31*s - 219. Is 7 a factor of n(7)?
False
Suppose 7*b = 9*b + 24. Let p(u) = -u**2 - 20*u - 6. Is 20 a factor of p(b)?
False
Let t(b) be the second derivative of b**6/180 - b**5/20 + b**4/24 + 4*b**3/3 + 7*b. Let j(h) be the second derivative of t(h). Does 27 divide j(-5)?
True
Let l(u) = 3*u**3 - 4*u + 0 + 4 - 4*u**2 - 2*u**3 + u**2. Suppose 0 = 4*h - 5*j - 5, 5*h - j - 14 = 8. Is 17 a factor of l(h)?
True
Let w(n) = -5*n + 3. Let y = 18 + -15. Let p be w(y). Is (8/p)/((-1)/54) a multiple of 18?
True
Suppose 8*c - 5740 = -6*c. Is 41 a factor of c?
True
Let z be ((-9)/(-48)*-4)/((-1)/20). Is 2 a factor of ((-20)/(-8) - 1)/(z/80)?
True
Let d be (-2 - (4 + -2)) + 7. Suppose -d*u + 96 = 5*h, h = -2*u - 15 + 37. Does 9 divide h?
True
Suppose -14*t = 2*r - 11*t - 2081, 5*r - 2*t - 5174 = 0. Is 28 a factor of r?
True
Suppose 2*z + 3*s - 267 = 0, -2*z + 5*z + 2*s - 388 = 0. Suppose -12*c + 17*c - 10 = 5*y, 2*y + 10 = -4*c. Does 7 divide (c/(-3))/(3/z)?
True
Suppose -5*c + 12 = -c. Suppose z + 0*z - c = 0. Suppose z*x = -12, x + 2*x = -2*y + 6. Does 7 divide y?
False
Let i be -1 + 4/5 - (-4344)/(-30). Let h = i - -362. Does 38 divide h?
False
Suppose -13*u - 732 = -17*u. Does 5 divide u?
False
Let q(m) be the first derivative of m**4/12 - 7*m**3/6 + 3*m**2/2 + 8*m - 12. Let f(a) be the first derivative of q(a). Does 2 divide f(7)?
False
Is 294/15*(-720)/(-8) a multiple of 84?
True
Let g(o) = -5*o**2 - 3*o + 2. Suppose -k + 2*m - 5 = 0, 0*k - 2*k = -3*m + 9. Let l be g(k). Is (l/(-6) - -3)*3 a multiple of 26?
|
{
"pile_set_name": "DM Mathematics"
}
|
= -2.0464 - -0.0464. Let d = -5/18 + 1/2. Which is the nearest to -2? (a) s (b) 0.11 (c) d
a
Let f be 5/((4/32)/1). Suppose 5*g + u + 4*u - f = 0, -g - 5*u + 20 = 0. What is the closest to -1/2 in 28, -0.5, g, 1/4?
-0.5
Let g = 9.046 + -11.046. Which is the closest to 2? (a) 0 (b) g (c) 1/10 (d) 2
d
Let b = 2551/55 + -231/5. Let f = -196 + 199. Let j = 22 + -23. What is the nearest to j in f, -0.3, b?
-0.3
Let n be (-6 + 0 - ((-25)/(-15) + -7))*-3. Let t = -2 + 2.1. What is the closest to 0 in t, n, 24/5?
t
Let i = -29 - -89/3. Let m = 0.71 - 0.32. Let p = 4.61 + m. Which is the nearest to 4? (a) p (b) -1 (c) i
a
Let t = -11998 + 11965. What is the closest to -0.08 in 3, t, 2?
2
Let t = 9121 + -9133. Let i be (-8)/9 + 2/3. Which is the nearest to 0.2? (a) 2 (b) i (c) t
b
Let v = 0.33539 - 0.13539. Let r = 11 + -5. What is the closest to -1 in r, v, -0.2?
-0.2
Let m = 7232 + -7229. Let t = 0.8 + 0.2. What is the nearest to m in 0.2, 1/3, t?
t
Let i = 387.7 + -369. Let h = i + -18.8. What is the closest to -4 in h, 3/7, 2?
h
Let k = 1300 + -1300.04. What is the nearest to -2 in k, 10, 0.4, -2?
-2
Suppose 8 = -5*i + 3*x + 4, 4*x + 43 = -3*i. Let g = 0.31 + -0.44. Which is the nearest to g? (a) i (b) 5 (c) -1
c
Let f = 181/30 + -31/5. Suppose -24*j = -13*j + 16*j. Which is the nearest to -2/5? (a) -3 (b) j (c) f
c
Let v(t) = -t**2 + 3*t - 4. Let j be v(2). Let q be (-148)/(-36) + j + -2. Let r = -10/19 + -37/38. Which is the closest to 0.1? (a) -4 (b) r (c) q
c
Let p be 8 + (-231)/(-35) + -15. Let i = 14.8 + 9.2. Let l be (2/(-8))/(15/12). What is the closest to 1 in i, l, p?
l
Let g = -137/5 - -27. Let a = 99.8 + -99.7. What is the nearest to g in -5, 6, a?
a
Let q = 18 + -21. Let l be 2/(-10)*((-19)/(-11) + (-378)/(-1386)). Which is the closest to 0.1? (a) q (b) 1/4 (c) l (d) 1/11
d
Let y be 8/(-4144)*(60 + 2). Let l = -15/37 - y. Let s = 3.07 - 0.07. Which is the closest to s? (a) l (b) 0 (c) -2/13
b
Suppose 5*g = 2*l - 0*l + 89, 0 = 3*l + 5*g + 71. Let b(j) = -j**2 - 42*j - 397. Let p be b(-14). What is the closest to l in 0.5, -4, p?
p
Let n = -1427 - -1430. What is the closest to 0 in n, 1/5, -1/2, -5?
1/5
Let v = 1/68 + -35/68. Let r(t) = t - 9. Let n be r(7). Let d be 0/(1/1 + n). Which is the nearest to v? (a) -4 (b) d (c) 0.3
b
Let r = -0.070752 + 0.170752. Let i = 0.3 - 0.2. Which is the closest to i? (a) r (b) 2 (c) 33
a
Let x = 1 + 4. Let i be (-16)/((-1632)/(-85))*(-3)/(-10). What is the nearest to 2/7 in 2/5, x, i, 21?
2/5
Let w = -2229 + 2229. Which is the nearest to -1? (a) w (b) 10 (c) -3 (d) 3/8
a
Let s = 0.63 + -0.03. Let r = -3 - -4. Let f = 32.13 - 29.13. What is the nearest to -2/13 in s, f, r?
s
Let g = -7.57 - -494.57. Let u = 486.8 - g. Let r = -45/2 - -91/4. Which is the nearest to r? (a) -2/3 (b) u (c) 4
b
Let h be ((-3)/(-15))/(1 - 0). Suppose 31155 - 31155 = -19*n. What is the closest to n in -23/3, -3, h?
h
Let w = -4214 + 4214.5. What is the nearest to 2/9 in w, 4, -1/2, -0.06?
w
Let o be (165/(-99))/(0 - (-15)/(-36)). Suppose -5*q = 3*x + 17, 4*x = -o*q + 9 - 21. What is the nearest to -0.1 in q, 0.1, 5, -31?
0.1
Let n = 6 + -6.3. Let o be ((-22)/12 + 2)*123/(-82). Which is the nearest to o? (a) -2 (b) 1 (c) n
c
Let k = -12.11 + 12.11. Which is the nearest to k? (a) -2/7 (b) -0.1 (c) 0.5 (d) 10
b
Suppose -2*y + 4 = -4. Suppose -17 = 2*m - 5*s, 2*s - 16 = y*m - 2*s. Let g = 7042 + -7038. Which is the closest to m? (a) 1 (b) g (c) -1/8
c
Suppose -1283*h + 1260*h - 69 = 0. What is the nearest to h in -42, -0.1, -4, 4?
-4
Let z = 1.8 + -2. Let r = -0.1412 - 0.0096. Let s = -0.1492 + r. Which is the closest to 3? (a) -1/3 (b) z (c) s
b
Let n = 3.7 - 4. Let t(l) = 2*l**3 + 103*l**2 + 66*l + 765. Let y be t(-51). Let r = -3.9 - 1.1. Which is the closest to y? (a) n (b) -0.2 (c) r
b
Let g = -128/177 + 266/531. What is the closest to -162 in 5, -1/2, g?
-1/2
Let v = -0.5 + 0.5. Let f = -0.5793 + 0.6093. Which is the nearest to 1/4? (a) -2/5 (b) f (c) v
b
Let v = -107.9 - -108. Let k = -51 + 47.2. What is the closest to -1 in v, -1, k?
-1
Let m(h) = -h - 12. Let y be m(-10). Let w = -8 + -95. Let g = 102 + w. What is the nearest to 1/3 in -0.4, y, g?
-0.4
Let v = 7850.02 + -7850. Which is the nearest to 32/11? (a) -2 (b) v (c) 1
c
Let j = -4/23 - 11/69. Let t = -29783 + 29781. What is the nearest to j in 2/15, 5, t?
2/15
Let k = 7 - 1.4. Let q = k - 6. Let i = 5.054 + -0.054. Which is the closest to 3? (a) q (b) i (c) -2
b
Let g = -13.3 - -66.3. Let f = -58 + g. Which is the nearest to 2/5? (a) 3 (b) f (c) 16/3
a
Let l = 17277.7 + -17278. Which is the nearest to 200? (a) l (b) 0 (c) 2/17
c
Let t = -409 + 413. What is the closest to -2/7 in t, 2/11, -0.2, -8?
-0.2
Let w = -714 - -714.2. Let y = 342 + -351. Which is the nearest to w? (a) -0.1 (b) 3 (c) y (d) -0.5
a
Let f = -1 + 0.9. Let p = -3789 + 3789.5. Let s = 0.03 - 0.03. Which is the closest to s? (a) -18 (b) p (c) f
c
Suppose z + 15 = 6*f - 4, 0 = 3*f + 6. What is the closest to z in 1, -4, 2/13, 1/2?
-4
Let l be (-2)/30*7 + 500/625. Which is the nearest to 1.4? (a) 2 (b) 5/13 (c) l
a
Let k = -7060 - -7057. What is the nearest to 26 in 5, k, -10?
5
Suppose -r + l = 7, 4*r = -15*l + 10*l - 10. Let a = 0.6 + -0.2. What is the closest to 3 in r, 0.3, a?
a
Let g = -1.2 - 1.8. Let i = -1 + g. Let h = 1.439 + 1.561. Which is the nearest to -0.1? (a) i (b) h (c) -0.1
c
Let h = 1.44 + -1.74. Suppose 0*m + 2*f = -4*m - 2, -2*f + 8 = -m. Which is the nearest to m? (a) -2 (b) -2/3 (c) -4 (d) h
a
Let p = -22081 + 22079. Which is the nearest to -2? (a) -5 (b) -15 (c) p (d) -45
c
Suppose -2*s - 16*j + 3 = -13*j, -4*s - 2*j + 18 = 0. Suppose 0 = b + 5*r - s, 2*b = 6*b - r + 18. What is the closest to 0.1 in b, -3, -11?
-3
Let u be 0 - (-1 - -1)*-1. Suppose u = 3*s + s - 4. Let p = -0.0045 + -0.2955. Which is the closest to -1/2? (a) -5 (b) s (c) p
c
Let x(s) be the first derivative of s**4/4 - 14*s**3/3 - 55*s**2/2 + 51*s + 226. Let w be x(17). Which is the nearest to 9? (a) 2/3 (b) 2/7 (c) w
a
Let f = 64 + -66. Let t = -130 + 131. Which is the nearest to t? (a) 0.2 (b) f (c) -2/9
a
Let w = 651.4 + -648. Let x = -53.3 + 50. Let h = w + x. What is the nearest to 3 in 0, -3, h?
h
Let n be ((-12)/75)/(-6 + 27/5). What is the nearest to 4 in 10, n, 1/2?
1/2
Let f = -144 + 133.7. Let v = 10 + f. What is the closest to 1/4 in -2/9, 3/4, v?
-2/9
Let j = -0.01 + 0.07. Let n = 0.04 + j. Let d = -4672 + 4674. Which is the closest to d? (a) 3 (b) 2 (c) n
b
Let d(p) = 5*p**2 + 40*p - 41. Let y be d(1). What is the nearest to 1 in -1/2, y, 33/13?
-1/2
Let t = -10898 - -10723. Which is the nearest to 0? (a) 0.1 (b) t (c) 1/3 (d) 1
a
Let o = 20.88 + -21.03. Which is the nearest to -1? (a) 2 (b) o (c) -0.1
b
Let z = -0.01 - -0.31. Let j = -6.6 + 9.47. Let g = 0.13 + j. What is the closest to 1/3 in g, z, -2/7?
z
Let n(s) = -s**3 + 3*s**2 + s - 2. Let f be n(2). Let i = -34.081 - -0.781. Let j = i + 29.3. Which is the nearest to -0.1? (a) f (b) 0 (c) j
b
Let c = 5.03 + -5. Let o = 0.97 + c. Suppose 20*l - 296 - 294 = -550. What is the closest to o in 9, 2/9, l?
2/9
Let l = -16105 - -16104. Let y = -152/3 + 50. Which is the nearest to 0? (a) -0.3 (b) y (c) l
a
Let g = 13.6 + -14. Let n = g - -0.47. Let k = -302.8 + 303. Which is the closest to n? (a) 4 (b) k (c) -4
b
Let g = -403583/23 + 17547. Which is the closest to g? (a) 0.6 (b) -3 (c) -0.1 (d) -1/3
c
Let u = -6930 + 6767. What is the nearest to -0.1 in -3/2, -1, u, -0.5?
-0.5
Let g = -1.629 - -0.401. Let l = g - -0.228. What is the closest to -1 in 4, -5, l?
l
Let w be ((-34339)/(-230))/(2/4). Let x = -299 + w. Let s = -1.5 - 0.5. What is the closest to x in 2, s, 4?
s
Let n = 118 + -119. Let i = -1172 - -1172.4. Which is the closest to n? (a) i (b) -4 (c) -5 (d) -2
d
Let t = 488 + -633. Let q = t + 145.3. Let d = -23/6 - -247/66. Which is the closest to d? (a) 4 (b) q (c) 1/8
c
Let q = -3.08095 - -0.04195. Let g = q - 0.061. Let n = -2.6 - g. What is the closest to -1/4 in -0.5, n, -8?
-0.5
Let o = -3 + 2.9. Let r = o + 0.1. Let x = 570473/5 - 114095. Which is the nearest to x? (a) r (b) 1 (c) -5
a
Let m(v)
|
{
"pile_set_name": "DM Mathematics"
}
|
-17.35 - -17.85. Let t = 0.1 + -0.2. What is the nearest to t in 2/19, -0.1, k?
-0.1
Let z = -5 + 4.87. Let s = -178 - -178.87. Let o = s - z. Which is the nearest to 2? (a) -2/13 (b) o (c) -0.4
b
Let v = 551 + -1654/3. What is the nearest to v in 3, 0, -0.1, 0.4?
-0.1
Let d = -55 + 166/3. Which is the closest to d? (a) 2 (b) -2 (c) -0.08
c
Let s = -158.1 - -158.3. Which is the nearest to s? (a) -1 (b) 1 (c) -2 (d) -1.94
b
Let j = 1651.85 + -1652. Which is the closest to j? (a) 2 (b) 0.01 (c) 0.3
b
Let g be ((-33)/44)/(-2 - 26/(-16)). Suppose -6 = 3*r - l, 4*r + 5*l + 8 = g*l. Which is the closest to r? (a) 0 (b) 6 (c) 4/9
a
Let y = -2.64 + 2.94. Let l be (-8)/(-20) - 19/10. Which is the closest to -2/3? (a) y (b) 1 (c) l
c
Let n = -392/3 - -132. Let i be -1*(-1)/(-4) + 17/4. Let s be (i - 2)/10*5/3. What is the closest to -0.1 in n, s, -2?
s
Let n = 2.58 + 1.42. Which is the closest to 10? (a) -5 (b) n (c) 2
b
Let p = -4.15 - -3.15. What is the closest to p in 5, -2/5, 1/4, 3/4?
-2/5
Let h = 246.8 + -241.8. What is the nearest to -5 in -26, h, -5?
-5
Let t = -4.887 + -0.113. What is the closest to 2 in t, 0.5, 2/5?
0.5
Suppose 4 = 8*q - 4. Let a be (q - 0)*(7 - (6 + 0)). What is the closest to a in 2/23, -2/17, -5?
2/23
Suppose 18*p = 22*p - 4. Let r = -13 + 19. What is the closest to p in r, -0.2, -0.3?
-0.2
Let l be (-4 - (-8 + 3))*(0 - 0). What is the nearest to l in 4, 3, 2/5?
2/5
Let k be 9 - 1 - 342/54. Which is the nearest to 0.1? (a) -3 (b) -9 (c) -2 (d) k
d
Let y = -0.116 + -1.884. What is the closest to 2/7 in -1, -29, y?
-1
Let g = -104 - -39. Which is the closest to 0? (a) g (b) 1 (c) 0.2
c
Let m be (-1 - -2) + 52/(-48)*1. Let p = -38 + 23. Let h = 15.1 + p. Which is the closest to 0.3? (a) m (b) -1/5 (c) h
c
Let w = -0.35 + 0.65. Let o = 1 + 0. What is the nearest to 1 in 3, w, o?
o
Let r = 5.0847 - 0.0847. Which is the nearest to 4? (a) r (b) -0.3 (c) 2/5
a
Let u = -6/25723 + 47613321/205784. Let p = -231 + u. What is the nearest to 5 in -2/5, -3, p?
p
Let j = -1.02 - -0.02. Let y = -313 - -314. What is the closest to j in -2, y, 0.1?
-2
Let g = -4 + 2. Let i = 100063 - 898391/9. Let f = i - 242. What is the closest to -1 in 4, g, f?
f
Let h be ((-5)/(-10) + (-12)/(-8))/(-3). Let l = 143/370 - -1/74. Which is the closest to h? (a) 2/13 (b) 3/5 (c) l
a
Let o = 0.5 - 0.6. Let i be 2*1/(-21)*3/3. What is the nearest to -0.1 in o, -2/11, i?
o
Let v = -0.749 - -0.68. Let n = -0.931 + v. Which is the nearest to 0.1? (a) n (b) 0.2 (c) 0.5
b
Let k = -0.15 + 18.15. Let r = -323 - -340. Let f = k - r. What is the nearest to f in 5, -2, 2?
2
Let m be (3/(-2))/(8/(-16)). What is the nearest to 0 in -2/5, -3/7, -11, m?
-2/5
Let y = -2.8 + 3. Let w = 432.7 + -411. Let n = w - 22. What is the closest to y in 0.1, -3, n?
0.1
Let a(s) = -25*s + 177. Let l be a(7). What is the closest to 0 in 5, l, -4/7, -4?
-4/7
Let n be (-12)/(-16) + -1 - 78/(-24). What is the nearest to -1/3 in 0.4, -0.5, 0.5, n?
-0.5
Let v = -460 + 459.9. Let j be (2 - 9/15) + -2. What is the closest to 0.2 in v, 4/7, j?
v
Let k = 614 - 613. Which is the nearest to 2? (a) -1 (b) 4 (c) k
c
Let t(n) = n**3 + 4*n**2 + 2*n + 1. Let x = -29 - -26. Let j be t(x). Let m be (-4)/(j/1)*-1. Which is the closest to m? (a) 1 (b) 3 (c) -1/5
a
Let t = 2305.7 + -2306. Which is the closest to -2.29? (a) -2/7 (b) -2/9 (c) t
c
Let i be ((-2)/(-12))/((-315)/420). Let s = 0 + 3. Which is the closest to i? (a) s (b) -2/5 (c) 0
b
Let n = -0.9 + 0.4. Let g = -595.6 - -596. Let v = -67/96 + 1/32. Which is the nearest to v? (a) g (b) -3 (c) n
c
Let m be (-168)/(-180) - 2/(-5). Let f be 12/(-18)*66/4. Let l be 1/(-3) + f/12. What is the nearest to -0.1 in m, l, -2?
l
Let o = 0.613 + -0.523. Let w be 2 - (-24)/(-9) - 0. Which is the closest to o? (a) -3 (b) w (c) 1
b
Let t = -0.9261 - 0.0149. Let d = t - 0.059. Which is the nearest to 9? (a) 2 (b) d (c) -0.5
a
Let h = -82.9 - -83. Which is the closest to h? (a) -2 (b) -4 (c) -3/4
c
Let u = 1276 - 3827/3. What is the nearest to u in 1/2, 11, 5, 0.1?
1/2
Let n = -4 + 2. Suppose 10 - 7 = -3*a. Suppose 3*v = 2*v - 4*d + 13, 2*d - 4 = 0. What is the nearest to 1 in a, n, v?
a
Let m = 23.138 + -0.138. Let n = -28 + m. What is the nearest to n in 5, -1, -7?
-7
Let y = -277 - -281. What is the nearest to 0.1 in 10/9, y, 0.3?
0.3
Let q = 17/56 + -1/56. Which is the closest to -6? (a) q (b) -0.2 (c) 3
b
Let g = -9.6 + 9.6. Let y = 11 - 5. What is the nearest to g in y, -1, -2/13?
-2/13
Let h = -1.7 + -0.3. Let p = -2 + h. Let s = -7/41 + 62/123. What is the closest to 0 in 2/5, s, p?
s
Let y = 0.261 + 4.739. Let x = 1.3 - 0.3. Which is the closest to x? (a) -1 (b) 1/4 (c) y
b
Let o = -0.1 - -0.3. Let r = 0.6046 - 0.2046. What is the nearest to 0.1 in 15, r, o?
o
Let d be ((-28)/(-3))/((-3)/((-54)/(-2))). Let u = d + 88. What is the nearest to -3 in u, -4, 0.4?
-4
Let d be 12/(-4) + 22/8. Let y = 0.58 + -0.88. What is the nearest to 0.1 in -0.4, y, d?
d
Let c = 1004.4 + -1001. What is the nearest to -1 in -0.1, c, 0, 1/3?
-0.1
Let v = 1152.8 - 1153. Let m = -3 - -2.6. Let l = m + 0.6. Which is the nearest to -0.13? (a) l (b) 1 (c) v
c
Let g = -32 + 31.45. Let v = -0.25 - g. Which is the nearest to v? (a) 0.2 (b) -0.1 (c) 2
a
Let o = -1254/7 - -179. What is the nearest to 2 in o, -0.1, -2.7?
-0.1
Let q = -2.66 - -2.76. Let w = -11/2 + 5. Which is the closest to 0? (a) 2 (b) w (c) q
c
Let g be (0 + -3)*2/4. Let w be (-18 - (-195)/90) + 16. What is the closest to 5/3 in w, 2/9, g?
2/9
Let p = 66 - 65.899. Let k = p - 0.001. What is the nearest to k in -5, 2/27, -3/5?
2/27
Suppose -6*v + v = 0. Let x = 2.9895 + 0.0105. What is the closest to x in -5, -3, v?
v
Let k = -17 - -18. Suppose 0 = -2*l - 0*l - s + 9, -l + 3*s = 13. Let v = 73 + -69. What is the nearest to k in -4, v, l?
l
Let d be 8/(-8704)*8 - (-2)/16. Which is the nearest to 2/3? (a) 0 (b) d (c) -3
b
Suppose 4 = -t + 5. Let m = -97 + 583/6. Let u = 7 + -5. Which is the closest to 2? (a) u (b) t (c) m
a
Let b = -8 - -4. Let q = 1.1 + -6.1. Let p be (3 - (-4 - -5)) + (-15)/9. What is the nearest to p in -0.1, q, b?
-0.1
Let b = -39.909 - 0.091. Let a = b + 47. What is the closest to -0.1 in -1, a, 2?
-1
Let j(k) = -k**3 + 3*k**2 - 4*k + 2. Let a be j(2). Let g be -4*a/(-4) + 1. Let q be (-9)/16*(-4)/6. What is the nearest to g in -5, -3, q?
q
Let j be ((-70)/(-56))/(2/8). Suppose 3*w + 2*w - 35 = 0. Let k = w + -8. Which is the nearest to -1? (a) 2/9 (b) k (c) j
b
Let k = -0.1 + -0.1. Let q = 315 + -320. Let c be (-15)/42 - (-2)/4. What is the closest to c in k, 0.3, q?
0.3
Let a = -500 - -505. What is the closest to 1/4 in 4, a, 2, -0.06?
-0.06
Let t = -0.03 - 0.06. Let n = -1.341 + 1.241. What is the nearest to -2 in n, t, -2?
-2
Let v = -2.5 + 2.9. Suppose 3*u = 2*i + 21, 0 = -5*i - 0*u + u - 20. Which is the nearest to 0? (a) v (b) -2 (c) i
a
Let u = 23.8 + -6.8. Let f = 0.3 - 17.6. Let s = u + f. What is the closest to -2/7 in -3/5, s, 0?
s
Let x = -160 + 155. Let t be x/(-2)*(-4)/20. Let q be 8/(-6)*(-3)/10. What is the closest to -1 in q, 5, t?
t
Let p = 0.526 - -0.144. Let l = 0.57 - p. Let u be (4/(-8))/(1/10). Which is the closest to -1/2? (a) -2 (b) l (c) u
b
Let q be 1417/156 + -9 + (-106)/120. Which is the nearest to q? (a) 3/7 (b) -0.06 (c) 3
b
Let l(v) = v**3 - 13*v**2 - 3*v + 36. Let p be l(13). Which is the nearest to 1? (a) p (b) -18 (c) -1.3
c
Let u be 903/(-45)*4/658. Let k = -12/47 - u. Let h = 0.39 - 0.39. Which is the closest to h? (a) -4/3 (b) k (c) 0.5
b
Let s = -604 - -607. Suppose m + 8 = -3*d, -15 = 3*m + 3*d - 3. Which is the nearest to m? (a) 0 (b) 0.1 (c) s
a
Let o(u) = 8*u**3 - u**2 + 1. Let y be o(1). Let j be (18/y - 2)/((-6)/(-8)). Which is the nearest to 1/13? (a) j (b) -3/7 (c) 3/8
a
Let t be (136/340)/((-6)/(-5)). Which is the nearest to -2/3? (a) 24 (b) t (c) 2 (d) 1
b
Let x = -0.9 - 0.1. Let h be ((-2)/(-8))/(5*30/75). Which is the nearest to x? (a) 1 (b) 0.1 (c) h
b
Suppose 16 + 44 = -4*g - 2*u, -3*u - 6 = 0. Let o be (-4)/g + (-6)/42. What is the closest to 0 in 0.1, -2/17, o?
0.1
Let s = -1/53 + 58/265. Let w = 89 + -150. Let o = -184/3 - w. What
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-3)). What are the prime factors of (-5)/((-20)/36) + g?
2, 5
Suppose 0 = -g - 4*g + w + 149, 0 = 4*g - 5*w - 136. What are the prime factors of g?
29
Let g = 28 + -16. Suppose 0 = x - 2 - g. List the prime factors of x.
2, 7
Let o(a) be the first derivative of -2 + 3*a**2 - 4*a - a**2 + 0*a**2. What are the prime factors of o(3)?
2
Suppose 2*p = 5*a - 10, 2*p + 3*a + 20 = -2*p. Let s(g) = 2*g + 2. Let o be s(p). Let w = o + 11. What are the prime factors of w?
3
Suppose 6 - 2 = -r. Let x = 7 + r. List the prime factors of x.
3
Let t = 22 + -31. Let b be (2/(-3))/(6/t). Let p = b + 11. What are the prime factors of p?
2, 3
Suppose -2*f + 3*f = 18. Let g be f/((-7)/((-14)/4)). Let c = 5 + g. List the prime factors of c.
2, 7
Let k = -1 + 1. Suppose 5*v - v - 84 = k. Suppose 4*f + v - 4 = -5*w, -25 = 5*w. List the prime factors of f.
2
Let s(p) = 20*p**2 - p + 1. Let i be s(1). Suppose 5*v + 15 = 0, 0*z - 4*z = 4*v + i. Let r = z - -16. What are the prime factors of r?
2, 7
Suppose 0 = 3*a + 5*g + 9, -2*g - 2*g - 10 = a. Let v be (-1 + a)*-3 + -1. Let c(l) = l**2 + l. List the prime factors of c(v).
2, 3
Let b(h) = -h**2 + 2*h + 3. Let f be b(5). Let c be (-4)/f*(27 + 0). List the prime factors of -3 - (2 - c) - 0.
2
Let u = 81 - 33. List the prime factors of u.
2, 3
Let k = -53 + 16. Let m = -22 - k. Suppose m + 24 = 3*s. List the prime factors of s.
13
List the prime factors of (-53)/(-2)*(8 - 6).
53
Let u be ((-18)/(-2))/3 + 1. Suppose -7*g - u = -9*g. Suppose -4*d + 4 = 2*f, -5*d - g*f - 3*f = 0. List the prime factors of d.
2
List the prime factors of -12*11*(2 - (-6)/(-2)).
2, 3, 11
Let k(i) = -3*i + 0 - 3 - 2*i + 0*i. Let j be k(-7). Suppose -7*u + j = -3*u. List the prime factors of u.
2
Let n(i) be the third derivative of -i**5/60 - 3*i**4/8 + 5*i**3/3 + 2*i**2. What are the prime factors of n(-9)?
2, 5
Let d(i) = i**2 + 4*i + 3. Let n be d(-3). Suppose -2*v + 28 = -18. Suppose n*k + k = 4*t - 79, -3*k = t - v. List the prime factors of t.
2, 5
Let p = 117 - 62. List the prime factors of p.
5, 11
Let c be -3 - (-3)/((-3)/(-2)). Let w = 2 - c. Let b = w - -8. What are the prime factors of b?
11
Let a(h) = -h - 1. Let p be a(1). Let w = p - -5. Suppose -3*x + 18 = u, 5*u = w*x - x + 56. What are the prime factors of u?
2, 3
Suppose -4*n = -3*j - 2 + 7, -n = 2*j - 7. Suppose -j*s = -73 + 19. List the prime factors of s.
2, 3
Suppose 0 = -2*q - 3*h + 9, -2*h = 5*q - 3 - 3. Suppose 5*s - o + q - 16 = 0, -4*s = 4*o - 32. List the prime factors of s.
2
Let r = -114 - -201. What are the prime factors of r?
3, 29
Let u(z) = -z - 1. Let b be u(-8). Let q(r) = 2*r + b*r**3 + 5*r**2 + r**2 + 1 - 5*r**2 - 22*r**3. What are the prime factors of q(-1)?
3, 5
Let p = 22 - 5. List the prime factors of p.
17
What are the prime factors of 40*((-68)/(-12) - (-1)/(-6))?
2, 5, 11
Let f(x) = -x + 2*x + x**2 - 3 - 8*x - x. Let p be f(-5). Suppose 18 + p = 4*s. List the prime factors of s.
2, 5
Suppose -27 = -5*r - 4*q, 12 = -3*r + 5*r + 2*q. Suppose -4*y + 13 = -r*y. What are the prime factors of y?
13
Let d = -112 + 166. List the prime factors of d.
2, 3
Let k(s) = -s**3 + 2*s**2 + 3*s - 3. Let h be -2 + 0 - 16/(-4). What are the prime factors of k(h)?
3
Suppose -7*y = -4*y - 42. List the prime factors of y.
2, 7
Suppose j - 90 = 6*j. Let q be 0/(-3) + j - 2. What are the prime factors of q/(-9) + 4/(-18)?
2
Suppose -7*h + 3540 = 5*h. What are the prime factors of h?
5, 59
Suppose 5*q = 20, 5*v - q - 33 = 163. Suppose 3*k + 1 - 19 = 0. Suppose k*r = r + v. What are the prime factors of r?
2
Suppose 77 + 82 = 2*k - 3*q, 2*q + 77 = k. List the prime factors of k.
3, 29
Suppose 2*u = w - 3, 3*u + 5*w + 12 = -12. Let o be (26/2)/(u/(-12)). Suppose 0*h - 4*h = -o. What are the prime factors of h?
13
Let k(d) = -4 - d**3 - d - 9*d - 10*d**2 + 20*d. What are the prime factors of k(-11)?
7
Let a be (1 - 0)/((-2)/4). Let x = 1 - a. List the prime factors of x.
3
Let w = -2 + 4. Suppose 5*g + w*p - 298 = 0, 0 = -g - g + 2*p + 122. Suppose 0 = -7*o + 4*o + g. What are the prime factors of o?
2, 5
Let x be (6/9)/((-2)/3). Let o = -8 - -14. Let k = x + o. List the prime factors of k.
5
Suppose 0 = -4*r + 75 - 15. Let a = -10 + r. List the prime factors of a.
5
List the prime factors of (-1 - 1) + (-3 - -4) + 19.
2, 3
Let i(l) = -20*l - 94. What are the prime factors of i(-6)?
2, 13
Let b be (8/10)/(4/10). Suppose -t - b*v = -19, 3*t - 5*v - 8 = 16. List the prime factors of t.
13
Let s be (-558)/(-135) + (-2)/15. Suppose -s*y + 2*k + 0*k = -68, -4*y = 3*k - 58. What are the prime factors of y?
2
Suppose 2*d = 1 + 5. Let s be -1 + d/3 + 2. List the prime factors of (-150)/(-14) - s/(-7).
11
Let a be (-54)/(-5) + 4/20. Suppose 4*u - 77 - a = h, 5*u - 113 = 2*h. What are the prime factors of u?
3, 7
Let k(l) = l**2 - 11*l + 12. Let n(b) = -2*b - 6*b**2 - 9*b + 7*b**2 - 8 + 20. Let o(d) = -5*k(d) + 4*n(d). List the prime factors of o(8).
2, 3
Let o(l) = l**2 + l - 4. Let r(m) = -m**3 - 4*m**2 + 3. Let k be r(-4). List the prime factors of o(k).
2
List the prime factors of (-2 + 2/3)*-12.
2
Suppose -4*h + 6 + 6 = 0. Suppose -h*v + 14 = 3*z + v, -z + 4*v = 6. Suppose -6 + z = -p. What are the prime factors of p?
2
Let r = -108 - -259. List the prime factors of r.
151
Let p(d) be the third derivative of d**7/1260 - d**4/8 + 3*d**2. Let c(u) be the second derivative of p(u). List the prime factors of c(1).
2
Let o(v) = 21*v - 1. Let u be ((-2)/(-3))/(4/6). What are the prime factors of o(u)?
2, 5
Let f(a) be the first derivative of a**4/4 - 2*a**3 - 3*a**2 + 6*a + 12. Suppose 0 = -5*j + 19 + 16. List the prime factors of f(j).
13
Suppose -2*g + 3 = -5. Let r be 1 + -3 + -2 + g. Let k(u) = u + 5. List the prime factors of k(r).
5
Suppose -2 + 6 = 3*x + 2*h, 2*x = -4*h. Suppose -3*k - 1 = -u, 3*k - 53 = -3*u + x*k. List the prime factors of u.
2
Let j(i) = i**2 + 11*i + 12. What are the prime factors of j(-11)?
2, 3
List the prime factors of (4/(-5))/((-2)/25).
2, 5
Let p be (0*2/(-2))/2. Let c(v) = v + 19. List the prime factors of c(p).
19
Suppose 15 = 5*v - 2*v. Let u(w) = 12*w + 2. Let m(k) = 6*k + 1. Let b(p) = v*m(p) - 3*u(p). List the prime factors of b(-2).
11
Suppose j + 0*j - 16 = -4*o, 3*o = -4*j - 1. Let i(v) = v**2 - v. What are the prime factors of i(j)?
2, 5
List the prime factors of 1 - (0 + -6 + 3).
2
List the prime factors of (-25)/2*(-4 + 0).
2, 5
Suppose 2*g - 2 = -0. What are the prime factors of g*-44*51/(-68)?
3, 11
Suppose 8 = -5*i + i. Let r be 8/4*(-5)/i. Suppose c - 2 = -k, r = -3*k + 5*c + 11. What are the prime factors of k?
2
Let r = 10 + -7. Suppose g = -r*g + 8. What are the prime factors of g?
2
Suppose -8*i + 158 + 10 = 0. List the prime factors of i.
3, 7
Let y(j) = -2*j**3 - 4*j**2 - 2*j - 3. Let p = -13 - -10. What are the prime factors of y(p)?
3, 7
Suppose 0 + 2 = -2*t. Let j be (-4 - t)/((-6)/4). What are the prime factors of 22/6 + j/(-3)?
3
What are the prime factors of (3 - 15/4)/((-2)/32)?
2, 3
Let y = 3 - 0. Let q be 2/y + 32/6. Let k(j) = -j**2 + 8*j - 5. List the prime factors of k(q).
7
Let g(b) = b**2 + 2*b + 14. What are the prime factors of g(-6)?
2, 19
Let v = 27 + -33. Let y(k) be the first derivative of k**4/4 + 7*k**3/3 + 5*k**2/2 + 2*k - 1. List the prime factors of y(v).
2
Let w(p) be the third derivative of 11*p**6/120 + p**5/30 - p**4/24 - p**2. What are the prime factors of w(1)?
2, 3
Let d(n) = n**3 - 9*n**2 + 8*n + 7. List the prime factors of d(8).
7
Let y = 10 + -7. Suppose -z + 13 = -2*a, y*z - 5*a - 13 = 2*z. List the prime factors of z.
13
Let f(r) = 4*r**2 + r + 1. Suppose 0 = 2*v + 2 - 0. Let b be f(v). Suppose -1 = -x + b. What are the prime factors of x?
5
Let z be 1/(-2) - 371/(-2). Suppose -2*p + x = -0*p - 76, 5*p - z = 5*x. What are the prime factors of p?
3, 13
Suppose 5*u = -0*u + 20. Suppose 79 - u = 5*k. List the prime factors of k.
3, 5
Let b be (-2)/(-6) - (-136)/6. Let j = b - 14. What are the prime factors of j?
3
Suppose 0 = 3*w + 2*w + 45. Let t = w - -8. List the prime factors of (0/1 + -7)*t.
7
Let a(u) = 2*u. Let y be a(3). Suppose y*o = o + 10. List the prime factors of o.
2
Suppose -8 = -4*d, -4 = -2*l - 2*d + 2. Suppose -5*v - 4*u = 9 + l, 0 = 5*u. List the prime factors of (-11)/v - 1/
|
{
"pile_set_name": "DM Mathematics"
}
|
t of d?
1
Suppose 4*f = -2*r + 95842 + 18566, -5*r + 4*f + 286146 = 0. What is the ten thousands digit of r?
5
Let g = 2951 + 2093. What is the tens digit of g?
4
Suppose 1790 = 3*a - 4*y - 1113, 5*y + 2908 = 3*a. Let x = -181 + a. What is the tens digit of x?
8
Let t = 23435 - -18068. What is the units digit of 6/15 + t/55?
5
Let k(a) = 18*a + 38. Let d be k(-4). Suppose 85 = -2*r + 3*r. Let s = r + d. What is the units digit of s?
1
Let g = -47 - -55. Suppose -g = -25*w + 24*w. Suppose -980 = -w*q + 940. What is the units digit of q?
0
Let r(n) = 929*n + 729. What is the units digit of r(13)?
6
Let l be ((-36)/24)/((-2)/12). Suppose 5*u = -4*j + 2270, -l*j + 10*j - 572 = u. What is the tens digit of j?
7
Suppose -50253 = -50*p + 64947. What is the tens digit of p?
0
Suppose 6*n = 53 + 1. Suppose 7*i = n*i - 576. Let z = i + -154. What is the tens digit of z?
3
Suppose -158*m + 3875329 = 907615. What is the units digit of m?
3
What is the units digit of (-86)/(-26) - 3 - 244707120/(-5382)?
8
Suppose -8 = t + 16. Let u be 3 + -4 - (1 - t/(-4)). Suppose -4*m - u*x + 224 = 0, -m + 2*x - 39 + 101 = 0. What is the tens digit of m?
5
Suppose 0 = -3*i - 4*f + 274, -3*i + 273 = -7*f + 10*f. Suppose 5*c + 6*o - 2*o = 105, 5*c - i = -o. Suppose -1152 = 11*m - c*m. What is the units digit of m?
2
Let p(q) be the second derivative of 12*q + 1/6*q**4 + 1/2*q**3 + 2 - 17/2*q**2. What is the tens digit of p(-9)?
1
Let i = 65 + -56. What is the units digit of i/(108/(-32))*-78?
8
Let o be (540/35)/((-20)/(-70)). What is the hundreds digit of o/(6*5/225)?
4
Suppose 6*b + 379 = 157. Suppose 11*w - w = -500. Let m = b - w. What is the tens digit of m?
1
Suppose -5*n = 5*h + 8325, 4*n - 4*h = h - 6651. Let p = n - -2800. What is the hundreds digit of p?
1
Let u be (2 - 3)*(-4 - 16). What is the tens digit of 1 + u*37/2?
7
What is the hundreds digit of (42/12 - 3/3)*2660532/190?
0
Suppose 3*s + 9 = 0, 17*o + 6945 = 19*o + 5*s. What is the units digit of o?
0
Let a(t) = t**3 - 32*t**2 + 59*t + 38. Let d be a(30). Suppose -14*n - d*n = -2926. What is the hundreds digit of n?
1
Let g(t) = -97*t**3 + 3*t**2 + 3*t + 1. Let w be g(-1). Suppose 0 = 4*f - 2230 + w. What is the tens digit of f?
3
Let j(g) = -9*g + 69 + 85*g**2 - 5*g - 83*g**2. What is the units digit of j(23)?
5
Let v(i) = 4863*i - 7805. What is the tens digit of v(7)?
3
Let k(g) = -g**2 + g + 1. Let y(p) = -171*p**3 - 4*p**2 + 4*p - 2. Let q(b) = -6*k(b) + y(b). What is the tens digit of q(-2)?
7
Suppose -20 = -5*y - 5*j, 0*j = -2*y + j + 17. Suppose y*s + 126 = 2814. What is the hundreds digit of s?
3
Let n(f) = 85*f**2 + 25*f + 103. What is the units digit of n(-4)?
3
Suppose -d = o - 5, -2*o - 5*d = o - 17. Suppose 1194 = 3*c - o*p, 5*c + 684 = -4*p + 2674. What is the hundreds digit of c?
3
Let z = 378 - -585. Let v = 75 + z. What is the tens digit of v?
3
Let z(i) = -833*i**2. Let r be z(1). Let u = 1176 + r. Suppose 0*h = -3*h + 3*s + 264, -u = -4*h + s. What is the tens digit of h?
8
Let p(v) = 2*v**2 - 11*v - 15. Let z be p(7). Suppose 11 = r - z*l + 7*l, 0 = l. Suppose 6*b - r*b + 390 = 0. What is the units digit of b?
8
What is the ten thousands digit of -4 + (-16)/((-224)/215166)?
1
Let r(x) = 32*x**2 - 62*x + 91. What is the units digit of r(18)?
3
Let q(f) = 32*f**2 - 2*f. Let p be q(-1). Suppose 29*c + 1795 = p*c. What is the tens digit of c?
5
What is the units digit of (35386/1)/(240/(-160)*8/(-6))?
3
Let g = 12 + -10. Let l be 264/110 - g/5. Suppose -l*r + 333 = -5*a, 2*r - 98 = a + 231. What is the hundreds digit of r?
1
Suppose 59*s - 115 = 36*s. What is the hundreds digit of (-1)/((-2)/9640*s)?
9
Suppose 2*f - 21629 = n + 56694, 4*f + 5*n = 156639. What is the hundreds digit of f?
1
Let o = 37050 - 21429. What is the hundreds digit of o?
6
Let i = 1931 - 1826. Let w = 5 + 0. Suppose 3*t = o + i, -3*t + 99 = -w*o + 2*o. What is the tens digit of t?
3
Let d(f) = -f + 14. Let k be d(10). Suppose -4*i - a + 243 = 95, -k*i = -4*a - 148. Let z = 40 + i. What is the units digit of z?
7
What is the thousands digit of (-266368)/(-16) - (2 - (-5 - -7))?
6
Let y = 5197 - 2502. Suppose -5*q - y = -8*x + 3*x, -3*x = 3*q - 1623. What is the tens digit of x?
4
Let d(z) = z**2 + 16*z + 30. Let k be d(-14). Let j(u) = 12*u**k + 4 - u**3 + 10*u**2 - 21*u + 6 + 1. What is the tens digit of j(21)?
1
Suppose 23*h + 19728 = 41*h. Let v = h - 147. What is the units digit of v?
9
Let m be (18/15)/((-42)/(-2240)). What is the hundreds digit of (-12 + 6 + m)/((-2)/(-16))?
4
Suppose 5*y + 0*y - 1347 = 3*b, 3*b + 5*y = -1317. Let u = b - -945. What is the tens digit of u?
0
Let t(h) be the second derivative of 6*h**3 + 393*h**2/2 - 12*h - 5. What is the hundreds digit of t(6)?
6
Let q be 828/15*(-2 - (5 + -2)). What is the tens digit of (-12)/(-12) + 1 + q/(-2)?
4
Let y be -2 - (4/(-8))/(1/12). Suppose o - d + 5 = 0, -d + 15 = y*o + 2*d. Suppose -176 = -3*v - 2*m, o*v + 228 = 4*v + 4*m. What is the units digit of v?
2
Suppose -2*v + u + u - 88 = 0, 2*v = 5*u - 103. Let d be v/((-5)/(-10) + 1). Let l = d - -55. What is the tens digit of l?
2
Let l be (-1)/1 - (-320)/5. Let z = l + -59. Suppose -2*d = z*d - 354. What is the tens digit of d?
5
What is the ten thousands digit of ((-4159)/(-4))/((-613)/(-22068))?
3
Let h = 2775 - 1494. What is the thousands digit of h?
1
Let o(r) = 3*r + 3. Let g be o(-1). Suppose -3*f = 2*v - 101, g*v + 2 = 2*v. What is the tens digit of f + (-4)/((-16)/4)?
3
Suppose 12 = -3*c, -4*a + 9*c - 5*c + 21312 = 0. What is the hundreds digit of a?
3
Suppose -v - 3 = 0, -s - 4*v + 8759 = -4103. What is the units digit of s?
4
What is the tens digit of (9 - 3)*(-339867)/(-198)?
9
Suppose 6*i - 7645 + 427 = 0. Let y = 1801 - i. What is the hundreds digit of y?
5
Let m be (-6)/(9/((-540)/8)). Let q = m - 47. What is the tens digit of q*((-7)/56 + 582/(-16))?
7
Suppose 0 = -7*m + 6*m - 2*z - 8, 3*m = -2*z - 8. Suppose x + 5*l - 40 = m, -16*x + 94 = -13*x + 2*l. What is the tens digit of x?
3
Let f(k) = -6*k - 4. Let m be f(-2). Suppose 0 = -m*b - 21 - 187. Let g = b - -49. What is the units digit of g?
3
Let d = 17244 + -5681. What is the units digit of d?
3
Suppose 5*k = 2*k - 2*a - 53, 0 = 5*k - 2*a + 67. Let t(w) = w**2 + 5*w - 14. Let i be t(k). Suppose -128 = -3*z + i. What is the tens digit of z?
8
Suppose -2*v = -702*d + 707*d - 131858, 0 = -4*v - d + 263662. What is the ten thousands digit of v?
6
Suppose 16*g + 158*g + 21359 = 142985. What is the units digit of g?
9
Suppose -3*m = z - 20915, -27900 = -4*m - 0*m - 4*z. What is the tens digit of m?
7
Let q be (-26)/(-16)*2 - (-21)/(-84). Let j be (-459)/(-18)*2/q. Suppose -89 = -2*f + j. What is the units digit of f?
3
Suppose 0 = -n + 3*i + 3840 + 1983, -5*n + i + 29129 = 0. What is the hundreds digit of n?
8
Let u(h) = 121*h**2 + 44*h + 112. What is the tens digit of u(-3)?
6
Suppose -39 + 147 = 6*s. Let u = -18 + s. What is the units digit of ((-22 + u)/(-2))/(3/27)?
9
Let t(s) = 2*s**3 + 32*s**2 - 28. Let o be t(-16). What is the units digit of (o/35)/(4/(-1760))?
2
Suppose 16*p = -p - 163183 + 596564. What is the units digit of p?
3
Suppose 7*j - 3 + 339 = 0. Let l be (j/20 - -3) + (-2709)/15. What is the tens digit of ((-123)/(-4))/((-27)/l)?
0
Let v = 48 + -44. Suppose -v*w + 349 = 61. Suppose -w = -0*y - 9*y. What is the units digit of y?
8
Let d be 680/85*(1 - 0). Let j(r) = 11*r**2 + 37*r - 4. What is the units digit of j(d)?
6
Let d(b) = -b. Let x(a) = 26*a + 13. Let s(k) = -6*d(k) - x(k). Suppose 0 = -4*w - 24, 5*y = 7*w - 2*w - 20. What is the hundreds digit of s(y)?
1
Let o be 3/(-4 + 1) + -405. What is the hundreds digit of (3 - o)/((-4)/(-4))?
4
Let o(j) = 6*j**2 + 51*j + 23. Let i be o(-7). What is the thousands digit of ((-768)/i)/8*420?
1
Let r(a) = -2*a**2 + 42*a + 55. Let m be r(17). Let w = 70 + -173. Let s = w + m. What is the tens digit of s?
8
Let h(x) = 20*x - 119. Let b be h(7). Suppose -k + 18*g - b*g = -285, -592 = -2*k + 5*g. What is the units digit of k?
1
Suppose r - 4*m - 1067 = 1902, -3*r + 8982 = 3*m. Suppose 4*f = 3*n - 5*n + 2986, -4*f = n - r. What is the tens digit of f?
4
Let m(f) = -3327*f - 7096. What is the ten thousands digit of m(-8)?
1
Suppose 5*r - x - 11 = 0, 4*r + 6 = 5*x + 19. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
rt m?
-41154*m**2 + 2*m + 2
What is the derivative of -8988*l**3*o*q**2 + 3*l**3*o*q + l**3*q + 908*l*q - 14*q**2 wrt o?
-8988*l**3*q**2 + 3*l**3*q
Find the third derivative of f*o**4 - 7*f*o**3 - f*o**2 - 15541*f + 33058*o**4 wrt o.
24*f*o - 42*f + 793392*o
What is the derivative of 2*k**2 + 5438*k + 34275 wrt k?
4*k + 5438
What is the second derivative of 1784*k**2*x**2 + 3*k**2*x + 2*k**2 + 2455*k*x + 29*x**2 + 3*x - 2 wrt x?
3568*k**2 + 58
What is the first derivative of 15066*v**4*y + 3*v**2*y**3 - 13*y**3 - 2591 wrt v?
60264*v**3*y + 6*v*y**3
Find the second derivative of 17*c*x**4 + c*x**2 - 188*c*x - 3*c + 9892*x**2 - 2*x + 190 wrt x.
204*c*x**2 + 2*c + 19784
Find the third derivative of 84636*a**5*h + 155237*a**2*h - 7*a**2 - 2*a*h wrt a.
5078160*a**2*h
Find the second derivative of c**5 - 1181*c**4*l - 7*c*l + 2*c + 392*l + 2 wrt c.
20*c**3 - 14172*c**2*l
What is the third derivative of 20*f*r**4 - f*r**3 + 49*f*r**2 - 3*r**3 - 425*r**2 wrt r?
480*f*r - 6*f - 18
What is the second derivative of -26859*a**2 + 4131*a + 8 wrt a?
-53718
What is the third derivative of -2*x**4*z + 77*x**4 - 942*x**3*z**3 + 3*x**2*z**2 - 2*x*z**3 + 40*z**2 + 44 wrt x?
-48*x*z + 1848*x - 5652*z**3
What is the third derivative of -15840*v**5 + 4*v**4 + 373191*v**2?
-950400*v**2 + 96*v
Find the second derivative of -2*b**5 - 561608*b**3 - 3665126*b wrt b.
-40*b**3 - 3369648*b
Find the second derivative of -19*d*g**3*h + 7*d*g**2 - 2*d*g - 69*g**4*h - 1421*g*h - 3*g wrt g.
-114*d*g*h + 14*d - 828*g**2*h
Find the first derivative of -1897871*d**3*j + 38620*d**3 - 3*d wrt j.
-1897871*d**3
Find the third derivative of -t**5 + 11288*t**4 - 18*t**2 + 208*t wrt t.
-60*t**2 + 270912*t
Find the first derivative of -33093*i + 7574.
-33093
What is the first derivative of 2499343*m - 1909507 wrt m?
2499343
Find the third derivative of 560*g**6 - 112*g**5 - 1200362*g**2.
67200*g**3 - 6720*g**2
Differentiate 318*y + 10460.
318
Differentiate 17*u**2*w**2 - 364*u*w**3 - 41733*w**3 with respect to u.
34*u*w**2 - 364*w**3
What is the third derivative of -30181*c**5 + 1947*c**2 - 17*c wrt c?
-1810860*c**2
Find the third derivative of -12*g**3*m + 4*g**3*t**3 - 997*g**3*t**2 - g**2 + 13*g*m*t + 3048*g*t**3 wrt g.
-72*m + 24*t**3 - 5982*t**2
What is the third derivative of -k**6 + 1345*k**4*l + 113*k**2*l + k**2 + 6*l + 4 wrt k?
-120*k**3 + 32280*k*l
Find the second derivative of 57*k**5 - 11*k**3 + 17*k**2 - 2723310*k.
1140*k**3 - 66*k + 34
What is the derivative of -4*y**2 + 966*y + 28638 wrt y?
-8*y + 966
Find the first derivative of -47208*s**4*z + 131566*z wrt s.
-188832*s**3*z
Find the second derivative of 1015235*t**2 - 17218*t - 20.
2030470
What is the second derivative of 105*h**5 - h**3 + 2*h**2 - 17362*h?
2100*h**3 - 6*h + 4
Differentiate -7648*b**3*p + 4*b**3 - 920*b - 5*p**2 wrt p.
-7648*b**3 - 10*p
Find the second derivative of -30*j**4 + 213*j**3 + 3*j**2 + 364692*j.
-360*j**2 + 1278*j + 6
Find the third derivative of -469*f**6 + 30*f**5 - 2*f**2 + 6*f + 13529 wrt f.
-56280*f**3 + 1800*f**2
Find the third derivative of -3*t**6 + 7927*t**4 - 39*t**2 + 5*t + 12.
-360*t**3 + 190248*t
Find the first derivative of -3*h*k**2 + 4*h*k + 5536*h + 68801*k**2 wrt h.
-3*k**2 + 4*k + 5536
What is the second derivative of q**3*y**2 + 4*q**3*y + 9248*q**2*y**2 - 496*q*y**2 - 783*q*y wrt q?
6*q*y**2 + 24*q*y + 18496*y**2
Find the third derivative of 262*h**2*k**2 + 5*h**2*k*t**3 - 8*h**2*k*t**2 - 2*h**2*k + 138*h**2*t**3 + k**2*t**3 + 6*k*t**2 wrt t.
30*h**2*k + 828*h**2 + 6*k**2
Find the second derivative of -6619348*x**2 - 1485076*x.
-13238696
Find the second derivative of 107771*p**2 + 3806*p + 52 wrt p.
215542
What is the second derivative of 679*a**2*d**2 + 2*a**2*d*j - 11*a**2*j - 8*a*d**2*j - 10*a*d**2 + 2966*a*d + a*j - 3*d**2 wrt d?
1358*a**2 - 16*a*j - 20*a - 6
Differentiate -55*b**3*y**3 - 2*b**3 + 191*b*y + 52*b - 55 with respect to y.
-165*b**3*y**2 + 191*b
Find the third derivative of -210*v**3*x**3 + 2*v**3*x - 6*v**3 + 10*v**2*x**3 - v**2*x**2 + 3*v*x**2 - 96*x**3 wrt v.
-1260*x**3 + 12*x - 36
Differentiate -22779*k**4 - 30751.
-91116*k**3
Find the third derivative of -2*q*y**4 + 10641*q*y**3 - 3*q*y**2 - 167254*q*y + 21*y**3 wrt y.
-48*q*y + 63846*q + 126
Find the first derivative of -336*k**2*l + 36*k**2 - 114*k*l - 5*k - 5*l + 601 wrt l.
-336*k**2 - 114*k - 5
Find the third derivative of 16*g**5*w**2 - 424*g**4*w**3 - 28*g**2*w**2 + g**2*w - 17*w**3 + 1 wrt g.
960*g**2*w**2 - 10176*g*w**3
Find the third derivative of 2*a**5 + 26426*a**4 + 2*a**3 - 66121*a**2 wrt a.
120*a**2 + 634224*a + 12
Find the third derivative of -u*x**3 - u + 14183*x**5 + 15163*x**2 wrt x.
-6*u + 850980*x**2
Find the first derivative of 35986*q**3*y - 1423*q**3 - 4*q**2 - 1 wrt y.
35986*q**3
Differentiate 1975*d**2*v*x - 46*d**2*v + 8411*d**2*x - 2*d**2 - 2*x - 4 wrt v.
1975*d**2*x - 46*d**2
What is the third derivative of 1220*i*j*n**3 + 9*i*j*n - 2*i*j + 24*i*n**2 - 168*j*n - 764*n**4 + 3*n**2 + 1 wrt n?
7320*i*j - 18336*n
What is the second derivative of 489*m**4 + 449*m**3 - 4160157*m wrt m?
5868*m**2 + 2694*m
Find the third derivative of 1419642*f**3 + 68*f**2 + 418*f + 3 wrt f.
8517852
What is the third derivative of -15*k*y**5 - 10*k*y**4 + 168*k*y**2 - k*y + 14*k - 619*y**3 - 2*y**2 wrt y?
-900*k*y**2 - 240*k*y - 3714
What is the second derivative of -29033*r**3 + 11*r + 1913?
-174198*r
Differentiate -7196842*k**3 - 2492205 wrt k.
-21590526*k**2
Differentiate 57537*w - 36966 with respect to w.
57537
What is the derivative of -3*k**3*r + 67*k**3 + 8*k**2*r + 151*k**2 + k*r - k + 4139*r + 1 wrt r?
-3*k**3 + 8*k**2 + k + 4139
Differentiate 13*r**2*x**2 + 33*r*x**2 + 4*r - 23*x**2 + 218*x with respect to r.
26*r*x**2 + 33*x**2 + 4
Find the third derivative of 25479*b**3 + 85*b**2 - b - 14.
152874
Find the second derivative of 6*g**3 + 256*g**2 - 324495*g - 2.
36*g + 512
What is the third derivative of -3516*y**3 - 22236*y**2 - 1 wrt y?
-21096
Find the first derivative of 22773*a + 12264 wrt a.
22773
Differentiate -s**2*t + 19924*s**2 - 21701*s*t + s wrt t.
-s**2 - 21701*s
What is the second derivative of -1334155*r**3 - 6222*r + 18?
-8004930*r
Find the first derivative of 2*c*i*m + 23*c*i*n + 556*c*i + 4*c - 3*m*n**2 + 6*m + 162*n**3 wrt n.
23*c*i - 6*m*n + 486*n**2
What is the second derivative of -b**4 + 3*b**3 - 480578*b**2 - 3762792*b?
-12*b**2 + 18*b - 961156
Find the first derivative of -29462*i**2 - i + 65018.
-58924*i - 1
What is the first derivative of -7964*g**2 - 7632?
-15928*g
Find the third derivative of -11489*i**4 - 670*i**2 + i wrt i.
-275736*i
Find the second derivative of -5*k**3*x**3 + 2*k**3*x + 70*k**2*x**3 - 836*k*x - x**3 wrt x.
-30*k**3*x + 420*k**2*x - 6*x
Differentiate 55*c*d*p - 72*c*d + 142*c*p + 121*d with respect to p.
55*c*d + 142*c
Find the third derivative of 2521367*o**3 + 1450200*o**2 wrt o.
15128202
Find the first derivative of 2*o*u*w**3 + 2409*o*u*w**2 - 2*o*u*w - 3*u*w**3 + 4682*w**3 + w**2 wrt o.
2*u*w**3 + 2409*u*w**2 - 2*u*w
Find the second derivative of 48531*j**5*x**2 + 8*j**3*x**3 + 6*j - 9539*x**3 - x**2 wrt j.
970620*j**3*x**2 + 48*j*x**3
Differentiate 34923*l*q + 24976*l - 12 wrt q.
34923*l
What is the second derivative of -9*p**3 - 2076*p**2 + p + 3515?
-54*p - 4152
Find the third derivative of -42*m*x**3*y + 198*m*y + 2*m + 3*x**5*y - 6*x**3*y - 2*x**2*y + x**2 + 22*x*y wrt x.
-252*m*y + 180*x**2*y - 36*y
What is the second derivative of -78206*a**5 - 4*a**2 - 204304*a wrt a?
-1564120*a**3 - 8
Find the second derivative of 63*p**2*u**2*y - 399*p**2*y - 4*p**2 - 2*p*u**2*y - 2*p*u*y - 3*p*u + 4*u**2 wrt u.
126*p**2*y - 4*p*y + 8
Differentiate -2333*c**3 + 2*c**2 - 23*c + 397434 with respect to c.
-6999*c**2 + 4*c - 23
Differentiate -33*j**3*k*p - 2*j**3*p - 149*j**3 + 11*j**2*k**2*p + 2*j + k**2 + 2*p with respect to k.
-33*j**3*p + 22*j**2*k*p + 2*k
What is the second derivative of 48313*g**2*v**2 + g**2*v - 502*g*v wrt v?
96626*g**2
Find the second derivative of -11149*c**3*t + 105*c**2*t - c*t + 3*c - 3278*t + 16 wrt c.
-66894*c*t + 210*t
Differentiate -70*o**4*y + 1301*o**3*y - 989615*y wrt o.
-280*o**3*y + 3903*o**2*y
Differentiate 4*i**2 - 14448*i - 123300.
8*i - 14448
What is the first derivative of -218329*i - 148822 wrt i?
|
{
"pile_set_name": "DM Mathematics"
}
|
*c**2 + 134*c + 1581. What is i(-52)?
21
Let a(m) = 29*m + 1159. Determine a(-39).
28
Let m(i) = -i**3 - 114*i**2 - 225*i - 119. Determine m(-112).
-7
Let i(s) = -s**3 + 6*s**2 + 13*s - 7. Calculate i(9).
-133
Let k(f) = -f**3 - 14*f**2 - 26*f + 51. Calculate k(-9).
-120
Let q(z) = z**2 - 190*z + 1092. Give q(6).
-12
Let k(x) = -x**2 + 882*x + 4406. Give k(-5).
-29
Let n(u) = -25*u**2 + 17*u + 47. Give n(-3).
-229
Let m(o) = o**2 - 326*o + 9160. Determine m(31).
15
Let x(d) = -d**2 - 26*d + 6400. Calculate x(68).
8
Let t(n) = 22*n**2 + 163*n + 42. Calculate t(-6).
-144
Let w(g) = -2*g**3 + 31*g**2 - 32*g + 144. Give w(15).
-111
Let u(n) = -36*n**2 + 1113*n + 70. Calculate u(31).
-23
Let t(z) = 131*z**3 + 1. Calculate t(-1).
-130
Let n(i) = -16*i**2 - 6*i - 9. What is n(-5)?
-379
Let a(p) = -7*p**2 + 21*p + 45. Calculate a(-3).
-81
Let i(w) = 282*w + 2997. Determine i(-11).
-105
Let p(k) = -4*k**2 + 1088*k + 6579. Determine p(-6).
-93
Let s(n) = 63*n - 4602. What is s(73)?
-3
Let l(i) = -i**3 - 29*i**2 - 58*i - 141. What is l(-27)?
-33
Let n(a) = -2*a**3 + 70*a**2 - 367*a + 119. Give n(6).
5
Let a(s) = 2*s**3 + 13*s**2 - 18*s + 12. Calculate a(-8).
-36
Let d(j) = j**2 + 125*j - 3. Give d(0).
-3
Let x(g) = -91*g - 449. Determine x(-5).
6
Let c(k) = -7*k**2 - 7*k - 6. What is c(-1)?
-6
Let g(l) = -l**3 - 38*l**2 - 29*l + 274. Calculate g(-37).
-22
Let i(t) = 7*t**2 - 133*t + 416. Calculate i(15).
-4
Let t(k) = -93*k + 279. What is t(4)?
-93
Let q(h) = -3*h**2 + 118*h - 1149. Calculate q(21).
6
Let y(x) = -16*x + 302. Give y(19).
-2
Let w(h) = -15*h + 353. What is w(24)?
-7
Let y(g) = -93*g + 456. Give y(5).
-9
Let t(o) = 229*o - 5734. Give t(25).
-9
Let p(l) = -3*l**3 - 40*l**2 - 91*l - 979. Determine p(-13).
35
Let s(k) = k**2 - 16*k - 74. Determine s(21).
31
Let a(m) = 2711*m + 13559. Give a(-5).
4
Let h(w) = 2*w**3 + 144*w**2 - 145*w + 110. What is h(-73)?
37
Let m(y) = -3*y**2 - 8*y + 554. Give m(-15).
-1
Let y(t) = 136*t**3 - 3*t**2 + 4*t + 8. What is y(-1)?
-135
Let s(i) = -i**2 + 6*i - 5. Calculate s(5).
0
Let i(r) = -7*r + 1245. Calculate i(179).
-8
Let a(k) = k**2 + 31*k + 242. Determine a(-14).
4
Let d(f) = 3*f**3 + 75*f**2 + 2*f + 47. Give d(-25).
-3
Let k(i) = -14*i + 364. Calculate k(7).
266
Let u(n) = n**3 - 8*n**2 - 13*n - 51. Determine u(10).
19
Let f(w) = w**2 - 1159*w - 14055. Give f(-12).
-3
Let b(r) = 106*r**3 - r**2 + 11*r - 18. Give b(2).
848
Let z(u) = 130*u - 1419. Calculate z(11).
11
Let y(g) = 1410*g - 35244. Give y(25).
6
Let k(u) = -u**3 - 122*u**2 + 124*u + 43. Give k(-123).
-80
Let d(m) = -4367*m - 8746. What is d(-2)?
-12
Let w(c) = 127*c + 236. Calculate w(3).
617
Let h(c) = -c**3 + 18*c**2 - 82*c + 19. What is h(7)?
-16
Let p(k) = k**2 + 122*k + 358. Give p(-3).
1
Let l(n) = -n**3 - 27*n**2 - 647*n - 16142. Give l(-26).
4
Let k(o) = -2*o**3 - 110*o**2 + 1158*o - 54. Determine k(9).
0
Let z(a) = 2*a**2 + 25*a - 214. Determine z(-18).
-16
Let f(b) = 2*b**2 - 9*b - 135. Determine f(9).
-54
Let f(i) = -6*i**2 + 117*i + 1024. Give f(-7).
-89
Let n(f) = -f**3 - 27*f**2 + 155*f - 1416. What is n(-33)?
3
Let h(o) = -181*o + 5646. Determine h(31).
35
Let i(h) = 5*h**2 + 227*h + 76. Give i(-45).
-14
Let y(w) = -94*w**2 - 5924*w - 130. Calculate y(-63).
-4
Let o(y) = y**3 - 56*y**2 - 977*y - 209. Give o(70).
1
Let u(n) = -n**2 + 130*n - 389. What is u(3)?
-8
Let k(d) = d**3 - 7*d**2 - 158*d + 8. Give k(-10).
-112
Let a(l) = 6*l + 83. Calculate a(-19).
-31
Let v(o) = -2*o**3 - 67*o**2 + 289*o + 25. Calculate v(4).
-19
Let m(w) = -445*w - 21804. Give m(-49).
1
Let n(m) = -m**3 + 51*m**2 - 383*m + 1680. What is n(43)?
3
Let v(m) = m**2 - 69*m + 1038. What is v(26)?
-80
Let n(p) = p**3 - 5*p**2 + 59*p - 389. Determine n(6).
1
Let j(n) = 27*n**2 + 3134*n + 251. Give j(-116).
19
Let c(u) = 101*u - 80. What is c(1)?
21
Let b(k) = -2*k**2 - 117*k - 641. What is b(-52)?
35
Let t(b) = b**2 + 25*b - 1823. Calculate t(32).
1
Let d(l) = 5049*l - 35345. Give d(7).
-2
Let s(c) = 212*c - 50. Give s(1).
162
Let x(u) = 6*u**2 - 13*u - 127. Give x(5).
-42
Let v(r) = 1434*r - 4233. What is v(3)?
69
Let s(r) = 4*r**2 - 472*r - 5089. What is s(128)?
31
Let z(j) = 27*j**3 + 14*j**2 + 20*j + 6. What is z(-1)?
-27
Let r(x) = x**3 - 21*x**2 - 50*x + 621. Calculate r(22).
5
Let i(z) = -z**2 + 35*z - 15. Calculate i(37).
-89
Let r(j) = j**3 + 24*j**2 + 42*j - 32. Give r(-22).
12
Let h(k) = -k**3 - 46*k**2 - 50*k - 228. Give h(-45).
-3
Let j(a) = -6427*a + 51413. Determine j(8).
-3
Let k(h) = -h**3 - 22*h**2 + 19*h - 132. What is k(-23)?
-40
Let k(g) = -43*g - 329. Determine k(-8).
15
Let c(f) = -f**3 - 152*f**2 - 5777*f - 152. Calculate c(-77).
2
Let y(m) = 229*m - 1671. Calculate y(8).
161
Let x(z) = -3*z**3 + 7*z**2 - 10*z + 13. Give x(2).
-3
Let t(a) = -a**2 + 58*a - 115. Calculate t(53).
150
Let t(p) = -2433*p + 29313. Determine t(12).
117
Let s(r) = -207*r - 500. Give s(-2).
-86
Let d(u) = -2*u**2 + 116*u - 347. Calculate d(55).
-17
Let z(p) = 56*p - 394. What is z(16)?
502
Let t(r) = 3*r**3 + 168*r**2 - 899*r - 74. What is t(5)?
6
Let z(h) = h**3 - 8*h**2 - 41*h + 280. What is z(5)?
0
Let o(v) = -v**3 + 12*v**2 + 32*v + 4. Calculate o(-5).
269
Let m(j) = j**3 - 4*j**2 - 6*j - 23. Determine m(7).
82
Let c(r) = -r**3 - 36*r**2 + 75*r - 39. Give c(-38).
-1
Let u(x) = 2*x**3 + 473*x**2 - 225*x + 2926. Give u(-237).
82
Let u(z) = 2*z**2 - 54*z + 198. Calculate u(22).
-22
Let d(u) = -44*u - 3933. Give d(-89).
-17
Let n(l) = 11*l**2 + 334*l + 128. Give n(-30).
8
Let p(a) = 8*a**2 + 8*a - 7. Give p(-6).
233
Let s(i) = -46*i**3 + 691*i**2 - 15*i + 25. Calculate s(15).
25
Let p(a) = a**3 + 82*a**2 - 245*a + 853. Calculate p(-85).
3
Let i(d) = d**2 - 96*d + 7. What is i(96)?
7
Let p(h) = 54*h**2 - 20*h - 20. What is p(-1)?
54
Let f(c) = -c**3 + 467*c**2 + 1886*c + 7. What is f(-4)?
-1
Let y(l) = l**3 + 13*l**2 - 181*l - 1107. Give y(-5).
-2
Let f(p) = -12*p**2 - 18*p - 24. Calculate f(-1).
-18
Let z(f) = 2*f**2 + 201*f + 2976. Determine z(-18).
6
Let h(l) = -l**2 - 97*l - 705. Give h(-8).
7
Let a(f) = f**3 - 11*f**2 + 26*f - 31. Calculate a(7).
-45
Let u(r) = -21*r**2 - 132*r - 212. Calculate u(-3).
-5
Let u(r) = -r**3 - 25*r**2 + 80*r + 9. Calculate u(-28).
121
Let n(g) = -319*g**2 + 2554*g - 25. Give n(8).
-9
Let o(y) = -4*y**3 + 823*y**2 - 1432*y + 803. Determine o(204).
-13
Let v(j) = j**2 - 3*j - 11. Calculate v(-2).
-1
Let k(j) = -2*j**3 - 28*j**2 - 64*j - 1073. What is k(-14)?
-177
Let m(r) = r**3 - 35*r**2 - 114*r + 20. What is m(38)?
20
Let y(q) = -870*q + 12167. What is y(14)?
-13
Let l(c) = 509*c - 6610. Give l(13).
7
Let r(y) = y**3 + 11*y**2 - 41*y + 17. Determine r(-14).
3
Let q(x) = -76*x - 114. What is q(-2)?
38
Let s(k) = 67*k - 7488. What is s(112)?
16
Let k(i) = 203*i + 2845. What is k(-12)?
409
Let t(l) = 9*l - 399. Calculate t(0).
-399
Let s(v) = 13*v**2 - 189*v - 188. Calculate s(-1).
14
Let y(c) = 1758*c - 14102. Calculate y(8).
-38
Let g(n) = 12*n**2 + 33*n + 69. Give g(-2).
51
Let c(h) = 13*h + 194. Determine c(-14).
12
Let r(l) = -794*l + 25402. What is r(32)?
-6
Let o(z) = 2*z**3 + 21*z**2 + 8*z + 35. Give o(-10).
55
Let c(f) = -2*f**3 - 2*f**2 - 245*f - 8. Determine c(0).
-8
Let r(w) = 16*w**2 + 146*w + 15. What is r(-9)?
-3
Let m(d) = 5*d**2 - 768*d - 1151. Calculate m(155).
-66
Let r(k) = k**3 - 65*k**2 - 55*k + 3569. Calculate r(65).
-6
Let i(s) = 3*s**2 - 29*s + 201. Determine i(22).
1015
Let p(a) = -1460*a + 18953. Calculate p(13).
-27
Let r(y) = 4*y**3 + 328*y**2 + 322*y - 151. Give r(-81).
11
Let l(v) = -3*v**2 + 1554*v + 9404. Calculate l(-6).
-28
Let l(z) = 103*z + 3201. Give l(-31).
8
Let y(v) = v**3 - 125*v**2 - 248*v - 753. Give y(127).
9
Let z(d) = d**2 + 18*d - 2039. Determine z(37).
-4
Let y(p) = p**2 + 366*p + 7984. Calculate y(-23).
95
Let o(k) = -234*k - 8. Determine o(0).
-8
Let y(k) = -k**3 - 7*k**2 + 8*k - 97. Determine y(-9).
-7
Let p(s) = s**3 - 21*s**2 - 81*s - 64. Calculate p(24).
-280
Let o(q) = -9*q**2 - 13*q + 23. Give o(-3).
-19
Let s(j) = 12*j**3 - j**2 + j - 24. What is s(3)?
294
Let g(p) = 8*p**2 - 98*p + 23. Give g(11).
-87
Let p(j) = -2*j**2 + 71*j - 378. Calculate p(27).
81
Let i(v) = 1602*v - 12831. What is i(8)?
-15
Let f(l) = 21*l - 1287. Give f(60).
-27
Let t(g) = g**3 - 10*g**2 - 102*g
|
{
"pile_set_name": "DM Mathematics"
}
|
*k - 90*w - 53 wrt k?
84*k*w - 496880*w**2
Find the second derivative of 38197129*j**3*s**2 + 142914*j**3 - 3*j**2*s + 2*s wrt s.
76394258*j**3
What is the second derivative of 47367893*s**3 - 601862*s - 1 wrt s?
284207358*s
What is the first derivative of -824217093*b - 260682264 wrt b?
-824217093
Find the second derivative of -p**3 - 12174484*p**2*x**2 - 69664324*p - x**2 wrt p.
-6*p - 24348968*x**2
Differentiate -352*p**3 - 275*p**2 + 455*p + 341942609.
-1056*p**2 - 550*p + 455
Find the second derivative of -11951368*r**4 - 1655419*r wrt r.
-143416416*r**2
Find the third derivative of -355992*u**4*x**3 - 51*u**3 + 66*u**2*x**2 + 98*u**2 - 2*u*x**2 + 13*u + 11*x**3 wrt u.
-8543808*u*x**3 - 306
Find the second derivative of -2*b*u**2 + 8030324*b + 356*u**3 + 14556*u**2 - 3*u wrt u.
-4*b + 2136*u + 29112
What is the third derivative of -4047*y**4 - 492*y**3 + 12236164*y**2 wrt y?
-97128*y - 2952
Find the second derivative of -2620944*j**4 + 20*j - 559336 wrt j.
-31451328*j**2
What is the second derivative of -102120*g**2*v**2 + 1137*g**2*v + 3*g**2 + 35735*g*v**2 + 1966*g*v wrt g?
-204240*v**2 + 2274*v + 6
Differentiate 2*z**4 - 3*z**3 - 52558*z**2 - 2*z + 134940154.
8*z**3 - 9*z**2 - 105116*z - 2
Find the third derivative of 44*a*f**2*q**3 + 3*a*f - 222749*a*q**3 + 5*a*q**2 + 2*f**2*q**2 + 6*f**2 - 6*f*q - 392*f + 2*q**2 wrt q.
264*a*f**2 - 1336494*a
What is the second derivative of -5*b**3*n**2 + 8*b**3*n + 186*b**3 - 2*b**2*n + 3*b**2 - 949*b*n**3 - 186*n**2 - 19*n wrt n?
-10*b**3 - 5694*b*n - 372
What is the third derivative of 2898721*i**3 - 110217*i**2 + 8*i?
17392326
What is the second derivative of 71204*h**2*z**2 - 4*h**2 - 9*h*z**2 - 18*h*z + z**2 - 1445 wrt h?
142408*z**2 - 8
Find the first derivative of -4116497*o**2 - 10713904 wrt o.
-8232994*o
Find the second derivative of -80843*x**4 + 1119*x**3 + 145185755*x.
-970116*x**2 + 6714*x
Find the second derivative of -2*g**5 - 10397175*g**2 + 87405688*g wrt g.
-40*g**3 - 20794350
What is the derivative of 194863296*l**3 - 229932133?
584589888*l**2
What is the third derivative of 241*y**4 - 1805*y**3 - 189705*y**2 - 2*y - 11?
5784*y - 10830
What is the third derivative of -32524*o**3*x**3 + 6438*o**3 - 2505*o*x**3*y**2 + 21*x**2 - 13*y**2 wrt x?
-195144*o**3 - 15030*o*y**2
Find the third derivative of 5988594*j**4 + 4835*j**2 + 187 wrt j.
143726256*j
What is the third derivative of 185213*a**2*f**3*k + 5*a**2*k**2 - 1018*a*f*k**3 + 31*f**3*k**3 - 2529*f**2*k**2 wrt f?
1111278*a**2*k + 186*k**3
Find the second derivative of 941100456*l**4 + 881778105*l.
11293205472*l**2
Find the first derivative of -6689832*x**3*z + 5815866*x**3 wrt z.
-6689832*x**3
Find the second derivative of 3*b*f**2*i - 56*b*f**2 - 20*b*f - 322*b*i + 16446*f**2*i + 823*f wrt f.
6*b*i - 112*b + 32892*i
Find the first derivative of -11446461*t - 56816461 wrt t.
-11446461
Find the third derivative of 6912*a*f**3*t + 18*a*f**3 + 6478*a*f**2 + 490*a*f*t - a*t - 17*f**3*t - 2*f**3 wrt f.
41472*a*t + 108*a - 102*t - 12
Find the third derivative of 403*v**4 + 2048*v**3 - 12*v**2 + 1281*v + 1622.
9672*v + 12288
What is the second derivative of 36386425*r**2 + 8057*r - 1675 wrt r?
72772850
What is the second derivative of 398220*o**3 + 9*o**2 + 16865*o - 41?
2389320*o + 18
What is the first derivative of -879*g**3*u + 2*g**3 + 13*g**2*u + 771*g**2 - 80*g*u - 26*g - 167 wrt u?
-879*g**3 + 13*g**2 - 80*g
Find the first derivative of 1034952718*l**4 + 189448935.
4139810872*l**3
What is the second derivative of -18*b**5 + 101814*b**3 - 25*b**2 - 911658780*b wrt b?
-360*b**3 + 610884*b - 50
What is the third derivative of s**5 - s**4 - 162699472*s**3 - s**2 - 8207012?
60*s**2 - 24*s - 976196832
Find the third derivative of 5189732*q**4*s**3 - 32*q**3*s**2 - 118*q**2*s**2 + 2333*q*s**3 - 56*s wrt q.
124553568*q*s**3 - 192*s**2
What is the third derivative of 1074500*g**5 + 4*g**3 + 12097355*g**2 wrt g?
64470000*g**2 + 24
What is the first derivative of 179679*u*v**4 + 2*u*v**2 - 1430341*u + 3*v**2 wrt v?
718716*u*v**3 + 4*u*v + 6*v
Find the second derivative of o*q**3 - 16655*o*q + 1246*o - 12085230*q**3 + 2*q**2 wrt q.
6*o*q - 72511380*q + 4
What is the first derivative of 7928206*w**4 + 8354086 wrt w?
31712824*w**3
Find the second derivative of -463*p**4 + 6*p**3 + 161*p**2 - 4082932*p.
-5556*p**2 + 36*p + 322
Find the second derivative of -26601*p**5 - 152*p**2*z**2 - p*z**2 - 10*p*z + 37*z**2 - 33*z - 1 wrt p.
-532020*p**3 - 304*z**2
Find the third derivative of 95575*d**2*f*g**3 - 2*d**2*f*g**2 - 5*d**2*f - 3*d**2*g**2 - 5*d*f*g**3 + 4*d*f*g**2 - 117*d - 30*f*g**3 - 8*f*g**2 wrt g.
573450*d**2*f - 30*d*f - 180*f
Find the third derivative of -2*s**3*t - 87670292*s**3 + 159*s**2*t + 54*s*t + 42*t + 39 wrt s.
-12*t - 526021752
What is the second derivative of -2072175*u**3*z**2 - 2*u**3*z + 3*u**2*z**2 + 56169*u**2*z - u*z - 1 wrt z?
-4144350*u**3 + 6*u**2
What is the second derivative of -90*n**4 + 25052*n**3 - 16*n**2 - 404626267*n?
-1080*n**2 + 150312*n - 32
Differentiate 28*k**2*m**3 + k**2*w**2 + 15946*k**2 + m**3*w**2 + 3*m**3 + 2*m**2*w**2 - 75547*m + 4*w**2 wrt k.
56*k*m**3 + 2*k*w**2 + 31892*k
Find the second derivative of y**3 - 339167132*y**2 - 483298513*y wrt y.
6*y - 678334264
Find the third derivative of -4*p**2*r**4 - 1531*p**2*r**3 - 1758*p**2*r**2 + p**2*r - 2*p*r**2 - 3677*r**3 + 10116 wrt r.
-96*p**2*r - 9186*p**2 - 22062
Find the third derivative of 1129948*x**6 - 1503802*x**2 - 4 wrt x.
135593760*x**3
What is the first derivative of 2*h**4 - 2510*h**3 - 334*h**2 - 27030328?
8*h**3 - 7530*h**2 - 668*h
What is the derivative of 8031183*f**2*g**2 - 38719497*f**2 + 2*g**3 wrt g?
16062366*f**2*g + 6*g**2
Find the second derivative of -83845101*k**5*n**2 - 231*k*n**2 + 3*k*n + 16*k - 53*n + 2 wrt k.
-1676902020*k**3*n**2
Find the second derivative of 148863731*r**4 - 404369240*r wrt r.
1786364772*r**2
What is the third derivative of 1505582*b**5 - 105*b**3 + 38*b**2 - 44055 wrt b?
90334920*b**2 - 630
Find the first derivative of -28*m**2*r + 10012294*m**2 + 42491*m*r + 6*r wrt r.
-28*m**2 + 42491*m + 6
What is the first derivative of 5318*d**2*p**3 - 6567*d**2*p**2 - 173620*d**2 - 602*d wrt p?
15954*d**2*p**2 - 13134*d**2*p
What is the third derivative of -7113890*d**3*k + 45*d**2 + 18*d*k + 5*k + 19 wrt d?
-42683340*k
What is the third derivative of -9912679*j**4 - 45*j**2 - 215*j + 154?
-237904296*j
Differentiate -58*f**2*q + 700*f*q**2 + 40*f*q + 2*q**2 - 69992613 with respect to f.
-116*f*q + 700*q**2 + 40*q
Find the third derivative of -l**4*z - 111*l**3*z + 21549*l**3 + 45*l**2 - 46*l + 6*z - 91 wrt l.
-24*l*z - 666*z + 129294
Find the third derivative of 3*g*q*u + 466*g*q - 149*g*u**3 + g*u - 11304*q*u**3 + 13*q*u**2 - 19*q + u**2 wrt u.
-894*g - 67824*q
What is the derivative of 23*j**3 + 10125963*j**2 - j - 776851797 wrt j?
69*j**2 + 20251926*j - 1
What is the derivative of -5624782*j**2 + 75*j + 288744326?
-11249564*j + 75
Find the third derivative of -493157696*i**3 + 274718323*i**2 wrt i.
-2958946176
Differentiate 49*f*o**3 - 126*f*o**2 + 155*f - o**3 - 2*o**2 - 26420*o - 1 with respect to f.
49*o**3 - 126*o**2 + 155
What is the derivative of -18108295*v**2 - 6824864 wrt v?
-36216590*v
Differentiate 20*i**2*l*w - 394*i**2*w**2 + 11*i**2*w + i**2 - 2789*i*l*w**2 + 9*i*w - 2*l**2 + 4*w wrt l.
20*i**2*w - 2789*i*w**2 - 4*l
Find the third derivative of -8781775*q**3*s + 9*q**2 + q*s + 52225 wrt q.
-52690650*s
Differentiate 5385*u**4 + 1481*u**2 + 9476951 with respect to u.
21540*u**3 + 2962*u
Differentiate 1956392*a*h*p - 2*a*h - 21*a*p + 334*a + 94*h*p - 2133*p + 2 wrt h.
1956392*a*p - 2*a + 94*p
What is the second derivative of 233132*c**3*z**3 - 2*c**3*z - 6*c*z**3 + 1111565*c*z wrt z?
1398792*c**3*z - 36*c*z
Differentiate -62100861*j**4*l*w + 2*j**2*w + 24090*l*w - l + 426*w with respect to j.
-248403444*j**3*l*w + 4*j*w
Find the first derivative of o**3 + 74*o**2 - 64626*o - 29509095 wrt o.
3*o**2 + 148*o - 64626
Find the second derivative of 112066369*w**2 + 260*w + 58497 wrt w.
224132738
Differentiate 20*h**2*o**2 + 1249*h**2 - 71*h*o**2 - 775*h - 56*o**2 wrt o.
40*h**2*o - 142*h*o - 112*o
What is the second derivative of -30494005*j**2 - 193139*j + 48 wrt j?
-60988010
Find the second derivativ
|
{
"pile_set_name": "DM Mathematics"
}
|
in base 7?
-316
Convert -8 (base 15) to base 2.
-1000
Convert -2 (base 12) to base 13.
-2
What is -4 (base 10) in base 2?
-100
Convert 1 (base 13) to base 2.
1
What is -8 (base 11) in base 9?
-8
Convert 1010100 (base 2) to base 3.
10010
What is -152 (base 11) in base 2?
-10110010
-7 (base 16) to base 11
-7
Convert 23 (base 4) to base 10.
11
What is -6 (base 11) in base 3?
-20
-102 (base 6) to base 7
-53
-c (base 13) to base 16
-c
What is 19a (base 13) in base 3?
101222
What is 2 (base 12) in base 15?
2
What is 0 (base 13) in base 7?
0
What is 32 (base 11) in base 12?
2b
What is 5b (base 12) in base 6?
155
What is 2 (base 8) in base 2?
10
Convert -4c (base 15) to base 10.
-72
Convert 40 (base 5) to base 4.
110
-2 (base 5) to base 6
-2
-1121 (base 4) to base 3
-10022
-312 (base 4) to base 3
-2000
16 (base 12) to base 8
22
Convert 12 (base 3) to base 12.
5
-6 (base 10) to base 4
-12
11 (base 2) to base 5
3
What is -11 (base 12) in base 8?
-15
What is -28 (base 10) in base 8?
-34
-32 (base 7) to base 12
-1b
-101 (base 4) to base 10
-17
1 (base 3) to base 10
1
-4 (base 13) to base 16
-4
What is 268 (base 12) in base 10?
368
What is 1a (base 12) in base 6?
34
What is 8 (base 16) in base 8?
10
What is 0 (base 6) in base 5?
0
What is 135 (base 6) in base 12?
4b
What is 2 (base 5) in base 13?
2
What is 1 (base 8) in base 15?
1
Convert 2 (base 15) to base 6.
2
What is 2 (base 8) in base 5?
2
Convert -27 (base 8) to base 13.
-1a
What is 2111 (base 3) in base 5?
232
Convert -53 (base 6) to base 13.
-27
What is -20 (base 8) in base 11?
-15
-20 (base 12) to base 2
-11000
93 (base 10) to base 3
10110
0 (base 16) to base 7
0
What is -b (base 14) in base 2?
-1011
Convert 2 (base 8) to base 14.
2
Convert -2 (base 8) to base 10.
-2
Convert 100122 (base 3) to base 10.
260
Convert -59 (base 12) to base 16.
-45
11 (base 15) to base 12
14
11 (base 2) to base 3
10
1 (base 7) to base 2
1
Convert 3 (base 13) to base 5.
3
3 (base 11) to base 4
3
7 (base 13) to base 6
11
a (base 12) to base 9
11
3 (base 14) to base 13
3
111 (base 3) to base 12
11
What is 1 (base 14) in base 8?
1
62 (base 8) to base 10
50
5 (base 11) to base 9
5
76 (base 12) to base 5
330
Convert -121 (base 3) to base 8.
-20
156 (base 9) to base 3
11220
What is -4 (base 13) in base 6?
-4
What is -10 (base 2) in base 15?
-2
Convert 302 (base 5) to base 2.
1001101
Convert 101 (base 2) to base 9.
5
Convert -2 (base 5) to base 6.
-2
What is 2 (base 8) in base 6?
2
7 (base 15) to base 6
11
-19 (base 11) to base 14
-16
Convert 1 (base 13) to base 3.
1
What is 11 (base 9) in base 7?
13
Convert -132 (base 4) to base 15.
-20
What is -1120 (base 4) in base 2?
-1011000
Convert -12 (base 9) to base 15.
-b
What is 30 (base 13) in base 11?
36
13 (base 10) to base 8
15
-2 (base 3) to base 14
-2
What is 1 (base 2) in base 3?
1
-3 (base 7) to base 4
-3
Convert 3 (base 14) to base 3.
10
Convert 130 (base 11) to base 9.
181
-11011011 (base 2) to base 16
-db
Convert 125 (base 9) to base 10.
104
Convert 2 (base 14) to base 7.
2
-113 (base 5) to base 15
-23
What is 3 (base 16) in base 4?
3
What is -3 (base 15) in base 7?
-3
4 (base 14) to base 10
4
-4 (base 15) to base 7
-4
-100 (base 2) to base 12
-4
27 (base 9) to base 8
31
-201 (base 4) to base 11
-30
What is -2121 (base 3) in base 11?
-64
Convert -10 (base 3) to base 15.
-3
What is -54 (base 7) in base 8?
-47
Convert 13 (base 7) to base 3.
101
Convert -20 (base 4) to base 8.
-10
What is -34 (base 13) in base 8?
-53
What is -1 (base 16) in base 2?
-1
-1 (base 12) to base 7
-1
What is 61 (base 8) in base 5?
144
-10 (base 4) to base 7
-4
Convert -1 (base 3) to base 5.
-1
Convert 42 (base 7) to base 10.
30
44 (base 11) to base 7
66
What is -1111000 (base 2) in base 4?
-1320
Convert -17 (base 15) to base 11.
-20
-73 (base 9) to base 14
-4a
What is 4b (base 16) in base 4?
1023
What is 100 (base 4) in base 7?
22
What is a (base 16) in base 7?
13
48 (base 13) to base 10
60
Convert 4 (base 8) to base 4.
10
Convert -23 (base 7) to base 6.
-25
What is 263 (base 10) in base 7?
524
654 (base 8) to base 15
1d8
Convert -2 (base 10) to base 2.
-10
Convert -5 (base 11) to base 2.
-101
-3 (base 16) to base 2
-11
4 (base 7) to base 6
4
What is b (base 13) in base 15?
b
Convert 0 (base 15) to base 2.
0
Convert -23 (base 9) to base 16.
-15
Convert -3 (base 4) to base 14.
-3
Convert 5 (base 8) to base 16.
5
Convert 12 (base 4) to base 12.
6
4 (base 15) to base 3
11
-43 (base 15) to base 6
-143
11 (base 3) to base 12
4
Convert 13 (base 11) to base 4.
32
Convert a (base 11) to base 6.
14
What is -8 (base 14) in base 13?
-8
Convert -19 (base 16) to base 10.
-25
What is 28 (base 10) in base 8?
34
27 (base 14) to base 9
38
Convert 4 (base 15) to base 12.
4
Convert 1 (base 10) to base 9.
1
-2 (base 16) to base 3
-2
Convert 10 (base 2) to base 4.
2
What is 10 (base 4) in base 5?
4
Convert -1 (base 2) to base 13.
-1
Convert -5 (base 16) to base 13.
-5
What is -3 (base 9) in base 15?
-3
What is -342 (base 6) in base 5?
-1014
Convert 122 (base 3) to base 10.
17
What is -1110 (base 5) in base 3?
-12202
8 (base 11) to base 6
12
What is -2 (base 11) in base 10?
-2
77 (base 9) to base 7
130
36 (base 9) to base 7
45
b (base 13) to base 16
b
Convert 22 (base 8) to base 9.
20
-100100 (base 2) to base 11
-33
Convert 0 (base 13) to base 9.
0
Convert -1 (base 2) to base 12.
-1
What is -120 (base 6) in base 12?
-40
What is -140 (base 11) in base 12?
-119
What is 55 (base 7) in base 5?
130
Convert -21 (base 8) to base 16.
-11
Convert 141 (base 8) to base 14.
6d
What is 27 (base 15) in base 13?
2b
Convert -18 (base 9) to base 10.
-17
-4 (base 10) to base 6
-4
What is 114 (base 16) in base 4?
10110
17 (base 14) to base 7
30
213 (base 4) to base 3
1110
10a (base 14) to base 6
542
What is 21 (base 3) in base 2?
111
What is -6 (base 10) in base 9?
-6
What is 100 (base 3) in base 6?
13
-7 (base 14) to base 2
-111
1 (base 15) to base 13
1
What is -13 (base 5) in base 10?
-8
Convert -110 (base 2) to base 11.
-6
Convert 31 (base 7) to base 13.
19
Convert 2021 (base 5) to base 15.
126
2210 (base 3) to base 4
1023
What is -2 (base 15) in base 13?
-2
What is -27 (base 14) in base 10?
-35
Convert 22 (base 5) to base 2.
1100
What is -142 (base 12) in base 16?
-c2
What is -150 (base 8) in base 4?
-1220
20 (base 6) to base 10
12
3b (base 16) to base 8
73
83 (base 12) to base 13
78
Convert 8 (base 10) to base 16.
8
-5c (base 15) to base 2
-1010111
140 (base 11) to base 3
20010
Convert fc (base 16) to base 12.
190
4 (base 9) to base 3
11
-202 (base 3) to base 10
-20
Convert -1a (base 16) to base 8.
-32
-100 (base 2) to base 5
-4
What is -100 (base 2) in base 7?
-4
What is 10 (base 4) in base 5?
4
1 (base 10) to base 13
1
Convert -9 (base 14) to base 7.
-12
-3 (base 7) to base 12
-3
-45 (base 16) to base 12
-59
Convert 131 (base 4) to base 13.
23
What is -1 (base 6) in base 9?
-1
Convert -222 (base 4) to base 10.
-42
What is -4 (base 13) in base 11?
-4
What is 2a (base 11) in base 9?
35
102 (base 16) to base 11
215
-1 (base 11) to base 2
-1
Convert -23 (base 4) to base 8.
-13
What is 7 (base 10) in base 5?
12
Convert 82 (base 9) to base 11.
68
-152 (base 7) to base 4
-1112
Convert 101010 (base 3) to base 11.
229
What is 10 (base 15) in base 5?
30
Convert -112 (base 8) to base 6.
-202
27 (base 14) to base 3
1022
What is 61 (base 9) in base 7?
106
What is -10020 (base 3) in base 6?
-223
What is 22110 (base 3) in base 12?
170
Convert 28 (base 10) to base 5.
103
20 (base 14) to base 7
40
What is 2 (base 7) in base 13?
2
-69 (base 12) to base 13
-63
Convert 12 (base 5) to base 2.
111
Convert 22 (base 14) to base 15.
20
What is -111 (base 8) in base 15?
-4d
101011 (base 2) to base 8
53
What is -76 (base 9) in base 13?
-54
What is 100000 (base 2) in base 15?
22
-131 (base 6) to base 12
-47
What is -1315 (base 6) in base 16?
-14f
Convert 43 (base 10) to base 11.
3a
What is -12001 (base 4) in base 5?
-3020
2 (base 16) to base 4
2
What is 28 (base 13) in base 2?
100010
What is 22 (base 4) in base 10?
10
-15 (base 9) to base 6
-22
0 (base 2) to base 5
0
Convert -1110100 (base 2) to base 12.
-98
111 (base 2) to base 11
7
-2 (base 14) to base 7
-2
What is -2 (base 5) in base 8?
-2
Convert -5 (base 9) to base 7.
-5
What is -40 (base 5) in base
|
{
"pile_set_name": "DM Mathematics"
}
|
+ v**2 - 23*v + 10 + 2. Calculate u(28).
1
Let z = 1401 - 1403. Let g(u) = -4*u**2 + 3*u + 1. Calculate g(z).
-21
Let l(u) be the first derivative of -4*u**3/3 + 2*u**2 + 10*u + 1588. Determine l(-3).
-38
Suppose 0 = 3*l - z + 9, z - 28 = 4*l + 5*z. Let g(q) = -2*q - 4. Suppose -12 = 4*p - 0. Let x(r) = -10*r - 20. Let k(m) = p*x(m) + 16*g(m). Determine k(l).
4
Let y = -15 + 8. Let g(p) = -p**3 + 6*p**2 - 6*p + 11. Let v = 16 + -22. Let k(h) = h**3 - 6*h**2 + 5*h - 10. Let j(s) = v*g(s) + y*k(s). Calculate j(6).
10
Let m(r) = -9*r**2 + 31*r + 3. Let l(q) = -11*q**2 + 39*q + 3. Let b(a) = 5*l(a) - 6*m(a). What is b(9)?
-3
Let t(g) = -g**2 + 9*g - 2. Let k be 300/135 + 6/(-27). Suppose -m - 4*r - 4 = 0, -2*m + k = -m + 2*r. Calculate t(m).
6
Let j(t) be the second derivative of -3*t**3/2 + 15*t**2/2 - 49*t + 1. What is j(2)?
-3
Let g(n) be the second derivative of n**3/6 - 2*n**2 + 1268*n. Let u be 1/(2/20) - 1. Calculate g(u).
5
Let j(n) = -n**3 + 7*n**2 + 5. Let p = 156 + -153. Suppose -4*g + 12 = -4*u, 0 = 2*g + p*u - 29 + 3. Calculate j(g).
5
Suppose -5*j = -2*p + 40, -3*j - 7 = -6*j - 5*p. Suppose -4*w + 2*y = y - 29, -4*w - 4*y + 4 = 0. Let t(r) = 3*r - 27*r + w*r + 10*r + 7*r - 1. Determine t(j).
5
Let v(l) = -7 + 5*l**3 + l**3 - 5*l**3 - 2*l**3 + 86*l**2 - 66*l**2. Calculate v(20).
-7
Suppose -2*s - 40 = 4*q, -q + 3*s = -2*q - 20. Let b = q - -10. Let x(c) = c**3 - 4*c**2 + 8 - 17 + 6*c**2 + b*c + 12. Determine x(-2).
-1
Suppose 6*u = 13*u - 35. Suppose -u*s = -12*s. Let n(h) = h**2 - 3*h - 6. Let x be n(s). Let j(v) = v**2 + 6*v + 2. Calculate j(x).
2
Let r be (-2)/(-5) - 12/5. Let y(p) = -34*p - 28. Let m(x) = 56*x + 47. Let s(c) = 3*m(c) + 5*y(c). Determine s(r).
5
Let a(p) = 42*p**2 + 17*p + 20. Let g(z) = -262*z**2 - 103*z - 121. Let q(t) = -25*a(t) - 4*g(t). Give q(-5).
-1
Let u(c) = -4*c + 1. Let i(q) = -3*q + 49. Let s(a) = i(a) - 3*u(a). What is s(-7)?
-17
Let v(u) = 27 - 11 + u**2 - 449*u - 2*u**2 + 449*u. Calculate v(0).
16
Let s(h) be the first derivative of -6*h**2 - 1780. Determine s(-4).
48
Let g(k) = -63263 + k**3 - k - 63252 + 0*k + 0*k**3 + 126523 - 13*k**2. Give g(13).
-5
Let n(q) be the first derivative of 2*q**2 + 26*q + 12796. Calculate n(-6).
2
Let b(r) = -r**2 + 11*r + 7. Let p(f) = -f**2 + 68*f - 472. Let i be p(60). What is b(i)?
31
Let h(b) be the first derivative of b**4/2 - 17*b**3 - 12*b**2 - 42*b + 149. Let o be h(26). Let t(d) = -d**3 + 9*d**2 + 12*d - 14. Calculate t(o).
6
Suppose 45*p + 481 = 256. Let r(x) = -x**3 - 6*x**2 - 12*x. Determine r(p).
35
Let j = -445 + 446. Let d(q) = q**2 + 15*q - 13. Let w be d(j). Let b(y) be the first derivative of y**3/3 - 2*y**2 + 2*y + 1. Give b(w).
-1
Let h(f) = 7*f**3 - 2*f**2 - 17*f + 3. Let o(n) = -4*n**3 + 9*n - 2. Let g be (-7)/315*-171 - (-6)/5. Let i(d) = g*o(d) + 3*h(d). What is i(7)?
6
Let y(h) = h**3 + 4*h**2 - 2*h - 3. Let m(d) = 2*d**3 - 4*d**2 - 8*d + 25. Let p be m(6). Let u = p - 268. What is y(u)?
12
Let y(p) be the second derivative of -p**3/6 - p**2 - 10*p. Let s(g) = 8*g + 14. Let w be s(-2). Determine y(w).
0
Suppose 0 = 99*x - 418*x + 3509. Let y(f) = 2*f**2 - 17*f - 43. Calculate y(x).
12
Let t be 6/39 - (-270)/(-65). Let r(s) be the first derivative of -s**4/4 - 5*s**3/3 - 3*s**2/2 + 5*s + 404. Give r(t).
1
Let y = -77 + 80. Let a be (-2)/y*(-2937)/(-178). Let p(x) = 2*x**2 + 20*x - 17. Calculate p(a).
5
Let p(k) = k - 4. Let r = 616 + -312. Let l be (7/35)/(-3 + r/100). What is p(l)?
1
Suppose 0 = 3*q - 10*q + 8*q. Suppose q = i + 5, -4*i - 27 = 3*k - i. Let h(d) = d**2 + 3*d - 1. Determine h(k).
3
Let f(p) = -869*p**2 + 116*p - 39. Let g(b) = -89*b**2 + 12*b - 4. Let v(o) = 3*f(o) - 29*g(o). Let y be 2 + 0 + -1 + 0. Give v(y).
-27
Let v(j) = 9*j**2 + 389*j + 85. Let s be v(-43). Let o(f) = -10*f - 13. Calculate o(s).
-3
Let h(b) = -b**2 - b. Let a(i) be the second derivative of i**4/3 + 2*i**3/3 + 12*i**2 + 55*i. Let r(p) = a(p) + 5*h(p). Determine r(0).
24
Let k(o) = o**3 - 8*o**2 + 6*o + 8. Let s(y) = -3*y - 34. Let c be s(-12). Let q be 4*(-3)/(-12) - (c - -3). Let v be (2/(-3))/(q/42). Calculate k(v).
1
Let y(d) = d**2 + 44*d + 198. Let j be y(-5). Let u(s) be the third derivative of 5/12*s**4 + 1/60*s**5 + 0*s - 5*s**2 + s**j + 0. Give u(-8).
-10
Suppose -3*u - 6*t + 13 = -13*t, -u = 4*t + 2. Let i(y) be the third derivative of 0*y**3 - 1/60*y**5 + 0 + 0*y + 1/24*y**4 - 3*y**2. Determine i(u).
-2
Let g(s) = s**3 + 4*s**2 + 8*s + 11. Suppose 0 = 63*x - 65*x + 3*c - 6, 4*x + 4*c + 12 = 0. Calculate g(x).
-4
Let y(i) be the second derivative of -5/12*i**4 - 1/360*i**6 + 1/30*i**5 + 0*i**3 + 0*i**2 - 6*i + 0. Let j(g) be the third derivative of y(g). Calculate j(4).
-4
Let v(j) = -j - 1. Let z(c) = c**2 - c. Let n(d) = v(d) - z(d). Let i be 2/(3/(-54)*-3). Suppose s - i + 10 = 0. What is n(s)?
-5
Let x(u) = 13*u - 165. Let k(i) = -i**3 + 23*i**2 - 85*i - 77. Let v be k(18). Determine x(v).
4
Let r = -183 - -189. Let x(y) = 4*y + 20. Let o(f) = -5*f - 22. Let b(p) = r*x(p) + 5*o(p). Let z(c) = -c + 3. Let j be z(-5). Give b(j).
2
Let x(w) = -5*w + 19. Let j(b) = 6*b - 31. Let v(c) = 2*j(c) + 3*x(c). Determine v(-6).
13
Let a(r) = r**3 + 8*r**2 + 6*r - 5. Let q = 1064 - 1072. What is a(q)?
-53
Let k(r) be the first derivative of r**2/2 - 2*r + 1134. Let y(q) = q**3 + 7*q**2 - q - 1. Let f be y(-7). Give k(f).
4
Let d be ((-20)/75)/(5/(-150)). Let p(f) = -42*f + 321. Give p(d).
-15
Let f(y) = 6*y**2 + 10*y + 24 - 14 + 4*y**2 + 19 + y**3. What is f(-10)?
-71
Suppose -4*y = -5*m - 230, 28 - 74 = m - 4*y. Let c = -44 - m. Let q(a) = 0 - a**3 + 9131*a + 3*a**2 - 9135*a + 2. Give q(c).
-2
Let f(c) = -c**2 + 10*c - 5. Let x be 135/(-10) - (-27)/18. Let k(w) = w**3 + 15*w**2 + 36*w + 11. Let l be k(x). Calculate f(l).
-16
Let x(r) = 18*r - 7*r + 825 + 847 - 1671. Let c(h) = 5*h - 4. Let v be c(4). Let s = v + -15. What is x(s)?
12
Suppose 5*p - 5*o = -o - 15, 5 = o. Let a(h) be the first derivative of 4*h**2 + h - 3884. Calculate a(p).
9
Let k(q) = q**3 + 21*q**2 + 39*q + 24. Let v = -8878 + 8859. Calculate k(v).
5
Let j(h) be the second derivative of h**5/20 + 3*h**4/4 + 8*h**3/3 - 4*h**2 + 2304*h. Calculate j(-4).
8
Let o(c) = -27 - 29 + c + 58. Let x(r) = -3*r + 10. Let a be x(4). Let w be (12/(-16) - a)*-4. Calculate o(w).
-3
Let w(b) = b**2 - 21*b + 37. Let i be w(19). Let o(u) = -5*u + 8. Let j(a) = -1. Let n(l) = i*o(l) - 4*j(l). What is n(4)?
16
Let c(g) be the second derivative of -72*g + 0 - 1/2*g**2 + 1/6*g**3. Give c(-1).
-2
Let h(g) = 2*g**3 + 9*g**2 - 3*g - 8. Let p be h(-5). Let o be (p/4)/((-33)/22). Let x(n) = 8*n**o + 8*n + n**2 - 3*n - 7*n**3 + 5 + 5*n**2. What is x(-5)?
5
Let p(g) = 3*g + 7. Let w(n) = -1. Let b(z) = p(z) + 2*w(z). Suppose -2*c + 2 = -4*d, 0 = -5*c - 5*d - 6 - 34. Determine b(c).
-10
Let q be (-4)/(-18) - (-12 + (-820)/(-45)). Let d(v) = -v**3 - 6*v**2 - 5*v - 9. Determine d(q).
21
Let t(i) be the second derivative of -i**4/6 + 2*i**3/3 + 4*i**2 - 7588*i. Calculate t(-4).
-40
Let g(x) = -x**2 + x - 1. Let v(f) = 5*f**2 - 9*f + 2. Let c(a) = -4*g(a) - v(a). Suppose 14*q + 6*q + 18 = 23*q. What is c(q)?
-4
Let x = -76 + -38. Let r = x + 120. Let g(u) = -8 + 5*u**2 - u**2 - 3*u - 3*u**2 - u. Determine g(r).
4
Let s(t) be the first derivative of t**4/4 + 3*t**3 + 4*t**2 + 6*t + 1. Let v be (0 + 1)*(71 + 5 + 4). Let z be (v/36 - 2) + 74/(-9). Give s(z).
6
Let h(i) = 4*i - 2*i**2 + 13 + 3*i + 11*i**2 - 8*i**2. Calculate h(-4).
1
Let x(y) = -4*y + 37. Let h be (-345)/(-55) - (-11 + 496/44). Determine x(h).
13
Let s(k) = -318*k - 951. Let j be s(-3). Let g(u) be the third derivative of 1/6*u**j + 0*u + 0 + 1/12*u**5 - 18*u**2 + 1/24*u**4. Calculate g(-1).
5
Let g(z) = 2*z**3 - 2*z**2 - 3*z - 2. Let s(p) = p**3 - 8*p**2 - 5*p + 10. Let j be s(8). Let a be -4 + -3 + j/(-5). Calculate g(a).
-3
Let v be ((-960)/25)/(-8) + (-16)/20. Suppose -v*s - 5*n = -28 + 23, 3*n = -3*s. Let f(c) = c**3 + 3*c**2 - 6*c - 1. Determine f(s).
-21
Let b = 779 - 746. Let j(u) = -172 + 43 + u + b + 35 + 45. Give j(6).
-10
Let n(g) = 5*g + 2. Let x(h) = h. Let b(w) = -n(w) + 4*x(w). Let s(m) = -2*m + 21. Let z be s(-6). Let f = z - 35. Give b(f).
0
Let h(w) = -16*w - 2 + 25*w + 10*w - 22*w. Let z(t) = t**2 - 8*t + 6. Let k be z(7). What is h(k)
|
{
"pile_set_name": "DM Mathematics"
}
|
mine g(j).
-5
Let m(i) = 396*i**2 - 191*i**2 + 3 + 14*i - 201*i**2. Give m(-3).
-3
Let w(s) = -12*s + 0*s**2 + 101 - 66 - 61 + 4*s**2 - 3*s**2. Determine w(14).
2
Let u(l) = 5*l**3 - 13*l + 16*l + 21 - 22. Determine u(2).
45
Let u(m) = 9*m - 8. Let i(d) = 10*d - 9. Let x = 23 - 14. Suppose 0 = -4*n - x + 29. Let c(y) = n*i(y) - 6*u(y). Determine c(2).
-5
Suppose -2*j - 2*j = -4. Let k(c) = -4*c**2 - 2. Let z(v) = 77*v + v**2 + 2*v**2 - 2*v**2 - 76*v - v**3. Let m(t) = j*z(t) + k(t). Determine m(-3).
-5
Let a(w) be the second derivative of 2*w**2 - 1/12*w**4 + 2/3*w**3 + 17*w + 0. Determine a(4).
4
Suppose -3*p - 3*p = -48. Suppose 4*m - 8*m = p. Let b(c) = -c**2 + c + 2. Give b(m).
-4
Let j(n) = -3*n**2 + 7*n - 5. Suppose -r + y + 5 = 0, 3*r - 8*y + 7*y = 15. Calculate j(r).
-45
Let r(o) = o**2 - 4*o - 3. Let a(j) = -j**2 + 9*j + 74. Let f be a(14). Give r(f).
-3
Let v(j) = j**2 + 5*j + 4. Let b(f) = f**3 + 10*f**2 - f - 1. Let l be b(-10). Let n = -14 + l. What is v(n)?
4
Let c be (-1)/(1/(-3) + 4/3). Let r(j) = -j. Let z(o) = 5*o - 3. Let q(m) = c*z(m) - 3*r(m). Give q(2).
-1
Let y(m) be the third derivative of m**7/5040 + m**6/72 + m**5/6 + 7*m**2. Let r(c) be the third derivative of y(c). What is r(0)?
10
Let f(v) = -3 - 2 - 53*v - 3 + 55*v. Let u(l) = -l + 4. Let p(k) = -3*f(k) - 5*u(k). Suppose 3*x = -3*m + 15, -4*x - m = -3*m - 2. Give p(x).
2
Suppose -258 = 2*w - 72. Let c be w/(-33) + (-10)/(-55). Suppose -5*g - 2 = 3*s, c = 3*s - 5*s - 5*g. Let j(i) = 13*i**3 - i**2 - i + 1. What is j(s)?
12
Suppose 0 = y + y + 4. Let j be y/8 + 11/(-4). Let x(u) = -u + 16. Let l(z) = 2*z - 34. Let d(i) = -6*l(i) - 13*x(i). Calculate d(j).
-7
Let g be (-10)/(-3)*-1*(-30)/25. Let l(z) = 0*z + g*z - 1 + 3*z - 5*z. Determine l(-1).
-3
Let g(k) = 2*k**2 - k - 8. Let j(x) = x**2 - 20*x + 1. Let c(d) = g(d) - j(d). Give c(-20).
11
Suppose c = 5*c + 16. Let k(a) be the first derivative of a**3/3 + 3*a**2 + 5*a - 463. Calculate k(c).
-3
Let s(p) = -4*p**2 + p + 6. Let w = 40 - 24. Let v = 8 - w. Let a(f) = 11*f**2 - 4*f - 18. Let c(t) = v*s(t) - 3*a(t). Give c(6).
-6
Let h(p) be the third derivative of p**6/120 + 11*p**5/60 + 3*p**4/8 + p**3 + 18*p**2. Calculate h(-10).
16
Suppose -2*z + 4 = -4*r, -6*z + z + 25 = 5*r. Let j be (1 + -6)*-1 - r. Let s(g) = 3*g - 3. Determine s(j).
9
Let d(s) = s**3 - s**2 - s + 1. Let k be (-9)/(-3)*(-2)/6. Let p be 6 - 8 - (-1 - k). What is d(p)?
-9
Let v(s) = 2*s**2 - s + 1. Let y be v(1). Suppose -5 + y = h. Let m be (1 + 9/h)*1. Let f(p) = -p**3 - p**2 - 2*p. Determine f(m).
8
Let v(w) be the second derivative of w**3/6 + 7*w**2/2 - 4*w. Let p be v(-5). Let h(x) = p - 1 + 7*x + 3 - 3. Determine h(-1).
-6
Let u be 5/(-4)*(2 + 2). Suppose 5*v = 3*f + 13, 4*v - 6 = -0*v - 2*f. Let t(m) = -m**2 - 2 + m - 1 - 6*m - v*m. Give t(u).
7
Let x(r) = r**3 - 8*r**2 + 8*r + 11. Let a be x(7). Suppose 0 = 3*h - 8*h + 15, -4*f = 2*h - a. Let l(d) = -2 + 4*d**2 + 4 - f*d**2 - 7. Give l(-4).
11
Let k(f) be the second derivative of -f**5/20 + 29*f**4/12 - 2*f**2 + 171*f. What is k(29)?
-4
Suppose -2*t - 5*d + 12 = 0, -3*t = t - d - 46. Suppose t = 7*l + 67. Let w(c) = c**3 + 9*c**2 + 7*c - 8. Give w(l).
0
Let o(k) be the third derivative of -k**5/60 + k**4/24 - 59*k**2. Give o(-4).
-20
Suppose 26 = 5*i - 9. Let o(h) be the first derivative of -h**3/3 + 3*h**2 - h - 71. Give o(i).
-8
Suppose -16 = -6*i + 20. Let f(r) = -3*r + 9. What is f(i)?
-9
Let v(a) be the first derivative of a**4/4 + 2*a**3/3 - 5*a**2 - 5*a - 102. Calculate v(-4).
3
Let a(o) = o**2 - 6*o + 2. Let r be 13/(364/184) + 9/21. What is a(r)?
9
Let k(g) be the first derivative of -10*g**3 + g**2/2 + g + 49. Give k(-1).
-30
Let s(a) = 5*a + 22. Let v be (2/(-1) + 4)/((-66)/165). Determine s(v).
-3
Let b(j) = -3*j + 3. Let r be b(2). Let f(d) = -d**3 + d**2 + 4*d. Let u(g) = 3*g**3 - 4*g**2 - 13*g. Let a(q) = -7*f(q) - 2*u(q). What is a(r)?
-12
Let u(g) = -1. Let z(p) = p**2 - 1. Let x(k) = -u(k) - z(k). Let a(r) = -r**3 - 9*r**2 + 9. Let i be a(-9). Let v be (-1)/(-2 - (-15)/i). Give x(v).
-7
Let y(u) be the third derivative of u**6/120 - 2*u**5/15 + u**4/3 + 5*u**3/6 - 58*u**2. Calculate y(7).
12
Let v(h) = h**3 - 5*h**2 + h - 8. Let z(k) = -k**2 + 303*k + 4 - 3 - 301*k. Let a(r) = v(r) + 4*z(r). Calculate a(8).
4
Let w(v) = 438 + 4*v + 438 + 2*v**3 - v - 878 - 3*v**3. Let k be 4/(-8) - 5/(-2). Give w(k).
-4
Let t(r) = 11*r**2 - 17*r + 77. Let b(v) = 5*v**2 - 7*v + 38. Let y(h) = 13*b(h) - 6*t(h). Calculate y(13).
6
Let o(j) = -10*j**3 + 23*j**2 - 3*j - 13. Let d(f) = 3*f**3 - 8*f**2 + f + 5. Let s(c) = 7*d(c) + 2*o(c). Calculate s(10).
19
Let l(k) = -k**2 - 22*k - 110. Let h be l(-7). Let v(m) = m**2 + 5*m - 8. Determine v(h).
-8
Let u be 3 + 1 + 1 + -3. Suppose 9 = u*j - o, 0 = j - 2*o - 11 + 2. Suppose -3*c = -j - 6. Let w(d) = -3*d. What is w(c)?
-9
Let q(f) = -3*f + 4. Let g(p) = -4*p + 5. Let l(r) = -2*g(r) + 3*q(r). Let i(u) = -u**2 - 20*u - 24. Let o be i(-19). Calculate l(o).
7
Suppose -4 + 9 = -5*j. Let w(c) = 10 - 9 + 2301*c - 2296*c. Give w(j).
-4
Suppose -h + 5*q + 15 = 0, -h + 11 = -5*q + q. Let s = 2 - 0. Let d(c) = -6*c**s + 4*c**2 + 1 + 3*c**2 + 6*c. Calculate d(h).
-4
Let h be 6/((-6)/2) + -4. Let k = 1 - -4. Let d(r) = k*r + 3 - 4*r**3 + 8*r**2 - r**2 + 5*r**3 - 10. Calculate d(h).
-1
Let u(x) = -x**2 - 11*x + 28. Let m be u(-13). Let d(t) = 2*t**2 + 4*t**m - 8*t + 15 - 2 - 7*t**2. Give d(-9).
4
Let t(v) be the second derivative of v**4/12 - v**3/3 - 5*v**2/2 - v. Let p be 56/(-2 - -4) + -2 + 5. Suppose 6 = -5*y + p. Determine t(y).
10
Let p(v) = -2*v**2 - 3*v - 1. Let g(b) = -b**2 - 3*b + 2. Suppose 3*j - a - 6 = 2*a, -3*j = 2*a - 26. Let f = j + -10. Let t be g(f). Determine p(t).
-3
Let k(q) = -q**3 + 7*q**2 - q + 4. Suppose 2*c = c + 65. Let h = -36 + c. Let z be 1/(-4) + h/4. What is k(z)?
-3
Let w(m) = m**3 - 3*m**2 - 3*m + 6. Let s be 90/(-165) + 1 + 117/33. Determine w(s).
10
Suppose 0 = -13*r - 50 + 24. Let d(l) = 8*l**3 + 2*l**2 + l + 1. Let f(g) = 7*g**3 + 2*g**2 + g + 1. Let h(a) = -5*d(a) + 6*f(a). Determine h(r).
-9
Let g(n) = n - 4. Let q(d) = 2*d - 10. Let k(i) = 5*g(i) - 3*q(i). Determine k(6).
4
Suppose 0 = -5*x + 2*c - 2 + 41, 2*x - 10 = -2*c. Let h(w) = -3*w**2 - 23*w + 9. Let z(f) = 2*f**2 + 12*f - 4. Let i(k) = 3*h(k) + 5*z(k). Determine i(x).
-7
Let d = -18 + -18. Let l = d - -64. Let y = -30 + l. Let r(a) = -2*a. Calculate r(y).
4
Let t(w) be the second derivative of 7*w**3/3 - 15*w**2/2 - 31*w. Let r(k) = 5*k - 5. Let x(f) = -8*r(f) + 3*t(f). What is x(-5)?
-15
Let z(j) = -9 + 4 + 4 - 4*j**3 + 3*j**3 + j. Let f(c) = -3*c**3 + 3*c**2 + c - 3. Let o(i) = f(i) - 2*z(i). Give o(2).
1
Suppose 0 = -i - 11 + 11. Let g(c) = 11*c - 2*c**2 - 12*c - 5 - 1 + c**2. Determine g(i).
-6
Suppose -4*g + 32 = 40. Let l(z) = -3*z**2 + z - 2. What is l(g)?
-16
Let u(a) = 2*a - 18. Let d be u(10). Let l(y) = -17*y**3 + 18*y**3 + y**2 + d + 1 - 6. Let w be 2 + 2*-2 + 2. Calculate l(w).
-3
Let y be 36/(-42)*(2 - 60/9). Let g(b) = 3*b**2 + 6*b + 6. Let n(j) = 4*j**2 + 7*j + 7. Let q(x) = y*n(x) - 5*g(x). What is q(3)?
1
Suppose -u - u = -48. Let x be (-3 - 51/(-2)) + (-3)/(-2). Let b = x - u. Let n(o) = o**3 - o**2 + 1. What is n(b)?
1
Let i(u) = -5*u**2 + 9*u + 7. Let g(j) = 9*j**2 - 18*j - 13. Let w(b) = -6*g(b) - 11*i(b). Let x be (7/2*-1)/(4/8). Calculate w(x).
-13
Let d(c) = 2*c - 1. Let j(g) = -14*g + 72. Let f be j(14). Let w = f + 119. Give d(w).
-11
Let x(l) = -3*l**2 + 38*l - 34. Let f(q) = -q**2 + 12*q - 11. Let w(n) = -7*f(n) + 2*x(n). Give w(6).
-3
Let n(d) = 6*d - 2 + 13*d + 3 + 16*d - 32*d. Determine n(2).
7
Let n(x) be the second derivative of 1/2*x**2 - 1/3*x**3 + 7*x + 0. Give n(-2).
5
Let w = -22 + 24. Let n(b) = 1 + w*b**2 - 5*b**2 + 2*b - b**2. Calculate n(-1).
-5
Suppose 2*u + 55 = 3*m - 4, u = 4*m - 27. Suppose 0 = -3*g + 6*g - 78. Let h = u + g. Let n(j) = j + 12. Determine n(h).
7
Suppose -9 = -p + 12. Let z be (3 + p/(-9))*3. Let u(h) = -h + 3. Give u(z).
1
Let k(z) = -z**2 - 6. Suppose 5*g - 9 = 3*r, 0 = 5*r - 5*g + 7 + 18. Let y be (16/(-10))/(r/(-140)). Let c = y - -28. Give k(c).
-6
Let n(m) be the first derivative of m**2/2 + 12*m + 185. Give n(-7).
5
Let x = 24 - 21. Suppose 8*t + z - 34 = x*t, -2 = t - 2*z. Let a(q) = -q
|
{
"pile_set_name": "DM Mathematics"
}
|
ange 51*c**2 + 39*c**2 + 4*c**2 to the form m*c + i + p*c**2 and give i.
0
Rearrange (k - 3*k - 1 + 0*k)*(9*k + 0*k - 192*k) to the form z*k + r*k**2 + f and give z.
183
Express (0 + 4 - 1)*(-9*i + 0*i - 5*i) in the form d + p*i and give p.
-42
Rearrange -2 + o - 3*o**4 - 5*o + 1 + 0 to the form j*o**2 + n + x*o**3 + m*o**4 + c*o and give m.
-3
Express -p + 2 - 35*p**3 + p + 37*p**3 - 31*p**2 as w*p**3 + k*p**2 + h*p + n and give w.
2
Rearrange (6*k - 6*k - 2*k**3 - 1)*(3 - 9 - 18) to the form b*k**2 + a*k**3 + q + x*k and give q.
24
Express (5 + 0 - 4)*(1 - x**4 - 1) as n*x**4 + d + u*x**3 + j*x + i*x**2 and give n.
-1
Rearrange -2*z**2 + 23*z - 3 - 31*z + 3 to the form v*z + j*z**2 + s and give v.
-8
Rearrange 4 - 7*a + 4*a - a - 4*a to h + o*a and give h.
4
Rearrange (-t - t + 4*t)*(1 - 2 - 1) - 3 + t + 3 + 5*t - 2*t - 5*t - t + 2*t - 2*t + (4 - 4 - 2*t)*(-11 + 4 - 4) to the form r*t + n and give r.
16
Express -2*n**4 + 6*n + 0*n**4 - 4*n**2 - n**3 + 0*n**4 + 7*n**2 as b*n**3 + k*n**4 + y*n**2 + d + s*n and give s.
6
Express 2*y**3 + 1 - 2*y**2 - 51*y - y**2 + 54*y in the form d*y**2 + o*y + b + g*y**3 and give g.
2
Rearrange (0 + 1 + 1)*(2*j - 3*j + 1 - 3*j) to s + g*j and give s.
2
Express (1 - 1 + 1)*(0*x - 2*x + x) + 2*x - 4*x + 5*x + 0*x + x - 4*x in the form b*x + h and give b.
-1
Rearrange 3*w**3 - 3*w**2 - 6*w**3 + 0*w**2 + w**2 to the form v*w + o + j*w**2 + t*w**3 and give j.
-2
Rearrange -1 - 3*t + 2 - t + 17*t**3 - 16*t**3 to m*t**3 + u + o*t + h*t**2 and give o.
-4
Express 2*w**4 - w**4 - 3*w**4 + (2*w**2 + 4 - 4)*(-1 + 1 + w**2) - 26*w**4 + 6*w**4 - 10*w**4 as p*w**2 + v*w**4 + o + r*w + j*w**3 and give v.
-30
Express 20 - 2*z**3 - 12 - 33 - z**2 in the form u*z**3 + i*z + k*z**2 + l and give l.
-25
Rearrange d + 6*d**2 - 12*d**2 - 2*d to the form m + w*d + o*d**2 and give o.
-6
Express -10*u**2 + 3*u**2 + 3*u + 9*u**2 in the form d*u**2 + w + p*u and give d.
2
Rearrange (-3 + 0 + 1)*(0*h - h - h) - 1 + 1 - h + (0*h + 0*h + 3*h)*(-4 + 2 + 3) to y*h + n and give y.
6
Rearrange 6*f + 3*f - 9*f + 6*f**2 + 1 to the form j*f**2 + x*f + l and give l.
1
Rearrange -t**3 + 3*t**2 - 6*t**3 + 2*t**3 + 0*t**2 to the form o*t**2 + k + x*t + n*t**3 and give o.
3
Express 3 - 9*r**3 + 1 + 6*r**3 as v*r**3 + n + d*r**2 + c*r and give v.
-3
Express -4*n**4 + n**3 - 9*n - 2*n**3 + 17*n - 2*n**2 + 3*n**4 as i*n**3 + h*n + v + s*n**4 + r*n**2 and give r.
-2
Express (0*w + 0*w - 3*w)*(-3*w + 6*w - 2*w**2 + 4*w**2) in the form r*w + u*w**2 + n*w**3 + f and give u.
-9
Express -w**4 - 4*w**3 - 1 - 3*w + 6*w**3 + 1 as j*w**2 + n*w**3 + m*w**4 + g*w + f and give g.
-3
Rearrange -5 + 4*t + 7 - 2 to the form w + n*t and give n.
4
Express 16 - 16 + 0*a - 2*a - 3*a**2 in the form k + n*a + q*a**2 and give q.
-3
Express -1 + 1 - 3*j + 4 - 4 + 2*j + (1 + 0 - 2)*(-2*j - 1 + 1) - 2*j - 1 + 1 as w*j + s and give w.
-1
Rearrange j**3 - 5*j**4 + 8*j**4 - 5*j**4 + 2*j**2 to the form p + s*j**3 + y*j**4 + z*j**2 + h*j and give p.
0
Express (-3 + 0 + 5)*(2 - 2 + 1)*(-r**2 - 16*r**2 - 16*r**2) in the form w*r**2 + b*r + h and give w.
-66
Rearrange -2*k - 13*k**2 - 8 + 8 + 3*k to the form s*k**2 + a*k + y and give a.
1
Rearrange 6*j + 3 - 5*j**3 - 6*j - 1 to the form z + q*j**2 + o*j + g*j**3 and give g.
-5
Express (4 - 5 - 1)*(-18*p - 11*p + 6*p)*(-2 + 3 - 2) as q*p + o and give q.
-46
Rearrange (-2*v - 1 + 2 + 2)*(0 + 0 - 3)*(22*v + 7*v**2 - 22*v + (-3*v + 3*v + v)*(v + 2*v - v)) to l + h*v + g*v**2 + m*v**3 and give m.
54
Express 2 - 2 - 2*t**3 - 160*t - 6*t**3 + 160*t + (0*t + 3*t - t)*(0*t**2 + 3*t**2 - 2*t**2) in the form o*t + k*t**3 + l*t**2 + i and give o.
0
Rearrange (-c + 0*c - c)*(2 - 3 - 1 + (4 - 1 - 1)*(5 - 4 + 2)) to f*c + z and give f.
-8
Rearrange -x**3 + 5*x**2 + x + 14*x**2 - 8*x**2 to the form s*x + l*x**3 + t + h*x**2 and give s.
1
Express 0*u + 5*u + 7*u as c + z*u and give z.
12
Rearrange v**3 + 0*v + 26*v**4 - 34*v**4 + 0*v - v**2 to j*v**2 + l + d*v**4 + o*v**3 + g*v and give j.
-1
Express 2*z**2 - 7*z - z**2 - 2*z - 11*z in the form w + r*z**2 + s*z and give r.
1
Rearrange (p**2 + 4*p**2 - 6*p**2)*(-p + 0*p + 2*p) + 14214*p - 48*p**3 - 14214*p to the form n*p**3 + x*p**2 + l*p + y and give n.
-49
Rearrange -1 - 1 + 1 - j**4 + (4 - 3 - 7)*(2*j**2 - 3*j**4 - 2*j**2) to the form d*j**4 + n*j**2 + y + g*j + f*j**3 and give f.
0
Express -15*d - 33*d - 45*d in the form f + s*d and give f.
0
Rearrange ((4 - 4 + 3*h)*(-5*h + 5*h - 2*h) + 5*h**2 - 4*h**2 - 2*h**2)*(h - h - 4 + h) to j*h**3 + q*h**2 + u*h + o and give j.
-7
Rearrange 27*m**2 + 1900*m - 1900*m to the form w + f*m**2 + b*m and give f.
27
Rearrange (-199 + 199 + 43*l)*(-3*l**2 - l**2 + 2*l**2) to t*l**2 + v + o*l**3 + f*l and give o.
-86
Express ((-o + 3*o + 5*o)*(1 - 4 - 1) - 3*o + 0*o + o)*(-4 + 3 - 4) in the form t*o + y and give t.
150
Rearrange -10*v**2 - 11*v**2 + 25*v**2 + (2 + 1 - 1)*(v**2 + v**2 + 0*v**2) + (0*v - 6*v + 4*v)*(-v - 2*v + 5*v) to k*v + r + m*v**2 and give k.
0
Express 2*z**2 + z**3 - 8*z**2 + 0*z**3 as l*z**2 + y + h*z**3 + a*z and give y.
0
Rearrange u**2 + 0*u + 0*u + 0 - 2*u**2 + 0 + (-u + u - u)*(-8*u + 5*u - 12*u) + 5*u**2 - 2*u**2 - 4*u**2 to j*u**2 + w + l*u and give j.
13
Express 40 + 19*h - 40 as f*h + n and give f.
19
Express -337*g + 87*g**3 + 337*g + (-4*g**2 + g**2 + 4*g**2)*(-2 + 2 + 2)*(-2*g + 2 - 2) in the form o + i*g + m*g**2 + u*g**3 and give u.
83
Express -3*o - 16 + 4*o**2 - 14 + o**3 - 5 + 36 in the form l*o + r*o**2 + m + n*o**3 and give m.
1
Rearrange 0*q - 4*q + q + (6 - 3 - 2)*(q - 8*q - 4*q) to the form u*q + b and give u.
-14
Express -74*u + 121*u + 16*u in the form h*u + x and give h.
63
Rearrange -s**2 + 2 - s - 6*s - s**3 + 10*s to y*s**3 + i*s**2 + b*s + u and give i.
-1
Rearrange (-4*k + 0*k + 5*k)*(5*k - 5*k - 11*k)*(-2 + 3 - 2) to f + y*k**2 + u*k and give y.
11
Rearrange 46*a**2 + a - a - 19*a**2 to j*a**2 + d + h*a and give j.
27
Express 2*t + 0*t**3 + 0*t**3 - 2*t**4 + 174 - 172 as z*t**4 + r*t**3 + k + g*t**2 + d*t and give z.
-2
Express 8 - 10*q - 16 + 6 + 3 as h*q + u and give h.
-10
Rearrange 48*t**3 - t + 1 + 28*t**3 + 3*t + (0*t + 0*t + 3*t)*(t**2 - 3*t + 3*t) to the form q*t**3 + d*t + r*t**2 + z and give d.
2
Express -5 - 7 - 14*i + 12 as g + t*i and give t.
-14
Rearrange 4*y**4 - 5*y + y**3 + 4*y - 1 - 3*y**4 + 5 to q + o*y**4 + k*y**2 + z*y**3 + r*y and give q.
4
Express (-2*g - 2*g + 7*g)*(-g**2 + 4*g**2 - g**2 + 2*g) as p*g + x*g**3 + m*g**2 + r and give m.
6
Rearrange (5 + 32 - 13)*(-5 + 2 + 2)*(0*p - p - 2*p) to v + u*p and give u.
72
Rearrange (6 + 10 + 4*o - 14)*(-9*o**2 + 17 - 17) to the form g*o**2 + n*o**3 + y*o + f and give n.
-36
Express -3*s**3 + 5*s**3 - 25*s**3 + (5*s**2 - 4*s**2 - 2*s**2)*(-2*s + 3*s + 2*s) in the form y*s**3 + d*s + n*s**2 + w and give y.
-26
Rearrange g**2 + 2*g**2 + 2 + g - 3*g + 4*g**4 + 0*g**2 to m + j*g**3 + d*g**4 + f*g + w*g**2 and give w.
3
Express -f**2 - 43*f + 85*f - 1 - 42*f - 11*f**3 as v*f + q*f**2 + k + p*f**3 and give k.
-1
Express -16 - 26*y + 16 in the form b + u*y and give u.
-26
Rearrange -130*y**2 + 2*y**4 + y**3 - 2*y + 4*y + 128*y**2 to b*y**2 + v + f*y**3 + c*y + a*y**4 and give f.
1
Rearrange -r**3 + 0*r**3 + r**2 + 2*r**3 - 7 + r to v*r**2 + d + b*r**3 + m*r and give b.
1
Rearrange -4*w + 2*w + w - 3*w + 0*w + 5*w + (-4 - 3 + 5)*(1 - 1 + 2*w) + 4*w - 3*w - 3*w + 2 - w - 2 + (4*w - w - 5*w)*(0 + 5 - 4) to l + q*w and give q.
-8
Rearrange -18*f - 12 + 12 + (0 + 1 + 0)*(-f - f + 3*f) to the form b + r*f and give r.
-17
Express -5*y + y**3 + 5*y + (-1 - 2 + 1)*(-y + y + 2*y)*(-2*y**2 - 3*y + 3*y) in the form v*y**3 + m*y**2 + q*y + k and give v.
9
Express -3*s + 16*s**2 + 4*s + s**4 + 2*s**3 - 1 - 3*s**2 as g + v*s + h*s**4 + r*s**3 + j*s**2 and give r.
2
Express (143 - 1 + 21)*(-p + 5*p - 2*p)*(0 + 1 - 3) in the form x + n*p and give n.
-652
Express (-2 + 2 + 3)*(2 + 2 - 2)*(2*q + 2*q - 2*q) in the form r + m*q and give m.
12
Express (0*w + w - 3*w)*((-5 + 4 + 0)*(0 - 4 + 2) + 1 - 7 + 2) in the form n + s*w and give s.
4
Express 5*j**2 - j**4 - j**3 + 2*j**2 - 8*j**2 - 1 as z*j**4 + b*j + w*j**2 + t*j**3 + s and give t.
-1
Express -3*t + 10*t + 3*t**2 + 0*t - 3*t in the form p + j*t**2 + s*t and give j.
3
Rearrange (0 + 0 - 2*k**2)*(2*k - 3*k - k) + 17*k**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
4?
2
Which is the closest to -4? (a) 0.4 (b) -2 (c) -2/3 (d) 5/2
b
What is the nearest to 0.06 in -3/11, -2, 1/5?
1/5
Which is the closest to 1? (a) 2/15 (b) 3/55 (c) -0.1 (d) -0.3
a
What is the closest to 0.2 in 0.1, 2/21, 1/7, 4?
1/7
What is the nearest to -2/3 in -0.1, -1, 16, 4?
-1
What is the nearest to 1 in -3, 0.38, 2/3?
2/3
What is the closest to 2 in 1/2, -4/7, 0.3, 0.1?
1/2
What is the closest to -0.1 in 4/5, -5, -2/3, -1/10?
-1/10
What is the nearest to 17016 in 0, 2, -4?
2
Which is the nearest to -1/4? (a) 1/12 (b) 1 (c) 1/5 (d) 23
a
What is the nearest to 1 in 6.9, 5, -2?
-2
What is the closest to -1 in -2/95, 0.5, -2/15?
-2/15
Which is the closest to -0.13? (a) -30 (b) 1 (c) -1
c
Which is the closest to -2/5? (a) -12 (b) -2.1 (c) 0.3
c
Which is the nearest to 2/11? (a) 4 (b) -1/3 (c) 6/11 (d) -0.3
c
What is the closest to -185 in 2, -0.1, -4, -6?
-6
What is the nearest to 1/5 in 2, -0.1, -5, 3?
-0.1
What is the nearest to 1 in -16/9, 0, 0.03?
0.03
What is the nearest to 0.1 in -6, -4, -0.8?
-0.8
What is the nearest to 1/4 in -1, 3/4, -3/2?
3/4
Which is the nearest to 0.1? (a) 53 (b) 3/11 (c) -1/5 (d) -4/7
b
What is the closest to 0 in 0.3, 89, 4?
0.3
Which is the closest to 0.5? (a) -66/13 (b) 1 (c) -7
b
What is the closest to -0.1 in 46, 0.5, -3, 2?
0.5
What is the closest to -1.2 in 2/7, -0.5, 0.121?
-0.5
What is the closest to 0.1 in 5, -7/5, -4, -3?
-7/5
What is the closest to -2/3 in -1/4, -5, 143/5?
-1/4
Which is the nearest to 2? (a) 3 (b) 3/16 (c) 1/4 (d) -1
a
What is the closest to -0.04 in 0.8, -4, -0.4, 3/4?
-0.4
What is the closest to 0 in -0.5, 369, -1/9?
-1/9
What is the closest to 2/3 in -5, -13, 4, 5?
4
Which is the closest to -70? (a) -6 (b) -5 (c) 0
a
Which is the closest to 0.1? (a) 0.5 (b) -6 (c) -3
a
What is the closest to 42 in 3/4, 5, -3/2?
5
Which is the closest to -2/3? (a) -4 (b) 5 (c) -0.1 (d) -47
c
What is the closest to -0.1 in 1, -105, -0.5?
-0.5
Which is the closest to -6? (a) 0.5 (b) -2 (c) 5
b
Which is the closest to 1/2? (a) 0.4 (b) 24 (c) 2/3 (d) 10/9
a
What is the closest to -2 in 24, -1, 0.3?
-1
What is the closest to 0 in 2, -0.5, -52?
-0.5
What is the nearest to -1/10 in -0.4, 5, 1/2, -1.3?
-0.4
What is the closest to 2.8 in -9, -2, 8?
-2
Which is the nearest to 2? (a) -5 (b) 4/9 (c) -1/2
b
What is the closest to 1 in -16, 2/3, -2?
2/3
What is the nearest to -3 in -2/19, 0.3, -22?
-2/19
Which is the closest to -1? (a) -0.4 (b) -9 (c) -1/4
a
What is the closest to -1/3 in -4, 0.1, -2, 184?
0.1
What is the nearest to -0.1 in -0.09, 0.4, -0.4, 4?
-0.09
What is the closest to -2/5 in 2, -2/21, 0.396?
-2/21
Which is the closest to -4? (a) -4 (b) 1 (c) 4
a
What is the closest to -0.1 in 5, -3, 3/10?
3/10
Which is the closest to -0.2? (a) 2 (b) -4/7 (c) -758
b
What is the nearest to 1/7 in 0, -0.08, 1/4, 4?
1/4
What is the nearest to 2 in 5, 1, -2/3, 1/3?
1
What is the nearest to -0.1 in 2.5, 3/2, -0.4?
-0.4
What is the closest to -0.1 in -0.0422, -3, 5?
-0.0422
What is the nearest to -1.03 in 4, 0, -2/19?
-2/19
What is the nearest to 2/5 in -0.31, 3/5, -2, 2/13?
3/5
Which is the closest to -2/11? (a) -1/3 (b) 3/11 (c) 0 (d) 0.2
a
What is the nearest to 0.2 in -3, -77/5, 3?
3
What is the closest to -2/71 in 4/3, 0.4, 5/2?
0.4
Which is the closest to 2.7? (a) 0 (b) 2 (c) -5 (d) -2/11
b
What is the nearest to 1/41 in 1/3, -1, 1/14?
1/14
What is the nearest to 0.2 in -0.3, -2/99, 3/7?
-2/99
Which is the nearest to 1? (a) -6 (b) -3 (c) 38
b
What is the closest to -1/2 in -1, 40, -0.1?
-0.1
Which is the nearest to -411? (a) -0.3 (b) -2 (c) -1
b
Which is the nearest to -0.3? (a) 0 (b) 4 (c) -4 (d) 0.71
a
What is the closest to -1/7 in -3, -1, 2/7, -1/2?
-1/2
Which is the closest to 2? (a) -2.4 (b) -1 (c) 204
b
Which is the closest to 0? (a) -5 (b) 0 (c) 4 (d) -0.3
b
What is the nearest to 25 in 1, -4, -4/11?
1
Which is the closest to 2? (a) 1 (b) -12/11 (c) -3
a
Which is the nearest to -0.1? (a) -130/7 (b) -3 (c) -4/3
c
Which is the nearest to -2/5? (a) 1/2 (b) 2/9 (c) -4 (d) 2/23
d
Which is the nearest to -2? (a) 1/5 (b) 0 (c) -0.8 (d) 0.09
c
Which is the nearest to 0? (a) -2/13 (b) 0.5 (c) 0 (d) 0.4
c
What is the nearest to 0 in 0, 3, -2/9?
0
Which is the nearest to -0.03? (a) 2 (b) -211 (c) -1
c
Which is the nearest to -2/7? (a) -156 (b) -2 (c) 2/7
c
What is the closest to 3.1 in 1, 2/9, -1, -1/3?
1
What is the nearest to 1/4 in -3, 0.5, -25, 0.3?
0.3
What is the nearest to -0.22 in 6, 1/4, 0.1, -1/4?
-1/4
What is the closest to 0.1 in 4, 3, 2/7, 0.03?
0.03
Which is the closest to 3/5? (a) 0 (b) -4 (c) -3/16
a
What is the nearest to 0 in 1, -2, 3, -14?
1
What is the closest to -2 in -3, -2/33, -10, 3?
-3
What is the nearest to 0.1 in 0.11, -5, -1/4, 0.4?
0.11
Which is the nearest to 0.59? (a) 1 (b) -0.1 (c) -0.2
a
Which is the nearest to 0? (a) -301 (b) 5 (c) 2 (d) -4
c
Which is the nearest to 0? (a) 2/17 (b) -4 (c) -1 (d) -0.12
a
Which is the nearest to -2? (a) 1 (b) -0.4 (c) -1 (d) -0.5
c
Which is the closest to -1/3? (a) -0.04 (b) 5 (c) -1 (d) 2
a
Which is the closest to -11? (a) 3 (b) -0.09 (c) -5
c
What is the closest to -6 in 2/3, -0.14, -5, -2/5?
-5
What is the nearest to 23 in 3, -8/3, -1?
3
Which is the nearest to -36/11? (a) 0.4 (b) 5 (c) -2 (d) -0.3
c
Which is the nearest to 2/11? (a) 0.4 (b) -11/5 (c) -0.5
a
Which is the closest to 2? (a) -1 (b) 1 (c) -6 (d) -2
b
Which is the nearest to -4/15? (a) -0.5 (b) 4 (c) 5 (d) 78
a
Which is the nearest to 0.07? (a) 15/4 (b) 0.4 (c) 2/3 (d) -1/6
d
Which is the closest to 7/2? (a) 9 (b) -4 (c) -1/10
c
What is the closest to 2 in -2, -1/3, -1?
-1/3
Which is the closest to -2? (a) -4 (b) -6 (c) 0.3 (d) 0.11
a
Which is the nearest to -2/5? (a) -3/4 (b) -0.5 (c) -9/4
b
Which is the nearest to -0.2? (a) 5.1 (b) 0 (c) 89 (d) -2
b
Which is the nearest to 0? (a) -10 (b) -1 (c) -3/10
c
What is the closest to -5/9 in 0.4, -0.1, 4?
-0.1
What is the nearest to 0.3 in 171, 0, -1/4, 0.5?
0.5
Which is the nearest to -0.7? (a) -2/3 (b) 3 (c) -4 (d) 0.3
a
Which is the nearest to 0.1? (a) -3 (b) -2 (c) -2157
b
Which is the nearest to 1? (a) 1 (b) -0.5 (c) -2 (d) -2/3
a
Which is the nearest to 2/3? (a) -3/4 (b) 5 (c) -29 (d) -2/3
d
What is the closest to 8 in -1/5, 5, -4/7?
5
Which is the nearest to -13/2? (a) -0.5 (b) 1 (c) 0.1 (d) -4/3
d
Which is the nearest to -2/27? (a) 2/9 (b) -5 (c) 5
a
Which is the nearest to 0? (a) 4 (b) 49/137 (c) 5
b
Which is the closest to 2/5? (a) -2 (b) -0.2 (c) -1 (d) 4
b
What is the nearest to -35 in -15, 0.3, 0, 1?
-15
Which is the closest to -0.2? (a) 4/3 (b) -1/7 (c) -5 (d) -1/3
b
What is the nearest to 0.4 in -7, 4, -100?
4
Which is the nearest to 7? (a) 2 (b) 1 (c) 4/5
a
Which is the nearest to 2/5? (a) 0.3 (b) -14/9 (c) 1/3 (d) 4
c
What is the closest to 2/47 in -1, 3, -4?
-1
Which is the nearest to 0.1? (a) 2.3 (b) 1 (c) 0.5 (d) 1/11
d
What is the nearest to 0.2 in -0.2, -0.1, 18?
-0.1
What is the nearest to 0.1 in -0.3, -2/11, -0.02?
-0.02
What is the nearest to -1 in 9, 8, -3/4?
-3/4
What is the closest to -1.3 in -2/3, -0.1, 3, -3/7?
-2/3
What is the nearest to 2/9 in 2, -7, -2/9, -4?
-2/9
What is the nearest to 2/5 in -12, 2/5, -6?
2/5
What is the closest to -1.82 in -5, -4, 1/5?
1/5
What is the closest to -4 in -7, -0.1, 1/60?
-7
Which is the nearest to -0.1? (a) -1 (b) 12/5 (c) -2/5
c
Which is the closest to 1? (a) -1/5 (b) 0.2 (c) -3 (d) -1
b
What is the nearest to 0.2 in 0.1, -16, -2/7?
0.1
What is the nearest to -3 in 3, -3/5, 5/2, 2?
-3/5
Which is the nearest to -0.1? (a) 0 (b) -2/15 (c) 11
b
What is the closest to -9 in 10, -5, 1/3?
-5
Which is the closest to -3? (a) -0.05 (b) 2 (c) -4 (d) 0.5
c
What is the closest to 2 in 22, -0.1, -0.5?
-0.1
What is the closest to 0 in 2/3, -5, 2/5, -0.5?
2/5
What is the nearest to 0.1228 in -5, -0.4, -2?
-0.4
What is the nearest to -2/7 in -10, -2, 2, -1.9?
-1.9
What is the closest to -1 in 0.2, -10/9, 1, 0.4?
-10/9
Which is the closest to -0.2? (a) -1 (b) -10 (c) -1/11 (d) -2/5
c
What is the closest to 1/14 in 1/4, 2/13, -1, 0?
0
Which is the close
|
{
"pile_set_name": "DM Mathematics"
}
|
150) + -98?
-80
What is the value of (4 - 19) + -2 + (-375 - -379)?
-13
What is -5 - (-15 + 0 + (-9 - (13 + -20)))?
12
Calculate 33 - ((-12 - 1 - -9) + -12 - -9).
40
-158 + 213 - (75 + -1)
-19
Evaluate 35 + -85 + (11 - -3) - 73.
-109
Calculate -1 - (-15 - -2) - (-44 + 24 - -33 - -33).
-34
What is -7 + 0 - (4 - (-4 + (-4 - -23)))?
4
Calculate -30 + 26 - ((5 - 17) + -13) - 17.
4
-9981 - -9974 - ((-2 + -7 - -2) + (2 - 0))
-2
What is (258 - 278) + 17 + 1 + 14?
12
(-1 - 6) + (3 - (18 - (-1 - (10 - 37))))
4
Calculate -79 - 45 - -32 - -82.
-10
What is -10 - (-3 + (-7 - (-1 + -2 + 2)))?
-1
What is the value of 23 - (10 - (-4 + (-9 - (10 - 33)) + 9))?
32
53 + (-22 - 52) - (11 - 3 - 154)
125
Calculate 9 + 15 + -7 + 16 + -34 + 29.
28
Calculate 15 + (3 + -18 - (90 - 146)).
56
What is 26 - (172 + -161 + (-2 - 21)) - (2 + -10)?
46
Calculate (-50 - (-22 + -16 + -24)) + (-71 - (-4 + 2)).
-57
What is 2 + -11 - ((-7 + -12 - 7) + (37 - -26))?
-46
33 + 0 + (0 + -13 - 0 - (2 + -7))
25
What is 16 + 21 + -10 + -31 + (-11 + -2 - 1)?
-18
Calculate (1 + 2 - 6) + (30 - (8 + -6)).
25
(23 - 16) + -38 + -6 - 17
-54
Evaluate -3 + 30 + 1 + (1 - 20 - (-47 - -19)).
37
What is the value of 24 - (-29 + (38 - (63 + -32)))?
46
(-10 + -39 - -6) + -11 - -11 - (2 + -9)
-36
67 + 2 + 0 - (1144 - 1142 - (9 - 2))
74
Evaluate 12 - (-7 - (7 + -11 + 17 + 15)).
47
What is the value of -140 + 1 + 3731 + -3722?
-130
What is the value of 27 + 4 + 49 + (-6 - 11) + -45?
18
What is 50 - (-3 - -42) - (0 + 5) - 5 - 30?
-29
What is the value of 72 - (-14 - -7) - (21 + -32) - -8?
98
Evaluate (0 - 1) + (217 - 235) - (-1 + 9).
-27
What is the value of (11 - 12 - (-11 + -2 + -2)) + 12?
26
What is the value of 2 + -47 - (-374 - -283)?
46
Calculate 32 - (-18 + (28 - -24) + -19).
17
What is (12 - 120) + (-3 + 21 - (31 - -7))?
-128
(-69 - (13 - 32)) + 53
3
Evaluate (-107 + 32 - -1) + 37.
-37
Calculate 31 - (19 - 2) - (44 + -37).
7
(31 - ((73 - 25) + -18)) + (0 - -123) - 3
121
What is the value of 2 + 28 - (-85 - -20 - -55)?
40
What is 1 + 4 + 2 + (58 - 23)?
42
What is the value of -98 + -1 - (61 - -31 - 99) - -16?
-76
What is the value of -6 - (-23 + 8) - 3?
6
-4 + 85 - (2670 + -2565)
-24
What is the value of (3 - (-8 - -142)) + 39 + -43 + 6?
-129
What is the value of (124 - (-47 - -19)) + -35 - -16?
133
What is the value of (-9 - (1 - 0)) + -6838 + 6849 + -7?
-6
Evaluate (6 - 1 - (-154 + -65 + 113)) + -19.
92
What is 3 + -7 + 11 + (-4 - (-5 - 0) - -10)?
18
What is the value of -50 + 52 + 7 - 20?
-11
Evaluate (-5615 - -5844) + -127 + 1.
103
What is 28 + 70 - 105 - -76?
69
Evaluate -7 + (59 - 23) - 37 - (1 - 19).
10
What is -104 - -163 - (137 - 18)?
-60
-8 + -50 + 125 + -119
-52
What is the value of -2 + -52 - (0 + 15 + -33 - (-11 - 1))?
-48
What is 15 + -52 + 118 + -69?
12
What is the value of -7 + (-17 - -17) + 5 + 7 + 7?
12
Calculate 45 + 6 - (41 - (13 - 9)).
14
What is the value of -13 - ((-50 - 21) + 14) - 18?
26
What is 60 - (0 + -4 - (-171 - -144))?
37
What is the value of -73 - -51 - -22 - 40?
-40
Evaluate 1297 - 1289 - (-20 + -2).
30
What is the value of (-13 + -115 - -144) + (-1 - -47)?
62
What is the value of 49 + (-1 + 1 - 12) + 5 + (30 - 16)?
56
What is -11 + (-11 - -11) + -10 + 45 + -10?
14
What is (-1 - (23 - -4)) + 108 + -124?
-44
What is the value of (-8 - -29) + (-9 - (-8 - -14)) - 35?
-29
Evaluate 4 + 0 + (38 - 95) + 57 + (-55 - 0).
-51
Calculate -122 + (2 - -1) - (5 + (-21 - (-11 + 3))).
-111
Calculate -9 + (25 - (4 + 7) - 4) + -45.
-44
What is 26 + (-2 - -41 - 18)?
47
Calculate 1 + 9 + (-19 - 53).
-62
Calculate (-42 - -49) + -24 + 48.
31
(-6 - -1) + 93 - (69 + -26)
45
What is the value of (5 - -1) + 142 + -153 + -33?
-38
What is -7 + (-43 - (-94 - (-21 + -21)))?
2
What is -3 + 46 + 53 + -96?
0
Evaluate -16 + 30 + (23 - 1) - (-3 + 6 + -4).
37
What is the value of -43 - (151 + -142 + (3 + 0 + -2 - 4))?
-49
What is 16 - ((43 - 13 - (5 + -5)) + -14)?
0
Calculate -17 + 69 + 91 + -182.
-39
What is the value of -29 + (2 - -10) + (1 - 3 - (-10 - -2))?
-11
Evaluate -10 - (58 + -92 - (2 - 4 - (7 - 6))).
21
What is the value of 47 + (-29 - 20) + 43?
41
Calculate -34 + (-14 + 11 + -8 + 6 + -9 - -9).
-39
What is the value of (35 - (-19 + 114)) + 111?
51
What is 37 - ((-26 - 15) + 74) - -42?
46
What is the value of 20 + 1 + -60 + 21?
-18
What is 576 + (214 - 812) - (-11 + 0 - -1)?
-12
Calculate -9 + 7 + (-3 - 9) + 3 + (1 - -73).
63
166 + -26 + -17 + (4 - 16) + -18
93
Evaluate -64 - 2 - ((-71 - -52) + 22 + -3).
-66
What is the value of 1 + -20 - (-6 + 29 + -13)?
-29
What is 4 - (295 + -280 - (0 + -2))?
-13
What is (11 - 31) + (-17 - (30 - -31))?
-98
Calculate 1 + 12 + 2 + 106 + (1359 - 1384).
96
Evaluate -69 + 145 + -90 + (0 + 5 - -84 - 5).
70
Calculate (124 - (78 - -112)) + (20 - -1).
-45
What is 28 - (15 + -20 + 19)?
14
-26 - (-50 + (25 - -1)) - (4 + -3 + 21)
-24
Calculate 0 + (7 - -1) + 12 + 27 + -43.
4
What is -21 + (20 - (-16 + 18)) + (18 - 0 - -1)?
16
What is (0 - -1) + -11 + -34 + (79 - 38) - 11?
-14
What is the value of -30 + 32 + -101 - (6 - 16)?
-89
Calculate -136 + 89 + 27 + 143.
123
(-37 - (19 + -45 + 16)) + -13
-40
Calculate -1 - (-18 - (54 - 53)).
18
-52 + ((2 - -4) + -105 + 89 - (2 + -5))
-59
Calculate (4 - 10) + 1 + -13 + (7 - -10 - 14).
-15
Calculate 122 + -54 + 23 + -14.
77
Calculate (-10 - (-31 - -11)) + (-1 - 5) + (-4 - -45).
45
What is the value of 8 + (-2 + -1 + -1 - -8) - (231 + -310)?
91
What is the value of 2 + 51 + -53 - -57 - (-6 - 0 - 2)?
65
Calculate (91 - -4) + (-1063 - -860).
-108
What is the value of (-12 - -36 - -5) + -16?
13
What is (-78 - (18 - 52)) + (6 - -2)?
-36
What is 2 - -5 - (41 + -39 - -1)?
4
Evaluate (-59 - -13 - -41) + (6 + -3 - 7).
-9
What is the value of -26 - -10 - (30 - (2 + 10))?
-34
(-17 - 2 - -11 - 7) + 18
3
What is -110 + -3 + (21 - -41)?
-51
What is (73 - (-21 - -54)) + -90?
-50
Evaluate 76 + (-32 - 31) + 26.
39
What is the value of 0 + -30 + 17 + (19 - 14 - 16) + 4?
-20
What is 49 + 1 - (838 + -787)?
-1
What is 10 - -26 - (-45 - -5) - (-7 - -1 - 0)?
82
Calculate 471 + -415 - (-3 - 1 - (3 + -6)).
57
-236 + 120 - 140 - -117
-139
Evaluate -13 - (-37 + (-14 - -7)) - 31.
0
Calculate (9 - 16 - -13 - 12) + -16 - (-3 - -6).
-25
What is the value of 4 + (-36 - -2) + 45 - -108?
123
Calculate -2 + -5 + 56 + -315 + 334.
68
What is the value of (0 - 35) + (-1260 - -1282) - -54?
41
Calculate -15 - (-59 + 44) - (139 + 2) - (-9 - 0).
-132
Evaluate (-24 - (4 + -47)) + (12 - -3).
34
What is -4 + (-44 - (5 + 2) - -13)?
-42
What is the value of 1 + -61 + (15 - (3 + -7) - 11)?
-52
Calculate 1 - -119 - (30 + -1 + (-28 - 4)).
123
What is -259 - -269 - (-4 + 1 + -2 + 5)?
10
What is -8 - (-16 - (-26 + 13 - (20 + -90)))?
65
What is 5 - ((27 - (0 - 1)) + -18 + 54)?
-59
Evaluate -14 + (42 - 22) - (1 - 20 - -2).
23
What is the value of -46 + -108 + 63 - -129?
38
Evaluate -3 - (6 + -17 - -27) - (1 + -10).
-10
Evaluate 30 - (0 + -7) - (11 + -7).
33
Calculate -5 - (10 + -15 + -15 + 12) - 98.
-95
(-5 - (-12 + 6)) + -11 + -4 + 10
-4
-2 - 1 - (12 - 2) - (-17499 - -17504)
-18
Evaluate 59 - (5 + (5 - 10)) - 22.
37
(-19 - (-11 + 3)) + (-34 - 13) + -11
-69
Evaluate 40 + (45 - (40 + 18)) - (1 + 10).
16
Evaluate (-2070 - -2070) + 108 + -2 + -2.
104
What is -37 - (63 - (-4 - -136))?
32
Calculate 0 + (7 + -2 - 6) + (-111 - -93).
-19
Evaluate (5 + -12 - (0 - 14)) + -31 + -47.
-71
-1 - (-37 - (-107 + -21 + 23))
-69
What is -79 - -48 - (-13 - 9 - -5)?
-14
Evaluate (-14 - (14 + -16 + -16)) + (100 - (0 - 0)).
104
What is the value of 0 + 2 - (-11 + -4 - (-31 + 61))?
47
What is 11 + -24 + (78 - 86)?
-21
What is -88 + (-98 - -58) - -85?
-43
Evaluate 57 + (-17 - 66) - -45.
19
What is 6 + -22 - -4 - (344 - 323)?
-33
Evaluate 7 + 1 - (-96 - (4 + -5 - (-47 - -26))).
124
(36 + -6 - -29) + (-13 - (2 + -1))
45
Calculate (-22 - (-15 + 19)) + (9 - -2).
-15
What is the value of 8 + -13 + (75 + -82 - (-1 + -6))?
-5
Calculate 206 - (90 + 18) - (2 + -46).
142
Evaluate (-18 - -10) + 1 + (-5 - -7) - (-56 - 2).
53
-8 - (-2 + 2) - (-560 + 535)
17
Evaluate (-20 - -2) + (27 - 11) + 4 + -2.
0
What is -52 - -53 - 22 - 18?
-39
What is the value of 5 + 6 + (-69 - (10 + (-33 - -7)))?
-42
Calculate -491 + 470 - (2 + 3 - 2).
-24
What is the value of 33 + (-13 - (32 - 24))?
12
Evaluate 19 + 85 + (-8 - (1 - 9)).
104
-99
|
{
"pile_set_name": "DM Mathematics"
}
|
What is 18017947 divided by 783389?
23
What is -102854471 divided by -799?
128729
Calculate 0 divided by -196944172.
0
Divide -29014 by 20285.
-29014/20285
22650876 divided by 14034
1614
Divide -10007100 by -2501775.
4
Divide 5358 by 18719.
5358/18719
What is 209840456 divided by -2258?
-92932
Divide -106 by -6582.
53/3291
Divide 3 by 8239013.
3/8239013
What is 5 divided by 64692269?
5/64692269
Calculate 48816634 divided by 48816634.
1
231714200 divided by 200
1158571
104872466 divided by -52436233
-2
Calculate 65022600 divided by 8127825.
8
Calculate 99872844 divided by -3.
-33290948
3659580 divided by -731916
-5
-865123615 divided by 5
-173024723
-44134 divided by 825
-44134/825
-5 divided by -38527089
5/38527089
What is -1367033 divided by 52?
-1367033/52
What is -8970390 divided by 2255?
-3978
Calculate 22279175 divided by -1.
-22279175
-4 divided by 120264
-1/30066
What is 6273760 divided by -1568440?
-4
347502 divided by 6
57917
-1212910 divided by 12
-606455/6
-54077646 divided by -2346
23051
Divide 8330328 by -444.
-18762
What is 3210 divided by -48?
-535/8
Divide 16822899 by -1.
-16822899
Divide 78577649 by -3.
-78577649/3
Calculate -127 divided by -446476.
127/446476
Divide -7465480 by -3971.
1880
Calculate 6638688 divided by -316128.
-21
What is -491719 divided by 220?
-491719/220
-6098304 divided by -63524
96
-84086586 divided by 9342954
-9
Calculate -59297224 divided by 2117758.
-28
Calculate 107330311 divided by -2.
-107330311/2
What is 1485094900 divided by -371273725?
-4
Divide 5 by 7761970.
1/1552394
-122043354 divided by 6
-20340559
What is 12144644 divided by 264014?
46
-47629380 divided by -12
3969115
Calculate -65535250 divided by 595775.
-110
What is 14 divided by 7117827?
14/7117827
Divide 1594 by 234149.
1594/234149
Divide 187331900 by 10.
18733190
Divide -26646199 by -1.
26646199
What is -26 divided by -1369248?
13/684624
Divide -1123 by -87684.
1123/87684
What is -22205 divided by -4501?
22205/4501
What is -75150149 divided by 19?
-3955271
Calculate -25630 divided by -1902.
12815/951
Divide -642758 by -31.
642758/31
Divide 7 by 463.
7/463
Calculate -4 divided by 4583501.
-4/4583501
9972216 divided by 554012
18
Divide -341660618 by 26.
-13140793
What is -59464500 divided by 102525?
-580
What is -2 divided by -3321335?
2/3321335
Divide 3756684 by -15.
-1252228/5
Divide 137 by 124528.
137/124528
-9553281 divided by 52
-9553281/52
What is 3943760 divided by 58?
1971880/29
Divide 20052880 by -27320.
-734
5 divided by 355181
5/355181
Calculate -193563 divided by 441.
-21507/49
2683330 divided by 2683330
1
-8720712 divided by -72072
121
Divide 4827435 by 5.
965487
Divide -79196526 by -1342314.
59
-503221242 divided by 2
-251610621
Calculate -11638074 divided by -6.
1939679
435364928 divided by 6
217682464/3
What is -4935 divided by 1285?
-987/257
9763528 divided by -2804
-3482
617764890 divided by -123552978
-5
What is -9637873496 divided by 4?
-2409468374
What is -15869 divided by 1035?
-15869/1035
Calculate -378893478 divided by -2434.
155667
Calculate 1956744 divided by -9059.
-216
-3803540568 divided by 6
-633923428
What is 726674 divided by 52?
27949/2
Divide -69808755 by 5.
-13961751
Calculate -10525123 divided by 1.
-10525123
Divide 38796740 by 5.
7759348
What is -10200402 divided by -3400134?
3
What is -550354 divided by -265?
550354/265
Divide -884880 by 180.
-4916
Divide 2670 by 2651.
2670/2651
Calculate -21 divided by -9847061.
3/1406723
-1304171422 divided by -941
1385942
Divide -32272496 by -1.
32272496
Divide 79211458 by 5.
79211458/5
What is -19220232 divided by -964?
19938
2 divided by -193402
-1/96701
-466273255 divided by -5
93254651
Calculate 1818 divided by 26047.
1818/26047
What is -735027453 divided by 17?
-43236909
Divide 17874 by 939.
5958/313
2725260 divided by -164
-681315/41
What is -503791370 divided by -2?
251895685
41845 divided by -4660
-8369/932
0 divided by 36914827
0
-92790300 divided by 195348
-475
Calculate -7863996 divided by -238.
33042
-6648 divided by -1852
1662/463
Divide -123337 by 271.
-123337/271
-359 divided by -20314
359/20314
0 divided by -1523032
0
Divide -10 by -1826559.
10/1826559
Calculate 11607 divided by -118.
-11607/118
Divide -821886 by -246.
3341
What is -150 divided by -3887847?
50/1295949
Calculate -16131114 divided by 424503.
-38
Calculate 62138145 divided by 51.
1218395
Divide -1305082 by -4.
652541/2
What is -4053609 divided by -259?
15651
0 divided by 4590645
0
Calculate 603719 divided by -20.
-603719/20
-1259 divided by -397716
1259/397716
What is -6617832 divided by 12?
-551486
What is -12 divided by -5385503?
12/5385503
88914959 divided by -7
-12702137
Calculate -15 divided by 1577768.
-15/1577768
Calculate -5 divided by -1046562.
5/1046562
-73884 divided by -6
12314
Divide 15422 by -2.
-7711
What is 184300449 divided by 6?
61433483/2
Divide -221984504 by 238.
-932708
Divide 18127648 by -2102.
-8624
Divide 3831128 by -547304.
-7
Calculate -205740 divided by -127.
1620
Calculate -6904710 divided by -27.
255730
What is -13432 divided by -721?
13432/721
440426686 divided by 70322
6263
Calculate -1126944 divided by -1376.
819
-22685 divided by 24
-22685/24
-121426656 divided by 26
-4670256
What is -303866170 divided by 5?
-60773234
167534050 divided by -1
-167534050
Divide 253555859 by 241.
1052099
What is -11467548 divided by 18?
-637086
Divide -1366386331 by 2.
-1366386331/2
What is 12532260 divided by -156?
-80335
Divide 62199 by -54.
-6911/6
Divide 97549320 by 6.
16258220
2956422 divided by 12
492737/2
-2854436 divided by -2854436
1
Divide 20 by 17887.
20/17887
-38455 divided by -149
38455/149
154247940 divided by 82929
1860
What is 279946902 divided by 6?
46657817
Calculate 728972 divided by 14.
364486/7
Divide 20516892 by 3419482.
6
Calculate 129348 divided by 6390.
7186/355
What is -2562167 divided by 19?
-2562167/19
Calculate 517125 divided by 9.
172375/3
77310464 divided by 2464
31376
47145156 divided by -228
-206777
-545 divided by 71060
-109/14212
What is 264 divided by -3285?
-88/1095
Calculate -4193 divided by -136030.
4193/136030
Calculate -220385892 divided by 2004.
-109973
What is -846 divided by 43609?
-846/43609
Divide 11526150 by 268050.
43
-1009226 divided by 176
-504613/88
Calculate -1108071 divided by -15.
369357/5
Divide 0 by -6088941.
0
What is 603312 divided by -201104?
-3
What is 23565638 divided by 23565638?
1
37863765 divided by 204669
185
Calculate -49685 divided by 113.
-49685/113
Calculate 5 divided by 4093958.
5/4093958
Calculate 684025 divided by -36.
-684025/36
26508807 divided by -2039139
-13
Divide -22064789 by -6.
22064789/6
Divide -142706290 by 5.
-28541258
What is -1051066268 divided by -4?
262766567
What is -89215528 divided by 4?
-22303882
Divide 12455283 by -4.
-12455283/4
Divide -564 by 204144.
-47/17012
-85570330 divided by -10
8557033
711725281 divided by -1
-711725281
1483877 divided by 317
4681
What is -33142966 divided by -3242?
10223
Calculate 248298 divided by 41383.
6
-81061069 divided by 6869
-11801
Calculate -792928472 divided by -8.
99116059
Calculate 8735402 divided by -26.
-335977
1 divided by 61636479
1/61636479
Calculate 2 divided by 15768094.
1/7884047
What is 42972930 divided by -17490?
-2457
Calculate 2998552 divided by 374819.
8
Divide -25273650 by -5054730.
5
59371907 divided by -5
-59371907/5
Divide -5 by 57637675.
-1/11527535
What is -368821 divided by 1?
-368821
Divide -25673 by -1000.
25673/1000
Calculate -7407 divided by -44477.
7407/44477
Divide 15820260 by 1635.
9676
Divide -3065 by 592.
-3065/592
What is 124022445 divided by -41340815?
-3
-464682134 divided by 1
-464682134
Divide 5363359 by -23.
-5363359/23
-92829990 divided by -165
562606
Calculate -650118 divided by 30958.
-21
17639051 divided by 5
17639051/5
What is -6028250 divided by -1205650?
5
456412345 divided by 2669
171005
What is -3 divided by 373496?
-3/373496
Divide 464160 by -464160.
-1
Calculate -31013734 divided by 15506867.
-2
Divide -75 by 806324.
-75/806324
Divide 353595542 by -53.
-6671614
Calculate -955612176 divided by -8238036.
116
Calculate -407434944 divided by 2.
-203717472
What is 1591796 divided by -94?
-16934
Divide -170 by 156930.
-17/15693
-1631472 divided by -1
1631472
110073821 divided by 66671
1651
Calculat
|
{
"pile_set_name": "DM Mathematics"
}
|
- 25*i**2 = 0.
45
Factor -40*n**2 - 292*n**2 - 325*n**2 - 2100*n + n**3 - 2104 + 45*n**2 + 90*n**2.
(n - 526)*(n + 2)**2
Let u be ((5/(-6))/(-5))/(12 - (-27 + (-18819)/(-486))). Let g = 3/13 - 2/65. Factor -8/5*o + u - g*o**4 + 6/5*o**2 + 0*o**3.
-(o - 1)**3*(o + 3)/5
Factor -3780 - 129*x**3 + 59*x**3 + 864*x + 7*x**2 + 11*x**2 - 3996 + 67*x**3.
-3*(x - 12)**2*(x + 18)
Find j such that 1/2*j**2 + 44 + 19/2*j = 0.
-11, -8
Let d(t) be the first derivative of -3/2*t**2 + 0*t - 2 + 1/3*t**3. Suppose d(y) = 0. What is y?
0, 3
Let g(q) be the third derivative of -q**8/840 - q**7/84 - 7*q**6/180 - q**5/20 - 52*q**3/3 + 33*q**2. Let o(m) be the first derivative of g(m). Factor o(w).
-2*w*(w + 1)**2*(w + 3)
Determine t so that 3/8*t**2 + 543/8*t - 207 = 0.
-184, 3
Find i such that 148*i**3 - 136*i + 32 - 25/2*i**5 + 10*i**4 + 80*i**2 = 0.
-2, 2/5, 4
Let x(q) be the third derivative of 5*q**2 - 1/300*q**6 + 0*q**3 + 0 + 1/50*q**5 + 1/15*q**4 - 6*q. Find o such that x(o) = 0.
-1, 0, 4
Let y be (-253)/2*(-5559)/40766. Factor 3/4*n**2 - y*n + 0.
3*n*(n - 23)/4
Let b(z) be the second derivative of -z**4/6 + 598*z**3/3 - 597*z**2 + 254*z - 2. Suppose b(n) = 0. What is n?
1, 597
Let y(m) = -m**4 + 2*m - 1. Let i be -4 + ((-6)/(-6) - 9). Let g(p) = -4*p**4 - 70*p**3 + 126*p**2 + 60*p - 12. Let o(q) = i*y(q) + g(q). Factor o(n).
2*n*(n - 6)*(n - 3)*(4*n + 1)
Let s(w) = 2*w**2 + 3*w. Let q be s(-3). Suppose 0 = 6*x - 369 - 135. Factor q - 28*f**2 + 60*f - x + 39 + 4*f**3.
4*(f - 3)**2*(f - 1)
Let c be (5/(-12))/(((-9)/(-24))/((-39)/(14 - 1))). Factor 20/3 + c*t**2 - 15*t.
5*(t - 4)*(2*t - 1)/3
Solve 52*m**4 + 716*m**3 - 4*m**5 - 49*m**4 - 912*m**2 - 171*m**4 + 368*m = 0 for m.
-46, 0, 1, 2
Find w such that 47 - 44*w**2 - 1355 + 154 - 1054 - 1550*w - 702*w = 0.
-552/11, -1
Let i(u) be the first derivative of 2*u**3/33 + 2*u**2 + 210*u/11 + 1333. Suppose i(a) = 0. Calculate a.
-15, -7
Suppose 9 = -k + 75*w - 71*w, -5*w + 21 = 2*k. Let j(d) be the first derivative of 0*d + 1/18*d**4 + 7 + 0*d**2 + 0*d**k + 2/45*d**5. Let j(q) = 0. What is q?
-1, 0
Let q be (-205)/123*(-12)/5. Factor 3 + 72 + 61 - q*c**3 - 54*c - 222*c + 144*c**2.
-4*(c - 34)*(c - 1)**2
Suppose -29*b - 470 = -615. Let o(t) be the first derivative of -5/24*t**4 - 11 + 7/30*t**b + 1/18*t**3 + 0*t - 1/12*t**6 + 0*t**2. Find x such that o(x) = 0.
0, 1/3, 1
Let j(n) be the first derivative of n**8/840 - n**6/60 + n**5/30 + 34*n**3/3 - 21. Let q(l) be the third derivative of j(l). What is f in q(f) = 0?
-2, 0, 1
Let g(b) be the second derivative of -3*b**5/80 - 5*b**4/16 + 13*b**3 + 6*b + 2. Let g(f) = 0. What is f?
-13, 0, 8
Let y = 123092 - 1354010/11. Let -y*i**2 - 1152/11 - 96/11*i = 0. Calculate i.
-24
Let x(n) be the second derivative of 5/3*n**3 - 1 + 48*n + 25/12*n**4 + 1/6*n**6 + 0*n**2 + n**5. Factor x(k).
5*k*(k + 1)**2*(k + 2)
Let o = 27631 - 359201/13. Factor o + 10/13*t + 8/13*t**2.
2*(t + 1)*(4*t + 1)/13
Factor 122/11*w + 64/11*w**2 + 2/11*w**3 + 60/11.
2*(w + 1)**2*(w + 30)/11
Factor -87/8*c**2 - 153/2*c + 6*c**3 + 3/8*c**4 + 0.
3*c*(c - 4)*(c + 3)*(c + 17)/8
Suppose -4*t + 32 + 0 = -4*a, 5*a + 5 = 0. Suppose 42*y = t*y + 140. Factor 6/5*l**3 + 0*l**2 + 3*l**y + 0*l - 9/5*l**5 + 0.
-3*l**3*(l - 2)*(3*l + 1)/5
Let v = -207706 + 207711. Solve -9/2*s**2 + 7/2*s - 7/2*s**3 + v - 1/2*s**4 = 0 for s.
-5, -2, -1, 1
Solve -692 - 199 - 741 + 248*c + 4*c**2 = 0.
-68, 6
Factor -150 - 1/2*o**2 - 103/2*o.
-(o + 3)*(o + 100)/2
Let g(l) be the third derivative of l**6/240 + 17*l**5/240 + 11*l**4/48 + 7*l**3/24 - 2789*l**2. Factor g(h).
(h + 1)*(h + 7)*(2*h + 1)/4
Let z = -569 + 571. Let s be 58/145 - z/5. Suppose -4/7*p**5 + 0*p**2 + 12/7*p**4 + 0 - 8/7*p**3 + s*p = 0. What is p?
0, 1, 2
Let n(o) be the second derivative of -o**4/42 + 9*o**3/7 + 940*o**2/7 + 9332*o. Solve n(d) = 0 for d.
-20, 47
Let j be (0 + 26/39)/2. Let a(n) be the second derivative of 23*n + 2/45*n**6 + 11/60*n**5 + 1/4*n**3 + j*n**4 + 1/252*n**7 + 0*n**2 + 0. Solve a(p) = 0 for p.
-3, -1, 0
Suppose 4*g = 4*s + 56, 2*g - 43 = -108*s + 107*s. Suppose -36*y + 20*y = -g*y. Factor -4/5*n - 7/5*n**4 + y + 19/5*n**3 - 8/5*n**2.
-n*(n - 2)*(n - 1)*(7*n + 2)/5
Let x(a) = -7*a - 11. Let j be x(-3). Solve j*h + 3*h**2 + 2*h + 8*h - 7*h**2 + 0*h**2 = 0 for h.
0, 5
Let f be 107/4 - 15/20. Suppose -w - o = -2, -3*o = w - 6*w + f. Factor 0 - 9/4*p**2 + 3/4*p**3 + 1/2*p + p**w.
p*(p - 1)*(p + 2)*(4*p - 1)/4
Let w(q) = q**2 + 3*q - 2. Let m be w(-6). Let i(u) = -83*u - 1740. Let z be i(-21). Solve 2/3*y**z + 4*y**4 + 2/3*y**5 - m*y**2 + 0 + 32/3*y = 0 for y.
-4, 0, 1
Factor -4*z**2 + 382*z + 845*z - 100*z - 111*z - 64516.
-4*(z - 127)**2
Let i(f) be the second derivative of -4*f**6/135 + 121*f**5/90 - 7*f**4/27 - 484*f**3/27 + 40*f**2/3 + 1117*f. Solve i(g) = 0.
-2, 1/4, 2, 30
Let l(h) = -h**2 + 308*h - 22558. Let x be l(188). Factor -2/15*o**x - 16/15 - 4/5*o.
-2*(o + 2)*(o + 4)/15
Let a(b) be the third derivative of 0*b + 100/33*b**3 - 63*b**2 + 65/132*b**4 + 1/660*b**6 + 7/165*b**5 + 0. Find q such that a(q) = 0.
-5, -4
Let d(r) = 95*r**2 - 108*r + 11. Let n(v) = 191*v**2 - 219*v + 23. Let k(q) = -5*d(q) + 2*n(q). Factor k(p).
-3*(p - 1)*(31*p - 3)
Suppose -3*f = -2*x - 0*x + 42155, 0 = 4*x + 5*f - 84343. Let o be 20/130 - x/(-26). Find r, given that o*r + 0*r**2 - 810*r - r**2 = 0.
0, 1
Find j, given that 4/3*j**3 - 4/3 - 2/3*j + 8/3*j**2 - 4/3*j**4 - 2/3*j**5 = 0.
-2, -1, 1
Suppose 0 = 1167*k - 1293*k + 378. Factor -72/5 - 148/5*d - 4/5*d**k - 16*d**2.
-4*(d + 1)**2*(d + 18)/5
Let g(v) be the second derivative of v**7/84 + 17*v**6/12 + 1929*v**5/40 + 5207*v**4/24 + 1681*v**3/6 - 3578*v. Solve g(s) = 0.
-41, -2, -1, 0
Suppose -88/3*o**2 + 20*o + 1/3*o**4 + 9*o**3 + 0 = 0. What is o?
-30, 0, 1, 2
Suppose -5*p = m + 8, 2*m = -m + 5*p + 16. Find b, given that -32*b**3 - 255 + 320*b**4 - 255 + 8*b - 44*b**m + 510 = 0.
-2/5, 0, 1/4
Let d be (5/2*(-36)/(-45))/1. Suppose 156*v - 23 + 9 - 448*v**d - 1 + 7 = 0. Calculate v.
1/16, 2/7
Let t = 604 + -601. Factor -10 - 5*r**t - 10*r**2 + 21 - 10 + 10*r**4 + 5*r**5 - 1.
5*r**2*(r - 1)*(r + 1)*(r + 2)
Let o be ((-5190)/(-24912))/((-10)/(-18)). Let -1/8*u**2 - o - 1/2*u = 0. Calculate u.
-3, -1
Let z(k) be the first derivative of k**6/144 + k**5/3 + 20*k**4/3 - 16*k**3/3 - k - 15. Let a(j) be the third derivative of z(j). Factor a(l).
5*(l + 8)**2/2
Let f(y) be the third derivative of -y**6/96 + 11*y**5/16 + 155*y**4/16 + 95*y**3/3 + 13*y**2 - 20. Factor f(v).
-5*(v - 38)*(v + 1)*(v + 4)/4
Let m(z) be the second derivative of 66*z + 0 + z**2 + 1/20*z**5 - 1/2*z**3 + 0*z**4. Find n such that m(n) = 0.
-2, 1
Suppose -1432 + 4249 = -10*y + 1416 + 1431. Determine j, given that -56/5*j**2 - 2/5*j**4 - 18/5*j**y - 32/5 - 72/5*j = 0.
-4, -2, -1
Let x(o) = -68*o - 437. Let m be x(6). Let g = 845 + m. Factor 3/5*t + 0 - 3/5*t**3 + g*t**2.
-3*t*(t - 1)*(t + 1)/5
Let t(s) = -9*s**2 + 166*s - 339. Let i(k) = 3*k**2 - 55*k + 114. Let y(b) = 13*i(b) + 4*t(b). Suppose y(f) = 0. Calculate f.
3, 14
Determine h, given that -2582/3*h**2 - 722/3*h**5 - 8/3 + 646/3*h**4 - 296/3*h + 2962/3*h**3 = 0.
-2, -1/19, 1, 2
Let z(b) be the third derivative of b**6/420 - 4*b**5/7 - b**4/84 + 40*b**3/7 + 1153*b**2. Factor z(o).
2*(o - 120)*(o - 1)*(o + 1)/7
Let a be (18/4)/(1/(-10)). Let o be (-99)/a + 1/(-5). Factor -20*g**4 - 11*g**3 + 36*g**o - 10*g**5 + 6*g**5 - g**3.
-4*g**2*(g - 1)*(g + 3)**2
Let a(w) be the third derivative of -w**6/1020 - 163*w**5/255 - 26569*w**4/204 - 1091*w**2. Determine d so that a(d) = 0.
-163, 0
Let -1464450 - 2255*l + 5585202 + 3*l**2 - 4777*l = 0. Calculate l.
1172
Suppose 8*m - 5*m - j - 155 = 0, 2*m - 3*j = 101. Suppose -2*w - 12 = 5*s, 2*w - m*s - 12 = -51*s. Factor -4/3*f**3 + 0*f**2 + 8/3 + w*f.
-4*(f - 2)*(f + 1)**2/3
Factor 12 + 104*u - 682*u**4 - 56 + 104*u + 678*u**4 + 44*u**3 - 152*u**2 - 52.
-4*(u - 6)*(u - 2)**2*(u - 1)
Let a be (4089/261 - 2) + 0 + 18/(-2). Factor -4/3*n**2 + 0 + 0*n + 6*n**4 - a*n**3.
2*n**2*(n - 1)*(9*n + 2)/3
Let r(h) be the second derivative of h**7/1260 - 4*h**6/45 + 64*h**5/15 + h**4/12 - 13*h**2/2 - 38*h. Let y(a) be the third derivative of r(a). Factor y(d).
2*(d - 16)**2
Let l = -3865/71 + 15531/284. Let 0*n**2 - l*n**4 + 0*n + 0 + 1/4*n**5 + 0*n**3 = 0. What is n?
0
|
{
"pile_set_name": "DM Mathematics"
}
|
2)*-3 + 3))**2)*-2.
-33722 + 432*sqrt(13)
Simplify ((6*(sqrt(99) + sqrt(99)*2) + sqrt(99) + sqrt(99)*-2*-4 + sqrt(99) + sqrt(99))/((sqrt(72) - (sqrt(72) + sqrt(72)*-3*-5 - sqrt(72)))/sqrt(8)))**2.
9251/196
Simplify ((sqrt(30)/(sqrt(20)/sqrt(2)) + 3)*4)**2 - ((sqrt(15) + sqrt(15)*-1)*2 + sqrt(15))/((sqrt(90)/sqrt(3))/sqrt(6)).
95*sqrt(3) + 192
Simplify (-6*sqrt(187)*3)/sqrt(11) - sqrt(204)/(sqrt(1200)*3).
-541*sqrt(17)/30
Simplify -6*((sqrt(308)*1)/sqrt(11)*4*4*3)**2.
-387072
Simplify ((-1*sqrt(189)/(-1*sqrt(9)))/(1*(sqrt(3) + sqrt(6)/sqrt(2)) - sqrt(108))*-4)**2.
7
Simplify -1 + sqrt(15)/sqrt(5) + (-3*sqrt(3)*1)**2 + (sqrt(42)/(sqrt(21)/sqrt(3) + sqrt(7)))/(sqrt(2)*2*4).
17*sqrt(3)/16 + 26
Simplify (2 + 3 + -5*sqrt(325)*5)**2.
-1250*sqrt(13) + 203150
Simplify -4*(6*sqrt(64))/(sqrt(882)/sqrt(9)).
-96*sqrt(2)/7
Simplify -3*((sqrt(16)/sqrt(2)*1 - sqrt(8))/(sqrt(28)/(sqrt(28)/sqrt(4) + sqrt(7))) + 0)**2.
0
Simplify -1 + 4*(sqrt(280)/sqrt(160))/(sqrt(40)/(sqrt(30)/sqrt(3))).
-1 + sqrt(7)
Simplify -2 + 6*sqrt(11)*-3 + sqrt(11) + (sqrt(176) - (sqrt(176)*3 - sqrt(176))) + -3 + 0.
-21*sqrt(11) - 5
Simplify ((6*(-1*sqrt(72) + sqrt(72))/sqrt(3))/(3*(sqrt(192) + sqrt(12))*2))**2*1.
0
Simplify -1*sqrt(75) + 5*((sqrt(48))**2 - sqrt(3)) - sqrt(300)*-1*5.
40*sqrt(3) + 240
Simplify (-4*(sqrt(99)/((sqrt(99)*5)/sqrt(11)) - (((sqrt(121) + sqrt(121)*-5 + sqrt(121))/sqrt(11) - sqrt(11)) + 5)))**2.
-672*sqrt(11) + 87616/25
Simplify ((sqrt(300) - (1 + 0 + sqrt(300)))*-1 - -4*(0 + (sqrt(300) + 0 + sqrt(300) - sqrt(300))))**2.
80*sqrt(3) + 4801
Simplify ((sqrt(18)/(sqrt(12)/sqrt(6)*1 + sqrt(2)))/(-4*sqrt(15)/(2*sqrt(5))))**2.
3/16
Simplify (5*((sqrt(156) - (3*(sqrt(156)*-1 - sqrt(156)) + sqrt(156)) - sqrt(156)) + sqrt(156)))/((sqrt(36)*-2)/sqrt(3) + -1*sqrt(1452) + sqrt(1452)).
-15*sqrt(13)
Simplify (-2*-1*sqrt(5) - ((-2 + sqrt(5))*1)**2) + (sqrt(7260) + 1*sqrt(7260))/(sqrt(12) - sqrt(48)/sqrt(36)).
-9 + 39*sqrt(5)
Simplify -5*(sqrt(36)/(sqrt(24)/(-2*sqrt(2)))*1)**2 + -4.
-64
Simplify (-1*sqrt(1216) + -2 + -3*(sqrt(1216) - sqrt(1216)*1))**2 - (sqrt(1216)*2*-6 + -5).
128*sqrt(19) + 1225
Simplify ((1*-2*sqrt(114) - (1*sqrt(114) - sqrt(114))*-4)/(-6*1*sqrt(726)))**2.
19/1089
Simplify (-5*(sqrt(143) + -4*sqrt(143)*-3))/(sqrt(66)/(6*sqrt(12)/sqrt(2))).
-390*sqrt(13)
Simplify (2 + -6*(-5 + (sqrt(343) + -2 + sqrt(343))**2))*2.
-16448 + 672*sqrt(7)
Simplify ((sqrt(112)*2*-3)/(sqrt(324)*5))**2.
112/225
Simplify (0 + -2*(1 + 3*sqrt(2057) + -1 + 4))**2.
1056*sqrt(17) + 74116
Simplify 0 + (2*((3 + sqrt(1008))*1 - sqrt(1008)))**2.
36
Simplify sqrt(1539)*-2*-2*1 - ((sqrt(133)*1)/sqrt(7) + sqrt(19) + -1*sqrt(2299)).
45*sqrt(19)
Simplify (0 + (sqrt(52)/sqrt(4) - sqrt(13))*3 - (5*(sqrt(104) + -1*sqrt(104)) + sqrt(104))/sqrt(8))**2.
13
Simplify ((1*(-1 + sqrt(153)) + sqrt(153) + (sqrt(153) - (-2 + -1*sqrt(153) + sqrt(153))))*4 + -5)**2.
-72*sqrt(17) + 22033
Simplify sqrt(84)/(-1*sqrt(12)) - sqrt(63)*2 - (3*-1*sqrt(175))**2.
-1575 - 7*sqrt(7)
Simplify ((-1 + sqrt(17))*1 + -5)**2 + (2*sqrt(102))/sqrt(6) + -5.
-10*sqrt(17) + 48
Simplify (-4*5*-3*sqrt(1008))**2*2 + -5.
7257595
Simplify (4*(sqrt(21) + sqrt(63)/sqrt(3)))/(sqrt(3)*-2*2)*-6.
12*sqrt(7)
Simplify -2*1*(0 + 3 + -2 + sqrt(19)).
-2*sqrt(19) - 2
Simplify (-1 + (sqrt(6)*-2*-2)/((sqrt(8)*2)/sqrt(4)))**2.
-4*sqrt(3) + 13
Simplify -3 + -1*((-5 + sqrt(1584) + -1 - sqrt(1584)) + (sqrt(1584) - (4 + sqrt(1584)*-2))).
-36*sqrt(11) + 7
Simplify ((sqrt(1872) + 1)*1)**2 + sqrt(104)/(-1*sqrt(288)).
143*sqrt(13)/6 + 1873
Simplify 2*(-5 + 6*-1*sqrt(832) + sqrt(832) + -6*1*(sqrt(832) + 1 + sqrt(832)))**2.
5984*sqrt(13) + 481138
Simplify 1 + (sqrt(1331) + sqrt(1331) + 1)**2 - (sqrt(44) + 0 + (sqrt(77)*2)/sqrt(7)).
40*sqrt(11) + 5326
Simplify (6*(sqrt(539) + -2*sqrt(539) + -5)*-2*6)**2.
362880*sqrt(11) + 2923776
Simplify (3 + 4 + 4 + sqrt(175) + 0)**2.
110*sqrt(7) + 296
Simplify (((sqrt(315) - sqrt(315)*1) + sqrt(315))/sqrt(5) - sqrt(63))/(sqrt(27)/(sqrt(15)/sqrt(5))).
0
Simplify ((sqrt(1280) - 1*sqrt(1280) - sqrt(1280) - sqrt(1280))*-6)/((sqrt(324) - (sqrt(324) + sqrt(324)*1))*2).
-16*sqrt(5)/3
Simplify (-4*(sqrt(5040) - -4*sqrt(5040)))/((sqrt(35) - (sqrt(1715) + sqrt(35))*3)/sqrt(5)).
240*sqrt(5)/23
Simplify (sqrt(432) - ((3*2*sqrt(432))**2 - sqrt(432))) + (sqrt(432) - -6*(1 + sqrt(432))) + 2 + (sqrt(432) + sqrt(432) + 0 + 1)**2.
-13815 + 156*sqrt(3)
Simplify ((-4 + sqrt(21)/sqrt(7))*2 - (sqrt(108) - (-3*sqrt(108) + sqrt(108)))*4)*1.
-70*sqrt(3) - 8
Simplify -5 + ((sqrt(54)/(sqrt(9) + (sqrt(45)/(-1*sqrt(5)) - sqrt(9))))/(sqrt(2) + sqrt(2) + (sqrt(8) + sqrt(128) - sqrt(2)) + sqrt(2) - sqrt(2)*-1*6))**2.
-539/108
Simplify ((sqrt(1764)*1*3 + sqrt(1764))/(sqrt(28)/(sqrt(4) + sqrt(16)/sqrt(4)) - sqrt(28)/(sqrt(4)*-1)))**2.
1792
Simplify (5 + 4*(4 + (-1 + -1 + sqrt(11) - (-3 + sqrt(11) + 0))))**2.
625
Simplify 2*(sqrt(320) + 0 + sqrt(320))**2*2*5.
25600
Simplify -5 + ((sqrt(234)/(sqrt(6) + (sqrt(6) - (sqrt(6)*-1 - sqrt(6)))))/sqrt(3) - sqrt(52)/((-1*sqrt(32))/sqrt(8))).
-5 + 5*sqrt(13)/4
Simplify -5 + 4*((sqrt(68)*-1)/sqrt(4) + -3*(sqrt(17) + 1*sqrt(17))).
-28*sqrt(17) - 5
Simplify sqrt(121)/(((sqrt(11) + sqrt(11)*2)*-5 - sqrt(11)) + sqrt(11)) - (4*sqrt(99)/sqrt(36))**2.
-44 - sqrt(11)/15
Simplify (sqrt(35)/(sqrt(35)/sqrt(7)) + sqrt(7) + (sqrt(7) - sqrt(14)/(sqrt(8)/sqrt(4) + sqrt(2) + sqrt(2))))*6.
16*sqrt(7)
Simplify (-5 + (-2*sqrt(7)*-6 - sqrt(7)) + sqrt(7) + (sqrt(448) - sqrt(448)*-1) + 5)**2.
5488
Simplify -3 + 2 + (5 + sqrt(76) + 1 + sqrt(76))**2 + (1*(0 + sqrt(76) - sqrt(76)))**2.
48*sqrt(19) + 339
Simplify ((1*(sqrt(143) - -1*sqrt(143)))/sqrt(11))**2 + sqrt(52)/(sqrt(484) + 2*sqrt(484) - sqrt(484)).
sqrt(13)/22 + 52
Simplify (sqrt(550)*1*-6)/(sqrt(33)/(2*sqrt(3)))*-3.
180*sqrt(2)
Simplify (-1 + sqrt(1100) + sqrt(1100))*2 - (3*sqrt(352)/sqrt(8))**2.
-398 + 40*sqrt(11)
Simplify 0 + 3 + (sqrt(891)*4)**2*-3 + sqrt(891).
-42765 + 9*sqrt(11)
Simplify 6*(sqrt(7) - (sqrt(567) + 0)**2) + (sqrt(35)/(sqrt(20)/sqrt(4)) - sqrt(7)) + 5.
-3397 + 6*sqrt(7)
Simplify 4*(-1 + (-3 + (sqrt(1331) - (sqrt(1331) + sqrt(1331) + 2*sqrt(1331) + sqrt(1331))) - sqrt(1331)) + 2 + -1 + sqrt(1331) + sqrt(1331)*1*-4)**2.
2112*sqrt(11) + 340772
Simplify ((-6*(sqrt(27) - sqrt(3)) - (3 + sqrt(3) + 1)) + 5)**2*3.
-78*sqrt(3) + 1524
Simplify (((sqrt(4455) - sqrt(4455)*-1) + sqrt(4455) - sqrt(4455)) + sqrt(55) + sqrt(110)/(sqrt(6)/sqrt(3)))/(-5*((-2*sqrt(55))/sqrt(5) - sqrt(11))).
4*sqrt(5)/3
Simplify 5 + 4 + 5*-1*sqrt(208) + -3.
-20*sqrt(13) + 6
Simplify ((sqrt(270)*1*3)/sqrt(10))/(-3*(sqrt(324) + (sqrt(324) - (sqrt(324)*1 - sqrt(324))))).
-sqrt(3)/12
Simplify (sqrt(152)*2*6 + 3*(sqrt(152) + sqrt(152)*2))/(((-1*sqrt(224))/sqrt(7) - sqrt(32))/sqrt(4))*3.
-63*sqrt(19)/2
Simplify ((sqrt(1377) - -6*(sqrt(1377) + sqrt(1377)*1)) + -5)**2*-4.
-930952 + 4680*sqrt(17)
Simplify (-2*sqrt(147) + 2)**2 + sqrt(24)/(3*-1*sqrt(8)).
-169*sqrt(3)/3 + 592
Simplify -2 + (4*(sqrt(1331) + (sqrt(1331) - (-1 + sqrt(1331)))) - -2*sqrt(1331)*-4).
-44*sqrt(11) + 2
Simplify (5 + (sqrt(152)*2*-4 - sqrt(152))/(2*sqrt(200)))*3.
-27*sqrt(19)/10 + 15
Simplify (-2*sqrt(756)*-2 - sqrt(756))/(sqrt(144)/(sqrt(12) + sqrt(12)*-2)).
-9*sqrt(7)
Simplify (6*sqrt(192)*-4 - sqrt(6)/(sqrt(6)/sqrt(27)))**2.
114075
Simplify ((sqrt(486) - (sqrt(486)*-2 + sqrt(486))) + sqrt(864)/sqrt(9))/(((-3*sqrt(126))/sqrt(6))/sqrt(7)).
-22*sqrt(2)/3
Simplify (sqrt(171)/(sqrt(63)/sqrt(7)) + (sqrt(228) + sqrt(228)*-2)/sqrt(12) + (sqrt(114) + (sqrt(114) - 5*(1*sqrt(114) + sqrt(114))))/(sqrt(24)*3))**2.
304/9
Simplify -1*4*sqrt(343)*-1 - ((sqrt(7) + (sqrt(7) - (sqrt(112) - (1 + sqrt(112)))))**2 - (sqrt(7) - (sqrt(175) + sqrt(175)*-2))**2)*5.
8*sqrt(7) + 1115
Simplify (5*sqrt(99) + -3 + sqrt(55)/sqrt(5) + 1 + (sqrt(11) - (sqrt(11) - (-2 + -2*sqrt(11))**2)))*2.
92 + 48*sqrt(11)
Simplify (-4 + -1 + (sqrt(252) - (sqrt(252) + sqrt(252) + -1 + sqrt(252))) + -4)**2.
192*sqrt(7) + 1072
Simplify (sqrt(3)*3 + 1 - (sqrt(3) + -5*(sqrt(3) + 2)))**2 + -5.
263 + 154*sqrt(3)
Simplify ((-1*(sqrt(8) - 1*sqrt(8)*-2))/(sqrt(12)/(sqrt(33)/sqrt(99))))**2.
2
Simplify 5*(6*2*sqrt(15)/sqrt(5) + 5).
25 + 60*sqrt(3)
Simplify (sqrt(110)/(2*sqrt(5)*-3))/(((sqrt(216) - (sqrt(216) - (sqrt(216) - -2*sqrt(216)) - sqrt(216)))/sqrt(9))/sqrt(12)).
-sqrt(11)/24
Simplify -2 + (3*1*
|
{
"pile_set_name": "DM Mathematics"
}
|
0. Calculate the remainder when p is divided by 16.
14
Suppose 2*m = -4*f + 2152, 2*f - m = 2*m + 1076. Calculate the remainder when f is divided by 77.
76
Let g be 27/6 + 3/(-2). Suppose 4*q + g = -z + 1, -5*z + 32 = -q. Let m = 78 + -61. What is the remainder when m is divided by z?
5
Let m = 0 + 0. Suppose m = 5*v, -2*v + 6*v = 2*t - 54. What is the remainder when t is divided by (24/(-20))/((-3)/35)?
13
Let v(n) = n**3 + 14*n**2 - 9*n + 11. Let f be v(-14). Let j = f - 131. What is the remainder when 21 is divided by j?
3
Suppose 0 = -13*x - 79 + 1. Let n = x + 28. Calculate the remainder when 62 is divided by n.
18
Let w = 48 - 43. Calculate the remainder when 13 is divided by w.
3
Suppose o = 8*o - 203. Let s(a) = -2*a**3 - 5*a**2 + a - 5. Calculate the remainder when s(-5) is divided by o.
28
Let s be 12120/42 + (-8)/14. Suppose -27*n + s = -25*n. Calculate the remainder when n is divided by 29.
28
Let b(r) = -10*r**3 - 7*r**2 - 8*r - 7. Calculate the remainder when 116 is divided by b(-2).
55
Suppose -152 = k - 5*d, -k + 0*d - 140 = -2*d. What is the remainder when (k/9)/(10/(-15)) is divided by 6?
4
Let z = 116 - 77. Suppose -i - 4*y + z = -3*y, y = 2*i - 69. Calculate the remainder when 140 is divided by i.
32
Suppose 3*u - 9 = 5*f + 46, 25 = 4*u + 3*f. Suppose -201 = 7*w - 10*w. Calculate the remainder when w is divided by u.
7
Let z = 139 + 79. What is the remainder when z is divided by 20?
18
Let i(b) = 3*b**2 + 17*b - 8. Calculate the remainder when i(4) is divided by 11.
9
Let u(w) be the first derivative of w**2/2 + 11*w + 1. Let q be u(-6). Suppose q*x - 154 - 356 = 0. What is the remainder when x is divided by 26?
24
Let p(i) = 3*i**2. Let a = 29 - 28. Let t be p(a). Suppose t*h + 12 = 87. What is the remainder when h is divided by 7?
4
Let s be 5/((-25)/10)*-1. Suppose -a - 296 = -p - s*p, -p = -a - 100. Let y(v) = -v**3 + v + 1. What is the remainder when p is divided by y(-3)?
23
Suppose -5*q = 5*z - 262 - 558, 0 = 2*q - 5*z - 328. What is the remainder when q is divided by 49?
17
Suppose -4*q + 7 = -4*g + 67, -2*g + 4*q = -36. Suppose -130*z = 95*z - 1575. Calculate the remainder when g is divided by z.
5
Let a(g) = -g**3 + 7*g**2 + 10*g - 10. Let d be a(8). Let i = d - -3. Let m(q) = 6*q**2 + 3*q - 3. What is the remainder when m(-2) is divided by i?
6
Let p(x) = 14*x - 574. What is the remainder when p(46) is divided by ((-2)/3)/(2/(-36))?
10
Suppose 2882 + 3170 = 34*i. Calculate the remainder when i is divided by 20.
18
Let t = 7 + -2. Suppose 4*m - 5*l - 134 = 0, 4*m = m + t*l + 98. Let z(v) = -v**2 - 23*v - 71. Calculate the remainder when m is divided by z(-5).
17
Calculate the remainder when 3*1 - ((-35)/(-7) - 460) is divided by 21.
17
Let l = -54 + 73. Suppose 27 - 76 = -4*j - 5*b, 3*j - 38 = -5*b. What is the remainder when l is divided by j?
8
Suppose v = 4*w - 33, -w + 3*w + 8 = 0. Let u = v - -112. Let x = -680 - -702. Calculate the remainder when u is divided by x.
19
Let p(k) = -k + 12. Suppose -q = 3*q + 40. Let b be 4/(-5)*75/q. Calculate the remainder when 15 is divided by p(b).
3
Let n(h) = -h**3 + 6*h**2 + 9*h - 1. Let o be n(6). Let p = 114 - o. Calculate the remainder when p is divided by 21.
19
Let o be (8560/24)/(2/(-6)). Calculate the remainder when o/(-12) + 7/(-6) + 1 is divided by 45.
44
Let p(n) = 1. Let g(u) = u**2 + 3*u - 11. Let h(d) = g(d) + p(d). Calculate the remainder when h(-6) is divided by 4.
0
What is the remainder when 473 is divided by (-3)/12 - (-2 + 210/(-8))?
25
Suppose -338 = -3*u + 289. What is the remainder when u is divided by 83?
43
Suppose 4*d + 5*k - 46 = 0, -5*d + 11*k + 47 = 12*k. Suppose -5 = -f + 14. Suppose 4*l - 49 = f. What is the remainder when l is divided by d?
8
Suppose 67 = 3*q + 4*x, 26*x - 31*x + 33 = 2*q. What is the remainder when q is divided by 8?
5
Suppose -7*l + 9*l = -92. Let i = l - -88. Suppose 0 = -0*d - d + 5*p - 9, 5*d = 5*p + 35. Calculate the remainder when i is divided by d.
9
Let v = -6 + 10. Suppose -2*y + w = -44, 4*w = v*y + 9*w - 74. Calculate the remainder when y is divided by 5.
1
Let l(q) = -27*q**2 - 219*q - 4. What is the remainder when 3277 is divided by l(-8)?
17
Let o = -325 + 339. What is the remainder when 66 is divided by o?
10
Calculate the remainder when 32 is divided by (-6)/9 + 0 + (-476)/(-21).
10
Let s = 432 - 230. Suppose s = 3*x + 22. Calculate the remainder when x is divided by 16.
12
Suppose 0 = -p - 2 + 15. Suppose -4*n + p + 15 = 0. Calculate the remainder when 48 is divided by n.
6
What is the remainder when 136 is divided by 11 + (-3 - 8) - (0 + -36)?
28
Let m(n) = 2*n - 2. Calculate the remainder when 176/(-132) + (-386)/(-6) is divided by m(12).
19
Suppose -2*q + 21 + 3 = -4*t, 5*q - 48 = -2*t. Calculate the remainder when 538 is divided by q.
8
Let a = 19 - 20. Calculate the remainder when 85/10 - a/(-2) is divided by 2.
0
Let r = -314 + 378. Calculate the remainder when r is divided by 14.
8
Let w(p) = 40*p - 416. Calculate the remainder when w(27) is divided by 23.
20
Let n = 315 - 313. Let p(y) = y**2 + 5*y + 4. Calculate the remainder when p(-5) is divided by n.
0
Suppose 3*a = -2*i + 83, 3*i = -5*a - 2*i + 135. What is the remainder when a is divided by 4/(-22) + 1701/99?
12
Suppose 347 = 2*u - 2*a - 135, 3*u + 4*a - 709 = 0. Calculate the remainder when u is divided by 65.
44
Suppose -26*b - 36*b + 930 = 0. Calculate the remainder when 16 is divided by b.
1
Suppose c - 85 = -5*r, 3*c = 2*r + 16 + 239. What is the remainder when 240 is divided by c?
70
Suppose 28 = 2*h - 32. Calculate the remainder when (-584)/(-10) - (-1 + (-4)/(-10)) is divided by h.
29
Suppose 4*l - 15 = 5. Suppose 2 + 38 = l*j. Calculate the remainder when j is divided by 3.
2
Let r(t) = -t**2 - t + 153. Suppose -5*u + 16 = -4*u. Calculate the remainder when r(-10) is divided by u.
15
Suppose -3*h - 126 = 2*d, 2*h = -5*d - 2*h - 301. Let m = -186 - -266. Let i = m + d. Calculate the remainder when 45 is divided by i.
22
Let b be (2 - (-22)/(-8))/((-3)/8). Suppose 0 = -b*h + 357 - 89. Calculate the remainder when h is divided by 27.
26
Let g = -1751 - -1783. Calculate the remainder when 155 is divided by g.
27
Calculate the remainder when 5198/34 + (-60)/(-510) is divided by 30.
3
Suppose 2*v - 2*c = 48, 0 = -3*c + 1 - 13. Let h be ((-9)/6)/((-15)/v). Suppose -h*l - 51 = -5*l. What is the remainder when 28 is divided by l?
11
Suppose 5*q + k = 451, -4*q + 97 = -k - 271. What is the remainder when q is divided by 38?
15
Let o = -128 - -148. What is the remainder when 4 is divided by 2 + 5/o*0?
0
Let s = 517 - 471. What is the remainder when 88 is divided by s?
42
Let w be (-5 - -9) + 1 + (-32 - 1). Calculate the remainder when (-15)/6*(w - -2) is divided by 33.
32
Suppose 5*n = 17*n - 600. What is the remainder when 153 is divided by n?
3
Let o(l) = 25*l**2 - l - 1. Let i(f) = -f**2 + 16*f - 19. What is the remainder when o(-2) is divided by i(11)?
29
Let o be 128/5 + (-2)/(-5). Suppose -o = -4*j + 46. Let p = 79 + -44. What is the remainder when p is divided by j?
17
Let h = 27 - 8. What is the remainder when 6923/46 + 2/(-4) is divided by h?
17
Let c = -3459 - -3496. Let j(o) = 3*o - 4. Calculate the remainder when c is divided by j(5).
4
Suppose -121*w + 146*w - 2375 = 0. What is the remainder when w is divided by -3 - -17*(-1)/(-1)?
11
What is the remainder when 66 - (2 + (-12 - -8)) is divided by 47?
21
Let n = 119 + -71. Suppose -3*r + r = -n. Let q = r + -10. What is the remainder when 25 is divided by q?
11
What is the remainder when 141 is divided by (-79 + 34)*(8/5 - 2)?
15
Let t(k) = k**2 + 4*k - 114. What is the remainder when 236 is divided by t(-16)?
2
What is the remainder when 134 is divided by ((-1566)/(-145))/((-3)/5 + 1)?
26
Let r be 4/24 + 70/12. Suppose -4*j - 16 = -r*j. What is the remainder when j is divided by 4?
0
Suppose 4*p + 36 = 4*s, -p + 7 + 0 = 3*s. Let x = p - -36. Suppose -3*m + 44 = m. Calculate the remainder when x is divided by m.
9
Let b = -57 + -32. Let f = b - -126. Calculate the remainder when f is divided by 19.
18
Suppose -2*i + 37 = -47. Let y(k) = -k**3 + 6*k**2 + 7*k + 5. Let o be y(7). Suppose o*t - 16 - 29 = 0. Calculate the remainder when i is divided by t.
6
Suppose -r - 9 = -0. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
pose g*d = 12 + 123. What is the tens digit of d?
2
Let l = 0 + 1. Let c be 3*(-1)/(-1)*l. Suppose 0 = c*s - 0*s - 72. What is the units digit of s?
4
Let l = -358 - -142. Let i = 126 + l. Let p = i - -153. What is the tens digit of p?
6
Suppose 0 = 3*s - p - 726, -s - 7*p = -4*p - 242. What is the units digit of s?
2
Let a = 1940 + -1355. What is the hundreds digit of a?
5
Let t(j) = -55*j + j**2 + 20*j + 22*j + 21*j. What is the units digit of t(-18)?
0
Let q be 559/4 + 6/(-8). Let m = -10 + q. What is the units digit of m?
9
Let c(i) = -i**3 - 18*i**2 + 22*i + 64. Let h be c(-19). Suppose 22 = 4*q - 3*j, -13 = q - 2*q - 3*j. What is the tens digit of q/(h/4) - -25?
2
Let z(v) = -2*v**3 - v**2 - v + 17. What is the hundreds digit of z(-7)?
6
Let u be (-3)/(-8) + 52/32. What is the tens digit of (2 - 15)/(0 + u/(-30))?
9
Let x = 4459 - 2557. What is the tens digit of x?
0
Suppose -23*b + 2733 = -22*b. Suppose -12*h - 897 + b = 0. What is the tens digit of h?
5
What is the tens digit of 6531/105 - (-2)/(-10)?
6
Let r be -109 + 4/(-1 - (4 - 6)). What is the units digit of 187/5 + (-14)/r*-3?
7
Let r = 100 - -349. Let n = 637 - r. What is the units digit of n?
8
Suppose 0 = 20*p + 150 + 30. Suppose 20 = -5*b, -4*b + 28 = x + 3*x. What is the units digit of (x/(-3))/(3/p)?
1
Let y = 280 - 246. What is the units digit of y?
4
Suppose 2*g - 11 = g - 5*d, 44 = 4*g + 2*d. Suppose -3*x + 2*c = -5*x + 2, 5 = x - c. Suppose 2*b + 2 - g = 5*m, x*m + 1 = -b. What is the units digit of b?
2
Let f(u) = u**2 + 8*u + 9. Let j be f(-6). Let v be ((-10)/(-6))/((-1)/j). Suppose q - 27 = -v*b, -5*q + 2*b - 10 = -2*b. What is the units digit of q?
2
Suppose -4235 = 124*x - 129*x. What is the tens digit of x?
4
What is the hundreds digit of 18/12 - 3099/(-6)?
5
Suppose 3 = -3*g - 12, 3*g = 3*y - 21. Suppose 0 = y*b - 3*b - 4*a + 34, 2*a + 154 = 4*b. What is the units digit of b?
8
Suppose 0 = -2*x - 106 - 60. Let a = x + 135. What is the tens digit of a?
5
Let k(u) = -u**3 - 12*u**2 + 13*u - 2. Let c be k(-13). Suppose -5*p + 33 = 163. What is the tens digit of (c - -5 - p)*1?
2
Suppose -38*w + 37*w + 7 = 0. Let h(k) = k**2 - 3*k + 14. What is the units digit of h(w)?
2
Let c = 16 + -10. Let h(m) = m**2 + 1. Let d be h(c). What is the tens digit of -2 + d + 2/2?
3
Let h be 6/9*-3*(2 + -3). Suppose 4*x + 4*l - 236 = 116, -h*x + 166 = 4*l. What is the tens digit of x?
9
Let y(u) = -58*u + 473. What is the hundreds digit of y(-8)?
9
Let m(a) be the second derivative of a**3/6 + 9*a**2 + a. What is the tens digit of m(8)?
2
Let p = 35 - -2. Let s = p - -29. What is the units digit of s?
6
Let s(i) = -78*i + 153. What is the units digit of s(-11)?
1
Let g = -370 - -262. What is the units digit of (4/12)/((-4)/g)?
9
Let d = -51 - -57. Suppose 0 = 5*s - d*s + 121. What is the hundreds digit of s?
1
Let h(x) = 470*x**3 - 5*x**2 + 17*x - 3. What is the units digit of h(2)?
1
Suppose -50*p + 48*p + 3727 = -d, -3*p + 5598 = -3*d. What is the hundreds digit of p?
8
What is the hundreds digit of ((-21384)/(-36))/(1 + 1)?
2
Suppose 5*k + 384 = r, -5*r + 5*k - 6*k + 1998 = 0. What is the tens digit of r?
9
Suppose -5*c - 3*s = 1, s - 3*s = -4*c - 14. What is the tens digit of (-55)/c + 2/4?
2
Suppose -6*u = -962 - 2062. What is the hundreds digit of u?
5
Suppose -3*w - 4*n + 6 = -0*w, 5*w - 10 = -n. Let y = 32 + 41. Suppose -k + y + 5 = 3*a, -3*k + 52 = w*a. What is the units digit of a?
6
Suppose -8*y - 43 - 5 = 0. Let n be 1 + -15 + 0 + 2. Let g = y - n. What is the units digit of g?
6
Let t(j) = 6*j**3 + 2*j**2 - 2*j - 3. What is the units digit of t(3)?
1
Suppose -5567 = 21*y - 40*y. What is the hundreds digit of y?
2
Let k(m) = m + 11. Let x = -34 - 256. Let n be x/(-30) + (-2)/(-6). What is the tens digit of k(n)?
2
What is the hundreds digit of -11*(-642)/9 + 12/(-18)?
7
Let f = -12 - -7. Let v(h) be the third derivative of h**6/120 + 2*h**5/15 + h**4/8 + h**3/6 + 70*h**2 + 3*h. What is the tens digit of v(f)?
6
Let h be 4/(-2)*(7 + -8). Suppose -h*c + 6*c = 84. Suppose 3*u + c = 75. What is the units digit of u?
8
Suppose 0 = -3*w - 3*z + 12, 0 = -4*w - 0*w - 2*z + 12. Suppose -w*f - 14 = -3*f. What is the units digit of (-133)/(-49) + 4/f?
3
Let z be (-184)/(-24) + 1/3. Let d = z - 6. What is the units digit of 79/9 + d/9?
9
Let j = -25 + 48. Suppose u - j - 6 = 0. What is the tens digit of u?
2
Let s(l) = -175*l + 19. What is the hundreds digit of s(-2)?
3
Let o(t) = -9*t + 2. Let y(a) = -4*a + 2. Let s be y(2). What is the tens digit of o(s)?
5
Let t be 42*(12/(-9))/(-4). Let j = 6 + t. Let a = j - 9. What is the tens digit of a?
1
Suppose -3*z - 2*b - 370 = 0, 558 = -5*z - 4*b - 56. Let w = 194 + z. What is the units digit of w?
8
Let x(w) be the second derivative of -w**3/2 - 27*w**2/2 + 13*w. What is the units digit of x(-12)?
9
Suppose 3*t = x + 12 + 2, 4*x + 56 = -3*t. Let f be (-60)/x - (-4)/(-14). Suppose -f*p = p - 145. What is the tens digit of p?
2
Suppose 0 = 14*i + 19*i - 6105. What is the hundreds digit of i?
1
What is the tens digit of 2509 + -75 - ((-3)/(-1) - -2)?
2
Suppose 43*t + 1516 = 45*t. What is the hundreds digit of t?
7
Let w(m) be the first derivative of 23*m**2/2 + 12*m + 18. What is the tens digit of w(2)?
5
Let j(a) = 6*a + 9. Let f be j(7). Suppose n = -0*n + f. Let z = n + -19. What is the tens digit of z?
3
Let b(t) = 2*t**2 + 9*t - 8. Let y be b(-7). What is the units digit of (-36)/y - 554/(-6)?
1
Suppose 0 = -6*n + 1410 + 1002. What is the hundreds digit of n?
4
Let t(j) = -j - 18. Let u be t(-23). Suppose -u*v - 226 = -3*i, 5*v - 82 = i - 2*i. What is the units digit of i?
7
What is the hundreds digit of 227 - (4 - 6)*(-10)/4?
2
Let i = -96 + 596. What is the hundreds digit of i?
5
Suppose 16*d = 36*d - 28460. What is the units digit of d?
3
Suppose 13*m - 3901 = 2222. What is the tens digit of m?
7
Let i = -40 + 26. Let k = 1 - i. Let w = 20 - k. What is the units digit of w?
5
Let j(g) = 9 + 21*g - 17*g**2 + 7*g**2 + 11*g**2. What is the tens digit of j(-22)?
3
Let u(x) = x - 13. Let c be u(17). Suppose 4*i + 74 = 2*l, -c*i = -l + 8 + 25. What is the units digit of l?
1
Let z(g) = -g**2 - 6*g - 4. Let h be z(-4). Let i be (1 - -4)*(3 + -2). Suppose -2*r - 5*c + 71 = 0, -h*r + 185 = i*c + 38. What is the units digit of r?
8
Suppose 0 = 8*k - 13*k + 5185. What is the units digit of k?
7
Let v(i) = -i**3 + 19*i**2 - 57*i + 11. What is the units digit of v(15)?
6
Let v(x) be the first derivative of -3*x**2 + 2*x - 1. What is the units digit of v(-6)?
8
Let m = 9 - 4. Suppose -m*k = -k + 52. What is the units digit of (14 + k)*(-56)/(-1)?
6
Let i(x) be the second derivative of -x**5/20 + 5*x**4/4 - 8*x**3/3 - 21*x**2/2 + 11*x. What is the hundreds digit of i(13)?
1
Let x(n) = 17*n**2 - n + 1. Let t be x(1). Suppose -95 + 11 = -7*a. Let v = t - a. What is the units digit of v?
5
Let c(i) = -36*i + i**2 - 3 + 36*i. Let n = -10 - -5. What is the units digit of c(n)?
2
Let l = 0 + 1. Let u be (l/3)/(3/(-981)). Let n = -72 - u. What is the tens digit of n?
3
Let s = 12 + 48. Suppose 26 + s = g. What is the tens digit of g?
8
Let v be 12/(-6) - 6*1. Let o be 1 + v + (-2 - -5). Let l = o + 53. What is the units digit of l?
9
Let x = -4 - -8. Suppose -5*d = 3*a - 225, 0 = -x*a + a. Suppose -6*v + d = -3*v - 3*c, -61 = -3*v - 5*c. What is the tens digit of v?
1
Let p(g) = g**3 - 5*g**2 + 5*g - 4. Let w be p(6). Let v be -1*(w/(-2) - -2). Suppose a - v = -2*s, a = -4*a + 5*s + 100. What is the units digit of a?
3
Let y = 51 - 19. Let c = y - 17. What is the units digit of 15 + c + 0/1?
0
Let f = -419 + 536. What is the hundreds digit of f?
1
Let h be 6/(-9) + ((-8684)/(-6))/(-1). Suppose 0 = -3*q - 20 - 1. What is the units digit of h/(-28) + (-2)/q?
2
What is the thousands digit of (2 - 1)/((-40)/(-57520))?
1
Suppose -26*r + 16742 = -30292. What is the thousands digit of r?
1
Let i be 7896/132 + (-4)/(-22). Suppose 0 = d - i + 20. What is the units digit of d?
0
Let g(n) = -2*n**3 - 20*n**2 - 21*n + 42. What is the units digit of g(-13)?
9
Suppose -p - 3*p = 0. Suppose p = -7*a + a + 336. What is the units digit of a?
6
Let i be ((-2)/6)/((-4)/72). Let j be 16/10 - i/(-15). What is the tens digit of 29 + (-2 + 1 - j)?
2
Let c(d) = -d**2 - 7*
|
{
"pile_set_name": "DM Mathematics"
}
|
Round o to the nearest 10.
230
Let q = 2359212 + 666627. Let l = 1340839 - q. What is l rounded to the nearest 100000?
-1700000
Let y = -87.5 + 65. Let g = 103.5 - y. Let j = 125.99998816 - g. Round j to 6 dps.
-0.000012
Let y = 130972278 - 130972308.2000205. Let z = y - -30.2. What is z rounded to 5 decimal places?
-0.00002
Suppose 0 = -0*u + 2*u + 3742. Let m(q) = -2*q**3 + 144*q**2 + 54*q + 83. Let s be m(72). Let h = s + u. Round h to the nearest 10000.
0
Let w = -1359.5 + 1359.49966832. What is w rounded to 4 decimal places?
-0.0003
Let j = 5429.73 + 270.17. What is j rounded to the nearest 1000?
6000
Suppose 23*a - 62 = -16. Suppose 18*y + 5*p + 2166 = 14*y, 1074 = -2*y + a*p. What is y rounded to the nearest 100?
-500
Let g = -13347 + 13369.684. Round g to 1 dp.
22.7
Let n = -1117.021 + 1113.5. What is n rounded to 0 dps?
-4
Let c(r) = -49624*r - 21802*r - 17 + 29 + 3929*r. Let n = 67 + -71. Let d be c(n). Round d to the nearest 100000.
300000
Let b = 1.1218 + -1.1203886. Round b to 5 dps.
0.00141
Suppose -4*i = -4*m - 2*i - 4688388, 5*m + 5*i = -5860530. What is m rounded to the nearest one hundred thousand?
-1200000
Let d(q) = 181*q - 25. Let z be d(1). Suppose -z = -3*p + 6*p - 4*x, 39 = -p - 3*x. What is p rounded to the nearest 10?
-50
Let k = 2.8999 - -102.3641. Let b = k + -0.664. What is b rounded to the nearest ten?
100
Let r = -28908 - -28122.3. Round r to the nearest 10.
-790
Let n(c) = -814*c**3 + 5*c**2 + 7*c - 62. Let g = -310 - -284. Let d be n(g). Round d to the nearest 1000000.
14000000
Let v be (-5 - -3 - 1) + 2 + -44450907. Let a = v + 84950905. Suppose a = -5*x - s, 2*x + 5*s + 16199988 = s. Round x to the nearest 1000000.
-8000000
Let c = -474.736307 - 0.047693. Let j = -473 - c. Let m = j + 0.096. What is m rounded to 0 decimal places?
2
Let u = 0.1736 - 17.9811. Let b = -18.52777 - u. Let i = 0.72 + b. Round i to 4 decimal places.
-0.0003
Let g = -0.05895 + 399.75895. Let t = g - 331. Round t to zero decimal places.
69
Suppose 32248201 = u + 3*b - 11247417, -2*u - b = -86991211. Let h = -19395603 + u. What is h rounded to the nearest 1000000?
24000000
Let a = -42.23631 - 1.45689. Let h = a - -43.6. What is h rounded to two dps?
-0.09
Let l = 0.141 + -796.141. Let a = l + 1323. Let h = a + -526.9999198. What is h rounded to five dps?
0.00008
Let n = -24481 - -22489.7. Let x = -2113 - n. What is x rounded to the nearest ten?
-120
Let a = -838 - -1108. Let y = 0.10627 + 272.96373. Let g = a - y. Round g to 1 decimal place.
-3.1
Let s = -77.384 - -77. Let g = -0.47 - s. Let b = -0.08600154 - g. Round b to 7 decimal places.
-0.0000015
Let n = 1580 - 1579.99998831. Round n to 7 decimal places.
0.0000117
Let d be 2 + 72/(-3)*-1 + -2. Suppose 12059994 = -3*s + 22*l - d*l, 4*s + 16079988 = -4*l. What is s rounded to the nearest 1000000?
-4000000
Suppose -25*h + 7*h = 0. Let p(t) = t**3 + 2*t**2 + 3*t - 242000. Let j be p(h). Round j to the nearest one hundred thousand.
-200000
Let j = -4.164 + 140.804. What is j rounded to 0 decimal places?
137
Let i = -3269.5 + 2600. Let z = i - -404. What is z rounded to the nearest 10?
-270
Let i = -5.21 + -215.79. Let h = 221.0169 + i. Round h to three dps.
0.017
Let c = -135.941 - -136. Let y = 0.073 - c. Let b = -0.01397 + y. What is b rounded to five decimal places?
0.00003
Let q = -0.0653 + 90.0653. Let m = q - 90.183. What is m rounded to two dps?
-0.18
Suppose -3*r = -m - 3, -4*m - r + 16 = r. Suppose c = m*c - 134150. Let t = 190075 - c. What is t rounded to the nearest ten thousand?
120000
Suppose -2*h - 152 = 2*r, 3*h - 146 = 3*r + 88. Let m be r - -74 - (-3)/(6/(-4899994)). Round m to the nearest one hundred thousand.
-2500000
Let d = -15313.77858 - 16.69142. Let q = d - -15288.47235. Let f = q - -42. What is f rounded to four decimal places?
0.0024
Let b = 89897 + -41575. Round b to the nearest 1000.
48000
Let g = 6.32 + -10.012. What is g rounded to two decimal places?
-3.69
Let w = -0.10182 - -0.10168006. Round w to 5 dps.
-0.00014
Let l = 5.2203 - 0.0003. Let z = l - 5.22395. Round z to 4 decimal places.
-0.004
Let t = -92 - -92.039. Let g = -2941.038825 - -2941. Let s = g + t. What is s rounded to five dps?
0.00018
Let y = -11.5 + 428.5. Let d = 360.4 - y. What is d rounded to the nearest integer?
-57
Let q be -5 + (-5 - -18) + 6632992. Round q to the nearest 100000.
6600000
Let z(v) = 7105*v**2 + 8*v - 10. Let p be z(4). Suppose 2*w + p = -3*j, 56717 = 5*j + 4*w + 246221. What is j rounded to the nearest 1000?
-38000
Suppose 11 = 2*j + 11. Suppose -20*t + 14*t - 147420 = j. Round t to the nearest 1000.
-25000
Suppose 2*v + 3351474 = 16*v. Suppose q - 3*o - v - 63615 = 0, -4*q - 5*o + 1211990 = 0. Round q to the nearest ten thousand.
300000
Let u = -5850 - -11000. Suppose 3*k = -4*h - 15431, 6*h - h - u = k. Let q = k - -1475. What is q rounded to the nearest 100?
-3700
Suppose 2*v - 4 = -5*o - 5, 5*v + 2*o = 8. Suppose -v*s + 7*s = j + 16100015, -s - 32199997 = 2*j. What is j rounded to the nearest one million?
-16000000
Let q = -1.33 + -15.64. Let r = q - -19.3. Round r to zero decimal places.
2
Let i(d) = 2936*d**3 + d - 5. Let t be 0 - (2/8 + 21/(-4)). Let z be i(t). What is z rounded to the nearest 10000?
370000
Let c = 0.54761 - -4.58859. What is c rounded to one decimal place?
5.1
Let o(h) = -147221*h**2 - 133 - 11 + 5*h - 30*h + 11*h. Let l be o(18). Round l to the nearest 1000000.
-48000000
Let c = -15 - -29. Let q = c - 13.1. Round q to 0 dps.
1
Let t be (-3 + 6)/(6/(-8)) - -7. Suppose 2*l = 2*h + 44, -t*l + 8*l - 4*h - 115 = 0. Let o be (6/5)/(l/90) - 49. Round o to the nearest 10.
-50
Let o = 1.6703 - 1.76441. Round o to two dps.
-0.09
Let v = 17238 - 16968.32. What is v rounded to the nearest one hundred?
300
Let v = -50500595 + 11077392. Let i = 39423198.6999902 + v. Let h = i - -4.3. What is h rounded to six dps?
-0.00001
Let j = 2856.2 + -2856.271093. What is j rounded to three dps?
-0.071
Let q = 230 + -227.42. Let y = 6.74 - q. What is y rounded to 1 dp?
4.2
Let x = -6.588 - 1777.612. Round x to the nearest one hundred.
-1800
Let z = -14.3 + 20. Let n = 35 + z. What is n rounded to the nearest ten?
40
Let w = 0.067 - 13.767. Let f = w + -0.3. Let q = 15.96 + f. Round q to one dp.
2
Let y = 1144 - 1136.43. Let l = 7.593 - y. Round l to two dps.
0.02
Let s = 8.574 - 8.64089. Round s to two dps.
-0.07
Suppose 105*c - 14*c + 12921807 + 302495 = 0. What is c rounded to the nearest one thousand?
-145000
Let h = -974.25289474 - -954.8128946397. Let r = h + 19.44. Round r to seven decimal places.
-0.0000001
Let j = -173.764077159 + 173.764. What is j rounded to 5 decimal places?
-0.00008
Let s = -22677 - -22676.999997294. Round s to 6 decimal places.
-0.000003
Let n = 11731.2612 + -11736. Round n to zero decimal places.
-5
Let f = 26.9973931 + -27. What is f rounded to four decimal places?
-0.0026
Let j = 6304.283207 + -6654.28317. Let k = -350 - j. What is k rounded to 6 dps?
-0.000037
Let l(r) = -39764*r + 18845*r - 13 - 80338*r - 130018*r. Let b be l(-3). Suppose -b + 157812 = -4*f. What is f rounded to the nearest ten thousand?
130000
Let v(s) = 8*s - 9. Let y(h) = h. Let b(j) = -3*v(j) + 15*y(j). Let m be b(-22). Let q be m + (0/3)/3. What is q rounded to the nearest 10?
230
Let v = 5147.9 + -4906. Let d = -610 + 868. Let a = d - v. Round a to 0 decimal places.
16
Let k(f) = 477*f**2 - 8*f - 5. Let o be k(-6). Let c be 60/4*(-5 - (-16056)/(-6)). Let y = o + c. What is y rounded to the nearest ten thousand?
-20000
Suppose -10*d - 5622536 = -6*d. Let s = 654366 - d. What is s rounded to the nearest one hundred thousand?
2100000
Suppose -2*b = -5*p + 17, -b + 4 = -5*b + 4*p. Let r be (-15198870)/b*(-20)/30. Let t = r - 4333145. What is t rounded to the nearest 1000000?
-2000000
Let g = 15335 + -15313.473. Let b = -0.073 - g. Let x = 29 + b. What is x rounded to the nearest integer?
7
Let g = 2752028 + -2746184.5384. Let n = -5856.3615524 + g. Let d = 12.9 + n. What is d rounded to six dps?
0.000048
Let b = 47.85 + -50. Let p = -3.83 - b. What is p rounded to one dp?
-1.7
Let w = -20.961 + 20.961030678. Round w to five decimal places.
0.00003
Let q = -28.014 + 0.014. Let k = -55 + q. Let b = k + 82.891. Round b to 2 dps.
-0.11
Let t = -23 - -216. Let h =
|
{
"pile_set_name": "DM Mathematics"
}
|
*t. What is -3*h(u) - 5*x(u)?
2*u**2
Let c(g) = g**2 + g + 1. Suppose 2 = -2*q - i, 5*i - 3*i + 10 = 2*q. Let d(t) = 7*t**3 - t - 1. What is q*d(n) + c(n)?
7*n**3 + n**2
Let j(a) = 2*a**2 + 12*a + 91. Let h(x) = -2*x**2 - 14*x - 90. Determine 5*h(f) + 6*j(f).
2*f**2 + 2*f + 96
Let m(k) = -7*k + 5. Let y(b) = -12*b + 4. Let r(d) = 51*d - 16. Let z(q) = 2*r(q) + 9*y(q). Calculate 5*m(c) - 6*z(c).
c + 1
Let y(o) = -o**3 + 4*o**2 + 2. Let c(b) = -2*b**2 + b. Let i(f) = 4*c(f) + y(f). Let m(u) = -u**3 - 5*u**2 + 4*u + 3. What is -5*i(a) + 4*m(a)?
a**3 - 4*a + 2
Let d(j) = 667*j - 9. Let s(m) = -2*m - 3. What is d(x) - 3*s(x)?
673*x
Let c(t) = t**2 - 3*t - 4. Let d(m) = -14*m + 7. Let r(l) = 3*l - 1. Let k(z) = d(z) + 5*r(z). What is -2*c(g) - 5*k(g)?
-2*g**2 + g - 2
Let h(r) = 2*r**2 + 15*r - 7. Let a(w) = -w**2 - 8*w + 4. Suppose -2*k - 29 = -s + 4*s, -5*s = k + 39. Calculate s*a(c) - 4*h(c).
-c**2 - 4*c
Let u = -5 - 0. Let t(d) = -1 - d**2 - 181213*d**3 + 181220*d**3 + 1. Let o(j) = 6*j**3 - j**2. Give u*t(f) + 6*o(f).
f**3 - f**2
Let y(g) = 5*g + 1. Let f(c) = 2*c. Suppose 0 = -3*k - m + 19, 3*k - 1 = -5*m - 2. Suppose 4 = -2*v - k. Calculate v*f(d) + 2*y(d).
-2*d + 2
Let h(d) = -d + 1. Let j(r) be the first derivative of 3*r**2/2 - 6*r + 4. Give 18*h(c) + 3*j(c).
-9*c
Let i = -78 - -78. Suppose k + 0*k - 6 = i. Let y(m) = 8*m - 9. Let w(d) = -7*d + 8. Determine k*y(f) + 7*w(f).
-f + 2
Let i(y) = -10*y**3 + 3*y**2 + 3*y + 3. Let b = -89 - -85. Let a(u) = -11*u**3 + 4*u**2 + 4*u + 4. Calculate b*i(h) + 3*a(h).
7*h**3
Let n(p) be the first derivative of 799*p**3/3 + 119*p**2/2 + 119*p + 506. Let y(g) = -20*g**2 - 3*g - 3. Determine -3*n(x) - 119*y(x).
-17*x**2
Let a = -23 - -21. Let q(k) = -k - 1. Let g(f) = -5*f - 3. Give a*g(w) + 6*q(w).
4*w
Let d(u) = -u**3 + u**2 + u. Let b(c) = -120*c**3 + 110*c**2 + 110*c. What is 4*b(q) - 440*d(q)?
-40*q**3
Let z(g) = -6*g**3 - 4*g**2 - 4*g - 3. Let v(o) = 7*o - 110 + 7*o**2 + 11*o**3 - 101 + 216. Determine -4*v(c) - 7*z(c).
-2*c**3 + 1
Let z(f) = -6*f - 21. Let l be (-19 + 23)/((-8)/(-6)). Let d(m) = 1. Calculate l*z(j) + 63*d(j).
-18*j
Let i be (-4 + (-126)/(-28))/(1/(-10)). Let y(b) = 4*b**3 + 3*b**2 + 15*b + 3. Let r(p) = 7*p**3 + 5*p**2 + 29*p + 5. Determine i*y(s) + 3*r(s).
s**3 + 12*s
Let u(z) = z**2 + z - 1. Let g(o) = -8*o**2 - 6*o + 3. Let j(r) = g(r) + 6*u(r). Let s(a) = a**2 + 2. Determine 4*j(d) + 6*s(d).
-2*d**2
Let s(x) = -6*x**3 + 8*x**2 + 11*x + 7. Let u(g) = -5*g**3 + 7*g - 1. Let b(q) = -4*q**3 + q**2 + 6*q. Let o(d) = 3*b(d) - 2*u(d). Determine -8*o(l) + 3*s(l).
-2*l**3 + l + 5
Let q(k) = 10*k**3 - 11*k**2 + 43*k. Let i(z) = 23*z**3 - 23*z**2 + 85*z. What is -3*i(p) + 7*q(p)?
p**3 - 8*p**2 + 46*p
Let m(v) = -6*v**3 + 16*v**2 - 3*v + 6. Let z(a) = -13*a**3 + 31*a**2 - 7*a + 14. Determine -7*m(q) + 3*z(q).
3*q**3 - 19*q**2
Let t(k) = -506*k**3 + 2277*k**2 + 759*k - 759. Let n(w) = -w**3 + 3*w**2 + w - 1. Determine -759*n(x) + t(x).
253*x**3
Suppose -3*n = 3*j + 36, j + 4*n - 71 = 4*j. Let b(u) be the first derivative of -7*u**2/2 + 8*u - 3. Let q(a) = 20*a - 23. Determine j*b(r) - 6*q(r).
-r + 2
Let c = 19 - 11. Suppose -a + c = 5. Let h(y) = -y + 4 - a + 2*y. Let g(x) = -4*x - 1. Determine -g(o) - 2*h(o).
2*o - 1
Let x(j) = -3*j**3 + 12*j**2 + 12*j. Let c(i) = i + i**2 - 2*i**2 - 2*i. Suppose -4*f + 14 = 2*b, -2*b - 2*f + 31 = 25. What is b*x(t) - 12*c(t)?
3*t**3
Let i(g) = 7 - g + 17*g - 5*g. Let y = -1789 - -1795. Let t(h) = -5*h - 3. Give y*i(p) + 14*t(p).
-4*p
Let v(z) = -47*z**2 - 4*z + 28. Let f(x) = -16*x**2 - x + 9. Calculate -7*f(y) + 2*v(y).
18*y**2 - y - 7
Let z(b) = 4*b - 2. Let f = 1017 + -1015. Let q(s) = 8*s - 4. Determine f*q(r) - 5*z(r).
-4*r + 2
Let v(p) = -p - 1. Let m(u) = -4*u - 8*u**2 - 5 - 3*u - 29*u**2 + 36*u**2 + 2*u. Suppose 5*x + 0*o - 3*o = -1, -2*x - 4*o - 16 = 0. Give x*m(h) + 10*v(h).
2*h**2
Let p be ((-40)/8)/(5/(-2)). Let g(s) = 0*s - 2*s + 2*s - 4 + p*s. Let a(i) = 1. What is 4*a(u) + g(u)?
2*u
Let k(o) be the second derivative of -3*o**5/20 + o**3/6 - 5*o**2/2 - 4*o. Let i(v) = -v**3 + v - 2. Suppose -30*y + 110 = -52*y. Determine y*i(u) + 2*k(u).
-u**3 - 3*u
Let f(z) = 11*z**3 + 9*z**2 - z + 1. Let h(s) = 5*s**3 + 4*s**2 - s. Calculate 2*f(d) - 5*h(d).
-3*d**3 - 2*d**2 + 3*d + 2
Let q(c) = 7 - 1 - 4 + 2*c**2 - 10 - c**2 - 6*c. Let o(x) = -x**2 - x - 1. What is -6*o(w) + q(w)?
7*w**2 - 2
Let b(a) be the third derivative of -a**6/120 + a**4/24 - a**3/2 - 5*a**2 + 3. Let m(d) = 2*d**3 - 3*d + 7. Give -5*b(c) - 2*m(c).
c**3 + c + 1
Let w(g) = -162*g**2 - 6*g. Let z(l) = 163*l**2 + 8*l. Give -4*w(r) - 3*z(r).
159*r**2
Let t(d) = d + 2. Let s(p) = p + 11. Determine s(g) + 5*t(g).
6*g + 21
Suppose 11*i + 497 = 519. Let a(w) = -4. Let g(p) = -p**2 + 13. What is i*g(k) + 7*a(k)?
-2*k**2 - 2
Let w(z) = 4*z**3 - 5*z**2 + 5*z. Let m(x) = -3*x - 22. Let o be m(-6). Let i(y) = 4*y**3 - 4*y**2 + 4*y. Give o*w(d) + 5*i(d).
4*d**3
Let i(y) = 2*y + 1. Let b(a) = 27*a + 4. What is 2*b(o) - 6*i(o)?
42*o + 2
Let t(x) = 2*x**3 + 6*x**2 + 8*x - 3. Let a(r) = 10*r**3 + 28*r**2 + 40*r - 14. What is -3*a(l) + 14*t(l)?
-2*l**3 - 8*l
Let u be (-1)/(-5) - (-762)/15. Let w(n) = 51*n + n**2 - u*n. Let q be (-4)/3*12/(-8). Let v(a) = -3*a**2. Give q*v(c) + 3*w(c).
-3*c**2
Let x(c) = 5*c**2 + 5*c - 26. Let z(t) be the first derivative of 5*t - 1/2*t**2 - 19 - 1/3*t**3. What is 2*x(r) + 11*z(r)?
-r**2 - r + 3
Let s = -21 + 31. Let x be 4/s - 24/(-15). Let h(b) = 3*b + 0*b**2 + 0*b - 4*b + 2*b**x - 4. Let u(y) = -1. What is -h(n) + 4*u(n)?
-2*n**2 + n
Let l(s) = -5 + s + 0*s - 3*s. Suppose 5*h + 422 = -4*g, 2*h - 4*g = 3*h + 94. Let a = h - -76. Let b(c) = 1. What is a*b(q) - l(q)?
2*q - 1
Let c(d) = -3*d**2 - 8*d + 3. Let u(x) = x**2 + x + 1. Calculate c(r) + 5*u(r).
2*r**2 - 3*r + 8
Let l(w) = -2 + 189949*w + 2*w**2 - 189949*w + 19*w**3. Let g(b) = 893*b**3 + 95*b**2 - 95. Determine 2*g(c) - 95*l(c).
-19*c**3
Let q(x) = 2835*x**3 + 42*x + 21. Let h(i) = 709*i**3 + 10*i + 5. Calculate -21*h(g) + 5*q(g).
-714*g**3
Let t(p) = p + 5. Let m(b) = -13*b - 59. Give -2*m(v) - 22*t(v).
4*v + 8
Let p(s) be the second derivative of s**5/10 - s**3 + 9*s**2/2 - 17*s + 3. Let u(m) = m**3 - 3*m + 4. Calculate 2*p(f) - 5*u(f).
-f**3 + 3*f - 2
Let m(u) = u - 1. Let o(r) = 5*r + 72. Calculate 3*m(b) - o(b).
-2*b - 75
Suppose -265*z + 270*z - 30 = 0. Let o(a) = 3*a - 4. Let l(j) = -1. Determine z*l(i) - o(i).
-3*i - 2
Let c(p) = p**3 + p**2 - 5. Let d(k) = -5*k**3 - 4*k**2 + 577. What is -4*c(t) - d(t)?
t**3 - 557
Let k(w) = -4*w**2 + w - 3. Let s(t) = -4 - 34 + t + 33 - 7*t**2. Give -5*k(c) + 3*s(c).
-c**2 - 2*c
Let x(r) = 6*r**3 + 6*r**2 + 76*r - 28. Let j(k) = 2*k**3 + 2*k**2 + 25*k - 10. Calculate -8*j(i) + 3*x(i).
2*i**3 + 2*i**2 + 28*i - 4
Let w(k) = -3*k**3 - 2*k**2 - 5*k - 7. Suppose -4*v - v = -20. Let i(m) = -2*m**2 + 0*m**3 - v*m + 4 + 2*m**3 - 4*m**3 - 10. Calculate 5*i(c) - 4*w(c).
2*c**3 - 2*c**2 - 2
Let n(v) be the first derivative of v**2 - 3*v + 10. Suppose 0 = -4*z - 5*c - 16, -z + 0*c - 3 = c. Let p = 4 + z. Let o(i) = 1. Give p*o(f) + n(f).
2*f + 2
Let y(i) = -7956*i**3. Let h(f) = 215*f**3. What is 221*h(k) + 6*y(k)?
-221*k**3
Let j(q) = -9*q**2 - 13*q - 7. Let i(o) = -10*o**2 - 16*o - 8. Determine 5*i(m) - 6*j(m).
4*m**2 - 2*m + 2
Let i(h) = -4. Let u(b) = -b**2 + 11. Suppose -20*n = -128 - 12. Determine n*i(w) + 2*u(w).
-2*w**2 - 6
Let x(n) = 2. Let y(c) = c**2 - 2*c + 2. Determine 3*x(u) - 2*y(u).
-2*u**2 + 4*u + 2
Let s(i) = 2*i**3 + 6*i. Suppose 0 = -3*f + d + 14, -d + 1 = 3*f - 3. Let v(n) = 6*n**3 + 9*n + 4*n + f*n**3 - 4*n**3. Calculate -9*s(m) + 4*v(m).
2*m**3 - 2*m
Suppose 2*w - 26 = -4*c, 3*c + 10 = 5*w - 3. Let b(j) = j - 1. Let r(l) = 3*l - 4. Give w*b(g) - r(g).
2*g - 1
Let f(j) = -j**3 + 5*j**2 - 4*j - 5. Let l(r) = r**3 - 9*r**2 + 7*r + 9. Give -5*f(b) - 3*l(b).
2*b**3 + 2*b**2 - b - 2
Let m(a) = -1. Let y(v) = -v - 3. Suppose -3*c + 9 = 3*k, -5 = k - 4*c + 2. Determine k*y(i) - 4*m(i).
-i + 1
Suppose -x + 3*x - 42 = -s, 124 = 2*s - 4*x. Let m = s + -51. Let u(t) = 2*t + 6. Let a(i) = 1. What is m*u(b) - 6*a(b)?
2*b
Suppose 3*n + 4*h + 2 = 5*n, -3*n - h = -38. Let i(a) = 5 + 4*a - 2 - 2 - 5*a. Let m(f) = -6*f + 5. What is n*i(y) - 2*m(y)?
y + 1
Let b(y) = -30*y**3
|
{
"pile_set_name": "DM Mathematics"
}
|
e biggest value? (a) -2/23 (b) 0.8 (c) q
c
Suppose -3*z + 111 - 98 = 2*t, 5*t = -4*z + 22. What is the biggest value in -0.5, -10, t?
t
Let m = 17 + -13.8. Let q = 30.2 - m. Let s = q + -27.02. Which is the third biggest value? (a) s (b) -3/2 (c) 1
b
Let j = 17 + -14.2. Let n = j + -1.8. Let o = 143 + -145. Which is the biggest value? (a) o (b) 3 (c) 2 (d) n
b
Let g be (-30)/(-435) + 240/(-116). Let i = 115.01 - 115. What is the third biggest value in i, 1/6, g?
g
Let l = 230 + -226.85. Let w = -2.85 - l. Which is the second smallest value? (a) 0 (b) 0.4 (c) w
a
Let j = 0.10456 + 4.89544. What is the third smallest value in -6/25, j, 2/9, -0.5?
2/9
Let i = 38.6 - 56.5. Let r = i + 18. Let f = 1 + 2. What is the second biggest value in 1/2, f, r?
1/2
Let x = 5 + -5.03. Let h = -2616/295 + 9028/885. Let p = 3 - 3.1. Which is the third smallest value? (a) x (b) 0.1 (c) p (d) h
b
Let y = -0.27 + 1.66. Let k = 1.79 - y. Let g = 2 - 2. Which is the biggest value? (a) g (b) k (c) 1
c
Let y = -329 - -330. Let t = 843 - 842.6. Which is the second biggest value? (a) t (b) y (c) 0.5 (d) 4
b
Let x = -684 - -686. Which is the biggest value? (a) x (b) -0.16 (c) 1
a
Let p = 148/3 - 50. Let g(j) = -2901*j + 2. Let f be g(0). What is the third smallest value in -4, f, p, -2/11?
-2/11
Suppose 4*y - 69*s + 70*s = 5, -4*y = -3*s - 17. Let l = 5 - 2. What is the second biggest value in 2/17, 0, l, y?
y
Let p = -14.9 + 14.9. Let s be (-9)/2*4/(-6). Let v be ((s/6)/(-1))/(-2). Which is the biggest value? (a) v (b) p (c) -8
a
Let h be (-1)/(-2)*(-12)/(-39). Let d = 27.2 + -27.1. Which is the third biggest value? (a) -1/9 (b) h (c) d
a
Let v = 3862 - 3864. What is the third biggest value in 4/3, 3, -5/11, v?
-5/11
Let d be 616/(-24) - (-1)/3*-4. Let j be 2 + -1 + (7 - d). Let n = j - 33. Which is the second biggest value? (a) -1 (b) 0.03 (c) n
b
Let u be 5/(7 - (-338)/(-39)). What is the third smallest value in u, -2/33, 1/4?
1/4
Let l = -23.7 - -18.8. Let t = l - -8.9. Which is the second smallest value? (a) t (b) 3 (c) -1
b
Suppose -1598 - 2573 = -43*p. Which is the second biggest value? (a) -0.2 (b) p (c) 39
c
Let q = -12 + -46. Let o = -1.862 + -1.138. What is the second smallest value in o, 2/19, q?
o
Let m be (-5)/3*(2 + 1). Let n = 30.3037 - 31.9037. Which is the second biggest value? (a) n (b) m (c) 2
a
Suppose -83 = 17*l - 202. Let t(q) = q**3 - 6*q**2 - 10*q + 24. Let p be t(l). Which is the third smallest value? (a) -4 (b) -67 (c) p
c
Let g = -405 + 269. Let w be (5 - (-800)/g) + (2 - 1). Which is the second smallest value? (a) 3/4 (b) 0 (c) w
c
Let j = -9413 + 9413. What is the second biggest value in -32/47, -0.3, j?
-0.3
Let m = 307.8 - 308.1. Which is the third biggest value? (a) 2/9 (b) -0.2 (c) 1/317 (d) m
b
Let x = 33096 + -33095. Which is the smallest value? (a) -1/4 (b) x (c) 2663
a
Let a be (-4)/(-18) + 3/108. Suppose 23 = 4*z + 5*p, 50*z - 52*z - 3*p = -15. What is the biggest value in z, -6/5, 0.4, a?
0.4
Let z be 2/(-4)*12/(-2). Let m = 509 - 493. Let w be 2/z*(-56)/m. What is the biggest value in 2, w, -4?
2
Let v(k) = k**3 + 10*k**2 - 11*k + 1. Let r be v(-11). Let j = 4782 - 4779. What is the smallest value in r, -1/4, j?
-1/4
Let f = -251/63 - -2129/819. Which is the second biggest value? (a) 3/2 (b) f (c) 7
a
Let x = 13 - 12.5. Let t = -165 - -167.16. Let z = 1.84 + t. Which is the second smallest value? (a) -4 (b) -5 (c) z (d) x
a
Let w = -1400 - -1400. What is the third biggest value in w, -369, -5, 0.3?
-5
Let z = -12 - 23. Let g = -117.6 - z. Let y = 83 + g. What is the third smallest value in 1/3, y, 5, 4?
4
Let n = -2.376 - -2.776. Let l = -100/3 - -33. Which is the third smallest value? (a) 6 (b) l (c) n
a
Let b = -163.12 + 154. Let h = b + -0.88. What is the third biggest value in 0.4, -2/9, h?
h
Let a = -3896 + 3896.1. Suppose 3*f = -3*l, -5*l - 2*f - f + 4 = 0. What is the biggest value in l, 29, a?
29
Let z be ((-2)/5*1)/(-5 + 7). What is the third biggest value in -5, z, -6?
-6
Let v = 13744/5 - 2738. Suppose 97*u - 119*u - 50*u - 99*u = 116*u. Which is the second biggest value? (a) v (b) u (c) 2/7
c
Let s = -14236.94 + 14237. Let j be -3 - (3 - (-82)/(-20)) - -2. What is the second smallest value in s, 1, j?
j
Let n = 349/5 - 70. Let g = -129 + 143. Let w = g - 12. What is the fourth biggest value in 4, n, w, -1/3?
-1/3
Let w = -4632 - -4635. What is the second biggest value in -0.73, -1, w?
-0.73
Let p = 11 - 15. Let s = -973.11 + 973.41. What is the second biggest value in p, s, -1, -27?
-1
Let u = -107.7 + -218.7. Let t = u - -326. Let r = -0.4 - -0.3. Which is the second biggest value? (a) 0.2 (b) t (c) r (d) 2
a
Let k = 4653.5 + -4653. What is the fourth biggest value in -2/15, k, 0.12, -4?
-4
Let r = -638 + 638.0669. Let w = -1.9331 - r. Which is the third smallest value? (a) 7 (b) -3 (c) w
a
Let n = -402.3 - -463. Let v = -0.0005 - -61.0005. Let m = v - n. What is the fourth smallest value in -0.1, m, 2/9, -1?
m
Let z = -6 - -6.4. Let g(o) = 13*o + 253. Let n be g(-19). Suppose 2*p = -n*p + 46*p. Which is the third smallest value? (a) p (b) z (c) 3 (d) -7
b
Let o = -26142.3 - -26142. Which is the third smallest value? (a) 2973 (b) 1 (c) 3/5 (d) o
b
Let c = -241.52 + 239.52. Let l = -1.95 - 0.05. Let w = l + 1.8. What is the third biggest value in w, -7, c?
-7
Let x(m) = 56*m - 1870. Let z be x(28). What is the smallest value in -2, 0.1, z?
z
Let s = 3.9 + -4. Suppose 2*t - 13 - 7 = 0. Suppose -t*z = 13 - 13. Which is the second biggest value? (a) s (b) -0.3 (c) z
a
Let k = 6.23 - 0.23. Let i = 37.4 + -37.563. Let l = i - 0.837. What is the third biggest value in l, k, -1/5?
l
Let q be (2496/112 - 22)/((-32)/(-28)). What is the smallest value in -7, q, 0.46?
-7
Let v = -7 + 6. Let s be v + 0 - (-1 + 1). What is the second biggest value in 2, 1, s, -4?
1
Let s be ((-376)/3760)/((-2)/(-5)). What is the fifth biggest value in s, 0.1, 3, -2/9, -74/7?
-74/7
Let x = 192271 - 192260. Let j(l) = 2*l - 6. Let p be j(4). Which is the third smallest value? (a) 0.4 (b) p (c) x
c
Let m be 30/(-13) - (3 + -5). Let r = 523 - 523.3. Which is the third biggest value? (a) -4 (b) m (c) r
a
Let p = -382.3 - -381.3. Which is the biggest value? (a) -2 (b) 0 (c) 0.5 (d) -0.05 (e) p
c
Suppose -266*d + 1320 = -271*d. Let o be 96/d*(-11)/6. What is the second smallest value in -8, o, -0.2?
-0.2
Let t = -0.9137 - -0.7137. Which is the second smallest value? (a) t (b) 1465 (c) -3
a
Let o = 0.02 - 0.42. Let j = -339 - -337. Let d = -1.91 - j. Which is the second biggest value? (a) o (b) 4 (c) d
c
Let d be (936/(-124))/(-2) + -4. Let u = -83/93 - d. Let o = -0.6 + -2.4. What is the biggest value in u, o, -1.6?
u
Let x = 0.1 - 0.2. Let f = 6 - 6.12. Let p = 8769 + -8764. Which is the second smallest value? (a) p (b) x (c) f
b
Let j = 43346/195 - 2888/13. Which is the second smallest value? (a) 484 (b) 0 (c) -3/7 (d) 4 (e) j
b
Suppose -9*z - 250780 = -250654. Which is the smallest value? (a) 133 (b) z (c) -4
b
Let x = -10 + 14. Let k = 0.06 + -0.14. Let f = 7235/4 + -108533/60. What is the third smallest value in k, f, x?
x
Suppose -72*y - 1100 + 3620 = 0. Suppose 0 = -29*l - y + 64. Which is the third biggest value? (a) l (b) 1/28 (c) -3
c
Let x = 7.502 + -1.502. What is the second biggest value in -1.81, x, 1?
1
Let k = -46 + 234/5. Let j = 2.6183 + -0.1373. Let x = j - -0.519. Which is the biggest value? (a) -1 (b) x (c) k
b
Let k = 0.0642 + 0.1358. What is the second smallest value in -1, k, -126?
-1
Let o = 0.226 + 19.174. Let j = -13.1 + o. Let u = 2.3 - j. Which is the fourth biggest value? (a) 0.2 (b) 2/19 (c) -2/9 (d) u
d
Let p = 214 - 1088/5. Let w = 2/419 - 8819/4190. Let s = w - p. Which is the second smallest value? (a) -3 (b) -2/3 (c) s (d) 3
b
Let j = -26417 - -105657/4. Let y = -5 + 4.6. Which is the fourth smallest value? (a) j (b) y (c) 3 (d) 1/3
c
Let y = 33.5 - 94.2. Let s = y + 75.7. Which is the second smallest value? (a) -0.1 (b) 5/3 (c) s (d) 4/3
d
Let c be (-3 - (0 + 2))*(-6 - 5). Suppose -15*k + 4*k = -c. What is the second smallest value in 0.3, 3, k?
3
Let f = -35618 + 35621.5. Which
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{
"pile_set_name": "DM Mathematics"
}
|
k be h(-1). Let m(x) = -2 - 2 - x**k - 3 + 6*x**3 + 7*x**2. Calculate 7*j(r) - 4*m(r).
r**3
Let t(g) be the first derivative of g**4/2 + 4*g**3/3 - 2*g**2 - 4. Let w = 8 + 3. Let i(x) = 0 + 0 - 6*x**3 + 11*x - 11*x**2. What is w*t(h) + 4*i(h)?
-2*h**3
Let j(k) = -k - 1. Let b = -3 + 15. Let a(l) be the second derivative of 3*l**3/2 + 6*l**2 + 6*l - 3. What is b*j(z) + a(z)?
-3*z
Let l(o) = 293 + 3*o**2 + 5*o - 14*o**3 - 3*o**2 - 285. Let b(d) = 5*d**3 - 2*d - 3. Let r(m) = m**2 + 5*m + 1. Let w be r(-4). Calculate w*l(n) - 8*b(n).
2*n**3 + n
Let m(r) = -3*r - 3. Let x(h) = 10*h + 10. Determine -14*m(f) - 4*x(f).
2*f + 2
Let j(v) = -v**2 - 5*v + 6. Suppose 2*i - 3 = k, i = -k - 0*k - 6. Let t(a) = 5 + a - 6*a + a - a**2. What is k*j(o) + 6*t(o)?
-o**2 + o
Let x(c) = 5*c**2 - 2*c - 27. Let h(b) = -3*b**2 + b + 13. Let m(k) = 13*h(k) + 6*x(k). Let y(f) = -f**2 + 1. Determine m(a) - 6*y(a).
-3*a**2 + a + 1
Let k(f) be the second derivative of -f**5/20 - 5*f**4/12 - 3*f**2 + 36*f. Let j(g) = 3*g**3 + 14*g**2 + 17. Calculate -6*j(s) - 17*k(s).
-s**3 + s**2
Let n(i) = i + 6. Let v(l) = l + 5. Let u(q) = -6*q - 5. Let k be u(-4). Suppose 5*a - 5*x + 5 = 0, a + k = 2*a + 3*x. Calculate a*v(m) - 3*n(m).
m + 2
Let n(h) = -4*h**2 - 2*h + 2. Let z(o) = -9*o**2 - 5*o + 5. What is 10*n(i) - 4*z(i)?
-4*i**2
Let i(m) = 35*m**2 + 6. Let s(c) = -34*c**2 - 5. Give 5*i(a) + 6*s(a).
-29*a**2
Let a(b) = -2 + 4 - 3. Suppose -40 - 5 = -9*s. Let f(g) = -3*g + 5. Determine s*a(u) + f(u).
-3*u
Let w(a) = 2*a**2 - 11*a - 6. Let x(s) = 2*s**2 - 10*s - 5. What is -5*w(y) + 6*x(y)?
2*y**2 - 5*y
Let g(q) = -q**2 - q. Let z(o) = -2*o**3 - 7*o**2 - 2*o + 5. Let t(l) = l**3 + 6*l**2 + 2*l - 4. Let b(i) = 5*t(i) + 4*z(i). Calculate -b(a) - 2*g(a).
3*a**3
Let w(x) = -4*x**2 + 3*x - 2. Let q(t) = -23*t**2 + 17*t - 11. Calculate 6*q(y) - 34*w(y).
-2*y**2 + 2
Let h(t) = -t**3 + t**2 - 1. Let w(r) = -10*r**3 + r**2 + 2*r - 3. Give -3*h(f) + w(f).
-7*f**3 - 2*f**2 + 2*f
Let t(l) be the second derivative of l**4/12 - 2*l**3/3 - 3*l**2 + 4*l. Let s be t(6). Let r(a) = -8*a - 8. Let p(w) = -7*w - 7. What is s*p(v) - 5*r(v)?
-2*v - 2
Let o(d) = d - 9. Let s(k) = 2*k - 8. Determine -2*o(u) + 3*s(u).
4*u - 6
Let g(u) = 3*u - 38. Let p(f) = -4*f + 39. Calculate 3*g(l) + 2*p(l).
l - 36
Let x(o) = -37*o**3 - 2*o**2 - 2*o - 2. Let a(r) = -1925*r**3 - 105*r**2 - 105*r - 105. What is 4*a(i) - 210*x(i)?
70*i**3
Let v(i) = -6*i + 33. Let m(f) = -7*f + 32. Give -5*m(r) + 6*v(r).
-r + 38
Let a(y) = -5*y**3 + 3*y**2 + 6*y - 8. Let o(d) be the second derivative of -d**5/5 + d**4/4 + 5*d**3/6 - 7*d**2/2 + 13*d. Calculate -5*a(w) + 6*o(w).
w**3 + 3*w**2 - 2
Suppose 0 = c - r + 2, c - 3*r = -5*r + 7. Let s(n) = -c - 2 + 1 + 4 + 6*n. Let p(q) = -q. Calculate -4*p(g) - s(g).
-2*g - 2
Let u(m) = 2*m**2 + 2*m + 7. Let k(s) = 2*s**2 + 3*s + 8. Let g(t) = t**2 - 11*t + 5. Let p be g(11). Give p*u(y) - 4*k(y).
2*y**2 - 2*y + 3
Let f(g) = 5*g - 5. Suppose -6*d + 4 - 22 = 0. Let c(w) = 4*w - 4. Calculate d*c(p) + 2*f(p).
-2*p + 2
Let i(u) = -5*u**2 + u - 3. Let c(f) = -f**2 + 1. What is -6*c(h) + i(h)?
h**2 + h - 9
Let b(l) = 1. Let y(v) = -3*v - 8. What is 4*b(t) + y(t)?
-3*t - 4
Let x(p) = 6*p**2 - 6*p + 9. Let z(s) = 2*s**2 - 2*s + 3. What is -6*x(h) + 17*z(h)?
-2*h**2 + 2*h - 3
Let l(z) = 5*z**2 - 3. Let i(p) = 24*p**2 - 14. Let h(c) = -13*c**2 - 2*c + 1. Let t be h(1). Determine t*l(m) + 3*i(m).
2*m**2
Suppose u - 4*y = -8 - 16, 3*y - 15 = 0. Let x(s) = 2*s**2 + 2*s. Let i(w) = -2*w**2 - w. Let c be 1/(-4) + 2/16*-22. What is c*x(n) + u*i(n)?
2*n**2 - 2*n
Let v(k) = 4*k + 38. Let h be v(-8). Let x(l) = 4*l**2 + 6. Let w(t) = -1. What is h*w(z) + x(z)?
4*z**2
Let k(c) = -c**3 - c - 1. Let m(d) = -2*d**3 - 3*d - 6. Let h be 3/4 - 45/12. What is h*k(i) + m(i)?
i**3 - 3
Let b(v) = -6*v**2 + 2*v - 1. Let c be b(1). Let z(j) be the first derivative of 2*j**2 + 3*j - 15. Let d(y) = 3*y + 2. Determine c*d(u) + 4*z(u).
u + 2
Let j(d) = -9*d - 2. Let v(f) = f. What is j(i) - 2*v(i)?
-11*i - 2
Let z(r) = 12*r - 14. Let j(h) = 4*h - 5. Calculate 8*j(q) - 3*z(q).
-4*q + 2
Let j(k) = -k + 1. Let n(l) = -7*l - 1. Calculate 2*j(p) - n(p).
5*p + 3
Let q = 8 + -30. Let b(z) = -16*z**2 + 11*z - 11. Let m(y) be the second derivative of -y + 0 + y**2 + 1/4*y**4 - 1/3*y**3. Calculate q*m(k) - 4*b(k).
-2*k**2
Let x(o) = o - 1. Let i(t) = -2*t + 0*t + 1 + 1. Give -3*i(p) - 8*x(p).
-2*p + 2
Let s(t) = -4*t - 7. Let a(w) = w + 1. Let g(v) = v**2 - 9*v - 3. Let f be g(9). Let c = -9 - f. Calculate c*a(l) - s(l).
-2*l + 1
Let b(q) = 4*q. Let c(s) = -1. Give -b(x) + c(x).
-4*x - 1
Let b(q) be the first derivative of -q**4/4 + 7*q**3/3 + 7*q**2/2 + 21. Let r(m) = -3*m**2 - 3*m. Calculate 3*b(i) + 7*r(i).
-3*i**3
Let r(y) = 8*y**2 - y + 5. Let f(h) = -8*h**2 + h - 4. What is -7*f(b) - 6*r(b)?
8*b**2 - b - 2
Let g(q) = 60*q**2 - 2. Let t(r) = -59*r**2 + 1. Calculate 2*g(u) + 3*t(u).
-57*u**2 - 1
Let o(b) = -4*b**3 - b. Let w(f) = f**3 + f. Let i be -4 + -3*2/(-3). Let g be (i - (0 + -1))*-1. Let s(n) = n**2 + n. Let m be s(g). Give m*w(r) + o(r).
-2*r**3 + r
Let s(i) = 3*i**3 - 18*i**2 + 17*i + 6. Let w(q) = -q**3 + 6*q**2 - 6*q - 2. Calculate 6*s(g) + 17*w(g).
g**3 - 6*g**2 + 2
Suppose 3*f - 3 - 18 = 0. Let w(v) = 2*v**2 + 7*v - 7. Let p = -4 - -7. Let m(j) = p*j - 6*j**2 + 4*j**2 + 2*j**2 + j**2 - 3. Determine f*m(z) - 3*w(z).
z**2
Let m(s) = -3*s**2. Suppose 3*f + 2 = -5*r, -5*f + 3*r - 14 = -3*f. Let n(y) be the first derivative of -7/3*y**3 + 0*y**2 + 0*y - 1. Calculate f*n(z) + 9*m(z).
z**2
Let b(i) = 3*i - 2. Suppose -2*z - 5*r - 9 = 0, 4*z = 3*r + 3 - 8. Let y(v) = -v + 1. Calculate z*y(h) - b(h).
-h
Let f(b) = 14 + 9 - 25 + 2*b + 2*b. Let r(d) = 3*d - 1. Calculate 2*f(v) - 3*r(v).
-v - 1
Let x = 14 + -10. Let q(h) = -6*h**2 + 11. Let a(z) = -2*z**2 + 4. Calculate x*q(w) - 11*a(w).
-2*w**2
Let f(p) = -7*p - 6. Let g = -25 - -20. Let l(x) = 6*x + 5. What is g*l(j) - 4*f(j)?
-2*j - 1
Let v(u) be the first derivative of -5*u**4/4 + 14*u**3/3 + 11*u**2/2 - 3*u - 20. Let m(l) = -2*l**3 + 5*l**2 + 4*l - 1. Give 11*m(i) - 4*v(i).
-2*i**3 - i**2 + 1
Let y(x) = x - 2. Let r(h) = 2. Suppose 19 = -7*w + 2*w - f, 2*w - 10 = 4*f. Calculate w*r(k) - 2*y(k).
-2*k - 2
Let k(p) = -p - 1. Let g(s) = 17*s**2 + 187*s + 187. Determine 4*g(w) + 748*k(w).
68*w**2
Let y(s) = -6*s**2 - 6*s + 3. Let k(u) = -u**2 - u. Suppose 6*w - 27 = 3*w. Let f(b) = b - 8. Let x be f(w). What is x*y(r) - 4*k(r)?
-2*r**2 - 2*r + 3
Let o(u) = -22*u + 7. Let l(r) = -7*r + 2. Determine -7*l(f) + 2*o(f).
5*f
Let v(g) be the first derivative of -g**2/2 - 5. Let o(d) = -5*d. Give -6*o(m) + 33*v(m).
-3*m
Let w(m) = m - 5. Let t be 1/(((-4)/(-10))/2). Let k(r) = -r - 1 + t - 4 + 1. Calculate 3*k(u) + w(u).
-2*u - 2
Let s(i) = 5*i**3 + 3*i**2 + 3*i - 3. Let q be (3/10*-2)/(19/95). Let z(l) = -9*l**3 - 5*l**2 - 5*l + 5. Let k be 0 - (0 - -1)*5. What is k*s(m) + q*z(m)?
2*m**3
Let k(h) = h**2 + 5*h. Let p(f) = -f**2 - 2*f + 2. Let j(u) = -1. Let n(q) = 2*j(q) + p(q). What is -2*k(l) - 5*n(l)?
3*l**2
Let w(t) = -2*t**2 + 1. Let r(k) = -8*k**2 + 5. Let b = -12 - -21. What is b*w(u) - 2*r(u)?
-2*u**2 - 1
Let p(x) = -3*x**3 - 4*x - 5. Let a be 46/(-10) - 12/30. Let h(i) = -4*i**3 - 5*i - 6. Give a*p(b) + 4*h(b).
-b**3 + 1
Let w(r) = 5*r**3 - 3*r**2 + r + 1. Let l(h) = -h**3 + h**2 - h. Calculate l(z) + w(z).
4*z**3 - 2*z**2 + 1
Let l be (-35)/3 + (-2)/(-3). Let t(d) = -3*d**2 - 4*d**2 + 2*d**2 + d**2. Let w(r) = r**2. Give l*w(q) - 2*t(q).
-3*q**2
Suppose 3*q - 5 = -4*z, 3*q - 15 = -2*q. Let b(x) be the third derivative of 5*x**4/12 - 2*x**3 - 4*x**2. Let r(t) = t - 1. Calculate z*b(n) + 12*r(n).
2*n
Let a(w) = w**3 + 3*w + 41. Let s(g) = -2*g - 41. Determine -2*a(z) - 3*s(z).
-2*z**3 + 41
Let k(g) = 2*g**2 - g - 4. Let z(o) = 5*o**2 - 6*o + 7. Let b(y) = 14*y**2 - 17*y + 20. Let t(s) = -6*b(s) + 17*z(s). Calculate -2*k(j) + 6*t(j).
2*j**2 + 2*j + 2
Let k(f) = 5*f**2 - 4*f - 2. Let u(g) = 9*g**2 - 7*g - 4. Determine 5*k(d) - 3*u(d).
-2*d**2 + d + 2
Let m(t) = -5*t**3 + 6*t**2 - 5*t. Let x(n) = 6*n**3 - 7*n**2 + 6*n. Let z(q) = 7*m(q) + 6*x(q). Let y(c) = c**3 + 5*c. Calculate -y(d) + 5*z(d).
4*d**3
Let k(i) = 6*i**3 - 15*i**2 + 15*i - 15. Let j(d) = d**2 - d + 1. Determine -15*j(r) -
|
{
"pile_set_name": "DM Mathematics"
}
|
g and 3 t?
5/18
Four letters picked without replacement from yxyphhhnhpfhyhxhy. What is prob of picking 4 h?
1/68
Three letters picked without replacement from {h: 7, a: 1, v: 6}. Give prob of picking 2 a and 1 h.
0
Three letters picked without replacement from xhxhdduuqhhhhuuh. What is prob of picking 1 x and 2 d?
1/280
What is prob of picking 2 d and 2 w when four letters picked without replacement from {d: 2, w: 3}?
3/5
Three letters picked without replacement from {t: 1, y: 14}. Give prob of picking 3 y.
4/5
Three letters picked without replacement from qpqfpqhghqfx. What is prob of picking 2 p and 1 g?
1/220
Three letters picked without replacement from zoyzoyozzz. Give prob of picking 1 o and 2 y.
1/40
Calculate prob of picking 3 r and 1 x when four letters picked without replacement from {z: 1, r: 6, s: 1, o: 3, g: 1, x: 3}.
4/91
Four letters picked without replacement from mumtmwmmwmmmwmw. What is prob of picking 1 t and 3 w?
4/1365
Three letters picked without replacement from {b: 2, r: 5, w: 8, g: 3, o: 1}. Give prob of picking 2 r and 1 o.
10/969
Two letters picked without replacement from {y: 1, c: 2, z: 1}. What is prob of picking 2 c?
1/6
Calculate prob of picking 1 n and 1 j when two letters picked without replacement from jjjjnnjj.
3/7
What is prob of picking 1 w, 1 p, and 1 d when three letters picked without replacement from {p: 7, w: 4, d: 3}?
3/13
Calculate prob of picking 1 d and 1 h when two letters picked without replacement from {x: 2, h: 1, d: 2, q: 1, n: 1, m: 1}.
1/14
Two letters picked without replacement from wwzdwwdwevvke. Give prob of picking 1 k and 1 v.
1/39
Two letters picked without replacement from gjhlbhjhjjllblhjhblh. Give prob of picking 2 l.
1/19
Three letters picked without replacement from {y: 3, m: 1, t: 5, p: 6}. What is prob of picking 2 p and 1 m?
3/91
Three letters picked without replacement from ptvvqpgqpva. What is prob of picking 1 v, 1 p, and 1 t?
3/55
What is prob of picking 1 a, 2 f, and 1 d when four letters picked without replacement from {f: 3, a: 3, g: 2, d: 1, o: 1}?
3/70
What is prob of picking 1 q and 1 x when two letters picked without replacement from xccqcccqkqckqqccck?
5/153
Three letters picked without replacement from {m: 2, q: 1, x: 1, h: 1, k: 1, p: 1}. Give prob of picking 1 k, 1 h, and 1 q.
1/35
What is prob of picking 1 d, 1 n, and 1 h when three letters picked without replacement from dahnnnhhnwnw?
3/44
Three letters picked without replacement from pidbapppbdabbp. Give prob of picking 1 p, 1 d, and 1 a.
5/91
Two letters picked without replacement from vovoovvovovvo. What is prob of picking 2 v?
7/26
Three letters picked without replacement from {q: 7, c: 3}. Give prob of picking 3 q.
7/24
What is prob of picking 3 t when three letters picked without replacement from itiuutttt?
5/42
Three letters picked without replacement from wkwowwwwwkbsowe. What is prob of picking 1 b and 2 w?
4/65
Calculate prob of picking 2 w and 1 r when three letters picked without replacement from {w: 4, r: 2}.
3/5
Calculate prob of picking 2 y, 1 a, and 1 x when four letters picked without replacement from {a: 3, y: 4, x: 13}.
78/1615
What is prob of picking 2 n, 1 l, and 1 m when four letters picked without replacement from mnmlmnm?
4/35
What is prob of picking 1 o, 1 t, and 1 c when three letters picked without replacement from iniiomiiimtimoic?
1/280
Three letters picked without replacement from ikaiiiiikiikk. Give prob of picking 3 i.
28/143
Three letters picked without replacement from {i: 2, c: 1, o: 4, l: 6, s: 3, v: 2}. Give prob of picking 3 s.
1/816
What is prob of picking 1 u and 1 d when two letters picked without replacement from {d: 2, u: 2, t: 1}?
2/5
Three letters picked without replacement from {e: 2, r: 3, x: 3, w: 2, f: 2, c: 6}. What is prob of picking 2 e and 1 f?
1/408
What is prob of picking 1 q, 1 c, and 1 k when three letters picked without replacement from nqcndeke?
1/56
Two letters picked without replacement from zzx. What is prob of picking 2 z?
1/3
Calculate prob of picking 2 g and 2 q when four letters picked without replacement from qggnnptggtrqgqt.
2/91
Two letters picked without replacement from {q: 2, a: 1, s: 1}. Give prob of picking 1 s and 1 a.
1/6
Three letters picked without replacement from {d: 8, q: 2, b: 5}. Give prob of picking 2 q and 1 d.
8/455
What is prob of picking 3 b and 1 p when four letters picked without replacement from bbbbbpbpbbbbbbbbbb?
56/153
What is prob of picking 1 y and 1 c when two letters picked without replacement from cfbyffyfffhcffhcf?
3/68
Calculate prob of picking 2 c and 2 n when four letters picked without replacement from {c: 3, n: 6, u: 2, l: 1, m: 2}.
45/1001
Calculate prob of picking 2 j when two letters picked without replacement from mjjmmmmjmjmjm.
5/39
Calculate prob of picking 1 u and 1 l when two letters picked without replacement from fumqlql.
2/21
Calculate prob of picking 1 i and 2 c when three letters picked without replacement from {c: 2, g: 3, i: 3}.
3/56
Three letters picked without replacement from uddufdu. Give prob of picking 2 d and 1 f.
3/35
Two letters picked without replacement from mvxvmxxvvkvovvmvvo. Give prob of picking 1 o and 1 k.
2/153
Four letters picked without replacement from llllnnnnlnlllnlllnnn. What is prob of picking 4 n?
42/1615
Four letters picked without replacement from {n: 6, a: 7}. What is prob of picking 4 a?
7/143
Four letters picked without replacement from {x: 4, f: 2, w: 4}. What is prob of picking 2 f and 2 x?
1/35
What is prob of picking 2 n, 1 v, and 1 y when four letters picked without replacement from {y: 1, n: 5, v: 4}?
4/21
Four letters picked without replacement from {n: 8, l: 5}. Give prob of picking 2 l and 2 n.
56/143
Calculate prob of picking 2 r when two letters picked without replacement from rrllr.
3/10
Two letters picked without replacement from fofn. What is prob of picking 1 o and 1 f?
1/3
Four letters picked without replacement from ucoucccooccoucucc. Give prob of picking 3 o and 1 c.
9/595
Four letters picked without replacement from ofooofooffooooooooo. Give prob of picking 4 o.
455/1292
What is prob of picking 1 o, 1 y, 1 h, and 1 l when four letters picked without replacement from hlhohhhllyyollhhhh?
1/17
Calculate prob of picking 2 u and 2 s when four letters picked without replacement from lsuslslllsulllll.
3/910
Calculate prob of picking 1 c, 2 n, and 1 y when four letters picked without replacement from cnmcymmmmncmc.
4/715
Three letters picked without replacement from khocihgo. What is prob of picking 1 k, 1 h, and 1 i?
1/28
What is prob of picking 2 w when two letters picked without replacement from wzzzzwwzwzz?
6/55
What is prob of picking 3 k when three letters picked without replacement from {k: 4, u: 2}?
1/5
Two letters picked without replacement from kkqstvtkvqvtqtttf. What is prob of picking 1 f and 1 q?
3/136
Calculate prob of picking 3 r and 1 e when four letters picked without replacement from eerrrreeer.
5/21
Two letters picked without replacement from {t: 5, r: 2, f: 1, b: 8}. Give prob of picking 1 f and 1 t.
1/24
Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {v: 1, p: 1, o: 7, w: 5}.
1/91
Three letters picked without replacement from pqmqppq. Give prob of picking 2 p and 1 m.
3/35
What is prob of picking 2 g when two letters picked without replacement from gguugwyyyuyuo?
1/26
What is prob of picking 2 i and 2 o when four letters picked without replacement from ioiooiiiii?
3/10
What is prob of picking 1 s and 1 g when two letters picked without replacement from {e: 4, q: 9, s: 4, g: 3}?
6/95
Three letters picked without replacement from huquhhuuhqhq. What is prob of picking 1 u and 2 h?
2/11
Calculate prob of picking 4 j when four letters picked without replacement from jjjjjjwjjjjjjjjjwjjj.
12/19
What is prob of picking 3 x when three letters picked without replacement from {x: 12, p: 1}?
10/13
Three letters picked without replacement from ohohohwdhwohw. Give prob of picking 3 o.
2/143
Four letters picked without replacement from jjppjpp. Give prob of picking 2 j and 2 p.
18/35
Two letters picked without replacement from kllsklkklslsks. What is prob of picking 2 s?
6/91
Three letters picked wi
|
{
"pile_set_name": "DM Mathematics"
}
|
tive of 7*l**3/6 - 2*l - 1. Let w(b) be the third derivative of -5/24*b**4 + 0 + 0*b**3 + 0*b - 21*b**2. Give w(u(g)).
-35*g
Let o(p) be the third derivative of p**4/24 - 1991*p**2. Let r(b) = -484*b. What is o(r(a))?
-484*a
Let c(h) = -4*h**2. Let a(d) = -15031740*d**2. What is c(a(n))?
-903812829710400*n**4
Let c(p) = 3*p**2 + 177*p + 200*p - 554*p + 177*p. Let r(w) = 2232*w. Determine r(c(m)).
6696*m**2
Let r(k) = -4*k**2 - 2*k + 14*k + k**2 + 2*k**2. Let b(d) = -3029*d + 1009*d + 1007*d + 1011*d. What is b(r(o))?
2*o**2 - 24*o
Let z(n) = 122*n. Let l(g) = -2016571*g**2. Give z(l(x)).
-246021662*x**2
Let g(x) = -x. Let w(d) be the third derivative of -d**7/2520 + 43*d**5/120 + 29*d**4/8 - 87*d**2. Let f(t) be the second derivative of w(t). Give f(g(y)).
-y**2 + 43
Let z be (-4*(-2)/3)/((-6)/(-9)). Let f be (38 - z) + 2*2. Let c(x) = -f*x - 9*x + 5*x. Let r(s) = -2*s**2. What is r(c(a))?
-3528*a**2
Let w(a) = -3*a**2 - 5 + 5 + 0. Let x(q) = 5*q + 7 + 0 + 24 - 30. Calculate w(x(t)).
-75*t**2 - 30*t - 3
Let c(n) = -n**2. Let l = 48386 + -28083. Let s(t) = -l + 36*t + 20303. Calculate c(s(p)).
-1296*p**2
Let i(t) be the third derivative of -t**6/180 - 61*t**3/2 + 133*t**2. Let u(j) be the first derivative of i(j). Let k(s) = 5*s**2 + 12*s. Determine k(u(a)).
20*a**4 - 24*a**2
Let b = -10 - -16. Let i(z) = -b*z - 5*z + 5*z - 3*z. Let g(t) = t**2. What is g(i(f))?
81*f**2
Let o(t) be the first derivative of -t**3 + 331. Let s(k) = 3*k**2 - 27. Calculate s(o(z)).
27*z**4 - 27
Let f(r) = r**2 - 6*r + 24. Let y be f(0). Suppose -y = 12*k - 8*k. Let q(t) = 8*t. Let j(z) = z. Let d(g) = k*j(g) + q(g). Let m(i) = i. Calculate d(m(w)).
2*w
Let l(p) = 125450*p**2 - 3. Let k(b) = 4*b**2. Determine l(k(x)).
2007200*x**4 - 3
Let x(n) = -17 - 5 - 22796*n + 22797*n + 30. Let h(q) = -q**2 + 0 + 0. What is h(x(t))?
-t**2 - 16*t - 64
Let p(o) = 2*o + 73. Let f(x) be the first derivative of 1 + 0*x - 1/2*x**2. Determine p(f(i)).
-2*i + 73
Let l(r) = -2*r. Let p(y) = 444*y - 9659. Calculate l(p(z)).
-888*z + 19318
Let r(p) be the second derivative of p**4/6 - 177*p + 1. Let b(q) = 1664*q**2. What is r(b(t))?
5537792*t**4
Let u(s) = -2*s**2. Let a(i) be the first derivative of -7*i**5/120 + i**4/3 - 33*i**3 - 44. Let r(g) be the third derivative of a(g). What is u(r(c))?
-98*c**2 + 224*c - 128
Let a(l) = 3*l. Let o(v) = -11*v**2 - 458*v - 23. Determine a(o(h)).
-33*h**2 - 1374*h - 69
Let x(a) = a. Let h(p) = 2*p + 1211436. Calculate x(h(d)).
2*d + 1211436
Let x(p) = p**2. Suppose -7*j - m + 107 = 0, 70*j - 69 = 65*j + 3*m. Let q(k) be the second derivative of 0*k**3 + 0 - 5/12*k**4 - j*k + 0*k**2. Give x(q(n)).
25*n**4
Suppose 27*q = 30*q - 3. Let h(f) = 4 + q + f - 5. Let s(w) = 26*w. Give s(h(n)).
26*n
Let d(h) = -869*h**2 - 598*h. Let y(q) = -16*q. Determine d(y(g)).
-222464*g**2 + 9568*g
Let u(b) = -4*b - 3. Let a(l) = -830680*l**2. What is u(a(t))?
3322720*t**2 - 3
Let q(l) = -7*l**2. Let v(w) = 152*w**2. Let p(s) = 64*q(s) + 3*v(s). Let z(b) = 6*b**3 - b**2. Let d be z(1). Let o(n) = -d + 1 + 4 + 4*n. Determine o(p(g)).
32*g**2
Let m(f) be the first derivative of 3 + 1/2*f**2 + 0*f. Let k(o) be the second derivative of 11*o**4/12 + 175*o. Give m(k(z)).
11*z**2
Let z(f) = f. Let y(s) be the first derivative of -19*s**4/12 - 226*s - 220. Let i(m) be the first derivative of y(m). Determine z(i(a)).
-19*a**2
Let l(n) = -14*n - 25*n - 14*n + 17*n. Let u(h) = -h**3 - 13*h**2 + h + 15. Let p be u(-13). Let z(t) = -2*t - 2*t + p*t. Determine l(z(i)).
72*i
Let g(x) = 31*x. Let v(j) = -16*j. Let t(h) = g(h) + 2*v(h). Let y(o) = 6*o**2 - 69. Calculate y(t(b)).
6*b**2 - 69
Let s(l) = 131*l. Let z(u) = -330268*u. What is s(z(o))?
-43265108*o
Let m(n) = -2*n. Let y(o) be the third derivative of 17*o**5/12 - o**4/24 - 282*o**2. Calculate y(m(f)).
340*f**2 + 2*f
Let n(p) = 28 + 0*p**2 - 3*p**2 - 2*p**2. Let j(t) = t - 36. Let i(s) = s - 30. Let g(d) = -6*i(d) + 5*j(d). Determine n(g(f)).
-5*f**2 + 28
Let m(p) = 34*p**2 - 70*p. Let q(l) = -l - 20931 + 41852 - 20921. Calculate q(m(c)).
-34*c**2 + 70*c
Let j(n) be the first derivative of -7/2*n**2 + 1 - n. Let d(k) = -4*k. Give j(d(g)).
28*g - 1
Let n(a) = 9*a**2 - 8*a. Let b(o) = -7*o**2 - 5*o. Let x(h) = -275*h**2 - 200*h. Let i(q) = 120*b(q) - 3*x(q). Calculate n(i(l)).
2025*l**4 + 120*l**2
Let l(f) = 6*f. Let v = 7 - 19. Let z be (-10)/(-4)*v/15. Let i(d) = 7*d. Let p(o) = z*i(o) + 3*l(o). Let g(m) = 2*m. Determine p(g(y)).
8*y
Let z(p) = -5201*p**2 - 5*p + 2. Let c(n) = -50*n. Calculate z(c(l)).
-13002500*l**2 + 250*l + 2
Let u(g) = -2 + 1011*g**2 + 1020*g**2 - 2049*g**2. Let b(f) = 37*f**2. What is u(b(p))?
-24642*p**4 - 2
Let w(s) = 7*s**2 + 6*s**2 + 6*s**2 + 2*s**2 - 20*s**2. Let a(h) = -2593*h. Calculate w(a(k)).
6723649*k**2
Let l(f) = -6559*f. Let b(r) = -4*r + 820. Calculate l(b(w)).
26236*w - 5378380
Let l(d) = 4*d. Let f(b) be the second derivative of -139*b**3/3 + b**2 - 214*b + 1. Calculate f(l(y)).
-1112*y + 2
Let k(o) = 4*o**2. Let z(x) = -2*x**2 + 344*x - 2497. What is z(k(r))?
-32*r**4 + 1376*r**2 - 2497
Let i(q) = -9630*q. Let r(j) = -16424*j. What is i(r(l))?
158163120*l
Let p(w) = 2*w. Let s(h) = 24513894*h. Calculate s(p(m)).
49027788*m
Let z(p) = -4*p. Let v(t) = 55178164*t**2. Give v(z(r)).
882850624*r**2
Let f(x) = x**2 + 9*x. Let n(o) = -3*o + 384902. Determine n(f(m)).
-3*m**2 - 27*m + 384902
Let x(w) = -w**2 + w**2 + 3*w**2. Let o(c) = 23*c**2 + 9 - 13 - 14*c**2 - 7*c**2 - 4*c**2 - 4*c**2. Determine x(o(r)).
108*r**4 + 144*r**2 + 48
Let j(i) = -68*i. Let t(c) = -23*c. Let k(l) = 6*j(l) - 17*t(l). Let n(v) be the first derivative of 5*v**3/3 - 28. Calculate n(k(h)).
1445*h**2
Let u(w) be the first derivative of -4/3*w**3 - 34 + 0*w + 0*w**2. Let y(k) = k. Calculate u(y(i)).
-4*i**2
Let n(r) = -83*r**2. Let f(b) = -1111*b**2 - 531*b. Calculate f(n(z)).
-7653679*z**4 + 44073*z**2
Let w(i) = 31*i + 11. Let a(f) = -22*f - 10. Let n(x) = -4*a(x) - 3*w(x). Let z(k) be the second derivative of k**3/3 - 9*k. Calculate n(z(y)).
-10*y + 7
Let p(i) = i + 179. Let q(k) = k + 613. Let l(m) = -7*p(m) + 2*q(m). Let b(c) = -5*c**2. Determine l(b(j)).
25*j**2 - 27
Let h(y) = 1724*y. Let u(v) = -1818 + 957 - 2*v + 861. Calculate h(u(f)).
-3448*f
Let x(p) = 35*p - 20. Let t(v) = 181291*v. Determine x(t(l)).
6345185*l - 20
Let h(z) = 2*z + 26. Let p(j) = -32934*j**2. Give h(p(x)).
-65868*x**2 + 26
Let v(h) = -h**2. Let f(l) = -164*l + 2626. Let z be f(16). Let p(i) be the first derivative of -1 + 0*i - 7/2*i**z. Give p(v(k)).
7*k**2
Let x(f) = -87672*f. Let r(a) = -18*a**2. Determine x(r(c)).
1578096*c**2
Let x(f) = -317*f**2. Let s(v) = -80565*v. What is x(s(q))?
-2057557994325*q**2
Let l(r) = 2*r. Let m be (-12)/10 + 11/5. Let t(q) = 11*q - 10*q + 27*q - m + 29*q. Give l(t(v)).
114*v - 2
Let h(x) = x. Let t(o) be the third derivative of -7*o**5/60 - 7*o**3/3 + 127*o**2 + 16*o. What is h(t(w))?
-7*w**2 - 14
Let n(h) be the first derivative of 0 + h**2 - 4 - 1. Let j(r) = -r**2 - 2*r**2 + 5*r**2. Give n(j(l)).
4*l**2
Let w(v) = 2*v - 2*v + 35*v**2. Let g(o) be the third derivative of o**4/12 + 47*o**2 + 63. Calculate w(g(y)).
140*y**2
Let l(c) be the second derivative of -c**3/6 + 6343*c. Let i(z) = 17731*z**2. Calculate l(i(s)).
-17731*s**2
Let z(n) = -2*n + 16. Let j(r) = 175*r**2 - 20. Let g(c) = 26*c**2 - 3. Let s(k) = 20*g(k) - 3*j(k). Determine z(s(w)).
10*w**2 + 16
Let t(x) = 4*x**2. Let i(d) be the first derivative of -27 + 16*d**2 - 11*d**2 + 7*d**2. Give t(i(o)).
2304*o**2
Let n(g) = 70*g. Let o(a) = 18*a. Let z(m) = 6*n(m) - 22*o(m). Let p(l) be the third derivative of -l**5/60 - 22*l**2. Give p(z(d)).
-576*d**2
Let r(l) = 7*l. Let u(v) = 2. Let n be -1*(-2)/9 - (-170)/45. Let c(m) = -57 + 5*m + 50 - n*m. Let f(g) = -2*c(g) - 7*u(g). Determine f(r(h)).
-14*h
Let j(r) = 77*r + 2 - 41*r - 42*r. Let x be j(0). Let f(a) = -7*a**x - 16*a + 26*a - 10*a. Let m(o) = 3*o. Determine f(m(t)).
-63*t**2
Let k = 148 - 145. Let g(x) = 9*x + 3*x - k*x - 7*x. Let d(f) = 2*f**2 - 32*f. What is d(g(m))?
8*m**2 - 64*m
Let g(p) = 36343744*p. Let o(n) = -3*n. Determine o(g(l)).
-109031232*l
Let t(g) be the first derivative of 74 + 52*g + 1/2*g**2. Let w(s) = 3*s**2. What is t(w(o))?
3*o**2 + 52
Let t(k) = -13*k - 2. Let d(l)
|
{
"pile_set_name": "DM Mathematics"
}
|
-515. Let h = u + 0.092. What is h rounded to three decimal places?
-0.015
Let a = -0.1 + 8.1. Let w = 29 + a. Let o = -32.2 + w. Round o to the nearest integer.
5
Let a = -0.025 + 0.02499767. Round a to six dps.
-0.000002
Let i = -533424.32 + 550599. Let y = i - 17165.68000072. Let t = 9 - y. What is t rounded to seven decimal places?
0.0000007
Let r = 46286951 + -75759946. Let u = r - -29472862.99947. Let d = 132 + u. What is d rounded to four decimal places?
-0.0005
Let l be 32/14 - (-10)/(-35). Let o(a) = 209999*a**2 + 3*a - 2. Let m be o(l). Round m to the nearest 100000.
800000
Let c = 0.414 + -0.4. Let r = 0.03 + -0.015. Let a = c + r. What is a rounded to 2 decimal places?
0.03
Let j = 57.07 - 1.07. Let r = j - 56.0023. Round r to 3 decimal places.
-0.002
Suppose 0 = 3*t + t - 152. Let d = -11 - t. What is d rounded to the nearest 10?
-50
Let c be 5 + 1334 + 2/2. Round c to the nearest one hundred.
1300
Suppose 0 = -5*n - b - 30094941 + 95594946, 5*n - b - 65499995 = 0. Round n to the nearest 1000000.
13000000
Let w = -129566.903 + 129565.80299947. Let r = -1.1 - w. What is r rounded to seven dps?
0.0000005
Let t = -705205 + 474205. What is t rounded to the nearest ten thousand?
-230000
Let x be ((-1599998)/3)/(9/27). Let z be x/(-3 + 4) - 2. Round z to the nearest 1000000.
-2000000
Let z = -3.73 - -6.82. Round z to 1 decimal place.
3.1
Let w = -21.2 + 19.93. What is w rounded to one decimal place?
-1.3
Let t = -50582 + 50610.021. Let f = -28 + t. Round f to 2 decimal places.
0.02
Suppose 3*g = 1817189 + 1275709. Let v = g - -1419034. What is v rounded to the nearest 100000?
2500000
Let m = -11.0831685 + 0.0830585. Let c = -11.2 + 0.2. Let k = c - m. Round k to 4 dps.
0.0001
Let l = 0.042 + -0.01. Let d = l + -0.03177. Round d to four dps.
0.0002
Let v(l) = 33*l**2 - 9*l - 9. Let a be v(7). Let x = a - 835. Round x to the nearest one hundred.
700
Let h be (1150*-50*-10)/((-11)/(-88)). Round h to the nearest one million.
5000000
Let g = -2363.1097 - -2363. Round g to two dps.
-0.11
Let n = -0.09 - 1.91. Let t = 1.9999997 + n. What is t rounded to six dps?
0
Let n = 0.2 + -0.1. Let t = 0.0999966 - n. Round t to 6 dps.
-0.000003
Let v = -0.1 - -0.082. Let i = 5.082 - v. Round i to 0 decimal places.
5
Let p = 22 - 22.11. Round p to 1 dp.
-0.1
Let t be (1/(-2) - -1)*974. Suppose -48556 = -3*l - s, l - 11417 - 4745 = -5*s. Let o = l - t. What is o rounded to the nearest one thousand?
16000
Let y = -1.346 + -0.014. Let z = y - -1.35937. What is z rounded to 4 decimal places?
-0.0006
Let d = 829644.347164 - 829642. Let s = -0.045464 + d. Let f = 2.3 - s. What is f rounded to 3 decimal places?
-0.002
Let l = 8 + -5. Let u = -4.2 - -5. Let c = l - u. Round c to 0 dps.
2
Let w = -219.0601721 - -235.96018. Let m = 16.9 - w. Round m to 6 decimal places.
-0.000008
Let x = -171.2 - -173.018. Let m = x + -2.1. What is m rounded to two decimal places?
-0.28
Suppose -3*m = 3*k - 6*m - 282000, -4*m = 4. Let i = k + 21001. What is i rounded to the nearest ten thousand?
120000
Suppose -26 + 69 = -v. What is v rounded to the nearest 10?
-40
Let r = -0.085388 - 9.683092. Let q = r - -10.788439. Let m = q + -1.02. What is m rounded to 5 dps?
-0.00004
Let g = 2019.939 + -2031.4. Let j = -11.4 - g. What is j rounded to 2 dps?
0.06
Let v(d) = d - 6. Let g be v(10). Suppose g*o + 3*u = 76794, -u = u + 4. Round o to the nearest 1000.
19000
Let y = -80 - -558. What is y rounded to the nearest 10?
480
Let p(y) be the third derivative of -37*y**5/5 - y**4/12 - 2*y**3/3 - 4*y**2. Let g be p(6). What is g rounded to the nearest 1000?
-16000
Let f(m) be the second derivative of m**5/20 + m**3/3 - 3*m**2/2 - 2*m. Suppose -3*i + 0 = -6. Let p be f(i). Round p to 0 decimal places.
9
Let h = -0.01 + -6.89. Let m = -10 - h. Let w = -8.3 - m. What is w rounded to the nearest integer?
-5
Suppose 0*s + 5*s + 1925 = 0. Let i = -205 + s. Round i to the nearest one hundred.
-600
Let r = 285.0000246 + -285. What is r rounded to six decimal places?
0.000025
Let s = -0.1 + 0.6. Let c = 0.3 - s. Let k = -0.16 - c. What is k rounded to 2 decimal places?
0.04
Let o = -238168 - -4938174. Suppose -3*t - o = -5*c, 0 + 2 = -t. What is c rounded to the nearest 100000?
900000
Let i(b) = 12*b**2 - 2*b. Let q be i(-2). Suppose 2*h - q = 4*h. Let x = 59 + h. What is x rounded to the nearest ten?
30
Let b = 5.466052 + -5.1959. Let l = b - 0.27. Round l to 5 dps.
0.00015
Let f = -4.97 - 0.03. Let s = -5.5797658 + 0.579765. Let h = f - s. What is h rounded to 6 dps?
0.000001
Let a(f) = -f**3 + 20*f**2 - 9*f - 12. Let m be a(19). What is m rounded to the nearest 10?
180
Let r = 33186 - 91986. Round r to the nearest 10000.
-60000
Let f = 3616906 - -3783094. What is f rounded to the nearest one million?
7000000
Let u = 16 + -10. Let l be 91122/(27/u - 3). Let v be (l - -2)*800/6. What is v rounded to the nearest 1000000?
8000000
Let v = 75 + -80.9. Round v to the nearest integer.
-6
Let q = 6714274 + -6714263.3000049. Let l = 25.5 + -36.2. Let u = q + l. Round u to 6 decimal places.
-0.000005
Let u(o) = -4*o + 15600. Let k be u(0). Round k to the nearest one thousand.
16000
Let c be (-2 + 237/6)/((-3)/33760). What is c rounded to the nearest 10000?
-420000
Let r = -384 + 184. Round r to the nearest one thousand.
0
Let d = 170.972 + -174.27141. Let g = 3.3 + d. What is g rounded to 4 dps?
0.0006
Let s = -93.869 + 92.46911. Let n = s - -1.4. What is n rounded to 5 decimal places?
0.00011
Let r = 35.03 + -35. What is r rounded to 2 decimal places?
0.03
Let g = 2360 + -3308. Let n = g - 145. Let m = 1603 + n. Round m to the nearest one hundred.
500
Suppose -13266 - 2884 = -5*g. What is g rounded to the nearest one hundred?
3200
Let i be ((-4)/2 + -119)*-1. Let d = 181 - i. What is d rounded to the nearest one hundred?
100
Let m = 0.01 + 0.19. Let d = 0.20088 - m. What is d rounded to four decimal places?
0.0009
Let d = 0.022 - 0.021938. Round d to five decimal places.
0.00006
Let j = 3.045 - 0.005. Let p = -2.7 + j. Round p to 1 dp.
0.3
Let v = -16661 + 16658.99988. Let i = 2 + v. What is i rounded to four decimal places?
-0.0001
Let x = 584 + -584.546. What is x rounded to 2 dps?
-0.55
Let m = -208 - -131. Let y = -77.081 - m. Round y to two decimal places.
-0.08
Let s = 42 - 29. Let v = 18 - s. Suppose 2*m + 660000 = v*m. What is m rounded to the nearest one hundred thousand?
200000
Let y = -0.01737 + 0.0195. Round y to four dps.
0.0021
Let m = -86871 + -19129. What is m rounded to the nearest 10000?
-110000
Let y = 22 - 20.3. Let w = 2.14 - y. Let a = -3.16 - w. Round a to the nearest integer.
-4
Let g = -25.74 + 26. Let j = g + -0.355. What is j rounded to 2 decimal places?
-0.1
Let z = -0.15 + 34.15. Let h = z - 33.987. What is h rounded to two dps?
0.01
Let o = -0.05 + -0.13. Let f = -1.2 - -1. Let d = f - o. What is d rounded to 2 decimal places?
-0.02
Let j = 3.55 + -3.5919. Round j to three dps.
-0.042
Let a = 3.381022 + -3.82106. Let z = -0.44 - a. What is z rounded to 5 dps?
0.00004
Let b = -0.026 - -0.07. Let z = 0.1029 - b. Let n = z + -0.06. What is n rounded to 3 decimal places?
-0.001
Let n = -237127144.2208939 + 8.2208939. Let r = 237127123.2999913 + n. Let z = r + 12.7. What is z rounded to six dps?
-0.000009
Let t be 5/(-10) + 29/(-2). What is t rounded to the nearest 10?
-20
Let g = 67.390357 + -70.59042. Let o = 3.2 + g. Round o to five decimal places.
-0.00006
Let v = -0.11 + -0.19. Let x = 5274896.70000012 - 5274897. Let t = v - x. What is t rounded to seven dps?
-0.0000001
Suppose 3*w = -w - 32. Let v be 2/((6/3)/w). Let c be ((-2500)/v)/((-2)/39040). Round c to the nearest one million.
-6000000
Let a(q) = -218*q**3 - 12*q**2 - 9*q. Let y be a(-16). What is y rounded to the nearest 100000?
900000
Let j = -0.16146 + 0.16. What is j rounded to 4 dps?
-0.0015
Let f = -1 + 1.04. Let a = 0.08 + f. What is a rounded to 1 decimal place?
0.1
Let z be 5112008/36 + 12/(-54). Round z to the nearest 100000.
100000
Let k = -93.953 + 94. Let w = k - -131.953. Let o = 132.00000071 - w. Round o to seven decimal places.
0.0000007
Let n = -30 - 6. Let b = n - -18. Let f = b + 17.9972. What is f rounded to three decimal places?
-0.003
Let s = 18.2 + -18.19901. Round s to four dps.
0.001
Let k =
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{
"pile_set_name": "DM Mathematics"
}
|
+ 0*t + 493 - j. Let f(p) = -23*p**2. Give z(f(w)).
-69*w**2
Let o(j) = -6*j**2 + 23*j**2 + 10*j**2. Let v(a) be the first derivative of -a**2/2 - 125. What is o(v(h))?
27*h**2
Let j(w) = 153*w**2 + 7*w - 55*w**2 - 7*w + 415*w**2. Let z(k) = 2*k. Determine j(z(a)).
2052*a**2
Let o(m) = -2*m. Let y(k) be the third derivative of k**5/6 - 5*k**2 - 2. What is o(y(a))?
-20*a**2
Let f(t) = 2*t**2. Let b(n) be the first derivative of 53*n**2/2 + 119. What is b(f(u))?
106*u**2
Let v(p) = -610*p + 147. Let f(c) = -4*c. Give v(f(z)).
2440*z + 147
Let j(v) = -6703 + 12*v**2 - 6709 - 2*v + 13412. Let i(a) = 6*a. What is i(j(u))?
72*u**2 - 12*u
Let p(s) = -20*s**2 - 6*s - 24. Let o(z) = 20*z**2 + 5*z + 20. Let l(k) = 6*o(k) + 5*p(k). Let n(c) = -c**2. Give n(l(m)).
-400*m**4
Let x(d) = -225*d. Let h(p) = 18*p**2. Give h(x(r)).
911250*r**2
Let t(o) = -13*o**2 - 11*o**2 + 8*o**2 + 2*o**2. Let r(u) = -u. What is t(r(n))?
-14*n**2
Let f(q) = 9*q. Let w(d) be the second derivative of -d**6/120 + 5*d**3/6 + d**2 - 8*d + 2. Let j(r) be the second derivative of w(r). Give f(j(k)).
-27*k**2
Let o be (2 + 0 - -2) + 1. Let v(p) be the third derivative of 0*p - o*p**2 - 1/12*p**5 + 0*p**4 + 0 + 0*p**3. Let i(n) = -n**2. What is v(i(a))?
-5*a**4
Let w(s) = -26*s + 5. Let t(q) = 5*q - 1. Let a(f) = -5*t(f) - w(f). Let o(l) = -41*l**2. Determine a(o(m)).
-41*m**2
Let k(w) = -w + 3370 - 3370. Let d(j) = -3*j**2 + 21*j. What is d(k(y))?
-3*y**2 - 21*y
Let k(h) = 13*h**2. Let y(q) = 2891*q**2 - 295*q + 885. Let u(r) = -59*r**2 + 6*r - 18. Let t(o) = 295*u(o) + 6*y(o). Calculate t(k(l)).
-9971*l**4
Let u(t) = 50*t**2. Let r(y) = 3*y**2 + 6*y. Let q(w) = 6*w**2 + 10*w. Let g(n) = -3*q(n) + 5*r(n). What is u(g(a))?
450*a**4
Let k(w) be the second derivative of -3*w - 1/3*w**3 + 0 + 0*w**2. Let n(h) = -2*h. Give n(k(b)).
4*b
Let i(b) be the first derivative of b**3/2 + 2*b - 5. Let y(q) be the first derivative of i(q). Let h(a) = -10*a**2. Give y(h(c)).
-30*c**2
Let t(r) = -2*r - 2 + 2. Let p(j) = -j**3 - 7*j**2 + 9*j + 10. Let k be p(-8). Let d(u) = 3*u**2 - u**k + 6*u**2 - u**2. Determine t(d(z)).
-14*z**2
Let n(p) be the third derivative of -p**5/40 - 17*p**3/6 + 37*p**2. Let h(w) be the first derivative of n(w). Let j(m) = -8*m. What is j(h(q))?
24*q
Let a(f) = -2*f. Let g(v) = 4*v + 2. Let s(l) = l - 3. Let w(r) = 2*g(r) + s(r). Give a(w(h)).
-18*h - 2
Let a(p) be the third derivative of p**5/20 + 2*p**2 - 15. Let m(b) = b - 68. Determine m(a(z)).
3*z**2 - 68
Let l(d) = 4*d. Suppose -18 = -5*q + 2. Let c = 14 - q. Let b(f) = -20 + f + c + 10. What is b(l(s))?
4*s
Let r(d) = 45*d**2 - 6934. Let c(s) = 2*s**2. Determine r(c(b)).
180*b**4 - 6934
Let z(y) be the second derivative of y**5/120 - 2*y**3/3 - 8*y. Let w(b) be the second derivative of z(b). Let r(q) = 43*q. Determine r(w(d)).
43*d
Let k(u) be the second derivative of -u**4/4 - u. Let n(m) be the first derivative of -m**3 - 377. Calculate k(n(d)).
-27*d**4
Let o(i) = 48824*i + 19 + 8 - 48822*i. Let d(k) be the second derivative of k**4/6 + k. Determine o(d(m)).
4*m**2 + 27
Let z be -2 + (-3 - 3*-2). Let l(k) = 125*k - 145*k + 1 - z. Let s(r) = -r. What is l(s(d))?
20*d
Let x(o) be the second derivative of -o**4/6 - o - 10. Let h(r) = -59*r. Give x(h(m)).
-6962*m**2
Let g(b) = -7*b**2. Let p(x) = -36*x**2. Let y(k) = 21*g(k) - 4*p(k). Let f be (20 - 9) + 2/1. Let z(j) = -f + 13 - j**2. What is z(y(l))?
-9*l**4
Let k(z) be the second derivative of -z**3/3 - 2*z + 31. Let y(f) = 2*f**2 + 2*f. Give y(k(t)).
8*t**2 - 4*t
Let i(w) = -w**2 - 2*w. Let c be 6*3/(6/11). Let y = 33 - 39. Let z(q) = -5*q**2 - 11*q. Let h(b) = c*i(b) + y*z(b). Let l(t) = t. What is h(l(a))?
-3*a**2
Let x(v) be the second derivative of 0 + 35/12*v**4 + 4*v + 0*v**3 + 0*v**2. Let o(n) = -2*n. Determine x(o(d)).
140*d**2
Let f(b) be the third derivative of b**5/30 + 9*b**2 - 14. Let k(z) = 573*z**2. Determine f(k(u)).
656658*u**4
Let s(p) = 4*p. Let g be (-2)/(-7) + 984/84. Suppose -13 = -5*b + g. Let h(c) = -b*c - c + 5*c. What is s(h(q))?
-4*q
Let m(x) = -x**2 + 4*x**2 - x**2. Let y(p) be the third derivative of p**6/720 + 5*p**4/12 - 3*p**2. Let n(z) be the second derivative of y(z). Give m(n(i)).
2*i**2
Let c(l) = 4*l**2. Let i(y) = y**2 + 6*y + 6. Let r be i(-7). Let b(a) = 7*a - r*a + 4*a. Give c(b(d)).
16*d**2
Let p(r) = -774*r**2 + 0*r + 0*r + 773*r**2. Suppose 0 = -z + 4*z. Let x(u) = -u**2 - 2*u**2 - 5*u**2 + z*u**2. Give x(p(t)).
-8*t**4
Let j(v) = 31612*v. Let l(g) = -12*g. Calculate j(l(h)).
-379344*h
Let y(m) = 555*m**2. Let s(w) = 222 + 2*w**2 - 126 - 96. What is s(y(i))?
616050*i**4
Let n(s) = -3*s**2. Suppose -3*t - z = -0*z - 9, -2*z - 3 = -t. Let k(q) = -q + t*q - q. Determine k(n(m)).
-3*m**2
Let r(n) = 2*n. Let g(q) = -q**3 - 2*q**2 + 2*q + 3. Let f be g(-3). Let l(t) = 4*t - 21*t + f*t. Give r(l(k)).
-22*k
Let a(o) = -109021*o**2 + o + 14. Let r(z) = 2*z. Calculate r(a(m)).
-218042*m**2 + 2*m + 28
Let h(c) = 2612 - 2612 + 5*c. Let t(p) = p**2. Let n(d) = 9*d**2. Let y(k) = n(k) - 6*t(k). Give h(y(s)).
15*s**2
Let o(m) be the first derivative of -5*m**6/72 + 28*m**3/3 + 28. Let f(r) be the third derivative of o(r). Let p(j) = -3*j**2. What is f(p(b))?
-225*b**4
Let j(t) = 12*t**2 + 16*t + 16. Suppose -4*z - 2 - 62 = 0. Let a(h) = h**2 + h + 1. Let s(k) = z*a(k) + j(k). Let v(m) = 123 - m - 123 + 4*m. What is v(s(p))?
-12*p**2
Let i(a) = 5*a**2. Suppose 5*f + 6 = 26. Suppose f*g - 6*g = 0. Let t(n) = 0*n + g*n - n. What is t(i(z))?
-5*z**2
Let v(h) = -5*h**2. Let q(z) be the second derivative of -7*z + 2/3*z**4 + 0*z**3 + 0*z**2 + 0. What is v(q(n))?
-320*n**4
Let t(r) = -47*r**2. Let a(q) = 3437*q. Determine t(a(f)).
-555209543*f**2
Let b(l) = 18*l**2. Let o(q) be the third derivative of 0*q**3 + 25*q**2 + 1/30*q**5 + 0 + 0*q**4 + 0*q. Determine o(b(s)).
648*s**4
Let q(o) = 5*o**2. Let l(y) = -7*y**2 - 347*y + 347*y. Give q(l(p)).
245*p**4
Let h(w) = -13*w. Let g(n) = n**2 - n - 1. Let z(l) = -l**2 - l - 1. Let c(i) = g(i) - z(i). What is c(h(d))?
338*d**2
Let g(w) = w**2. Let l(o) = 3*o**2. Let a(q) = 12*g(q) - 5*l(q). Suppose -4*p - 2*x + 10 = -3*x, -p = 2*x + 2. Let f(u) = 117 + 2*u**p - 117. Give a(f(k)).
-12*k**4
Let z(j) = 7670 - 7670 - j. Let f(k) = 144*k**2. Give z(f(t)).
-144*t**2
Let n(t) = 3*t**2. Suppose 5*z + 2*r - 18 = -r, 2*z - r - 16 = 0. Let y(o) be the first derivative of 0*o - z + 0*o**2 - 4/3*o**3. What is n(y(k))?
48*k**4
Let a be ((-2)/3)/((-3)/(-9)). Let k(w) = w**2 - 3*w. Let b(l) = -l. Let h(v) = a*k(v) + 6*b(v). Let f(m) = -6 + 2 - 3*m + 4. Give h(f(u)).
-18*u**2
Let j(q) be the first derivative of -56*q**2 - 1. Let p(k) be the second derivative of -k**3/3 - 3376*k. Determine p(j(z)).
224*z
Let l(n) = 3*n. Let m be (15/(-13) + 4/26)*-1. Let w(s) = -s - 1. Let u(t) = t**2 + 2*t + 7 - 2 + 3*t. Let h(f) = m*u(f) + 5*w(f). Determine l(h(x)).
3*x**2
Let n(x) = -12*x**2 - 40*x. Let k(u) = -9*u**2 - 27*u. Let r(f) = 7*k(f) - 5*n(f). Let p(v) = -6*v. Calculate r(p(w)).
-108*w**2 - 66*w
Let g(l) = -3*l. Let s be (-7)/((-7)/6) - 2. Suppose 0*j - 5*v = 3*j - 11, s = j + 2*v. Let o(k) = 4*k**j - 4*k**2 - k**2. What is o(g(d))?
-9*d**2
Suppose 2*y + 2*p + 8 = -2*p, -4*y = -2*p - 14. Let h(b) = 7*b**2 - 5*b**2 - b**y. Let i(r) = 8*r**2 - 32*r + 21*r + 11*r. What is h(i(q))?
64*q**4
Let d(g) = -g**2. Let y(w) = 3*w - 408. Calculate d(y(x)).
-9*x**2 + 2448*x - 166464
Let p(x) = 8*x**2 - 5*x + 5. Let f(h) = -11*h**2 + 6*h - 6. Let w(l) = -5*f(l) - 6*p(l). Let z(b) = 14*b - 1. Determine z(w(s)).
98*s**2 - 1
Let q(d) = 4*d + 128 - 128. Let m be 7 + 2 - (-2)/(-2). Let g(p) = -1 + m + 2*p - 7. What is g(q(z))?
8*z
Let x(g) = -g**2 + 3*g. Let q(u) = -2*u**2 + 4*u. Let w(r) = -3*q(r) + 4*x(r). Let i(z) = -14*z. Calculate i(w(n)).
-28*n**2
Let d(o) = 13*o**2 + 8*o. Let s(i) = -5*i**2 - 3*i. Let c(g) = -3*d(g) - 8*s(g). Let l(k) = 4*k**2. What is c(l(t))?
16*t**4
Let a(l) be the first derivative of l**2 - 8 + 2 + 1 - 1. Let r(y) = -6*y**2 + 9*y - 9. Let c(w) = -w + 1. Let o(u) = 9*c(u) + r(u). Determine a(o(x)).
-12*x**2
Let j(l) = -32568*l**2. Let i(r) = -14*r**2. Give i(j(y)).
-14849444736*y**4
Let n(l) = 6*l**2. Let f(w) = -10*w - 1158. Calculate f(n(u)).
-60*u**2 - 1158
Let s(b) = -23*b. Suppose -112 = -8*c + 8. Let f
|
{
"pile_set_name": "DM Mathematics"
}
|
positive.
q**(4/11)
Simplify ((v/(v**(-4)/v)*v**(1/10)*v**(5/2)*(v/(v*v**(-3/10)))/v)**(4/29))**41 assuming v is positive.
v**(6478/145)
Simplify ((w/((w**(-5)/w)/w))**(-2/49)*(w/(w**(-2/3)*w))**(-4/3))**(2/19) assuming w is positive.
w**(-1072/8379)
Simplify ((l*l/l**(-2/5)*l/l**9)/((l**(-9)*l)/l*l*l/l**2*l*l))/((((l/(((l*l**(-1/2))/l*l)/l))/l)/l**(-1/3))/(l**3/(l**(-1/2)/l))) assuming l is positive.
l**(76/15)
Simplify (v**(-3)*v/((v/(v**(2/9)/v))/v))/((v*v**5*v)/v*v**6)*((v*v**(-7))/v*v**(-4))/((v/v**(-1/3))/v*v)**(-37) assuming v is positive.
v**(212/9)
Simplify ((((b**4)**(3/5))**3)**(-22))**(-1/29) assuming b is positive.
b**(792/145)
Simplify (a/(a*a**(-1/7)*a)*a*a*a**(2/3))**49/((a**(-3/2)*a**(2/7))/(a/(a*a/(a*a/a**(-2))*a)*a*a**(-1))) assuming a is positive.
a**(3859/42)
Simplify x**(4/7)*x**(-1/5)*x**(5/3)*x*(x**(-1/4)/x)/x*x*(x**7*x)/x*x*x*x/x**1*x/((x*x**(-2/19))/x)*x*x**(1/7) assuming x is positive.
x**(104029/7980)
Simplify ((r**(-6)/r)/r**(-2))/(r**(-2)*(r/(r/r**(1/3)))/r*r*r)*r**3/r*r**(-5)*r**(-1/2)/(r*r**(-4/7)*r) assuming r is positive.
r**(-389/42)
Simplify (u**(4/3)*u**(2/13)*u/(u/(u*u**(-2)/u))*u*((u/(u*u**1))/u)/u)/((u**(-1))**(3/5)/((u**0/u)/u**(-3))) assuming u is positive.
u**(17/195)
Simplify ((((l*(((l**(-1)*l)/l)/l)/l)/l)/l*l)**8)**(-9/2)*(((l/(l/((l*l**(-1/4))/l*l)))/l)/l**(2/39))**(1/21) assuming l is positive.
l**(353761/3276)
Simplify ((((g**8)**(-1/5))**44)**9)**(4/21) assuming g is positive.
g**(-4224/35)
Simplify ((m*m**(2/9)/m)**2)**(-1/3)*(m**(-12)/m**(-1/16))**(-1/24) assuming m is positive.
m**(1207/3456)
Simplify ((f/(f*f/(f/((f/(f*f**0))/f))))**48)**38/(f**(2/9)/(f**12*f))**(-8) assuming f is positive.
f**(15496/9)
Simplify ((f*f*f/f**13*f*f**5)/((f/(f*f*f**(-2)*f))/f**(-6/17)))**(-11/3) assuming f is positive.
f**(814/51)
Simplify (((u*(u/u**(-4/7))/u*u)**(3/35)/((u**(4/5)*u)/(u/u**(-9))))**39)**(3/14) assuming u is positive.
u**(241371/3430)
Simplify (d**(-1/2))**(-11/6)*(d*d**(2/7))**(4/21)*(d**0*d)**(1/65)/((d/(d*d**(-1/3)*d))/d**(-1/7)) assuming d is positive.
d**(65003/38220)
Simplify ((i*i**1/i)**8/(i*(i/(i/((i*i/(i/(i*i**(2/9))))/i)))/i*i)**50)/(((i**3*i)/((i*i/i**(-7)*i)/i))/(i**(-2/3))**(2/131)) assuming i is positive.
i**(-115685/1179)
Simplify ((n/(n*n/(n/n**(-2/9))*n))/n*n**(-2/9)*(n/(n/n**(-2/7)*n))**(-34))/(((n/(n*n/(n*((n**(1/3)/n)/n)/n)*n)*n)/n)/n*n**(-7))**48 assuming n is positive.
n**(4212/7)
Simplify (((p/p**(-1/4))/(p*p/(p*p**(-26))*p))/(p/(p**(-27)/p)*p*p**(-29/5)))**(7/6) assuming p is positive.
p**(-7133/120)
Simplify (d**(-1))**(-12)/((d*d**(2/5))/(d/d**(-3/5)))*(d**(-1/2)*d)/d**(1/4)*d**2/d**(-4/7) assuming d is positive.
d**(2103/140)
Simplify ((j/j**(-1))**(-9)*j**5*j**3)/((j**(-3/2)/j*j*j/(j/(j/((j**3*j)/j))))/(j**0)**(-30)) assuming j is positive.
j**(-13/2)
Simplify (((h*h**(2/11))/h*h*h*h**(-1/12)*h)/(h**16*h*h)**(4/3))**(26/5) assuming h is positive.
h**(-35867/330)
Simplify (h**(1/5)*h**(1/2))/(h/(h**(-1/3)*h))**7*((h/(h**(3/8)*h))/h**(-2/9))/((h*h**(-2/13))/(h*h**(-1/2))) assuming h is positive.
h**(-9979/4680)
Simplify ((w/(w**(2/5)*w))/(w*w**(-5)))**(-6/7)*(w**(-6)/w**6)/(w*w**(1/4))**(14/3) assuming w is positive.
w**(-4393/210)
Simplify j*j**(-9/4)*j*j**(-13/4)*j**21/(j**38/j*j) assuming j is positive.
j**(-41/2)
Simplify ((v/(v*v**10))/v)**(-1/81)*v**8*v/(v/(v*v/(v**(-50)/v)*v))*v assuming v is positive.
v**(5114/81)
Simplify (c**(-4)*c**7)/(c**(-2/3))**(-3/34)*((c*c/(c/(c/(c*c/(c/(c/(c*c**1)))))))/c)**(-32/7)/(c**(-1)*c)**(-1/10) assuming c is positive.
c**(-194/119)
Simplify (((d**2*d*d)/d*d)**35)**44*((d**(-1/4)/d)/(d*(((d/(d/(d/d**(-8))))/d*d)/d)/d))**(-8/13) assuming d is positive.
d**(80154/13)
Simplify ((b/b**(2/19))/b*b*b*b*b*b**(3/4))**(-36)*b**(-5/3)/(b**(-8)*b)*b/(b/((b**(-5/6)/b*b)/b)*b)*b/b**(-1/4) assuming b is positive.
b**(-12423/76)
Simplify ((r/r**1)**(-48)*(r**(1/4))**(-4))/((r*r/(r/r**2)*r)/r**(-1/3))**(4/7) assuming r is positive.
r**(-73/21)
Simplify (p**11)**(-11/4)/(p**0/p**(-8/15)) assuming p is positive.
p**(-1847/60)
Simplify ((w**(2/17)*w)/(w/(w**(-6)*w))*w*w**6*w*w**(-3))/((w**(-6)*w*w*w**1/w*w)/(w**3/w**(-4))) assuming w is positive.
w**(172/17)
Simplify ((f*f**(2/7))**3*f**(-1/5)/(f*f*f/(f*f**(-7))))/((f**(-2/3))**(-2/63))**7 assuming f is positive.
f**(-5189/945)
Simplify b**(-42)/((b*b**(-16))/b)*(b**(1/2)*b*b)/b*b**(-27) assuming b is positive.
b**(-103/2)
Simplify (((z**(1/4))**8*z**4*z/(z**(2/17)/z*z*z)*z*z*z)**(-2/95))**32 assuming z is positive.
z**(-9664/1615)
Simplify ((o*o/((o/(o/o**0))/o))**(-2/57))**13*o**(-2/11)*o**(-5)/o*o**(-3)/(o/o**(-1/3)) assuming o is positive.
o**(-7451/627)
Simplify ((u*u/(u**(-2/13)/u)*u)/(u**(-3/4)*u)*u**(-15/7)/(u*u**(-1/5)))**(-40) assuming u is positive.
u**(-3498/91)
Simplify (t/t**(5/3)*t*t**2)/(t**(-1))**21*(t/(t*t**(-2)*t*t*t)*t*(t*t**(-1/4))/t)/(t*t**(-1/3))**(19/3) assuming t is positive.
t**(679/36)
Simplify ((s*s/(s**(-2/5)*s))**48)**16*(s**1*s*s*s/(((s**7*s*s)/s)/s))**49 assuming s is positive.
s**(4641/5)
Simplify (((b**(-2/5))**(-2/5)*(b*b**(2/19)/b)/(b*b**(-2/7)*b))**(1/8))**(-17/5) assuming b is positive.
b**(40953/66500)
Simplify ((r**(-9)/((((r/(r**(4/5)*r))/r)/r)/r))/((r*r*r**(-1)*r)/r*r*r)**16)/(r**(5/6)/r**(-4)*(r**(-2/7))**(2/35)) assuming r is positive.
r**(-17057/294)
Simplify ((u/(u**(2/31)*u))/u**(-18)*(u*u**(8/5))/u*u**(4/17))**(-8/15) assuming u is positive.
u**(-416768/39525)
Simplify ((o*o**2)**(12/17)*(o**3*o)**(1/15))**(14/3) assuming o is positive.
o**(8512/765)
Simplify ((o**(-1))**(1/73)*o**1*o/(o*o/(o/(o**(-3)*o))*o))/(o/(o/((o*o**(-1/7)*o)/o*o))*o/o**4*o*o*o*o*o)**(4/27) assuming o is positive.
o**(723/511)
Simplify (n**(-2))**(-50)*n**1/(n/n**(-3/5))*(n**(-2)*n)**(2/41)/(n**(-2)*n*n**(-3)) assuming n is positive.
n**(21187/205)
Simplify (w/(w/w**(-16)))/w**(-38)*w**(-2/7)/(w*w*(w*w*w**(-2/13)/w)/w) assuming w is positive.
w**(1808/91)
Simplify (s**1*s**(-1/2))**(-47)/((s**(-1/4)*s)/(s*s/(s*s*(s*s**(-1)*s*s)/s*s)))**(4/3) assuming s is positive.
s**(-163/6)
Simplify (r**(1/6)/r**33*(r*r**10)/(r/(r/(r/(r*r*r**21*r*r)*r))))**19 assuming r is positive.
r**(133/6)
Simplify ((s*s/(s*s**6))/s*s/(s/(s**5*s*s))*(s**5/s*s)/s*s**4)/((s*s**(1/3))**39*s*(s*s**5*s)/s*s**8*s) assuming s is positive.
s**(-59)
Simplify ((t**(1/3)*t*t/t**(2/11))/(t**(-1/2)*t*t/(t/(t/(t**(2/13)*t)))))/(((t*t*(t**(-1/11)/t)/t)/t*t/(t/(t**4/t)))/(t**4/t**(3/4))) assuming t is positive.
t**(5399/1716)
Simplify (((t**(1/3)/(t/t**(3/10)))**(-38))**50)**(2/13) assuming t is positive.
t**(4180/39)
Simplify ((m*m**(1/7)/m*m)**(-2/9)/((m**15/m)/((m*(m*m**(-16)*m*m)/m)/m)))**46 assuming m is positive.
m**(-81880/63)
Simplify ((g/((g/(g**(6/5)*g))/g)*g**(2/9))/(g**(-2)/g*g**3*g))**(-14/5) assuming g is positive.
g**(-1526/225)
Simplify z**(-8)*((z**8/z)/z)/z*(z**(-2/3))**(-38)*((z*z/(z/z**(-1/4)*z)*z)**(-8/5))**49 assuming z is positive.
z**(-547/15)
Simplify ((x**(2/9)*x)**(8/5))**(2/25)*(((x/x**(-7))/x)/(x/x**(3/8)*x))/((x**(4/7)/x)/(x*x*x/(x*x/x**(1/6)*x)*x)) assuming x is positive.
x**(448981/63000)
Simplify (l/l**15)**(-42)/(l*(l*((l/(l*l/(((l*l**(-7/6))/l)/l)*l))/l)/l*l)/l*l*l*l*l)**3 assuming l is positive.
l**(1177/2)
Simplify ((n**(-2/7)*n)/n**(-5))/((n*n**1/n*n)/n)**(14/9)*(n/(n*n**(-5))*n)/(n/((n/(n*(n**6*n)/n*n*n*n))/n))*((n**(1/2)/n)/n*n)**(-49) assuming n is positive.
n**(2981/126)
Simplify (q**(-2)*q**(2/5))**(-2/5)*q*q/q**(-2/5)*q*q/q**1*q*q/(q*q**(-9))*q**6/q*q assuming q is positive.
q**(501/25)
Simplify ((x*x*x/x**(-3/4)*x)/x**5)**4/((x/x**(-1))**(-4/7)*x*x**1*x*x/(x*x**(-1/9)/x*x)) assuming x is positive.
x**(-187/63)
Simplify ((i/(i**2*i))**(-21)/(i**1)**(5/6))/((i/(i*i**0))**(-40))**(-6/11) assuming i is positive.
i**(247/6)
Simplify ((y**(-1))**(-1/9)*y**(-5)/y**(-5))/((((y*y**(2/5))/y)/y)/((y*y**(-1))/y))**40 assuming y is positive.
y**(-143/9)
Simplify ((p/p**1*p)**(12/11)*p**(7/4)/p**0)/(p/(p*p*p**(-7)*p)*p/(p*p*p**(-2/3)))**32 assuming p is positive.
p**(-19337/132)
Simplify (s**6/(s**(-4/9)*s))/((s*(s**(1/11)*s)/s)/s*s**(2/9))*s**3*s**(-6)*(s**0*s)/s**(-1/3) assuming s is positive.
s**(343/99)
Simplify u**3/u**(-3)*u/((u**0*u)/u)*(u/(u/(u*u*u**(-2/3))*u))/u*((u**1)**(-34))**50 assuming u is positive.
u**(-5081/3)
Simplify ((((p**(-1/13))**5)**(-1/7))**31)**(-28) assum
|
{
"pile_set_name": "DM Mathematics"
}
|
the units digit of 45339672?
2
What is the tens digit of 16174092?
9
What is the hundred thousands digit of 14876585?
8
What is the thousands digit of 1959730611?
0
What is the hundred thousands digit of 20209018?
2
What is the thousands digit of 2090954417?
4
What is the ten millions digit of 1945368900?
4
What is the tens digit of 137287711?
1
What is the ten thousands digit of 10112939?
1
What is the units digit of 291893078?
8
What is the thousands digit of 30408326?
8
What is the ten thousands digit of 6055747839?
4
What is the hundred thousands digit of 342455395?
4
What is the ten millions digit of 497984399?
9
What is the hundred millions digit of 693372965?
6
What is the hundred thousands digit of 145863750?
8
What is the hundred thousands digit of 17847179?
8
What is the thousands digit of 2363661203?
1
What is the hundred millions digit of 232008416?
2
What is the tens digit of 32250448?
4
What is the ten thousands digit of 2713407439?
0
What is the units digit of 46937214?
4
What is the ten millions digit of 614165879?
1
What is the units digit of 600709514?
4
What is the hundred thousands digit of 714550333?
5
What is the hundred thousands digit of 1193735948?
7
What is the hundreds digit of 288935739?
7
What is the ten thousands digit of 7540907?
4
What is the ten millions digit of 15215833?
1
What is the thousands digit of 1879725599?
5
What is the hundred thousands digit of 25537137?
5
What is the thousands digit of 22496706?
6
What is the tens digit of 88681303?
0
What is the hundred millions digit of 2844747668?
8
What is the hundreds digit of 67835020?
0
What is the hundred thousands digit of 25894476?
8
What is the units digit of 1771979052?
2
What is the ten millions digit of 59689069?
5
What is the hundreds digit of 384114291?
2
What is the millions digit of 639139204?
9
What is the tens digit of 558558269?
6
What is the tens digit of 201246989?
8
What is the ten thousands digit of 240045212?
4
What is the units digit of 685922991?
1
What is the units digit of 36507852?
2
What is the hundreds digit of 27462434?
4
What is the tens digit of 9734018?
1
What is the millions digit of 497411641?
7
What is the thousands digit of 127129?
7
What is the ten thousands digit of 18509946?
0
What is the tens digit of 28121449?
4
What is the hundreds digit of 558600663?
6
What is the tens digit of 30428317?
1
What is the hundred thousands digit of 3600007483?
0
What is the units digit of 91731953?
3
What is the units digit of 309434891?
1
What is the tens digit of 481778507?
0
What is the hundreds digit of 49558563?
5
What is the thousands digit of 1449182537?
2
What is the ten millions digit of 419951536?
1
What is the units digit of 102506679?
9
What is the millions digit of 583002160?
3
What is the ten thousands digit of 361116167?
1
What is the units digit of 717633140?
0
What is the thousands digit of 931693378?
3
What is the units digit of 578834010?
0
What is the tens digit of 2246622932?
3
What is the ten thousands digit of 118694659?
9
What is the thousands digit of 185546845?
6
What is the hundreds digit of 4586192?
1
What is the units digit of 23074035?
5
What is the hundred thousands digit of 5453817089?
8
What is the millions digit of 22254476?
2
What is the hundred thousands digit of 170244282?
2
What is the thousands digit of 7641174707?
4
What is the millions digit of 128087819?
8
What is the hundred millions digit of 155234732?
1
What is the hundreds digit of 275600400?
4
What is the ten millions digit of 800518500?
0
What is the units digit of 42201944?
4
What is the hundred thousands digit of 38259628?
2
What is the units digit of 82007777?
7
What is the ten thousands digit of 711783121?
8
What is the hundred thousands digit of 229223103?
2
What is the ten thousands digit of 43749734?
4
What is the hundred millions digit of 1861955037?
8
What is the hundreds digit of 46997002?
0
What is the tens digit of 8667311?
1
What is the ten millions digit of 55496088?
5
What is the millions digit of 171551382?
1
What is the thousands digit of 164209256?
9
What is the ten millions digit of 347790007?
4
What is the hundreds digit of 789986416?
4
What is the ten thousands digit of 7291097?
9
What is the thousands digit of 1654364099?
4
What is the ten thousands digit of 31903777?
0
What is the ten millions digit of 948522051?
4
What is the tens digit of 2672540951?
5
What is the ten millions digit of 1086986366?
8
What is the ten thousands digit of 41397834?
9
What is the ten millions digit of 1532765299?
3
What is the thousands digit of 9587552?
7
What is the hundred millions digit of 3035072596?
0
What is the ten millions digit of 131084834?
3
What is the hundred thousands digit of 253085816?
0
What is the hundreds digit of 505856085?
0
What is the ten thousands digit of 1208609876?
0
What is the tens digit of 21233644?
4
What is the hundred millions digit of 437110017?
4
What is the hundred millions digit of 1724027851?
7
What is the units digit of 978465235?
5
What is the millions digit of 41549918?
1
What is the ten thousands digit of 121371591?
7
What is the hundred thousands digit of 126978513?
9
What is the hundreds digit of 28676308?
3
What is the tens digit of 2688045147?
4
What is the ten thousands digit of 52159738?
5
What is the millions digit of 105008271?
5
What is the hundreds digit of 583484525?
5
What is the hundred millions digit of 108367340?
1
What is the units digit of 61205423?
3
What is the millions digit of 131668782?
1
What is the ten thousands digit of 112946209?
4
What is the hundred thousands digit of 216270255?
2
What is the hundreds digit of 153887529?
5
What is the thousands digit of 242149940?
9
What is the hundred millions digit of 3291733780?
2
What is the tens digit of 34695208?
0
What is the ten millions digit of 5501658869?
0
What is the hundred millions digit of 2580520140?
5
What is the ten millions digit of 332629925?
3
What is the ten thousands digit of 8871034?
7
What is the thousands digit of 1492633473?
3
What is the units digit of 364764027?
7
What is the tens digit of 309292435?
3
What is the hundred thousands digit of 65148636?
1
What is the ten millions digit of 60699380?
6
What is the millions digit of 2148940803?
8
What is the tens digit of 47233781?
8
What is the hundred thousands digit of 471686930?
6
What is the ten thousands digit of 84248428?
4
What is the ten thousands digit of 18004525?
0
What is the hundred thousands digit of 2658056465?
0
What is the hundred millions digit of 142914883?
1
What is the thousands digit of 116264406?
4
What is the millions digit of 45865134?
5
What is the ten millions digit of 447996246?
4
What is the thousands digit of 49443905?
3
What is the tens digit of 530647071?
7
What is the ten thousands digit of 3722754633?
5
What is the billions digit of 1736325160?
1
What is the tens digit of 658213348?
4
What is the hundreds digit of 160361548?
5
What is the hundreds digit of 273334251?
2
What is the billions digit of 1226805170?
1
What is the millions digit of 70208926?
0
What is the units digit of 97392505?
5
What is the hundred millions digit of 517405173?
5
What is the millions digit of 6684746079?
4
What is the ten thousands digit of 117916960?
1
What is the tens digit of 161176349?
4
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5
What is the hundred thousands digit of 721367480?
3
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2
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3
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1
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3
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6
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6
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9
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3
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2
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3
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2
What is the units digit of 756760590?
0
What is the hundred millions digit of 239505495?
2
What is the tens digit of 259357467?
6
What is the units digit of 17641930?
0
What is the hundred millions digit of 254751268?
2
What is the ten millions digit of 579660093?
7
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5
What is the hundred millions digit of 479664541?
4
What is the hundreds digit of 55090836?
|
{
"pile_set_name": "DM Mathematics"
}
|
Solve -4*c + 28 = -3*u, 2*u = 5*c + 77 - 91 for c.
-2
Solve 2*t + 5*z + 65 = 45, -4*t - z = 22 for t.
-5
Solve -300 = -2*f - 2*f - 296, -x + 9*f = 14 for x.
-5
Solve -4*x - 2*u + 122 = 118, -16 = -4*u for x.
-1
Solve -5*y + 3 = 151*u - 154*u, 0 = -5*y - 3*u + 27 for y.
3
Solve 0 = 3*h - 3*j - 39, 364*h = 367*h - 2*j - 34 for h.
8
Solve 60*a - 8 = d + 63*a, -3*a = 5*d + 28 for d.
-5
Solve -2*g + 7 = -n, 11*g = 5*g + 4*n + 18 for g.
5
Solve -4*i + 324 = -8*i + 272, 0 = 2*p + 5*i + 57 for p.
4
Solve 57*o + 9 = 58*o + 4*n, -9*n = -o + 22 for o.
13
Solve -2545 = -4*n + 2*r - 2549, -2*n + 14 = 3*r for n.
1
Solve -34*c = 3*b - 5, 2*c - b + 91 - 76 = 0 for c.
-1
Solve 2192*x - 2197*x + n = 8, -2*x - 5*n - 14 = 0 for x.
-2
Solve u + 94 = -5*c + 111, 3*c = -4*u + 34 for u.
7
Solve 3*y + 12 = 5*c, 4*c - 30*y - 13 = -31*y for c.
3
Solve -4*y + 12 = 0, 45 = 189*q - 186*q - 3*y for q.
18
Solve -5*x + 6*f + 39 = 0, -4*x + 0*f = 5*f + 2 + 6 for x.
3
Solve -5*k - 67 = -3*u, 5*k - 61 = 32*u - 244 for u.
4
Solve -5*d - 28 + 23 = 0, 4*d = -4*r + 12 for r.
4
Solve 0*f + 9 = -t - f, 8*t + 4*f + 32 = 0 for t.
1
Solve -19 = -4*o + 3*g, 3*o + 4*g + 106 - 114 = 0 for o.
4
Solve -4*p - 24 = 4*j, 4 = -3*p - 15*j + 14*j for p.
1
Solve -650*s + 41 = -652*s - 3*f, 5*f = 22*s + 413 for s.
-19
Solve 0 = -4*v + m + 1, -5*m = -217*v + 214*v + 22 for v.
-1
Solve 4*t = -q + 8*t + 29, -60 = -32*q - 0*t + 4*t for q.
1
Solve -4*n + 19 + 10 = -3*y, 5*n - 39 = 4*y for n.
-1
Solve 38*p - 34*p + 13 = -q, -3*p = 15 for q.
7
Solve 3*c + 4*c - 10 = 3*s - 6*c, 0 = -4*s + 4*c for s.
1
Solve -s = 5*k - 7, 8*k = -3*s + 67 - 60 for k.
2
Solve -4*t - 3*y + 36 = -7*y, 15*y + 170 = -4*t + 16 for t.
-1
Solve 118*h - 114*h = 4*q - 32, h = -3*q + 32 for q.
10
Solve 4*b - 31 = -3*p - 11, 5*b + 13*p + 12 = 0 for b.
8
Solve 6*l = q - 24, -3*l + 240 = -2*q + 243 for q.
-6
Solve 287*c = -2*r + 285*c + 10, -3*r = -c + 9 for r.
-1
Solve k - 35 = 5*j, -4*k - 2*j - 23 = -53 for k.
10
Solve -4*t - 192 = u - 211, 5*t = -5*u + 20 for t.
5
Solve -41*n + 60 = 3*s - 46*n, 4*s = -2*n + 2 for s.
5
Solve -2*v - 3*w = 1, 5*w = -4*v - 18 + 17 for v.
1
Solve 0 = y - u + 5, -283 = 2*y - 3*u - 272 for y.
-4
Solve 5*w = -2*k + 19, -190*k - 2*w + 8 = -189*k for k.
2
Solve 4*v - 64 = 19*c, -2*v - 257*c + 253*c = 22 for v.
-3
Solve -4*o = -z - 21, -3*o = -4*z - 48 + 16 for z.
-5
Solve -2*q = 5*a - 3, 3*a - 11415 = 2*q - 11426 for q.
4
Solve 3*c - 3 = -4*g, 1223*g - 1222*g + 6 = -3*c for c.
-3
Solve 2*d + 23 = -w + 9, 4*w - 3*d + 1 = 0 for w.
-4
Solve 2*h + d = 1, -5*d = 1232*h - 1230*h + 3 for h.
1
Solve 2*x = -2*k - 16, 527 = 3*k + 4*x + 555 for k.
-4
Solve 0 = 18*x - 11*x - g + 31, 0 = -2*x + 5*g + 10 for x.
-5
Solve -79 = -4*t - 5*h, -2*t + 2*h = 2 + 26 for t.
1
Solve 2*c = -3*i + 15, -20 = -2*c + 15*i - 19*i for c.
0
Solve 335*x + 83 = 328*x - 4*l, -2*x + 7*l - 40 = 0 for x.
-13
Solve 5*i - 5*z = -35, 3*z + 1401 = -i + 1410 for i.
-3
Solve 3*l - 2*i + 258 = 244, 0 = -5*i + 20 for l.
-2
Solve 4*z = 2*k + 10, k - 9 = -54*z + 49*z for z.
2
Solve -3*a + 5063*d - 13 = 5068*d, 4*d + 6 = 2*a for a.
-1
Solve 0 = 3*m - 6*m + b - 14, -5*m - 4*b - 12 = 0 for m.
-4
Solve -188*n - 3*r + 12 = -197*n, 16 = -n + 4*r for n.
0
Solve 5*g - 194 = -3*w - 152, 40 = w + 6*g for w.
4
Solve 5*x - 4*m = 199 - 169, 50 = -5*m for x.
-2
Solve -5*p - 212 = 2*f - 184, 0 = f - 16*p - 97 for f.
1
Solve 714*v = 713*v + 5*f + 26, -3*v + 5*f + 28 = 0 for v.
1
Solve -2*j - 89 + 93 = y, 0 = 2*j for y.
4
Solve 0 = -4*o + 3*q - 55, -q + 5 = -0 for o.
-10
Solve 7012*a - 7008*a = 7*k + 25, -20 = 5*k - 5*a for k.
-3
Solve 8*c - 85 + 62 = 3*c + r, -4*r = -3*c + 24 for c.
4
Solve 3*v - 2*k + 4 = 0, -3*v + 109 - 110 = -5*k for v.
-2
Solve -4*t + 6 = 3377*f - 3376*f, -3*f - 42 = -3*t for f.
-10
Solve 0 = -5*k - 10, -13 = -2*f - 3*k - 15 for f.
2
Solve 4*w = -486*q + 419*q - 12, 4*q - 15 = 5*w for w.
-3
Solve 3*o + 70 = -2*k + 61, -5*o = 15 for k.
0
Solve -3*v + 3 = -4*w + 3*w, 5*w - 18 = 4*v for v.
3
Solve 3*j = -2*n - 4 - 9, -7*j = 5*n + 32 for j.
-1
Solve -4*b + 14 = 2*y, y - 13 - 2 = -4*b for b.
4
Solve 473*l - 461*l - 150 = -2*t, -2*t = -5*l + 71 for l.
13
Solve -44 = -11*d, 41*d + 32*d = j + 79*d - 29 for j.
5
Solve 5*m - 559*p = -563*p + 14, 5*m + 2*p = 22 for m.
6
Solve 5*k + 34 = 4*l, -37*k - 3*l + 27 = -41*k for k.
-6
Solve 66 = -6*o + 5*o + 5*t, -4*o - 8*t = -128 for o.
4
Solve -8*d + 7*d = -5*w - 2, -3*w - 48 = 2*d for d.
-18
Solve -5 = -4*i - d, -96 = -5*i + 6*d - 126 for i.
0
Solve 6*h + 33 = 2*h - 8*o + 56 + 89, 24 = 2*o for h.
4
Solve 0 = -3*j - 3*r + 6, -55 + 81 = -7*j + 3*r for j.
-2
Solve l - 24 = -2*p, 0*l = 5*p + 3*l - 62 for p.
10
Solve 0 = 2*q + 3*r - 8, 2*q = 5*r + 76949 - 76973 for q.
-2
Solve 10*m - 14*m = 5*j, -m - 1 + 14 = -2*j for j.
-4
Solve -204 + 179 = -5*x - 4*r, 0 = x - 3*r + 14 for x.
1
Solve -3295*d - 2*g = -3297*d, 2*d - g - 2 = 0 for d.
2
Solve -2*p = -86*j + 87*j + 1, -5*p - 13 = -j for p.
-2
Solve -3*p - 31*v + 18 = -30*v, 27*p - 2*v - 129 = 0 for p.
5
Solve -2*m = 681*f - 685*f - 6, -3*f - 5*m + 2 = 0 for f.
-1
Solve -2*u - 22 = -4*d, 5*d = -3*u - 301 + 345 for u.
3
Solve -68*v - 3*x - 28 = -72*v, -3*x + 14 = 2*v for v.
7
Solve 3*q - 26*r + 75 = 0, 5*q + 0 - 11 = -5*r + 9 for q.
1
Solve 5*c - 1400 = -3*x - 1405, 2*x + 2 = -3*c for c.
-4
Solve -4*c = -5*j + 26, 542*c = 537*c + 2*j - 24 for c.
-4
Solve 2*w + 15 = 5*s, -98*w + 4*s = -98*w + 4 for w.
-5
Solve -64 = -2*a - 5*j, 775 = 4*a - j + 779 for a.
2
Solve 24 = u - 5*x, -5*x = 4*u + 15 + 14 for u.
-1
Solve t = -4*i + 7, -4935*t + 4938*t - 5*i - 21 = 0 for t.
7
Solve -4*c + 2*n + 21 = -3, 0 = -4*c - 7*n + 3*n for c.
4
Solve -4*k = 4*s + 36, -5*k + 1483 = -5*s + 1448 for k.
-1
Solve m - 3*d + 5 = 0, -55*d + 70*d - 20 = 4*m for m.
-5
Solve -18*p + 8 = -19*p + 3*d, -6 = 5*p + 2*d for p.
-2
Solve -3*x - 23 = -5*t, -223*x + 227*x + 48 = -2*t for x.
-11
Solve -3*f + 1910*m = 1909*m - 10, 4*m = -5*f - 6 for f.
2
Solve -4*v + 8 = -2*a, 1631*a = 1631*a - 4*v + 16 for a.
4
Solve -5*r + o = -43, -r + 78 - 58 = -4*o for r.
8
Solve 5*z + 12 = u, -45*z - 18 = -4*u - 40*z for u.
2
Solve -5*a + 12 = -493*p + 491*p, -4*a + 8*p = -16 for a.
2
Solve 0 = 2*i + 5*p + 23, -2 = 2473*i - 2470*i + p for i.
1
Solve 248 = f - g + 242, 4*f - 5*g = 25 for f.
5
Solve -3*p = -4*t + 40, -200*p - 5*t = -196*p - 19 for p.
-4
Solve 5*v = -19*j + 24*j, 5*j + 7 = -2*v for v.
-1
Solve -10*j + 18 = -3*t, -64*j + 59*j + 23 = -t + 3*t for t.
4
Solve -15 = -5*d, -7*h + 13 = -5*h + 7*d for h.
-4
Solve 0 = -r + 3*k + 33, 2538*r - 33 = 2539*r + 3*k for r.
0
Solve -379*f + 4*c = -375*f, f + 4*c = -5 for f.
-1
Solve q = -5*z + 4, 3*q = 58*z - 60*z + 12 for z.
0
Solve 2*r - 14 = -2*l, 7*l - 5*r + 3 = 28 for l.
5
Solve 0*n - n = 5*v + 26 - 11, -5*v = -2*n for v.
-2
Solve 2118*y - 18 = -4*s + 2119*y, 0 = s + 2*y for s.
4
Solve 4*s + 106 = 10*h, 82*h - 80*h = -2*s + 10 for h.
9
Solve -2*n + h + 35308 = 35301, -5*n + 3*h + 17 = 0 for n.
4
Solve w + 8 = -2*f, -1519*w + 1518*w + 5*f = -20 for w.
0
Solve -53*i = 3*m - 58*i - 7, -4*m + 2*i = 14 for m.
-6
Solve -z - 7*k + 3*k = -4, -k = -4*z + 16 for z.
4
Solve 16822*b + 38 = 2*z + 16817*b, z - 19 = b for z.
19
Solve -184*t + 186*t - 5*f - 38 = 0, -5*f - 30 = 0 for t.
4
Solve 3*c + 4*u - 71 = 0, c = -6*u + 56 + 33 for c.
5
Solve 21*g = -23*g + 48*g, -o - 2 = -4*g for o.
-2
Solve 24 = 4*x + m, -4*x - 17 = 3*m - 49 for x.
5
Solve -q + 19 = 4*b, -243*b + 242*b + 13 = 3*q for b.
4
Solve 847*y - 5*z - 15 = 842*y, -2*z - 6 = 5*y for y.
0
Solve 2*l - 558*b = -557*b + 9, 0 = l - 3*b - 12 for l.
3
Solve 2*z = 4*c + 10, -95*c - 45 = 19*z - 98*c for z.
-3
Solve 0 = 3*j - h + 47 - 70, 3*j + 8*h + 49 = 0 for j.
5
Solve o - 12 = -2*p - 2, -5*p = -7*o - 63 for p.
7
Solve -275*h + 271*h - 13*d = -7, -5*d = 5*h - 20 for h.
5
Solve 5*a = -2*p + 36, -2*p + 31 = -2*a - 5 for a.
0
Solve 4*q + 32 = w, -5*w = -83*q + 86*q + 24 for w.
0
Solve 10*v - 123*i = -118*i + 5, 0 = -3*v - 3*i - 21 for v.
-2
Solve 0 = 4*r + 11*t - 7*t + 24, -108 = r + 18*t for r.
0
Solve 4*j + 8 = -n, -4*n + 2*j = -100 + 114 for n.
-4
Solve 5 = 13*u - 10*u + 5*n, -3*u + 4*n - 4 = 0 for u.
0
Solve 71*o + 3*i + 5 = 69*o, -5*o - 6 = i for o.
-1
Solve 646*m - 4*k = 655*m + 8, -4*m + 5*k = -10 for m.
0
Solve -106*o + 11 = -104*o - f,
|
{
"pile_set_name": "DM Mathematics"
}
|
)/4
Simplify (-2*sqrt(1584) - sqrt(44)*2*3)/((sqrt(36) - sqrt(144))/sqrt(9) - sqrt(44)/(sqrt(33)/sqrt(3))).
9*sqrt(11)
Simplify (-3*((sqrt(1911) + sqrt(1911) + -1*sqrt(1911))*-4)/((sqrt(3) - sqrt(33)/(sqrt(44)/sqrt(4))) + 1*sqrt(3)*-1) + -2)**2.
336*sqrt(13) + 91732
Simplify ((sqrt(360)/sqrt(10)*-6)/sqrt(12)*4 + 4*5*(5*sqrt(27))/sqrt(9))**2.
17328
Simplify 0 + 6*(3 + sqrt(684))**2 + (-2*sqrt(171)*-6)/sqrt(9) + 1.
228*sqrt(19) + 4159
Simplify (-1 + -4*((sqrt(1700) - -5*(sqrt(1700) + -2*sqrt(1700))) + 5) + 5*((sqrt(1700)*-1 - sqrt(1700))*-2 + -4 + 1 + sqrt(1700)))**2.
-29520*sqrt(17) + 2858996
Simplify -4 + (sqrt(605) + (sqrt(605) - (5 + sqrt(605))*-6) + sqrt(605) + 5 - ((-4*(sqrt(605) - -1*sqrt(605)) - sqrt(605))**2 - 2*(1*sqrt(605))**2)) + -4.
-47768 + 99*sqrt(5)
Simplify ((5*sqrt(45)/sqrt(3) - sqrt(15)) + sqrt(1815)*3)/(sqrt(720) + sqrt(20) - (sqrt(180) + 1*sqrt(180) - sqrt(180) - sqrt(5))).
37*sqrt(3)/9
Simplify 3 + (6*(-1*sqrt(343) + sqrt(343)) - (sqrt(343) - (2 + sqrt(343))*-2) - (-5 + (sqrt(343) + 1 + -5 - (-2 + (sqrt(343)*1 - sqrt(343) - sqrt(343))))))**2.
-210*sqrt(7) + 8587
Simplify ((sqrt(48)*6 - (sqrt(3) + 0 - sqrt(3) - sqrt(3))*4)*-3)**2 - (sqrt(33)/(4*(sqrt(11) + sqrt(33)/sqrt(3))) + 2).
-sqrt(3)/8 + 21166
Simplify (4*(sqrt(1377) + 4 + 0))**2 - (-3*(sqrt(153)*-2 + -1 + sqrt(68)/sqrt(4)))**2.
1062*sqrt(17) + 18454
Simplify 4*(sqrt(405) + -3 - (sqrt(5) - (sqrt(80)/sqrt(4))/sqrt(4))**2 - (sqrt(10) - sqrt(160)*-2)/(sqrt(18)*3)).
-12 + 32*sqrt(5)
Simplify 0 + 3*(-4 + (2 + 1 + sqrt(475) - (sqrt(1539) + -1 + sqrt(1539) + 4*sqrt(57)/sqrt(3)))**2).
-408*sqrt(19) + 16509
Simplify (-6*5*((-2*sqrt(539) + -2 - sqrt(539))*1 + -1 + -2 + sqrt(396) + 4))**2.
27000*sqrt(11) + 2228400
Simplify (((sqrt(6171) - (sqrt(6171)*-3 + sqrt(6171) + sqrt(6171)))*4 - sqrt(6171)) + sqrt(6171))/(sqrt(15)/((sqrt(50)*-1)/sqrt(10) - sqrt(5)))*1*-4.
704*sqrt(17)
Simplify 2*(sqrt(13) + 0 + -4) + (sqrt(468)*-1)**2*-3 + (sqrt(78)/(-2*sqrt(24)) - (-6*sqrt(78)*-2)/sqrt(6))**2.
2*sqrt(13) + 8621/16
Simplify (-1 + (2 + sqrt(1008))*6*-5 + -2)*3*1.
-1080*sqrt(7) - 189
Simplify ((sqrt(132) - -1*sqrt(132))*1)/(sqrt(36)/(sqrt(3) + sqrt(9)/sqrt(3)))*1 + (sqrt(99) + 4 + -1)*-3*-1.
9 + 13*sqrt(11)
Simplify 4 + 4 + (sqrt(77)/((sqrt(77)*2)/sqrt(7)) + ((sqrt(7) + 1)*-4 - (sqrt(49) - sqrt(196)/sqrt(4))/sqrt(7)))**2.
28*sqrt(7) + 439/4
Simplify (((2 + sqrt(637) - sqrt(637))*2 + -4 + -1*sqrt(637) + sqrt(637) + sqrt(637) + 5*(sqrt(637) - (3 + sqrt(637))) + sqrt(637) + 4)*-2 + 1)**2.
-1288*sqrt(13) + 10721
Simplify (2*(sqrt(190) - 4*-1*sqrt(190))*-6)/(-6*(2*sqrt(490) + sqrt(10))*3).
2*sqrt(19)/9
Simplify (1*sqrt(272))**2 + -5 + (-5*(sqrt(85) + (2*sqrt(85) - sqrt(85)) - sqrt(85))/sqrt(5))**2 + 3*(3 + (sqrt(153) - 3*sqrt(153))*3)**2.
-324*sqrt(17) + 17243
Simplify 6*((-2*sqrt(330)/(sqrt(10)*-1))/(-2*sqrt(275) + (-2*sqrt(275) + sqrt(275) - sqrt(275))))**2.
9/50
Simplify 1*((sqrt(180) + -1*(sqrt(180) + 2) + sqrt(180) + (sqrt(180) + 3)*4 + sqrt(180))**2 - (4*((1 + sqrt(180))*-1 - 2*sqrt(180)*2))**2).
-65436 - 240*sqrt(5)
Simplify -5 + 5 + ((sqrt(1216) + 2 + -5 - 5*sqrt(1216)*3) + 3 + 1)**2.
-224*sqrt(19) + 238337
Simplify (-4 + -6*sqrt(200)*-1 + -1)**2 + 3*(sqrt(200) - (4 + (sqrt(200) + 2)**2))*2.
-780*sqrt(2) + 5977
Simplify ((-3 + (sqrt(128) - (-3 + 1*sqrt(128))))*6 + 3*(1 + sqrt(128) + 3 - sqrt(128)) + -5)**2.
49
Simplify (-1*(sqrt(189)/sqrt(3)*-5 + -1 - (((sqrt(504) - sqrt(504)*2) + sqrt(504) + sqrt(504))/sqrt(8))/((sqrt(162)/sqrt(3))/sqrt(6))))**2.
32*sqrt(7) + 1793
Simplify (5 + 1*sqrt(832)*-1*2 + 4 + sqrt(832) + (1*sqrt(832))**2 + -3 + -1*sqrt(832))*6.
-96*sqrt(13) + 5028
Simplify -3 + 5 + ((6*(2 + sqrt(425)) - (6*sqrt(425)*3 + sqrt(425))) + 1)**2.
-1690*sqrt(17) + 71996
Simplify (((sqrt(288)*-4)/sqrt(12) - (sqrt(1944) + sqrt(1944)*-5))/(-1*sqrt(84)/(6*sqrt(7)*-4 - sqrt(7))))**2.
1280000
Simplify (sqrt(102) - (sqrt(102) + 1*sqrt(102) + sqrt(102))*3)/((sqrt(12)*2)/sqrt(2)) + -6*(sqrt(3400) + (-5*sqrt(3400) - sqrt(3400)))/sqrt(2).
296*sqrt(17)
Simplify 1 + (sqrt(66)*1*4 - ((sqrt(66) - 2*sqrt(66)*4) + sqrt(66)))/(-2*(3*(sqrt(294) - sqrt(294)*-1) - sqrt(294) - sqrt(294))).
-5*sqrt(11)/28 + 1
Simplify (6*(((0 + sqrt(175) - sqrt(175) - sqrt(175)) + sqrt(175))*4 + sqrt(175) - -2*sqrt(175)*5))**2 - (-3 + ((sqrt(175)*-1)**2 + -5 - (-2 + 0 + sqrt(175)))).
5*sqrt(7) + 762131
Simplify 2*((sqrt(66)/(sqrt(36)/sqrt(3)))/(1*sqrt(1100)*-1))**2*-6.
-3/50
Simplify (3*(1 + 2*(sqrt(192) + -1)*-6 - (2*sqrt(192)*-6 - 1*sqrt(192)*5)))**2.
9360*sqrt(3) + 44721
Simplify (2 + 5 + -2 + -2*sqrt(512) + -3 + -5 + 5)**2.
-128*sqrt(2) + 2052
Simplify ((sqrt(95) + 6*(2*sqrt(95) - sqrt(95)))*5*-1)/(((sqrt(400)*2)/sqrt(8))/(sqrt(360) - (sqrt(360) + sqrt(360) + sqrt(360) + 1*sqrt(360)))).
315*sqrt(19)
Simplify -2*(((3*(sqrt(468)*-4 - sqrt(468)) + -5)*-3*-6)**2 + -3) + 5.
-68250589 - 583200*sqrt(13)
Simplify -6*((-1 + sqrt(252))*5 + 1*sqrt(252)*1 - (-4*(sqrt(252)*2 + sqrt(252)) - (-3 + (sqrt(252) - sqrt(252)*-1)**2)))*-6.
3888*sqrt(7) + 36000
Simplify 1*(sqrt(117)*-1*-5*-3)/((sqrt(27) - (sqrt(972)*1 - sqrt(27) - sqrt(27)))/sqrt(3)).
5*sqrt(13)
Simplify (sqrt(136)*3*3 + (sqrt(136) - ((sqrt(136) - sqrt(136)*2*-1) + sqrt(136))) + sqrt(136))/((sqrt(288)/sqrt(6))/sqrt(6) - (sqrt(64)*-2)/sqrt(8)).
7*sqrt(17)/3
Simplify 2*((-3*sqrt(16)/sqrt(2))/(sqrt(4) + (sqrt(32)*1)/sqrt(8)) - (-4*sqrt(50) - (sqrt(200) + -3)))**2*4.
-1368*sqrt(2) + 13068
Simplify (-1*(sqrt(228) - sqrt(228)*3) + sqrt(228) + -1*(sqrt(228) - 4*sqrt(228)))/((6*2*sqrt(84))/(sqrt(448) - 1*sqrt(448) - sqrt(448))).
-4*sqrt(19)
Simplify 1 + (sqrt(432)*1 + -1 - (sqrt(432) - (sqrt(432) + sqrt(432) + 2 + -5)))**2 + 4.
-192*sqrt(3) + 1749
Simplify -2 + (5 + ((sqrt(567) - (sqrt(567) + 1) - sqrt(49)/sqrt(28)) + (sqrt(7) + sqrt(700) + sqrt(700)*-2 + sqrt(7))*-3 + -2)**2)*-1.
-15527/4 + 141*sqrt(7)
Simplify ((4 + (sqrt(80) + -1*sqrt(80) + 4 + sqrt(80))*2)**2 + 5)*-1 + 1.
-468 - 192*sqrt(5)
Simplify -5 + -2 + ((-1*sqrt(40)/sqrt(2))/sqrt(10) + (sqrt(2) - sqrt(14)/(sqrt(21)/sqrt(3)))*5)*-6 + 0.
-7 + 6*sqrt(2)
Simplify ((sqrt(76) + sqrt(76) + sqrt(76)*-4*-4 + sqrt(76))*4)/((3*sqrt(12)*-4)/sqrt(3)) + 4.
-19*sqrt(19)/3 + 4
Simplify -3 + (sqrt(125) - (4 + sqrt(125) + sqrt(125)*2))**2 - (-2*sqrt(125)*-3 + sqrt(125) - 2*-1*sqrt(125))**2.
-9612 + 80*sqrt(5)
Simplify (sqrt(24)/(sqrt(6)/sqrt(2))*-5*-6)/(((-2*sqrt(64))/sqrt(4))/(sqrt(48)/(sqrt(12) + sqrt(192)) + sqrt(4))).
-18*sqrt(2)
Simplify (-6*sqrt(76)*2 + (sqrt(76) - sqrt(76)*-3*-3))/((sqrt(4) - sqrt(24)/sqrt(6))*5 - sqrt(324)*-2).
-10*sqrt(19)/9
Simplify (((sqrt(648)*2)/sqrt(12) - sqrt(54)) + sqrt(54) - (sqrt(726) + sqrt(726)*-1)*-2)/((sqrt(162) + 1*sqrt(162))/(sqrt(6) + sqrt(600) + -1*sqrt(600))).
sqrt(2)
Simplify (((sqrt(693) - (sqrt(693) - -2*sqrt(693)))*-6)/((2*sqrt(110) - sqrt(110))/sqrt(10)) + (sqrt(315) - 3*2*sqrt(315))/(sqrt(605)*2 - sqrt(605)))**2.
1016127/121
Simplify (2*-3*(sqrt(130) + sqrt(130)*-3))/((-2*2*sqrt(70))/sqrt(7))*-6.
18*sqrt(13)
Simplify (4*(1 + (sqrt(405) - (sqrt(405) + 1)))*-5 - ((sqrt(405) - (sqrt(405) - (sqrt(405) + 0)*3 - sqrt(405))) + 5 + -5))**2.
6480
Simplify (-5 + sqrt(3564)*-5 - 3*sqrt(4400)*-6)**2 + -4 + 2.
-2700*sqrt(11) + 801923
Simplify ((sqrt(85) + 1*sqrt(85)*2 - sqrt(85)) + sqrt(85) + sqrt(85)*1*-4)/((-1*sqrt(2500))/(-4*sqrt(25)/sqrt(5))).
-2*sqrt(17)/5
Simplify 0 + (-2*sqrt(425)*1)**2 + ((5*(sqrt(425) + 1))**2 + sqrt(425))*-1 + -4 + -1.
-8955 - 255*sqrt(17)
Simplify (((sqrt(17) + sqrt(170)/sqrt(10))*-1 - ((-5 + sqrt(17))*-5 - sqrt(17))) + (sqrt(272) + 0 + sqrt(272) + sqrt(272) + 0 - sqrt(272))*1)**2.
-600*sqrt(17) + 3073
Simplify (0 + 6*(sqrt(700) + sqrt(700) + sqrt(700) + 1*-2*sqrt(700) + sqrt(700) + sqrt(700) + (sqrt(700) + 2 + sqrt(700))*-2)*5)**2*-2.
-1288800 - 144000*sqrt(7)
Simplify ((sqrt(567)*-2 - (4 + sqrt(35)/sqrt(5) - sqrt(7))) + sqrt(21)/sqrt(3) + -3 + sqrt(7) + 2*sqrt(7)*1)**2.
196*sqrt(7) + 1421
Simplify sqrt(52) + -3 + -1 + sqrt(52) + sqrt(52) + sqrt(52) - sqrt(104)/sqrt(2)*-2 - (2*(sqrt(325) + -3) + 4).
-2 + 2*sqrt(13)
Simplify 0 + sqrt(66)/sqrt(6) + (sqrt(11) + 2 + -3)**2 + (4*(sqrt(77) + (-2*sqrt(77) - sqrt(77))))/(sqrt(1008) - sqrt(1008)*1 - sqrt(1008) - sqrt(7)).
-5*sqrt(11)/13 + 12
Simplify (sqrt(891)*2 + -2 + sqrt(891)*-2*4 + (sqrt(891) + 0 + sqrt(891) + 0 - ((0 + sqrt(8
|
{
"pile_set_name": "DM Mathematics"
}
|
noseconds?
320377861440000000000
Convert 56.43797 days to minutes.
81270.6768
What is twenty-five quarters of a litre in millilitres?
6250
What is seven halves of a millimeter in micrometers?
3500
Convert 648.954 kilograms to nanograms.
648954000000000
How many micrograms are there in twenty-nine fifths of a milligram?
5800
How many millilitres are there in 55220.11l?
55220110
What is 1/10 of a kilometer in meters?
100
What is 6442.591 days in minutes?
9277331.04
Convert 190.84371 hours to days.
7.95182125
How many litres are there in 2.989074ml?
0.002989074
Convert 3.293004 litres to millilitres.
3293.004
How many millilitres are there in 0.1533128 litres?
153.3128
How many centimeters are there in 48556.77 nanometers?
0.004855677
What is 34560.25 millennia in centuries?
345602.5
How many nanometers are there in 326665.7 micrometers?
326665700
How many nanograms are there in 7/8 of a microgram?
875
Convert 923.3096 years to millennia.
0.9233096
What is 0.2709699nm in kilometers?
0.0000000000002709699
How many grams are there in 6/25 of a kilogram?
240
What is sixteen fifteenths of a minute in milliseconds?
64000
How many kilograms are there in 7/8 of a tonne?
875
How many nanometers are there in 33/5 of a micrometer?
6600
How many litres are there in 23.57697 millilitres?
0.02357697
Convert 233960.5m to nanometers.
233960500000000
How many nanometers are there in 1.54777 meters?
1547770000
What is twenty-one eighths of a milligram in micrograms?
2625
How many hours are there in 3/28 of a week?
18
How many months are there in 16.33956 centuries?
19607.472
How many centuries are there in 0.4947794 decades?
0.04947794
How many decades are there in 6/25 of a millennium?
24
How many grams are there in three fifths of a kilogram?
600
How many micrometers are there in 1/10 of a millimeter?
100
Convert 217.86336 months to years.
18.15528
How many months are there in 57.50569 decades?
6900.6828
Convert 3090366.3 hours to weeks.
18395.0375
How many months are there in 0.6949463 centuries?
833.93556
What is 8347.695 millennia in months?
100172340
What is five quarters of a year in months?
15
What is 18/5 of a litre in millilitres?
3600
How many meters are there in fifty-three fifths of a kilometer?
10600
What is 7/8 of a centimeter in micrometers?
8750
What is 5/4 of a century in years?
125
What is 6/5 of a litre in millilitres?
1200
How many nanoseconds are there in 860.6648 days?
74361438720000000
How many millimeters are there in 187664.7km?
187664700000
What is 5/8 of a litre in millilitres?
625
What is 73.59601l in millilitres?
73596.01
How many millimeters are there in one tenth of a kilometer?
100000
What is 0.5434691 decades in years?
5.434691
How many hours are there in 43/2 of a week?
3612
How many micrometers are there in three sixteenths of a centimeter?
1875
What is 7/4 of a century in years?
175
How many milligrams are there in 6/5 of a gram?
1200
How many millennia are there in 1348.6833 months?
0.112390275
What is eighteen sevenths of a week in days?
18
How many kilometers are there in 0.3262197 centimeters?
0.000003262197
What is twenty-seven quarters of a litre in millilitres?
6750
What is 9/16 of a kilometer in centimeters?
56250
How many grams are there in 5.663785mg?
0.005663785
Convert 9433.569ml to litres.
9.433569
What is 5/8 of a microgram in nanograms?
625
What is 5/8 of a kilometer in centimeters?
62500
What is 0.5340819 milliseconds in nanoseconds?
534081.9
What is 51/2 of a millimeter in micrometers?
25500
How many nanometers are there in five quarters of a micrometer?
1250
How many millimeters are there in 3/50 of a meter?
60
How many millilitres are there in eleven tenths of a litre?
1100
Convert 86.58931l to millilitres.
86589.31
How many litres are there in 3633.106ml?
3.633106
What is 0.0889531ml in litres?
0.0000889531
What is 1/5 of a litre in millilitres?
200
How many millilitres are there in twenty-one quarters of a litre?
5250
How many months are there in eleven eighths of a millennium?
16500
What is 2126.641um in nanometers?
2126641
What is fifty-nine quarters of a gram in milligrams?
14750
Convert 0.0035848m to nanometers.
3584800
Convert 0.9740419 centuries to months.
1168.85028
How many millilitres are there in one fifth of a litre?
200
What is fifty-one halves of a meter in centimeters?
2550
Convert 5342.54 nanoseconds to microseconds.
5.34254
What is 0.3762082 nanoseconds in seconds?
0.0000000003762082
How many millilitres are there in 37.0591 litres?
37059.1
What is 7/8 of a gram in milligrams?
875
How many centimeters are there in 3/8 of a kilometer?
37500
What is 790543.6l in millilitres?
790543600
What is 8/25 of a litre in millilitres?
320
How many nanograms are there in three tenths of a microgram?
300
Convert 409.8258 micrometers to meters.
0.0004098258
What is 53/5 of a meter in millimeters?
10600
What is eighteen fifths of a century in decades?
36
What is nine tenths of a tonne in kilograms?
900
What is eleven tenths of a millennium in centuries?
11
How many centimeters are there in one tenth of a meter?
10
What is 1/5 of a meter in centimeters?
20
How many grams are there in twenty-five quarters of a kilogram?
6250
What is three eighths of a meter in millimeters?
375
What is 815512.8 millilitres in litres?
815.5128
How many seconds are there in 2/27 of a week?
44800
Convert 5.805361 millimeters to meters.
0.005805361
What is 90261.51 decades in centuries?
9026.151
What is 6/25 of a meter in centimeters?
24
How many nanograms are there in five quarters of a microgram?
1250
Convert 862.5064 micrograms to kilograms.
0.0000008625064
How many kilometers are there in 9212.723cm?
0.09212723
How many nanometers are there in 3.906711 kilometers?
3906711000000
How many seconds are there in 1/5 of a day?
17280
How many years are there in 3/10 of a millennium?
300
How many micrograms are there in one twentieth of a gram?
50000
What is 8.014572km in meters?
8014.572
How many years are there in 291.23649 months?
24.2697075
Convert 57367.39g to kilograms.
57.36739
What is 291.4606 hours in microseconds?
1049258160000
How many micrograms are there in fourty-four fifths of a milligram?
8800
How many milligrams are there in three fifths of a gram?
600
How many milligrams are there in 9/10 of a gram?
900
How many months are there in three eighths of a century?
450
What is 18/5 of a meter in millimeters?
3600
What is 2023.094 nanometers in centimeters?
0.0002023094
What is 0.6746863 millilitres in litres?
0.0006746863
How many millimeters are there in twenty-five halves of a centimeter?
125
How many seconds are there in 92.83168 days?
8020657.152
How many years are there in 17/2 of a decade?
85
How many micrograms are there in 3/32 of a gram?
93750
What is twenty-nine halves of a milligram in micrograms?
14500
How many centimeters are there in seventy-seven halves of a meter?
3850
What is three fifths of a century in decades?
6
What is 8/3 of a day in hours?
64
What is 19/4 of a microgram in nanograms?
4750
What is 11/2 of a microsecond in nanoseconds?
5500
How many decades are there in 0.9633217 millennia?
96.33217
How many micrometers are there in six fifths of a millimeter?
1200
What is thirty-one fifths of a millimeter in micrometers?
6200
How many nanograms are there in 0.1815597ug?
181.5597
How many millilitres are there in 6/25 of a litre?
240
What is 1/5 of a kilometer in centimeters?
20000
How many nanometers are there in 3/32 of a millimeter?
93750
How many micrometers are there in 61.83195 kilometers?
61831950000
What is 260165.3kg in milligrams?
260165300000
What is 3/8 of a tonne in kilograms?
375
How many nanograms are there in 3514.742t?
3514742000000000000
Convert 18.13655l to millilitres.
18136.55
How many kilograms are there in 4.559692ug?
0.000000004559692
What is twenty-six fifths of a kilometer in meters?
5200
What is eighty-seven halves of a millimeter in micrometers?
43500
What is 4/3 of a year in months?
16
What is thirteen fifths of a litre in millilitres?
2600
Convert 89563.88g to tonnes.
0.08956388
How many centimeters are there in seven halves of a meter?
350
How many grams are there in 22.60775t?
22607750
Convert 5.695327 decades to millennia.
0.05695327
How many nanometers are there i
|
{
"pile_set_name": "DM Mathematics"
}
|
15 = -x. Is c a composite number?
True
Suppose -2*z = -8*z + 348. Let u = z + 37. Is u prime?
False
Suppose 25*c = 56793 - 20168. Is c composite?
True
Let l be (-6 + (-5 - -5))*(-482)/(-3). Let s = l + 2937. Is s composite?
False
Let k(y) = 58*y + 8. Let i be k(6). Let z = i + 663. Is z a prime number?
True
Suppose -17*n + 36 = -8*n. Suppose 29 = 2*h - 3*m, n*h - 4*m - 57 = m. Is h prime?
True
Let t = 6250 + -2916. Is t a composite number?
True
Suppose -2*s + 160 = -3040. Suppose 4*w - s = -4*v + w, -4*v + w = -1616. Is v a prime number?
False
Let x(v) = -291*v + 293. Is x(-10) a prime number?
True
Suppose 24148 = -625*f + 629*f. Is f a prime number?
True
Let y be (-4)/(-24) + 13/(-6). Is 160 + 1/(y/(-2)) composite?
True
Suppose 352*y - 5028479 = 321*y. Is y composite?
False
Suppose 4*x + 2 = -2. Is -4 + 649 + 5 + x a prime number?
False
Let r(w) = w + 11. Let h be r(-5). Is (2/h)/(6/6354) prime?
True
Suppose -45101 = -12*l - 5*l. Is l a prime number?
False
Let l = 1313 + -2438. Let j = -473 - -2335. Let q = j + l. Is q prime?
False
Suppose 0 = -3*k - 9 - 21. Is (-930)/(k/2) - -1 prime?
False
Suppose 18*d - 29455 = -4849. Is d prime?
True
Let n = -1550 + 2629. Is n composite?
True
Let h(c) = -c - 5. Let u be h(-5). Suppose l - 2 = -u. Suppose -2*z + b + 383 = l*z, -5*z + 5*b = -460. Is z a composite number?
False
Let p(h) = 3 - 1 - 5 - 20*h. Let d = -61 + 56. Is p(d) composite?
False
Let w(y) = -y**3 + 15*y**2 + y - 10. Let m be w(15). Suppose -1827 = -z - m*k, 10*z - 3*k - 1859 = 9*z. Is z a prime number?
True
Let c(p) be the first derivative of -3*p**4/4 - 14*p**3/3 - 7*p**2/2 - 8*p - 29. Is c(-6) a prime number?
False
Is 5 - 9/(63/(-10682)) a composite number?
False
Let y(c) = 25*c**2 - 25*c + 21. Is y(11) composite?
True
Let w = 1899 - -914. Is w composite?
True
Let d be 10/30 - 5/(-3). Let l be (d + 2)*6474/24. Suppose 2*f + c = l, -4*f + 4*c = -3*f - 553. Is f a composite number?
False
Suppose 3*i = -t + 6593, 19751 = 19*t - 16*t + 2*i. Is t composite?
False
Let w(y) = 210*y**2 - 8*y - 5. Is w(-6) prime?
True
Let h be (-1*1)/((-20)/17080). Suppose 3*j = 475 + h. Is j a composite number?
False
Is (-64056)/(-15) - (-3)/5 prime?
True
Let f(r) = 2*r - 39. Let t be f(15). Is (3 - t/(-6))*1706 composite?
True
Let l(b) = b**3 - b**2 + 3*b - 1. Let f be l(2). Suppose -5*x + 280 = -f*x. Is 3040/14 - (-10)/x prime?
False
Let y = 2 - -81. Suppose w = 1 + 1. Let k = w + y. Is k prime?
False
Suppose 2*l = 2*n + 4, -n - 2*l + 10 = -0*n. Suppose -10 = 2*k + m + n*m, -4*k + 20 = -4*m. Suppose -4*h = -5*f - 61, 0 = f - 4 + k. Is h composite?
False
Let f be (8/6 - 1)*-6. Let k be 1/f*(-4)/1. Suppose n - 48 = -g, -k*g + g + 4*n = -43. Is g composite?
False
Let m = 59 - 55. Suppose m*d - 7352 - 1260 = 0. Is d a composite number?
False
Let g be (-28)/(-4) - (-3 + 11). Let q(r) be the first derivative of -109*r**4/4 - r**3/3 + r + 1. Is q(g) prime?
True
Let m = -361 + 69. Let x = 49 - m. Is x composite?
True
Let d be (2 - -1)*(-1659)/9. Suppose 0 = 11*g - 3*g + 6816. Let y = d - g. Is y a prime number?
False
Suppose 2*b + 3*x - 146 = 4*b, 3*x + 55 = -b. Let g = b - -100. Is g composite?
True
Is (-954805)/(-68) + (-3)/12 a composite number?
True
Suppose -11*j + 33*j - 1189826 = 0. Is j prime?
True
Is (-56)/(-28) + 587*7 a composite number?
False
Suppose -2*s = 2*g - 30138, 16*s = 13*s - 5*g + 45203. Is s a prime number?
False
Is ((-4)/6)/(22/(-28347)) prime?
True
Let x(q) = q**2 - 7*q - 18. Let p be x(9). Is -6 + 2175 - (p - -2) a prime number?
False
Is (-43910)/6*(27/9 - 6) composite?
True
Let m be ((-636)/20)/((-5)/50). Suppose -4*v + m + 190 = 0. Is v composite?
False
Let b(p) = -p**3 - 5*p**2 - 7*p - 6. Let o be b(-9). Suppose 2*i + i - f = 1208, i - o = -4*f. Is i a prime number?
True
Suppose 23713 = 5*q - 2*d, -4*q - 3*d + 5*d + 18972 = 0. Is q composite?
True
Let x(d) = 8*d**3 - 6*d**2 + 2*d - 10. Let f be x(5). Let w = 1758 - f. Let q = w + -379. Is q prime?
False
Let h = 262 + -130. Suppose 4*o - h = -3*w + 938, 0 = 4*w - 2*o - 1434. Is w composite?
True
Suppose -11*i + 61704 + 16847 = 0. Is i a composite number?
True
Let a be 9*(7 + -1) - (1 - -1). Let v = 321 - a. Is v a prime number?
True
Let h(r) = 818*r - 5. Let z be h(2). Suppose 0 = 3*k - 4*k + z. Is k a prime number?
False
Let d = -83 - -81. Is 11838/6*(d + 1)/(-1) composite?
False
Suppose -742 = -5*t - 3*a + 1386, 3*t + 4*a = 1268. Let s = t + 581. Is s a composite number?
False
Let n = 850 - -29. Is n prime?
False
Let j(h) = -h**3 + 6*h**2 - 2*h - 10. Let m be j(5). Suppose 5*o = -4*x + 285, 0*x + m*o = -x + 90. Is x composite?
True
Suppose -v + 48 = 3*j, -7 - 21 = -2*j - 2*v. Suppose 18*w = j*w. Suppose w = -3*z + 4*x + 1425, 0 = -3*z + 4*z + 4*x - 491. Is z composite?
False
Let q(m) = m**3 + 16*m**2 + 18*m + 7. Suppose -4*h + x = -5*h + 2, -5*h + 22 = x. Let t be (-108)/45*1*h. Is q(t) a composite number?
False
Let c(f) = 2*f**2 - 2*f + 2. Let d(x) = x**3 - 3*x**2 + 3*x - 3. Let q be d(3). Let z be (q/10)/(3/(-15)). Is c(z) a composite number?
True
Suppose 24700 + 30390 = 10*g. Is g a composite number?
True
Let x = -9 + 17. Suppose -x = -2*c, 2*r - c = -3*r + 291. Is r a composite number?
False
Let g(d) = d**3 - 12*d**2 + d - 12. Let b be g(12). Suppose 3*x + 67 + 107 = b. Is (1 - x)*(-8)/(-8) a prime number?
True
Let n be ((-6)/4)/((-12)/16). Suppose n*a + 3*a = 6265. Is a a prime number?
False
Is 132*(-2 - 66/(-12)) - 4 prime?
False
Let h be (3*-3 + 3)*42/(-36). Suppose -h*b + 326 = -9201. Is b composite?
False
Suppose -47*p + 55*p = 12056. Is p composite?
True
Let h(d) = -2*d**3 + 17*d**2 + 15*d - 17. Is h(-21) prime?
False
Let y(t) = 13 + 6*t - 6 - 7*t. Let k be y(3). Is 258 + k/(1 + 3) a composite number?
True
Is 63890/(-1)*1*9/(-18) a composite number?
True
Let a = 1 - -5. Is 139 - 1/((-2)/a) prime?
False
Suppose -2*a = -4*a + 5*n + 110, 4*n = -8. Let f = 808 - a. Suppose f = 4*h - 2*r, -5*h = 2*r - 608 - 317. Is h prime?
False
Is 88526/2*(4 + -3) a composite number?
False
Let t be (-3)/(-7) + 7684/(-28). Let f = 497 + t. Is f prime?
True
Suppose 9 + 1 = -2*u. Let j(y) be the third derivative of -83*y**4/12 + 3*y**3/2 + 6*y**2. Is j(u) composite?
False
Let f = 6124 - -813. Suppose -n + f = 6*n. Is n composite?
False
Suppose -17 - 183 = -2*s + 3*n, -4*s + 412 = -3*n. Let h(k) = -144*k + 3. Let o be h(-2). Let u = o + s. Is u composite?
False
Let p(j) = 2*j - 11. Let x be p(8). Let m(g) = -2 + 1 + 12*g**2 + 4*g**3 - g - x*g**3. Is m(5) a composite number?
True
Suppose -10*g = -8*g - 212. Suppose f = 120 + g. Is f composite?
True
Let d = 8 + -12. Let n be (-32)/(-128) - (-1149)/(-4). Is 10/d*(n - -13) a composite number?
True
Let w(k) = k**3 - 12*k**2 - 6*k - 19. Let u be w(13). Suppose -5*d = 3*j - 201, 4*j - u = -2*d + 7*j. Is d a prime number?
False
Let f(w) = -w**3 + 8*w**2 + w - 5. Let y be f(6). Suppose -2*d - 3*h = -3*d - 27, 2*h + 10 = 0. Let g = y - d. Is g a prime number?
False
Let x(l) = 60*l**2 + 13*l - 30. Is x(-7) a prime number?
True
Let p = 5312 - 895. Is p a prime number?
False
Suppose -x + 6*x - 760 = 0. Suppose 3*g - 375 - x = -z, 4*g - z = 691. Suppose -3*r - g = -6*r. Is r a composite number?
True
Let l = 35 - -378. Is l prime?
False
Suppose -z - 55 = -5*i, -3*i + 37 = -2*i + 5*z. Suppose 0 = 4*q + i, 4*g = 3*g + 4*q + 3155. Is g a composite number?
True
Let b(t) = -546*t - 61. Is b(-7) prime?
True
Let d(j) = -2*j - 9. Let n be d(-6). Let l be 3 + (3 - (7 - n)). Suppose 2*t = -4*p + 118, -t + 4*p - 65 = -l*t. Is t prime?
True
Let z(o) = -o**3 - 18*o**2 + 3*o - 25. Is z(-23) prime?
True
Let h be (5 - 19)*6/(-21). Suppose 5*l = -h*u + 7, -3*u + 4*l + 0*l + 13 = 0. Suppose -4*j + 237 = -u*j. Is j a prime number?
False
Let g(m) = -40*m - 5. Let d be g(-2). Let h = 46 + d. Is h a prime number?
False
Let l(g) = 135*g**2 + 14*g + 44. Is l(7) composite?
True
Suppose 49897 + 120093 = 10*s. Is s a composite number?
True
Suppose -3707 = -10*i + 17103. Is i prime?
True
Let w = -1908 - -3025. Is w prime?
True
Let c be 67 + 3 - (0 + 1). Let u = c + -44. Is u a composite number?
True
Let v(x) = -x**2 - 8*x - 2. Let z be v(-7). Suppose -h - 197 = -o + 142, -5*o - z*h = -1645. Suppose -48 = -2*i + o. Is i prime?
True
Let r(i) = -56*i**3 + 7*i**2 + 12*i + 7. Suppose -10*n + 0 =
|
{
"pile_set_name": "DM Mathematics"
}
|
/55
Four letters picked without replacement from {q: 2, r: 3}. What is prob of sequence qqrr?
1/10
Four letters picked without replacement from vzvs. What is prob of sequence vzvs?
1/12
Calculate prob of sequence dz when two letters picked without replacement from dzjjddjdjjjdj.
5/156
Four letters picked without replacement from {i: 4, k: 2, d: 1}. Give prob of sequence kdii.
1/35
Two letters picked without replacement from gyyy. Give prob of sequence yg.
1/4
What is prob of sequence dd when two letters picked without replacement from {d: 3, t: 3}?
1/5
Two letters picked without replacement from {m: 5, a: 3}. Give prob of sequence aa.
3/28
Calculate prob of sequence bc when two letters picked without replacement from {b: 1, x: 7, c: 6}.
3/91
Calculate prob of sequence ve when two letters picked without replacement from {n: 1, v: 2, e: 1}.
1/6
Four letters picked without replacement from {u: 2, j: 11}. Give prob of sequence uujj.
1/78
Calculate prob of sequence ybg when three letters picked without replacement from {f: 2, l: 1, y: 2, b: 2, z: 4, g: 4}.
8/1365
Calculate prob of sequence gkgk when four letters picked without replacement from {k: 2, g: 4}.
1/15
What is prob of sequence iz when two letters picked without replacement from {z: 5, f: 6, i: 1, q: 1, x: 6}?
5/342
Three letters picked without replacement from {b: 7, h: 3, i: 8}. Give prob of sequence ibi.
49/612
What is prob of sequence zmez when four letters picked without replacement from mezemzee?
1/105
Calculate prob of sequence dc when two letters picked without replacement from {d: 4, e: 2, c: 4}.
8/45
Calculate prob of sequence nnn when three letters picked without replacement from nnnnnnnnnn.
1
Two letters picked without replacement from oobbpyyoooooosyoopyy. What is prob of sequence oy?
5/38
Calculate prob of sequence ppxx when four letters picked without replacement from {p: 5, w: 8, x: 3}.
1/364
Calculate prob of sequence rru when three letters picked without replacement from rrrrrururrurrrr.
66/455
Calculate prob of sequence jqj when three letters picked without replacement from bqjnnnjjnjjbjjjsj.
3/170
Calculate prob of sequence jjc when three letters picked without replacement from jjjjjjjjjjjcjjj.
1/15
Two letters picked without replacement from {r: 3, c: 4}. What is prob of sequence cr?
2/7
Four letters picked without replacement from {b: 10, g: 9}. Give prob of sequence gbbb.
45/646
Four letters picked without replacement from {j: 4, p: 1, g: 2}. Give prob of sequence gpgj.
1/105
What is prob of sequence iid when three letters picked without replacement from idddddid?
1/28
Two letters picked without replacement from ebehebbbbebbc. What is prob of sequence bh?
7/156
Three letters picked without replacement from ccgggcggcgg. What is prob of sequence cgg?
28/165
Calculate prob of sequence niin when four letters picked without replacement from plnjinijjnccjjinpjpn.
1/969
Two letters picked without replacement from {f: 2, d: 5, h: 6}. What is prob of sequence ff?
1/78
Two letters picked without replacement from {t: 1, r: 4, a: 4, v: 5, m: 1}. What is prob of sequence ra?
8/105
Calculate prob of sequence ecq when three letters picked without replacement from ueumeqmlmmuc.
1/660
What is prob of sequence nf when two letters picked without replacement from ffnffnffffnf?
9/44
Two letters picked without replacement from {y: 4, w: 3, k: 2, v: 1}. What is prob of sequence wk?
1/15
Two letters picked without replacement from qqqqqqjq. What is prob of sequence qj?
1/8
Three letters picked without replacement from ekerekkekerk. What is prob of sequence kek?
5/66
Four letters picked without replacement from ssssssyyyy. Give prob of sequence sssy.
2/21
What is prob of sequence jujj when four letters picked without replacement from {j: 1, i: 2, b: 1, u: 1}?
0
Four letters picked without replacement from {h: 4, p: 1, s: 4, f: 2, v: 1, b: 2}. What is prob of sequence sbhs?
4/1001
Calculate prob of sequence gggh when four letters picked without replacement from {h: 4, g: 16}.
112/969
What is prob of sequence ar when two letters picked without replacement from hdhmhhadmmhrhdd?
1/210
Two letters picked without replacement from aaaaaaafaaaafaaaaa. What is prob of sequence af?
16/153
Calculate prob of sequence pwpj when four letters picked without replacement from {w: 2, s: 1, p: 5, j: 1, h: 1}.
1/126
Calculate prob of sequence ai when two letters picked without replacement from {i: 4, j: 1, x: 3, a: 2, c: 7}.
1/34
Calculate prob of sequence zggt when four letters picked without replacement from zgegtgtzzgeegrgzzt.
5/816
Calculate prob of sequence lb when two letters picked without replacement from blnb.
1/6
Four letters picked without replacement from jpjjvpjvzyzjyjzy. What is prob of sequence jjzj?
3/364
Three letters picked without replacement from jyyyyjyyxxyyyxy. What is prob of sequence jyx?
2/91
What is prob of sequence xwc when three letters picked without replacement from {c: 4, x: 2, f: 6, w: 1, a: 2}?
4/1365
Calculate prob of sequence bhhf when four letters picked without replacement from {b: 1, f: 3, h: 5}.
5/252
Calculate prob of sequence oooo when four letters picked without replacement from ooooooooo.
1
Four letters picked without replacement from nnnncnnncnnnnnnnnn. Give prob of sequence ccnn.
1/153
Four letters picked without replacement from {u: 1, m: 1, a: 4, e: 1, i: 4}. Give prob of sequence iiau.
1/165
Two letters picked without replacement from mmmmmmmmumuumummmm. Give prob of sequence mm.
91/153
Three letters picked without replacement from xiskikxkixkkkuxkimim. Give prob of sequence mmx.
1/855
Four letters picked without replacement from djejjjjjyjyjdj. Give prob of sequence dejj.
6/1001
Calculate prob of sequence ll when two letters picked without replacement from {l: 4, p: 2}.
2/5
Four letters picked without replacement from {f: 3, c: 3, h: 7, e: 5, a: 1}. What is prob of sequence acfe?
5/10336
Calculate prob of sequence rrrr when four letters picked without replacement from {n: 4, r: 7}.
7/66
Two letters picked without replacement from {m: 8, l: 2, f: 2, q: 3}. Give prob of sequence ml.
8/105
Two letters picked without replacement from {k: 1, i: 2, b: 2, q: 1, g: 1}. What is prob of sequence kg?
1/42
Four letters picked without replacement from vsqhisqvjjqq. Give prob of sequence qjhq.
1/495
Calculate prob of sequence jhjh when four letters picked without replacement from hjhhhhjhhjjj.
7/99
Calculate prob of sequence rhxx when four letters picked without replacement from kxhrkxx.
1/140
What is prob of sequence kky when three letters picked without replacement from {k: 4, y: 9, r: 1}?
9/182
Four letters picked without replacement from tcclggttvtc. What is prob of sequence vgcc?
1/660
Calculate prob of sequence znz when three letters picked without replacement from jjnzjnznnnnznzzlzjj.
35/969
What is prob of sequence crcr when four letters picked without replacement from rrcrrccrcccrc?
21/286
Three letters picked without replacement from {p: 1, j: 2, g: 1, b: 2, h: 1}. What is prob of sequence hbb?
1/105
Calculate prob of sequence cz when two letters picked without replacement from {z: 1, r: 10, j: 1, c: 2}.
1/91
What is prob of sequence yky when three letters picked without replacement from yoykke?
1/30
Four letters picked without replacement from {t: 2, p: 5, w: 9, y: 2}. Give prob of sequence ttwp.
1/816
Three letters picked without replacement from {b: 4}. Give prob of sequence bbb.
1
Three letters picked without replacement from vvvjj. Give prob of sequence jjj.
0
Four letters picked without replacement from {j: 4, u: 3}. Give prob of sequence juuu.
1/35
Two letters picked without replacement from {u: 2, w: 9, q: 6}. What is prob of sequence wq?
27/136
What is prob of sequence rrr when three letters picked without replacement from {a: 9, r: 9}?
7/68
What is prob of sequence mcc when three letters picked without replacement from {b: 2, h: 1, m: 9, c: 7, w: 1}?
21/380
Two letters picked without replacement from fnnfnfhnnnnnnnnnn. What is prob of sequence nh?
13/272
Two letters picked without replacement from {t: 11, j: 1, s: 1, q: 6}. What is prob of sequence sj?
1/342
Three letters picked without replacement from xoihggxq. Give prob of sequence qxx.
1/168
Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
-2756 divided by 689
-4
What is -385 divided by 1?
-385
Divide -5 by -55.
1/11
4 divided by -541
-4/541
What is 14 divided by -4?
-7/2
What is 19934 divided by 2?
9967
Calculate -587 divided by -4.
587/4
What is -370 divided by 3?
-370/3
904 divided by 113
8
Calculate -126 divided by -3.
42
522 divided by 174
3
1326 divided by 17
78
Calculate -360 divided by 72.
-5
Divide -8 by 1264.
-1/158
Divide -57 by 4.
-57/4
Divide 1184 by -4.
-296
Divide 50 by 65.
10/13
-26 divided by -31
26/31
What is -1452 divided by -44?
33
-271 divided by -4
271/4
What is -2 divided by 4?
-1/2
-11830 divided by -130
91
3 divided by 99
1/33
Divide 2453 by 4.
2453/4
Divide 2 by 422.
1/211
Calculate -15945 divided by -15.
1063
Calculate -1782 divided by 66.
-27
What is 471 divided by -3?
-157
Calculate 4197 divided by -1.
-4197
4 divided by -1211
-4/1211
-1 divided by 1306
-1/1306
1058 divided by 1
1058
Calculate -4981 divided by 4981.
-1
Calculate 600 divided by -10.
-60
What is 3996 divided by 6?
666
0 divided by -84
0
What is -20704 divided by -4?
5176
Divide -71 by -1.
71
Calculate -19 divided by -16.
19/16
What is 2 divided by 258?
1/129
What is 22440 divided by 88?
255
2 divided by -5075
-2/5075
What is 9 divided by 140?
9/140
Divide 58 by -62.
-29/31
1068 divided by 4
267
80 divided by 5
16
-22565 divided by -5
4513
-2 divided by -55
2/55
Divide 351 by -39.
-9
Divide -14 by -3.
14/3
0 divided by -102
0
-8460 divided by -20
423
Calculate -1850 divided by -370.
5
Divide 4 by 775.
4/775
What is -12502 divided by 19?
-658
Divide -480 by 480.
-1
Calculate -68 divided by 17.
-4
Divide -176 by 44.
-4
-3789 divided by -3
1263
Calculate -16650 divided by -3330.
5
-5 divided by 33
-5/33
Calculate 42 divided by 7.
6
Calculate -5 divided by 37.
-5/37
Calculate -1268 divided by -4.
317
What is -8532 divided by -711?
12
Calculate -2656 divided by 32.
-83
Calculate -1820 divided by 13.
-140
Calculate 40 divided by -3.
-40/3
Calculate 80 divided by 5.
16
Divide -1 by -10.
1/10
Divide -7 by 39.
-7/39
What is -3 divided by 58?
-3/58
1011 divided by -4
-1011/4
Divide -7664 by -2.
3832
What is 702 divided by -2?
-351
Calculate 84 divided by 3.
28
352 divided by 352
1
Divide 39327 by -3.
-13109
What is 4845 divided by -3?
-1615
Calculate -150 divided by 25.
-6
Calculate -11 divided by 56.
-11/56
0 divided by -1180
0
230 divided by 46
5
Divide 623 by 89.
7
Divide 200150 by 5.
40030
Divide -44682 by 6.
-7447
Calculate 57 divided by 19.
3
Divide -55 by 9.
-55/9
What is -8352 divided by -87?
96
Calculate 41 divided by 29.
41/29
What is 15 divided by -3?
-5
What is 1 divided by 8?
1/8
Calculate -3 divided by -1180.
3/1180
What is -200 divided by -4?
50
-209 divided by 1
-209
Calculate 7134 divided by 123.
58
What is 127 divided by 2?
127/2
What is 2122 divided by -2?
-1061
Divide -450 by 90.
-5
What is 4 divided by -11?
-4/11
What is -14 divided by -12?
7/6
Divide -364 by 2.
-182
Divide -3283 by -469.
7
Divide -70 by 1.
-70
-681 divided by 4
-681/4
Calculate -8 divided by -938.
4/469
Calculate 92 divided by 6.
46/3
-3450 divided by -6
575
What is -510 divided by -2?
255
476 divided by 119
4
Calculate 980 divided by -6.
-490/3
What is -234 divided by -6?
39
Calculate -5 divided by 63.
-5/63
What is -13 divided by 182?
-1/14
954 divided by 2
477
-2568 divided by 3
-856
-774 divided by 1
-774
Calculate 1637 divided by 1.
1637
Divide -648 by -36.
18
Divide 3 by 49.
3/49
What is -168 divided by -84?
2
Calculate 394 divided by 1.
394
Calculate 2262 divided by -1131.
-2
What is -5931 divided by 1977?
-3
Calculate 792 divided by 72.
11
-1188 divided by 33
-36
-2 divided by 425
-2/425
What is 3 divided by -58?
-3/58
What is -3 divided by 1920?
-1/640
Calculate -28914 divided by -6.
4819
Divide 1984 by -62.
-32
-380 divided by -76
5
-38 divided by 5
-38/5
What is 202 divided by -23?
-202/23
Divide 37 by -2.
-37/2
What is 4404 divided by 1101?
4
Divide 4 by -51.
-4/51
Divide 17801 by 1.
17801
Calculate 1282 divided by 1282.
1
Calculate -5 divided by -481.
5/481
Calculate 133 divided by 60.
133/60
Calculate -2 divided by -1355.
2/1355
Calculate 588 divided by -28.
-21
Calculate -604 divided by -151.
4
0 divided by 219
0
Divide -24 by 2.
-12
What is 5 divided by 273?
5/273
Calculate -430 divided by -215.
2
Calculate -2 divided by -21.
2/21
84 divided by 84
1
Calculate -2467 divided by -5.
2467/5
Calculate 7 divided by -619.
-7/619
Calculate -1143 divided by 10.
-1143/10
-720 divided by 6
-120
Divide -48 by 12.
-4
Calculate 35 divided by -78.
-35/78
Divide -186 by -93.
2
-80 divided by -18
40/9
Divide -37 by 53.
-37/53
Calculate 19336 divided by 4.
4834
What is 1860 divided by -6?
-310
-675 divided by 225
-3
-59 divided by -1
59
Divide 110 by -12.
-55/6
Divide -732 by 61.
-12
What is 216 divided by 18?
12
Calculate -10494 divided by -11.
954
Calculate 0 divided by 130.
0
What is -1170 divided by 5?
-234
Calculate -51 divided by 5.
-51/5
What is -96 divided by -32?
3
What is 720 divided by 24?
30
What is -5225 divided by -95?
55
Calculate -306 divided by 34.
-9
What is -609 divided by 7?
-87
2720 divided by -170
-16
What is 4 divided by -612?
-1/153
What is -210 divided by 210?
-1
What is -114300 divided by -6?
19050
Calculate 2 divided by -9.
-2/9
Calculate -3 divided by 179.
-3/179
171 divided by -3
-57
What is -8640 divided by 2?
-4320
-1130 divided by 10
-113
Calculate -132 divided by -22.
6
What is -731 divided by -5?
731/5
Divide -10965 by 5.
-2193
What is -9204 divided by 6?
-1534
-2530 divided by 1265
-2
Divide -8165 by -2.
8165/2
179 divided by 35
179/35
-1 divided by 65
-1/65
Calculate 420 divided by 14.
30
What is -10 divided by -10?
1
What is -442 divided by 17?
-26
Divide 10 by -2.
-5
Divide 6 by -816.
-1/136
-10353 divided by -51
203
Divide -20510 by -4.
10255/2
What is 4 divided by 74?
2/37
-26 divided by 13
-2
What is 65 divided by 13?
5
What is 3012 divided by 6?
502
What is 210 divided by 5?
42
Divide 2904 by 11.
264
Calculate 240 divided by -6.
-40
What is -1936 divided by 3?
-1936/3
What is 9000 divided by -10?
-900
Divide -15 by 3.
-5
-1 divided by -883
1/883
-11 divided by 34
-11/34
290 divided by -4
-145/2
What is 12 divided by -101?
-12/101
30 divided by 5
6
Divide 54 by -7.
-54/7
Divide -6292 by 4.
-1573
-26 divided by 1
-26
Divide -7497 by -3.
2499
What is 12 divided by -97?
-12/97
Divide 0 by 83.
0
Divide -620 by -31.
20
What is 8916 divided by -3?
-2972
Calculate 322 divided by 6.
161/3
1485 divided by 99
15
-35 divided by -10
7/2
Divide -15 by -127.
15/127
Calculate 5 divided by -23.
-5/23
-5292 divided by -3
1764
16 divided by -16
-1
-36 divided by 9
-4
Divide 5 by -23.
-5/23
Divide 483 by 483.
1
Calculate -21252 divided by 4.
-5313
Calculate 10392 divided by 2.
5196
-4 divided by -845
4/845
Divide -360 by -10.
36
Calculate -5 divided by 182.
-5/182
Calculate 6324 divided by 6.
1054
Divide -5 by -1543.
5/1543
9520 divided by -2
-4760
What is -2 divided by 290?
-1/145
Calculate -140 divided by 7.
-20
8232 divided by -84
-98
What is 4950 divided by -5?
-990
512 divided by -5
-512/5
Calculate 0 divided by 563.
0
Calculate -80 divided by 40.
-2
What is -67347 divided by 3?
-22449
Calculate -522 divided by -174.
3
0 divided by 27
0
Divide -34 by -1.
34
Divide -76 by -19.
4
Calculate 2 divided by -166.
-1/83
Divide 920 by 8.
115
What is 273 divided by -22?
-273/22
What is 0 divided by -131?
0
Divide -2284 by -571.
4
Calculate 213 divided by -3.
-71
Calculate 0 divided by 6.
0
-456 divided by 57
-8
Divide 252 by -2.
-126
Divide 880 by -5.
-176
Calculate 1 divided by -1.
-1
-5480 divided by -10
548
What is -112 divided by -7?
16
Calculate 1380 divided by 230.
6
What is 0 divided by 198?
0
What is -1549 divided by -4?
1549/4
8 divided by -234
-4/117
380 divided by 4
95
-1794 divided by -26
69
Calculate 187 divided by 3.
187/3
What is -209 divided by -3?
209/3
What is -111 divided by 2?
-111/2
Calculate 35 divided by 15.
7/3
Divide -6081 by 3.
-2027
660 divided by 330
2
Divide -5229 by 1.
-5229
Divide -7590 by 5.
-1518
Calculate 88 divided by 3.
88/3
Divide 15 by 1171.
15/1171
Calculate 40 divided by 32.
5/4
164 divided by 2
82
Calculate -3 divided by -6.
1/2
What is -23 divided by -21?
23/21
Divide 377 by -5.
-377/5
24 divided by 6
4
Calculate -8676 divided by -6.
1446
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
**7/840 + u**6/90 - u**5/60 + u**4/12 - u**3/2 + u. Let n(c) be the second derivative of q(c). Calculate n(-5).
-13
Let t(x) be the first derivative of -x**2 - 7*x + 2. Let k be t(-5). Let i(a) = -a + 3*a + 2*a**2 + 3*a**2 + a**k + 5 + 0*a. What is i(-5)?
-5
Let v(y) = 2*y + 2. Let d(m) = m - 13. Let h be d(11). Let q = -2 + h. Determine v(q).
-6
Let h(w) = -5*w - 9. Let y be 8/28 + (-19)/(-7). Let r(l) = 2*l + 3. Let b(x) = y*h(x) + 8*r(x). Give b(0).
-3
Let v(b) be the third derivative of -b**6/120 - b**5/30 + b**4/24 - b**3/6 + 66*b**2. Determine v(-3).
5
Let l(o) = 7*o**3 - 2*o**2 + 10*o + 10. Let c(z) = 13*z**3 - 3*z**2 + 18*z + 19. Let b(g) = -6*c(g) + 11*l(g). Give b(-4).
-12
Let l = -1 - -2. Suppose -3*a + 31 = 2*j, -j = 3*j - 3*a - 71. Suppose -l = 4*v - j. Let o(d) = -d**3 + 5*d**2 - d - 5. Give o(v).
7
Let j(c) = 3*c + c**3 + 5*c**2 + 5*c - 6*c - 3*c. Determine j(-5).
5
Let a(q) = -2*q - 11. Suppose 5*j - 8*w + 4*w + 25 = 0, -4*j - 20 = -3*w. What is a(j)?
-1
Let i(l) = -l**2 - 4*l + 6. Let j = 1 + -11. Let p = j - -3. Let c(y) = y**3 + 6*y**2 - 7*y - 6. Let s be c(p). What is i(s)?
-6
Let g = 3 - 8. Let l be (-13)/g + (-2)/(-5). Suppose -l*p = v - 14, -7 = -p - 2. Let q(i) = 2*i**3 + 2*i**2 + i. What is q(v)?
-1
Let p(y) = 10*y**2 + 1. Let l(h) = h**2 + 9*h + 4. Let w be l(-9). Let g(f) = -f + 3. Let n be g(w). Calculate p(n).
11
Let u(y) = y + 10. Let w be u(-7). Suppose -3*h + 13 = -2*p + w*p, -h = -4. Let n(k) = -2*k**3. Determine n(p).
-2
Let l(p) be the first derivative of -1/8*p**4 - 4 - p**3 - 1/120*p**5 + 0*p + 0*p**2. Let c(s) be the third derivative of l(s). Calculate c(-4).
1
Let r(l) = -19 - l**3 + 4*l**2 - 3*l**2 + 19 + l. Give r(1).
1
Let m(a) = -6*a + 37. Let t be m(7). Let p(c) = -c**2 - 3*c + 3. Give p(t).
-7
Let d(o) = -7 - o + 3*o + 3. Suppose 4*u + 35 = 211. Let z be 2/6 - u/(-12). Give d(z).
4
Let g = -10 - -14. Suppose 5*d = g*d. Let o(a) = 0*a + d*a + 6*a - 2*a - 3. What is o(2)?
5
Let r be -6*(15/(-9) - -2). Let t(k) = 2*k + 1. Let j(g) = -g - 1. Let n(i) = 3*j(i) + 2*t(i). Determine n(r).
-3
Let b(h) be the second derivative of h**3/3 + 9*h**2/2 + 8*h. Let y(g) = -g - 4. Let c(j) = -6*b(j) - 15*y(j). What is c(-4)?
-6
Suppose -13*k + 16*k = -2*y - 15, 2*k = -10. Let a(b) = -b**3 + 5. Calculate a(y).
5
Let q(u) = u**3 - 4*u**2 + 2*u - 3. Let d(i) = -i**3 - 3*i**2 + 3. Let b be d(-3). Determine q(b).
-6
Let j = -15 + 10. Let d(c) = -6*c - 8. Let l(k) = -7*k - 9. Let s(u) = j*l(u) + 6*d(u). Determine s(0).
-3
Let n(c) = -c**2 + 9*c. Let t(x) = -x. Let a(g) = n(g) + 4*t(g). Give a(6).
-6
Let u(c) be the second derivative of c**5/20 + c**4/3 - 4*c**3/3 - 7*c**2/2 + 10*c. What is u(-5)?
8
Let q(l) be the second derivative of l**8/6720 - l**7/630 + l**5/30 + l**4/4 - l. Let o(b) be the third derivative of q(b). Determine o(3).
-5
Let z(s) = -9*s - 11. Let p(g) = -3*g - 4. Let m(x) = 17*p(x) - 6*z(x). Calculate m(-2).
-8
Suppose m = 0, 12 = -4*q - 0*m + 5*m. Let k(j) = j**2 + j - 4. Determine k(q).
2
Suppose 5*j = 4*j - 10. Let z = j - -9. Let k(s) = -6*s**3 - s**2 - 3*s + 2. Let u(w) = -12*w**3 - w**2 - 5*w + 3. Let g(q) = -5*k(q) + 3*u(q). Calculate g(z).
7
Let d(j) = 4*j**2 - j + 1. Let v = -28 - -63. Let k be 464/(-7) + 10/v. Let w be (-78)/k - (-4)/(-22). Give d(w).
4
Let j(q) be the third derivative of -q**6/60 + q**5/30 - q**4/8 + q**3/2 + 18*q**2. What is j(2)?
-11
Let s(u) = u + 2. Let h(l) = l + 12. Let f be h(-17). Give s(f).
-3
Let z(l) = 3*l - 3. Let d(v) = -7*v - 1. Let k be d(-1). Suppose 5*y = 3*g - 4*g + k, -41 = -4*g - 3*y. Let u = 14 - g. Determine z(u).
6
Let l = 5 + -1. Let n(p) = 2 - 2*p**3 - l*p**2 - 2*p + 6*p**3 - 5*p**3. Give n(-3).
-1
Let i be 1 - (-9)/(-3) - -2. Let p be (i - 2)/((-4)/(-6)). Let f(r) = -r**3 - 4*r**2 - 2*r + 3. Let s be f(p). Let v(b) = -b + 2. What is v(s)?
2
Let l = 0 - -5. Let f be (-10)/l + (-1 - -7). Let i(a) = -6*a**2 + 3 + 3*a**2 + 2*a + 2*a**2. What is i(f)?
-5
Let t(x) be the first derivative of -x**2/2 + 11*x + 1. Determine t(6).
5
Let y be (-16)/3 + (-4)/6. Let c be y/4*20/6. Let w(m) = 0*m + 3*m - 2*m. Give w(c).
-5
Suppose 0 = -0*u + u - 4. Suppose 0 = 5*v - v - u. Let t(q) = 8*q + 2. Let s(b) = -8*b - 3. Let c(p) = 3*s(p) + 4*t(p). Give c(v).
7
Let r = -5 + 9. Let w(p) be the second derivative of 1/4*p**r + 0 + p**2 - 1/20*p**5 - 1/6*p**3 + 2*p. Determine w(3).
-1
Let b(c) = -3*c**2 - 2*c + 1. Let l be ((-2)/(-6))/(6/36). Suppose -2*d + 5*y = -12 + 1, -2 = 4*d - l*y. Calculate b(d).
-7
Let p be ((-1)/(-2))/(2/16). Suppose 3*v = p*v + 5. Let q(k) = k**3 + 4*k**2 - 4*k + 4. Give q(v).
-1
Let b(d) = 5*d + 2*d - 4*d - 4. Let t be 1*6 - 2 - 1. What is b(t)?
5
Suppose 0 = -0*q + q - 2. Let a(z) = -z**2 - z - 5*z**2 + q*z - 2*z**2. Determine a(1).
-7
Let q be 0 + -3 + 1 + -1. Let z(t) = t**3 + t**2 - 3*t + 4. Calculate z(q).
-5
Let v(o) = -o**3 - 5*o**2 + 6*o + 2. Let z(d) = -11 - 5*d + 9*d - 5*d. Let u be z(-5). Give v(u).
2
Let u be (4/3)/((-2)/(-3)). Let r = u + -3. Let x(d) = 20*d - 6*d - 3 - 7*d + 4. What is x(r)?
-6
Let n(z) = z**2 + 5*z. Let j be n(-5). Let p(q) = 1 - 18*q + 17*q + 1 - 1. Determine p(j).
1
Let j(u) = 2 - 5*u**2 + 3*u**2 + u - 4 + u**2. Suppose 0*n - 3*n = 0. Suppose n*f = 3*f. Calculate j(f).
-2
Let u(i) = i + 11. Let c be u(-9). Let q(p) = p**3 - p**2 - p - 2. Let n be q(c). Let o(r) = -r + 7. Give o(n).
7
Let c(g) = 2*g**3 - 14*g**2 + 15*g - 2. Let f(u) = u**3 - 7*u**2 + 8*u - 1. Let r(v) = -3*c(v) + 5*f(v). What is r(6)?
7
Let m(z) = z**2 + 10*z + 8. Suppose -4*j - 34 = 5*r - j, r + 6 = -j. What is m(r)?
-8
Let j(h) = 16*h - 40. Let i(c) be the third derivative of c**4/8 - 4*c**3/3 + c**2. Let f(m) = -11*i(m) + 2*j(m). Give f(6).
2
Let y = 8 - 3. Let l(z) = -3*z + 3. What is l(y)?
-12
Let w(u) = u**3 + 4*u**2 - 4*u - 2. Let v be 12/60 - (-52)/(-10). What is w(v)?
-7
Let o be ((-20)/(-3)*(-6)/4)/(-2). Let y(q) = q**2 - 6*q. Calculate y(o).
-5
Let d be (-1 + 2)*10/(-2). Let l(h) = -2*h. Determine l(d).
10
Suppose -3*h = 5*s - 5, -4*h + 8*s - 3*s - 5 = 0. Let b = -3 - h. Let q(k) = -k**3 - 4*k**2 + 2*k + 4. Determine q(b).
-11
Let b = 27 + -23. Let t(v) = -v. What is t(b)?
-4
Let w be (3/2)/(3/4). Let n(h) = h**3 + h**2 - 4*h + 3. Give n(w).
7
Let j(d) be the first derivative of d**2/2 - 15*d - 38. Determine j(12).
-3
Let i(t) be the first derivative of t**4/4 - t**3/3 - 3*t**2/2 - 3*t - 80. Let n = -6 + 9. Calculate i(n).
6
Let s(t) = t**2 - 3*t - 7. Let n = -23 - -29. Determine s(n).
11
Let t(v) = -v + 6. Let s = 16 + -11. What is t(s)?
1
Let i(z) = z**3 + 10*z**2 + 6*z + 12. Let s(j) = j**3 + 11*j**2 + 7*j + 13. Let f(c) = -5*i(c) + 4*s(c). What is f(-6)?
4
Suppose -2*i + 8 = -2. Let y(r) be the first derivative of 2*r**2 - 6*r + 2. Give y(i).
14
Let c(y) = 43*y**2 - 3*y + 40*y**2 - 82*y**2. Let a(r) = 2*r**3 - 3*r**2. Let h be a(2). Give c(h).
4
Let v(j) = j**3 + 4*j**2 - 2*j - 4. Let l(f) be the first derivative of f**4/4 + 4*f**3/3 - f**2 - 3*f + 4. Let g(q) = -5*l(q) + 4*v(q). What is g(-4)?
-9
Let v(o) = o**3 - 5*o**2 + 3*o - 3. Let b be v(4). Let w be 2/b - (-88)/14. Let h(t) = t**3 - 6*t**2 - 2*t + 9. What is h(w)?
-3
Suppose a - z = -2*a, 0 = 3*z. Let c(w) = 2*w**2 + 230 - 236 + w - w**2. Determine c(a).
-6
Let p(g) = g**3 - 7*g**2 - 6*g - 10. Let j(n) = 2*n**2 + 16*n + 8. Let y be j(-8). Calculate p(y).
6
Suppose -11 = 4*c - 3. Let y be ((-2)/(-3))/(c/(-12)). Let h(v) = -v**2 + 5*v - 5. Calculate h(y).
-1
Suppose 0*d - 3*y = d - 13, 5*y - 18 = 2*d. Let f be (7 + -2)*d/1. Let w(g) = g**3 - 4*g**2 - 5*g - 6. What is w(f)?
-6
Let z be (2/(-3))/((-1)/(-3)). Let g(m) = -5*m**2 - 3*m - 2. Give g(z).
-16
Let g(v) be the second derivative of -2*v**3/3 - v**2 + 12*v. What is g(-4)?
14
Let y(v) = v**2 + 4. Let s = 7 + -5. Suppose -2*d + 5 = -o, -4*o = 3*d - s*o + 10. What is y(d)?
4
Suppose -c + 3*c + 8 = -4*o, -5*o - 15 = 0. Let z(a) = 4*a + 3 - a**2 - c + 3*a - 4*a. Calculate z(3).
1
Let b = -1 + 3. Suppose -7*q + 26 = 3*n - b*q, -5*n - 2*q = -18. Let l(o) = 2*o**3 - 6*o**n - o**3 + 2*o**2 - 6*o + 5. What is l(5)?
0
Suppose 7*h = h - 36. Let c(i) = -i**2 - 4 + 0*i**2 - 7*i + 2. Calculate c(h).
4
Let x(r) = -2*r**2 - 7*r - 4. Suppose 0 = -y + 5. Suppose 4*b + 2 = -6, 0 = y*n - 3*b + 19. Let u be n/(-15) + (-13)/3. What is x(u)?
-8
Le
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{
"pile_set_name": "DM Mathematics"
}
|
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